id	sid	tid	token	lemma	pos
ajote-8309	1	1	tracing	trace	VERB
ajote-8309	1	2	pre	pre	ADJ
ajote-8309	1	3	-	-	ADJ
ajote-8309	1	4	service	service	ADJ
ajote-8309	1	5	teachers	teacher	NOUN
ajote-8309	1	6	’	’	PART
ajote-8309	1	7	understanding	understanding	NOUN
ajote-8309	1	8	of	of	ADP
ajote-8309	1	9	specialized	specialized	ADJ
ajote-8309	1	10	content	content	NOUN
ajote-8309	1	11	knowledge	knowledge	NOUN
ajote-8309	1	12	for	for	ADP
ajote-8309	1	13	sequencing	sequence	VERB
ajote-8309	1	14	and	and	CCONJ
ajote-8309	1	15	structuring	structure	VERB
ajote-8309	1	16	mathematics	mathematic	NOUN
ajote-8309	1	17	learning	learning	NOUN
ajote-8309	1	18	in	in	ADP
ajote-8309	1	19	lowresource	lowresource	PROPN
ajote-8309	1	20	malawi	malawi	PROPN
ajote-8309	1	21	classrooms	classroom	VERB
ajote-8309	1	22	everton	everton	PROPN
ajote-8309	1	23	jacinto	jacinto	PROPN
ajote-8309	1	24	,	,	PUNCT
ajote-8309	1	25	arne	arne	ADJ
ajote-8309	1	26	jakobsen	jakobsen	NOUN
ajote-8309	1	27	,	,	PUNCT
ajote-8309	1	28	raymond	raymond	PROPN
ajote-8309	1	29	bjuland	bjuland	PROPN
ajote-8309	1	30	university	university	PROPN
ajote-8309	1	31	of	of	ADP
ajote-8309	1	32	stavanger	stavanger	PROPN
ajote-8309	1	33	abstract	abstract	PROPN
ajote-8309	1	34	teaching	teaching	NOUN
ajote-8309	1	35	quality	quality	NOUN
ajote-8309	1	36	is	be	AUX
ajote-8309	1	37	especially	especially	ADV
ajote-8309	1	38	critical	critical	ADJ
ajote-8309	1	39	in	in	ADP
ajote-8309	1	40	under	under	ADV
ajote-8309	1	41	-	-	PUNCT
ajote-8309	1	42	resourced	resource	VERB
ajote-8309	1	43	malawian	malawian	ADJ
ajote-8309	1	44	classrooms	classroom	NOUN
ajote-8309	1	45	,	,	PUNCT
ajote-8309	1	46	yet	yet	CCONJ
ajote-8309	1	47	little	little	ADJ
ajote-8309	1	48	is	be	AUX
ajote-8309	1	49	understood	understand	VERB
ajote-8309	1	50	about	about	ADP
ajote-8309	1	51	how	how	SCONJ
ajote-8309	1	52	pre	pre	ADJ
ajote-8309	1	53	-	-	ADJ
ajote-8309	1	54	service	service	ADJ
ajote-8309	1	55	teachers	teacher	NOUN
ajote-8309	1	56	build	build	VERB
ajote-8309	1	57	the	the	DET
ajote-8309	1	58	specific	specific	ADJ
ajote-8309	1	59	knowledge	knowledge	NOUN
ajote-8309	1	60	and	and	CCONJ
ajote-8309	1	61	skills	skill	NOUN
ajote-8309	1	62	required	require	VERB
ajote-8309	1	63	for	for	ADP
ajote-8309	1	64	effective	effective	ADJ
ajote-8309	1	65	mathematics	mathematic	NOUN
ajote-8309	1	66	teaching	teaching	NOUN
ajote-8309	1	67	.	.	PUNCT
ajote-8309	2	1	this	this	DET
ajote-8309	2	2	study	study	NOUN
ajote-8309	2	3	explores	explore	VERB
ajote-8309	2	4	how	how	SCONJ
ajote-8309	2	5	two	two	NUM
ajote-8309	2	6	first	first	ADJ
ajote-8309	2	7	-	-	PUNCT
ajote-8309	2	8	year	year	NOUN
ajote-8309	2	9	malawian	malawian	ADJ
ajote-8309	2	10	pre	pre	ADJ
ajote-8309	2	11	-	-	ADJ
ajote-8309	2	12	service	service	ADJ
ajote-8309	2	13	teachers	teacher	NOUN
ajote-8309	2	14	approach	approach	VERB
ajote-8309	2	15	sequencing	sequence	VERB
ajote-8309	2	16	and	and	CCONJ
ajote-8309	2	17	structuring	structure	VERB
ajote-8309	2	18	mathematics	mathematic	NOUN
ajote-8309	2	19	learning	learning	NOUN
ajote-8309	2	20	—	—	PUNCT
ajote-8309	2	21	crucial	crucial	ADJ
ajote-8309	2	22	aspects	aspect	NOUN
ajote-8309	2	23	of	of	ADP
ajote-8309	2	24	specialized	specialized	ADJ
ajote-8309	2	25	content	content	NOUN
ajote-8309	2	26	knowledge	knowledge	NOUN
ajote-8309	2	27	(	(	PUNCT
ajote-8309	2	28	sck	sck	PROPN
ajote-8309	2	29	)	)	PUNCT
ajote-8309	2	30	.	.	PUNCT
ajote-8309	3	1	through	through	ADP
ajote-8309	3	2	thematic	thematic	ADJ
ajote-8309	3	3	analysis	analysis	NOUN
ajote-8309	3	4	of	of	ADP
ajote-8309	3	5	data	datum	NOUN
ajote-8309	3	6	from	from	ADP
ajote-8309	3	7	a	a	DET
ajote-8309	3	8	teacher	teacher	NOUN
ajote-8309	3	9	education	education	NOUN
ajote-8309	3	10	college	college	NOUN
ajote-8309	3	11	and	and	CCONJ
ajote-8309	3	12	primary	primary	ADJ
ajote-8309	3	13	schools	school	NOUN
ajote-8309	3	14	,	,	PUNCT
ajote-8309	3	15	we	we	PRON
ajote-8309	3	16	found	find	VERB
ajote-8309	3	17	that	that	SCONJ
ajote-8309	3	18	pre	pre	ADJ
ajote-8309	3	19	-	-	ADJ
ajote-8309	3	20	service	service	ADJ
ajote-8309	3	21	teachers	teacher	NOUN
ajote-8309	3	22	often	often	ADV
ajote-8309	3	23	rely	rely	VERB
ajote-8309	3	24	on	on	ADP
ajote-8309	3	25	their	their	PRON
ajote-8309	3	26	training	training	NOUN
ajote-8309	3	27	and	and	CCONJ
ajote-8309	3	28	low	low	ADJ
ajote-8309	3	29	-	-	PUNCT
ajote-8309	3	30	cost	cost	NOUN
ajote-8309	3	31	instructional	instructional	ADJ
ajote-8309	3	32	resources	resource	NOUN
ajote-8309	3	33	,	,	PUNCT
ajote-8309	3	34	which	which	PRON
ajote-8309	3	35	may	may	AUX
ajote-8309	3	36	limit	limit	VERB
ajote-8309	3	37	responsiveness	responsiveness	NOUN
ajote-8309	3	38	to	to	ADP
ajote-8309	3	39	students	student	NOUN
ajote-8309	3	40	’	'	PUNCT
ajote-8309	3	41	needs	need	NOUN
ajote-8309	3	42	and	and	CCONJ
ajote-8309	3	43	the	the	DET
ajote-8309	3	44	ability	ability	NOUN
ajote-8309	3	45	to	to	PART
ajote-8309	3	46	foster	foster	VERB
ajote-8309	3	47	conceptual	conceptual	ADJ
ajote-8309	3	48	links	link	NOUN
ajote-8309	3	49	between	between	ADP
ajote-8309	3	50	mathematical	mathematical	ADJ
ajote-8309	3	51	topics	topic	NOUN
ajote-8309	3	52	.	.	PUNCT
ajote-8309	4	1	however	however	ADV
ajote-8309	4	2	,	,	PUNCT
ajote-8309	4	3	as	as	SCONJ
ajote-8309	4	4	their	their	PRON
ajote-8309	4	5	training	training	NOUN
ajote-8309	4	6	progresses	progress	NOUN
ajote-8309	4	7	,	,	PUNCT
ajote-8309	4	8	they	they	PRON
ajote-8309	4	9	demonstrate	demonstrate	VERB
ajote-8309	4	10	greater	great	ADJ
ajote-8309	4	11	awareness	awareness	NOUN
ajote-8309	4	12	of	of	ADP
ajote-8309	4	13	the	the	DET
ajote-8309	4	14	complexities	complexity	NOUN
ajote-8309	4	15	involved	involve	VERB
ajote-8309	4	16	in	in	ADP
ajote-8309	4	17	effective	effective	ADJ
ajote-8309	4	18	mathematics	mathematic	NOUN
ajote-8309	4	19	instruction	instruction	NOUN
ajote-8309	4	20	and	and	CCONJ
ajote-8309	4	21	show	show	VERB
ajote-8309	4	22	improved	improved	ADJ
ajote-8309	4	23	adaptability	adaptability	NOUN
ajote-8309	4	24	in	in	ADP
ajote-8309	4	25	sequencing	sequence	VERB
ajote-8309	4	26	and	and	CCONJ
ajote-8309	4	27	structuring	structuring	NOUN
ajote-8309	4	28	lessons	lesson	NOUN
ajote-8309	4	29	.	.	PUNCT
ajote-8309	5	1	these	these	DET
ajote-8309	5	2	findings	finding	NOUN
ajote-8309	5	3	emphasize	emphasize	VERB
ajote-8309	5	4	the	the	DET
ajote-8309	5	5	importance	importance	NOUN
ajote-8309	5	6	of	of	ADP
ajote-8309	5	7	reflective	reflective	ADJ
ajote-8309	5	8	,	,	PUNCT
ajote-8309	5	9	practice	practice	NOUN
ajote-8309	5	10	-	-	PUNCT
ajote-8309	5	11	based	base	VERB
ajote-8309	5	12	teacher	teacher	NOUN
ajote-8309	5	13	education	education	NOUN
ajote-8309	5	14	and	and	CCONJ
ajote-8309	5	15	highlight	highlight	VERB
ajote-8309	5	16	the	the	DET
ajote-8309	5	17	need	need	NOUN
ajote-8309	5	18	for	for	ADP
ajote-8309	5	19	further	further	ADJ
ajote-8309	5	20	research	research	NOUN
ajote-8309	5	21	on	on	ADP
ajote-8309	5	22	sck	sck	PROPN
ajote-8309	5	23	development	development	PROPN
ajote-8309	5	24	in	in	ADP
ajote-8309	5	25	lowresource	lowresource	PROPN
ajote-8309	5	26	contexts	contexts	NOUN
ajote-8309	5	27	.	.	PUNCT
ajote-8309	6	1	keywords	keyword	NOUN
ajote-8309	6	2	:	:	PUNCT
ajote-8309	6	3	malawian	malawian	ADJ
ajote-8309	6	4	primary	primary	ADJ
ajote-8309	6	5	education	education	NOUN
ajote-8309	6	6	;	;	PUNCT
ajote-8309	6	7	mathematics	mathematics	NOUN
ajote-8309	6	8	teacher	teacher	NOUN
ajote-8309	6	9	education	education	NOUN
ajote-8309	6	10	;	;	PUNCT
ajote-8309	6	11	specialized	specialized	ADJ
ajote-8309	6	12	content	content	NOUN
ajote-8309	6	13	knowledge	knowledge	NOUN
ajote-8309	6	14	.	.	PUNCT
ajote-8309	7	1	introduction	introduction	NOUN
ajote-8309	7	2	although	although	SCONJ
ajote-8309	7	3	substantial	substantial	ADJ
ajote-8309	7	4	progress	progress	NOUN
ajote-8309	7	5	has	have	AUX
ajote-8309	7	6	been	be	AUX
ajote-8309	7	7	made	make	VERB
ajote-8309	7	8	globally	globally	ADV
ajote-8309	7	9	in	in	ADP
ajote-8309	7	10	expanding	expand	VERB
ajote-8309	7	11	access	access	NOUN
ajote-8309	7	12	to	to	ADP
ajote-8309	7	13	primary	primary	ADJ
ajote-8309	7	14	education	education	NOUN
ajote-8309	7	15	,	,	PUNCT
ajote-8309	7	16	ensuring	ensure	VERB
ajote-8309	7	17	that	that	SCONJ
ajote-8309	7	18	all	all	DET
ajote-8309	7	19	children	child	NOUN
ajote-8309	7	20	receive	receive	VERB
ajote-8309	7	21	high	high	ADJ
ajote-8309	7	22	-	-	PUNCT
ajote-8309	7	23	quality	quality	NOUN
ajote-8309	7	24	instruction	instruction	NOUN
ajote-8309	7	25	remains	remain	VERB
ajote-8309	7	26	a	a	DET
ajote-8309	7	27	significant	significant	ADJ
ajote-8309	7	28	concern	concern	NOUN
ajote-8309	7	29	,	,	PUNCT
ajote-8309	7	30	particularly	particularly	ADV
ajote-8309	7	31	in	in	ADP
ajote-8309	7	32	contexts	context	NOUN
ajote-8309	7	33	with	with	ADP
ajote-8309	7	34	limited	limited	ADJ
ajote-8309	7	35	resources	resource	NOUN
ajote-8309	7	36	.	.	PUNCT
ajote-8309	8	1	in	in	ADP
ajote-8309	8	2	the	the	DET
ajote-8309	8	3	republic	republic	NOUN
ajote-8309	8	4	of	of	ADP
ajote-8309	8	5	malawi	malawi	PROPN
ajote-8309	8	6	,	,	PUNCT
ajote-8309	8	7	where	where	SCONJ
ajote-8309	8	8	classrooms	classroom	NOUN
ajote-8309	8	9	may	may	AUX
ajote-8309	8	10	host	host	VERB
ajote-8309	8	11	up	up	ADP
ajote-8309	8	12	to	to	PART
ajote-8309	8	13	80	80	NUM
ajote-8309	8	14	pupils	pupil	NOUN
ajote-8309	8	15	per	per	ADP
ajote-8309	8	16	qualified	qualified	ADJ
ajote-8309	8	17	teacher	teacher	NOUN
ajote-8309	8	18	,	,	PUNCT
ajote-8309	8	19	one	one	NUM
ajote-8309	8	20	of	of	ADP
ajote-8309	8	21	the	the	DET
ajote-8309	8	22	highest	high	ADJ
ajote-8309	8	23	ratios	ratio	NOUN
ajote-8309	8	24	in	in	ADP
ajote-8309	8	25	subsaharan	subsaharan	PROPN
ajote-8309	8	26	africa	africa	PROPN
ajote-8309	8	27	(	(	PUNCT
ajote-8309	8	28	unicef	unicef	PROPN
ajote-8309	8	29	,	,	PUNCT
ajote-8309	8	30	2019	2019	NUM
ajote-8309	8	31	)	)	PUNCT
ajote-8309	8	32	,	,	PUNCT
ajote-8309	8	33	curricular	curricular	ADJ
ajote-8309	8	34	reforms	reform	NOUN
ajote-8309	8	35	have	have	AUX
ajote-8309	8	36	been	be	AUX
ajote-8309	8	37	introduced	introduce	VERB
ajote-8309	8	38	to	to	PART
ajote-8309	8	39	better	well	ADV
ajote-8309	8	40	prepare	prepare	VERB
ajote-8309	8	41	both	both	PRON
ajote-8309	8	42	in	in	ADP
ajote-8309	8	43	-	-	PUNCT
ajote-8309	8	44	service	service	NOUN
ajote-8309	8	45	and	and	CCONJ
ajote-8309	8	46	pre	pre	ADJ
ajote-8309	8	47	-	-	ADJ
ajote-8309	8	48	service	service	ADJ
ajote-8309	8	49	teachers	teacher	NOUN
ajote-8309	8	50	to	to	PART
ajote-8309	8	51	meet	meet	VERB
ajote-8309	8	52	the	the	DET
ajote-8309	8	53	complex	complex	ADJ
ajote-8309	8	54	demands	demand	NOUN
ajote-8309	8	55	of	of	ADP
ajote-8309	8	56	their	their	PRON
ajote-8309	8	57	profession	profession	NOUN
ajote-8309	8	58	issn	issn	VERB
ajote-8309	8	59	1916	1916	NUM
ajote-8309	8	60	-	-	SYM
ajote-8309	8	61	7822	7822	NUM
ajote-8309	8	62	.	.	PUNCT
ajote-8309	9	1	a	a	DET
ajote-8309	9	2	journal	journal	NOUN
ajote-8309	9	3	of	of	ADP
ajote-8309	9	4	spread	spread	ADJ
ajote-8309	9	5	corporation	corporation	NOUN
ajote-8309	9	6	volume	volume	NOUN
ajote-8309	9	7	14	14	NUM
ajote-8309	9	8	no	no	NOUN
ajote-8309	9	9	.	.	NOUN
ajote-8309	9	10	2	2	NUM
ajote-8309	9	11	2025	2025	NUM
ajote-8309	9	12	pages	page	NOUN
ajote-8309	9	13	92	92	NUM
ajote-8309	9	14	-	-	SYM
ajote-8309	9	15	116	116	NUM
ajote-8309	9	16	https://journal.lib.uoguelph.ca/index.php/ajote/index	https://journal.lib.uoguelph.ca/index.php/ajote/index	NOUN
ajote-8309	9	17	tracing	trace	VERB
ajote-8309	9	18	pre	pre	ADJ
ajote-8309	9	19	-	-	ADJ
ajote-8309	9	20	service	service	ADJ
ajote-8309	9	21	teachers	teacher	NOUN
ajote-8309	9	22	’	’	PART
ajote-8309	9	23	understanding	understanding	NOUN
ajote-8309	9	24	of	of	ADP
ajote-8309	9	25	specialized	specialized	ADJ
ajote-8309	9	26	content	content	NOUN
ajote-8309	9	27	knowledge	knowledge	NOUN
ajote-8309	9	28	for	for	ADP
ajote-8309	9	29	sequencing	sequence	VERB
ajote-8309	9	30	and	and	CCONJ
ajote-8309	9	31	structuring	structure	VERB
ajote-8309	9	32	mathematics	mathematic	NOUN
ajote-8309	9	33	learning	learn	VERB
ajote-8309	9	34	in	in	ADP
ajote-8309	9	35	low	low	ADJ
ajote-8309	9	36	-	-	PUNCT
ajote-8309	9	37	resource	resource	NOUN
ajote-8309	9	38	malawi	malawi	PROPN
ajote-8309	9	39	classrooms	classroom	NOUN
ajote-8309	9	40	ajote	ajote	VERB
ajote-8309	9	41	vol.14	vol.14	NOUN
ajote-8309	9	42	no.2	no.2	PROPN
ajote-8309	9	43	(	(	PUNCT
ajote-8309	9	44	2025	2025	NUM
ajote-8309	9	45	)	)	PUNCT
ajote-8309	9	46	,	,	PUNCT
ajote-8309	9	47	92	92	NUM
ajote-8309	9	48	-	-	SYM
ajote-8309	9	49	116	116	NUM
ajote-8309	9	50	93	93	NUM
ajote-8309	9	51	(	(	PUNCT
ajote-8309	9	52	kazima	kazima	PROPN
ajote-8309	9	53	,	,	PUNCT
ajote-8309	9	54	2014	2014	NUM
ajote-8309	9	55	)	)	PUNCT
ajote-8309	9	56	.	.	PUNCT
ajote-8309	10	1	these	these	DET
ajote-8309	10	2	reforms	reform	NOUN
ajote-8309	10	3	aim	aim	VERB
ajote-8309	10	4	to	to	PART
ajote-8309	10	5	ensure	ensure	VERB
ajote-8309	10	6	that	that	SCONJ
ajote-8309	10	7	teacher	teacher	NOUN
ajote-8309	10	8	candidates	candidate	NOUN
ajote-8309	10	9	acquire	acquire	VERB
ajote-8309	10	10	the	the	DET
ajote-8309	10	11	pedagogical	pedagogical	ADJ
ajote-8309	10	12	knowledge	knowledge	NOUN
ajote-8309	10	13	and	and	CCONJ
ajote-8309	10	14	practical	practical	ADJ
ajote-8309	10	15	skills	skill	NOUN
ajote-8309	10	16	necessary	necessary	ADJ
ajote-8309	10	17	to	to	PART
ajote-8309	10	18	deliver	deliver	VERB
ajote-8309	10	19	the	the	DET
ajote-8309	10	20	national	national	ADJ
ajote-8309	10	21	curriculum	curriculum	NOUN
ajote-8309	10	22	effectively	effectively	ADV
ajote-8309	10	23	,	,	PUNCT
ajote-8309	10	24	even	even	ADV
ajote-8309	10	25	in	in	ADP
ajote-8309	10	26	overcrowded	overcrowded	ADJ
ajote-8309	10	27	and	and	CCONJ
ajote-8309	10	28	under	under	ADV
ajote-8309	10	29	-	-	PUNCT
ajote-8309	10	30	resourced	resource	VERB
ajote-8309	10	31	schools	school	NOUN
ajote-8309	10	32	(	(	PUNCT
ajote-8309	10	33	malawian	malawian	PROPN
ajote-8309	10	34	institute	institute	PROPN
ajote-8309	10	35	of	of	ADP
ajote-8309	10	36	education	education	PROPN
ajote-8309	10	37	,	,	PUNCT
ajote-8309	10	38	2017	2017	NUM
ajote-8309	10	39	)	)	PUNCT
ajote-8309	10	40	.	.	PUNCT
ajote-8309	11	1	such	such	ADJ
ajote-8309	11	2	initiatives	initiative	NOUN
ajote-8309	11	3	reflect	reflect	VERB
ajote-8309	11	4	a	a	DET
ajote-8309	11	5	growing	grow	VERB
ajote-8309	11	6	global	global	ADJ
ajote-8309	11	7	recognition	recognition	NOUN
ajote-8309	11	8	that	that	SCONJ
ajote-8309	11	9	expanding	expand	VERB
ajote-8309	11	10	access	access	NOUN
ajote-8309	11	11	to	to	ADP
ajote-8309	11	12	education	education	NOUN
ajote-8309	11	13	must	must	AUX
ajote-8309	11	14	be	be	AUX
ajote-8309	11	15	matched	match	VERB
ajote-8309	11	16	by	by	ADP
ajote-8309	11	17	investment	investment	NOUN
ajote-8309	11	18	in	in	ADP
ajote-8309	11	19	teaching	teach	VERB
ajote-8309	11	20	quality	quality	NOUN
ajote-8309	11	21	(	(	PUNCT
ajote-8309	11	22	unesco	unesco	PROPN
ajote-8309	11	23	,	,	PUNCT
ajote-8309	11	24	2016	2016	NUM
ajote-8309	11	25	)	)	PUNCT
ajote-8309	11	26	.	.	PUNCT
ajote-8309	12	1	to	to	PART
ajote-8309	12	2	yield	yield	VERB
ajote-8309	12	3	meaningful	meaningful	ADJ
ajote-8309	12	4	results	result	NOUN
ajote-8309	12	5	,	,	PUNCT
ajote-8309	12	6	it	it	PRON
ajote-8309	12	7	is	be	AUX
ajote-8309	12	8	essential	essential	ADJ
ajote-8309	12	9	to	to	PART
ajote-8309	12	10	clearly	clearly	ADV
ajote-8309	12	11	define	define	VERB
ajote-8309	12	12	the	the	DET
ajote-8309	12	13	knowledge	knowledge	NOUN
ajote-8309	12	14	required	require	VERB
ajote-8309	12	15	for	for	ADP
ajote-8309	12	16	effective	effective	ADJ
ajote-8309	12	17	teaching	teaching	NOUN
ajote-8309	12	18	.	.	PUNCT
ajote-8309	13	1	although	although	SCONJ
ajote-8309	13	2	this	this	DET
ajote-8309	13	3	topic	topic	NOUN
ajote-8309	13	4	has	have	AUX
ajote-8309	13	5	been	be	AUX
ajote-8309	13	6	extensively	extensively	ADV
ajote-8309	13	7	researched	research	VERB
ajote-8309	13	8	in	in	ADP
ajote-8309	13	9	mathematics	mathematics	NOUN
ajote-8309	13	10	education	education	NOUN
ajote-8309	13	11	(	(	PUNCT
ajote-8309	13	12	ball	ball	NOUN
ajote-8309	13	13	et	et	NOUN
ajote-8309	13	14	al	al	PROPN
ajote-8309	13	15	.	.	PROPN
ajote-8309	13	16	,	,	PUNCT
ajote-8309	13	17	2008	2008	NUM
ajote-8309	13	18	;	;	PUNCT
ajote-8309	13	19	ball	ball	NOUN
ajote-8309	13	20	,	,	PUNCT
ajote-8309	13	21	2017	2017	NUM
ajote-8309	13	22	;	;	PUNCT
ajote-8309	13	23	rowland	rowland	PROPN
ajote-8309	13	24	et	et	PROPN
ajote-8309	13	25	al	al	PROPN
ajote-8309	13	26	.	.	PROPN
ajote-8309	13	27	,	,	PUNCT
ajote-8309	13	28	2005	2005	NUM
ajote-8309	13	29	)	)	PUNCT
ajote-8309	13	30	,	,	PUNCT
ajote-8309	13	31	literature	literature	NOUN
ajote-8309	13	32	examining	examine	VERB
ajote-8309	13	33	how	how	SCONJ
ajote-8309	13	34	preservice	preservice	NOUN
ajote-8309	13	35	teachers	teacher	NOUN
ajote-8309	13	36	acquire	acquire	VERB
ajote-8309	13	37	and	and	CCONJ
ajote-8309	13	38	develop	develop	VERB
ajote-8309	13	39	an	an	DET
ajote-8309	13	40	understanding	understanding	NOUN
ajote-8309	13	41	of	of	ADP
ajote-8309	13	42	such	such	ADJ
ajote-8309	13	43	knowledge	knowledge	NOUN
ajote-8309	13	44	,	,	PUNCT
ajote-8309	13	45	particularly	particularly	ADV
ajote-8309	13	46	in	in	ADP
ajote-8309	13	47	lowresource	lowresource	PROPN
ajote-8309	13	48	contexts	contexts	NOUN
ajote-8309	13	49	,	,	PUNCT
ajote-8309	13	50	remains	remain	VERB
ajote-8309	13	51	limited	limited	ADJ
ajote-8309	13	52	.	.	PUNCT
ajote-8309	14	1	a	a	DET
ajote-8309	14	2	recent	recent	ADJ
ajote-8309	14	3	study	study	NOUN
ajote-8309	14	4	by	by	ADP
ajote-8309	14	5	jakobsen	jakobsen	PROPN
ajote-8309	14	6	et	et	PROPN
ajote-8309	14	7	al	al	PROPN
ajote-8309	14	8	.	.	PUNCT
ajote-8309	14	9	(	(	PUNCT
ajote-8309	14	10	2018	2018	NUM
ajote-8309	14	11	)	)	PUNCT
ajote-8309	14	12	,	,	PUNCT
ajote-8309	14	13	conducted	conduct	VERB
ajote-8309	14	14	across	across	ADP
ajote-8309	14	15	all	all	DET
ajote-8309	14	16	teacher	teacher	NOUN
ajote-8309	14	17	education	education	NOUN
ajote-8309	14	18	colleges	college	NOUN
ajote-8309	14	19	in	in	ADP
ajote-8309	14	20	malawi	malawi	PROPN
ajote-8309	14	21	,	,	PUNCT
ajote-8309	14	22	indicated	indicate	VERB
ajote-8309	14	23	that	that	SCONJ
ajote-8309	14	24	while	while	SCONJ
ajote-8309	14	25	pre	pre	ADJ
ajote-8309	14	26	-	-	ADJ
ajote-8309	14	27	service	service	ADJ
ajote-8309	14	28	teachers	teacher	NOUN
ajote-8309	14	29	’	'	PUNCT
ajote-8309	14	30	mathematical	mathematical	ADJ
ajote-8309	14	31	knowledge	knowledge	NOUN
ajote-8309	14	32	for	for	ADP
ajote-8309	14	33	teaching	teaching	NOUN
ajote-8309	14	34	increases	increase	NOUN
ajote-8309	14	35	as	as	SCONJ
ajote-8309	14	36	they	they	PRON
ajote-8309	14	37	progress	progress	VERB
ajote-8309	14	38	through	through	ADP
ajote-8309	14	39	their	their	PRON
ajote-8309	14	40	training	training	NOUN
ajote-8309	14	41	,	,	PUNCT
ajote-8309	14	42	their	their	PRON
ajote-8309	14	43	overall	overall	ADJ
ajote-8309	14	44	growth	growth	NOUN
ajote-8309	14	45	remains	remain	VERB
ajote-8309	14	46	limited	limited	ADJ
ajote-8309	14	47	and	and	CCONJ
ajote-8309	14	48	varies	vary	VERB
ajote-8309	14	49	considerably	considerably	ADV
ajote-8309	14	50	between	between	ADP
ajote-8309	14	51	colleges	college	NOUN
ajote-8309	14	52	.	.	PUNCT
ajote-8309	15	1	consequently	consequently	ADV
ajote-8309	15	2	,	,	PUNCT
ajote-8309	15	3	further	further	ADJ
ajote-8309	15	4	investigation	investigation	NOUN
ajote-8309	15	5	is	be	AUX
ajote-8309	15	6	required	require	VERB
ajote-8309	15	7	to	to	PART
ajote-8309	15	8	explore	explore	VERB
ajote-8309	15	9	how	how	SCONJ
ajote-8309	15	10	this	this	DET
ajote-8309	15	11	knowledge	knowledge	NOUN
ajote-8309	15	12	can	can	AUX
ajote-8309	15	13	be	be	AUX
ajote-8309	15	14	cultivated	cultivate	VERB
ajote-8309	15	15	more	more	ADV
ajote-8309	15	16	effectively	effectively	ADV
ajote-8309	15	17	and	and	CCONJ
ajote-8309	15	18	enhance	enhance	VERB
ajote-8309	15	19	the	the	DET
ajote-8309	15	20	quality	quality	NOUN
ajote-8309	15	21	of	of	ADP
ajote-8309	15	22	mathematics	mathematic	NOUN
ajote-8309	15	23	education	education	NOUN
ajote-8309	15	24	(	(	PUNCT
ajote-8309	15	25	mwadzaangati	mwadzaangati	PROPN
ajote-8309	15	26	,	,	PUNCT
ajote-8309	15	27	2019	2019	NUM
ajote-8309	15	28	)	)	PUNCT
ajote-8309	15	29	.	.	PUNCT
ajote-8309	16	1	in	in	ADP
ajote-8309	16	2	response	response	NOUN
ajote-8309	16	3	to	to	ADP
ajote-8309	16	4	this	this	DET
ajote-8309	16	5	call	call	NOUN
ajote-8309	16	6	,	,	PUNCT
ajote-8309	16	7	this	this	DET
ajote-8309	16	8	study	study	NOUN
ajote-8309	16	9	examines	examine	VERB
ajote-8309	16	10	malawian	malawian	ADJ
ajote-8309	16	11	pre	pre	ADJ
ajote-8309	16	12	-	-	ADJ
ajote-8309	16	13	service	service	ADJ
ajote-8309	16	14	teachers	teacher	NOUN
ajote-8309	16	15	’	’	PART
ajote-8309	16	16	understanding	understanding	NOUN
ajote-8309	16	17	of	of	ADP
ajote-8309	16	18	the	the	DET
ajote-8309	16	19	knowledge	knowledge	NOUN
ajote-8309	16	20	—	—	PUNCT
ajote-8309	16	21	particularly	particularly	ADV
ajote-8309	16	22	sck	sck	NOUN
ajote-8309	16	23	—	—	PUNCT
ajote-8309	16	24	required	require	VERB
ajote-8309	16	25	to	to	ADP
ajote-8309	16	26	effectively	effectively	ADV
ajote-8309	16	27	sequence	sequence	NOUN
ajote-8309	16	28	and	and	CCONJ
ajote-8309	16	29	structure	structure	NOUN
ajote-8309	16	30	mathematics	mathematic	NOUN
ajote-8309	16	31	learning	learn	VERB
ajote-8309	16	32	in	in	ADP
ajote-8309	16	33	primary	primary	ADJ
ajote-8309	16	34	schools	school	NOUN
ajote-8309	16	35	.	.	PUNCT
ajote-8309	17	1	this	this	DET
ajote-8309	17	2	focus	focus	NOUN
ajote-8309	17	3	reflects	reflect	VERB
ajote-8309	17	4	the	the	DET
ajote-8309	17	5	priorities	priority	NOUN
ajote-8309	17	6	outlined	outline	VERB
ajote-8309	17	7	in	in	ADP
ajote-8309	17	8	the	the	DET
ajote-8309	17	9	malawian	malawian	ADJ
ajote-8309	17	10	teacher	teacher	NOUN
ajote-8309	17	11	education	education	NOUN
ajote-8309	17	12	curriculum	curriculum	NOUN
ajote-8309	17	13	,	,	PUNCT
ajote-8309	17	14	which	which	PRON
ajote-8309	17	15	positions	position	VERB
ajote-8309	17	16	sequencing	sequence	VERB
ajote-8309	17	17	and	and	CCONJ
ajote-8309	17	18	structuring	structuring	NOUN
ajote-8309	17	19	as	as	ADP
ajote-8309	17	20	central	central	ADJ
ajote-8309	17	21	components	component	NOUN
ajote-8309	17	22	of	of	ADP
ajote-8309	17	23	mathematics	mathematic	NOUN
ajote-8309	17	24	instruction	instruction	NOUN
ajote-8309	17	25	(	(	PUNCT
ajote-8309	17	26	malawian	malawian	ADJ
ajote-8309	17	27	institute	institute	NOUN
ajote-8309	17	28	of	of	ADP
ajote-8309	17	29	education	education	PROPN
ajote-8309	17	30	,	,	PUNCT
ajote-8309	17	31	2017	2017	NUM
ajote-8309	17	32	)	)	PUNCT
ajote-8309	17	33	.	.	PUNCT
ajote-8309	18	1	moreover	moreover	ADV
ajote-8309	18	2	,	,	PUNCT
ajote-8309	18	3	this	this	DET
ajote-8309	18	4	knowledge	knowledge	NOUN
ajote-8309	18	5	aligns	align	VERB
ajote-8309	18	6	with	with	ADP
ajote-8309	18	7	the	the	DET
ajote-8309	18	8	broader	broad	ADJ
ajote-8309	18	9	aims	aim	NOUN
ajote-8309	18	10	of	of	ADP
ajote-8309	18	11	teacher	teacher	NOUN
ajote-8309	18	12	education	education	NOUN
ajote-8309	18	13	programmes	programme	NOUN
ajote-8309	18	14	,	,	PUNCT
ajote-8309	18	15	as	as	SCONJ
ajote-8309	18	16	our	our	PRON
ajote-8309	18	17	previous	previous	ADJ
ajote-8309	18	18	research	research	NOUN
ajote-8309	18	19	has	have	AUX
ajote-8309	18	20	shown	show	VERB
ajote-8309	18	21	that	that	SCONJ
ajote-8309	18	22	it	it	PRON
ajote-8309	18	23	provides	provide	VERB
ajote-8309	18	24	valuable	valuable	ADJ
ajote-8309	18	25	insights	insight	NOUN
ajote-8309	18	26	into	into	ADP
ajote-8309	18	27	the	the	DET
ajote-8309	18	28	knowledge	knowledge	NOUN
ajote-8309	18	29	that	that	PRON
ajote-8309	18	30	teachers	teacher	NOUN
ajote-8309	18	31	draw	draw	VERB
ajote-8309	18	32	upon	upon	SCONJ
ajote-8309	18	33	to	to	PART
ajote-8309	18	34	support	support	VERB
ajote-8309	18	35	mathematics	mathematic	NOUN
ajote-8309	18	36	learning	learning	NOUN
ajote-8309	18	37	(	(	PUNCT
ajote-8309	18	38	jacinto	jacinto	PROPN
ajote-8309	18	39	&	&	CCONJ
ajote-8309	18	40	jakobsen	jakobsen	PROPN
ajote-8309	18	41	,	,	PUNCT
ajote-8309	18	42	2020	2020	NUM
ajote-8309	18	43	)	)	PUNCT
ajote-8309	18	44	.	.	PUNCT
ajote-8309	19	1	mathematical	mathematical	ADJ
ajote-8309	19	2	knowledge	knowledge	NOUN
ajote-8309	19	3	for	for	ADP
ajote-8309	19	4	teaching	teach	VERB
ajote-8309	19	5	one	one	NUM
ajote-8309	19	6	of	of	ADP
ajote-8309	19	7	the	the	DET
ajote-8309	19	8	current	current	ADJ
ajote-8309	19	9	debates	debate	NOUN
ajote-8309	19	10	among	among	ADP
ajote-8309	19	11	researchers	researcher	NOUN
ajote-8309	19	12	,	,	PUNCT
ajote-8309	19	13	educators	educator	NOUN
ajote-8309	19	14	,	,	PUNCT
ajote-8309	19	15	and	and	CCONJ
ajote-8309	19	16	educational	educational	ADJ
ajote-8309	19	17	stakeholders	stakeholder	NOUN
ajote-8309	19	18	concerns	concern	VERB
ajote-8309	19	19	the	the	DET
ajote-8309	19	20	scope	scope	NOUN
ajote-8309	19	21	and	and	CCONJ
ajote-8309	19	22	nature	nature	NOUN
ajote-8309	19	23	of	of	ADP
ajote-8309	19	24	the	the	DET
ajote-8309	19	25	knowledge	knowledge	NOUN
ajote-8309	19	26	required	require	VERB
ajote-8309	19	27	for	for	ADP
ajote-8309	19	28	teaching	teaching	NOUN
ajote-8309	19	29	(	(	PUNCT
ajote-8309	19	30	grossman	grossman	NOUN
ajote-8309	19	31	,	,	PUNCT
ajote-8309	19	32	1990	1990	NUM
ajote-8309	19	33	;	;	PUNCT
ajote-8309	19	34	shulman	shulman	NOUN
ajote-8309	19	35	,	,	PUNCT
ajote-8309	19	36	1986	1986	NUM
ajote-8309	19	37	;	;	PUNCT
ajote-8309	19	38	tardif	tardif	PROPN
ajote-8309	19	39	et	et	PROPN
ajote-8309	19	40	al	al	PROPN
ajote-8309	19	41	.	.	PROPN
ajote-8309	19	42	,	,	PUNCT
ajote-8309	19	43	2002	2002	NUM
ajote-8309	19	44	)	)	PUNCT
ajote-8309	19	45	.	.	PUNCT
ajote-8309	20	1	although	although	SCONJ
ajote-8309	20	2	various	various	ADJ
ajote-8309	20	3	frameworks	framework	NOUN
ajote-8309	20	4	have	have	AUX
ajote-8309	20	5	been	be	AUX
ajote-8309	20	6	proposed	propose	VERB
ajote-8309	20	7	,	,	PUNCT
ajote-8309	20	8	mathematical	mathematical	ADJ
ajote-8309	20	9	knowledge	knowledge	NOUN
ajote-8309	20	10	in	in	ADP
ajote-8309	20	11	teaching	teaching	NOUN
ajote-8309	20	12	(	(	PUNCT
ajote-8309	20	13	rowland	rowland	PROPN
ajote-8309	20	14	et	et	PROPN
ajote-8309	20	15	al	al	PROPN
ajote-8309	20	16	.	.	PROPN
ajote-8309	20	17	,	,	PUNCT
ajote-8309	20	18	2005	2005	NUM
ajote-8309	20	19	)	)	PUNCT
ajote-8309	20	20	,	,	PUNCT
ajote-8309	20	21	mathematics	mathematic	NOUN
ajote-8309	20	22	for	for	ADP
ajote-8309	20	23	teaching	teaching	NOUN
ajote-8309	20	24	(	(	PUNCT
ajote-8309	20	25	davis	davis	PROPN
ajote-8309	20	26	&	&	CCONJ
ajote-8309	20	27	simmt	simmt	PROPN
ajote-8309	20	28	,	,	PUNCT
ajote-8309	20	29	2006	2006	NUM
ajote-8309	20	30	)	)	PUNCT
ajote-8309	20	31	,	,	PUNCT
ajote-8309	20	32	and	and	CCONJ
ajote-8309	20	33	mathematical	mathematical	ADJ
ajote-8309	20	34	knowledge	knowledge	NOUN
ajote-8309	20	35	for	for	ADP
ajote-8309	20	36	teaching	teaching	NOUN
ajote-8309	20	37	(	(	PUNCT
ajote-8309	20	38	ball	ball	NOUN
ajote-8309	20	39	et	et	NOUN
ajote-8309	20	40	al	al	PROPN
ajote-8309	20	41	.	.	PROPN
ajote-8309	20	42	,	,	PUNCT
ajote-8309	20	43	2008	2008	NUM
ajote-8309	20	44	)	)	PUNCT
ajote-8309	20	45	are	be	AUX
ajote-8309	20	46	among	among	ADP
ajote-8309	20	47	the	the	DET
ajote-8309	20	48	most	most	ADV
ajote-8309	20	49	widely	widely	ADV
ajote-8309	20	50	accepted	accept	VERB
ajote-8309	20	51	in	in	ADP
ajote-8309	20	52	mathematics	mathematic	NOUN
ajote-8309	20	53	education	education	NOUN
ajote-8309	20	54	.	.	PUNCT
ajote-8309	21	1	in	in	ADP
ajote-8309	21	2	developing	develop	VERB
ajote-8309	21	3	the	the	DET
ajote-8309	21	4	mathematical	mathematical	ADJ
ajote-8309	21	5	knowledge	knowledge	NOUN
ajote-8309	21	6	for	for	ADP
ajote-8309	21	7	teaching	teaching	NOUN
ajote-8309	21	8	(	(	PUNCT
ajote-8309	21	9	mkt	mkt	PROPN
ajote-8309	21	10	)	)	PUNCT
ajote-8309	21	11	framework	framework	NOUN
ajote-8309	21	12	,	,	PUNCT
ajote-8309	21	13	ball	ball	NOUN
ajote-8309	21	14	et	et	NOUN
ajote-8309	21	15	al	al	PROPN
ajote-8309	21	16	.	.	PUNCT
ajote-8309	22	1	(	(	PUNCT
ajote-8309	22	2	2008	2008	NUM
ajote-8309	22	3	)	)	PUNCT
ajote-8309	22	4	focused	focus	VERB
ajote-8309	22	5	on	on	ADP
ajote-8309	22	6	the	the	DET
ajote-8309	22	7	mathematical	mathematical	ADJ
ajote-8309	22	8	knowledge	knowledge	NOUN
ajote-8309	22	9	necessary	necessary	ADJ
ajote-8309	22	10	to	to	PART
ajote-8309	22	11	perform	perform	VERB
ajote-8309	22	12	the	the	DET
ajote-8309	22	13	core	core	NOUN
ajote-8309	22	14	tasks	task	NOUN
ajote-8309	22	15	of	of	ADP
ajote-8309	22	16	teaching	teaching	NOUN
ajote-8309	22	17	.	.	PUNCT
ajote-8309	23	1	they	they	PRON
ajote-8309	23	2	proposed	propose	VERB
ajote-8309	23	3	six	six	NUM
ajote-8309	23	4	domains	domain	NOUN
ajote-8309	23	5	:	:	PUNCT
ajote-8309	23	6	three	three	NUM
ajote-8309	23	7	everton	everton	PROPN
ajote-8309	23	8	jacinto	jacinto	PROPN
ajote-8309	23	9	,	,	PUNCT
ajote-8309	23	10	arne	arne	ADJ
ajote-8309	23	11	jakobsen	jakobsen	NOUN
ajote-8309	23	12	,	,	PUNCT
ajote-8309	23	13	raymond	raymond	PROPN
ajote-8309	23	14	bjuland	bjuland	PROPN
ajote-8309	23	15	ajote	ajote	PROPN
ajote-8309	23	16	vol.14	vol.14	NOUN
ajote-8309	23	17	no.2	no.2	PROPN
ajote-8309	23	18	(	(	PUNCT
ajote-8309	23	19	2025	2025	NUM
ajote-8309	23	20	)	)	PUNCT
ajote-8309	23	21	,	,	PUNCT
ajote-8309	23	22	92	92	NUM
ajote-8309	23	23	-	-	SYM
ajote-8309	23	24	116	116	NUM
ajote-8309	23	25	94	94	NUM
ajote-8309	23	26	extending	extend	VERB
ajote-8309	23	27	shulman	shulman	PROPN
ajote-8309	23	28	’s	’s	PART
ajote-8309	23	29	(	(	PUNCT
ajote-8309	23	30	1986	1986	NUM
ajote-8309	23	31	)	)	PUNCT
ajote-8309	23	32	concept	concept	NOUN
ajote-8309	23	33	of	of	ADP
ajote-8309	23	34	pedagogical	pedagogical	ADJ
ajote-8309	23	35	content	content	NOUN
ajote-8309	23	36	knowledge	knowledge	NOUN
ajote-8309	23	37	—	—	PUNCT
ajote-8309	23	38	knowledge	knowledge	NOUN
ajote-8309	23	39	of	of	ADP
ajote-8309	23	40	content	content	NOUN
ajote-8309	23	41	and	and	CCONJ
ajote-8309	23	42	students	student	NOUN
ajote-8309	23	43	(	(	PUNCT
ajote-8309	23	44	kcs	kcs	PROPN
ajote-8309	23	45	)	)	PUNCT
ajote-8309	23	46	,	,	PUNCT
ajote-8309	23	47	knowledge	knowledge	NOUN
ajote-8309	23	48	of	of	ADP
ajote-8309	23	49	content	content	NOUN
ajote-8309	23	50	and	and	CCONJ
ajote-8309	23	51	teaching	teaching	NOUN
ajote-8309	23	52	(	(	PUNCT
ajote-8309	23	53	kct	kct	PROPN
ajote-8309	23	54	)	)	PUNCT
ajote-8309	23	55	,	,	PUNCT
ajote-8309	23	56	and	and	CCONJ
ajote-8309	23	57	knowledge	knowledge	NOUN
ajote-8309	23	58	of	of	ADP
ajote-8309	23	59	content	content	NOUN
ajote-8309	23	60	and	and	CCONJ
ajote-8309	23	61	curriculum	curriculum	NOUN
ajote-8309	23	62	(	(	PUNCT
ajote-8309	23	63	kcc)—and	kcc)—and	ADV
ajote-8309	23	64	three	three	NUM
ajote-8309	23	65	related	relate	VERB
ajote-8309	23	66	to	to	ADP
ajote-8309	23	67	subject	subject	NOUN
ajote-8309	23	68	matter	matter	NOUN
ajote-8309	23	69	knowledge	knowledge	NOUN
ajote-8309	23	70	—	—	PUNCT
ajote-8309	23	71	common	common	ADJ
ajote-8309	23	72	content	content	NOUN
ajote-8309	23	73	knowledge	knowledge	NOUN
ajote-8309	23	74	(	(	PUNCT
ajote-8309	23	75	cck	cck	NOUN
ajote-8309	23	76	)	)	PUNCT
ajote-8309	23	77	,	,	PUNCT
ajote-8309	23	78	horizon	horizon	NOUN
ajote-8309	23	79	content	content	PROPN
ajote-8309	23	80	knowledge	knowledge	NOUN
ajote-8309	23	81	(	(	PUNCT
ajote-8309	23	82	hck	hck	PROPN
ajote-8309	23	83	)	)	PUNCT
ajote-8309	23	84	,	,	PUNCT
ajote-8309	23	85	and	and	CCONJ
ajote-8309	23	86	specialized	specialized	ADJ
ajote-8309	23	87	content	content	NOUN
ajote-8309	23	88	knowledge	knowledge	NOUN
ajote-8309	23	89	(	(	PUNCT
ajote-8309	23	90	sck	sck	PROPN
ajote-8309	23	91	)	)	PUNCT
ajote-8309	23	92	.	.	PUNCT
ajote-8309	24	1	these	these	DET
ajote-8309	24	2	domains	domain	NOUN
ajote-8309	24	3	have	have	AUX
ajote-8309	24	4	guided	guide	VERB
ajote-8309	24	5	teacher	teacher	NOUN
ajote-8309	24	6	education	education	NOUN
ajote-8309	24	7	programmes	programme	NOUN
ajote-8309	24	8	in	in	ADP
ajote-8309	24	9	preparing	prepare	VERB
ajote-8309	24	10	teachers	teacher	NOUN
ajote-8309	24	11	to	to	PART
ajote-8309	24	12	navigate	navigate	VERB
ajote-8309	24	13	the	the	DET
ajote-8309	24	14	complex	complex	ADJ
ajote-8309	24	15	demands	demand	NOUN
ajote-8309	24	16	of	of	ADP
ajote-8309	24	17	classroom	classroom	NOUN
ajote-8309	24	18	instruction	instruction	NOUN
ajote-8309	24	19	(	(	PUNCT
ajote-8309	24	20	ball	ball	NOUN
ajote-8309	24	21	,	,	PUNCT
ajote-8309	24	22	2000	2000	NUM
ajote-8309	24	23	)	)	PUNCT
ajote-8309	24	24	.	.	PUNCT
ajote-8309	25	1	however	however	ADV
ajote-8309	25	2	,	,	PUNCT
ajote-8309	25	3	much	much	ADJ
ajote-8309	25	4	remains	remain	VERB
ajote-8309	25	5	to	to	PART
ajote-8309	25	6	be	be	AUX
ajote-8309	25	7	done	do	VERB
ajote-8309	25	8	to	to	PART
ajote-8309	25	9	clarify	clarify	VERB
ajote-8309	25	10	and	and	CCONJ
ajote-8309	25	11	support	support	VERB
ajote-8309	25	12	the	the	DET
ajote-8309	25	13	development	development	NOUN
ajote-8309	25	14	of	of	ADP
ajote-8309	25	15	these	these	DET
ajote-8309	25	16	domains	domain	NOUN
ajote-8309	25	17	,	,	PUNCT
ajote-8309	25	18	particularly	particularly	ADV
ajote-8309	25	19	for	for	ADP
ajote-8309	25	20	teaching	teach	VERB
ajote-8309	25	21	diverse	diverse	ADJ
ajote-8309	25	22	learners	learner	NOUN
ajote-8309	25	23	in	in	ADP
ajote-8309	25	24	varied	varied	ADJ
ajote-8309	25	25	settings	setting	NOUN
ajote-8309	25	26	.	.	PUNCT
ajote-8309	26	1	this	this	DET
ajote-8309	26	2	study	study	NOUN
ajote-8309	26	3	contributes	contribute	VERB
ajote-8309	26	4	to	to	ADP
ajote-8309	26	5	the	the	DET
ajote-8309	26	6	literature	literature	NOUN
ajote-8309	26	7	on	on	ADP
ajote-8309	26	8	mkt	mkt	PROPN
ajote-8309	26	9	by	by	ADP
ajote-8309	26	10	examining	examine	VERB
ajote-8309	26	11	the	the	DET
ajote-8309	26	12	role	role	NOUN
ajote-8309	26	13	of	of	ADP
ajote-8309	26	14	sck	sck	NOUN
ajote-8309	26	15	and	and	CCONJ
ajote-8309	26	16	engagement	engagement	NOUN
ajote-8309	26	17	with	with	ADP
ajote-8309	26	18	teaching	teaching	NOUN
ajote-8309	26	19	tasks	task	NOUN
ajote-8309	26	20	in	in	ADP
ajote-8309	26	21	the	the	DET
ajote-8309	26	22	development	development	NOUN
ajote-8309	26	23	of	of	ADP
ajote-8309	26	24	pre	pre	ADJ
ajote-8309	26	25	-	-	ADJ
ajote-8309	26	26	service	service	ADJ
ajote-8309	26	27	teachers	teacher	NOUN
ajote-8309	26	28	’	'	PUNCT
ajote-8309	26	29	instructional	instructional	ADJ
ajote-8309	26	30	skills	skill	NOUN
ajote-8309	26	31	(	(	PUNCT
ajote-8309	26	32	ball	ball	NOUN
ajote-8309	26	33	et	et	NOUN
ajote-8309	26	34	al	al	PROPN
ajote-8309	26	35	.	.	PROPN
ajote-8309	26	36	,	,	PUNCT
ajote-8309	26	37	2008	2008	NUM
ajote-8309	26	38	;	;	PUNCT
ajote-8309	26	39	ball	ball	NOUN
ajote-8309	26	40	,	,	PUNCT
ajote-8309	26	41	2017	2017	NUM
ajote-8309	26	42	;	;	PUNCT
ajote-8309	26	43	jakobsen	jakobsen	NOUN
ajote-8309	26	44	et	et	PROPN
ajote-8309	26	45	al	al	PROPN
ajote-8309	26	46	.	.	PROPN
ajote-8309	26	47	,	,	PUNCT
ajote-8309	26	48	2018	2018	NUM
ajote-8309	26	49	;	;	PUNCT
ajote-8309	26	50	jacinto	jacinto	PROPN
ajote-8309	26	51	&	&	CCONJ
ajote-8309	26	52	jakobsen	jakobsen	PROPN
ajote-8309	26	53	,	,	PUNCT
ajote-8309	26	54	2020	2020	NUM
ajote-8309	26	55	)	)	PUNCT
ajote-8309	26	56	.	.	PUNCT
ajote-8309	27	1	sck	sck	PROPN
ajote-8309	27	2	is	be	AUX
ajote-8309	27	3	defined	define	VERB
ajote-8309	27	4	as	as	ADP
ajote-8309	27	5	the	the	DET
ajote-8309	27	6	knowledge	knowledge	NOUN
ajote-8309	27	7	required	require	VERB
ajote-8309	27	8	to	to	PART
ajote-8309	27	9	make	make	VERB
ajote-8309	27	10	specific	specific	ADJ
ajote-8309	27	11	mathematical	mathematical	ADJ
ajote-8309	27	12	content	content	NOUN
ajote-8309	27	13	visible	visible	ADJ
ajote-8309	27	14	and	and	CCONJ
ajote-8309	27	15	accessible	accessible	ADJ
ajote-8309	27	16	to	to	ADP
ajote-8309	27	17	students	student	NOUN
ajote-8309	27	18	(	(	PUNCT
ajote-8309	27	19	ball	ball	NOUN
ajote-8309	27	20	et	et	NOUN
ajote-8309	27	21	al	al	PROPN
ajote-8309	27	22	.	.	PROPN
ajote-8309	27	23	,	,	PUNCT
ajote-8309	27	24	2008	2008	NUM
ajote-8309	27	25	)	)	PUNCT
ajote-8309	27	26	and	and	CCONJ
ajote-8309	27	27	is	be	AUX
ajote-8309	27	28	considered	consider	VERB
ajote-8309	27	29	one	one	NUM
ajote-8309	27	30	of	of	ADP
ajote-8309	27	31	the	the	DET
ajote-8309	27	32	most	most	ADV
ajote-8309	27	33	demanding	demanding	ADJ
ajote-8309	27	34	components	component	NOUN
ajote-8309	27	35	of	of	ADP
ajote-8309	27	36	subject	subject	ADJ
ajote-8309	27	37	matter	matter	NOUN
ajote-8309	27	38	knowledge	knowledge	NOUN
ajote-8309	27	39	.	.	PUNCT
ajote-8309	28	1	it	it	PRON
ajote-8309	28	2	involves	involve	VERB
ajote-8309	28	3	more	more	ADJ
ajote-8309	28	4	than	than	ADP
ajote-8309	28	5	content	content	NOUN
ajote-8309	28	6	mastery	mastery	NOUN
ajote-8309	28	7	;	;	PUNCT
ajote-8309	28	8	it	it	PRON
ajote-8309	28	9	requires	require	VERB
ajote-8309	28	10	the	the	DET
ajote-8309	28	11	ability	ability	NOUN
ajote-8309	28	12	to	to	PART
ajote-8309	28	13	unpack	unpack	VERB
ajote-8309	28	14	concepts	concept	NOUN
ajote-8309	28	15	in	in	ADP
ajote-8309	28	16	pedagogically	pedagogically	ADV
ajote-8309	28	17	appropriate	appropriate	ADJ
ajote-8309	28	18	ways	way	NOUN
ajote-8309	28	19	(	(	PUNCT
ajote-8309	28	20	ding	ding	NOUN
ajote-8309	28	21	,	,	PUNCT
ajote-8309	28	22	2016	2016	NUM
ajote-8309	28	23	)	)	PUNCT
ajote-8309	28	24	.	.	PUNCT
ajote-8309	29	1	for	for	ADP
ajote-8309	29	2	example	example	NOUN
ajote-8309	29	3	,	,	PUNCT
ajote-8309	29	4	when	when	SCONJ
ajote-8309	29	5	teaching	teaching	NOUN
ajote-8309	29	6	division	division	NOUN
ajote-8309	29	7	,	,	PUNCT
ajote-8309	29	8	teachers	teacher	NOUN
ajote-8309	29	9	must	must	AUX
ajote-8309	29	10	understand	understand	VERB
ajote-8309	29	11	not	not	PART
ajote-8309	29	12	only	only	ADV
ajote-8309	29	13	procedural	procedural	ADJ
ajote-8309	29	14	variations	variation	NOUN
ajote-8309	29	15	but	but	CCONJ
ajote-8309	29	16	also	also	ADV
ajote-8309	29	17	how	how	SCONJ
ajote-8309	29	18	to	to	PART
ajote-8309	29	19	distinguish	distinguish	VERB
ajote-8309	29	20	and	and	CCONJ
ajote-8309	29	21	apply	apply	VERB
ajote-8309	29	22	conceptual	conceptual	ADJ
ajote-8309	29	23	models	model	NOUN
ajote-8309	29	24	such	such	ADJ
ajote-8309	29	25	as	as	ADP
ajote-8309	29	26	“	"	PUNCT
ajote-8309	29	27	take	take	VERB
ajote-8309	29	28	-	-	PUNCT
ajote-8309	29	29	away	away	NOUN
ajote-8309	29	30	”	"	PUNCT
ajote-8309	29	31	and	and	CCONJ
ajote-8309	29	32	“	"	PUNCT
ajote-8309	29	33	comparison	comparison	NOUN
ajote-8309	29	34	.	.	PUNCT
ajote-8309	29	35	”	"	PUNCT
ajote-8309	30	1	despite	despite	SCONJ
ajote-8309	30	2	its	its	PRON
ajote-8309	30	3	widespread	widespread	ADJ
ajote-8309	30	4	recognition	recognition	NOUN
ajote-8309	30	5	,	,	PUNCT
ajote-8309	30	6	ball	ball	NOUN
ajote-8309	30	7	et	et	NOUN
ajote-8309	30	8	al	al	PROPN
ajote-8309	30	9	.	.	PUNCT
ajote-8309	31	1	(	(	PUNCT
ajote-8309	31	2	2008	2008	NUM
ajote-8309	31	3	)	)	PUNCT
ajote-8309	31	4	offered	offer	VERB
ajote-8309	31	5	limited	limited	ADJ
ajote-8309	31	6	guidance	guidance	NOUN
ajote-8309	31	7	on	on	ADP
ajote-8309	31	8	how	how	SCONJ
ajote-8309	31	9	sck	sck	PROPN
ajote-8309	31	10	can	can	AUX
ajote-8309	31	11	be	be	AUX
ajote-8309	31	12	developed	develop	VERB
ajote-8309	31	13	.	.	PUNCT
ajote-8309	32	1	acquiring	acquire	VERB
ajote-8309	32	2	sck	sck	PROPN
ajote-8309	32	3	is	be	AUX
ajote-8309	32	4	especially	especially	ADV
ajote-8309	32	5	challenging	challenge	VERB
ajote-8309	32	6	in	in	ADP
ajote-8309	32	7	teacher	teacher	NOUN
ajote-8309	32	8	education	education	NOUN
ajote-8309	32	9	,	,	PUNCT
ajote-8309	32	10	as	as	SCONJ
ajote-8309	32	11	preservice	preservice	NOUN
ajote-8309	32	12	teachers	teacher	NOUN
ajote-8309	32	13	often	often	ADV
ajote-8309	32	14	lack	lack	VERB
ajote-8309	32	15	sustained	sustain	VERB
ajote-8309	32	16	opportunities	opportunity	NOUN
ajote-8309	32	17	to	to	PART
ajote-8309	32	18	work	work	VERB
ajote-8309	32	19	directly	directly	ADV
ajote-8309	32	20	with	with	ADP
ajote-8309	32	21	students	student	NOUN
ajote-8309	32	22	and	and	CCONJ
ajote-8309	32	23	tasks	task	NOUN
ajote-8309	32	24	that	that	PRON
ajote-8309	32	25	elicit	elicit	VERB
ajote-8309	32	26	mathematical	mathematical	ADJ
ajote-8309	32	27	thinking	thinking	NOUN
ajote-8309	32	28	(	(	PUNCT
ajote-8309	32	29	jacinto	jacinto	PROPN
ajote-8309	32	30	&	&	CCONJ
ajote-8309	32	31	jakobsen	jakobsen	PROPN
ajote-8309	32	32	,	,	PUNCT
ajote-8309	32	33	2020	2020	NUM
ajote-8309	32	34	)	)	PUNCT
ajote-8309	32	35	.	.	PUNCT
ajote-8309	33	1	practical	practical	ADJ
ajote-8309	33	2	engagement	engagement	NOUN
ajote-8309	33	3	with	with	ADP
ajote-8309	33	4	teaching	teaching	NOUN
ajote-8309	33	5	tasks	task	NOUN
ajote-8309	33	6	,	,	PUNCT
ajote-8309	33	7	such	such	ADJ
ajote-8309	33	8	as	as	ADP
ajote-8309	33	9	linking	link	VERB
ajote-8309	33	10	representations	representation	NOUN
ajote-8309	33	11	,	,	PUNCT
ajote-8309	33	12	modifying	modify	VERB
ajote-8309	33	13	textbook	textbook	NOUN
ajote-8309	33	14	content	content	NOUN
ajote-8309	33	15	,	,	PUNCT
ajote-8309	33	16	or	or	CCONJ
ajote-8309	33	17	adjusting	adjust	VERB
ajote-8309	33	18	task	task	NOUN
ajote-8309	33	19	difficulty	difficulty	NOUN
ajote-8309	33	20	,	,	PUNCT
ajote-8309	33	21	is	be	AUX
ajote-8309	33	22	essential	essential	ADJ
ajote-8309	33	23	for	for	ADP
ajote-8309	33	24	developing	develop	VERB
ajote-8309	33	25	this	this	DET
ajote-8309	33	26	knowledge	knowledge	NOUN
ajote-8309	33	27	(	(	PUNCT
ajote-8309	33	28	ball	ball	NOUN
ajote-8309	33	29	et	et	NOUN
ajote-8309	33	30	al	al	PROPN
ajote-8309	33	31	.	.	PROPN
ajote-8309	33	32	,	,	PUNCT
ajote-8309	33	33	2008	2008	NUM
ajote-8309	33	34	;	;	PUNCT
ajote-8309	33	35	ding	ding	PROPN
ajote-8309	33	36	&	&	CCONJ
ajote-8309	33	37	heffernan	heffernan	PROPN
ajote-8309	33	38	,	,	PUNCT
ajote-8309	33	39	2018	2018	NUM
ajote-8309	33	40	)	)	PUNCT
ajote-8309	33	41	.	.	PUNCT
ajote-8309	34	1	as	as	ADP
ajote-8309	34	2	such	such	ADJ
ajote-8309	34	3	,	,	PUNCT
ajote-8309	34	4	expanding	expand	VERB
ajote-8309	34	5	the	the	DET
ajote-8309	34	6	components	component	NOUN
ajote-8309	34	7	of	of	ADP
ajote-8309	34	8	sck	sck	PROPN
ajote-8309	34	9	within	within	ADP
ajote-8309	34	10	teacher	teacher	NOUN
ajote-8309	34	11	education	education	NOUN
ajote-8309	34	12	programmes	programme	NOUN
ajote-8309	34	13	is	be	AUX
ajote-8309	34	14	necessary	necessary	ADJ
ajote-8309	34	15	(	(	PUNCT
ajote-8309	34	16	hine	hine	NOUN
ajote-8309	34	17	,	,	PUNCT
ajote-8309	34	18	2015	2015	NUM
ajote-8309	34	19	;	;	PUNCT
ajote-8309	34	20	lai	lai	PROPN
ajote-8309	34	21	&	&	CCONJ
ajote-8309	34	22	clark	clark	PROPN
ajote-8309	34	23	,	,	PUNCT
ajote-8309	34	24	2018	2018	NUM
ajote-8309	34	25	)	)	PUNCT
ajote-8309	34	26	,	,	PUNCT
ajote-8309	34	27	particularly	particularly	ADV
ajote-8309	34	28	to	to	PART
ajote-8309	34	29	identify	identify	VERB
ajote-8309	34	30	core	core	NOUN
ajote-8309	34	31	teaching	teaching	NOUN
ajote-8309	34	32	practices	practice	NOUN
ajote-8309	34	33	that	that	PRON
ajote-8309	34	34	foster	foster	VERB
ajote-8309	34	35	mathematical	mathematical	ADJ
ajote-8309	34	36	understanding	understanding	NOUN
ajote-8309	34	37	across	across	ADP
ajote-8309	34	38	various	various	ADJ
ajote-8309	34	39	educational	educational	ADJ
ajote-8309	34	40	settings	setting	NOUN
ajote-8309	34	41	(	(	PUNCT
ajote-8309	34	42	jacinto	jacinto	PROPN
ajote-8309	34	43	,	,	PUNCT
ajote-8309	34	44	2020	2020	NUM
ajote-8309	34	45	)	)	PUNCT
ajote-8309	34	46	.	.	PUNCT
ajote-8309	35	1	the	the	DET
ajote-8309	35	2	knowledge	knowledge	NOUN
ajote-8309	35	3	needed	need	VERB
ajote-8309	35	4	for	for	ADP
ajote-8309	35	5	sequencing	sequence	VERB
ajote-8309	35	6	and	and	CCONJ
ajote-8309	35	7	structuring	structure	VERB
ajote-8309	35	8	mathematics	mathematic	NOUN
ajote-8309	35	9	learning	learning	NOUN
ajote-8309	35	10	:	:	PUNCT
ajote-8309	35	11	a	a	DET
ajote-8309	35	12	specific	specific	ADJ
ajote-8309	35	13	aspect	aspect	NOUN
ajote-8309	35	14	of	of	ADP
ajote-8309	35	15	sck	sck	PROPN
ajote-8309	35	16	a	a	DET
ajote-8309	35	17	key	key	ADJ
ajote-8309	35	18	aspect	aspect	NOUN
ajote-8309	35	19	of	of	ADP
ajote-8309	35	20	sck	sck	PROPN
ajote-8309	35	21	is	be	AUX
ajote-8309	35	22	the	the	DET
ajote-8309	35	23	teacher	teacher	NOUN
ajote-8309	35	24	’s	’s	PART
ajote-8309	35	25	ability	ability	NOUN
ajote-8309	35	26	to	to	PART
ajote-8309	35	27	choose	choose	VERB
ajote-8309	35	28	appropriate	appropriate	ADJ
ajote-8309	35	29	sequences	sequence	NOUN
ajote-8309	35	30	of	of	ADP
ajote-8309	35	31	activities	activity	NOUN
ajote-8309	35	32	to	to	PART
ajote-8309	35	33	support	support	VERB
ajote-8309	35	34	students	student	NOUN
ajote-8309	35	35	in	in	ADP
ajote-8309	35	36	mastering	master	VERB
ajote-8309	35	37	mathematical	mathematical	ADJ
ajote-8309	35	38	content	content	NOUN
ajote-8309	35	39	(	(	PUNCT
ajote-8309	35	40	sazama	sazama	NOUN
ajote-8309	35	41	,	,	PUNCT
ajote-8309	35	42	2017	2017	NUM
ajote-8309	35	43	)	)	PUNCT
ajote-8309	35	44	.	.	PUNCT
ajote-8309	36	1	researchers	researcher	NOUN
ajote-8309	36	2	have	have	AUX
ajote-8309	36	3	examined	examine	VERB
ajote-8309	36	4	the	the	DET
ajote-8309	36	5	value	value	NOUN
ajote-8309	36	6	of	of	ADP
ajote-8309	36	7	this	this	DET
ajote-8309	36	8	ability	ability	NOUN
ajote-8309	36	9	in	in	ADP
ajote-8309	36	10	the	the	DET
ajote-8309	36	11	context	context	NOUN
ajote-8309	36	12	of	of	ADP
ajote-8309	36	13	pre	pre	ADJ
ajote-8309	36	14	-	-	ADJ
ajote-8309	36	15	service	service	ADJ
ajote-8309	36	16	teachers	teacher	NOUN
ajote-8309	36	17	’	'	PUNCT
ajote-8309	36	18	learning	learn	VERB
ajote-8309	36	19	to	to	PART
ajote-8309	36	20	teach	teach	VERB
ajote-8309	36	21	.	.	PUNCT
ajote-8309	37	1	for	for	ADP
ajote-8309	37	2	instance	instance	NOUN
ajote-8309	37	3	,	,	PUNCT
ajote-8309	37	4	simon	simon	PROPN
ajote-8309	37	5	(	(	PUNCT
ajote-8309	37	6	2016	2016	NUM
ajote-8309	37	7	)	)	PUNCT
ajote-8309	37	8	found	find	VERB
ajote-8309	37	9	that	that	SCONJ
ajote-8309	37	10	designing	design	VERB
ajote-8309	37	11	mathematical	mathematical	ADJ
ajote-8309	37	12	task	task	NOUN
ajote-8309	37	13	sequences	sequence	NOUN
ajote-8309	37	14	contributes	contribute	VERB
ajote-8309	37	15	to	to	ADP
ajote-8309	37	16	the	the	DET
ajote-8309	37	17	tracing	trace	VERB
ajote-8309	37	18	pre	pre	ADJ
ajote-8309	37	19	-	-	ADJ
ajote-8309	37	20	service	service	ADJ
ajote-8309	37	21	teachers	teacher	NOUN
ajote-8309	37	22	’	’	PART
ajote-8309	37	23	understanding	understanding	NOUN
ajote-8309	37	24	of	of	ADP
ajote-8309	37	25	specialized	specialized	ADJ
ajote-8309	37	26	content	content	NOUN
ajote-8309	37	27	knowledge	knowledge	NOUN
ajote-8309	37	28	for	for	ADP
ajote-8309	37	29	sequencing	sequence	VERB
ajote-8309	37	30	and	and	CCONJ
ajote-8309	37	31	structuring	structure	VERB
ajote-8309	37	32	mathematics	mathematic	NOUN
ajote-8309	37	33	learning	learn	VERB
ajote-8309	37	34	in	in	ADP
ajote-8309	37	35	low	low	ADJ
ajote-8309	37	36	-	-	PUNCT
ajote-8309	37	37	resource	resource	NOUN
ajote-8309	37	38	malawi	malawi	PROPN
ajote-8309	37	39	classrooms	classroom	NOUN
ajote-8309	37	40	ajote	ajote	VERB
ajote-8309	37	41	vol.14	vol.14	NOUN
ajote-8309	37	42	no.2	no.2	PROPN
ajote-8309	37	43	(	(	PUNCT
ajote-8309	37	44	2025	2025	NUM
ajote-8309	37	45	)	)	PUNCT
ajote-8309	37	46	,	,	PUNCT
ajote-8309	37	47	92	92	NUM
ajote-8309	37	48	-	-	SYM
ajote-8309	37	49	116	116	NUM
ajote-8309	37	50	95	95	NUM
ajote-8309	37	51	development	development	NOUN
ajote-8309	37	52	of	of	ADP
ajote-8309	37	53	new	new	ADJ
ajote-8309	37	54	abstractions	abstraction	NOUN
ajote-8309	37	55	and	and	CCONJ
ajote-8309	37	56	supports	support	VERB
ajote-8309	37	57	reflection	reflection	NOUN
ajote-8309	37	58	and	and	CCONJ
ajote-8309	37	59	conceptual	conceptual	ADJ
ajote-8309	37	60	learning	learning	NOUN
ajote-8309	37	61	in	in	ADP
ajote-8309	37	62	the	the	DET
ajote-8309	37	63	classroom	classroom	NOUN
ajote-8309	37	64	.	.	PUNCT
ajote-8309	38	1	in	in	ADP
ajote-8309	38	2	a	a	DET
ajote-8309	38	3	related	related	ADJ
ajote-8309	38	4	study	study	NOUN
ajote-8309	38	5	,	,	PUNCT
ajote-8309	38	6	meikle	meikle	PROPN
ajote-8309	38	7	(	(	PUNCT
ajote-8309	38	8	2014	2014	NUM
ajote-8309	38	9	)	)	PUNCT
ajote-8309	38	10	explored	explore	VERB
ajote-8309	38	11	how	how	SCONJ
ajote-8309	38	12	pre	pre	ADJ
ajote-8309	38	13	-	-	ADJ
ajote-8309	38	14	service	service	ADJ
ajote-8309	38	15	teachers	teacher	NOUN
ajote-8309	38	16	selected	select	VERB
ajote-8309	38	17	and	and	CCONJ
ajote-8309	38	18	sequenced	sequence	VERB
ajote-8309	38	19	solution	solution	NOUN
ajote-8309	38	20	strategies	strategy	NOUN
ajote-8309	38	21	to	to	PART
ajote-8309	38	22	enhance	enhance	VERB
ajote-8309	38	23	students	student	NOUN
ajote-8309	38	24	’	'	PUNCT
ajote-8309	38	25	mathematical	mathematical	ADJ
ajote-8309	38	26	understanding	understanding	NOUN
ajote-8309	38	27	.	.	PUNCT
ajote-8309	39	1	although	although	SCONJ
ajote-8309	39	2	the	the	DET
ajote-8309	39	3	participants	participant	NOUN
ajote-8309	39	4	used	use	VERB
ajote-8309	39	5	similar	similar	ADJ
ajote-8309	39	6	strategies	strategy	NOUN
ajote-8309	39	7	,	,	PUNCT
ajote-8309	39	8	their	their	PRON
ajote-8309	39	9	underlying	underlie	VERB
ajote-8309	39	10	rationales	rationale	NOUN
ajote-8309	39	11	varied	varied	ADJ
ajote-8309	39	12	.	.	PUNCT
ajote-8309	40	1	likewise	likewise	ADV
ajote-8309	40	2	,	,	PUNCT
ajote-8309	40	3	galant	galant	NOUN
ajote-8309	40	4	(	(	PUNCT
ajote-8309	40	5	2013	2013	NUM
ajote-8309	40	6	)	)	PUNCT
ajote-8309	40	7	showed	show	VERB
ajote-8309	40	8	that	that	SCONJ
ajote-8309	40	9	selecting	select	VERB
ajote-8309	40	10	and	and	CCONJ
ajote-8309	40	11	sequencing	sequence	VERB
ajote-8309	40	12	mathematical	mathematical	ADJ
ajote-8309	40	13	activities	activity	NOUN
ajote-8309	40	14	helped	help	VERB
ajote-8309	40	15	pre	pre	ADJ
ajote-8309	40	16	-	-	ADJ
ajote-8309	40	17	service	service	ADJ
ajote-8309	40	18	teachers	teacher	NOUN
ajote-8309	40	19	better	well	ADV
ajote-8309	40	20	understand	understand	VERB
ajote-8309	40	21	students	student	NOUN
ajote-8309	40	22	’	’	PART
ajote-8309	40	23	difficulties	difficulty	NOUN
ajote-8309	40	24	and	and	CCONJ
ajote-8309	40	25	misconceptions	misconception	NOUN
ajote-8309	40	26	and	and	CCONJ
ajote-8309	40	27	how	how	SCONJ
ajote-8309	40	28	students	student	NOUN
ajote-8309	40	29	responded	respond	VERB
ajote-8309	40	30	to	to	ADP
ajote-8309	40	31	the	the	DET
ajote-8309	40	32	tasks	task	NOUN
ajote-8309	40	33	.	.	PUNCT
ajote-8309	41	1	however	however	ADV
ajote-8309	41	2	,	,	PUNCT
ajote-8309	41	3	organizing	organize	VERB
ajote-8309	41	4	teaching	teaching	NOUN
ajote-8309	41	5	tasks	task	NOUN
ajote-8309	41	6	meaningfully	meaningfully	ADV
ajote-8309	41	7	is	be	AUX
ajote-8309	41	8	often	often	ADV
ajote-8309	41	9	challenging	challenge	VERB
ajote-8309	41	10	for	for	ADP
ajote-8309	41	11	pre	pre	ADJ
ajote-8309	41	12	-	-	ADJ
ajote-8309	41	13	service	service	ADJ
ajote-8309	41	14	teachers	teacher	NOUN
ajote-8309	41	15	,	,	PUNCT
ajote-8309	41	16	who	who	PRON
ajote-8309	41	17	tend	tend	VERB
ajote-8309	41	18	to	to	PART
ajote-8309	41	19	see	see	VERB
ajote-8309	41	20	a	a	DET
ajote-8309	41	21	mathematics	mathematics	NOUN
ajote-8309	41	22	lesson	lesson	NOUN
ajote-8309	41	23	as	as	ADP
ajote-8309	41	24	a	a	DET
ajote-8309	41	25	chronological	chronological	ADJ
ajote-8309	41	26	but	but	CCONJ
ajote-8309	41	27	disconnected	disconnected	ADJ
ajote-8309	41	28	set	set	NOUN
ajote-8309	41	29	of	of	ADP
ajote-8309	41	30	steps	step	NOUN
ajote-8309	41	31	(	(	PUNCT
ajote-8309	41	32	star	star	NOUN
ajote-8309	41	33	&	&	CCONJ
ajote-8309	41	34	strickland	strickland	PROPN
ajote-8309	41	35	,	,	PUNCT
ajote-8309	41	36	2008	2008	NUM
ajote-8309	41	37	)	)	PUNCT
ajote-8309	41	38	.	.	PUNCT
ajote-8309	42	1	many	many	ADJ
ajote-8309	42	2	also	also	ADV
ajote-8309	42	3	rely	rely	VERB
ajote-8309	42	4	on	on	ADP
ajote-8309	42	5	their	their	PRON
ajote-8309	42	6	own	own	ADJ
ajote-8309	42	7	teaching	teaching	NOUN
ajote-8309	42	8	experiences	experience	NOUN
ajote-8309	42	9	to	to	PART
ajote-8309	42	10	select	select	VERB
ajote-8309	42	11	and	and	CCONJ
ajote-8309	42	12	sequence	sequence	NOUN
ajote-8309	42	13	classroom	classroom	NOUN
ajote-8309	42	14	activities	activity	NOUN
ajote-8309	42	15	and	and	CCONJ
ajote-8309	42	16	often	often	ADV
ajote-8309	42	17	consider	consider	VERB
ajote-8309	42	18	students	student	NOUN
ajote-8309	42	19	’	'	PUNCT
ajote-8309	42	20	misconceptions	misconception	NOUN
ajote-8309	42	21	when	when	SCONJ
ajote-8309	42	22	planning	planning	NOUN
ajote-8309	42	23	lessons	lesson	NOUN
ajote-8309	42	24	(	(	PUNCT
ajote-8309	42	25	e.g.	e.g.	ADV
ajote-8309	42	26	,	,	PUNCT
ajote-8309	42	27	charalambos	charalambo	NOUN
ajote-8309	42	28	,	,	PUNCT
ajote-8309	42	29	2016	2016	NUM
ajote-8309	42	30	)	)	PUNCT
ajote-8309	42	31	.	.	PUNCT
ajote-8309	43	1	these	these	DET
ajote-8309	43	2	findings	finding	NOUN
ajote-8309	43	3	have	have	AUX
ajote-8309	43	4	led	lead	VERB
ajote-8309	43	5	researchers	researcher	NOUN
ajote-8309	43	6	such	such	ADJ
ajote-8309	43	7	as	as	ADP
ajote-8309	43	8	abas	abas	PROPN
ajote-8309	43	9	(	(	PUNCT
ajote-8309	43	10	2016	2016	NUM
ajote-8309	43	11	)	)	PUNCT
ajote-8309	43	12	,	,	PUNCT
ajote-8309	43	13	kang	kang	PROPN
ajote-8309	43	14	(	(	PUNCT
ajote-8309	43	15	2016	2016	NUM
ajote-8309	43	16	)	)	PUNCT
ajote-8309	43	17	,	,	PUNCT
ajote-8309	43	18	and	and	CCONJ
ajote-8309	43	19	mallart	mallart	NOUN
ajote-8309	43	20	et	et	PROPN
ajote-8309	43	21	al	al	PROPN
ajote-8309	43	22	.	.	PROPN
ajote-8309	44	1	(	(	PUNCT
ajote-8309	44	2	2018	2018	NUM
ajote-8309	44	3	)	)	PUNCT
ajote-8309	45	1	to	to	PART
ajote-8309	45	2	conclude	conclude	VERB
ajote-8309	45	3	that	that	SCONJ
ajote-8309	45	4	pre	pre	ADJ
ajote-8309	45	5	-	-	ADJ
ajote-8309	45	6	service	service	ADJ
ajote-8309	45	7	teachers	teacher	NOUN
ajote-8309	45	8	frequently	frequently	ADV
ajote-8309	45	9	struggle	struggle	VERB
ajote-8309	45	10	to	to	PART
ajote-8309	45	11	connect	connect	VERB
ajote-8309	45	12	core	core	NOUN
ajote-8309	45	13	teaching	teaching	NOUN
ajote-8309	45	14	tasks	task	NOUN
ajote-8309	45	15	with	with	ADP
ajote-8309	45	16	educational	educational	ADJ
ajote-8309	45	17	standards	standard	NOUN
ajote-8309	45	18	and	and	CCONJ
ajote-8309	45	19	students	student	NOUN
ajote-8309	45	20	’	'	PUNCT
ajote-8309	45	21	learning	learn	VERB
ajote-8309	45	22	requirements	requirement	NOUN
ajote-8309	45	23	.	.	PUNCT
ajote-8309	46	1	this	this	DET
ajote-8309	46	2	study	study	NOUN
ajote-8309	46	3	provides	provide	VERB
ajote-8309	46	4	insights	insight	NOUN
ajote-8309	46	5	into	into	ADP
ajote-8309	46	6	how	how	SCONJ
ajote-8309	46	7	pre	pre	ADJ
ajote-8309	46	8	-	-	ADJ
ajote-8309	46	9	service	service	ADJ
ajote-8309	46	10	teachers	teacher	NOUN
ajote-8309	46	11	learn	learn	VERB
ajote-8309	46	12	and	and	CCONJ
ajote-8309	46	13	use	use	VERB
ajote-8309	46	14	the	the	DET
ajote-8309	46	15	knowledge	knowledge	NOUN
ajote-8309	46	16	required	require	VERB
ajote-8309	46	17	to	to	ADP
ajote-8309	46	18	sequence	sequence	NOUN
ajote-8309	46	19	and	and	CCONJ
ajote-8309	46	20	structure	structure	NOUN
ajote-8309	46	21	mathematics	mathematic	NOUN
ajote-8309	46	22	learning	learn	VERB
ajote-8309	46	23	in	in	ADP
ajote-8309	46	24	primary	primary	ADJ
ajote-8309	46	25	schools	school	NOUN
ajote-8309	46	26	.	.	PUNCT
ajote-8309	47	1	the	the	DET
ajote-8309	47	2	goal	goal	NOUN
ajote-8309	47	3	is	be	AUX
ajote-8309	47	4	not	not	PART
ajote-8309	47	5	only	only	ADV
ajote-8309	47	6	to	to	PART
ajote-8309	47	7	enhance	enhance	VERB
ajote-8309	47	8	our	our	PRON
ajote-8309	47	9	understanding	understanding	NOUN
ajote-8309	47	10	of	of	ADP
ajote-8309	47	11	how	how	SCONJ
ajote-8309	47	12	sck	sck	PROPN
ajote-8309	47	13	is	be	AUX
ajote-8309	47	14	interpreted	interpret	VERB
ajote-8309	47	15	and	and	CCONJ
ajote-8309	47	16	applied	apply	VERB
ajote-8309	47	17	by	by	ADP
ajote-8309	47	18	preservice	preservice	NOUN
ajote-8309	47	19	teachers	teacher	NOUN
ajote-8309	47	20	,	,	PUNCT
ajote-8309	47	21	but	but	CCONJ
ajote-8309	47	22	also	also	ADV
ajote-8309	47	23	to	to	PART
ajote-8309	47	24	shed	shed	VERB
ajote-8309	47	25	light	light	NOUN
ajote-8309	47	26	on	on	ADP
ajote-8309	47	27	how	how	SCONJ
ajote-8309	47	28	this	this	DET
ajote-8309	47	29	domain	domain	NOUN
ajote-8309	47	30	can	can	AUX
ajote-8309	47	31	inform	inform	VERB
ajote-8309	47	32	teacher	teacher	NOUN
ajote-8309	47	33	education	education	NOUN
ajote-8309	47	34	practices	practice	NOUN
ajote-8309	47	35	,	,	PUNCT
ajote-8309	47	36	particularly	particularly	ADV
ajote-8309	47	37	in	in	ADP
ajote-8309	47	38	settings	setting	NOUN
ajote-8309	47	39	where	where	SCONJ
ajote-8309	47	40	curricula	curricula	NOUN
ajote-8309	47	41	are	be	AUX
ajote-8309	47	42	still	still	ADV
ajote-8309	47	43	being	be	AUX
ajote-8309	47	44	developed	develop	VERB
ajote-8309	47	45	,	,	PUNCT
ajote-8309	47	46	such	such	ADJ
ajote-8309	47	47	as	as	ADP
ajote-8309	47	48	in	in	ADP
ajote-8309	47	49	malawi	malawi	PROPN
ajote-8309	47	50	.	.	PUNCT
ajote-8309	48	1	research	research	NOUN
ajote-8309	48	2	design	design	NOUN
ajote-8309	48	3	and	and	CCONJ
ajote-8309	48	4	participants	participant	NOUN
ajote-8309	48	5	the	the	DET
ajote-8309	48	6	study	study	NOUN
ajote-8309	48	7	is	be	AUX
ajote-8309	48	8	part	part	NOUN
ajote-8309	48	9	of	of	ADP
ajote-8309	48	10	a	a	DET
ajote-8309	48	11	doctoral	doctoral	ADJ
ajote-8309	48	12	research	research	NOUN
ajote-8309	48	13	project	project	NOUN
ajote-8309	48	14	involving	involve	VERB
ajote-8309	48	15	six	six	NUM
ajote-8309	48	16	first	first	ADJ
ajote-8309	48	17	-	-	PUNCT
ajote-8309	48	18	year	year	NOUN
ajote-8309	48	19	pre	pre	ADJ
ajote-8309	48	20	-	-	ADJ
ajote-8309	48	21	service	service	ADJ
ajote-8309	48	22	teachers	teacher	NOUN
ajote-8309	48	23	enrolled	enrol	VERB
ajote-8309	48	24	in	in	ADP
ajote-8309	48	25	a	a	DET
ajote-8309	48	26	teacher	teacher	NOUN
ajote-8309	48	27	education	education	NOUN
ajote-8309	48	28	programme	programme	NOUN
ajote-8309	48	29	in	in	ADP
ajote-8309	48	30	malawi	malawi	PROPN
ajote-8309	48	31	(	(	PUNCT
ajote-8309	48	32	see	see	VERB
ajote-8309	48	33	jacinto	jacinto	PROPN
ajote-8309	48	34	,	,	PUNCT
ajote-8309	48	35	2020	2020	NUM
ajote-8309	48	36	)	)	PUNCT
ajote-8309	48	37	.	.	PUNCT
ajote-8309	49	1	all	all	DET
ajote-8309	49	2	the	the	DET
ajote-8309	49	3	participants	participant	NOUN
ajote-8309	49	4	volunteered	volunteer	VERB
ajote-8309	49	5	to	to	PART
ajote-8309	49	6	participate	participate	VERB
ajote-8309	49	7	in	in	ADP
ajote-8309	49	8	the	the	DET
ajote-8309	49	9	study	study	NOUN
ajote-8309	49	10	project	project	NOUN
ajote-8309	49	11	.	.	PUNCT
ajote-8309	50	1	data	datum	NOUN
ajote-8309	50	2	collection	collection	NOUN
ajote-8309	50	3	began	begin	VERB
ajote-8309	50	4	at	at	ADP
ajote-8309	50	5	the	the	DET
ajote-8309	50	6	start	start	NOUN
ajote-8309	50	7	of	of	ADP
ajote-8309	50	8	their	their	PRON
ajote-8309	50	9	training	training	NOUN
ajote-8309	50	10	,	,	PUNCT
ajote-8309	50	11	which	which	PRON
ajote-8309	50	12	was	be	AUX
ajote-8309	50	13	referred	refer	VERB
ajote-8309	50	14	to	to	ADP
ajote-8309	50	15	as	as	ADP
ajote-8309	50	16	the	the	DET
ajote-8309	50	17	initial	initial	ADJ
ajote-8309	50	18	moment	moment	NOUN
ajote-8309	50	19	(	(	PUNCT
ajote-8309	50	20	i	i	NOUN
ajote-8309	50	21	m	m	PROPN
ajote-8309	50	22	)	)	PUNCT
ajote-8309	50	23	.	.	PUNCT
ajote-8309	51	1	during	during	ADP
ajote-8309	51	2	this	this	DET
ajote-8309	51	3	phase	phase	NOUN
ajote-8309	51	4	,	,	PUNCT
ajote-8309	51	5	the	the	DET
ajote-8309	51	6	participants	participant	NOUN
ajote-8309	51	7	completed	complete	VERB
ajote-8309	51	8	a	a	DET
ajote-8309	51	9	questionnaire	questionnaire	NOUN
ajote-8309	51	10	that	that	PRON
ajote-8309	51	11	explored	explore	VERB
ajote-8309	51	12	their	their	PRON
ajote-8309	51	13	preferences	preference	NOUN
ajote-8309	51	14	for	for	ADP
ajote-8309	51	15	teaching	teach	VERB
ajote-8309	51	16	mathematics	mathematic	NOUN
ajote-8309	51	17	and	and	CCONJ
ajote-8309	51	18	the	the	DET
ajote-8309	51	19	types	type	NOUN
ajote-8309	51	20	of	of	ADP
ajote-8309	51	21	knowledge	knowledge	NOUN
ajote-8309	51	22	they	they	PRON
ajote-8309	51	23	believed	believe	VERB
ajote-8309	51	24	were	be	AUX
ajote-8309	51	25	necessary	necessary	ADJ
ajote-8309	51	26	for	for	ADP
ajote-8309	51	27	teaching	teach	VERB
ajote-8309	51	28	mathematics	mathematic	NOUN
ajote-8309	51	29	in	in	ADP
ajote-8309	51	30	primary	primary	ADJ
ajote-8309	51	31	schools	school	NOUN
ajote-8309	51	32	.	.	PUNCT
ajote-8309	52	1	based	base	VERB
ajote-8309	52	2	on	on	ADP
ajote-8309	52	3	their	their	PRON
ajote-8309	52	4	responses	response	NOUN
ajote-8309	52	5	,	,	PUNCT
ajote-8309	52	6	individual	individual	ADJ
ajote-8309	52	7	audio	audio	NOUN
ajote-8309	52	8	-	-	PUNCT
ajote-8309	52	9	recorded	record	VERB
ajote-8309	52	10	interviews	interview	NOUN
ajote-8309	52	11	were	be	AUX
ajote-8309	52	12	conducted	conduct	VERB
ajote-8309	52	13	,	,	PUNCT
ajote-8309	52	14	in	in	ADP
ajote-8309	52	15	which	which	PRON
ajote-8309	52	16	the	the	DET
ajote-8309	52	17	pre	pre	ADJ
ajote-8309	52	18	-	-	ADJ
ajote-8309	52	19	service	service	ADJ
ajote-8309	52	20	teachers	teacher	NOUN
ajote-8309	52	21	were	be	AUX
ajote-8309	52	22	asked	ask	VERB
ajote-8309	52	23	to	to	PART
ajote-8309	52	24	elaborate	elaborate	VERB
ajote-8309	52	25	on	on	ADP
ajote-8309	52	26	their	their	PRON
ajote-8309	52	27	answers	answer	NOUN
ajote-8309	52	28	and	and	CCONJ
ajote-8309	52	29	provide	provide	VERB
ajote-8309	52	30	concrete	concrete	ADJ
ajote-8309	52	31	examples	example	NOUN
ajote-8309	52	32	of	of	ADP
ajote-8309	52	33	how	how	SCONJ
ajote-8309	52	34	they	they	PRON
ajote-8309	52	35	would	would	AUX
ajote-8309	52	36	apply	apply	VERB
ajote-8309	52	37	this	this	DET
ajote-8309	52	38	knowledge	knowledge	NOUN
ajote-8309	52	39	in	in	ADP
ajote-8309	52	40	the	the	DET
ajote-8309	52	41	classroom	classroom	NOUN
ajote-8309	52	42	.	.	PUNCT
ajote-8309	53	1	the	the	DET
ajote-8309	53	2	second	second	ADJ
ajote-8309	53	3	moment	moment	NOUN
ajote-8309	53	4	(	(	PUNCT
ajote-8309	53	5	sm	sm	INTJ
ajote-8309	53	6	)	)	PUNCT
ajote-8309	53	7	of	of	ADP
ajote-8309	53	8	data	datum	NOUN
ajote-8309	53	9	collection	collection	NOUN
ajote-8309	53	10	occurred	occur	VERB
ajote-8309	53	11	during	during	ADP
ajote-8309	53	12	the	the	DET
ajote-8309	53	13	participants	participant	NOUN
ajote-8309	53	14	’	'	PUNCT
ajote-8309	53	15	six	six	NUM
ajote-8309	53	16	-	-	PUNCT
ajote-8309	53	17	month	month	NOUN
ajote-8309	53	18	teaching	teaching	NOUN
ajote-8309	53	19	practicum	practicum	NOUN
ajote-8309	53	20	in	in	ADP
ajote-8309	53	21	primary	primary	ADJ
ajote-8309	53	22	schools	school	NOUN
ajote-8309	53	23	.	.	PUNCT
ajote-8309	54	1	this	this	DET
ajote-8309	54	2	phase	phase	NOUN
ajote-8309	54	3	involved	involve	VERB
ajote-8309	54	4	video	video	NOUN
ajote-8309	54	5	-	-	PUNCT
ajote-8309	54	6	recorded	record	VERB
ajote-8309	54	7	classroom	classroom	NOUN
ajote-8309	54	8	observations	observation	NOUN
ajote-8309	54	9	and	and	CCONJ
ajote-8309	54	10	post	post	ADJ
ajote-8309	54	11	-	-	ADJ
ajote-8309	54	12	lesson	lesson	NOUN
ajote-8309	54	13	interviews	interview	NOUN
ajote-8309	54	14	.	.	PUNCT
ajote-8309	55	1	the	the	DET
ajote-8309	55	2	observations	observation	NOUN
ajote-8309	55	3	focused	focus	VERB
ajote-8309	55	4	on	on	ADP
ajote-8309	55	5	identifying	identify	VERB
ajote-8309	55	6	instances	instance	NOUN
ajote-8309	55	7	where	where	SCONJ
ajote-8309	55	8	the	the	DET
ajote-8309	55	9	pre	pre	ADJ
ajote-8309	55	10	-	-	ADJ
ajote-8309	55	11	service	service	ADJ
ajote-8309	55	12	teachers	teacher	NOUN
ajote-8309	55	13	applied	apply	VERB
ajote-8309	55	14	the	the	DET
ajote-8309	55	15	knowledge	knowledge	NOUN
ajote-8309	55	16	they	they	PRON
ajote-8309	55	17	had	have	AUX
ajote-8309	55	18	previously	previously	ADV
ajote-8309	55	19	described	describe	VERB
ajote-8309	55	20	as	as	ADP
ajote-8309	55	21	everton	everton	PROPN
ajote-8309	55	22	jacinto	jacinto	PROPN
ajote-8309	55	23	,	,	PUNCT
ajote-8309	55	24	arne	arne	ADJ
ajote-8309	55	25	jakobsen	jakobsen	NOUN
ajote-8309	55	26	,	,	PUNCT
ajote-8309	55	27	raymond	raymond	PROPN
ajote-8309	55	28	bjuland	bjuland	PROPN
ajote-8309	55	29	ajote	ajote	PROPN
ajote-8309	55	30	vol.14	vol.14	NOUN
ajote-8309	55	31	no.2	no.2	PROPN
ajote-8309	55	32	(	(	PUNCT
ajote-8309	55	33	2025	2025	NUM
ajote-8309	55	34	)	)	PUNCT
ajote-8309	55	35	,	,	PUNCT
ajote-8309	55	36	92	92	NUM
ajote-8309	55	37	-	-	SYM
ajote-8309	55	38	116	116	NUM
ajote-8309	55	39	96	96	NUM
ajote-8309	55	40	important	important	ADJ
ajote-8309	55	41	.	.	PUNCT
ajote-8309	56	1	following	follow	VERB
ajote-8309	56	2	each	each	DET
ajote-8309	56	3	lesson	lesson	NOUN
ajote-8309	56	4	,	,	PUNCT
ajote-8309	56	5	post	post	ADJ
ajote-8309	56	6	-	-	ADJ
ajote-8309	56	7	lesson	lesson	ADJ
ajote-8309	56	8	interviews	interview	NOUN
ajote-8309	56	9	were	be	AUX
ajote-8309	56	10	conducted	conduct	VERB
ajote-8309	56	11	to	to	PART
ajote-8309	56	12	encourage	encourage	VERB
ajote-8309	56	13	reflection	reflection	NOUN
ajote-8309	56	14	and	and	CCONJ
ajote-8309	56	15	discussion	discussion	NOUN
ajote-8309	56	16	about	about	ADP
ajote-8309	56	17	the	the	DET
ajote-8309	56	18	specific	specific	ADJ
ajote-8309	56	19	teaching	teaching	NOUN
ajote-8309	56	20	tasks	task	NOUN
ajote-8309	56	21	and	and	CCONJ
ajote-8309	56	22	how	how	SCONJ
ajote-8309	56	23	their	their	PRON
ajote-8309	56	24	knowledge	knowledge	NOUN
ajote-8309	56	25	was	be	AUX
ajote-8309	56	26	used	use	VERB
ajote-8309	56	27	in	in	ADP
ajote-8309	56	28	practice	practice	NOUN
ajote-8309	56	29	.	.	PUNCT
ajote-8309	57	1	this	this	DET
ajote-8309	57	2	article	article	NOUN
ajote-8309	57	3	presents	present	VERB
ajote-8309	57	4	data	datum	NOUN
ajote-8309	57	5	from	from	ADP
ajote-8309	57	6	two	two	NUM
ajote-8309	57	7	first	first	ADJ
ajote-8309	57	8	-	-	PUNCT
ajote-8309	57	9	year	year	NOUN
ajote-8309	57	10	pre	pre	ADJ
ajote-8309	57	11	-	-	ADJ
ajote-8309	57	12	service	service	ADJ
ajote-8309	57	13	teachers	teacher	NOUN
ajote-8309	57	14	,	,	PUNCT
ajote-8309	57	15	referred	refer	VERB
ajote-8309	57	16	to	to	ADP
ajote-8309	57	17	by	by	ADP
ajote-8309	57	18	the	the	DET
ajote-8309	57	19	pseudonyms	pseudonym	NOUN
ajote-8309	57	20	denise	denise	PROPN
ajote-8309	57	21	and	and	CCONJ
ajote-8309	57	22	martin	martin	PROPN
ajote-8309	57	23	,	,	PUNCT
ajote-8309	57	24	who	who	PRON
ajote-8309	57	25	participated	participate	VERB
ajote-8309	57	26	in	in	ADP
ajote-8309	57	27	both	both	CCONJ
ajote-8309	57	28	the	the	DET
ajote-8309	57	29	i	i	PRON
ajote-8309	57	30	m	m	PROPN
ajote-8309	57	31	and	and	CCONJ
ajote-8309	57	32	sm	sm	INTJ
ajote-8309	57	33	.	.	PUNCT
ajote-8309	58	1	both	both	PRON
ajote-8309	58	2	were	be	AUX
ajote-8309	58	3	enrolled	enrol	VERB
ajote-8309	58	4	in	in	ADP
ajote-8309	58	5	the	the	DET
ajote-8309	58	6	same	same	ADJ
ajote-8309	58	7	teacher	teacher	NOUN
ajote-8309	58	8	education	education	NOUN
ajote-8309	58	9	programme	programme	NOUN
ajote-8309	58	10	and	and	CCONJ
ajote-8309	58	11	completed	complete	VERB
ajote-8309	58	12	their	their	PRON
ajote-8309	58	13	supervised	supervise	VERB
ajote-8309	58	14	teaching	teaching	NOUN
ajote-8309	58	15	practice	practice	NOUN
ajote-8309	58	16	at	at	ADP
ajote-8309	58	17	two	two	NUM
ajote-8309	58	18	different	different	ADJ
ajote-8309	58	19	primary	primary	ADJ
ajote-8309	58	20	schools	school	NOUN
ajote-8309	58	21	located	locate	VERB
ajote-8309	58	22	in	in	ADP
ajote-8309	58	23	remote	remote	ADJ
ajote-8309	58	24	areas	area	NOUN
ajote-8309	58	25	of	of	ADP
ajote-8309	58	26	malawi	malawi	PROPN
ajote-8309	58	27	.	.	PUNCT
ajote-8309	59	1	these	these	DET
ajote-8309	59	2	participants	participant	NOUN
ajote-8309	59	3	were	be	AUX
ajote-8309	59	4	purposefully	purposefully	ADV
ajote-8309	59	5	selected	select	VERB
ajote-8309	59	6	for	for	ADP
ajote-8309	59	7	in	in	ADP
ajote-8309	59	8	-	-	PUNCT
ajote-8309	59	9	depth	depth	NOUN
ajote-8309	59	10	analysis	analysis	NOUN
ajote-8309	59	11	based	base	VERB
ajote-8309	59	12	on	on	ADP
ajote-8309	59	13	their	their	PRON
ajote-8309	59	14	shared	share	VERB
ajote-8309	59	15	interest	interest	NOUN
ajote-8309	59	16	in	in	ADP
ajote-8309	59	17	teaching	teach	VERB
ajote-8309	59	18	mathematics	mathematic	NOUN
ajote-8309	59	19	after	after	ADP
ajote-8309	59	20	graduation	graduation	NOUN
ajote-8309	59	21	and	and	CCONJ
ajote-8309	59	22	the	the	DET
ajote-8309	59	23	distinct	distinct	ADJ
ajote-8309	59	24	ways	way	NOUN
ajote-8309	59	25	in	in	ADP
ajote-8309	59	26	which	which	PRON
ajote-8309	59	27	they	they	PRON
ajote-8309	59	28	exhibited	exhibit	VERB
ajote-8309	59	29	an	an	DET
ajote-8309	59	30	understanding	understanding	NOUN
ajote-8309	59	31	of	of	ADP
ajote-8309	59	32	the	the	DET
ajote-8309	59	33	knowledge	knowledge	NOUN
ajote-8309	59	34	that	that	PRON
ajote-8309	59	35	mathematics	mathematics	NOUN
ajote-8309	59	36	teachers	teacher	NOUN
ajote-8309	59	37	need	need	VERB
ajote-8309	59	38	to	to	PART
ajote-8309	59	39	effectively	effectively	ADV
ajote-8309	59	40	sequence	sequence	NOUN
ajote-8309	59	41	and	and	CCONJ
ajote-8309	59	42	structure	structure	NOUN
ajote-8309	59	43	students	student	NOUN
ajote-8309	59	44	’	'	PUNCT
ajote-8309	59	45	learning	learning	NOUN
ajote-8309	59	46	.	.	PUNCT
ajote-8309	60	1	their	their	PRON
ajote-8309	60	2	cases	case	NOUN
ajote-8309	60	3	offer	offer	VERB
ajote-8309	60	4	insights	insight	NOUN
ajote-8309	60	5	into	into	ADP
ajote-8309	60	6	how	how	SCONJ
ajote-8309	60	7	variations	variation	NOUN
ajote-8309	60	8	in	in	ADP
ajote-8309	60	9	the	the	DET
ajote-8309	60	10	development	development	NOUN
ajote-8309	60	11	of	of	ADP
ajote-8309	60	12	sck	sck	PROPN
ajote-8309	60	13	can	can	AUX
ajote-8309	60	14	emerge	emerge	VERB
ajote-8309	60	15	even	even	ADV
ajote-8309	60	16	among	among	ADP
ajote-8309	60	17	novice	novice	NOUN
ajote-8309	60	18	teachers	teacher	NOUN
ajote-8309	60	19	in	in	ADP
ajote-8309	60	20	similar	similar	ADJ
ajote-8309	60	21	training	training	NOUN
ajote-8309	60	22	environments	environment	NOUN
ajote-8309	60	23	but	but	CCONJ
ajote-8309	60	24	working	work	VERB
ajote-8309	60	25	in	in	ADP
ajote-8309	60	26	different	different	ADJ
ajote-8309	60	27	school	school	NOUN
ajote-8309	60	28	contexts	contexts	NOUN
ajote-8309	60	29	.	.	PUNCT
ajote-8309	61	1	to	to	PART
ajote-8309	61	2	explore	explore	VERB
ajote-8309	61	3	the	the	DET
ajote-8309	61	4	reasons	reason	NOUN
ajote-8309	61	5	for	for	ADP
ajote-8309	61	6	these	these	DET
ajote-8309	61	7	differences	difference	NOUN
ajote-8309	61	8	,	,	PUNCT
ajote-8309	61	9	we	we	PRON
ajote-8309	61	10	conducted	conduct	VERB
ajote-8309	61	11	a	a	DET
ajote-8309	61	12	qualitative	qualitative	ADJ
ajote-8309	61	13	thematic	thematic	ADJ
ajote-8309	61	14	analysis	analysis	NOUN
ajote-8309	61	15	across	across	ADP
ajote-8309	61	16	the	the	DET
ajote-8309	61	17	cases	case	NOUN
ajote-8309	61	18	.	.	PUNCT
ajote-8309	62	1	this	this	DET
ajote-8309	62	2	method	method	NOUN
ajote-8309	62	3	allowed	allow	VERB
ajote-8309	62	4	us	we	PRON
ajote-8309	62	5	to	to	PART
ajote-8309	62	6	“	"	PUNCT
ajote-8309	62	7	explore	explore	VERB
ajote-8309	62	8	the	the	DET
ajote-8309	62	9	understanding	understanding	NOUN
ajote-8309	62	10	of	of	ADP
ajote-8309	62	11	an	an	DET
ajote-8309	62	12	issue	issue	NOUN
ajote-8309	62	13	or	or	CCONJ
ajote-8309	62	14	the	the	DET
ajote-8309	62	15	signification	signification	NOUN
ajote-8309	62	16	of	of	ADP
ajote-8309	62	17	an	an	DET
ajote-8309	62	18	idea	idea	NOUN
ajote-8309	62	19	”	"	PUNCT
ajote-8309	62	20	(	(	PUNCT
ajote-8309	62	21	attride	attride	NOUN
ajote-8309	62	22	-	-	PUNCT
ajote-8309	62	23	stirling	stirling	NOUN
ajote-8309	62	24	,	,	PUNCT
ajote-8309	62	25	2001	2001	NUM
ajote-8309	62	26	,	,	PUNCT
ajote-8309	62	27	p.	p.	NOUN
ajote-8309	62	28	387	387	NUM
ajote-8309	62	29	)	)	PUNCT
ajote-8309	62	30	.	.	PUNCT
ajote-8309	63	1	following	follow	VERB
ajote-8309	63	2	braun	braun	NOUN
ajote-8309	63	3	and	and	CCONJ
ajote-8309	63	4	clarke	clarke	PROPN
ajote-8309	63	5	(	(	PUNCT
ajote-8309	63	6	2012	2012	NUM
ajote-8309	63	7	)	)	PUNCT
ajote-8309	63	8	,	,	PUNCT
ajote-8309	63	9	we	we	PRON
ajote-8309	63	10	used	use	VERB
ajote-8309	63	11	an	an	DET
ajote-8309	63	12	inductive	inductive	ADJ
ajote-8309	63	13	coding	code	VERB
ajote-8309	63	14	approach	approach	NOUN
ajote-8309	63	15	,	,	PUNCT
ajote-8309	63	16	allowing	allow	VERB
ajote-8309	63	17	themes	theme	NOUN
ajote-8309	63	18	to	to	PART
ajote-8309	63	19	emerge	emerge	VERB
ajote-8309	63	20	from	from	ADP
ajote-8309	63	21	the	the	DET
ajote-8309	63	22	data	datum	NOUN
ajote-8309	63	23	rather	rather	ADV
ajote-8309	63	24	than	than	ADP
ajote-8309	63	25	being	be	AUX
ajote-8309	63	26	guided	guide	VERB
ajote-8309	63	27	by	by	ADP
ajote-8309	63	28	pre	pre	ADJ
ajote-8309	63	29	-	-	ADJ
ajote-8309	63	30	existing	existing	ADJ
ajote-8309	63	31	categories	category	NOUN
ajote-8309	63	32	.	.	PUNCT
ajote-8309	64	1	the	the	DET
ajote-8309	64	2	coding	coding	NOUN
ajote-8309	64	3	and	and	CCONJ
ajote-8309	64	4	analysis	analysis	NOUN
ajote-8309	64	5	processes	process	NOUN
ajote-8309	64	6	were	be	AUX
ajote-8309	64	7	developed	develop	VERB
ajote-8309	64	8	collaboratively	collaboratively	ADV
ajote-8309	64	9	,	,	PUNCT
ajote-8309	64	10	ensuring	ensure	VERB
ajote-8309	64	11	shared	share	VERB
ajote-8309	64	12	interpretations	interpretation	NOUN
ajote-8309	64	13	and	and	CCONJ
ajote-8309	64	14	deeper	deep	ADJ
ajote-8309	64	15	engagement	engagement	NOUN
ajote-8309	64	16	with	with	ADP
ajote-8309	64	17	the	the	DET
ajote-8309	64	18	data	datum	NOUN
ajote-8309	64	19	.	.	PUNCT
ajote-8309	65	1	thematic	thematic	ADJ
ajote-8309	65	2	analysis	analysis	NOUN
ajote-8309	65	3	helped	help	VERB
ajote-8309	65	4	us	we	PRON
ajote-8309	65	5	categorize	categorize	VERB
ajote-8309	65	6	surface	surface	NOUN
ajote-8309	65	7	-	-	PUNCT
ajote-8309	65	8	level	level	NOUN
ajote-8309	65	9	data	datum	NOUN
ajote-8309	65	10	to	to	PART
ajote-8309	65	11	uncover	uncover	VERB
ajote-8309	65	12	meaning	mean	VERB
ajote-8309	65	13	patterns	pattern	NOUN
ajote-8309	65	14	and	and	CCONJ
ajote-8309	65	15	represent	represent	VERB
ajote-8309	65	16	participants	participant	NOUN
ajote-8309	65	17	’	'	PUNCT
ajote-8309	65	18	experiences	experience	NOUN
ajote-8309	65	19	within	within	ADP
ajote-8309	65	20	their	their	PRON
ajote-8309	65	21	actual	actual	ADJ
ajote-8309	65	22	contexts	contexts	NOUN
ajote-8309	65	23	.	.	PUNCT
ajote-8309	66	1	through	through	ADP
ajote-8309	66	2	this	this	DET
ajote-8309	66	3	process	process	NOUN
ajote-8309	66	4	,	,	PUNCT
ajote-8309	66	5	we	we	PRON
ajote-8309	66	6	generated	generate	VERB
ajote-8309	66	7	two	two	NUM
ajote-8309	66	8	central	central	ADJ
ajote-8309	66	9	themes	theme	NOUN
ajote-8309	66	10	reflecting	reflect	VERB
ajote-8309	66	11	pre	pre	ADJ
ajote-8309	66	12	-	-	ADJ
ajote-8309	66	13	service	service	ADJ
ajote-8309	66	14	teachers	teacher	NOUN
ajote-8309	66	15	’	’	PART
ajote-8309	66	16	understanding	understanding	NOUN
ajote-8309	66	17	of	of	ADP
ajote-8309	66	18	the	the	DET
ajote-8309	66	19	knowledge	knowledge	NOUN
ajote-8309	66	20	needed	need	VERB
ajote-8309	66	21	to	to	ADP
ajote-8309	66	22	sequence	sequence	NOUN
ajote-8309	66	23	and	and	CCONJ
ajote-8309	66	24	structure	structure	NOUN
ajote-8309	66	25	students	student	NOUN
ajote-8309	66	26	’	'	PUNCT
ajote-8309	66	27	learning	learning	NOUN
ajote-8309	66	28	of	of	ADP
ajote-8309	66	29	mathematics	mathematic	NOUN
ajote-8309	66	30	:	:	PUNCT
ajote-8309	66	31	(	(	PUNCT
ajote-8309	66	32	1	1	X
ajote-8309	66	33	)	)	PUNCT
ajote-8309	66	34	knowledge	knowledge	NOUN
ajote-8309	66	35	needed	need	VERB
ajote-8309	66	36	to	to	ADP
ajote-8309	66	37	sequence	sequence	NOUN
ajote-8309	66	38	and	and	CCONJ
ajote-8309	66	39	structure	structure	NOUN
ajote-8309	66	40	students	student	NOUN
ajote-8309	66	41	’	'	PUNCT
ajote-8309	66	42	mathematics	mathematic	NOUN
ajote-8309	66	43	learning	learning	NOUN
ajote-8309	66	44	;	;	PUNCT
ajote-8309	66	45	and	and	CCONJ
ajote-8309	66	46	(	(	PUNCT
ajote-8309	66	47	2	2	X
ajote-8309	66	48	)	)	PUNCT
ajote-8309	66	49	new	new	ADJ
ajote-8309	66	50	forms	form	NOUN
ajote-8309	66	51	of	of	ADP
ajote-8309	66	52	understanding	understanding	NOUN
ajote-8309	66	53	upon	upon	SCONJ
ajote-8309	66	54	reflection	reflection	NOUN
ajote-8309	66	55	on	on	ADP
ajote-8309	66	56	the	the	DET
ajote-8309	66	57	teaching	teaching	NOUN
ajote-8309	66	58	tasks	task	NOUN
ajote-8309	66	59	.	.	PUNCT
ajote-8309	67	1	findings	finding	NOUN
ajote-8309	67	2	and	and	CCONJ
ajote-8309	67	3	discussion	discussion	NOUN
ajote-8309	67	4	this	this	DET
ajote-8309	67	5	section	section	NOUN
ajote-8309	67	6	is	be	AUX
ajote-8309	67	7	organised	organise	VERB
ajote-8309	67	8	into	into	ADP
ajote-8309	67	9	two	two	NUM
ajote-8309	67	10	subsections	subsection	NOUN
ajote-8309	67	11	,	,	PUNCT
ajote-8309	67	12	each	each	PRON
ajote-8309	67	13	addressing	address	VERB
ajote-8309	67	14	one	one	NUM
ajote-8309	67	15	of	of	ADP
ajote-8309	67	16	the	the	DET
ajote-8309	67	17	two	two	NUM
ajote-8309	67	18	themes	theme	NOUN
ajote-8309	67	19	identified	identify	VERB
ajote-8309	67	20	above	above	ADV
ajote-8309	67	21	.	.	PUNCT
ajote-8309	68	1	as	as	SCONJ
ajote-8309	68	2	will	will	AUX
ajote-8309	68	3	be	be	AUX
ajote-8309	68	4	illustrated	illustrate	VERB
ajote-8309	68	5	,	,	PUNCT
ajote-8309	68	6	denise	denise	PROPN
ajote-8309	68	7	and	and	CCONJ
ajote-8309	68	8	martin	martin	PROPN
ajote-8309	68	9	initially	initially	ADV
ajote-8309	68	10	described	describe	VERB
ajote-8309	68	11	the	the	DET
ajote-8309	68	12	knowledge	knowledge	NOUN
ajote-8309	68	13	required	require	VERB
ajote-8309	68	14	to	to	ADP
ajote-8309	68	15	sequence	sequence	NOUN
ajote-8309	68	16	and	and	CCONJ
ajote-8309	68	17	structure	structure	NOUN
ajote-8309	68	18	students	student	NOUN
ajote-8309	68	19	’	'	PUNCT
ajote-8309	68	20	learning	learning	NOUN
ajote-8309	68	21	of	of	ADP
ajote-8309	68	22	mathematics	mathematic	NOUN
ajote-8309	68	23	as	as	ADP
ajote-8309	68	24	a	a	DET
ajote-8309	68	25	general	general	ADJ
ajote-8309	68	26	concept	concept	NOUN
ajote-8309	68	27	derived	derive	VERB
ajote-8309	68	28	primarily	primarily	ADV
ajote-8309	68	29	from	from	ADP
ajote-8309	68	30	school	school	NOUN
ajote-8309	68	31	textbooks	textbook	NOUN
ajote-8309	68	32	and	and	CCONJ
ajote-8309	68	33	teachers	teacher	NOUN
ajote-8309	68	34	’	'	PUNCT
ajote-8309	68	35	guides	guide	NOUN
ajote-8309	68	36	.	.	PUNCT
ajote-8309	69	1	they	they	PRON
ajote-8309	69	2	emphasized	emphasize	VERB
ajote-8309	69	3	the	the	DET
ajote-8309	69	4	importance	importance	NOUN
ajote-8309	69	5	of	of	ADP
ajote-8309	69	6	beginning	begin	VERB
ajote-8309	69	7	with	with	ADP
ajote-8309	69	8	simple	simple	ADJ
ajote-8309	69	9	and	and	CCONJ
ajote-8309	69	10	easy	easy	ADJ
ajote-8309	69	11	-	-	PUNCT
ajote-8309	69	12	to	to	PART
ajote-8309	69	13	-	-	PUNCT
ajote-8309	69	14	understand	understand	VERB
ajote-8309	69	15	activities	activity	NOUN
ajote-8309	69	16	and	and	CCONJ
ajote-8309	69	17	gradually	gradually	ADV
ajote-8309	69	18	progressing	progress	VERB
ajote-8309	69	19	to	to	ADP
ajote-8309	69	20	more	more	ADV
ajote-8309	69	21	complex	complex	ADJ
ajote-8309	69	22	and	and	CCONJ
ajote-8309	69	23	dynamic	dynamic	ADJ
ajote-8309	69	24	tasks	task	NOUN
ajote-8309	69	25	.	.	PUNCT
ajote-8309	70	1	however	however	ADV
ajote-8309	70	2	,	,	PUNCT
ajote-8309	70	3	through	through	ADP
ajote-8309	70	4	reflection	reflection	NOUN
ajote-8309	70	5	on	on	ADP
ajote-8309	70	6	practical	practical	ADJ
ajote-8309	70	7	situations	situation	NOUN
ajote-8309	70	8	—	—	PUNCT
ajote-8309	70	9	where	where	SCONJ
ajote-8309	70	10	they	they	PRON
ajote-8309	70	11	tracing	trace	VERB
ajote-8309	70	12	pre	pre	ADJ
ajote-8309	70	13	-	-	ADJ
ajote-8309	70	14	service	service	ADJ
ajote-8309	70	15	teachers	teacher	NOUN
ajote-8309	70	16	’	’	PART
ajote-8309	70	17	understanding	understanding	NOUN
ajote-8309	70	18	of	of	ADP
ajote-8309	70	19	specialized	specialized	ADJ
ajote-8309	70	20	content	content	NOUN
ajote-8309	70	21	knowledge	knowledge	NOUN
ajote-8309	70	22	for	for	ADP
ajote-8309	70	23	sequencing	sequence	VERB
ajote-8309	70	24	and	and	CCONJ
ajote-8309	70	25	structuring	structure	VERB
ajote-8309	70	26	mathematics	mathematic	NOUN
ajote-8309	70	27	learning	learn	VERB
ajote-8309	70	28	in	in	ADP
ajote-8309	70	29	low	low	ADJ
ajote-8309	70	30	-	-	PUNCT
ajote-8309	70	31	resource	resource	NOUN
ajote-8309	70	32	malawi	malawi	PROPN
ajote-8309	70	33	classrooms	classroom	NOUN
ajote-8309	70	34	ajote	ajote	VERB
ajote-8309	70	35	vol.14	vol.14	NOUN
ajote-8309	70	36	no.2	no.2	PROPN
ajote-8309	70	37	(	(	PUNCT
ajote-8309	70	38	2025	2025	NUM
ajote-8309	70	39	)	)	PUNCT
ajote-8309	70	40	,	,	PUNCT
ajote-8309	70	41	92	92	NUM
ajote-8309	70	42	-	-	SYM
ajote-8309	70	43	116	116	NUM
ajote-8309	70	44	97	97	NUM
ajote-8309	70	45	were	be	AUX
ajote-8309	70	46	required	require	VERB
ajote-8309	70	47	to	to	PART
ajote-8309	70	48	consider	consider	VERB
ajote-8309	70	49	students	student	NOUN
ajote-8309	70	50	’	'	PUNCT
ajote-8309	70	51	thinking	thinking	NOUN
ajote-8309	70	52	and	and	CCONJ
ajote-8309	70	53	capabilities	capability	NOUN
ajote-8309	70	54	—	—	PUNCT
ajote-8309	70	55	this	this	DET
ajote-8309	70	56	understanding	understanding	NOUN
ajote-8309	70	57	began	begin	VERB
ajote-8309	70	58	to	to	PART
ajote-8309	70	59	evolve	evolve	VERB
ajote-8309	70	60	,	,	PUNCT
ajote-8309	70	61	becoming	become	VERB
ajote-8309	70	62	increasingly	increasingly	ADV
ajote-8309	70	63	nuanced	nuanced	ADJ
ajote-8309	70	64	and	and	CCONJ
ajote-8309	70	65	context	context	NOUN
ajote-8309	70	66	-	-	PUNCT
ajote-8309	70	67	sensitive	sensitive	ADJ
ajote-8309	70	68	.	.	PUNCT
ajote-8309	71	1	the	the	DET
ajote-8309	71	2	knowledge	knowledge	NOUN
ajote-8309	71	3	needed	need	VERB
ajote-8309	71	4	to	to	ADP
ajote-8309	71	5	sequence	sequence	NOUN
ajote-8309	71	6	and	and	CCONJ
ajote-8309	71	7	structure	structure	NOUN
ajote-8309	71	8	students	student	NOUN
ajote-8309	71	9	’	'	PUNCT
ajote-8309	71	10	learning	learn	VERB
ajote-8309	71	11	during	during	ADP
ajote-8309	71	12	their	their	PRON
ajote-8309	71	13	initial	initial	ADJ
ajote-8309	71	14	interviews	interview	NOUN
ajote-8309	71	15	,	,	PUNCT
ajote-8309	71	16	denise	denise	PROPN
ajote-8309	71	17	and	and	CCONJ
ajote-8309	71	18	martin	martin	PROPN
ajote-8309	71	19	provided	provide	VERB
ajote-8309	71	20	complementary	complementary	ADJ
ajote-8309	71	21	descriptions	description	NOUN
ajote-8309	71	22	of	of	ADP
ajote-8309	71	23	the	the	DET
ajote-8309	71	24	knowledge	knowledge	NOUN
ajote-8309	71	25	needed	need	VERB
ajote-8309	71	26	to	to	ADP
ajote-8309	71	27	sequence	sequence	NOUN
ajote-8309	71	28	and	and	CCONJ
ajote-8309	71	29	structure	structure	NOUN
ajote-8309	71	30	students	student	NOUN
ajote-8309	71	31	’	'	PUNCT
ajote-8309	71	32	mathematics	mathematic	NOUN
ajote-8309	71	33	learning	learning	NOUN
ajote-8309	71	34	,	,	PUNCT
ajote-8309	71	35	emphasizing	emphasize	VERB
ajote-8309	71	36	the	the	DET
ajote-8309	71	37	teacher	teacher	NOUN
ajote-8309	71	38	’s	’s	PART
ajote-8309	71	39	ability	ability	NOUN
ajote-8309	71	40	to	to	PART
ajote-8309	71	41	organise	organise	VERB
ajote-8309	71	42	and	and	CCONJ
ajote-8309	71	43	introduce	introduce	VERB
ajote-8309	71	44	new	new	ADJ
ajote-8309	71	45	concepts	concept	NOUN
ajote-8309	71	46	gradually	gradually	ADV
ajote-8309	71	47	,	,	PUNCT
ajote-8309	71	48	from	from	ADP
ajote-8309	71	49	simple	simple	ADJ
ajote-8309	71	50	to	to	ADP
ajote-8309	71	51	complex	complex	NOUN
ajote-8309	71	52	.	.	PUNCT
ajote-8309	72	1	the	the	DET
ajote-8309	72	2	case	case	NOUN
ajote-8309	72	3	of	of	ADP
ajote-8309	72	4	denise	denise	PROPN
ajote-8309	72	5	when	when	SCONJ
ajote-8309	72	6	asked	ask	VERB
ajote-8309	72	7	about	about	ADP
ajote-8309	72	8	the	the	DET
ajote-8309	72	9	knowledge	knowledge	NOUN
ajote-8309	72	10	and	and	CCONJ
ajote-8309	72	11	skills	skill	NOUN
ajote-8309	72	12	a	a	DET
ajote-8309	72	13	teacher	teacher	NOUN
ajote-8309	72	14	needs	need	VERB
ajote-8309	72	15	to	to	PART
ajote-8309	72	16	effectively	effectively	ADV
ajote-8309	72	17	organise	organise	VERB
ajote-8309	72	18	and	and	CCONJ
ajote-8309	72	19	conduct	conduct	VERB
ajote-8309	72	20	a	a	DET
ajote-8309	72	21	mathematics	mathematics	NOUN
ajote-8309	72	22	lesson	lesson	NOUN
ajote-8309	72	23	,	,	PUNCT
ajote-8309	72	24	denise	denise	PROPN
ajote-8309	72	25	emphasized	emphasize	VERB
ajote-8309	72	26	the	the	DET
ajote-8309	72	27	importance	importance	NOUN
ajote-8309	72	28	of	of	ADP
ajote-8309	72	29	clear	clear	ADJ
ajote-8309	72	30	and	and	CCONJ
ajote-8309	72	31	accessible	accessible	ADJ
ajote-8309	72	32	instruction	instruction	NOUN
ajote-8309	72	33	.	.	PUNCT
ajote-8309	73	1	she	she	PRON
ajote-8309	73	2	stated	state	VERB
ajote-8309	73	3	,	,	PUNCT
ajote-8309	73	4	“	"	PUNCT
ajote-8309	73	5	the	the	DET
ajote-8309	73	6	ability	ability	NOUN
ajote-8309	73	7	to	to	PART
ajote-8309	73	8	make	make	VERB
ajote-8309	73	9	learners	learner	NOUN
ajote-8309	73	10	understand	understand	VERB
ajote-8309	73	11	the	the	DET
ajote-8309	73	12	content	content	NOUN
ajote-8309	73	13	is	be	AUX
ajote-8309	73	14	one	one	NUM
ajote-8309	73	15	of	of	ADP
ajote-8309	73	16	the	the	DET
ajote-8309	73	17	main	main	ADJ
ajote-8309	73	18	characteristics	characteristic	NOUN
ajote-8309	73	19	of	of	ADP
ajote-8309	73	20	effective	effective	ADJ
ajote-8309	73	21	teaching	teaching	NOUN
ajote-8309	73	22	in	in	ADP
ajote-8309	73	23	mathematics	mathematic	NOUN
ajote-8309	73	24	.	.	PUNCT
ajote-8309	73	25	”	"	PUNCT
ajote-8309	74	1	she	she	PRON
ajote-8309	74	2	elaborated	elaborate	VERB
ajote-8309	74	3	,	,	PUNCT
ajote-8309	74	4	“	"	PUNCT
ajote-8309	74	5	sometimes	sometimes	ADV
ajote-8309	74	6	mathematics	mathematic	NOUN
ajote-8309	74	7	can	can	AUX
ajote-8309	74	8	be	be	AUX
ajote-8309	74	9	very	very	ADV
ajote-8309	74	10	difficult	difficult	ADJ
ajote-8309	74	11	for	for	ADP
ajote-8309	74	12	learners	learner	NOUN
ajote-8309	74	13	,	,	PUNCT
ajote-8309	74	14	so	so	SCONJ
ajote-8309	74	15	a	a	DET
ajote-8309	74	16	good	good	ADJ
ajote-8309	74	17	teacher	teacher	NOUN
ajote-8309	74	18	needs	need	VERB
ajote-8309	74	19	to	to	PART
ajote-8309	74	20	know	know	VERB
ajote-8309	74	21	mathematics	mathematic	NOUN
ajote-8309	74	22	very	very	ADV
ajote-8309	74	23	well	well	ADV
ajote-8309	74	24	to	to	PART
ajote-8309	74	25	show	show	VERB
ajote-8309	74	26	learners	learner	NOUN
ajote-8309	74	27	that	that	SCONJ
ajote-8309	74	28	it	it	PRON
ajote-8309	74	29	is	be	AUX
ajote-8309	74	30	not	not	PART
ajote-8309	74	31	[	[	X
ajote-8309	74	32	difficult	difficult	ADJ
ajote-8309	74	33	]	]	X
ajote-8309	74	34	!	!	PUNCT
ajote-8309	74	35	”	"	PUNCT
ajote-8309	75	1	denise	denise	PROPN
ajote-8309	75	2	also	also	ADV
ajote-8309	75	3	highlighted	highlight	VERB
ajote-8309	75	4	the	the	DET
ajote-8309	75	5	value	value	NOUN
ajote-8309	75	6	of	of	ADP
ajote-8309	75	7	textbooks	textbook	NOUN
ajote-8309	75	8	in	in	ADP
ajote-8309	75	9	lesson	lesson	NOUN
ajote-8309	75	10	planning	planning	NOUN
ajote-8309	75	11	:	:	PUNCT
ajote-8309	75	12	“	"	PUNCT
ajote-8309	75	13	the	the	DET
ajote-8309	75	14	textbook	textbook	NOUN
ajote-8309	75	15	is	be	AUX
ajote-8309	75	16	very	very	ADV
ajote-8309	75	17	important	important	ADJ
ajote-8309	75	18	for	for	ADP
ajote-8309	75	19	the	the	DET
ajote-8309	75	20	teacher	teacher	NOUN
ajote-8309	75	21	because	because	SCONJ
ajote-8309	75	22	it	it	PRON
ajote-8309	75	23	already	already	ADV
ajote-8309	75	24	shows	show	VERB
ajote-8309	75	25	you	you	PRON
ajote-8309	75	26	how	how	SCONJ
ajote-8309	75	27	the	the	DET
ajote-8309	75	28	lesson	lesson	NOUN
ajote-8309	75	29	should	should	AUX
ajote-8309	75	30	be	be	AUX
ajote-8309	75	31	conducted	conduct	VERB
ajote-8309	75	32	.	.	PUNCT
ajote-8309	76	1	[	[	X
ajote-8309	76	2	…	…	X
ajote-8309	76	3	]	]	X
ajote-8309	76	4	in	in	ADP
ajote-8309	76	5	malawi	malawi	PROPN
ajote-8309	76	6	,	,	PUNCT
ajote-8309	76	7	the	the	DET
ajote-8309	76	8	teacher	teacher	NOUN
ajote-8309	76	9	usually	usually	ADV
ajote-8309	76	10	starts	start	VERB
ajote-8309	76	11	revising	revise	VERB
ajote-8309	76	12	what	what	PRON
ajote-8309	76	13	the	the	DET
ajote-8309	76	14	students	student	NOUN
ajote-8309	76	15	have	have	AUX
ajote-8309	76	16	learnt	learn	VERB
ajote-8309	76	17	from	from	ADP
ajote-8309	76	18	a	a	DET
ajote-8309	76	19	previous	previous	ADJ
ajote-8309	76	20	lesson	lesson	NOUN
ajote-8309	76	21	and	and	CCONJ
ajote-8309	76	22	connects	connect	VERB
ajote-8309	76	23	to	to	ADP
ajote-8309	76	24	it	it	PRON
ajote-8309	76	25	.	.	PUNCT
ajote-8309	76	26	”	"	PUNCT
ajote-8309	77	1	she	she	PRON
ajote-8309	77	2	further	far	ADV
ajote-8309	77	3	explained	explain	VERB
ajote-8309	77	4	,	,	PUNCT
ajote-8309	77	5	“	"	PUNCT
ajote-8309	77	6	i	i	PRON
ajote-8309	77	7	think	think	VERB
ajote-8309	77	8	this	this	PRON
ajote-8309	77	9	is	be	AUX
ajote-8309	77	10	a	a	DET
ajote-8309	77	11	very	very	ADV
ajote-8309	77	12	good	good	ADJ
ajote-8309	77	13	strategy	strategy	NOUN
ajote-8309	77	14	for	for	ADP
ajote-8309	77	15	teaching	teach	VERB
ajote-8309	77	16	mathematics	mathematic	NOUN
ajote-8309	77	17	.	.	PUNCT
ajote-8309	78	1	the	the	DET
ajote-8309	78	2	teacher	teacher	NOUN
ajote-8309	78	3	needs	need	VERB
ajote-8309	78	4	to	to	PART
ajote-8309	78	5	teach	teach	VERB
ajote-8309	78	6	from	from	ADP
ajote-8309	78	7	simple	simple	ADJ
ajote-8309	78	8	to	to	ADP
ajote-8309	78	9	complex	complex	ADJ
ajote-8309	78	10	,	,	PUNCT
ajote-8309	78	11	so	so	SCONJ
ajote-8309	78	12	everyone	everyone	PRON
ajote-8309	78	13	[	[	X
ajote-8309	78	14	students	student	NOUN
ajote-8309	78	15	]	]	PUNCT
ajote-8309	78	16	can	can	AUX
ajote-8309	78	17	learn	learn	VERB
ajote-8309	78	18	and	and	CCONJ
ajote-8309	78	19	use	use	VERB
ajote-8309	78	20	it	it	PRON
ajote-8309	78	21	[	[	X
ajote-8309	78	22	this	this	DET
ajote-8309	78	23	knowledge	knowledge	NOUN
ajote-8309	78	24	]	]	PUNCT
ajote-8309	78	25	!	!	PUNCT
ajote-8309	78	26	”	"	PUNCT
ajote-8309	79	1	when	when	SCONJ
ajote-8309	79	2	asked	ask	VERB
ajote-8309	79	3	to	to	PART
ajote-8309	79	4	elaborate	elaborate	VERB
ajote-8309	79	5	,	,	PUNCT
ajote-8309	79	6	denise	denise	PROPN
ajote-8309	79	7	added	add	VERB
ajote-8309	79	8	,	,	PUNCT
ajote-8309	79	9	“	"	PUNCT
ajote-8309	79	10	teachers	teacher	NOUN
ajote-8309	79	11	can	can	AUX
ajote-8309	79	12	help	help	VERB
ajote-8309	79	13	them	they	PRON
ajote-8309	79	14	[	[	X
ajote-8309	79	15	the	the	DET
ajote-8309	79	16	learners	learner	NOUN
ajote-8309	79	17	]	]	PUNCT
ajote-8309	79	18	by	by	ADP
ajote-8309	79	19	giving	give	VERB
ajote-8309	79	20	another	another	DET
ajote-8309	79	21	view	view	NOUN
ajote-8309	79	22	,	,	PUNCT
ajote-8309	79	23	so	so	SCONJ
ajote-8309	79	24	they	they	PRON
ajote-8309	79	25	can	can	AUX
ajote-8309	79	26	learn	learn	VERB
ajote-8309	79	27	mathematics	mathematics	NOUN
ajote-8309	79	28	step	step	VERB
ajote-8309	79	29	-	-	PUNCT
ajote-8309	79	30	by	by	ADP
ajote-8309	79	31	-	-	PUNCT
ajote-8309	79	32	step	step	NOUN
ajote-8309	79	33	.	.	PUNCT
ajote-8309	79	34	”	"	PUNCT
ajote-8309	80	1	in	in	ADP
ajote-8309	80	2	articulating	articulate	VERB
ajote-8309	80	3	these	these	DET
ajote-8309	80	4	views	view	NOUN
ajote-8309	80	5	,	,	PUNCT
ajote-8309	80	6	denise	denise	PROPN
ajote-8309	80	7	demonstrated	demonstrate	VERB
ajote-8309	80	8	an	an	DET
ajote-8309	80	9	emerging	emerge	VERB
ajote-8309	80	10	awareness	awareness	NOUN
ajote-8309	80	11	of	of	ADP
ajote-8309	80	12	the	the	DET
ajote-8309	80	13	importance	importance	NOUN
ajote-8309	80	14	of	of	ADP
ajote-8309	80	15	making	make	VERB
ajote-8309	80	16	connections	connection	NOUN
ajote-8309	80	17	across	across	ADP
ajote-8309	80	18	different	different	ADJ
ajote-8309	80	19	aspects	aspect	NOUN
ajote-8309	80	20	of	of	ADP
ajote-8309	80	21	the	the	DET
ajote-8309	80	22	curriculum	curriculum	NOUN
ajote-8309	80	23	.	.	PUNCT
ajote-8309	81	1	in	in	ADP
ajote-8309	81	2	her	her	PRON
ajote-8309	81	3	view	view	NOUN
ajote-8309	81	4	,	,	PUNCT
ajote-8309	81	5	teachers	teacher	NOUN
ajote-8309	81	6	need	need	VERB
ajote-8309	81	7	a	a	DET
ajote-8309	81	8	thorough	thorough	ADJ
ajote-8309	81	9	understanding	understanding	NOUN
ajote-8309	81	10	of	of	ADP
ajote-8309	81	11	the	the	DET
ajote-8309	81	12	mathematics	mathematics	NOUN
ajote-8309	81	13	textbook	textbook	NOUN
ajote-8309	81	14	for	for	ADP
ajote-8309	81	15	each	each	DET
ajote-8309	81	16	grade	grade	NOUN
ajote-8309	81	17	level	level	NOUN
ajote-8309	81	18	,	,	PUNCT
ajote-8309	81	19	as	as	ADV
ajote-8309	81	20	well	well	ADV
ajote-8309	81	21	as	as	ADP
ajote-8309	81	22	the	the	DET
ajote-8309	81	23	ability	ability	NOUN
ajote-8309	81	24	to	to	PART
ajote-8309	81	25	apply	apply	VERB
ajote-8309	81	26	strategies	strategy	NOUN
ajote-8309	81	27	that	that	PRON
ajote-8309	81	28	make	make	VERB
ajote-8309	81	29	mathematical	mathematical	ADJ
ajote-8309	81	30	content	content	NOUN
ajote-8309	81	31	more	more	ADV
ajote-8309	81	32	accessible	accessible	ADJ
ajote-8309	81	33	to	to	ADP
ajote-8309	81	34	students	student	NOUN
ajote-8309	81	35	.	.	PUNCT
ajote-8309	82	1	she	she	PRON
ajote-8309	82	2	also	also	ADV
ajote-8309	82	3	emphasized	emphasize	VERB
ajote-8309	82	4	that	that	SCONJ
ajote-8309	82	5	when	when	SCONJ
ajote-8309	82	6	planning	planning	NOUN
ajote-8309	82	7	and	and	CCONJ
ajote-8309	82	8	delivering	deliver	VERB
ajote-8309	82	9	lessons	lesson	NOUN
ajote-8309	82	10	,	,	PUNCT
ajote-8309	82	11	teachers	teacher	NOUN
ajote-8309	82	12	should	should	AUX
ajote-8309	82	13	consider	consider	VERB
ajote-8309	82	14	how	how	SCONJ
ajote-8309	82	15	the	the	DET
ajote-8309	82	16	content	content	NOUN
ajote-8309	82	17	of	of	ADP
ajote-8309	82	18	previous	previous	ADJ
ajote-8309	82	19	lessons	lesson	NOUN
ajote-8309	82	20	links	link	NOUN
ajote-8309	82	21	to	to	ADP
ajote-8309	82	22	the	the	DET
ajote-8309	82	23	goals	goal	NOUN
ajote-8309	82	24	and	and	CCONJ
ajote-8309	82	25	materials	material	NOUN
ajote-8309	82	26	of	of	ADP
ajote-8309	82	27	the	the	DET
ajote-8309	82	28	current	current	ADJ
ajote-8309	82	29	instruction	instruction	NOUN
ajote-8309	82	30	.	.	PUNCT
ajote-8309	83	1	these	these	DET
ajote-8309	83	2	findings	finding	NOUN
ajote-8309	83	3	align	align	VERB
ajote-8309	83	4	with	with	ADP
ajote-8309	83	5	other	other	ADJ
ajote-8309	83	6	research	research	NOUN
ajote-8309	83	7	,	,	PUNCT
ajote-8309	83	8	suggesting	suggest	VERB
ajote-8309	83	9	that	that	SCONJ
ajote-8309	83	10	at	at	ADP
ajote-8309	83	11	the	the	DET
ajote-8309	83	12	beginning	beginning	NOUN
ajote-8309	83	13	of	of	ADP
ajote-8309	83	14	teacher	teacher	NOUN
ajote-8309	83	15	education	education	NOUN
ajote-8309	83	16	,	,	PUNCT
ajote-8309	83	17	pre	pre	ADJ
ajote-8309	83	18	-	-	ADJ
ajote-8309	83	19	service	service	ADJ
ajote-8309	83	20	teachers	teacher	NOUN
ajote-8309	83	21	’	'	PUNCT
ajote-8309	83	22	approaches	approach	NOUN
ajote-8309	83	23	to	to	PART
ajote-8309	83	24	lesson	lesson	NOUN
ajote-8309	83	25	organisation	organisation	NOUN
ajote-8309	83	26	tend	tend	VERB
ajote-8309	83	27	closely	closely	ADV
ajote-8309	83	28	to	to	PART
ajote-8309	83	29	follow	follow	VERB
ajote-8309	83	30	curriculum	curriculum	NOUN
ajote-8309	83	31	guidelines	guideline	NOUN
ajote-8309	83	32	(	(	PUNCT
ajote-8309	83	33	charalambos	charalambo	NOUN
ajote-8309	83	34	,	,	PUNCT
ajote-8309	83	35	2016	2016	NUM
ajote-8309	83	36	;	;	PUNCT
ajote-8309	83	37	sjöberg	sjöberg	PROPN
ajote-8309	83	38	,	,	PUNCT
ajote-8309	83	39	2018	2018	NUM
ajote-8309	83	40	)	)	PUNCT
ajote-8309	83	41	.	.	PUNCT
ajote-8309	84	1	similarly	similarly	ADV
ajote-8309	84	2	,	,	PUNCT
ajote-8309	84	3	çelik	çelik	PROPN
ajote-8309	84	4	and	and	CCONJ
ajote-8309	84	5	güzel	güzel	PROPN
ajote-8309	84	6	(	(	PUNCT
ajote-8309	84	7	2017	2017	NUM
ajote-8309	84	8	)	)	PUNCT
ajote-8309	84	9	found	find	VERB
ajote-8309	84	10	that	that	SCONJ
ajote-8309	84	11	pre	pre	ADJ
ajote-8309	84	12	-	-	ADJ
ajote-8309	84	13	service	service	ADJ
ajote-8309	84	14	teachers	teacher	NOUN
ajote-8309	84	15	frequently	frequently	ADV
ajote-8309	84	16	associated	associate	VERB
ajote-8309	84	17	knowledge	knowledge	NOUN
ajote-8309	84	18	of	of	ADP
ajote-8309	84	19	students	student	NOUN
ajote-8309	84	20	’	'	PUNCT
ajote-8309	84	21	thinking	think	VERB
ajote-8309	84	22	with	with	ADP
ajote-8309	84	23	an	an	DET
ajote-8309	84	24	everton	everton	PROPN
ajote-8309	84	25	jacinto	jacinto	PROPN
ajote-8309	84	26	,	,	PUNCT
ajote-8309	84	27	arne	arne	ADJ
ajote-8309	84	28	jakobsen	jakobsen	NOUN
ajote-8309	84	29	,	,	PUNCT
ajote-8309	84	30	raymond	raymond	PROPN
ajote-8309	84	31	bjuland	bjuland	PROPN
ajote-8309	84	32	ajote	ajote	PROPN
ajote-8309	84	33	vol.14	vol.14	NOUN
ajote-8309	84	34	no.2	no.2	PROPN
ajote-8309	84	35	(	(	PUNCT
ajote-8309	84	36	2025	2025	NUM
ajote-8309	84	37	)	)	PUNCT
ajote-8309	84	38	,	,	PUNCT
ajote-8309	84	39	92	92	NUM
ajote-8309	84	40	-	-	SYM
ajote-8309	84	41	116	116	NUM
ajote-8309	84	42	98	98	NUM
ajote-8309	84	43	awareness	awareness	NOUN
ajote-8309	84	44	of	of	ADP
ajote-8309	84	45	what	what	PRON
ajote-8309	84	46	students	student	NOUN
ajote-8309	84	47	had	have	AUX
ajote-8309	84	48	learned	learn	VERB
ajote-8309	84	49	in	in	ADP
ajote-8309	84	50	prior	prior	ADJ
ajote-8309	84	51	lessons	lesson	NOUN
ajote-8309	84	52	.	.	PUNCT
ajote-8309	85	1	for	for	ADP
ajote-8309	85	2	denise	denise	PROPN
ajote-8309	85	3	,	,	PUNCT
ajote-8309	85	4	the	the	DET
ajote-8309	85	5	progression	progression	NOUN
ajote-8309	85	6	outlined	outline	VERB
ajote-8309	85	7	in	in	ADP
ajote-8309	85	8	school	school	NOUN
ajote-8309	85	9	textbooks	textbook	NOUN
ajote-8309	85	10	served	serve	VERB
ajote-8309	85	11	as	as	ADP
ajote-8309	85	12	her	her	PRON
ajote-8309	85	13	primary	primary	ADJ
ajote-8309	85	14	reference	reference	NOUN
ajote-8309	85	15	for	for	ADP
ajote-8309	85	16	designing	design	VERB
ajote-8309	85	17	sequences	sequence	NOUN
ajote-8309	85	18	of	of	ADP
ajote-8309	85	19	mathematics	mathematic	NOUN
ajote-8309	85	20	activities	activity	NOUN
ajote-8309	85	21	,	,	PUNCT
ajote-8309	85	22	a	a	DET
ajote-8309	85	23	view	view	NOUN
ajote-8309	85	24	also	also	ADV
ajote-8309	85	25	observed	observe	VERB
ajote-8309	85	26	among	among	ADP
ajote-8309	85	27	participants	participant	NOUN
ajote-8309	85	28	in	in	ADP
ajote-8309	85	29	simon	simon	PROPN
ajote-8309	85	30	’s	’s	PART
ajote-8309	85	31	(	(	PUNCT
ajote-8309	85	32	2016	2016	NUM
ajote-8309	85	33	)	)	PUNCT
ajote-8309	85	34	study	study	NOUN
ajote-8309	85	35	.	.	PUNCT
ajote-8309	86	1	the	the	DET
ajote-8309	86	2	case	case	NOUN
ajote-8309	86	3	of	of	ADP
ajote-8309	86	4	martin	martin	PROPN
ajote-8309	86	5	in	in	ADP
ajote-8309	86	6	response	response	NOUN
ajote-8309	86	7	to	to	ADP
ajote-8309	86	8	a	a	DET
ajote-8309	86	9	similar	similar	ADJ
ajote-8309	86	10	question	question	NOUN
ajote-8309	86	11	to	to	ADP
ajote-8309	86	12	the	the	DET
ajote-8309	86	13	one	one	NOUN
ajote-8309	86	14	posed	pose	VERB
ajote-8309	86	15	to	to	ADP
ajote-8309	86	16	denise	denise	PROPN
ajote-8309	86	17	,	,	PUNCT
ajote-8309	86	18	martin	martin	PROPN
ajote-8309	86	19	offered	offer	VERB
ajote-8309	86	20	a	a	DET
ajote-8309	86	21	complementary	complementary	ADJ
ajote-8309	86	22	perspective	perspective	NOUN
ajote-8309	86	23	,	,	PUNCT
ajote-8309	86	24	emphasizing	emphasize	VERB
ajote-8309	86	25	the	the	DET
ajote-8309	86	26	importance	importance	NOUN
ajote-8309	86	27	of	of	ADP
ajote-8309	86	28	a	a	DET
ajote-8309	86	29	progressive	progressive	ADJ
ajote-8309	86	30	sequence	sequence	NOUN
ajote-8309	86	31	of	of	ADP
ajote-8309	86	32	activities	activity	NOUN
ajote-8309	86	33	aligned	align	VERB
ajote-8309	86	34	with	with	ADP
ajote-8309	86	35	the	the	DET
ajote-8309	86	36	curriculum	curriculum	NOUN
ajote-8309	86	37	.	.	PUNCT
ajote-8309	87	1	he	he	PRON
ajote-8309	87	2	argued	argue	VERB
ajote-8309	87	3	that	that	SCONJ
ajote-8309	87	4	“	"	PUNCT
ajote-8309	87	5	good	good	ADJ
ajote-8309	87	6	teachers	teacher	NOUN
ajote-8309	87	7	should	should	AUX
ajote-8309	87	8	know	know	VERB
ajote-8309	87	9	how	how	SCONJ
ajote-8309	87	10	to	to	PART
ajote-8309	87	11	design	design	VERB
ajote-8309	87	12	a	a	DET
ajote-8309	87	13	lesson	lesson	NOUN
ajote-8309	87	14	logically	logically	ADV
ajote-8309	87	15	,	,	PUNCT
ajote-8309	87	16	from	from	ADP
ajote-8309	87	17	simple	simple	ADJ
ajote-8309	87	18	to	to	ADP
ajote-8309	87	19	complex	complex	ADJ
ajote-8309	87	20	,	,	PUNCT
ajote-8309	87	21	as	as	SCONJ
ajote-8309	87	22	is	be	AUX
ajote-8309	87	23	done	do	VERB
ajote-8309	87	24	in	in	ADP
ajote-8309	87	25	the	the	DET
ajote-8309	87	26	textbook	textbook	NOUN
ajote-8309	87	27	.	.	PUNCT
ajote-8309	87	28	”	"	PUNCT
ajote-8309	88	1	martin	martin	PROPN
ajote-8309	88	2	expanded	expand	VERB
ajote-8309	88	3	on	on	ADP
ajote-8309	88	4	this	this	DET
ajote-8309	88	5	point	point	NOUN
ajote-8309	88	6	by	by	ADP
ajote-8309	88	7	referencing	reference	VERB
ajote-8309	88	8	both	both	PRON
ajote-8309	88	9	student	student	NOUN
ajote-8309	88	10	learning	learning	NOUN
ajote-8309	88	11	and	and	CCONJ
ajote-8309	88	12	curriculum	curriculum	NOUN
ajote-8309	88	13	structure	structure	NOUN
ajote-8309	88	14	:	:	PUNCT
ajote-8309	88	15	“	"	PUNCT
ajote-8309	88	16	when	when	SCONJ
ajote-8309	88	17	you	you	PRON
ajote-8309	88	18	think	think	VERB
ajote-8309	88	19	about	about	ADP
ajote-8309	88	20	mathematics	mathematic	NOUN
ajote-8309	88	21	,	,	PUNCT
ajote-8309	88	22	teaching	teaching	NOUN
ajote-8309	88	23	is	be	AUX
ajote-8309	88	24	about	about	ADP
ajote-8309	88	25	helping	help	VERB
ajote-8309	88	26	learners	learner	NOUN
ajote-8309	88	27	to	to	PART
ajote-8309	88	28	progress	progress	VERB
ajote-8309	88	29	from	from	ADP
ajote-8309	88	30	known	know	VERB
ajote-8309	88	31	to	to	ADP
ajote-8309	88	32	unknown	unknown	ADJ
ajote-8309	88	33	,	,	PUNCT
ajote-8309	88	34	from	from	ADP
ajote-8309	88	35	simple	simple	ADJ
ajote-8309	88	36	to	to	ADP
ajote-8309	88	37	complex	complex	ADJ
ajote-8309	88	38	,	,	PUNCT
ajote-8309	88	39	”	"	PUNCT
ajote-8309	88	40	he	he	PRON
ajote-8309	88	41	explained	explain	VERB
ajote-8309	88	42	.	.	PUNCT
ajote-8309	89	1	he	he	PRON
ajote-8309	89	2	also	also	ADV
ajote-8309	89	3	referred	refer	VERB
ajote-8309	89	4	to	to	ADP
ajote-8309	89	5	the	the	DET
ajote-8309	89	6	guidance	guidance	NOUN
ajote-8309	89	7	provided	provide	VERB
ajote-8309	89	8	by	by	ADP
ajote-8309	89	9	official	official	ADJ
ajote-8309	89	10	documents	document	NOUN
ajote-8309	89	11	:	:	PUNCT
ajote-8309	89	12	“	"	PUNCT
ajote-8309	89	13	the	the	DET
ajote-8309	89	14	[	[	X
ajote-8309	89	15	primary	primary	ADJ
ajote-8309	89	16	school	school	NOUN
ajote-8309	89	17	]	]	PUNCT
ajote-8309	89	18	curriculum	curriculum	NOUN
ajote-8309	89	19	already	already	ADV
ajote-8309	89	20	identifies	identify	VERB
ajote-8309	89	21	the	the	DET
ajote-8309	89	22	simple	simple	ADJ
ajote-8309	89	23	concepts	concept	NOUN
ajote-8309	89	24	that	that	SCONJ
ajote-8309	89	25	they	they	PRON
ajote-8309	89	26	need	need	VERB
ajote-8309	89	27	to	to	PART
ajote-8309	89	28	learn	learn	VERB
ajote-8309	89	29	to	to	PART
ajote-8309	89	30	understand	understand	VERB
ajote-8309	89	31	the	the	DET
ajote-8309	89	32	more	more	ADV
ajote-8309	89	33	complex	complex	ADJ
ajote-8309	89	34	ones	one	NOUN
ajote-8309	89	35	,	,	PUNCT
ajote-8309	89	36	so	so	SCONJ
ajote-8309	89	37	the	the	DET
ajote-8309	89	38	teacher	teacher	NOUN
ajote-8309	89	39	does	do	AUX
ajote-8309	89	40	not	not	PART
ajote-8309	89	41	need	need	VERB
ajote-8309	89	42	to	to	PART
ajote-8309	89	43	do	do	VERB
ajote-8309	89	44	much	much	ADJ
ajote-8309	89	45	about	about	ADP
ajote-8309	89	46	it	it	PRON
ajote-8309	89	47	.	.	PUNCT
ajote-8309	89	48	”	"	PUNCT
ajote-8309	90	1	martin	martin	PROPN
ajote-8309	90	2	’s	’s	PART
ajote-8309	90	3	ideas	idea	NOUN
ajote-8309	90	4	became	become	VERB
ajote-8309	90	5	clearer	clear	ADJ
ajote-8309	90	6	during	during	ADP
ajote-8309	90	7	practical	practical	ADJ
ajote-8309	90	8	reflection	reflection	NOUN
ajote-8309	90	9	.	.	PUNCT
ajote-8309	91	1	when	when	SCONJ
ajote-8309	91	2	asked	ask	VERB
ajote-8309	91	3	what	what	PRON
ajote-8309	91	4	teachers	teacher	NOUN
ajote-8309	91	5	need	need	VERB
ajote-8309	91	6	to	to	PART
ajote-8309	91	7	know	know	VERB
ajote-8309	91	8	in	in	ADP
ajote-8309	91	9	order	order	NOUN
ajote-8309	91	10	to	to	PART
ajote-8309	91	11	organise	organise	VERB
ajote-8309	91	12	their	their	PRON
ajote-8309	91	13	mathematics	mathematics	NOUN
ajote-8309	91	14	instruction	instruction	NOUN
ajote-8309	91	15	effectively	effectively	ADV
ajote-8309	91	16	,	,	PUNCT
ajote-8309	91	17	he	he	PRON
ajote-8309	91	18	responded	respond	VERB
ajote-8309	91	19	as	as	SCONJ
ajote-8309	91	20	follows	follow	VERB
ajote-8309	91	21	:	:	PUNCT
ajote-8309	91	22	if	if	SCONJ
ajote-8309	91	23	the	the	DET
ajote-8309	91	24	teacher	teacher	NOUN
ajote-8309	91	25	has	have	AUX
ajote-8309	91	26	recently	recently	ADV
ajote-8309	91	27	graduated	graduate	VERB
ajote-8309	91	28	,	,	PUNCT
ajote-8309	91	29	he	he	PRON
ajote-8309	91	30	or	or	CCONJ
ajote-8309	91	31	she	she	PRON
ajote-8309	91	32	will	will	AUX
ajote-8309	91	33	probably	probably	ADV
ajote-8309	91	34	use	use	VERB
ajote-8309	91	35	the	the	DET
ajote-8309	91	36	textbook	textbook	NOUN
ajote-8309	91	37	.	.	PUNCT
ajote-8309	92	1	but	but	CCONJ
ajote-8309	92	2	an	an	DET
ajote-8309	92	3	experienced	experienced	ADJ
ajote-8309	92	4	teacher	teacher	NOUN
ajote-8309	92	5	will	will	AUX
ajote-8309	92	6	probably	probably	ADV
ajote-8309	92	7	know	know	VERB
ajote-8309	92	8	the	the	DET
ajote-8309	92	9	content	content	NOUN
ajote-8309	92	10	very	very	ADV
ajote-8309	92	11	well	well	ADV
ajote-8309	92	12	and	and	CCONJ
ajote-8309	92	13	will	will	AUX
ajote-8309	92	14	have	have	VERB
ajote-8309	92	15	lots	lot	NOUN
ajote-8309	92	16	of	of	ADP
ajote-8309	92	17	strategies	strategy	NOUN
ajote-8309	92	18	to	to	PART
ajote-8309	92	19	teach	teach	VERB
ajote-8309	92	20	it	it	PRON
ajote-8309	92	21	.	.	PUNCT
ajote-8309	93	1	students	student	NOUN
ajote-8309	93	2	appreciate	appreciate	VERB
ajote-8309	93	3	when	when	SCONJ
ajote-8309	93	4	teachers	teacher	NOUN
ajote-8309	93	5	use	use	VERB
ajote-8309	93	6	different	different	ADJ
ajote-8309	93	7	methods	method	NOUN
ajote-8309	93	8	and	and	CCONJ
ajote-8309	93	9	resources	resource	NOUN
ajote-8309	93	10	,	,	PUNCT
ajote-8309	93	11	like	like	ADP
ajote-8309	93	12	stones	stone	NOUN
ajote-8309	93	13	and	and	CCONJ
ajote-8309	93	14	sticks	stick	NOUN
ajote-8309	93	15	,	,	PUNCT
ajote-8309	93	16	to	to	PART
ajote-8309	93	17	teach	teach	VERB
ajote-8309	93	18	multiplication	multiplication	NOUN
ajote-8309	93	19	.	.	PUNCT
ajote-8309	94	1	the	the	DET
ajote-8309	94	2	textbook	textbook	NOUN
ajote-8309	94	3	suggests	suggest	VERB
ajote-8309	94	4	such	such	ADJ
ajote-8309	94	5	approaches	approach	NOUN
ajote-8309	94	6	,	,	PUNCT
ajote-8309	94	7	but	but	CCONJ
ajote-8309	94	8	teachers	teacher	NOUN
ajote-8309	94	9	can	can	AUX
ajote-8309	94	10	,	,	PUNCT
ajote-8309	94	11	of	of	ADP
ajote-8309	94	12	course	course	NOUN
ajote-8309	94	13	,	,	PUNCT
ajote-8309	94	14	use	use	VERB
ajote-8309	94	15	other	other	ADJ
ajote-8309	94	16	ways	way	NOUN
ajote-8309	94	17	.	.	PUNCT
ajote-8309	95	1	(	(	PUNCT
ajote-8309	95	2	martin	martin	PROPN
ajote-8309	95	3	,	,	PUNCT
ajote-8309	95	4	im	im	ADJ
ajote-8309	95	5	—	—	PUNCT
ajote-8309	95	6	interview	interview	NOUN
ajote-8309	95	7	)	)	PUNCT
ajote-8309	95	8	as	as	SCONJ
ajote-8309	95	9	shown	show	VERB
ajote-8309	95	10	in	in	ADP
ajote-8309	95	11	the	the	DET
ajote-8309	95	12	excerpt	excerpt	NOUN
ajote-8309	95	13	above	above	ADV
ajote-8309	95	14	,	,	PUNCT
ajote-8309	95	15	these	these	DET
ajote-8309	95	16	pre	pre	ADJ
ajote-8309	95	17	-	-	ADJ
ajote-8309	95	18	service	service	ADJ
ajote-8309	95	19	teachers	teacher	NOUN
ajote-8309	95	20	’	'	PUNCT
ajote-8309	95	21	views	view	NOUN
ajote-8309	95	22	on	on	ADP
ajote-8309	95	23	sequencing	sequence	VERB
ajote-8309	95	24	and	and	CCONJ
ajote-8309	95	25	structuring	structuring	NOUN
ajote-8309	95	26	students	student	NOUN
ajote-8309	95	27	’	'	PUNCT
ajote-8309	95	28	learning	learn	VERB
ajote-8309	95	29	are	be	AUX
ajote-8309	95	30	linked	link	VERB
ajote-8309	95	31	to	to	ADP
ajote-8309	95	32	their	their	PRON
ajote-8309	95	33	knowledge	knowledge	NOUN
ajote-8309	95	34	of	of	ADP
ajote-8309	95	35	various	various	ADJ
ajote-8309	95	36	teaching	teaching	NOUN
ajote-8309	95	37	strategies	strategy	NOUN
ajote-8309	95	38	.	.	PUNCT
ajote-8309	96	1	when	when	SCONJ
ajote-8309	96	2	discussing	discuss	VERB
ajote-8309	96	3	the	the	DET
ajote-8309	96	4	organisation	organisation	NOUN
ajote-8309	96	5	of	of	ADP
ajote-8309	96	6	teaching	teaching	NOUN
ajote-8309	96	7	,	,	PUNCT
ajote-8309	96	8	both	both	CCONJ
ajote-8309	96	9	martin	martin	PROPN
ajote-8309	96	10	and	and	CCONJ
ajote-8309	96	11	denise	denise	PROPN
ajote-8309	96	12	argued	argue	VERB
ajote-8309	96	13	that	that	SCONJ
ajote-8309	96	14	to	to	PART
ajote-8309	96	15	carry	carry	VERB
ajote-8309	96	16	out	out	ADP
ajote-8309	96	17	mathematics	mathematic	NOUN
ajote-8309	96	18	teaching	teaching	NOUN
ajote-8309	96	19	tasks	task	NOUN
ajote-8309	96	20	,	,	PUNCT
ajote-8309	96	21	teachers	teacher	NOUN
ajote-8309	96	22	should	should	AUX
ajote-8309	96	23	know	know	VERB
ajote-8309	96	24	the	the	DET
ajote-8309	96	25	mathematical	mathematical	ADJ
ajote-8309	96	26	curricular	curricular	ADJ
ajote-8309	96	27	content	content	NOUN
ajote-8309	96	28	,	,	PUNCT
ajote-8309	96	29	which	which	PRON
ajote-8309	96	30	progresses	progress	VERB
ajote-8309	96	31	from	from	ADP
ajote-8309	96	32	simple	simple	ADJ
ajote-8309	96	33	to	to	ADP
ajote-8309	96	34	complex	complex	ADJ
ajote-8309	96	35	,	,	PUNCT
ajote-8309	96	36	and	and	CCONJ
ajote-8309	96	37	be	be	AUX
ajote-8309	96	38	able	able	ADJ
ajote-8309	96	39	to	to	PART
ajote-8309	96	40	connect	connect	VERB
ajote-8309	96	41	concrete	concrete	NOUN
ajote-8309	96	42	to	to	ADP
ajote-8309	96	43	abstract	abstract	ADJ
ajote-8309	96	44	concepts	concept	NOUN
ajote-8309	96	45	.	.	PUNCT
ajote-8309	97	1	previous	previous	ADJ
ajote-8309	97	2	studies	study	NOUN
ajote-8309	97	3	have	have	AUX
ajote-8309	97	4	shown	show	VERB
ajote-8309	97	5	that	that	SCONJ
ajote-8309	97	6	understanding	understand	VERB
ajote-8309	97	7	mathematical	mathematical	ADJ
ajote-8309	97	8	content	content	NOUN
ajote-8309	97	9	and	and	CCONJ
ajote-8309	97	10	curriculum	curriculum	NOUN
ajote-8309	97	11	is	be	AUX
ajote-8309	97	12	a	a	DET
ajote-8309	97	13	powerful	powerful	ADJ
ajote-8309	97	14	resource	resource	NOUN
ajote-8309	97	15	for	for	ADP
ajote-8309	97	16	teachers	teacher	NOUN
ajote-8309	97	17	(	(	PUNCT
ajote-8309	97	18	hill	hill	NOUN
ajote-8309	97	19	et	et	PROPN
ajote-8309	97	20	al	al	PROPN
ajote-8309	97	21	.	.	PROPN
ajote-8309	97	22	,	,	PUNCT
ajote-8309	97	23	2005	2005	NUM
ajote-8309	97	24	)	)	PUNCT
ajote-8309	97	25	and	and	CCONJ
ajote-8309	97	26	that	that	SCONJ
ajote-8309	97	27	in	in	ADP
ajote-8309	97	28	the	the	DET
ajote-8309	97	29	early	early	ADJ
ajote-8309	97	30	stages	stage	NOUN
ajote-8309	97	31	of	of	ADP
ajote-8309	97	32	teacher	teacher	NOUN
ajote-8309	97	33	education	education	NOUN
ajote-8309	97	34	,	,	PUNCT
ajote-8309	97	35	pre	pre	ADJ
ajote-8309	97	36	-	-	ADJ
ajote-8309	97	37	service	service	ADJ
ajote-8309	97	38	teachers	teacher	NOUN
ajote-8309	97	39	often	often	ADV
ajote-8309	97	40	rely	rely	VERB
ajote-8309	97	41	on	on	ADP
ajote-8309	97	42	the	the	DET
ajote-8309	97	43	curriculum	curriculum	NOUN
ajote-8309	97	44	and	and	CCONJ
ajote-8309	97	45	textbooks	textbook	NOUN
ajote-8309	97	46	when	when	SCONJ
ajote-8309	97	47	planning	planning	NOUN
ajote-8309	97	48	lessons	lesson	NOUN
ajote-8309	97	49	(	(	PUNCT
ajote-8309	97	50	könig	könig	PROPN
ajote-8309	97	51	et	et	PROPN
ajote-8309	97	52	al	al	PROPN
ajote-8309	97	53	.	.	PROPN
ajote-8309	97	54	,	,	PUNCT
ajote-8309	97	55	2020	2020	NUM
ajote-8309	97	56	)	)	PUNCT
ajote-8309	97	57	.	.	PUNCT
ajote-8309	98	1	this	this	DET
ajote-8309	98	2	tendency	tendency	NOUN
ajote-8309	98	3	was	be	AUX
ajote-8309	98	4	also	also	ADV
ajote-8309	98	5	evident	evident	ADJ
ajote-8309	98	6	in	in	ADP
ajote-8309	98	7	martin	martin	PROPN
ajote-8309	98	8	’s	’s	PART
ajote-8309	98	9	case	case	NOUN
ajote-8309	98	10	study	study	NOUN
ajote-8309	98	11	.	.	PUNCT
ajote-8309	99	1	however	however	ADV
ajote-8309	99	2	,	,	PUNCT
ajote-8309	99	3	martin	martin	PROPN
ajote-8309	99	4	also	also	ADV
ajote-8309	99	5	acknowledged	acknowledge	VERB
ajote-8309	99	6	the	the	DET
ajote-8309	99	7	value	value	NOUN
ajote-8309	99	8	of	of	ADP
ajote-8309	99	9	using	use	VERB
ajote-8309	99	10	instructional	instructional	ADJ
ajote-8309	99	11	strategies	strategy	NOUN
ajote-8309	99	12	beyond	beyond	ADP
ajote-8309	99	13	those	those	PRON
ajote-8309	99	14	provided	provide	VERB
ajote-8309	99	15	in	in	ADP
ajote-8309	99	16	standardised	standardised	ADJ
ajote-8309	99	17	curricula	curricula	NOUN
ajote-8309	99	18	and	and	CCONJ
ajote-8309	99	19	textbooks	textbook	NOUN
ajote-8309	99	20	.	.	PUNCT
ajote-8309	100	1	tracing	trace	VERB
ajote-8309	100	2	pre	pre	ADJ
ajote-8309	100	3	-	-	ADJ
ajote-8309	100	4	service	service	ADJ
ajote-8309	100	5	teachers	teacher	NOUN
ajote-8309	100	6	’	’	PART
ajote-8309	100	7	understanding	understanding	NOUN
ajote-8309	100	8	of	of	ADP
ajote-8309	100	9	specialized	specialized	ADJ
ajote-8309	100	10	content	content	NOUN
ajote-8309	100	11	knowledge	knowledge	NOUN
ajote-8309	100	12	for	for	ADP
ajote-8309	100	13	sequencing	sequence	VERB
ajote-8309	100	14	and	and	CCONJ
ajote-8309	100	15	structuring	structure	VERB
ajote-8309	100	16	mathematics	mathematic	NOUN
ajote-8309	100	17	learning	learn	VERB
ajote-8309	100	18	in	in	ADP
ajote-8309	100	19	low	low	ADJ
ajote-8309	100	20	-	-	PUNCT
ajote-8309	100	21	resource	resource	NOUN
ajote-8309	100	22	malawi	malawi	PROPN
ajote-8309	100	23	classrooms	classroom	NOUN
ajote-8309	100	24	ajote	ajote	VERB
ajote-8309	100	25	vol.14	vol.14	NOUN
ajote-8309	100	26	no.2	no.2	PROPN
ajote-8309	100	27	(	(	PUNCT
ajote-8309	100	28	2025	2025	NUM
ajote-8309	100	29	)	)	PUNCT
ajote-8309	100	30	,	,	PUNCT
ajote-8309	100	31	92	92	NUM
ajote-8309	100	32	-	-	SYM
ajote-8309	100	33	116	116	NUM
ajote-8309	100	34	99	99	NUM
ajote-8309	100	35	both	both	CCONJ
ajote-8309	100	36	martin	martin	PROPN
ajote-8309	100	37	and	and	CCONJ
ajote-8309	100	38	denise	denise	PROPN
ajote-8309	100	39	viewed	view	VERB
ajote-8309	100	40	sequencing	sequence	VERB
ajote-8309	100	41	and	and	CCONJ
ajote-8309	100	42	structuring	structuring	NOUN
ajote-8309	100	43	students	student	NOUN
ajote-8309	100	44	’	'	PUNCT
ajote-8309	100	45	mathematical	mathematical	ADJ
ajote-8309	100	46	learning	learning	NOUN
ajote-8309	100	47	through	through	ADP
ajote-8309	100	48	the	the	DET
ajote-8309	100	49	lens	lens	NOUN
ajote-8309	100	50	of	of	ADP
ajote-8309	100	51	curriculum	curriculum	NOUN
ajote-8309	100	52	progression	progression	NOUN
ajote-8309	100	53	.	.	PUNCT
ajote-8309	101	1	for	for	ADP
ajote-8309	101	2	them	they	PRON
ajote-8309	101	3	,	,	PUNCT
ajote-8309	101	4	this	this	PRON
ajote-8309	101	5	involved	involve	VERB
ajote-8309	101	6	a	a	DET
ajote-8309	101	7	simple	simple	ADJ
ajote-8309	101	8	-	-	PUNCT
ajote-8309	101	9	tocomplex	tocomplex	NOUN
ajote-8309	101	10	approach	approach	NOUN
ajote-8309	101	11	,	,	PUNCT
ajote-8309	101	12	allowing	allow	VERB
ajote-8309	101	13	students	student	NOUN
ajote-8309	101	14	to	to	PART
ajote-8309	101	15	build	build	VERB
ajote-8309	101	16	their	their	PRON
ajote-8309	101	17	understanding	understanding	NOUN
ajote-8309	101	18	progressively	progressively	ADV
ajote-8309	101	19	.	.	PUNCT
ajote-8309	102	1	however	however	ADV
ajote-8309	102	2	,	,	PUNCT
ajote-8309	102	3	while	while	SCONJ
ajote-8309	102	4	denise	denise	PROPN
ajote-8309	102	5	relied	rely	VERB
ajote-8309	102	6	solely	solely	ADV
ajote-8309	102	7	on	on	ADP
ajote-8309	102	8	textbook	textbook	NOUN
ajote-8309	102	9	content	content	NOUN
ajote-8309	102	10	for	for	ADP
ajote-8309	102	11	lesson	lesson	NOUN
ajote-8309	102	12	design	design	NOUN
ajote-8309	102	13	,	,	PUNCT
ajote-8309	102	14	martin	martin	PROPN
ajote-8309	102	15	appeared	appear	VERB
ajote-8309	102	16	more	more	ADV
ajote-8309	102	17	flexible	flexible	ADJ
ajote-8309	102	18	,	,	PUNCT
ajote-8309	102	19	seeing	see	VERB
ajote-8309	102	20	curricular	curricular	ADJ
ajote-8309	102	21	guidelines	guideline	NOUN
ajote-8309	102	22	as	as	ADP
ajote-8309	102	23	a	a	DET
ajote-8309	102	24	foundation	foundation	NOUN
ajote-8309	102	25	for	for	ADP
ajote-8309	102	26	exploring	explore	VERB
ajote-8309	102	27	varied	varied	ADJ
ajote-8309	102	28	instructional	instructional	ADJ
ajote-8309	102	29	strategies	strategy	NOUN
ajote-8309	102	30	.	.	PUNCT
ajote-8309	103	1	in	in	ADP
ajote-8309	103	2	summary	summary	NOUN
ajote-8309	103	3	,	,	PUNCT
ajote-8309	103	4	at	at	ADP
ajote-8309	103	5	the	the	DET
ajote-8309	103	6	beginning	beginning	NOUN
ajote-8309	103	7	of	of	ADP
ajote-8309	103	8	their	their	PRON
ajote-8309	103	9	teacher	teacher	NOUN
ajote-8309	103	10	education	education	NOUN
ajote-8309	103	11	,	,	PUNCT
ajote-8309	103	12	denise	denise	PROPN
ajote-8309	103	13	and	and	CCONJ
ajote-8309	103	14	martin	martin	PROPN
ajote-8309	103	15	held	hold	VERB
ajote-8309	103	16	complementary	complementary	ADJ
ajote-8309	103	17	views	view	NOUN
ajote-8309	103	18	on	on	ADP
ajote-8309	103	19	the	the	DET
ajote-8309	103	20	knowledge	knowledge	NOUN
ajote-8309	103	21	and	and	CCONJ
ajote-8309	103	22	skills	skill	NOUN
ajote-8309	103	23	needed	need	VERB
ajote-8309	103	24	to	to	PART
ajote-8309	103	25	teach	teach	VERB
ajote-8309	103	26	mathematics	mathematic	NOUN
ajote-8309	103	27	in	in	ADP
ajote-8309	103	28	primary	primary	ADJ
ajote-8309	103	29	schools	school	NOUN
ajote-8309	103	30	.	.	PUNCT
ajote-8309	104	1	viewed	view	VERB
ajote-8309	104	2	through	through	ADP
ajote-8309	104	3	ball	ball	NOUN
ajote-8309	104	4	et	et	PROPN
ajote-8309	104	5	al	al	PROPN
ajote-8309	104	6	.	.	PROPN
ajote-8309	104	7	’s	’s	PART
ajote-8309	104	8	(	(	PUNCT
ajote-8309	104	9	2008	2008	NUM
ajote-8309	104	10	)	)	PUNCT
ajote-8309	104	11	mkt	mkt	PROPN
ajote-8309	104	12	framework	framework	NOUN
ajote-8309	104	13	,	,	PUNCT
ajote-8309	104	14	both	both	CCONJ
ajote-8309	104	15	these	these	DET
ajote-8309	104	16	pre	pre	ADJ
ajote-8309	104	17	-	-	ADJ
ajote-8309	104	18	service	service	ADJ
ajote-8309	104	19	teachers	teacher	NOUN
ajote-8309	104	20	’	'	PUNCT
ajote-8309	104	21	responses	response	NOUN
ajote-8309	104	22	reflect	reflect	VERB
ajote-8309	104	23	aspects	aspect	NOUN
ajote-8309	104	24	of	of	ADP
ajote-8309	104	25	sck	sck	PROPN
ajote-8309	104	26	,	,	PUNCT
ajote-8309	104	27	such	such	ADJ
ajote-8309	104	28	as	as	ADP
ajote-8309	104	29	“	"	PUNCT
ajote-8309	104	30	recognising	recognise	VERB
ajote-8309	104	31	what	what	PRON
ajote-8309	104	32	is	be	AUX
ajote-8309	104	33	involved	involve	VERB
ajote-8309	104	34	in	in	ADP
ajote-8309	104	35	using	use	VERB
ajote-8309	104	36	a	a	DET
ajote-8309	104	37	particular	particular	ADJ
ajote-8309	104	38	representation	representation	NOUN
ajote-8309	104	39	,	,	PUNCT
ajote-8309	104	40	”	"	PUNCT
ajote-8309	104	41	“	"	PUNCT
ajote-8309	104	42	connecting	connect	VERB
ajote-8309	104	43	a	a	DET
ajote-8309	104	44	topic	topic	NOUN
ajote-8309	104	45	being	be	AUX
ajote-8309	104	46	taught	teach	VERB
ajote-8309	104	47	to	to	ADP
ajote-8309	104	48	topics	topic	NOUN
ajote-8309	104	49	from	from	ADP
ajote-8309	104	50	previous	previous	ADJ
ajote-8309	104	51	and	and	CCONJ
ajote-8309	104	52	future	future	ADJ
ajote-8309	104	53	lessons	lesson	NOUN
ajote-8309	104	54	,	,	PUNCT
ajote-8309	104	55	”	"	PUNCT
ajote-8309	104	56	and	and	CCONJ
ajote-8309	104	57	“	"	PUNCT
ajote-8309	104	58	appraising	appraise	VERB
ajote-8309	104	59	and	and	CCONJ
ajote-8309	104	60	adapting	adapt	VERB
ajote-8309	104	61	the	the	DET
ajote-8309	104	62	mathematical	mathematical	ADJ
ajote-8309	104	63	content	content	NOUN
ajote-8309	104	64	of	of	ADP
ajote-8309	104	65	textbooks	textbook	NOUN
ajote-8309	104	66	”	"	PUNCT
ajote-8309	104	67	(	(	PUNCT
ajote-8309	104	68	ball	ball	NOUN
ajote-8309	104	69	et	et	NOUN
ajote-8309	104	70	al	al	PROPN
ajote-8309	104	71	.	.	PROPN
ajote-8309	104	72	,	,	PUNCT
ajote-8309	104	73	2008	2008	NUM
ajote-8309	104	74	,	,	PUNCT
ajote-8309	104	75	p.	p.	NOUN
ajote-8309	104	76	400	400	NUM
ajote-8309	104	77	)	)	PUNCT
ajote-8309	104	78	.	.	PUNCT
ajote-8309	105	1	however	however	ADV
ajote-8309	105	2	,	,	PUNCT
ajote-8309	105	3	their	their	PRON
ajote-8309	105	4	shared	share	VERB
ajote-8309	105	5	preference	preference	NOUN
ajote-8309	105	6	for	for	ADP
ajote-8309	105	7	a	a	DET
ajote-8309	105	8	“	"	PUNCT
ajote-8309	105	9	simple	simple	ADJ
ajote-8309	105	10	-	-	PUNCT
ajote-8309	105	11	to	to	ADP
ajote-8309	105	12	-	-	PUNCT
ajote-8309	105	13	complex	complex	NOUN
ajote-8309	105	14	”	"	PUNCT
ajote-8309	105	15	teaching	teaching	NOUN
ajote-8309	105	16	approach	approach	NOUN
ajote-8309	105	17	reflects	reflect	VERB
ajote-8309	105	18	a	a	DET
ajote-8309	105	19	linear	linear	ADJ
ajote-8309	105	20	view	view	NOUN
ajote-8309	105	21	of	of	ADP
ajote-8309	105	22	mathematics	mathematic	NOUN
ajote-8309	105	23	learning	learn	VERB
ajote-8309	105	24	that	that	PRON
ajote-8309	105	25	may	may	AUX
ajote-8309	105	26	overlook	overlook	VERB
ajote-8309	105	27	the	the	DET
ajote-8309	105	28	need	need	NOUN
ajote-8309	105	29	for	for	ADP
ajote-8309	105	30	instructional	instructional	ADJ
ajote-8309	105	31	adaptation	adaptation	NOUN
ajote-8309	105	32	based	base	VERB
ajote-8309	105	33	on	on	ADP
ajote-8309	105	34	students	student	NOUN
ajote-8309	105	35	’	’	PART
ajote-8309	105	36	specific	specific	ADJ
ajote-8309	105	37	needs	need	NOUN
ajote-8309	105	38	and	and	CCONJ
ajote-8309	105	39	learning	learn	VERB
ajote-8309	105	40	trajectories	trajectory	NOUN
ajote-8309	105	41	.	.	PUNCT
ajote-8309	106	1	new	new	ADJ
ajote-8309	106	2	forms	form	NOUN
ajote-8309	106	3	of	of	ADP
ajote-8309	106	4	understanding	understand	VERB
ajote-8309	106	5	the	the	DET
ajote-8309	106	6	knowledge	knowledge	NOUN
ajote-8309	106	7	needed	need	VERB
ajote-8309	106	8	to	to	ADP
ajote-8309	106	9	sequence	sequence	NOUN
ajote-8309	106	10	and	and	CCONJ
ajote-8309	106	11	structure	structure	NOUN
ajote-8309	106	12	students	student	NOUN
ajote-8309	106	13	’	'	PUNCT
ajote-8309	106	14	learning	learn	VERB
ajote-8309	106	15	upon	upon	SCONJ
ajote-8309	106	16	reflections	reflection	NOUN
ajote-8309	106	17	on	on	ADP
ajote-8309	106	18	teaching	teach	VERB
ajote-8309	106	19	tasks	task	NOUN
ajote-8309	106	20	lesson	lesson	NOUN
ajote-8309	106	21	observation	observation	NOUN
ajote-8309	106	22	during	during	ADP
ajote-8309	106	23	the	the	DET
ajote-8309	106	24	practicum	practicum	NOUN
ajote-8309	106	25	provided	provide	VERB
ajote-8309	106	26	insight	insight	NOUN
ajote-8309	106	27	into	into	ADP
ajote-8309	106	28	how	how	SCONJ
ajote-8309	106	29	denise	denise	PROPN
ajote-8309	106	30	and	and	CCONJ
ajote-8309	106	31	martin	martin	PROPN
ajote-8309	106	32	’s	’s	PART
ajote-8309	106	33	views	view	NOUN
ajote-8309	106	34	on	on	ADP
ajote-8309	106	35	sequencing	sequence	VERB
ajote-8309	106	36	and	and	CCONJ
ajote-8309	106	37	structuring	structuring	NOUN
ajote-8309	106	38	students	student	NOUN
ajote-8309	106	39	’	'	PUNCT
ajote-8309	106	40	mathematics	mathematic	NOUN
ajote-8309	106	41	learning	learning	NOUN
ajote-8309	106	42	—	—	PUNCT
ajote-8309	106	43	initially	initially	ADV
ajote-8309	106	44	anchored	anchor	VERB
ajote-8309	106	45	in	in	ADP
ajote-8309	106	46	a	a	DET
ajote-8309	106	47	“	"	PUNCT
ajote-8309	106	48	simpleto	simpleto	NOUN
ajote-8309	106	49	-	-	PUNCT
ajote-8309	106	50	complex	complex	NOUN
ajote-8309	106	51	”	"	PUNCT
ajote-8309	106	52	framework	framework	NOUN
ajote-8309	106	53	—	—	PUNCT
ajote-8309	106	54	were	be	AUX
ajote-8309	106	55	enacted	enact	VERB
ajote-8309	106	56	and	and	CCONJ
ajote-8309	106	57	refined	refine	VERB
ajote-8309	106	58	through	through	ADP
ajote-8309	106	59	lesson	lesson	NOUN
ajote-8309	106	60	planning	planning	NOUN
ajote-8309	106	61	and	and	CCONJ
ajote-8309	106	62	teaching	teaching	NOUN
ajote-8309	106	63	.	.	PUNCT
ajote-8309	107	1	to	to	PART
ajote-8309	107	2	elaborate	elaborate	VERB
ajote-8309	107	3	on	on	ADP
ajote-8309	107	4	our	our	PRON
ajote-8309	107	5	findings	finding	NOUN
ajote-8309	107	6	,	,	PUNCT
ajote-8309	107	7	we	we	PRON
ajote-8309	107	8	refer	refer	VERB
ajote-8309	107	9	to	to	ADP
ajote-8309	107	10	one	one	NUM
ajote-8309	107	11	of	of	ADP
ajote-8309	107	12	denise	denise	PROPN
ajote-8309	107	13	’s	’s	PART
ajote-8309	107	14	lessons	lesson	NOUN
ajote-8309	107	15	on	on	ADP
ajote-8309	107	16	multiplication	multiplication	NOUN
ajote-8309	107	17	for	for	ADP
ajote-8309	107	18	standard	standard	ADJ
ajote-8309	107	19	2	2	NUM
ajote-8309	107	20	(	(	PUNCT
ajote-8309	107	21	grade	grade	NOUN
ajote-8309	107	22	2	2	NUM
ajote-8309	107	23	)	)	PUNCT
ajote-8309	107	24	students	student	NOUN
ajote-8309	107	25	and	and	CCONJ
ajote-8309	107	26	one	one	NUM
ajote-8309	107	27	of	of	ADP
ajote-8309	107	28	martin	martin	PROPN
ajote-8309	107	29	’s	’s	PART
ajote-8309	107	30	lessons	lesson	NOUN
ajote-8309	107	31	on	on	ADP
ajote-8309	107	32	the	the	DET
ajote-8309	107	33	geometric	geometric	ADJ
ajote-8309	107	34	representation	representation	NOUN
ajote-8309	107	35	of	of	ADP
ajote-8309	107	36	fractions	fraction	NOUN
ajote-8309	107	37	for	for	ADP
ajote-8309	107	38	standard	standard	ADJ
ajote-8309	107	39	4	4	NUM
ajote-8309	107	40	(	(	PUNCT
ajote-8309	107	41	grade	grade	NOUN
ajote-8309	107	42	4	4	NUM
ajote-8309	107	43	)	)	PUNCT
ajote-8309	107	44	students	student	NOUN
ajote-8309	107	45	as	as	ADP
ajote-8309	107	46	illustrative	illustrative	ADJ
ajote-8309	107	47	cases	case	NOUN
ajote-8309	107	48	.	.	PUNCT
ajote-8309	108	1	selected	select	VERB
ajote-8309	108	2	teaching	teaching	NOUN
ajote-8309	108	3	episodes	episode	NOUN
ajote-8309	108	4	from	from	ADP
ajote-8309	108	5	each	each	DET
ajote-8309	108	6	lesson	lesson	NOUN
ajote-8309	108	7	were	be	AUX
ajote-8309	108	8	discussed	discuss	VERB
ajote-8309	108	9	in	in	ADP
ajote-8309	108	10	post	post	ADJ
ajote-8309	108	11	-	-	ADJ
ajote-8309	108	12	lesson	lesson	ADJ
ajote-8309	108	13	interviews	interview	NOUN
ajote-8309	108	14	to	to	PART
ajote-8309	108	15	probe	probe	VERB
ajote-8309	108	16	further	far	ADV
ajote-8309	108	17	into	into	ADP
ajote-8309	108	18	the	the	DET
ajote-8309	108	19	types	type	NOUN
ajote-8309	108	20	of	of	ADP
ajote-8309	108	21	knowledge	knowledge	NOUN
ajote-8309	108	22	that	that	PRON
ajote-8309	108	23	these	these	DET
ajote-8309	108	24	pre	pre	ADJ
ajote-8309	108	25	-	-	ADJ
ajote-8309	108	26	service	service	ADJ
ajote-8309	108	27	teachers	teacher	NOUN
ajote-8309	108	28	identified	identify	VERB
ajote-8309	108	29	as	as	ADP
ajote-8309	108	30	essential	essential	ADJ
ajote-8309	108	31	for	for	ADP
ajote-8309	108	32	sequencing	sequence	VERB
ajote-8309	108	33	mathematical	mathematical	ADJ
ajote-8309	108	34	activities	activity	NOUN
ajote-8309	108	35	during	during	ADP
ajote-8309	108	36	initial	initial	ADJ
ajote-8309	108	37	teacher	teacher	NOUN
ajote-8309	108	38	education	education	NOUN
ajote-8309	108	39	(	(	PUNCT
ajote-8309	108	40	i	i	NOUN
ajote-8309	108	41	m	m	PROPN
ajote-8309	108	42	)	)	PUNCT
ajote-8309	108	43	.	.	PUNCT
ajote-8309	109	1	the	the	DET
ajote-8309	109	2	episode	episode	NOUN
ajote-8309	109	3	selected	select	VERB
ajote-8309	109	4	for	for	ADP
ajote-8309	109	5	analysis	analysis	NOUN
ajote-8309	109	6	in	in	ADP
ajote-8309	109	7	denise	denise	PROPN
ajote-8309	109	8	’s	’s	PART
ajote-8309	109	9	case	case	NOUN
ajote-8309	109	10	occurred	occur	VERB
ajote-8309	109	11	during	during	ADP
ajote-8309	109	12	her	her	PRON
ajote-8309	109	13	instruction	instruction	NOUN
ajote-8309	109	14	on	on	ADP
ajote-8309	109	15	mathematical	mathematical	ADJ
ajote-8309	109	16	concepts	concept	NOUN
ajote-8309	109	17	and	and	CCONJ
ajote-8309	109	18	procedures	procedure	NOUN
ajote-8309	109	19	,	,	PUNCT
ajote-8309	109	20	specifically	specifically	ADV
ajote-8309	109	21	,	,	PUNCT
ajote-8309	109	22	multiplication	multiplication	NOUN
ajote-8309	109	23	by	by	ADP
ajote-8309	109	24	three	three	NUM
ajote-8309	109	25	.	.	PUNCT
ajote-8309	110	1	in	in	ADP
ajote-8309	110	2	contrast	contrast	NOUN
ajote-8309	110	3	,	,	PUNCT
ajote-8309	110	4	the	the	DET
ajote-8309	110	5	episode	episode	NOUN
ajote-8309	110	6	from	from	ADP
ajote-8309	110	7	martin	martin	PROPN
ajote-8309	110	8	’s	’s	PART
ajote-8309	110	9	lesson	lesson	NOUN
ajote-8309	110	10	took	take	VERB
ajote-8309	110	11	place	place	NOUN
ajote-8309	110	12	as	as	SCONJ
ajote-8309	110	13	he	he	PRON
ajote-8309	110	14	responded	respond	VERB
ajote-8309	110	15	to	to	ADP
ajote-8309	110	16	students	student	NOUN
ajote-8309	110	17	’	'	PUNCT
ajote-8309	110	18	approaches	approach	NOUN
ajote-8309	110	19	to	to	ADP
ajote-8309	110	20	solving	solve	VERB
ajote-8309	110	21	a	a	DET
ajote-8309	110	22	task	task	NOUN
ajote-8309	110	23	involving	involve	VERB
ajote-8309	110	24	the	the	DET
ajote-8309	110	25	geometric	geometric	ADJ
ajote-8309	110	26	representation	representation	NOUN
ajote-8309	110	27	of	of	ADP
ajote-8309	110	28	fractions	fraction	NOUN
ajote-8309	110	29	.	.	PUNCT
ajote-8309	111	1	these	these	DET
ajote-8309	111	2	instructional	instructional	ADJ
ajote-8309	111	3	moments	moment	NOUN
ajote-8309	111	4	—	—	PUNCT
ajote-8309	111	5	presented	present	VERB
ajote-8309	111	6	as	as	ADP
ajote-8309	111	7	excerpts	excerpt	NOUN
ajote-8309	111	8	—	—	PUNCT
ajote-8309	111	9	served	serve	VERB
ajote-8309	111	10	as	as	ADP
ajote-8309	111	11	valuable	valuable	ADJ
ajote-8309	111	12	analytical	analytical	ADJ
ajote-8309	111	13	sources	source	NOUN
ajote-8309	111	14	,	,	PUNCT
ajote-8309	111	15	as	as	SCONJ
ajote-8309	111	16	they	they	PRON
ajote-8309	111	17	prompted	prompt	VERB
ajote-8309	111	18	pre	pre	ADJ
ajote-8309	111	19	-	-	ADJ
ajote-8309	111	20	service	service	ADJ
ajote-8309	111	21	teachers	teacher	NOUN
ajote-8309	111	22	to	to	PART
ajote-8309	111	23	reflect	reflect	VERB
ajote-8309	111	24	on	on	ADP
ajote-8309	111	25	how	how	SCONJ
ajote-8309	111	26	to	to	PART
ajote-8309	111	27	better	well	ADV
ajote-8309	111	28	support	support	VERB
ajote-8309	111	29	students	student	NOUN
ajote-8309	111	30	’	'	PUNCT
ajote-8309	111	31	mathematical	mathematical	ADJ
ajote-8309	111	32	learning	learning	NOUN
ajote-8309	111	33	.	.	PUNCT
ajote-8309	112	1	everton	everton	PROPN
ajote-8309	112	2	jacinto	jacinto	PROPN
ajote-8309	112	3	,	,	PUNCT
ajote-8309	112	4	arne	arne	ADJ
ajote-8309	112	5	jakobsen	jakobsen	NOUN
ajote-8309	112	6	,	,	PUNCT
ajote-8309	112	7	raymond	raymond	PROPN
ajote-8309	112	8	bjuland	bjuland	PROPN
ajote-8309	112	9	ajote	ajote	PROPN
ajote-8309	112	10	vol.14	vol.14	NOUN
ajote-8309	112	11	no.2	no.2	PROPN
ajote-8309	112	12	(	(	PUNCT
ajote-8309	112	13	2025	2025	NUM
ajote-8309	112	14	)	)	PUNCT
ajote-8309	112	15	,	,	PUNCT
ajote-8309	112	16	92	92	NUM
ajote-8309	112	17	-	-	SYM
ajote-8309	112	18	116	116	NUM
ajote-8309	112	19	100	100	NUM
ajote-8309	112	20	data	datum	NOUN
ajote-8309	112	21	from	from	ADP
ajote-8309	112	22	both	both	DET
ajote-8309	112	23	episodes	episode	NOUN
ajote-8309	112	24	were	be	AUX
ajote-8309	112	25	analysed	analyse	VERB
ajote-8309	112	26	in	in	ADP
ajote-8309	112	27	relation	relation	NOUN
ajote-8309	112	28	to	to	ADP
ajote-8309	112	29	the	the	DET
ajote-8309	112	30	features	feature	NOUN
ajote-8309	112	31	of	of	ADP
ajote-8309	112	32	sck	sck	PROPN
ajote-8309	112	33	outlined	outline	VERB
ajote-8309	112	34	by	by	ADP
ajote-8309	112	35	ball	ball	PROPN
ajote-8309	112	36	et	et	PROPN
ajote-8309	112	37	al	al	PROPN
ajote-8309	112	38	.	.	PUNCT
ajote-8309	113	1	(	(	PUNCT
ajote-8309	113	2	2008	2008	NUM
ajote-8309	113	3	)	)	PUNCT
ajote-8309	113	4	,	,	PUNCT
ajote-8309	113	5	particularly	particularly	ADV
ajote-8309	113	6	those	those	PRON
ajote-8309	113	7	relevant	relevant	ADJ
ajote-8309	113	8	to	to	ADP
ajote-8309	113	9	explaining	explain	VERB
ajote-8309	113	10	mathematical	mathematical	ADJ
ajote-8309	113	11	concepts	concept	NOUN
ajote-8309	113	12	and	and	CCONJ
ajote-8309	113	13	procedures	procedure	NOUN
ajote-8309	113	14	and	and	CCONJ
ajote-8309	113	15	interpreting	interpret	VERB
ajote-8309	113	16	students	student	NOUN
ajote-8309	113	17	’	'	PUNCT
ajote-8309	113	18	thinking	thinking	NOUN
ajote-8309	113	19	and	and	CCONJ
ajote-8309	113	20	problem	problem	NOUN
ajote-8309	113	21	-	-	PUNCT
ajote-8309	113	22	solving	solve	VERB
ajote-8309	113	23	strategies	strategy	NOUN
ajote-8309	113	24	(	(	PUNCT
ajote-8309	113	25	hill	hill	NOUN
ajote-8309	113	26	et	et	PROPN
ajote-8309	113	27	al	al	PROPN
ajote-8309	113	28	.	.	PROPN
ajote-8309	113	29	,	,	PUNCT
ajote-8309	113	30	2004	2004	NUM
ajote-8309	113	31	)	)	PUNCT
ajote-8309	113	32	.	.	PUNCT
ajote-8309	114	1	connecting	connect	VERB
ajote-8309	114	2	content	content	NOUN
ajote-8309	114	3	elements	element	NOUN
ajote-8309	114	4	to	to	PART
ajote-8309	114	5	explain	explain	VERB
ajote-8309	114	6	multiplication	multiplication	NOUN
ajote-8309	114	7	concepts	concept	NOUN
ajote-8309	114	8	and	and	CCONJ
ajote-8309	114	9	procedures	procedure	NOUN
ajote-8309	114	10	.	.	PUNCT
ajote-8309	115	1	denise	denise	PROPN
ajote-8309	115	2	began	begin	VERB
ajote-8309	115	3	the	the	DET
ajote-8309	115	4	lesson	lesson	NOUN
ajote-8309	115	5	by	by	ADP
ajote-8309	115	6	organizing	organize	VERB
ajote-8309	115	7	students	student	NOUN
ajote-8309	115	8	into	into	ADP
ajote-8309	115	9	groups	group	NOUN
ajote-8309	115	10	and	and	CCONJ
ajote-8309	115	11	asking	ask	VERB
ajote-8309	115	12	each	each	DET
ajote-8309	115	13	group	group	NOUN
ajote-8309	115	14	to	to	PART
ajote-8309	115	15	solve	solve	VERB
ajote-8309	115	16	the	the	DET
ajote-8309	115	17	expression	expression	NOUN
ajote-8309	115	18	“	"	PUNCT
ajote-8309	115	19	2	2	NUM
ajote-8309	115	20	×	×	NOUN
ajote-8309	115	21	3	3	NUM
ajote-8309	115	22	=	=	NOUN
ajote-8309	115	23	”	"	PUNCT
ajote-8309	115	24	,	,	PUNCT
ajote-8309	115	25	which	which	PRON
ajote-8309	115	26	she	she	PRON
ajote-8309	115	27	wrote	write	VERB
ajote-8309	115	28	on	on	ADP
ajote-8309	115	29	the	the	DET
ajote-8309	115	30	blackboard	blackboard	NOUN
ajote-8309	115	31	.	.	PUNCT
ajote-8309	116	1	a	a	DET
ajote-8309	116	2	student	student	NOUN
ajote-8309	116	3	from	from	ADP
ajote-8309	116	4	each	each	DET
ajote-8309	116	5	group	group	NOUN
ajote-8309	116	6	then	then	ADV
ajote-8309	116	7	came	come	VERB
ajote-8309	116	8	to	to	ADP
ajote-8309	116	9	the	the	DET
ajote-8309	116	10	front	front	NOUN
ajote-8309	116	11	and	and	CCONJ
ajote-8309	116	12	wrote	write	VERB
ajote-8309	116	13	the	the	DET
ajote-8309	116	14	answer	answer	NOUN
ajote-8309	116	15	“	"	PUNCT
ajote-8309	116	16	6	6	NUM
ajote-8309	116	17	”	"	PUNCT
ajote-8309	116	18	after	after	ADP
ajote-8309	116	19	the	the	DET
ajote-8309	116	20	equal	equal	ADJ
ajote-8309	116	21	sign	sign	NOUN
ajote-8309	116	22	.	.	PUNCT
ajote-8309	117	1	to	to	PART
ajote-8309	117	2	illustrate	illustrate	VERB
ajote-8309	117	3	the	the	DET
ajote-8309	117	4	concept	concept	NOUN
ajote-8309	117	5	visually	visually	ADV
ajote-8309	117	6	,	,	PUNCT
ajote-8309	117	7	denise	denise	PROPN
ajote-8309	117	8	drew	draw	VERB
ajote-8309	117	9	two	two	NUM
ajote-8309	117	10	sets	set	NOUN
ajote-8309	117	11	of	of	ADP
ajote-8309	117	12	three	three	NUM
ajote-8309	117	13	vertical	vertical	ADJ
ajote-8309	117	14	lines	line	NOUN
ajote-8309	117	15	(	(	PUNCT
ajote-8309	117	16	lll	lll	NOUN
ajote-8309	117	17	lll	lll	PROPN
ajote-8309	117	18	)	)	PUNCT
ajote-8309	117	19	on	on	ADP
ajote-8309	117	20	the	the	DET
ajote-8309	117	21	board	board	NOUN
ajote-8309	117	22	and	and	CCONJ
ajote-8309	117	23	explained	explain	VERB
ajote-8309	117	24	that	that	SCONJ
ajote-8309	117	25	this	this	DET
ajote-8309	117	26	representation	representation	NOUN
ajote-8309	117	27	corresponded	correspond	VERB
ajote-8309	117	28	to	to	ADP
ajote-8309	117	29	the	the	DET
ajote-8309	117	30	expression	expression	NOUN
ajote-8309	117	31	2	2	NUM
ajote-8309	117	32	×	×	NOUN
ajote-8309	117	33	3	3	NUM
ajote-8309	117	34	.	.	PUNCT
ajote-8309	118	1	she	she	PRON
ajote-8309	118	2	then	then	ADV
ajote-8309	118	3	presented	present	VERB
ajote-8309	118	4	a	a	DET
ajote-8309	118	5	similar	similar	ADJ
ajote-8309	118	6	task—4	task—4	PROPN
ajote-8309	118	7	×	×	NOUN
ajote-8309	118	8	3	3	NUM
ajote-8309	118	9	—	—	PUNCT
ajote-8309	118	10	and	and	CCONJ
ajote-8309	118	11	represented	represent	VERB
ajote-8309	118	12	it	it	PRON
ajote-8309	118	13	with	with	ADP
ajote-8309	118	14	four	four	NUM
ajote-8309	118	15	sets	set	NOUN
ajote-8309	118	16	of	of	ADP
ajote-8309	118	17	three	three	NUM
ajote-8309	118	18	vertical	vertical	ADJ
ajote-8309	118	19	lines	line	NOUN
ajote-8309	118	20	(	(	PUNCT
ajote-8309	118	21	lll	lll	PROPN
ajote-8309	118	22	lll	lll	PROPN
ajote-8309	118	23	lll	lll	PROPN
ajote-8309	118	24	lll	lll	PROPN
ajote-8309	118	25	)	)	PUNCT
ajote-8309	118	26	,	,	PUNCT
ajote-8309	118	27	as	as	SCONJ
ajote-8309	118	28	shown	show	VERB
ajote-8309	118	29	in	in	ADP
ajote-8309	118	30	figure	figure	NOUN
ajote-8309	118	31	1	1	NUM
ajote-8309	118	32	.	.	PUNCT
ajote-8309	119	1	through	through	ADP
ajote-8309	119	2	this	this	DET
ajote-8309	119	3	approach	approach	NOUN
ajote-8309	119	4	,	,	PUNCT
ajote-8309	119	5	denise	denise	PROPN
ajote-8309	119	6	aimed	aim	VERB
ajote-8309	119	7	to	to	PART
ajote-8309	119	8	connect	connect	VERB
ajote-8309	119	9	symbolic	symbolic	ADJ
ajote-8309	119	10	notation	notation	NOUN
ajote-8309	119	11	with	with	ADP
ajote-8309	119	12	visual	visual	ADJ
ajote-8309	119	13	groupings	grouping	NOUN
ajote-8309	119	14	to	to	PART
ajote-8309	119	15	support	support	VERB
ajote-8309	119	16	students	student	NOUN
ajote-8309	119	17	’	’	PART
ajote-8309	119	18	understanding	understanding	NOUN
ajote-8309	119	19	of	of	ADP
ajote-8309	119	20	multiplication	multiplication	NOUN
ajote-8309	119	21	.	.	PUNCT
ajote-8309	120	1	figure	figure	NOUN
ajote-8309	120	2	1	1	NUM
ajote-8309	120	3	:	:	PUNCT
ajote-8309	120	4	representations	representation	NOUN
ajote-8309	120	5	used	use	VERB
ajote-8309	120	6	by	by	ADP
ajote-8309	120	7	denise	denise	PROPN
ajote-8309	120	8	to	to	PART
ajote-8309	120	9	explain	explain	VERB
ajote-8309	120	10	multiplication	multiplication	NOUN
ajote-8309	120	11	by	by	ADP
ajote-8309	120	12	three	three	NUM
ajote-8309	120	13	.	.	PUNCT
ajote-8309	121	1	denise	denise	PROPN
ajote-8309	121	2	’s	’s	PART
ajote-8309	121	3	approach	approach	NOUN
ajote-8309	121	4	to	to	ADP
ajote-8309	121	5	representing	represent	VERB
ajote-8309	121	6	multiplication	multiplication	NOUN
ajote-8309	121	7	reflects	reflect	VERB
ajote-8309	121	8	an	an	DET
ajote-8309	121	9	interpretation	interpretation	NOUN
ajote-8309	121	10	based	base	VERB
ajote-8309	121	11	on	on	ADP
ajote-8309	121	12	the	the	DET
ajote-8309	121	13	order	order	NOUN
ajote-8309	121	14	of	of	ADP
ajote-8309	121	15	operations	operation	NOUN
ajote-8309	121	16	.	.	PUNCT
ajote-8309	122	1	her	her	PRON
ajote-8309	122	2	strategy	strategy	NOUN
ajote-8309	122	3	suggests	suggest	VERB
ajote-8309	122	4	that	that	SCONJ
ajote-8309	122	5	the	the	DET
ajote-8309	122	6	position	position	NOUN
ajote-8309	122	7	of	of	ADP
ajote-8309	122	8	each	each	DET
ajote-8309	122	9	number	number	NOUN
ajote-8309	122	10	in	in	ADP
ajote-8309	122	11	the	the	DET
ajote-8309	122	12	expression	expression	NOUN
ajote-8309	122	13	determines	determine	VERB
ajote-8309	122	14	how	how	SCONJ
ajote-8309	122	15	the	the	DET
ajote-8309	122	16	combination	combination	NOUN
ajote-8309	122	17	should	should	AUX
ajote-8309	122	18	be	be	AUX
ajote-8309	122	19	interpreted	interpret	VERB
ajote-8309	122	20	and	and	CCONJ
ajote-8309	122	21	represented	represent	VERB
ajote-8309	122	22	.	.	PUNCT
ajote-8309	123	1	in	in	ADP
ajote-8309	123	2	the	the	DET
ajote-8309	123	3	excerpt	excerpt	NOUN
ajote-8309	123	4	below	below	ADV
ajote-8309	123	5	,	,	PUNCT
ajote-8309	123	6	taken	take	VERB
ajote-8309	123	7	from	from	ADP
ajote-8309	123	8	the	the	DET
ajote-8309	123	9	post	post	ADJ
ajote-8309	123	10	-	-	ADJ
ajote-8309	123	11	lesson	lesson	ADJ
ajote-8309	123	12	interview	interview	NOUN
ajote-8309	123	13	,	,	PUNCT
ajote-8309	123	14	denise	denise	PROPN
ajote-8309	123	15	explains	explain	VERB
ajote-8309	123	16	how	how	SCONJ
ajote-8309	123	17	she	she	PRON
ajote-8309	123	18	conceptualised	conceptualise	VERB
ajote-8309	123	19	and	and	CCONJ
ajote-8309	123	20	implemented	implement	VERB
ajote-8309	123	21	this	this	DET
ajote-8309	123	22	model	model	NOUN
ajote-8309	123	23	of	of	ADP
ajote-8309	123	24	teaching	teach	VERB
ajote-8309	123	25	multiplication	multiplication	NOUN
ajote-8309	123	26	.	.	PUNCT
ajote-8309	124	1	excerpt	excerpt	NOUN
ajote-8309	125	1	i	i	PRON
ajote-8309	125	2	:	:	PUNCT
ajote-8309	125	3	order	order	NOUN
ajote-8309	125	4	of	of	ADP
ajote-8309	125	5	operations	operation	NOUN
ajote-8309	125	6	in	in	ADP
ajote-8309	125	7	multiplication	multiplication	NOUN
ajote-8309	125	8	.	.	PUNCT
ajote-8309	126	1	line	line	NOUN
ajote-8309	126	2	interlocutor	interlocutor	NOUN
ajote-8309	126	3	speech	speech	NOUN
ajote-8309	126	4	tracing	trace	VERB
ajote-8309	126	5	pre	pre	ADJ
ajote-8309	126	6	-	-	ADJ
ajote-8309	126	7	service	service	ADJ
ajote-8309	126	8	teachers	teacher	NOUN
ajote-8309	126	9	’	’	PART
ajote-8309	126	10	understanding	understanding	NOUN
ajote-8309	126	11	of	of	ADP
ajote-8309	126	12	specialized	specialized	ADJ
ajote-8309	126	13	content	content	NOUN
ajote-8309	126	14	knowledge	knowledge	NOUN
ajote-8309	126	15	for	for	ADP
ajote-8309	126	16	sequencing	sequence	VERB
ajote-8309	126	17	and	and	CCONJ
ajote-8309	126	18	structuring	structure	VERB
ajote-8309	126	19	mathematics	mathematic	NOUN
ajote-8309	126	20	learning	learn	VERB
ajote-8309	126	21	in	in	ADP
ajote-8309	126	22	low	low	ADJ
ajote-8309	126	23	-	-	PUNCT
ajote-8309	126	24	resource	resource	NOUN
ajote-8309	126	25	malawi	malawi	PROPN
ajote-8309	126	26	classrooms	classroom	NOUN
ajote-8309	126	27	ajote	ajote	VERB
ajote-8309	126	28	vol.14	vol.14	NOUN
ajote-8309	126	29	no.2	no.2	PROPN
ajote-8309	126	30	(	(	PUNCT
ajote-8309	126	31	2025	2025	NUM
ajote-8309	126	32	)	)	PUNCT
ajote-8309	126	33	,	,	PUNCT
ajote-8309	126	34	92	92	NUM
ajote-8309	126	35	-	-	SYM
ajote-8309	126	36	116	116	NUM
ajote-8309	126	37	101	101	NUM
ajote-8309	126	38	1	1	NUM
ajote-8309	126	39	researcher	researcher	NOUN
ajote-8309	126	40	:	:	PUNCT
ajote-8309	126	41	okay	okay	INTJ
ajote-8309	126	42	,	,	PUNCT
ajote-8309	126	43	here	here	ADV
ajote-8309	126	44	you	you	PRON
ajote-8309	126	45	are	be	AUX
ajote-8309	126	46	teaching	teach	VERB
ajote-8309	126	47	them	they	PRON
ajote-8309	126	48	how	how	SCONJ
ajote-8309	126	49	to	to	PART
ajote-8309	126	50	multiply	multiply	VERB
ajote-8309	126	51	five	five	NUM
ajote-8309	126	52	by	by	ADP
ajote-8309	126	53	three	three	NUM
ajote-8309	126	54	,	,	PUNCT
ajote-8309	126	55	but	but	CCONJ
ajote-8309	126	56	it	it	PRON
ajote-8309	126	57	seems	seem	VERB
ajote-8309	126	58	that	that	SCONJ
ajote-8309	126	59	you	you	PRON
ajote-8309	126	60	are	be	AUX
ajote-8309	126	61	also	also	ADV
ajote-8309	126	62	teaching	teach	VERB
ajote-8309	126	63	multiplication	multiplication	NOUN
ajote-8309	126	64	of	of	ADP
ajote-8309	126	65	three	three	NUM
ajote-8309	126	66	by	by	ADP
ajote-8309	126	67	five	five	NUM
ajote-8309	126	68	.	.	PUNCT
ajote-8309	126	69	is	be	AUX
ajote-8309	126	70	that	that	PRON
ajote-8309	126	71	right	right	ADJ
ajote-8309	126	72	?	?	PUNCT
ajote-8309	127	1	2	2	NUM
ajote-8309	127	2	denise	denise	NOUN
ajote-8309	127	3	:	:	PUNCT
ajote-8309	127	4	yes	yes	INTJ
ajote-8309	127	5	!	!	PUNCT
ajote-8309	128	1	but	but	CCONJ
ajote-8309	128	2	multiplication	multiplication	NOUN
ajote-8309	128	3	of	of	ADP
ajote-8309	128	4	three	three	NUM
ajote-8309	128	5	by	by	ADP
ajote-8309	128	6	five	five	NUM
ajote-8309	128	7	is	be	AUX
ajote-8309	128	8	at	at	ADP
ajote-8309	128	9	an	an	DET
ajote-8309	128	10	advanced	advanced	ADJ
ajote-8309	128	11	level	level	NOUN
ajote-8309	128	12	!	!	PUNCT
ajote-8309	129	1	in	in	ADP
ajote-8309	129	2	standard	standard	ADJ
ajote-8309	129	3	2	2	NUM
ajote-8309	129	4	,	,	PUNCT
ajote-8309	129	5	we	we	PRON
ajote-8309	129	6	start	start	VERB
ajote-8309	129	7	with	with	ADP
ajote-8309	129	8	small	small	ADJ
ajote-8309	129	9	numbers	number	NOUN
ajote-8309	129	10	first	first	ADV
ajote-8309	129	11	.	.	PUNCT
ajote-8309	130	1	3	3	NUM
ajote-8309	130	2	researcher	researcher	NOUN
ajote-8309	130	3	:	:	PUNCT
ajote-8309	130	4	okay	okay	INTJ
ajote-8309	130	5	,	,	PUNCT
ajote-8309	130	6	but	but	CCONJ
ajote-8309	130	7	somehow	somehow	ADV
ajote-8309	130	8	you	you	PRON
ajote-8309	130	9	are	be	AUX
ajote-8309	130	10	also	also	ADV
ajote-8309	130	11	teaching	teach	VERB
ajote-8309	130	12	multiplication	multiplication	NOUN
ajote-8309	130	13	of	of	ADP
ajote-8309	130	14	numbers	number	NOUN
ajote-8309	130	15	by	by	ADP
ajote-8309	130	16	five	five	NUM
ajote-8309	130	17	,	,	PUNCT
ajote-8309	130	18	are	be	AUX
ajote-8309	130	19	not	not	PART
ajote-8309	130	20	you	you	PRON
ajote-8309	130	21	?	?	PUNCT
ajote-8309	131	1	4	4	NUM
ajote-8309	131	2	denise	denise	PROPN
ajote-8309	131	3	:	:	PUNCT
ajote-8309	131	4	yes	yes	INTJ
ajote-8309	131	5	!	!	PUNCT
ajote-8309	132	1	but	but	CCONJ
ajote-8309	132	2	there	there	PRON
ajote-8309	132	3	is	be	VERB
ajote-8309	132	4	a	a	DET
ajote-8309	132	5	difference	difference	NOUN
ajote-8309	132	6	.	.	PUNCT
ajote-8309	133	1	here	here	ADV
ajote-8309	133	2	,	,	PUNCT
ajote-8309	133	3	this	this	DET
ajote-8309	133	4	one	one	NOUN
ajote-8309	133	5	[	[	X
ajote-8309	133	6	first	first	ADJ
ajote-8309	133	7	column	column	NOUN
ajote-8309	133	8	]	]	PUNCT
ajote-8309	133	9	represents	represent	VERB
ajote-8309	133	10	the	the	DET
ajote-8309	133	11	number	number	NOUN
ajote-8309	133	12	of	of	ADP
ajote-8309	133	13	groups	group	NOUN
ajote-8309	133	14	and	and	CCONJ
ajote-8309	133	15	this	this	DET
ajote-8309	133	16	one	one	NOUN
ajote-8309	133	17	[	[	X
ajote-8309	133	18	second	second	ADJ
ajote-8309	133	19	column	column	NOUN
ajote-8309	133	20	]	]	PUNCT
ajote-8309	133	21	is	be	AUX
ajote-8309	133	22	the	the	DET
ajote-8309	133	23	quantity	quantity	NOUN
ajote-8309	133	24	of	of	ADP
ajote-8309	133	25	objects	object	NOUN
ajote-8309	133	26	in	in	ADP
ajote-8309	133	27	each	each	DET
ajote-8309	133	28	group	group	NOUN
ajote-8309	133	29	.	.	PUNCT
ajote-8309	134	1	5	5	NUM
ajote-8309	134	2	researcher	researcher	NOUN
ajote-8309	134	3	:	:	PUNCT
ajote-8309	134	4	so	so	ADV
ajote-8309	134	5	,	,	PUNCT
ajote-8309	134	6	the	the	DET
ajote-8309	134	7	goal	goal	NOUN
ajote-8309	134	8	is	be	AUX
ajote-8309	134	9	…	…	PUNCT
ajote-8309	134	10	?	?	PROPN
ajote-8309	135	1	6	6	NUM
ajote-8309	135	2	denise	denise	PROPN
ajote-8309	135	3	:	:	PUNCT
ajote-8309	135	4	they	they	PRON
ajote-8309	135	5	have	have	VERB
ajote-8309	135	6	to	to	PART
ajote-8309	135	7	understand	understand	VERB
ajote-8309	135	8	the	the	DET
ajote-8309	135	9	meaning	meaning	NOUN
ajote-8309	135	10	,	,	PUNCT
ajote-8309	135	11	you	you	PRON
ajote-8309	135	12	know	know	VERB
ajote-8309	135	13	…	…	PUNCT
ajote-8309	135	14	the	the	DET
ajote-8309	135	15	numbers	number	NOUN
ajote-8309	135	16	in	in	ADP
ajote-8309	135	17	that	that	DET
ajote-8309	135	18	position	position	NOUN
ajote-8309	135	19	mean	mean	VERB
ajote-8309	135	20	what	what	PRON
ajote-8309	135	21	?	?	PUNCT
ajote-8309	136	1	first	first	ADV
ajote-8309	136	2	,	,	PUNCT
ajote-8309	136	3	they	they	PRON
ajote-8309	136	4	[	[	X
ajote-8309	136	5	the	the	DET
ajote-8309	136	6	learners	learner	NOUN
ajote-8309	136	7	]	]	PUNCT
ajote-8309	136	8	have	have	VERB
ajote-8309	136	9	to	to	PART
ajote-8309	136	10	find	find	VERB
ajote-8309	136	11	the	the	DET
ajote-8309	136	12	number	number	NOUN
ajote-8309	136	13	of	of	ADP
ajote-8309	136	14	groups	group	NOUN
ajote-8309	136	15	,	,	PUNCT
ajote-8309	136	16	and	and	CCONJ
ajote-8309	136	17	then	then	ADV
ajote-8309	136	18	they	they	PRON
ajote-8309	136	19	have	have	VERB
ajote-8309	136	20	to	to	PART
ajote-8309	136	21	find	find	VERB
ajote-8309	136	22	the	the	DET
ajote-8309	136	23	number	number	NOUN
ajote-8309	136	24	of	of	ADP
ajote-8309	136	25	objects	object	NOUN
ajote-8309	136	26	in	in	ADP
ajote-8309	136	27	each	each	DET
ajote-8309	136	28	group	group	NOUN
ajote-8309	136	29	.	.	PUNCT
ajote-8309	137	1	7	7	NUM
ajote-8309	137	2	researcher	researcher	NOUN
ajote-8309	137	3	:	:	PUNCT
ajote-8309	137	4	hum	hum	ADJ
ajote-8309	137	5	…	…	PUNCT
ajote-8309	137	6	is	be	AUX
ajote-8309	137	7	that	that	SCONJ
ajote-8309	137	8	why	why	SCONJ
ajote-8309	137	9	you	you	PRON
ajote-8309	137	10	used	use	VERB
ajote-8309	137	11	the	the	DET
ajote-8309	137	12	same	same	ADJ
ajote-8309	137	13	structure	structure	NOUN
ajote-8309	137	14	throughout	throughout	ADP
ajote-8309	137	15	the	the	DET
ajote-8309	137	16	lesson	lesson	NOUN
ajote-8309	137	17	?	?	PUNCT
ajote-8309	137	18	8	8	NUM
ajote-8309	137	19	denise	denise	PROPN
ajote-8309	137	20	:	:	PUNCT
ajote-8309	137	21	yes	yes	INTJ
ajote-8309	137	22	!	!	PUNCT
ajote-8309	138	1	because	because	SCONJ
ajote-8309	138	2	if	if	SCONJ
ajote-8309	138	3	i	i	PRON
ajote-8309	138	4	change	change	VERB
ajote-8309	138	5	it	it	PRON
ajote-8309	138	6	,	,	PUNCT
ajote-8309	138	7	it	it	PRON
ajote-8309	138	8	will	will	AUX
ajote-8309	138	9	be	be	AUX
ajote-8309	138	10	different	different	ADJ
ajote-8309	138	11	.	.	PUNCT
ajote-8309	139	1	the	the	DET
ajote-8309	139	2	learners	learner	NOUN
ajote-8309	139	3	will	will	AUX
ajote-8309	139	4	be	be	AUX
ajote-8309	139	5	confused	confuse	VERB
ajote-8309	139	6	.	.	PUNCT
ajote-8309	140	1	9	9	NUM
ajote-8309	140	2	researcher	researcher	NOUN
ajote-8309	140	3	:	:	PUNCT
ajote-8309	140	4	but	but	CCONJ
ajote-8309	140	5	they	they	PRON
ajote-8309	140	6	would	would	AUX
ajote-8309	140	7	understand	understand	VERB
ajote-8309	140	8	,	,	PUNCT
ajote-8309	140	9	right	right	ADJ
ajote-8309	140	10	?	?	PUNCT
ajote-8309	141	1	for	for	ADP
ajote-8309	141	2	example	example	NOUN
ajote-8309	141	3	,	,	PUNCT
ajote-8309	141	4	they	they	PRON
ajote-8309	141	5	should	should	AUX
ajote-8309	141	6	be	be	AUX
ajote-8309	141	7	able	able	ADJ
ajote-8309	141	8	to	to	PART
ajote-8309	141	9	solve	solve	VERB
ajote-8309	141	10	three	three	NUM
ajote-8309	141	11	multiplied	multiply	VERB
ajote-8309	141	12	by	by	ADP
ajote-8309	141	13	five	five	NUM
ajote-8309	141	14	.	.	PUNCT
ajote-8309	142	1	everton	everton	PROPN
ajote-8309	142	2	jacinto	jacinto	PROPN
ajote-8309	142	3	,	,	PUNCT
ajote-8309	142	4	arne	arne	ADJ
ajote-8309	142	5	jakobsen	jakobsen	NOUN
ajote-8309	142	6	,	,	PUNCT
ajote-8309	142	7	raymond	raymond	PROPN
ajote-8309	142	8	bjuland	bjuland	PROPN
ajote-8309	142	9	ajote	ajote	PROPN
ajote-8309	142	10	vol.14	vol.14	NOUN
ajote-8309	142	11	no.2	no.2	PROPN
ajote-8309	142	12	(	(	PUNCT
ajote-8309	142	13	2025	2025	NUM
ajote-8309	142	14	)	)	PUNCT
ajote-8309	142	15	,	,	PUNCT
ajote-8309	142	16	92	92	NUM
ajote-8309	142	17	-	-	SYM
ajote-8309	142	18	116	116	NUM
ajote-8309	142	19	102	102	NUM
ajote-8309	142	20	10	10	NUM
ajote-8309	142	21	denise	denise	NOUN
ajote-8309	142	22	:	:	PUNCT
ajote-8309	142	23	hum	hum	ADJ
ajote-8309	142	24	…	…	PUNCT
ajote-8309	142	25	maybe	maybe	ADV
ajote-8309	142	26	!	!	PUNCT
ajote-8309	143	1	but	but	CCONJ
ajote-8309	143	2	i	i	PRON
ajote-8309	143	3	think	think	VERB
ajote-8309	143	4	it	it	PRON
ajote-8309	143	5	will	will	AUX
ajote-8309	143	6	be	be	AUX
ajote-8309	143	7	very	very	ADV
ajote-8309	143	8	difficult	difficult	ADJ
ajote-8309	143	9	for	for	ADP
ajote-8309	143	10	them	they	PRON
ajote-8309	143	11	.	.	PUNCT
ajote-8309	144	1	they	they	PRON
ajote-8309	144	2	are	be	AUX
ajote-8309	144	3	not	not	PART
ajote-8309	144	4	used	use	VERB
ajote-8309	144	5	to	to	ADP
ajote-8309	144	6	such	such	ADJ
ajote-8309	144	7	expressions	expression	NOUN
ajote-8309	144	8	!	!	PUNCT
ajote-8309	145	1	multiplication	multiplication	NOUN
ajote-8309	145	2	is	be	AUX
ajote-8309	145	3	one	one	NUM
ajote-8309	145	4	of	of	ADP
ajote-8309	145	5	the	the	DET
ajote-8309	145	6	four	four	NUM
ajote-8309	145	7	fundamental	fundamental	ADJ
ajote-8309	145	8	arithmetic	arithmetic	ADJ
ajote-8309	145	9	operations	operation	NOUN
ajote-8309	145	10	,	,	PUNCT
ajote-8309	145	11	reflecting	reflect	VERB
ajote-8309	145	12	an	an	DET
ajote-8309	145	13	individual	individual	NOUN
ajote-8309	145	14	’s	’s	PART
ajote-8309	145	15	capacity	capacity	NOUN
ajote-8309	145	16	to	to	PART
ajote-8309	145	17	perform	perform	VERB
ajote-8309	145	18	repeated	repeat	VERB
ajote-8309	145	19	addition	addition	NOUN
ajote-8309	145	20	in	in	ADP
ajote-8309	145	21	a	a	DET
ajote-8309	145	22	group	group	NOUN
ajote-8309	145	23	(	(	PUNCT
ajote-8309	145	24	steffe	steffe	PROPN
ajote-8309	145	25	,	,	PUNCT
ajote-8309	145	26	1994	1994	NUM
ajote-8309	145	27	)	)	PUNCT
ajote-8309	145	28	.	.	PUNCT
ajote-8309	146	1	in	in	ADP
ajote-8309	146	2	denise	denise	PROPN
ajote-8309	146	3	’s	’s	PART
ajote-8309	146	4	lesson	lesson	NOUN
ajote-8309	146	5	,	,	PUNCT
ajote-8309	146	6	however	however	ADV
ajote-8309	146	7	,	,	PUNCT
ajote-8309	146	8	the	the	DET
ajote-8309	146	9	teaching	teaching	NOUN
ajote-8309	146	10	of	of	ADP
ajote-8309	146	11	multiplication	multiplication	NOUN
ajote-8309	146	12	extended	extend	VERB
ajote-8309	146	13	beyond	beyond	ADP
ajote-8309	146	14	the	the	DET
ajote-8309	146	15	mere	mere	ADJ
ajote-8309	146	16	concept	concept	NOUN
ajote-8309	146	17	of	of	ADP
ajote-8309	146	18	joining	join	VERB
ajote-8309	146	19	equal	equal	ADJ
ajote-8309	146	20	quantities	quantity	NOUN
ajote-8309	146	21	;	;	PUNCT
ajote-8309	146	22	it	it	PRON
ajote-8309	146	23	encompassed	encompass	VERB
ajote-8309	146	24	a	a	DET
ajote-8309	146	25	deeper	deep	ADJ
ajote-8309	146	26	conceptual	conceptual	ADJ
ajote-8309	146	27	understanding	understanding	NOUN
ajote-8309	146	28	of	of	ADP
ajote-8309	146	29	the	the	DET
ajote-8309	146	30	principles	principle	NOUN
ajote-8309	146	31	governing	govern	VERB
ajote-8309	146	32	the	the	DET
ajote-8309	146	33	relationship	relationship	NOUN
ajote-8309	146	34	between	between	ADP
ajote-8309	146	35	the	the	DET
ajote-8309	146	36	factors	factor	NOUN
ajote-8309	146	37	in	in	ADP
ajote-8309	146	38	each	each	DET
ajote-8309	146	39	expression	expression	NOUN
ajote-8309	146	40	(	(	PUNCT
ajote-8309	146	41	as	as	SCONJ
ajote-8309	146	42	evidenced	evidence	VERB
ajote-8309	146	43	in	in	ADP
ajote-8309	146	44	lines	line	NOUN
ajote-8309	146	45	4	4	NUM
ajote-8309	146	46	and	and	CCONJ
ajote-8309	146	47	6	6	NUM
ajote-8309	146	48	of	of	ADP
ajote-8309	146	49	excerpt	excerpt	NOUN
ajote-8309	146	50	i	i	NOUN
ajote-8309	146	51	)	)	PUNCT
ajote-8309	146	52	.	.	PUNCT
ajote-8309	147	1	notably	notably	ADV
ajote-8309	147	2	,	,	PUNCT
ajote-8309	147	3	as	as	SCONJ
ajote-8309	147	4	indicated	indicate	VERB
ajote-8309	147	5	in	in	ADP
ajote-8309	147	6	lines	line	NOUN
ajote-8309	147	7	2	2	NUM
ajote-8309	147	8	and	and	CCONJ
ajote-8309	147	9	4	4	NUM
ajote-8309	147	10	,	,	PUNCT
ajote-8309	147	11	denise	denise	PROPN
ajote-8309	147	12	recognizes	recognize	VERB
ajote-8309	147	13	that	that	SCONJ
ajote-8309	147	14	although	although	SCONJ
ajote-8309	147	15	5	5	NUM
ajote-8309	147	16	×	×	NOUN
ajote-8309	147	17	3	3	NUM
ajote-8309	147	18	and	and	CCONJ
ajote-8309	147	19	3	3	NUM
ajote-8309	147	20	×	×	NOUN
ajote-8309	147	21	5	5	NUM
ajote-8309	147	22	yield	yield	VERB
ajote-8309	147	23	the	the	DET
ajote-8309	147	24	same	same	ADJ
ajote-8309	147	25	product	product	NOUN
ajote-8309	147	26	,	,	PUNCT
ajote-8309	147	27	the	the	DET
ajote-8309	147	28	expressions	expression	NOUN
ajote-8309	147	29	may	may	AUX
ajote-8309	147	30	be	be	AUX
ajote-8309	147	31	interpreted	interpret	VERB
ajote-8309	147	32	differently	differently	ADV
ajote-8309	147	33	.	.	PUNCT
ajote-8309	148	1	her	her	PRON
ajote-8309	148	2	instructional	instructional	ADJ
ajote-8309	148	3	strategy	strategy	NOUN
ajote-8309	148	4	posits	posit	NOUN
ajote-8309	148	5	that	that	SCONJ
ajote-8309	148	6	the	the	DET
ajote-8309	148	7	first	first	ADJ
ajote-8309	148	8	factor	factor	NOUN
ajote-8309	148	9	represents	represent	VERB
ajote-8309	148	10	the	the	DET
ajote-8309	148	11	number	number	NOUN
ajote-8309	148	12	of	of	ADP
ajote-8309	148	13	groups	group	NOUN
ajote-8309	148	14	,	,	PUNCT
ajote-8309	148	15	whereas	whereas	SCONJ
ajote-8309	148	16	the	the	DET
ajote-8309	148	17	second	second	ADJ
ajote-8309	148	18	denotes	denote	VERB
ajote-8309	148	19	the	the	DET
ajote-8309	148	20	number	number	NOUN
ajote-8309	148	21	of	of	ADP
ajote-8309	148	22	units	unit	NOUN
ajote-8309	148	23	within	within	ADP
ajote-8309	148	24	each	each	DET
ajote-8309	148	25	group	group	NOUN
ajote-8309	148	26	.	.	PUNCT
ajote-8309	149	1	consequently	consequently	ADV
ajote-8309	149	2	,	,	PUNCT
ajote-8309	149	3	she	she	PRON
ajote-8309	149	4	contends	contend	VERB
ajote-8309	149	5	that	that	SCONJ
ajote-8309	149	6	3	3	NUM
ajote-8309	149	7	×	×	NOUN
ajote-8309	149	8	5	5	NUM
ajote-8309	149	9	is	be	AUX
ajote-8309	149	10	an	an	DET
ajote-8309	149	11	unsuitable	unsuitable	ADJ
ajote-8309	149	12	expression	expression	NOUN
ajote-8309	149	13	for	for	ADP
ajote-8309	149	14	standard	standard	ADJ
ajote-8309	149	15	2	2	NUM
ajote-8309	149	16	learners	learner	NOUN
ajote-8309	149	17	in	in	ADP
ajote-8309	149	18	malawi	malawi	PROPN
ajote-8309	149	19	,	,	PUNCT
ajote-8309	149	20	as	as	SCONJ
ajote-8309	149	21	it	it	PRON
ajote-8309	149	22	requires	require	VERB
ajote-8309	149	23	working	work	VERB
ajote-8309	149	24	with	with	ADP
ajote-8309	149	25	larger	large	ADJ
ajote-8309	149	26	numbers	number	NOUN
ajote-8309	149	27	(	(	PUNCT
ajote-8309	149	28	as	as	SCONJ
ajote-8309	149	29	reflected	reflect	VERB
ajote-8309	149	30	in	in	ADP
ajote-8309	149	31	utterances	utterance	NOUN
ajote-8309	149	32	2	2	NUM
ajote-8309	149	33	,	,	PUNCT
ajote-8309	149	34	8	8	NUM
ajote-8309	149	35	,	,	PUNCT
ajote-8309	149	36	and	and	CCONJ
ajote-8309	149	37	10	10	NUM
ajote-8309	149	38	)	)	PUNCT
ajote-8309	149	39	.	.	PUNCT
ajote-8309	150	1	excerpt	excerpt	NOUN
ajote-8309	150	2	i	i	PRON
ajote-8309	150	3	further	far	ADV
ajote-8309	150	4	illustrates	illustrate	VERB
ajote-8309	150	5	how	how	SCONJ
ajote-8309	150	6	the	the	DET
ajote-8309	150	7	multiplicand	multiplicand	ADJ
ajote-8309	150	8	and	and	CCONJ
ajote-8309	150	9	multiplier	multipli	ADJ
ajote-8309	150	10	roles	role	NOUN
ajote-8309	150	11	significantly	significantly	ADV
ajote-8309	150	12	inform	inform	VERB
ajote-8309	150	13	denise	denise	PROPN
ajote-8309	150	14	’s	’s	PART
ajote-8309	150	15	approach	approach	NOUN
ajote-8309	150	16	to	to	ADP
ajote-8309	150	17	teaching	teach	VERB
ajote-8309	150	18	multiplication	multiplication	NOUN
ajote-8309	150	19	by	by	ADP
ajote-8309	150	20	3	3	NUM
ajote-8309	150	21	in	in	ADP
ajote-8309	150	22	standard	standard	ADJ
ajote-8309	150	23	2	2	NUM
ajote-8309	150	24	.	.	PUNCT
ajote-8309	151	1	denise	denise	PROPN
ajote-8309	151	2	acknowledges	acknowledge	VERB
ajote-8309	151	3	that	that	SCONJ
ajote-8309	151	4	teachers	teacher	NOUN
ajote-8309	151	5	must	must	AUX
ajote-8309	151	6	understand	understand	VERB
ajote-8309	151	7	the	the	DET
ajote-8309	151	8	commutative	commutative	ADJ
ajote-8309	151	9	property	property	NOUN
ajote-8309	151	10	of	of	ADP
ajote-8309	151	11	multiplication	multiplication	NOUN
ajote-8309	151	12	to	to	PART
ajote-8309	151	13	implement	implement	VERB
ajote-8309	151	14	this	this	DET
ajote-8309	151	15	approach	approach	NOUN
ajote-8309	151	16	effectively	effectively	ADV
ajote-8309	151	17	;	;	PUNCT
ajote-8309	151	18	however	however	ADV
ajote-8309	151	19	,	,	PUNCT
ajote-8309	151	20	she	she	PRON
ajote-8309	151	21	argues	argue	VERB
ajote-8309	151	22	that	that	SCONJ
ajote-8309	151	23	this	this	DET
ajote-8309	151	24	property	property	NOUN
ajote-8309	151	25	need	need	AUX
ajote-8309	151	26	not	not	PART
ajote-8309	151	27	be	be	AUX
ajote-8309	151	28	explicitly	explicitly	ADV
ajote-8309	151	29	taught	teach	VERB
ajote-8309	151	30	to	to	ADP
ajote-8309	151	31	students	student	NOUN
ajote-8309	151	32	.	.	PUNCT
ajote-8309	152	1	this	this	DET
ajote-8309	152	2	stance	stance	NOUN
ajote-8309	152	3	reveals	reveal	VERB
ajote-8309	152	4	a	a	DET
ajote-8309	152	5	potential	potential	ADJ
ajote-8309	152	6	inconsistency	inconsistency	NOUN
ajote-8309	152	7	concerning	concern	VERB
ajote-8309	152	8	the	the	DET
ajote-8309	152	9	purpose	purpose	NOUN
ajote-8309	152	10	of	of	ADP
ajote-8309	152	11	teachers	teacher	NOUN
ajote-8309	152	12	’	'	PUNCT
ajote-8309	152	13	mathematical	mathematical	ADJ
ajote-8309	152	14	knowledge	knowledge	NOUN
ajote-8309	152	15	,	,	PUNCT
ajote-8309	152	16	given	give	VERB
ajote-8309	152	17	that	that	SCONJ
ajote-8309	152	18	such	such	ADJ
ajote-8309	152	19	knowledge	knowledge	NOUN
ajote-8309	152	20	is	be	AUX
ajote-8309	152	21	not	not	PART
ajote-8309	152	22	translated	translate	VERB
ajote-8309	152	23	into	into	ADP
ajote-8309	152	24	classroom	classroom	NOUN
ajote-8309	152	25	practices	practice	NOUN
ajote-8309	152	26	.	.	PUNCT
ajote-8309	153	1	it	it	PRON
ajote-8309	153	2	is	be	AUX
ajote-8309	153	3	important	important	ADJ
ajote-8309	153	4	to	to	PART
ajote-8309	153	5	note	note	VERB
ajote-8309	153	6	that	that	SCONJ
ajote-8309	153	7	the	the	DET
ajote-8309	153	8	malawian	malawian	ADJ
ajote-8309	153	9	primary	primary	ADJ
ajote-8309	153	10	school	school	NOUN
ajote-8309	153	11	teachers	teacher	NOUN
ajote-8309	153	12	’	'	PUNCT
ajote-8309	153	13	guide	guide	NOUN
ajote-8309	153	14	does	do	AUX
ajote-8309	153	15	not	not	PART
ajote-8309	153	16	include	include	VERB
ajote-8309	153	17	the	the	DET
ajote-8309	153	18	commutative	commutative	ADJ
ajote-8309	153	19	property	property	NOUN
ajote-8309	153	20	as	as	ADP
ajote-8309	153	21	a	a	DET
ajote-8309	153	22	formal	formal	ADJ
ajote-8309	153	23	lesson	lesson	NOUN
ajote-8309	153	24	topic	topic	NOUN
ajote-8309	153	25	.	.	PUNCT
ajote-8309	154	1	instead	instead	ADV
ajote-8309	154	2	,	,	PUNCT
ajote-8309	154	3	teachers	teacher	NOUN
ajote-8309	154	4	and	and	CCONJ
ajote-8309	154	5	pre	pre	ADJ
ajote-8309	154	6	-	-	ADJ
ajote-8309	154	7	service	service	ADJ
ajote-8309	154	8	teachers	teacher	NOUN
ajote-8309	154	9	are	be	AUX
ajote-8309	154	10	encouraged	encourage	VERB
ajote-8309	154	11	to	to	PART
ajote-8309	154	12	introduce	introduce	VERB
ajote-8309	154	13	multiplication	multiplication	NOUN
ajote-8309	154	14	concepts	concept	NOUN
ajote-8309	154	15	progressively	progressively	ADV
ajote-8309	154	16	(	(	PUNCT
ajote-8309	154	17	malawi	malawi	PROPN
ajote-8309	154	18	institute	institute	PROPN
ajote-8309	154	19	of	of	ADP
ajote-8309	154	20	education	education	PROPN
ajote-8309	154	21	,	,	PUNCT
ajote-8309	154	22	2007	2007	NUM
ajote-8309	154	23	)	)	PUNCT
ajote-8309	154	24	.	.	PUNCT
ajote-8309	155	1	for	for	ADP
ajote-8309	155	2	instance	instance	NOUN
ajote-8309	155	3	,	,	PUNCT
ajote-8309	155	4	children	child	NOUN
ajote-8309	155	5	in	in	ADP
ajote-8309	155	6	standard	standard	ADJ
ajote-8309	155	7	2	2	NUM
ajote-8309	155	8	are	be	AUX
ajote-8309	155	9	expected	expect	VERB
ajote-8309	155	10	to	to	PART
ajote-8309	155	11	learn	learn	VERB
ajote-8309	155	12	multiplication	multiplication	NOUN
ajote-8309	155	13	by	by	ADP
ajote-8309	155	14	2	2	NUM
ajote-8309	155	15	and	and	CCONJ
ajote-8309	155	16	3	3	NUM
ajote-8309	155	17	,	,	PUNCT
ajote-8309	155	18	while	while	SCONJ
ajote-8309	155	19	standards	standard	NOUN
ajote-8309	155	20	3	3	NUM
ajote-8309	155	21	and	and	CCONJ
ajote-8309	155	22	4	4	NUM
ajote-8309	155	23	focus	focus	NOUN
ajote-8309	155	24	on	on	ADP
ajote-8309	155	25	multiplication	multiplication	NOUN
ajote-8309	155	26	by	by	ADP
ajote-8309	155	27	4	4	NUM
ajote-8309	155	28	,	,	PUNCT
ajote-8309	155	29	5	5	NUM
ajote-8309	155	30	,	,	PUNCT
ajote-8309	155	31	and	and	CCONJ
ajote-8309	155	32	6	6	NUM
ajote-8309	155	33	,	,	PUNCT
ajote-8309	155	34	and	and	CCONJ
ajote-8309	155	35	subsequently	subsequently	ADV
ajote-8309	155	36	by	by	ADP
ajote-8309	155	37	7	7	NUM
ajote-8309	155	38	,	,	PUNCT
ajote-8309	155	39	8	8	NUM
ajote-8309	155	40	,	,	PUNCT
ajote-8309	155	41	9	9	NUM
ajote-8309	155	42	,	,	PUNCT
ajote-8309	155	43	and	and	CCONJ
ajote-8309	155	44	10	10	NUM
ajote-8309	155	45	.	.	PUNCT
ajote-8309	156	1	this	this	DET
ajote-8309	156	2	sequential	sequential	ADJ
ajote-8309	156	3	approach	approach	NOUN
ajote-8309	156	4	results	result	NOUN
ajote-8309	156	5	in	in	ADP
ajote-8309	156	6	children	child	NOUN
ajote-8309	156	7	learning	learn	VERB
ajote-8309	156	8	to	to	PART
ajote-8309	156	9	compute	compute	VERB
ajote-8309	156	10	7	7	NUM
ajote-8309	156	11	×	×	NOUN
ajote-8309	156	12	3	3	NUM
ajote-8309	156	13	in	in	ADP
ajote-8309	156	14	standard	standard	ADJ
ajote-8309	156	15	2	2	NUM
ajote-8309	156	16	but	but	CCONJ
ajote-8309	156	17	encountering	encounter	VERB
ajote-8309	156	18	3	3	NUM
ajote-8309	156	19	×	×	NOUN
ajote-8309	156	20	7	7	NUM
ajote-8309	156	21	only	only	ADV
ajote-8309	156	22	in	in	ADP
ajote-8309	156	23	standard	standard	ADJ
ajote-8309	156	24	4	4	NUM
ajote-8309	156	25	.	.	PUNCT
ajote-8309	157	1	the	the	DET
ajote-8309	157	2	principle	principle	NOUN
ajote-8309	157	3	of	of	ADP
ajote-8309	157	4	ordering	order	VERB
ajote-8309	157	5	factors	factor	NOUN
ajote-8309	157	6	based	base	VERB
ajote-8309	157	7	on	on	ADP
ajote-8309	157	8	the	the	DET
ajote-8309	157	9	positional	positional	ADJ
ajote-8309	157	10	meaning	meaning	NOUN
ajote-8309	157	11	of	of	ADP
ajote-8309	157	12	each	each	DET
ajote-8309	157	13	factor	factor	NOUN
ajote-8309	157	14	is	be	AUX
ajote-8309	157	15	consistently	consistently	ADV
ajote-8309	157	16	applied	apply	VERB
ajote-8309	157	17	throughout	throughout	ADP
ajote-8309	157	18	all	all	DET
ajote-8309	157	19	primary	primary	ADJ
ajote-8309	157	20	school	school	NOUN
ajote-8309	157	21	standards	standard	NOUN
ajote-8309	157	22	in	in	ADP
ajote-8309	157	23	the	the	DET
ajote-8309	157	24	country	country	NOUN
ajote-8309	157	25	.	.	PUNCT
ajote-8309	158	1	this	this	DET
ajote-8309	158	2	pedagogical	pedagogical	ADJ
ajote-8309	158	3	perspective	perspective	NOUN
ajote-8309	158	4	offers	offer	VERB
ajote-8309	158	5	insights	insight	NOUN
ajote-8309	158	6	into	into	ADP
ajote-8309	158	7	denise	denise	PROPN
ajote-8309	158	8	’s	’s	PROPN
ajote-8309	158	9	sck	sck	PROPN
ajote-8309	158	10	,	,	PUNCT
ajote-8309	158	11	particularly	particularly	ADV
ajote-8309	158	12	her	her	PRON
ajote-8309	158	13	understanding	understanding	NOUN
ajote-8309	158	14	of	of	ADP
ajote-8309	158	15	how	how	SCONJ
ajote-8309	158	16	to	to	PART
ajote-8309	158	17	sequence	sequence	NOUN
ajote-8309	158	18	multiplication	multiplication	NOUN
ajote-8309	158	19	activities	activity	NOUN
ajote-8309	158	20	according	accord	VERB
ajote-8309	158	21	to	to	ADP
ajote-8309	158	22	students	student	NOUN
ajote-8309	158	23	’	'	PUNCT
ajote-8309	158	24	academic	academic	ADJ
ajote-8309	158	25	readiness	readiness	NOUN
ajote-8309	158	26	.	.	PUNCT
ajote-8309	159	1	denise	denise	PROPN
ajote-8309	159	2	’s	’s	PART
ajote-8309	159	3	awareness	awareness	NOUN
ajote-8309	159	4	of	of	ADP
ajote-8309	159	5	students	student	NOUN
ajote-8309	159	6	’	’	PART
ajote-8309	159	7	capabilities	capability	NOUN
ajote-8309	159	8	serves	serve	VERB
ajote-8309	159	9	as	as	ADP
ajote-8309	159	10	a	a	DET
ajote-8309	159	11	justification	justification	NOUN
ajote-8309	159	12	for	for	ADP
ajote-8309	159	13	her	her	PRON
ajote-8309	159	14	choice	choice	NOUN
ajote-8309	159	15	of	of	ADP
ajote-8309	159	16	representations	representation	NOUN
ajote-8309	159	17	and	and	CCONJ
ajote-8309	159	18	explanations	explanation	NOUN
ajote-8309	159	19	during	during	ADP
ajote-8309	159	20	the	the	DET
ajote-8309	159	21	lesson	lesson	NOUN
ajote-8309	159	22	.	.	PUNCT
ajote-8309	160	1	her	her	PRON
ajote-8309	160	2	objective	objective	NOUN
ajote-8309	160	3	was	be	AUX
ajote-8309	160	4	not	not	PART
ajote-8309	160	5	merely	merely	ADV
ajote-8309	160	6	to	to	PART
ajote-8309	160	7	teach	teach	VERB
ajote-8309	160	8	a	a	DET
ajote-8309	160	9	tracing	trace	VERB
ajote-8309	160	10	pre	pre	ADJ
ajote-8309	160	11	-	-	ADJ
ajote-8309	160	12	service	service	ADJ
ajote-8309	160	13	teachers	teacher	NOUN
ajote-8309	160	14	’	’	PART
ajote-8309	160	15	understanding	understanding	NOUN
ajote-8309	160	16	of	of	ADP
ajote-8309	160	17	specialized	specialized	ADJ
ajote-8309	160	18	content	content	NOUN
ajote-8309	160	19	knowledge	knowledge	NOUN
ajote-8309	160	20	for	for	ADP
ajote-8309	160	21	sequencing	sequence	VERB
ajote-8309	160	22	and	and	CCONJ
ajote-8309	160	23	structuring	structure	VERB
ajote-8309	160	24	mathematics	mathematic	NOUN
ajote-8309	160	25	learning	learn	VERB
ajote-8309	160	26	in	in	ADP
ajote-8309	160	27	low	low	ADJ
ajote-8309	160	28	-	-	PUNCT
ajote-8309	160	29	resource	resource	NOUN
ajote-8309	160	30	malawi	malawi	PROPN
ajote-8309	160	31	classrooms	classroom	NOUN
ajote-8309	160	32	ajote	ajote	VERB
ajote-8309	160	33	vol.14	vol.14	NOUN
ajote-8309	160	34	no.2	no.2	PROPN
ajote-8309	160	35	(	(	PUNCT
ajote-8309	160	36	2025	2025	NUM
ajote-8309	160	37	)	)	PUNCT
ajote-8309	160	38	,	,	PUNCT
ajote-8309	160	39	92	92	NUM
ajote-8309	160	40	-	-	SYM
ajote-8309	160	41	116	116	NUM
ajote-8309	160	42	103	103	NUM
ajote-8309	160	43	method	method	NOUN
ajote-8309	160	44	for	for	ADP
ajote-8309	160	45	solving	solve	VERB
ajote-8309	160	46	multiplication	multiplication	NOUN
ajote-8309	160	47	problems	problem	NOUN
ajote-8309	160	48	but	but	CCONJ
ajote-8309	160	49	to	to	PART
ajote-8309	160	50	foster	foster	VERB
ajote-8309	160	51	a	a	DET
ajote-8309	160	52	conceptual	conceptual	ADJ
ajote-8309	160	53	understanding	understanding	NOUN
ajote-8309	160	54	of	of	ADP
ajote-8309	160	55	multiplication	multiplication	NOUN
ajote-8309	160	56	.	.	PUNCT
ajote-8309	161	1	this	this	DET
ajote-8309	161	2	instructional	instructional	ADJ
ajote-8309	161	3	approach	approach	NOUN
ajote-8309	161	4	exemplifies	exemplify	VERB
ajote-8309	161	5	her	her	PRON
ajote-8309	161	6	practical	practical	ADJ
ajote-8309	161	7	application	application	NOUN
ajote-8309	161	8	of	of	ADP
ajote-8309	161	9	sck	sck	PROPN
ajote-8309	161	10	in	in	ADP
ajote-8309	161	11	the	the	DET
ajote-8309	161	12	classroom	classroom	NOUN
ajote-8309	161	13	.	.	PUNCT
ajote-8309	162	1	phillip	phillip	PROPN
ajote-8309	162	2	et	et	PROPN
ajote-8309	162	3	al	al	PROPN
ajote-8309	162	4	.	.	PUNCT
ajote-8309	163	1	(	(	PUNCT
ajote-8309	163	2	2007	2007	NUM
ajote-8309	163	3	)	)	PUNCT
ajote-8309	163	4	support	support	NOUN
ajote-8309	163	5	this	this	DET
ajote-8309	163	6	view	view	NOUN
ajote-8309	163	7	,	,	PUNCT
ajote-8309	163	8	emphasizing	emphasize	VERB
ajote-8309	163	9	that	that	DET
ajote-8309	163	10	knowledge	knowledge	NOUN
ajote-8309	163	11	of	of	ADP
ajote-8309	163	12	content	content	NOUN
ajote-8309	163	13	combined	combine	VERB
ajote-8309	163	14	with	with	ADP
ajote-8309	163	15	knowledge	knowledge	NOUN
ajote-8309	163	16	of	of	ADP
ajote-8309	163	17	students	student	NOUN
ajote-8309	163	18	enhances	enhance	VERB
ajote-8309	163	19	understanding	understanding	NOUN
ajote-8309	163	20	of	of	ADP
ajote-8309	163	21	what	what	PRON
ajote-8309	163	22	constitutes	constitute	VERB
ajote-8309	163	23	sck	sck	PROPN
ajote-8309	163	24	.	.	PUNCT
ajote-8309	164	1	similarly	similarly	ADV
ajote-8309	164	2	,	,	PUNCT
ajote-8309	164	3	thanheiser	thanheiser	PROPN
ajote-8309	164	4	et	et	PROPN
ajote-8309	164	5	al	al	PROPN
ajote-8309	164	6	.	.	PROPN
ajote-8309	165	1	(	(	PUNCT
ajote-8309	165	2	2010	2010	NUM
ajote-8309	165	3	)	)	PUNCT
ajote-8309	165	4	assert	assert	VERB
ajote-8309	165	5	that	that	SCONJ
ajote-8309	165	6	“	"	PUNCT
ajote-8309	165	7	connecting	connect	VERB
ajote-8309	165	8	children	child	NOUN
ajote-8309	165	9	’s	’s	PART
ajote-8309	165	10	thinking	thinking	NOUN
ajote-8309	165	11	and	and	CCONJ
ajote-8309	165	12	the	the	DET
ajote-8309	165	13	elementary	elementary	ADJ
ajote-8309	165	14	mathematics	mathematics	PROPN
ajote-8309	165	15	curriculum	curriculum	NOUN
ajote-8309	165	16	is	be	AUX
ajote-8309	165	17	also	also	ADV
ajote-8309	165	18	a	a	DET
ajote-8309	165	19	constituent	constituent	NOUN
ajote-8309	165	20	of	of	ADP
ajote-8309	165	21	teachers	teacher	NOUN
ajote-8309	165	22	’	’	PART
ajote-8309	165	23	specialized	specialized	ADJ
ajote-8309	165	24	content	content	NOUN
ajote-8309	165	25	knowledge	knowledge	NOUN
ajote-8309	165	26	”	"	PUNCT
ajote-8309	165	27	(	(	PUNCT
ajote-8309	165	28	p.	p.	NOUN
ajote-8309	165	29	12	12	NUM
ajote-8309	165	30	)	)	PUNCT
ajote-8309	165	31	.	.	PUNCT
ajote-8309	166	1	the	the	DET
ajote-8309	166	2	following	follow	VERB
ajote-8309	166	3	excerpt	excerpt	NOUN
ajote-8309	166	4	illustrates	illustrate	VERB
ajote-8309	166	5	how	how	SCONJ
ajote-8309	166	6	denise	denise	PROPN
ajote-8309	166	7	acknowledges	acknowledge	VERB
ajote-8309	166	8	this	this	DET
ajote-8309	166	9	instructional	instructional	ADJ
ajote-8309	166	10	approach	approach	NOUN
ajote-8309	166	11	to	to	ADP
ajote-8309	166	12	multiplication	multiplication	NOUN
ajote-8309	166	13	and	and	CCONJ
ajote-8309	166	14	its	its	PRON
ajote-8309	166	15	implications	implication	NOUN
ajote-8309	166	16	for	for	ADP
ajote-8309	166	17	students	student	NOUN
ajote-8309	166	18	’	'	PUNCT
ajote-8309	166	19	learning	learning	NOUN
ajote-8309	166	20	.	.	PUNCT
ajote-8309	167	1	the	the	DET
ajote-8309	167	2	session	session	NOUN
ajote-8309	167	3	began	begin	VERB
ajote-8309	167	4	by	by	ADP
ajote-8309	167	5	asking	ask	VERB
ajote-8309	167	6	her	she	PRON
ajote-8309	167	7	about	about	ADP
ajote-8309	167	8	the	the	DET
ajote-8309	167	9	didactic	didactic	ADJ
ajote-8309	167	10	resources	resource	NOUN
ajote-8309	167	11	she	she	PRON
ajote-8309	167	12	employed	employ	VERB
ajote-8309	167	13	during	during	ADP
ajote-8309	167	14	the	the	DET
ajote-8309	167	15	lesson	lesson	NOUN
ajote-8309	167	16	.	.	PUNCT
ajote-8309	168	1	excerpt	excerpt	PROPN
ajote-8309	168	2	ii	ii	PROPN
ajote-8309	168	3	:	:	PUNCT
ajote-8309	168	4	sequencing	sequence	VERB
ajote-8309	168	5	and	and	CCONJ
ajote-8309	168	6	structuring	structuring	NOUN
ajote-8309	168	7	students	student	NOUN
ajote-8309	168	8	’	'	PUNCT
ajote-8309	168	9	learning	learning	NOUN
ajote-8309	168	10	of	of	ADP
ajote-8309	168	11	multiplication	multiplication	NOUN
ajote-8309	168	12	.	.	PUNCT
ajote-8309	169	1	line	line	NOUN
ajote-8309	169	2	interlocutor	interlocutor	NOUN
ajote-8309	169	3	speech	speech	NOUN
ajote-8309	169	4	1	1	NUM
ajote-8309	169	5	researcher	researcher	NOUN
ajote-8309	169	6	:	:	PUNCT
ajote-8309	169	7	so	so	ADV
ajote-8309	169	8	,	,	PUNCT
ajote-8309	169	9	you	you	PRON
ajote-8309	169	10	used	use	VERB
ajote-8309	169	11	sticks	stick	NOUN
ajote-8309	169	12	in	in	ADP
ajote-8309	169	13	this	this	DET
ajote-8309	169	14	lesson	lesson	NOUN
ajote-8309	169	15	,	,	PUNCT
ajote-8309	169	16	right	right	ADJ
ajote-8309	169	17	?	?	PUNCT
ajote-8309	170	1	2	2	NUM
ajote-8309	170	2	denise	denise	NOUN
ajote-8309	170	3	:	:	PUNCT
ajote-8309	170	4	yes	yes	INTJ
ajote-8309	170	5	!	!	PUNCT
ajote-8309	171	1	i	i	PRON
ajote-8309	171	2	used	use	VERB
ajote-8309	171	3	sticks	stick	NOUN
ajote-8309	171	4	in	in	ADP
ajote-8309	171	5	this	this	DET
ajote-8309	171	6	lesson	lesson	NOUN
ajote-8309	171	7	!	!	PUNCT
ajote-8309	172	1	3	3	NUM
ajote-8309	172	2	researcher	researcher	NOUN
ajote-8309	172	3	:	:	PUNCT
ajote-8309	172	4	why	why	SCONJ
ajote-8309	172	5	sticks	stick	NOUN
ajote-8309	172	6	?	?	PUNCT
ajote-8309	173	1	4	4	NUM
ajote-8309	173	2	denise	denise	PROPN
ajote-8309	173	3	:	:	PUNCT
ajote-8309	173	4	well	well	INTJ
ajote-8309	173	5	,	,	PUNCT
ajote-8309	173	6	this	this	PRON
ajote-8309	173	7	is	be	AUX
ajote-8309	173	8	what	what	PRON
ajote-8309	173	9	the	the	DET
ajote-8309	173	10	textbook	textbook	NOUN
ajote-8309	173	11	suggested	suggest	VERB
ajote-8309	173	12	!	!	PUNCT
ajote-8309	174	1	…	…	PUNCT
ajote-8309	174	2	but	but	CCONJ
ajote-8309	174	3	,	,	PUNCT
ajote-8309	174	4	for	for	ADP
ajote-8309	174	5	example	example	NOUN
ajote-8309	174	6	,	,	PUNCT
ajote-8309	174	7	last	last	ADJ
ajote-8309	174	8	week	week	NOUN
ajote-8309	174	9	,	,	PUNCT
ajote-8309	174	10	i	i	PRON
ajote-8309	174	11	was	be	AUX
ajote-8309	174	12	teaching	teach	VERB
ajote-8309	174	13	multiplication	multiplication	NOUN
ajote-8309	174	14	of	of	ADP
ajote-8309	174	15	numbers	number	NOUN
ajote-8309	174	16	by	by	ADP
ajote-8309	174	17	two	two	NUM
ajote-8309	174	18	,	,	PUNCT
ajote-8309	174	19	so	so	CCONJ
ajote-8309	174	20	i	i	PRON
ajote-8309	174	21	was	be	AUX
ajote-8309	174	22	using	use	VERB
ajote-8309	174	23	shoes	shoe	NOUN
ajote-8309	174	24	,	,	PUNCT
ajote-8309	174	25	because	because	SCONJ
ajote-8309	174	26	these	these	DET
ajote-8309	174	27	objects	object	NOUN
ajote-8309	174	28	come	come	VERB
ajote-8309	174	29	in	in	ADP
ajote-8309	174	30	twos	two	NOUN
ajote-8309	174	31	.	.	PUNCT
ajote-8309	175	1	i	i	PRON
ajote-8309	175	2	was	be	AUX
ajote-8309	175	3	using	use	VERB
ajote-8309	175	4	shoes	shoe	NOUN
ajote-8309	175	5	,	,	PUNCT
ajote-8309	175	6	ears	ear	NOUN
ajote-8309	175	7	,	,	PUNCT
ajote-8309	175	8	eyes	eye	NOUN
ajote-8309	175	9	,	,	PUNCT
ajote-8309	175	10	hands	hand	NOUN
ajote-8309	175	11	…	…	PUNCT
ajote-8309	175	12	.	.	PUNCT
ajote-8309	176	1	so	so	SCONJ
ajote-8309	176	2	that	that	SCONJ
ajote-8309	176	3	students	student	NOUN
ajote-8309	176	4	can	can	AUX
ajote-8309	176	5	be	be	AUX
ajote-8309	176	6	familiar	familiar	ADJ
ajote-8309	176	7	with	with	ADP
ajote-8309	176	8	that	that	DET
ajote-8309	176	9	concept	concept	NOUN
ajote-8309	176	10	and	and	CCONJ
ajote-8309	176	11	can	can	AUX
ajote-8309	176	12	apply	apply	VERB
ajote-8309	176	13	it	it	PRON
ajote-8309	176	14	in	in	ADP
ajote-8309	176	15	everyday	everyday	ADJ
ajote-8309	176	16	life	life	NOUN
ajote-8309	176	17	.	.	PUNCT
ajote-8309	177	1	i	i	PRON
ajote-8309	177	2	wanted	want	VERB
ajote-8309	177	3	to	to	PART
ajote-8309	177	4	make	make	VERB
ajote-8309	177	5	them	they	PRON
ajote-8309	177	6	curious	curious	ADJ
ajote-8309	177	7	and	and	CCONJ
ajote-8309	177	8	motivate	motivate	VERB
ajote-8309	177	9	them	they	PRON
ajote-8309	177	10	to	to	PART
ajote-8309	177	11	find	find	VERB
ajote-8309	177	12	objects	object	NOUN
ajote-8309	177	13	that	that	PRON
ajote-8309	177	14	exist	exist	VERB
ajote-8309	177	15	in	in	ADP
ajote-8309	177	16	pairs	pair	NOUN
ajote-8309	177	17	.	.	PUNCT
ajote-8309	178	1	now	now	ADV
ajote-8309	178	2	,	,	PUNCT
ajote-8309	178	3	for	for	ADP
ajote-8309	178	4	three	three	NUM
ajote-8309	178	5	objects	object	NOUN
ajote-8309	178	6	,	,	PUNCT
ajote-8309	178	7	it	it	PRON
ajote-8309	178	8	is	be	AUX
ajote-8309	178	9	more	more	ADV
ajote-8309	178	10	difficult	difficult	ADJ
ajote-8309	178	11	,	,	PUNCT
ajote-8309	178	12	because	because	SCONJ
ajote-8309	178	13	practical	practical	ADJ
ajote-8309	178	14	examples	example	NOUN
ajote-8309	178	15	are	be	AUX
ajote-8309	178	16	not	not	PART
ajote-8309	178	17	locally	locally	ADV
ajote-8309	178	18	available	available	ADJ
ajote-8309	178	19	.	.	PUNCT
ajote-8309	179	1	so	so	ADV
ajote-8309	179	2	,	,	PUNCT
ajote-8309	179	3	today	today	NOUN
ajote-8309	179	4	i	i	PRON
ajote-8309	179	5	used	use	VERB
ajote-8309	179	6	stones	stone	NOUN
ajote-8309	179	7	and	and	CCONJ
ajote-8309	179	8	sticks	stick	NOUN
ajote-8309	179	9	because	because	SCONJ
ajote-8309	179	10	they	they	PRON
ajote-8309	179	11	are	be	AUX
ajote-8309	179	12	more	more	ADV
ajote-8309	179	13	or	or	CCONJ
ajote-8309	179	14	less	less	ADV
ajote-8309	179	15	similar	similar	ADJ
ajote-8309	179	16	.	.	PUNCT
ajote-8309	180	1	i	i	PRON
ajote-8309	180	2	asked	ask	VERB
ajote-8309	180	3	the	the	DET
ajote-8309	180	4	learners	learner	NOUN
ajote-8309	180	5	to	to	PART
ajote-8309	180	6	pack	pack	VERB
ajote-8309	180	7	them	they	PRON
ajote-8309	180	8	in	in	ADP
ajote-8309	180	9	threes	three	NOUN
ajote-8309	180	10	,	,	PUNCT
ajote-8309	180	11	and	and	CCONJ
ajote-8309	180	12	them	they	PRON
ajote-8309	180	13	use	use	VERB
ajote-8309	180	14	those	those	DET
ajote-8309	180	15	packs	pack	NOUN
ajote-8309	180	16	to	to	PART
ajote-8309	180	17	solve	solve	VERB
ajote-8309	180	18	the	the	DET
ajote-8309	180	19	problems	problem	NOUN
ajote-8309	180	20	.	.	PUNCT
ajote-8309	181	1	5	5	NUM
ajote-8309	181	2	researcher	researcher	NOUN
ajote-8309	181	3	:	:	PUNCT
ajote-8309	181	4	what	what	PRON
ajote-8309	181	5	about	about	ADP
ajote-8309	181	6	in	in	ADP
ajote-8309	181	7	standards	standard	NOUN
ajote-8309	181	8	4	4	NUM
ajote-8309	181	9	and	and	CCONJ
ajote-8309	181	10	5	5	NUM
ajote-8309	181	11	?	?	X
ajote-8309	181	12	everton	everton	PROPN
ajote-8309	181	13	jacinto	jacinto	PROPN
ajote-8309	181	14	,	,	PUNCT
ajote-8309	181	15	arne	arne	ADJ
ajote-8309	181	16	jakobsen	jakobsen	NOUN
ajote-8309	181	17	,	,	PUNCT
ajote-8309	181	18	raymond	raymond	PROPN
ajote-8309	181	19	bjuland	bjuland	PROPN
ajote-8309	181	20	ajote	ajote	PROPN
ajote-8309	181	21	vol.14	vol.14	NOUN
ajote-8309	181	22	no.2	no.2	PROPN
ajote-8309	181	23	(	(	PUNCT
ajote-8309	181	24	2025	2025	NUM
ajote-8309	181	25	)	)	PUNCT
ajote-8309	181	26	,	,	PUNCT
ajote-8309	181	27	92	92	NUM
ajote-8309	181	28	-	-	SYM
ajote-8309	181	29	116	116	NUM
ajote-8309	181	30	104	104	NUM
ajote-8309	181	31	6	6	NUM
ajote-8309	181	32	denise	denise	NOUN
ajote-8309	181	33	:	:	PUNCT
ajote-8309	181	34	in	in	ADP
ajote-8309	181	35	standard	standard	NOUN
ajote-8309	181	36	4	4	NUM
ajote-8309	181	37	,	,	PUNCT
ajote-8309	181	38	we	we	PRON
ajote-8309	181	39	teach	teach	VERB
ajote-8309	181	40	them	they	PRON
ajote-8309	181	41	to	to	PART
ajote-8309	181	42	count	count	VERB
ajote-8309	181	43	legs	leg	NOUN
ajote-8309	181	44	of	of	ADP
ajote-8309	181	45	tables	table	NOUN
ajote-8309	181	46	,	,	PUNCT
ajote-8309	181	47	desks	desk	NOUN
ajote-8309	181	48	,	,	PUNCT
ajote-8309	181	49	chairs	chair	NOUN
ajote-8309	181	50	…	…	PUNCT
ajote-8309	181	51	and	and	CCONJ
ajote-8309	181	52	in	in	ADP
ajote-8309	181	53	standard	standard	ADJ
ajote-8309	181	54	5	5	NUM
ajote-8309	181	55	,	,	PUNCT
ajote-8309	181	56	we	we	PRON
ajote-8309	181	57	use	use	VERB
ajote-8309	181	58	,	,	PUNCT
ajote-8309	181	59	for	for	ADP
ajote-8309	181	60	example	example	NOUN
ajote-8309	181	61	,	,	PUNCT
ajote-8309	181	62	fingers	finger	NOUN
ajote-8309	181	63	,	,	PUNCT
ajote-8309	181	64	toes	toe	NOUN
ajote-8309	181	65	…	…	PUNCT
ajote-8309	181	66	7	7	NUM
ajote-8309	181	67	researcher	researcher	NOUN
ajote-8309	181	68	:	:	PUNCT
ajote-8309	181	69	i	i	PRON
ajote-8309	181	70	see	see	VERB
ajote-8309	181	71	!	!	PUNCT
ajote-8309	182	1	so	so	ADV
ajote-8309	182	2	,	,	PUNCT
ajote-8309	182	3	if	if	SCONJ
ajote-8309	182	4	i	i	PRON
ajote-8309	182	5	am	be	AUX
ajote-8309	182	6	going	go	VERB
ajote-8309	182	7	to	to	PART
ajote-8309	182	8	teach	teach	VERB
ajote-8309	182	9	this	this	DET
ajote-8309	182	10	topic	topic	NOUN
ajote-8309	182	11	,	,	PUNCT
ajote-8309	182	12	do	do	AUX
ajote-8309	182	13	i	i	PRON
ajote-8309	182	14	need	need	VERB
ajote-8309	182	15	to	to	PART
ajote-8309	182	16	know	know	VERB
ajote-8309	182	17	that	that	PRON
ajote-8309	182	18	?	?	PUNCT
ajote-8309	183	1	8	8	NUM
ajote-8309	183	2	denise	denise	PROPN
ajote-8309	183	3	:	:	PUNCT
ajote-8309	183	4	yes	yes	INTJ
ajote-8309	183	5	!	!	PUNCT
ajote-8309	184	1	you	you	PRON
ajote-8309	184	2	must	must	AUX
ajote-8309	184	3	know	know	VERB
ajote-8309	184	4	how	how	SCONJ
ajote-8309	184	5	to	to	PART
ajote-8309	184	6	model	model	VERB
ajote-8309	184	7	multiplication	multiplication	NOUN
ajote-8309	184	8	to	to	PART
ajote-8309	184	9	help	help	VERB
ajote-8309	184	10	learners	learner	NOUN
ajote-8309	184	11	understand	understand	VERB
ajote-8309	184	12	the	the	DET
ajote-8309	184	13	meaning	meaning	NOUN
ajote-8309	184	14	,	,	PUNCT
ajote-8309	184	15	because	because	SCONJ
ajote-8309	184	16	it	it	PRON
ajote-8309	184	17	is	be	AUX
ajote-8309	184	18	valuable	valuable	ADJ
ajote-8309	184	19	for	for	SCONJ
ajote-8309	184	20	them	they	PRON
ajote-8309	184	21	to	to	PART
ajote-8309	184	22	know	know	VERB
ajote-8309	184	23	how	how	SCONJ
ajote-8309	184	24	to	to	PART
ajote-8309	184	25	put	put	VERB
ajote-8309	184	26	them	they	PRON
ajote-8309	184	27	together	together	ADV
ajote-8309	184	28	and	and	CCONJ
ajote-8309	184	29	use	use	VERB
ajote-8309	184	30	it	it	PRON
ajote-8309	184	31	[	[	X
ajote-8309	184	32	this	this	DET
ajote-8309	184	33	understanding	understanding	NOUN
ajote-8309	184	34	]	]	PUNCT
ajote-8309	184	35	to	to	PART
ajote-8309	184	36	multiply	multiply	VERB
ajote-8309	184	37	different	different	ADJ
ajote-8309	184	38	groups	group	NOUN
ajote-8309	184	39	of	of	ADP
ajote-8309	184	40	objects	object	NOUN
ajote-8309	184	41	.	.	PUNCT
ajote-8309	185	1	9	9	NUM
ajote-8309	185	2	researcher	researcher	NOUN
ajote-8309	185	3	:	:	PUNCT
ajote-8309	185	4	but	but	CCONJ
ajote-8309	185	5	,	,	PUNCT
ajote-8309	185	6	will	will	AUX
ajote-8309	185	7	they	they	PRON
ajote-8309	185	8	still	still	ADV
ajote-8309	185	9	multiply	multiply	VERB
ajote-8309	185	10	different	different	ADJ
ajote-8309	185	11	groups	group	NOUN
ajote-8309	185	12	of	of	ADP
ajote-8309	185	13	objects	object	NOUN
ajote-8309	185	14	according	accord	VERB
ajote-8309	185	15	to	to	ADP
ajote-8309	185	16	their	their	PRON
ajote-8309	185	17	levels	level	NOUN
ajote-8309	185	18	?	?	PUNCT
ajote-8309	186	1	i	i	PRON
ajote-8309	186	2	mean	mean	VERB
ajote-8309	186	3	,	,	PUNCT
ajote-8309	186	4	in	in	ADP
ajote-8309	186	5	standard	standard	ADJ
ajote-8309	186	6	2	2	NUM
ajote-8309	186	7	,	,	PUNCT
ajote-8309	186	8	multiplications	multiplication	NOUN
ajote-8309	186	9	only	only	ADV
ajote-8309	186	10	involve	involve	VERB
ajote-8309	186	11	2	2	NUM
ajote-8309	186	12	and	and	CCONJ
ajote-8309	186	13	3	3	NUM
ajote-8309	186	14	,	,	PUNCT
ajote-8309	186	15	in	in	ADP
ajote-8309	186	16	standard	standard	ADJ
ajote-8309	186	17	3	3	NUM
ajote-8309	186	18	,	,	PUNCT
ajote-8309	186	19	they	they	PRON
ajote-8309	186	20	learn	learn	VERB
ajote-8309	186	21	multiplication	multiplication	NOUN
ajote-8309	186	22	by	by	ADP
ajote-8309	186	23	4	4	NUM
ajote-8309	186	24	and	and	CCONJ
ajote-8309	186	25	5	5	NUM
ajote-8309	186	26	…	…	SYM
ajote-8309	186	27	10	10	NUM
ajote-8309	186	28	denise	denise	NOUN
ajote-8309	186	29	:	:	PUNCT
ajote-8309	186	30	yes	yes	INTJ
ajote-8309	186	31	,	,	PUNCT
ajote-8309	186	32	according	accord	VERB
ajote-8309	186	33	to	to	ADP
ajote-8309	186	34	their	their	PRON
ajote-8309	186	35	levels	level	NOUN
ajote-8309	186	36	…	…	PUNCT
ajote-8309	186	37	according	accord	VERB
ajote-8309	186	38	to	to	ADP
ajote-8309	186	39	the	the	DET
ajote-8309	186	40	lesson	lesson	NOUN
ajote-8309	186	41	!	!	PUNCT
ajote-8309	187	1	the	the	DET
ajote-8309	187	2	procedure	procedure	NOUN
ajote-8309	187	3	used	use	VERB
ajote-8309	187	4	to	to	PART
ajote-8309	187	5	teach	teach	VERB
ajote-8309	187	6	multiplication	multiplication	NOUN
ajote-8309	187	7	by	by	ADP
ajote-8309	187	8	two	two	NUM
ajote-8309	187	9	was	be	AUX
ajote-8309	187	10	the	the	DET
ajote-8309	187	11	same	same	ADJ
ajote-8309	187	12	as	as	ADP
ajote-8309	187	13	that	that	PRON
ajote-8309	187	14	adopted	adopt	VERB
ajote-8309	187	15	for	for	ADP
ajote-8309	187	16	teaching	teach	VERB
ajote-8309	187	17	multiplication	multiplication	NOUN
ajote-8309	187	18	by	by	ADP
ajote-8309	187	19	three	three	NUM
ajote-8309	187	20	.	.	PUNCT
ajote-8309	188	1	in	in	ADP
ajote-8309	188	2	both	both	DET
ajote-8309	188	3	cases	case	NOUN
ajote-8309	188	4	,	,	PUNCT
ajote-8309	188	5	students	student	NOUN
ajote-8309	188	6	learn	learn	VERB
ajote-8309	188	7	to	to	PART
ajote-8309	188	8	count	count	VERB
ajote-8309	188	9	in	in	ADP
ajote-8309	188	10	groups	group	NOUN
ajote-8309	188	11	of	of	ADP
ajote-8309	188	12	two	two	NUM
ajote-8309	188	13	and	and	CCONJ
ajote-8309	188	14	three	three	NUM
ajote-8309	188	15	objects	object	NOUN
ajote-8309	188	16	,	,	PUNCT
ajote-8309	188	17	respectively	respectively	ADV
ajote-8309	188	18	,	,	PUNCT
ajote-8309	188	19	a	a	DET
ajote-8309	188	20	foundational	foundational	ADJ
ajote-8309	188	21	skill	skill	NOUN
ajote-8309	188	22	that	that	PRON
ajote-8309	188	23	supports	support	VERB
ajote-8309	188	24	their	their	PRON
ajote-8309	188	25	ability	ability	NOUN
ajote-8309	188	26	to	to	PART
ajote-8309	188	27	manage	manage	VERB
ajote-8309	188	28	real	real	ADJ
ajote-8309	188	29	-	-	PUNCT
ajote-8309	188	30	life	life	NOUN
ajote-8309	188	31	situations	situation	NOUN
ajote-8309	188	32	requiring	require	VERB
ajote-8309	188	33	equal	equal	ADJ
ajote-8309	188	34	groupings	grouping	NOUN
ajote-8309	188	35	of	of	ADP
ajote-8309	188	36	objects	object	NOUN
ajote-8309	188	37	(	(	PUNCT
ajote-8309	188	38	excerpt	excerpt	PROPN
ajote-8309	188	39	ii	ii	PROPN
ajote-8309	188	40	,	,	PUNCT
ajote-8309	188	41	line	line	NOUN
ajote-8309	188	42	4	4	NUM
ajote-8309	188	43	)	)	PUNCT
ajote-8309	188	44	.	.	PUNCT
ajote-8309	189	1	denise	denise	PROPN
ajote-8309	189	2	’s	’s	PART
ajote-8309	189	3	approach	approach	NOUN
ajote-8309	189	4	to	to	ADP
ajote-8309	189	5	teaching	teach	VERB
ajote-8309	189	6	multiplication	multiplication	NOUN
ajote-8309	189	7	by	by	ADP
ajote-8309	189	8	three	three	NUM
ajote-8309	189	9	reflected	reflect	VERB
ajote-8309	189	10	her	her	PRON
ajote-8309	189	11	belief	belief	NOUN
ajote-8309	189	12	that	that	SCONJ
ajote-8309	189	13	objects	object	VERB
ajote-8309	189	14	in	in	ADP
ajote-8309	189	15	nature	nature	NOUN
ajote-8309	189	16	rarely	rarely	ADV
ajote-8309	189	17	occur	occur	VERB
ajote-8309	189	18	in	in	ADP
ajote-8309	189	19	groups	group	NOUN
ajote-8309	189	20	of	of	ADP
ajote-8309	189	21	three	three	NUM
ajote-8309	189	22	(	(	PUNCT
ajote-8309	189	23	excerpt	excerpt	PROPN
ajote-8309	189	24	ii	ii	PROPN
ajote-8309	189	25	,	,	PUNCT
ajote-8309	189	26	line	line	NOUN
ajote-8309	189	27	4	4	NUM
ajote-8309	189	28	)	)	PUNCT
ajote-8309	189	29	.	.	PUNCT
ajote-8309	190	1	consequently	consequently	ADV
ajote-8309	190	2	,	,	PUNCT
ajote-8309	190	3	she	she	PRON
ajote-8309	190	4	argued	argue	VERB
ajote-8309	190	5	that	that	SCONJ
ajote-8309	190	6	teachers	teacher	NOUN
ajote-8309	190	7	should	should	AUX
ajote-8309	190	8	be	be	AUX
ajote-8309	190	9	mindful	mindful	ADJ
ajote-8309	190	10	of	of	ADP
ajote-8309	190	11	this	this	DET
ajote-8309	190	12	limitation	limitation	NOUN
ajote-8309	190	13	to	to	PART
ajote-8309	190	14	better	well	ADV
ajote-8309	190	15	support	support	VERB
ajote-8309	190	16	students	student	NOUN
ajote-8309	190	17	in	in	ADP
ajote-8309	190	18	making	make	VERB
ajote-8309	190	19	appropriate	appropriate	ADJ
ajote-8309	190	20	generalisations	generalisation	NOUN
ajote-8309	190	21	about	about	ADP
ajote-8309	190	22	related	relate	VERB
ajote-8309	190	23	mathematical	mathematical	ADJ
ajote-8309	190	24	concepts	concept	NOUN
ajote-8309	190	25	(	(	PUNCT
ajote-8309	190	26	excerpt	excerpt	PROPN
ajote-8309	190	27	ii	ii	PROPN
ajote-8309	190	28	,	,	PUNCT
ajote-8309	190	29	line	line	NOUN
ajote-8309	190	30	8)	8)	NUM
ajote-8309	190	31	.	.	PUNCT
ajote-8309	191	1	according	accord	VERB
ajote-8309	191	2	to	to	ADP
ajote-8309	191	3	denise	denise	PROPN
ajote-8309	191	4	,	,	PUNCT
ajote-8309	191	5	teaching	teach	VERB
ajote-8309	191	6	multiplication	multiplication	NOUN
ajote-8309	191	7	through	through	ADP
ajote-8309	191	8	grouping	grouping	NOUN
ajote-8309	191	9	is	be	AUX
ajote-8309	191	10	advantageous	advantageous	ADJ
ajote-8309	191	11	because	because	SCONJ
ajote-8309	191	12	it	it	PRON
ajote-8309	191	13	enables	enable	VERB
ajote-8309	191	14	students	student	NOUN
ajote-8309	191	15	to	to	PART
ajote-8309	191	16	understand	understand	VERB
ajote-8309	191	17	the	the	DET
ajote-8309	191	18	concepts	concept	NOUN
ajote-8309	191	19	and	and	CCONJ
ajote-8309	191	20	properties	property	NOUN
ajote-8309	191	21	associated	associate	VERB
ajote-8309	191	22	with	with	ADP
ajote-8309	191	23	multiplying	multiply	VERB
ajote-8309	191	24	by	by	ADP
ajote-8309	191	25	three	three	NUM
ajote-8309	191	26	.	.	PUNCT
ajote-8309	192	1	by	by	ADP
ajote-8309	192	2	aligning	align	VERB
ajote-8309	192	3	her	her	PRON
ajote-8309	192	4	instruction	instruction	NOUN
ajote-8309	192	5	with	with	ADP
ajote-8309	192	6	the	the	DET
ajote-8309	192	7	students	student	NOUN
ajote-8309	192	8	’	’	PART
ajote-8309	192	9	developmental	developmental	ADJ
ajote-8309	192	10	level	level	NOUN
ajote-8309	192	11	,	,	PUNCT
ajote-8309	192	12	she	she	PRON
ajote-8309	192	13	aimed	aim	VERB
ajote-8309	192	14	to	to	PART
ajote-8309	192	15	promote	promote	VERB
ajote-8309	192	16	generalisations	generalisation	NOUN
ajote-8309	192	17	that	that	PRON
ajote-8309	192	18	emphasized	emphasize	VERB
ajote-8309	192	19	the	the	DET
ajote-8309	192	20	importance	importance	NOUN
ajote-8309	192	21	of	of	ADP
ajote-8309	192	22	factor	factor	NOUN
ajote-8309	192	23	order	order	NOUN
ajote-8309	192	24	.	.	PUNCT
ajote-8309	193	1	in	in	ADP
ajote-8309	193	2	standard	standard	ADJ
ajote-8309	193	3	2	2	NUM
ajote-8309	193	4	,	,	PUNCT
ajote-8309	193	5	for	for	ADP
ajote-8309	193	6	example	example	NOUN
ajote-8309	193	7	,	,	PUNCT
ajote-8309	193	8	learners	learner	NOUN
ajote-8309	193	9	are	be	AUX
ajote-8309	193	10	also	also	ADV
ajote-8309	193	11	introduced	introduce	VERB
ajote-8309	193	12	to	to	ADP
ajote-8309	193	13	multiplying	multiply	VERB
ajote-8309	193	14	two	two	NUM
ajote-8309	193	15	-	-	PUNCT
ajote-8309	193	16	digit	digit	NOUN
ajote-8309	193	17	numbers	number	NOUN
ajote-8309	193	18	by	by	ADP
ajote-8309	193	19	three	three	NUM
ajote-8309	193	20	,	,	PUNCT
ajote-8309	193	21	such	such	ADJ
ajote-8309	193	22	as	as	ADP
ajote-8309	193	23	11	11	NUM
ajote-8309	193	24	×	×	NOUN
ajote-8309	193	25	3	3	NUM
ajote-8309	193	26	and	and	CCONJ
ajote-8309	193	27	12	12	NUM
ajote-8309	193	28	×	×	NOUN
ajote-8309	193	29	3	3	NUM
ajote-8309	193	30	,	,	PUNCT
ajote-8309	193	31	but	but	CCONJ
ajote-8309	193	32	only	only	ADV
ajote-8309	193	33	with	with	ADP
ajote-8309	193	34	products	product	NOUN
ajote-8309	193	35	that	that	PRON
ajote-8309	193	36	do	do	AUX
ajote-8309	193	37	not	not	PART
ajote-8309	193	38	exceed	exceed	VERB
ajote-8309	193	39	99	99	NUM
ajote-8309	193	40	.	.	PUNCT
ajote-8309	194	1	accordingly	accordingly	ADV
ajote-8309	194	2	,	,	PUNCT
ajote-8309	194	3	the	the	DET
ajote-8309	194	4	notion	notion	NOUN
ajote-8309	194	5	that	that	SCONJ
ajote-8309	194	6	students	student	NOUN
ajote-8309	194	7	must	must	AUX
ajote-8309	194	8	understand	understand	VERB
ajote-8309	194	9	how	how	SCONJ
ajote-8309	194	10	to	to	PART
ajote-8309	194	11	organize	organize	VERB
ajote-8309	194	12	objects	object	NOUN
ajote-8309	194	13	into	into	ADP
ajote-8309	194	14	equal	equal	ADJ
ajote-8309	194	15	groups	group	NOUN
ajote-8309	194	16	to	to	PART
ajote-8309	194	17	perform	perform	VERB
ajote-8309	194	18	multiplication	multiplication	NOUN
ajote-8309	194	19	(	(	PUNCT
ajote-8309	194	20	excerpt	excerpt	PROPN
ajote-8309	194	21	ii	ii	PROPN
ajote-8309	194	22	,	,	PUNCT
ajote-8309	194	23	line	line	NOUN
ajote-8309	194	24	8)	8)	NUM
ajote-8309	194	25	implies	imply	VERB
ajote-8309	194	26	that	that	SCONJ
ajote-8309	194	27	they	they	PRON
ajote-8309	194	28	need	need	VERB
ajote-8309	194	29	to	to	PART
ajote-8309	194	30	master	master	VERB
ajote-8309	194	31	counting	counting	NOUN
ajote-8309	194	32	by	by	ADP
ajote-8309	194	33	groups	group	NOUN
ajote-8309	194	34	within	within	ADP
ajote-8309	194	35	the	the	DET
ajote-8309	194	36	limits	limit	NOUN
ajote-8309	194	37	established	establish	VERB
ajote-8309	194	38	by	by	ADP
ajote-8309	194	39	the	the	DET
ajote-8309	194	40	curriculum	curriculum	NOUN
ajote-8309	194	41	.	.	PUNCT
ajote-8309	195	1	despite	despite	SCONJ
ajote-8309	195	2	these	these	DET
ajote-8309	195	3	constraints	constraint	NOUN
ajote-8309	195	4	,	,	PUNCT
ajote-8309	195	5	denise	denise	PROPN
ajote-8309	195	6	emphasized	emphasize	VERB
ajote-8309	195	7	that	that	SCONJ
ajote-8309	195	8	grouping	grouping	NOUN
ajote-8309	195	9	remains	remain	VERB
ajote-8309	195	10	a	a	DET
ajote-8309	195	11	crucial	crucial	ADJ
ajote-8309	195	12	instructional	instructional	ADJ
ajote-8309	195	13	tool	tool	NOUN
ajote-8309	195	14	for	for	ADP
ajote-8309	195	15	fostering	foster	VERB
ajote-8309	195	16	students	student	NOUN
ajote-8309	195	17	’	'	PUNCT
ajote-8309	195	18	broader	broad	ADJ
ajote-8309	195	19	understanding	understanding	NOUN
ajote-8309	195	20	of	of	ADP
ajote-8309	195	21	multiplication	multiplication	NOUN
ajote-8309	195	22	.	.	PUNCT
ajote-8309	196	1	tracing	trace	VERB
ajote-8309	196	2	pre	pre	ADJ
ajote-8309	196	3	-	-	ADJ
ajote-8309	196	4	service	service	ADJ
ajote-8309	196	5	teachers	teacher	NOUN
ajote-8309	196	6	’	’	PART
ajote-8309	196	7	understanding	understanding	NOUN
ajote-8309	196	8	of	of	ADP
ajote-8309	196	9	specialized	specialized	ADJ
ajote-8309	196	10	content	content	NOUN
ajote-8309	196	11	knowledge	knowledge	NOUN
ajote-8309	196	12	for	for	ADP
ajote-8309	196	13	sequencing	sequence	VERB
ajote-8309	196	14	and	and	CCONJ
ajote-8309	196	15	structuring	structure	VERB
ajote-8309	196	16	mathematics	mathematic	NOUN
ajote-8309	196	17	learning	learn	VERB
ajote-8309	196	18	in	in	ADP
ajote-8309	196	19	low	low	ADJ
ajote-8309	196	20	-	-	PUNCT
ajote-8309	196	21	resource	resource	NOUN
ajote-8309	196	22	malawi	malawi	PROPN
ajote-8309	196	23	classrooms	classroom	NOUN
ajote-8309	196	24	ajote	ajote	VERB
ajote-8309	196	25	vol.14	vol.14	NOUN
ajote-8309	196	26	no.2	no.2	PROPN
ajote-8309	196	27	(	(	PUNCT
ajote-8309	196	28	2025	2025	NUM
ajote-8309	196	29	)	)	PUNCT
ajote-8309	196	30	,	,	PUNCT
ajote-8309	196	31	92	92	NUM
ajote-8309	196	32	-	-	SYM
ajote-8309	196	33	116	116	NUM
ajote-8309	196	34	105	105	NUM
ajote-8309	196	35	these	these	DET
ajote-8309	196	36	insights	insight	NOUN
ajote-8309	196	37	suggest	suggest	VERB
ajote-8309	196	38	that	that	SCONJ
ajote-8309	196	39	denise	denise	PROPN
ajote-8309	196	40	’s	’s	PART
ajote-8309	196	41	instructional	instructional	ADJ
ajote-8309	196	42	decisions	decision	NOUN
ajote-8309	196	43	reflect	reflect	VERB
ajote-8309	196	44	her	her	PRON
ajote-8309	196	45	view	view	NOUN
ajote-8309	196	46	of	of	ADP
ajote-8309	196	47	multiplication	multiplication	NOUN
ajote-8309	196	48	pedagogy	pedagogy	NOUN
ajote-8309	196	49	as	as	ADP
ajote-8309	196	50	a	a	DET
ajote-8309	196	51	distinctive	distinctive	ADJ
ajote-8309	196	52	component	component	NOUN
ajote-8309	196	53	of	of	ADP
ajote-8309	196	54	teaching	teaching	NOUN
ajote-8309	196	55	practice	practice	NOUN
ajote-8309	196	56	,	,	PUNCT
ajote-8309	196	57	consistent	consistent	ADJ
ajote-8309	196	58	with	with	ADP
ajote-8309	196	59	the	the	DET
ajote-8309	196	60	teaching	teaching	NOUN
ajote-8309	196	61	knowledge	knowledge	NOUN
ajote-8309	196	62	she	she	PRON
ajote-8309	196	63	shared	share	VERB
ajote-8309	196	64	during	during	ADP
ajote-8309	196	65	her	her	PRON
ajote-8309	196	66	initial	initial	ADJ
ajote-8309	196	67	interview	interview	NOUN
ajote-8309	196	68	(	(	PUNCT
ajote-8309	196	69	i	i	NOUN
ajote-8309	196	70	m	m	PROPN
ajote-8309	196	71	)	)	PUNCT
ajote-8309	196	72	.	.	PUNCT
ajote-8309	197	1	her	her	PRON
ajote-8309	197	2	approach	approach	NOUN
ajote-8309	197	3	also	also	ADV
ajote-8309	197	4	aligns	align	VERB
ajote-8309	197	5	with	with	ADP
ajote-8309	197	6	sck	sck	PROPN
ajote-8309	197	7	,	,	PUNCT
ajote-8309	197	8	which	which	PRON
ajote-8309	197	9	involves	involve	VERB
ajote-8309	197	10	the	the	DET
ajote-8309	197	11	transformation	transformation	NOUN
ajote-8309	197	12	of	of	ADP
ajote-8309	197	13	subject	subject	ADJ
ajote-8309	197	14	matter	matter	NOUN
ajote-8309	197	15	knowledge	knowledge	NOUN
ajote-8309	197	16	into	into	ADP
ajote-8309	197	17	pedagogical	pedagogical	ADJ
ajote-8309	197	18	content	content	NOUN
ajote-8309	197	19	knowledge	knowledge	NOUN
ajote-8309	197	20	(	(	PUNCT
ajote-8309	197	21	worden	worden	NOUN
ajote-8309	197	22	,	,	PUNCT
ajote-8309	197	23	2015	2015	NUM
ajote-8309	197	24	)	)	PUNCT
ajote-8309	197	25	.	.	PUNCT
ajote-8309	198	1	however	however	ADV
ajote-8309	198	2	,	,	PUNCT
ajote-8309	198	3	denise	denise	PROPN
ajote-8309	198	4	contended	contend	VERB
ajote-8309	198	5	that	that	SCONJ
ajote-8309	198	6	to	to	PART
ajote-8309	198	7	make	make	VERB
ajote-8309	198	8	mathematical	mathematical	ADJ
ajote-8309	198	9	content	content	NOUN
ajote-8309	198	10	accessible	accessible	ADJ
ajote-8309	198	11	to	to	ADP
ajote-8309	198	12	learners	learner	NOUN
ajote-8309	198	13	,	,	PUNCT
ajote-8309	198	14	teachers	teacher	NOUN
ajote-8309	198	15	must	must	AUX
ajote-8309	198	16	prioritize	prioritize	VERB
ajote-8309	198	17	certain	certain	ADJ
ajote-8309	198	18	conceptual	conceptual	ADJ
ajote-8309	198	19	aspects	aspect	NOUN
ajote-8309	198	20	over	over	ADP
ajote-8309	198	21	formal	formal	ADJ
ajote-8309	198	22	properties	property	NOUN
ajote-8309	198	23	such	such	ADJ
ajote-8309	198	24	as	as	ADP
ajote-8309	198	25	associativity	associativity	NOUN
ajote-8309	198	26	or	or	CCONJ
ajote-8309	198	27	commutativity	commutativity	NOUN
ajote-8309	198	28	.	.	PUNCT
ajote-8309	199	1	in	in	ADP
ajote-8309	199	2	other	other	ADJ
ajote-8309	199	3	words	word	NOUN
ajote-8309	199	4	,	,	PUNCT
ajote-8309	199	5	her	her	PRON
ajote-8309	199	6	interpretation	interpretation	NOUN
ajote-8309	199	7	of	of	ADP
ajote-8309	199	8	the	the	DET
ajote-8309	199	9	knowledge	knowledge	NOUN
ajote-8309	199	10	required	require	VERB
ajote-8309	199	11	for	for	ADP
ajote-8309	199	12	teaching	teaching	NOUN
ajote-8309	199	13	aligns	align	VERB
ajote-8309	199	14	with	with	ADP
ajote-8309	199	15	the	the	DET
ajote-8309	199	16	recommendations	recommendation	NOUN
ajote-8309	199	17	found	find	VERB
ajote-8309	199	18	in	in	ADP
ajote-8309	199	19	the	the	DET
ajote-8309	199	20	national	national	ADJ
ajote-8309	199	21	teachers	teachers	PROPN
ajote-8309	199	22	’	'	PUNCT
ajote-8309	199	23	guide	guide	NOUN
ajote-8309	199	24	for	for	ADP
ajote-8309	199	25	standard	standard	ADJ
ajote-8309	199	26	2	2	NUM
ajote-8309	199	27	,	,	PUNCT
ajote-8309	199	28	while	while	SCONJ
ajote-8309	199	29	also	also	ADV
ajote-8309	199	30	reflecting	reflect	VERB
ajote-8309	199	31	a	a	DET
ajote-8309	199	32	growing	grow	VERB
ajote-8309	199	33	awareness	awareness	NOUN
ajote-8309	199	34	of	of	ADP
ajote-8309	199	35	how	how	SCONJ
ajote-8309	199	36	abstract	abstract	ADJ
ajote-8309	199	37	mathematical	mathematical	ADJ
ajote-8309	199	38	principles	principle	NOUN
ajote-8309	199	39	can	can	AUX
ajote-8309	199	40	enhance	enhance	VERB
ajote-8309	199	41	teaching	teaching	NOUN
ajote-8309	199	42	and	and	CCONJ
ajote-8309	199	43	learning	learn	VERB
ajote-8309	199	44	in	in	ADP
ajote-8309	199	45	the	the	DET
ajote-8309	199	46	primary	primary	ADJ
ajote-8309	199	47	classroom	classroom	NOUN
ajote-8309	199	48	.	.	PUNCT
ajote-8309	200	1	denise	denise	PROPN
ajote-8309	200	2	’s	’s	PART
ajote-8309	200	3	case	case	NOUN
ajote-8309	200	4	illustrates	illustrate	VERB
ajote-8309	200	5	that	that	SCONJ
ajote-8309	200	6	the	the	DET
ajote-8309	200	7	knowledge	knowledge	NOUN
ajote-8309	200	8	she	she	PRON
ajote-8309	200	9	draws	draw	VERB
ajote-8309	200	10	upon	upon	SCONJ
ajote-8309	200	11	when	when	SCONJ
ajote-8309	200	12	teaching	teaching	NOUN
ajote-8309	200	13	multiplication	multiplication	NOUN
ajote-8309	200	14	is	be	AUX
ajote-8309	200	15	largely	largely	ADV
ajote-8309	200	16	grounded	ground	VERB
ajote-8309	200	17	in	in	ADP
ajote-8309	200	18	students	student	NOUN
ajote-8309	200	19	’	'	PUNCT
ajote-8309	200	20	capacity	capacity	NOUN
ajote-8309	200	21	to	to	PART
ajote-8309	200	22	form	form	VERB
ajote-8309	200	23	basic	basic	ADJ
ajote-8309	200	24	generalisations	generalisation	NOUN
ajote-8309	200	25	.	.	PUNCT
ajote-8309	201	1	at	at	ADP
ajote-8309	201	2	the	the	DET
ajote-8309	201	3	same	same	ADJ
ajote-8309	201	4	time	time	NOUN
ajote-8309	201	5	,	,	PUNCT
ajote-8309	201	6	this	this	DET
ajote-8309	201	7	emphasis	emphasis	NOUN
ajote-8309	201	8	may	may	AUX
ajote-8309	201	9	limit	limit	VERB
ajote-8309	201	10	attention	attention	NOUN
ajote-8309	201	11	to	to	ADP
ajote-8309	201	12	more	more	ADJ
ajote-8309	201	13	abstract	abstract	ADJ
ajote-8309	201	14	properties	property	NOUN
ajote-8309	201	15	that	that	PRON
ajote-8309	201	16	could	could	AUX
ajote-8309	201	17	support	support	VERB
ajote-8309	201	18	the	the	DET
ajote-8309	201	19	development	development	NOUN
ajote-8309	201	20	of	of	ADP
ajote-8309	201	21	more	more	ADJ
ajote-8309	201	22	complex	complex	ADJ
ajote-8309	201	23	understandings	understanding	NOUN
ajote-8309	201	24	.	.	PUNCT
ajote-8309	202	1	from	from	ADP
ajote-8309	202	2	this	this	DET
ajote-8309	202	3	pre	pre	ADJ
ajote-8309	202	4	-	-	ADJ
ajote-8309	202	5	service	service	ADJ
ajote-8309	202	6	teacher	teacher	NOUN
ajote-8309	202	7	’	'	PUNCT
ajote-8309	202	8	perspective	perspective	NOUN
ajote-8309	202	9	,	,	PUNCT
ajote-8309	202	10	sck	sck	PROPN
ajote-8309	202	11	appears	appear	VERB
ajote-8309	202	12	to	to	PART
ajote-8309	202	13	represent	represent	VERB
ajote-8309	202	14	only	only	ADV
ajote-8309	202	15	one	one	NUM
ajote-8309	202	16	dimension	dimension	NOUN
ajote-8309	202	17	of	of	ADP
ajote-8309	202	18	the	the	DET
ajote-8309	202	19	mathematical	mathematical	ADJ
ajote-8309	202	20	knowledge	knowledge	NOUN
ajote-8309	202	21	necessary	necessary	ADJ
ajote-8309	202	22	to	to	PART
ajote-8309	202	23	engage	engage	VERB
ajote-8309	202	24	students	student	NOUN
ajote-8309	202	25	in	in	ADP
ajote-8309	202	26	meaningful	meaningful	ADJ
ajote-8309	202	27	learning	learning	NOUN
ajote-8309	202	28	.	.	PUNCT
ajote-8309	203	1	for	for	ADP
ajote-8309	203	2	denise	denise	PROPN
ajote-8309	203	3	,	,	PUNCT
ajote-8309	203	4	this	this	PRON
ajote-8309	203	5	involved	involve	VERB
ajote-8309	203	6	selecting	select	VERB
ajote-8309	203	7	and	and	CCONJ
ajote-8309	203	8	adapting	adapt	VERB
ajote-8309	203	9	representations	representation	NOUN
ajote-8309	203	10	and	and	CCONJ
ajote-8309	203	11	methods	method	NOUN
ajote-8309	203	12	that	that	PRON
ajote-8309	203	13	allowed	allow	VERB
ajote-8309	203	14	students	student	NOUN
ajote-8309	203	15	to	to	PART
ajote-8309	203	16	work	work	VERB
ajote-8309	203	17	with	with	ADP
ajote-8309	203	18	unfamiliar	unfamiliar	ADJ
ajote-8309	203	19	problems	problem	NOUN
ajote-8309	203	20	while	while	SCONJ
ajote-8309	203	21	maintaining	maintain	VERB
ajote-8309	203	22	a	a	DET
ajote-8309	203	23	strong	strong	ADJ
ajote-8309	203	24	focus	focus	NOUN
ajote-8309	203	25	on	on	ADP
ajote-8309	203	26	the	the	DET
ajote-8309	203	27	conceptual	conceptual	ADJ
ajote-8309	203	28	features	feature	NOUN
ajote-8309	203	29	of	of	ADP
ajote-8309	203	30	the	the	DET
ajote-8309	203	31	topic	topic	NOUN
ajote-8309	203	32	(	(	PUNCT
ajote-8309	203	33	hill	hill	NOUN
ajote-8309	203	34	et	et	PROPN
ajote-8309	203	35	al	al	PROPN
ajote-8309	203	36	.	.	PROPN
ajote-8309	203	37	,	,	PUNCT
ajote-8309	203	38	2008	2008	NUM
ajote-8309	203	39	)	)	PUNCT
ajote-8309	203	40	.	.	PUNCT
ajote-8309	204	1	considering	consider	VERB
ajote-8309	204	2	students	student	NOUN
ajote-8309	204	3	’	'	PUNCT
ajote-8309	204	4	capacities	capacity	NOUN
ajote-8309	204	5	to	to	PART
ajote-8309	204	6	create	create	VERB
ajote-8309	204	7	different	different	ADJ
ajote-8309	204	8	instructional	instructional	ADJ
ajote-8309	204	9	approaches	approach	NOUN
ajote-8309	204	10	.	.	PUNCT
ajote-8309	205	1	the	the	DET
ajote-8309	205	2	analyses	analysis	NOUN
ajote-8309	205	3	presented	present	VERB
ajote-8309	205	4	in	in	ADP
ajote-8309	205	5	this	this	DET
ajote-8309	205	6	section	section	NOUN
ajote-8309	205	7	illustrate	illustrate	VERB
ajote-8309	205	8	how	how	SCONJ
ajote-8309	205	9	martin	martin	PROPN
ajote-8309	205	10	designed	design	VERB
ajote-8309	205	11	and	and	CCONJ
ajote-8309	205	12	implemented	implement	VERB
ajote-8309	205	13	instructional	instructional	ADJ
ajote-8309	205	14	tasks	task	NOUN
ajote-8309	205	15	to	to	PART
ajote-8309	205	16	support	support	VERB
ajote-8309	205	17	students	student	NOUN
ajote-8309	205	18	’	'	PUNCT
ajote-8309	205	19	learning	learning	NOUN
ajote-8309	205	20	of	of	ADP
ajote-8309	205	21	fractions	fraction	NOUN
ajote-8309	205	22	.	.	PUNCT
ajote-8309	206	1	while	while	SCONJ
ajote-8309	206	2	this	this	DET
ajote-8309	206	3	practice	practice	NOUN
ajote-8309	206	4	can	can	AUX
ajote-8309	206	5	be	be	AUX
ajote-8309	206	6	understood	understand	VERB
ajote-8309	206	7	as	as	ADP
ajote-8309	206	8	a	a	DET
ajote-8309	206	9	component	component	NOUN
ajote-8309	206	10	of	of	ADP
ajote-8309	206	11	the	the	DET
ajote-8309	206	12	teacher	teacher	NOUN
ajote-8309	206	13	’s	’s	PART
ajote-8309	206	14	sck	sck	PROPN
ajote-8309	206	15	,	,	PUNCT
ajote-8309	206	16	the	the	DET
ajote-8309	206	17	primary	primary	ADJ
ajote-8309	206	18	objective	objective	NOUN
ajote-8309	206	19	is	be	AUX
ajote-8309	206	20	to	to	PART
ajote-8309	206	21	examine	examine	VERB
ajote-8309	206	22	how	how	SCONJ
ajote-8309	206	23	martin	martin	PROPN
ajote-8309	206	24	developed	develop	VERB
ajote-8309	206	25	his	his	PRON
ajote-8309	206	26	understanding	understanding	NOUN
ajote-8309	206	27	of	of	ADP
ajote-8309	206	28	the	the	DET
ajote-8309	206	29	role	role	NOUN
ajote-8309	206	30	that	that	PRON
ajote-8309	206	31	sck	sck	PROPN
ajote-8309	206	32	plays	play	VERB
ajote-8309	206	33	in	in	ADP
ajote-8309	206	34	the	the	DET
ajote-8309	206	35	teaching	teaching	NOUN
ajote-8309	206	36	of	of	ADP
ajote-8309	206	37	mathematics	mathematic	NOUN
ajote-8309	206	38	.	.	PUNCT
ajote-8309	207	1	as	as	SCONJ
ajote-8309	207	2	previously	previously	ADV
ajote-8309	207	3	mentioned	mention	VERB
ajote-8309	207	4	,	,	PUNCT
ajote-8309	207	5	the	the	DET
ajote-8309	207	6	episode	episode	NOUN
ajote-8309	207	7	under	under	ADP
ajote-8309	207	8	analysis	analysis	NOUN
ajote-8309	207	9	took	take	VERB
ajote-8309	207	10	place	place	NOUN
ajote-8309	207	11	during	during	ADP
ajote-8309	207	12	a	a	DET
ajote-8309	207	13	lesson	lesson	NOUN
ajote-8309	207	14	on	on	ADP
ajote-8309	207	15	fractions	fraction	NOUN
ajote-8309	207	16	,	,	PUNCT
ajote-8309	207	17	an	an	DET
ajote-8309	207	18	essential	essential	ADJ
ajote-8309	207	19	topic	topic	NOUN
ajote-8309	207	20	in	in	ADP
ajote-8309	207	21	the	the	DET
ajote-8309	207	22	standard	standard	ADJ
ajote-8309	207	23	4	4	NUM
ajote-8309	207	24	primary	primary	ADJ
ajote-8309	207	25	school	school	NOUN
ajote-8309	207	26	curriculum	curriculum	NOUN
ajote-8309	207	27	.	.	PUNCT
ajote-8309	208	1	martin	martin	PROPN
ajote-8309	208	2	began	begin	VERB
ajote-8309	208	3	the	the	DET
ajote-8309	208	4	lesson	lesson	NOUN
ajote-8309	208	5	by	by	ADP
ajote-8309	208	6	writing	write	VERB
ajote-8309	208	7	several	several	ADJ
ajote-8309	208	8	fractions	fraction	NOUN
ajote-8309	208	9	on	on	ADP
ajote-8309	208	10	the	the	DET
ajote-8309	208	11	blackboard	blackboard	NOUN
ajote-8309	208	12	.	.	PUNCT
ajote-8309	209	1	next	next	ADJ
ajote-8309	209	2	to	to	ADP
ajote-8309	209	3	each	each	DET
ajote-8309	209	4	fraction	fraction	NOUN
ajote-8309	209	5	,	,	PUNCT
ajote-8309	209	6	he	he	PRON
ajote-8309	209	7	drew	draw	VERB
ajote-8309	209	8	a	a	DET
ajote-8309	209	9	fraction	fraction	NOUN
ajote-8309	209	10	bar	bar	NOUN
ajote-8309	209	11	(	(	PUNCT
ajote-8309	209	12	also	also	ADV
ajote-8309	209	13	known	know	VERB
ajote-8309	209	14	as	as	ADP
ajote-8309	209	15	a	a	DET
ajote-8309	209	16	strip	strip	NOUN
ajote-8309	209	17	diagram	diagram	NOUN
ajote-8309	209	18	)	)	PUNCT
ajote-8309	209	19	,	,	PUNCT
ajote-8309	209	20	with	with	ADP
ajote-8309	209	21	the	the	DET
ajote-8309	209	22	number	number	NOUN
ajote-8309	209	23	of	of	ADP
ajote-8309	209	24	divisions	division	NOUN
ajote-8309	209	25	corresponding	correspond	VERB
ajote-8309	209	26	to	to	ADP
ajote-8309	209	27	the	the	DET
ajote-8309	209	28	denominator	denominator	NOUN
ajote-8309	209	29	of	of	ADP
ajote-8309	209	30	the	the	DET
ajote-8309	209	31	respective	respective	ADJ
ajote-8309	209	32	fraction	fraction	NOUN
ajote-8309	209	33	.	.	PUNCT
ajote-8309	210	1	in	in	ADP
ajote-8309	210	2	the	the	DET
ajote-8309	210	3	post	post	ADJ
ajote-8309	210	4	-	-	ADJ
ajote-8309	210	5	lesson	lesson	ADJ
ajote-8309	210	6	interview	interview	NOUN
ajote-8309	210	7	,	,	PUNCT
ajote-8309	210	8	martin	martin	PROPN
ajote-8309	210	9	explained	explain	VERB
ajote-8309	210	10	:	:	PUNCT
ajote-8309	210	11	“	"	PUNCT
ajote-8309	210	12	the	the	DET
ajote-8309	210	13	goal	goal	NOUN
ajote-8309	210	14	of	of	ADP
ajote-8309	210	15	the	the	DET
ajote-8309	210	16	lesson	lesson	NOUN
ajote-8309	210	17	was	be	AUX
ajote-8309	210	18	to	to	PART
ajote-8309	210	19	make	make	VERB
ajote-8309	210	20	students	student	NOUN
ajote-8309	210	21	explore	explore	VERB
ajote-8309	210	22	ways	way	NOUN
ajote-8309	210	23	to	to	PART
ajote-8309	210	24	represent	represent	VERB
ajote-8309	210	25	fractions	fraction	NOUN
ajote-8309	210	26	in	in	ADP
ajote-8309	210	27	a	a	DET
ajote-8309	210	28	geometrical	geometrical	ADJ
ajote-8309	210	29	format	format	NOUN
ajote-8309	210	30	,	,	PUNCT
ajote-8309	210	31	”	"	PUNCT
ajote-8309	210	32	a	a	DET
ajote-8309	210	33	skill	skill	NOUN
ajote-8309	210	34	he	he	PRON
ajote-8309	210	35	believes	believe	VERB
ajote-8309	210	36	helps	help	VERB
ajote-8309	210	37	students	student	NOUN
ajote-8309	210	38	“	"	PUNCT
ajote-8309	210	39	develop	develop	VERB
ajote-8309	210	40	an	an	DET
ajote-8309	210	41	understanding	understanding	NOUN
ajote-8309	210	42	of	of	ADP
ajote-8309	210	43	parts	part	NOUN
ajote-8309	210	44	of	of	ADP
ajote-8309	210	45	a	a	DET
ajote-8309	210	46	whole	whole	NOUN
ajote-8309	210	47	.	.	PUNCT
ajote-8309	210	48	”	"	PUNCT
ajote-8309	211	1	everton	everton	PROPN
ajote-8309	211	2	jacinto	jacinto	PROPN
ajote-8309	211	3	,	,	PUNCT
ajote-8309	211	4	arne	arne	ADJ
ajote-8309	211	5	jakobsen	jakobsen	NOUN
ajote-8309	211	6	,	,	PUNCT
ajote-8309	211	7	raymond	raymond	PROPN
ajote-8309	211	8	bjuland	bjuland	PROPN
ajote-8309	211	9	ajote	ajote	PROPN
ajote-8309	211	10	vol.14	vol.14	NOUN
ajote-8309	211	11	no.2	no.2	PROPN
ajote-8309	211	12	(	(	PUNCT
ajote-8309	211	13	2025	2025	NUM
ajote-8309	211	14	)	)	PUNCT
ajote-8309	211	15	,	,	PUNCT
ajote-8309	211	16	92	92	NUM
ajote-8309	211	17	-	-	SYM
ajote-8309	211	18	116	116	NUM
ajote-8309	211	19	106	106	NUM
ajote-8309	211	20	figure	figure	NOUN
ajote-8309	211	21	2	2	NUM
ajote-8309	211	22	depicts	depict	NOUN
ajote-8309	211	23	five	five	NUM
ajote-8309	211	24	randomly	randomly	ADV
ajote-8309	211	25	selected	select	VERB
ajote-8309	211	26	students	student	NOUN
ajote-8309	211	27	working	work	VERB
ajote-8309	211	28	at	at	ADP
ajote-8309	211	29	the	the	DET
ajote-8309	211	30	blackboard	blackboard	NOUN
ajote-8309	211	31	to	to	PART
ajote-8309	211	32	complete	complete	VERB
ajote-8309	211	33	the	the	DET
ajote-8309	211	34	fraction	fraction	NOUN
ajote-8309	211	35	bars	bar	NOUN
ajote-8309	211	36	introduced	introduce	VERB
ajote-8309	211	37	by	by	ADP
ajote-8309	211	38	martin	martin	PROPN
ajote-8309	211	39	.	.	PUNCT
ajote-8309	212	1	figure	figure	NOUN
ajote-8309	212	2	2	2	NUM
ajote-8309	212	3	:	:	PUNCT
ajote-8309	212	4	standard	standard	ADJ
ajote-8309	212	5	4	4	NUM
ajote-8309	212	6	students	student	NOUN
ajote-8309	212	7	filling	fill	VERB
ajote-8309	212	8	out	out	ADP
ajote-8309	212	9	strip	strip	NOUN
ajote-8309	212	10	diagrams	diagram	NOUN
ajote-8309	212	11	according	accord	VERB
ajote-8309	212	12	to	to	ADP
ajote-8309	212	13	their	their	PRON
ajote-8309	212	14	respective	respective	ADJ
ajote-8309	212	15	fractions	fraction	NOUN
ajote-8309	212	16	.	.	PUNCT
ajote-8309	213	1	as	as	SCONJ
ajote-8309	213	2	martin	martin	PROPN
ajote-8309	213	3	anticipated	anticipated	PROPN
ajote-8309	213	4	,	,	PUNCT
ajote-8309	213	5	all	all	DET
ajote-8309	213	6	students	student	NOUN
ajote-8309	213	7	completed	complete	VERB
ajote-8309	213	8	the	the	DET
ajote-8309	213	9	task	task	NOUN
ajote-8309	213	10	successfully	successfully	ADV
ajote-8309	213	11	,	,	PUNCT
ajote-8309	213	12	noting	note	VERB
ajote-8309	213	13	that	that	SCONJ
ajote-8309	213	14	“	"	PUNCT
ajote-8309	213	15	most	most	ADJ
ajote-8309	213	16	of	of	ADP
ajote-8309	213	17	them	they	PRON
ajote-8309	213	18	were	be	AUX
ajote-8309	213	19	already	already	ADV
ajote-8309	213	20	familiar	familiar	ADJ
ajote-8309	213	21	with	with	ADP
ajote-8309	213	22	this	this	DET
ajote-8309	213	23	type	type	NOUN
ajote-8309	213	24	of	of	ADP
ajote-8309	213	25	representation	representation	NOUN
ajote-8309	213	26	.	.	PUNCT
ajote-8309	213	27	”	"	PUNCT
ajote-8309	214	1	he	he	PRON
ajote-8309	214	2	then	then	ADV
ajote-8309	214	3	introduced	introduce	VERB
ajote-8309	214	4	two	two	NUM
ajote-8309	214	5	similar	similar	ADJ
ajote-8309	214	6	exercises	exercise	NOUN
ajote-8309	214	7	,	,	PUNCT
ajote-8309	214	8	followed	follow	VERB
ajote-8309	214	9	by	by	ADP
ajote-8309	214	10	a	a	DET
ajote-8309	214	11	more	more	ADV
ajote-8309	214	12	complex	complex	ADJ
ajote-8309	214	13	task	task	NOUN
ajote-8309	214	14	in	in	ADP
ajote-8309	214	15	which	which	PRON
ajote-8309	214	16	the	the	DET
ajote-8309	214	17	fraction	fraction	NOUN
ajote-8309	214	18	bars	bar	NOUN
ajote-8309	214	19	were	be	AUX
ajote-8309	214	20	arranged	arrange	VERB
ajote-8309	214	21	perpendicularly	perpendicularly	ADV
ajote-8309	214	22	(	(	PUNCT
ajote-8309	214	23	task	task	NOUN
ajote-8309	214	24	3	3	NUM
ajote-8309	214	25	in	in	ADP
ajote-8309	214	26	figure	figure	NOUN
ajote-8309	214	27	3	3	NUM
ajote-8309	214	28	)	)	PUNCT
ajote-8309	214	29	.	.	PUNCT
ajote-8309	215	1	figure	figure	VERB
ajote-8309	215	2	3	3	NUM
ajote-8309	215	3	:	:	PUNCT
ajote-8309	215	4	students	student	NOUN
ajote-8309	215	5	’	'	PUNCT
ajote-8309	215	6	response	response	NOUN
ajote-8309	215	7	to	to	ADP
ajote-8309	215	8	task	task	NOUN
ajote-8309	215	9	3	3	NUM
ajote-8309	215	10	requiring	require	VERB
ajote-8309	215	11	geometrical	geometrical	ADJ
ajote-8309	215	12	representation	representation	NOUN
ajote-8309	215	13	of	of	ADP
ajote-8309	215	14	the	the	DET
ajote-8309	215	15	fraction	fraction	NOUN
ajote-8309	215	16	8/9	8/9	NUM
ajote-8309	215	17	.	.	PUNCT
ajote-8309	216	1	as	as	SCONJ
ajote-8309	216	2	shown	show	VERB
ajote-8309	216	3	in	in	ADP
ajote-8309	216	4	figure	figure	NOUN
ajote-8309	216	5	3	3	NUM
ajote-8309	216	6	,	,	PUNCT
ajote-8309	216	7	the	the	DET
ajote-8309	216	8	student	student	NOUN
ajote-8309	216	9	on	on	ADP
ajote-8309	216	10	the	the	DET
ajote-8309	216	11	left	left	NOUN
ajote-8309	216	12	shaded	shade	VERB
ajote-8309	216	13	one	one	NUM
ajote-8309	216	14	of	of	ADP
ajote-8309	216	15	the	the	DET
ajote-8309	216	16	nine	nine	NUM
ajote-8309	216	17	squares	square	NOUN
ajote-8309	216	18	in	in	ADP
ajote-8309	216	19	diagram	diagram	NOUN
ajote-8309	216	20	3	3	NUM
ajote-8309	216	21	.	.	PUNCT
ajote-8309	217	1	tracing	trace	VERB
ajote-8309	217	2	pre	pre	ADJ
ajote-8309	217	3	-	-	ADJ
ajote-8309	217	4	service	service	ADJ
ajote-8309	217	5	teachers	teacher	NOUN
ajote-8309	217	6	’	’	PART
ajote-8309	217	7	understanding	understanding	NOUN
ajote-8309	217	8	of	of	ADP
ajote-8309	217	9	specialized	specialized	ADJ
ajote-8309	217	10	content	content	NOUN
ajote-8309	217	11	knowledge	knowledge	NOUN
ajote-8309	217	12	for	for	ADP
ajote-8309	217	13	sequencing	sequence	VERB
ajote-8309	217	14	and	and	CCONJ
ajote-8309	217	15	structuring	structure	VERB
ajote-8309	217	16	mathematics	mathematic	NOUN
ajote-8309	217	17	learning	learn	VERB
ajote-8309	217	18	in	in	ADP
ajote-8309	217	19	low	low	ADJ
ajote-8309	217	20	-	-	PUNCT
ajote-8309	217	21	resource	resource	NOUN
ajote-8309	217	22	malawi	malawi	PROPN
ajote-8309	217	23	classrooms	classroom	NOUN
ajote-8309	217	24	ajote	ajote	VERB
ajote-8309	217	25	vol.14	vol.14	NOUN
ajote-8309	217	26	no.2	no.2	PROPN
ajote-8309	217	27	(	(	PUNCT
ajote-8309	217	28	2025	2025	NUM
ajote-8309	217	29	)	)	PUNCT
ajote-8309	217	30	,	,	PUNCT
ajote-8309	217	31	92	92	NUM
ajote-8309	217	32	-	-	SYM
ajote-8309	217	33	116	116	NUM
ajote-8309	217	34	107	107	NUM
ajote-8309	217	35	while	while	SCONJ
ajote-8309	217	36	previous	previous	ADJ
ajote-8309	217	37	strip	strip	NOUN
ajote-8309	217	38	diagrams	diagram	NOUN
ajote-8309	217	39	had	have	AUX
ajote-8309	217	40	been	be	AUX
ajote-8309	217	41	presented	present	VERB
ajote-8309	217	42	horizontally	horizontally	ADV
ajote-8309	217	43	,	,	PUNCT
ajote-8309	217	44	the	the	DET
ajote-8309	217	45	use	use	NOUN
ajote-8309	217	46	of	of	ADP
ajote-8309	217	47	both	both	CCONJ
ajote-8309	217	48	horizontal	horizontal	ADJ
ajote-8309	217	49	and	and	CCONJ
ajote-8309	217	50	vertical	vertical	ADJ
ajote-8309	217	51	bars	bar	NOUN
ajote-8309	217	52	in	in	ADP
ajote-8309	217	53	task	task	NOUN
ajote-8309	217	54	3	3	NUM
ajote-8309	217	55	prompted	prompt	VERB
ajote-8309	217	56	students	student	NOUN
ajote-8309	217	57	to	to	PART
ajote-8309	217	58	engage	engage	VERB
ajote-8309	217	59	with	with	ADP
ajote-8309	217	60	alternative	alternative	ADJ
ajote-8309	217	61	forms	form	NOUN
ajote-8309	217	62	of	of	ADP
ajote-8309	217	63	representation	representation	NOUN
ajote-8309	217	64	.	.	PUNCT
ajote-8309	218	1	this	this	DET
ajote-8309	218	2	shift	shift	NOUN
ajote-8309	218	3	in	in	ADP
ajote-8309	218	4	format	format	NOUN
ajote-8309	218	5	encouraged	encourage	VERB
ajote-8309	218	6	them	they	PRON
ajote-8309	218	7	to	to	PART
ajote-8309	218	8	reconsider	reconsider	VERB
ajote-8309	218	9	how	how	SCONJ
ajote-8309	218	10	fractions	fraction	NOUN
ajote-8309	218	11	can	can	AUX
ajote-8309	218	12	be	be	AUX
ajote-8309	218	13	visually	visually	ADV
ajote-8309	218	14	constructed	construct	VERB
ajote-8309	218	15	.	.	PUNCT
ajote-8309	219	1	martin	martin	PROPN
ajote-8309	219	2	elaborated	elaborate	VERB
ajote-8309	219	3	on	on	ADP
ajote-8309	219	4	his	his	PRON
ajote-8309	219	5	interpretation	interpretation	NOUN
ajote-8309	219	6	of	of	ADP
ajote-8309	219	7	this	this	DET
ajote-8309	219	8	response	response	NOUN
ajote-8309	219	9	during	during	ADP
ajote-8309	219	10	the	the	DET
ajote-8309	219	11	post	post	ADJ
ajote-8309	219	12	-	-	ADJ
ajote-8309	219	13	lesson	lesson	ADJ
ajote-8309	219	14	interview	interview	NOUN
ajote-8309	219	15	.	.	PUNCT
ajote-8309	220	1	excerpt	excerpt	PROPN
ajote-8309	220	2	iii	iii	PROPN
ajote-8309	220	3	:	:	PUNCT
ajote-8309	220	4	understanding	understand	VERB
ajote-8309	220	5	the	the	DET
ajote-8309	220	6	connections	connection	NOUN
ajote-8309	220	7	among	among	ADP
ajote-8309	220	8	activities	activity	NOUN
ajote-8309	220	9	to	to	PART
ajote-8309	220	10	organise	organise	VERB
ajote-8309	220	11	students	student	NOUN
ajote-8309	220	12	’	'	PUNCT
ajote-8309	220	13	learning	learning	NOUN
ajote-8309	220	14	.	.	PUNCT
ajote-8309	221	1	line	line	NOUN
ajote-8309	221	2	interlocutor	interlocutor	NOUN
ajote-8309	221	3	speech	speech	NOUN
ajote-8309	221	4	1	1	NUM
ajote-8309	221	5	researcher	researcher	NOUN
ajote-8309	221	6	:	:	PUNCT
ajote-8309	221	7	in	in	ADP
ajote-8309	221	8	this	this	DET
ajote-8309	221	9	situation	situation	NOUN
ajote-8309	221	10	,	,	PUNCT
ajote-8309	221	11	why	why	SCONJ
ajote-8309	221	12	did	do	AUX
ajote-8309	221	13	that	that	DET
ajote-8309	221	14	student	student	NOUN
ajote-8309	221	15	choose	choose	VERB
ajote-8309	221	16	to	to	PART
ajote-8309	221	17	do	do	VERB
ajote-8309	221	18	that	that	PRON
ajote-8309	221	19	?	?	PUNCT
ajote-8309	222	1	[	[	X
ajote-8309	222	2	use	use	VERB
ajote-8309	222	3	a	a	DET
ajote-8309	222	4	different	different	ADJ
ajote-8309	222	5	approach	approach	NOUN
ajote-8309	222	6	to	to	PART
ajote-8309	222	7	solve	solve	VERB
ajote-8309	222	8	the	the	DET
ajote-8309	222	9	mathematical	mathematical	ADJ
ajote-8309	222	10	problem	problem	NOUN
ajote-8309	222	11	]	]	PUNCT
ajote-8309	222	12	do	do	AUX
ajote-8309	222	13	you	you	PRON
ajote-8309	222	14	think	think	VERB
ajote-8309	222	15	this	this	PRON
ajote-8309	222	16	was	be	AUX
ajote-8309	222	17	a	a	DET
ajote-8309	222	18	mistake	mistake	NOUN
ajote-8309	222	19	?	?	PUNCT
ajote-8309	223	1	2	2	NUM
ajote-8309	223	2	martin	martin	NOUN
ajote-8309	223	3	:	:	PUNCT
ajote-8309	224	1	yes	yes	INTJ
ajote-8309	224	2	!	!	PUNCT
ajote-8309	225	1	this	this	PRON
ajote-8309	225	2	was	be	AUX
ajote-8309	225	3	a	a	DET
ajote-8309	225	4	mistake	mistake	NOUN
ajote-8309	225	5	.	.	PUNCT
ajote-8309	226	1	she	she	PRON
ajote-8309	226	2	was	be	AUX
ajote-8309	226	3	supposed	suppose	VERB
ajote-8309	226	4	to	to	PART
ajote-8309	226	5	put	put	VERB
ajote-8309	226	6	them	they	PRON
ajote-8309	226	7	all	all	PRON
ajote-8309	226	8	together	together	ADV
ajote-8309	226	9	not	not	PART
ajote-8309	226	10	isolated	isolate	VERB
ajote-8309	226	11	!	!	PUNCT
ajote-8309	227	1	3	3	NUM
ajote-8309	227	2	researcher	researcher	NOUN
ajote-8309	227	3	:	:	PUNCT
ajote-8309	227	4	but	but	CCONJ
ajote-8309	227	5	…	…	PUNCT
ajote-8309	227	6	look	look	VERB
ajote-8309	227	7	at	at	ADP
ajote-8309	227	8	the	the	DET
ajote-8309	227	9	answer	answer	NOUN
ajote-8309	227	10	…	…	PUNCT
ajote-8309	227	11	is	be	AUX
ajote-8309	227	12	it	it	PRON
ajote-8309	227	13	not	not	PART
ajote-8309	227	14	the	the	DET
ajote-8309	227	15	same	same	ADJ
ajote-8309	227	16	?	?	PUNCT
ajote-8309	228	1	4	4	NUM
ajote-8309	228	2	martin	martin	NOUN
ajote-8309	228	3	:	:	PUNCT
ajote-8309	228	4	yes	yes	INTJ
ajote-8309	228	5	,	,	PUNCT
ajote-8309	228	6	the	the	DET
ajote-8309	228	7	answer	answer	NOUN
ajote-8309	228	8	is	be	AUX
ajote-8309	228	9	the	the	DET
ajote-8309	228	10	same	same	ADJ
ajote-8309	228	11	,	,	PUNCT
ajote-8309	228	12	but	but	CCONJ
ajote-8309	228	13	i	i	PRON
ajote-8309	228	14	wanted	want	VERB
ajote-8309	228	15	her	she	PRON
ajote-8309	228	16	to	to	PART
ajote-8309	228	17	put	put	VERB
ajote-8309	228	18	all	all	DET
ajote-8309	228	19	coloured	coloured	ADJ
ajote-8309	228	20	strips	strip	NOUN
ajote-8309	228	21	together	together	ADV
ajote-8309	228	22	.	.	PUNCT
ajote-8309	229	1	5	5	NUM
ajote-8309	229	2	researcher	researcher	NOUN
ajote-8309	229	3	:	:	PUNCT
ajote-8309	229	4	why	why	SCONJ
ajote-8309	229	5	?	?	PUNCT
ajote-8309	230	1	6	6	NUM
ajote-8309	230	2	martin	martin	NOUN
ajote-8309	230	3	:	:	PUNCT
ajote-8309	230	4	because	because	SCONJ
ajote-8309	230	5	…	…	PUNCT
ajote-8309	230	6	you	you	PRON
ajote-8309	230	7	know	know	VERB
ajote-8309	230	8	…	…	PUNCT
ajote-8309	230	9	we	we	PRON
ajote-8309	230	10	need	need	VERB
ajote-8309	230	11	to	to	PART
ajote-8309	230	12	follow	follow	VERB
ajote-8309	230	13	the	the	DET
ajote-8309	230	14	textbook	textbook	NOUN
ajote-8309	230	15	,	,	PUNCT
ajote-8309	230	16	otherwise	otherwise	ADV
ajote-8309	230	17	,	,	PUNCT
ajote-8309	230	18	the	the	DET
ajote-8309	230	19	others	other	NOUN
ajote-8309	230	20	[	[	X
ajote-8309	230	21	students	student	NOUN
ajote-8309	230	22	]	]	PUNCT
ajote-8309	230	23	will	will	AUX
ajote-8309	230	24	be	be	AUX
ajote-8309	230	25	confused	confuse	VERB
ajote-8309	230	26	!	!	PUNCT
ajote-8309	231	1	7	7	NUM
ajote-8309	231	2	researcher	researcher	NOUN
ajote-8309	231	3	:	:	PUNCT
ajote-8309	231	4	but	but	CCONJ
ajote-8309	231	5	…	…	PUNCT
ajote-8309	231	6	did	do	AUX
ajote-8309	231	7	you	you	PRON
ajote-8309	231	8	tell	tell	VERB
ajote-8309	231	9	them	they	PRON
ajote-8309	231	10	you	you	PRON
ajote-8309	231	11	wanted	want	VERB
ajote-8309	231	12	all	all	DET
ajote-8309	231	13	coloured	coloured	ADJ
ajote-8309	231	14	blocks	block	NOUN
ajote-8309	231	15	to	to	PART
ajote-8309	231	16	be	be	AUX
ajote-8309	231	17	joined	join	VERB
ajote-8309	231	18	together	together	ADV
ajote-8309	231	19	?	?	PUNCT
ajote-8309	232	1	8	8	NUM
ajote-8309	232	2	martin	martin	NOUN
ajote-8309	232	3	:	:	PUNCT
ajote-8309	232	4	no	no	INTJ
ajote-8309	232	5	,	,	PUNCT
ajote-8309	232	6	i	i	PRON
ajote-8309	232	7	did	do	VERB
ajote-8309	232	8	not	not	PART
ajote-8309	232	9	!	!	PUNCT
ajote-8309	233	1	but	but	CCONJ
ajote-8309	233	2	i	i	PRON
ajote-8309	233	3	should	should	AUX
ajote-8309	233	4	have	have	AUX
ajote-8309	233	5	done	do	VERB
ajote-8309	233	6	that	that	PRON
ajote-8309	233	7	!	!	PUNCT
ajote-8309	234	1	it	it	PRON
ajote-8309	234	2	could	could	AUX
ajote-8309	234	3	avoid	avoid	VERB
ajote-8309	234	4	this	this	DET
ajote-8309	234	5	mistake	mistake	NOUN
ajote-8309	234	6	.	.	PUNCT
ajote-8309	235	1	everton	everton	PROPN
ajote-8309	235	2	jacinto	jacinto	PROPN
ajote-8309	235	3	,	,	PUNCT
ajote-8309	235	4	arne	arne	ADJ
ajote-8309	235	5	jakobsen	jakobsen	NOUN
ajote-8309	235	6	,	,	PUNCT
ajote-8309	235	7	raymond	raymond	PROPN
ajote-8309	235	8	bjuland	bjuland	PROPN
ajote-8309	235	9	ajote	ajote	PROPN
ajote-8309	235	10	vol.14	vol.14	NOUN
ajote-8309	235	11	no.2	no.2	PROPN
ajote-8309	235	12	(	(	PUNCT
ajote-8309	235	13	2025	2025	NUM
ajote-8309	235	14	)	)	PUNCT
ajote-8309	235	15	,	,	PUNCT
ajote-8309	235	16	92	92	NUM
ajote-8309	235	17	-	-	SYM
ajote-8309	235	18	116	116	NUM
ajote-8309	235	19	108	108	NUM
ajote-8309	235	20	9	9	NUM
ajote-8309	235	21	researcher	researcher	NOUN
ajote-8309	235	22	:	:	PUNCT
ajote-8309	235	23	ok	ok	INTJ
ajote-8309	235	24	…	…	PUNCT
ajote-8309	235	25	so	so	ADV
ajote-8309	235	26	,	,	PUNCT
ajote-8309	235	27	for	for	ADP
ajote-8309	235	28	this	this	DET
ajote-8309	235	29	student	student	NOUN
ajote-8309	235	30	,	,	PUNCT
ajote-8309	235	31	is	be	AUX
ajote-8309	235	32	there	there	PRON
ajote-8309	235	33	anything	anything	PRON
ajote-8309	235	34	you	you	PRON
ajote-8309	235	35	could	could	AUX
ajote-8309	235	36	have	have	AUX
ajote-8309	235	37	done	do	VERB
ajote-8309	235	38	to	to	PART
ajote-8309	235	39	help	help	VERB
ajote-8309	235	40	her	she	PRON
ajote-8309	235	41	?	?	PUNCT
ajote-8309	236	1	10	10	NUM
ajote-8309	236	2	martin	martin	NOUN
ajote-8309	236	3	:	:	PUNCT
ajote-8309	237	1	yes	yes	INTJ
ajote-8309	237	2	,	,	PUNCT
ajote-8309	237	3	i	i	PRON
ajote-8309	237	4	could	could	AUX
ajote-8309	237	5	have	have	AUX
ajote-8309	237	6	added	add	VERB
ajote-8309	237	7	another	another	DET
ajote-8309	237	8	example	example	NOUN
ajote-8309	237	9	before	before	ADP
ajote-8309	237	10	this	this	DET
ajote-8309	237	11	one	one	NOUN
ajote-8309	237	12	,	,	PUNCT
ajote-8309	237	13	a	a	DET
ajote-8309	237	14	simpler	simple	ADJ
ajote-8309	237	15	one	one	NOUN
ajote-8309	237	16	.	.	PUNCT
ajote-8309	238	1	like	like	ADP
ajote-8309	238	2	this	this	PRON
ajote-8309	238	3	…	…	PUNCT
ajote-8309	238	4	martin	martin	PROPN
ajote-8309	238	5	illustrated	illustrate	VERB
ajote-8309	238	6	his	his	PRON
ajote-8309	238	7	idea	idea	NOUN
ajote-8309	238	8	by	by	ADP
ajote-8309	238	9	drawing	draw	VERB
ajote-8309	238	10	the	the	DET
ajote-8309	238	11	following	follow	VERB
ajote-8309	238	12	figure	figure	NOUN
ajote-8309	238	13	:	:	PUNCT
ajote-8309	238	14	11	11	NUM
ajote-8309	238	15	martin	martin	NOUN
ajote-8309	238	16	:	:	PUNCT
ajote-8309	238	17	so	so	ADV
ajote-8309	238	18	,	,	PUNCT
ajote-8309	238	19	you	you	PRON
ajote-8309	238	20	can	can	AUX
ajote-8309	238	21	see	see	VERB
ajote-8309	238	22	that	that	SCONJ
ajote-8309	238	23	this	this	DET
ajote-8309	238	24	example	example	NOUN
ajote-8309	238	25	is	be	AUX
ajote-8309	238	26	much	much	ADV
ajote-8309	238	27	easier	easy	ADJ
ajote-8309	238	28	than	than	ADP
ajote-8309	238	29	the	the	DET
ajote-8309	238	30	last	last	ADJ
ajote-8309	238	31	one	one	NUM
ajote-8309	238	32	.	.	PUNCT
ajote-8309	239	1	so	so	ADV
ajote-8309	239	2	,	,	PUNCT
ajote-8309	239	3	it	it	PRON
ajote-8309	239	4	would	would	AUX
ajote-8309	239	5	help	help	VERB
ajote-8309	239	6	learners	learner	NOUN
ajote-8309	239	7	to	to	PART
ajote-8309	239	8	understand	understand	VERB
ajote-8309	239	9	and	and	CCONJ
ajote-8309	239	10	solve	solve	VERB
ajote-8309	239	11	more	more	ADV
ajote-8309	239	12	complex	complex	ADJ
ajote-8309	239	13	problems	problem	NOUN
ajote-8309	239	14	like	like	ADP
ajote-8309	239	15	this	this	DET
ajote-8309	239	16	one	one	NUM
ajote-8309	239	17	.	.	PUNCT
ajote-8309	240	1	[	[	X
ajote-8309	240	2	martin	martin	NOUN
ajote-8309	240	3	points	point	VERB
ajote-8309	240	4	to	to	ADP
ajote-8309	240	5	the	the	DET
ajote-8309	240	6	figure	figure	NOUN
ajote-8309	240	7	in	in	ADP
ajote-8309	240	8	item	item	NOUN
ajote-8309	240	9	3	3	NUM
ajote-8309	240	10	that	that	PRON
ajote-8309	240	11	represents	represent	VERB
ajote-8309	240	12	the	the	DET
ajote-8309	240	13	8/9	8/9	NUM
ajote-8309	240	14	fraction	fraction	NOUN
ajote-8309	240	15	]	]	PUNCT
ajote-8309	240	16	12	12	NUM
ajote-8309	240	17	researcher	researcher	NOUN
ajote-8309	240	18	:	:	PUNCT
ajote-8309	240	19	hum	hum	PROPN
ajote-8309	240	20	…	…	PUNCT
ajote-8309	240	21	.	.	PUNCT
ajote-8309	241	1	ok	ok	INTJ
ajote-8309	241	2	!	!	PUNCT
ajote-8309	242	1	but	but	CCONJ
ajote-8309	242	2	here	here	ADV
ajote-8309	242	3	…	…	PUNCT
ajote-8309	242	4	in	in	ADP
ajote-8309	242	5	this	this	DET
ajote-8309	242	6	situation	situation	NOUN
ajote-8309	242	7	,	,	PUNCT
ajote-8309	242	8	would	would	AUX
ajote-8309	242	9	you	you	PRON
ajote-8309	242	10	not	not	PART
ajote-8309	242	11	consider	consider	VERB
ajote-8309	242	12	what	what	PRON
ajote-8309	242	13	she	she	PRON
ajote-8309	242	14	did	do	VERB
ajote-8309	242	15	as	as	ADV
ajote-8309	242	16	correct	correct	ADJ
ajote-8309	242	17	?	?	PUNCT
ajote-8309	243	1	13	13	NUM
ajote-8309	243	2	martin	martin	NOUN
ajote-8309	243	3	:	:	PUNCT
ajote-8309	243	4	i	i	PRON
ajote-8309	243	5	can	can	AUX
ajote-8309	243	6	consider	consider	VERB
ajote-8309	243	7	it	it	PRON
ajote-8309	243	8	,	,	PUNCT
ajote-8309	243	9	but	but	CCONJ
ajote-8309	243	10	sometimes	sometimes	ADV
ajote-8309	243	11	it	it	PRON
ajote-8309	243	12	is	be	AUX
ajote-8309	243	13	very	very	ADV
ajote-8309	243	14	hard	hard	ADJ
ajote-8309	243	15	to	to	PART
ajote-8309	243	16	know	know	VERB
ajote-8309	243	17	what	what	PRON
ajote-8309	243	18	the	the	DET
ajote-8309	243	19	learners	learner	NOUN
ajote-8309	243	20	will	will	AUX
ajote-8309	243	21	do	do	VERB
ajote-8309	243	22	…	…	PUNCT
ajote-8309	243	23	.	.	PUNCT
ajote-8309	244	1	that	that	PRON
ajote-8309	244	2	’s	’	VERB
ajote-8309	244	3	why	why	SCONJ
ajote-8309	244	4	i	i	PRON
ajote-8309	244	5	think	think	VERB
ajote-8309	244	6	it	it	PRON
ajote-8309	244	7	is	be	AUX
ajote-8309	244	8	valuable	valuable	ADJ
ajote-8309	244	9	,	,	PUNCT
ajote-8309	244	10	first	first	ADV
ajote-8309	244	11	,	,	PUNCT
ajote-8309	244	12	to	to	PART
ajote-8309	244	13	focus	focus	VERB
ajote-8309	244	14	on	on	ADP
ajote-8309	244	15	the	the	DET
ajote-8309	244	16	textbook	textbook	NOUN
ajote-8309	244	17	.	.	PUNCT
ajote-8309	245	1	14	14	NUM
ajote-8309	245	2	researcher	researcher	NOUN
ajote-8309	245	3	:	:	PUNCT
ajote-8309	245	4	interesting	interesting	ADJ
ajote-8309	245	5	!	!	PUNCT
ajote-8309	246	1	so	so	ADV
ajote-8309	246	2	,	,	PUNCT
ajote-8309	246	3	if	if	SCONJ
ajote-8309	246	4	i	i	PRON
ajote-8309	246	5	come	come	VERB
ajote-8309	246	6	to	to	ADP
ajote-8309	246	7	malawi	malawi	PROPN
ajote-8309	246	8	as	as	ADP
ajote-8309	246	9	a	a	DET
ajote-8309	246	10	teacher	teacher	NOUN
ajote-8309	246	11	and	and	CCONJ
ajote-8309	246	12	decide	decide	VERB
ajote-8309	246	13	to	to	PART
ajote-8309	246	14	teach	teach	VERB
ajote-8309	246	15	this	this	DET
ajote-8309	246	16	content	content	NOUN
ajote-8309	246	17	in	in	ADP
ajote-8309	246	18	standard	standard	ADJ
ajote-8309	246	19	4	4	NUM
ajote-8309	246	20	,	,	PUNCT
ajote-8309	246	21	what	what	PRON
ajote-8309	246	22	should	should	AUX
ajote-8309	246	23	i	i	PRON
ajote-8309	246	24	know	know	VERB
ajote-8309	246	25	?	?	PUNCT
ajote-8309	247	1	what	what	PRON
ajote-8309	247	2	should	should	AUX
ajote-8309	247	3	i	i	PRON
ajote-8309	247	4	do	do	VERB
ajote-8309	247	5	?	?	PUNCT
ajote-8309	248	1	15	15	NUM
ajote-8309	248	2	martin	martin	NOUN
ajote-8309	248	3	:	:	PUNCT
ajote-8309	248	4	if	if	SCONJ
ajote-8309	248	5	you	you	PRON
ajote-8309	248	6	are	be	AUX
ajote-8309	248	7	going	go	VERB
ajote-8309	248	8	to	to	PART
ajote-8309	248	9	teach	teach	VERB
ajote-8309	248	10	this	this	DET
ajote-8309	248	11	topic	topic	NOUN
ajote-8309	248	12	in	in	ADP
ajote-8309	248	13	malawi	malawi	PROPN
ajote-8309	248	14	,	,	PUNCT
ajote-8309	248	15	you	you	PRON
ajote-8309	248	16	must	must	AUX
ajote-8309	248	17	consider	consider	VERB
ajote-8309	248	18	what	what	PRON
ajote-8309	248	19	learners	learner	NOUN
ajote-8309	248	20	already	already	ADV
ajote-8309	248	21	know	know	VERB
ajote-8309	248	22	and	and	CCONJ
ajote-8309	248	23	use	use	VERB
ajote-8309	248	24	the	the	DET
ajote-8309	248	25	textbook	textbook	NOUN
ajote-8309	248	26	as	as	ADP
ajote-8309	248	27	the	the	DET
ajote-8309	248	28	main	main	ADJ
ajote-8309	248	29	reference	reference	NOUN
ajote-8309	248	30	.	.	PUNCT
ajote-8309	249	1	as	as	SCONJ
ajote-8309	249	2	discussed	discuss	VERB
ajote-8309	249	3	above	above	ADV
ajote-8309	249	4	,	,	PUNCT
ajote-8309	249	5	martin	martin	PROPN
ajote-8309	249	6	regarded	regard	VERB
ajote-8309	249	7	the	the	DET
ajote-8309	249	8	student	student	NOUN
ajote-8309	249	9	’s	’s	PART
ajote-8309	249	10	response	response	NOUN
ajote-8309	249	11	as	as	ADP
ajote-8309	249	12	incorrect	incorrect	ADJ
ajote-8309	249	13	primarily	primarily	ADV
ajote-8309	249	14	because	because	SCONJ
ajote-8309	249	15	it	it	PRON
ajote-8309	249	16	did	do	AUX
ajote-8309	249	17	not	not	PART
ajote-8309	249	18	conform	conform	VERB
ajote-8309	249	19	to	to	ADP
ajote-8309	249	20	the	the	DET
ajote-8309	249	21	procedures	procedure	NOUN
ajote-8309	249	22	outlined	outline	VERB
ajote-8309	249	23	in	in	ADP
ajote-8309	249	24	the	the	DET
ajote-8309	249	25	textbook	textbook	NOUN
ajote-8309	249	26	.	.	PUNCT
ajote-8309	250	1	he	he	PRON
ajote-8309	250	2	justified	justify	VERB
ajote-8309	250	3	this	this	DET
ajote-8309	250	4	stance	stance	NOUN
ajote-8309	250	5	by	by	ADP
ajote-8309	250	6	emphasizing	emphasize	VERB
ajote-8309	250	7	the	the	DET
ajote-8309	250	8	importance	importance	NOUN
ajote-8309	250	9	of	of	ADP
ajote-8309	250	10	following	follow	VERB
ajote-8309	250	11	textbook	textbook	NOUN
ajote-8309	250	12	conventions	convention	NOUN
ajote-8309	250	13	to	to	PART
ajote-8309	250	14	ensure	ensure	VERB
ajote-8309	250	15	that	that	SCONJ
ajote-8309	250	16	all	all	DET
ajote-8309	250	17	students	student	NOUN
ajote-8309	250	18	develop	develop	VERB
ajote-8309	250	19	a	a	DET
ajote-8309	250	20	coherent	coherent	ADJ
ajote-8309	250	21	sense	sense	NOUN
ajote-8309	250	22	of	of	ADP
ajote-8309	250	23	grouping	grouping	NOUN
ajote-8309	250	24	and	and	CCONJ
ajote-8309	250	25	the	the	DET
ajote-8309	250	26	capacity	capacity	NOUN
ajote-8309	250	27	to	to	PART
ajote-8309	250	28	construct	construct	VERB
ajote-8309	250	29	complex	complex	ADJ
ajote-8309	250	30	geometric	geometric	ADJ
ajote-8309	250	31	tracing	trace	VERB
ajote-8309	250	32	pre	pre	ADJ
ajote-8309	250	33	-	-	ADJ
ajote-8309	250	34	service	service	ADJ
ajote-8309	250	35	teachers	teacher	NOUN
ajote-8309	250	36	’	’	PART
ajote-8309	250	37	understanding	understanding	NOUN
ajote-8309	250	38	of	of	ADP
ajote-8309	250	39	specialized	specialized	ADJ
ajote-8309	250	40	content	content	NOUN
ajote-8309	250	41	knowledge	knowledge	NOUN
ajote-8309	250	42	for	for	ADP
ajote-8309	250	43	sequencing	sequence	VERB
ajote-8309	250	44	and	and	CCONJ
ajote-8309	250	45	structuring	structure	VERB
ajote-8309	250	46	mathematics	mathematic	NOUN
ajote-8309	250	47	learning	learn	VERB
ajote-8309	250	48	in	in	ADP
ajote-8309	250	49	low	low	ADJ
ajote-8309	250	50	-	-	PUNCT
ajote-8309	250	51	resource	resource	NOUN
ajote-8309	250	52	malawi	malawi	PROPN
ajote-8309	250	53	classrooms	classroom	NOUN
ajote-8309	250	54	ajote	ajote	VERB
ajote-8309	250	55	vol.14	vol.14	NOUN
ajote-8309	250	56	no.2	no.2	PROPN
ajote-8309	250	57	(	(	PUNCT
ajote-8309	250	58	2025	2025	NUM
ajote-8309	250	59	)	)	PUNCT
ajote-8309	250	60	,	,	PUNCT
ajote-8309	250	61	92	92	NUM
ajote-8309	250	62	-	-	SYM
ajote-8309	250	63	116	116	NUM
ajote-8309	250	64	109	109	NUM
ajote-8309	250	65	representations	representation	NOUN
ajote-8309	250	66	of	of	ADP
ajote-8309	250	67	fractional	fractional	ADJ
ajote-8309	250	68	numbers	number	NOUN
ajote-8309	250	69	(	(	PUNCT
ajote-8309	250	70	excerpt	excerpt	NOUN
ajote-8309	250	71	iii	iii	PROPN
ajote-8309	250	72	,	,	PUNCT
ajote-8309	250	73	line	line	NOUN
ajote-8309	250	74	11	11	NUM
ajote-8309	250	75	)	)	PUNCT
ajote-8309	250	76	.	.	PUNCT
ajote-8309	251	1	in	in	ADP
ajote-8309	251	2	the	the	DET
ajote-8309	251	3	post	post	ADJ
ajote-8309	251	4	-	-	ADJ
ajote-8309	251	5	lesson	lesson	ADJ
ajote-8309	251	6	interview	interview	NOUN
ajote-8309	251	7	,	,	PUNCT
ajote-8309	251	8	martin	martin	PROPN
ajote-8309	251	9	elaborated	elaborate	VERB
ajote-8309	251	10	:	:	PUNCT
ajote-8309	251	11	“	"	PUNCT
ajote-8309	251	12	it	it	PRON
ajote-8309	251	13	can	can	AUX
ajote-8309	251	14	be	be	AUX
ajote-8309	251	15	hard	hard	ADJ
ajote-8309	251	16	for	for	SCONJ
ajote-8309	251	17	them	they	PRON
ajote-8309	251	18	to	to	PART
ajote-8309	251	19	count	count	VERB
ajote-8309	251	20	the	the	DET
ajote-8309	251	21	bars	bar	NOUN
ajote-8309	251	22	if	if	SCONJ
ajote-8309	251	23	they	they	PRON
ajote-8309	251	24	do	do	AUX
ajote-8309	251	25	n’t	not	PART
ajote-8309	251	26	put	put	VERB
ajote-8309	251	27	them	they	PRON
ajote-8309	251	28	together	together	ADV
ajote-8309	251	29	;	;	PUNCT
ajote-8309	251	30	as	as	SCONJ
ajote-8309	251	31	i	i	PRON
ajote-8309	251	32	said	say	VERB
ajote-8309	251	33	,	,	PUNCT
ajote-8309	251	34	they	they	PRON
ajote-8309	251	35	can	can	AUX
ajote-8309	251	36	get	get	AUX
ajote-8309	251	37	confused	confuse	VERB
ajote-8309	251	38	.	.	PUNCT
ajote-8309	251	39	”	"	PUNCT
ajote-8309	252	1	he	he	PRON
ajote-8309	252	2	acknowledged	acknowledge	VERB
ajote-8309	252	3	that	that	SCONJ
ajote-8309	252	4	the	the	DET
ajote-8309	252	5	student	student	NOUN
ajote-8309	252	6	might	might	AUX
ajote-8309	252	7	have	have	AUX
ajote-8309	252	8	understood	understand	VERB
ajote-8309	252	9	the	the	DET
ajote-8309	252	10	task	task	NOUN
ajote-8309	252	11	differently	differently	ADV
ajote-8309	252	12	had	have	AUX
ajote-8309	252	13	he	he	PRON
ajote-8309	252	14	clarified	clarify	VERB
ajote-8309	252	15	beforehand	beforehand	ADV
ajote-8309	252	16	that	that	SCONJ
ajote-8309	252	17	the	the	DET
ajote-8309	252	18	fraction	fraction	NOUN
ajote-8309	252	19	bars	bar	NOUN
ajote-8309	252	20	should	should	AUX
ajote-8309	252	21	be	be	AUX
ajote-8309	252	22	filled	fill	VERB
ajote-8309	252	23	without	without	ADP
ajote-8309	252	24	leaving	leave	VERB
ajote-8309	252	25	any	any	DET
ajote-8309	252	26	gaps	gap	NOUN
ajote-8309	252	27	(	(	PUNCT
ajote-8309	252	28	excerpt	excerpt	NOUN
ajote-8309	252	29	iii	iii	NOUN
ajote-8309	252	30	,	,	PUNCT
ajote-8309	252	31	line	line	NOUN
ajote-8309	252	32	8)	8)	NUM
ajote-8309	252	33	.	.	PUNCT
ajote-8309	253	1	martin	martin	PROPN
ajote-8309	253	2	further	further	PROPN
ajote-8309	253	3	noted	note	VERB
ajote-8309	253	4	that	that	SCONJ
ajote-8309	253	5	,	,	PUNCT
ajote-8309	253	6	because	because	SCONJ
ajote-8309	253	7	students	student	NOUN
ajote-8309	253	8	require	require	VERB
ajote-8309	253	9	clear	clear	ADJ
ajote-8309	253	10	guidance	guidance	NOUN
ajote-8309	253	11	,	,	PUNCT
ajote-8309	253	12	mathematics	mathematic	NOUN
ajote-8309	253	13	lessons	lesson	NOUN
ajote-8309	253	14	must	must	AUX
ajote-8309	253	15	follow	follow	VERB
ajote-8309	253	16	a	a	DET
ajote-8309	253	17	logical	logical	ADJ
ajote-8309	253	18	structure	structure	NOUN
ajote-8309	253	19	,	,	PUNCT
ajote-8309	253	20	aligned	align	VERB
ajote-8309	253	21	with	with	ADP
ajote-8309	253	22	the	the	DET
ajote-8309	253	23	instructional	instructional	ADJ
ajote-8309	253	24	guidelines	guideline	NOUN
ajote-8309	253	25	specified	specify	VERB
ajote-8309	253	26	in	in	ADP
ajote-8309	253	27	the	the	DET
ajote-8309	253	28	textbook	textbook	NOUN
ajote-8309	253	29	for	for	ADP
ajote-8309	253	30	that	that	DET
ajote-8309	253	31	grade	grade	NOUN
ajote-8309	253	32	level	level	NOUN
ajote-8309	253	33	(	(	PUNCT
ajote-8309	253	34	excerpt	excerpt	NOUN
ajote-8309	253	35	iii	iii	PROPN
ajote-8309	253	36	,	,	PUNCT
ajote-8309	253	37	lines	line	NOUN
ajote-8309	253	38	13	13	NUM
ajote-8309	253	39	and	and	CCONJ
ajote-8309	253	40	15	15	NUM
ajote-8309	253	41	)	)	PUNCT
ajote-8309	253	42	.	.	PUNCT
ajote-8309	254	1	the	the	DET
ajote-8309	254	2	idea	idea	NOUN
ajote-8309	254	3	of	of	ADP
ajote-8309	254	4	providing	provide	VERB
ajote-8309	254	5	simpler	simple	ADJ
ajote-8309	254	6	and	and	CCONJ
ajote-8309	254	7	more	more	ADV
ajote-8309	254	8	connected	connected	ADJ
ajote-8309	254	9	tasks	task	NOUN
ajote-8309	254	10	for	for	ADP
ajote-8309	254	11	students	student	NOUN
ajote-8309	254	12	emerged	emerge	VERB
ajote-8309	254	13	as	as	ADP
ajote-8309	254	14	a	a	DET
ajote-8309	254	15	new	new	ADJ
ajote-8309	254	16	pedagogical	pedagogical	ADJ
ajote-8309	254	17	approach	approach	NOUN
ajote-8309	254	18	to	to	ADP
ajote-8309	254	19	sequencing	sequence	VERB
ajote-8309	254	20	and	and	CCONJ
ajote-8309	254	21	structuring	structure	VERB
ajote-8309	254	22	mathematical	mathematical	ADJ
ajote-8309	254	23	learning	learning	NOUN
ajote-8309	254	24	.	.	PUNCT
ajote-8309	255	1	to	to	PART
ajote-8309	255	2	support	support	VERB
ajote-8309	255	3	his	his	PRON
ajote-8309	255	4	students	student	NOUN
ajote-8309	255	5	in	in	ADP
ajote-8309	255	6	understanding	understanding	NOUN
ajote-8309	255	7	and	and	CCONJ
ajote-8309	255	8	representing	represent	VERB
ajote-8309	255	9	fractions	fraction	NOUN
ajote-8309	255	10	through	through	ADP
ajote-8309	255	11	different	different	ADJ
ajote-8309	255	12	diagrammatic	diagrammatic	ADJ
ajote-8309	255	13	formats	format	NOUN
ajote-8309	255	14	,	,	PUNCT
ajote-8309	255	15	martin	martin	PROPN
ajote-8309	255	16	proposed	propose	VERB
ajote-8309	255	17	an	an	DET
ajote-8309	255	18	additional	additional	ADJ
ajote-8309	255	19	activity	activity	NOUN
ajote-8309	255	20	(	(	PUNCT
ajote-8309	255	21	excerpt	excerpt	NOUN
ajote-8309	255	22	iii	iii	PROPN
ajote-8309	255	23	,	,	PUNCT
ajote-8309	255	24	line	line	NOUN
ajote-8309	255	25	10	10	NUM
ajote-8309	255	26	)	)	PUNCT
ajote-8309	255	27	.	.	PUNCT
ajote-8309	256	1	this	this	DET
ajote-8309	256	2	task	task	NOUN
ajote-8309	256	3	resembled	resemble	VERB
ajote-8309	256	4	the	the	DET
ajote-8309	256	5	intersecting	intersecting	ADJ
ajote-8309	256	6	-	-	PUNCT
ajote-8309	256	7	strip	strip	NOUN
ajote-8309	256	8	configuration	configuration	NOUN
ajote-8309	256	9	from	from	ADP
ajote-8309	256	10	diagram	diagram	NOUN
ajote-8309	256	11	3	3	NUM
ajote-8309	256	12	(	(	PUNCT
ajote-8309	256	13	figure	figure	NOUN
ajote-8309	256	14	3	3	NUM
ajote-8309	256	15	)	)	PUNCT
ajote-8309	256	16	but	but	CCONJ
ajote-8309	256	17	used	use	VERB
ajote-8309	256	18	a	a	DET
ajote-8309	256	19	reduced	reduced	ADJ
ajote-8309	256	20	number	number	NOUN
ajote-8309	256	21	of	of	ADP
ajote-8309	256	22	bars	bar	NOUN
ajote-8309	256	23	.	.	PUNCT
ajote-8309	257	1	according	accord	VERB
ajote-8309	257	2	to	to	ADP
ajote-8309	257	3	martin	martin	PROPN
ajote-8309	257	4	,	,	PUNCT
ajote-8309	257	5	this	this	DET
ajote-8309	257	6	simplified	simplify	VERB
ajote-8309	257	7	version	version	NOUN
ajote-8309	257	8	would	would	AUX
ajote-8309	257	9	help	help	VERB
ajote-8309	257	10	students	student	NOUN
ajote-8309	257	11	conceptualize	conceptualize	VERB
ajote-8309	257	12	the	the	DET
ajote-8309	257	13	strips	strip	NOUN
ajote-8309	257	14	as	as	ADP
ajote-8309	257	15	parts	part	NOUN
ajote-8309	257	16	of	of	ADP
ajote-8309	257	17	a	a	DET
ajote-8309	257	18	unified	unified	ADJ
ajote-8309	257	19	whole	whole	NOUN
ajote-8309	257	20	and	and	CCONJ
ajote-8309	257	21	reduce	reduce	VERB
ajote-8309	257	22	potential	potential	ADJ
ajote-8309	257	23	difficulties	difficulty	NOUN
ajote-8309	257	24	in	in	ADP
ajote-8309	257	25	solving	solve	VERB
ajote-8309	257	26	comparable	comparable	ADJ
ajote-8309	257	27	tasks	task	NOUN
ajote-8309	257	28	.	.	PUNCT
ajote-8309	258	1	“	"	PUNCT
ajote-8309	258	2	they	they	PRON
ajote-8309	258	3	[	[	X
ajote-8309	258	4	learners	learner	NOUN
ajote-8309	258	5	]	]	PUNCT
ajote-8309	258	6	also	also	ADV
ajote-8309	258	7	have	have	VERB
ajote-8309	258	8	to	to	PART
ajote-8309	258	9	know	know	VERB
ajote-8309	258	10	how	how	SCONJ
ajote-8309	258	11	to	to	PART
ajote-8309	258	12	apply	apply	VERB
ajote-8309	258	13	what	what	PRON
ajote-8309	258	14	they	they	PRON
ajote-8309	258	15	learn	learn	VERB
ajote-8309	258	16	in	in	ADP
ajote-8309	258	17	the	the	DET
ajote-8309	258	18	classroom	classroom	NOUN
ajote-8309	258	19	to	to	ADP
ajote-8309	258	20	other	other	ADJ
ajote-8309	258	21	diverse	diverse	ADJ
ajote-8309	258	22	situations	situation	NOUN
ajote-8309	258	23	,	,	PUNCT
ajote-8309	258	24	not	not	PART
ajote-8309	258	25	just	just	ADV
ajote-8309	258	26	familiar	familiar	ADJ
ajote-8309	258	27	ones	one	NOUN
ajote-8309	258	28	,	,	PUNCT
ajote-8309	258	29	”	"	PUNCT
ajote-8309	258	30	he	he	PRON
ajote-8309	258	31	remarked	remark	VERB
ajote-8309	258	32	.	.	PUNCT
ajote-8309	259	1	although	although	SCONJ
ajote-8309	259	2	the	the	DET
ajote-8309	259	3	intermediate	intermediate	ADJ
ajote-8309	259	4	task	task	NOUN
ajote-8309	259	5	proposed	propose	VERB
ajote-8309	259	6	by	by	ADP
ajote-8309	259	7	martin	martin	PROPN
ajote-8309	259	8	may	may	AUX
ajote-8309	259	9	not	not	PART
ajote-8309	259	10	fully	fully	ADV
ajote-8309	259	11	prevent	prevent	VERB
ajote-8309	259	12	confusion	confusion	NOUN
ajote-8309	259	13	—	—	PUNCT
ajote-8309	259	14	since	since	ADV
ajote-8309	259	15	,	,	PUNCT
ajote-8309	259	16	as	as	SCONJ
ajote-8309	259	17	seen	see	VERB
ajote-8309	259	18	in	in	ADP
ajote-8309	259	19	the	the	DET
ajote-8309	259	20	figure	figure	NOUN
ajote-8309	259	21	representing	represent	VERB
ajote-8309	259	22	the	the	DET
ajote-8309	259	23	fraction	fraction	NOUN
ajote-8309	259	24	4/5	4/5	NOUN
ajote-8309	259	25	(	(	PUNCT
ajote-8309	259	26	excerpt	excerpt	PROPN
ajote-8309	259	27	iii	iii	PROPN
ajote-8309	259	28	,	,	PUNCT
ajote-8309	259	29	line	line	NOUN
ajote-8309	259	30	10	10	NUM
ajote-8309	259	31	)	)	PUNCT
ajote-8309	259	32	,	,	PUNCT
ajote-8309	259	33	students	student	NOUN
ajote-8309	259	34	could	could	AUX
ajote-8309	259	35	still	still	ADV
ajote-8309	259	36	leave	leave	VERB
ajote-8309	259	37	gaps	gap	NOUN
ajote-8309	259	38	between	between	ADP
ajote-8309	259	39	shaded	shade	VERB
ajote-8309	259	40	segments	segment	NOUN
ajote-8309	259	41	—	—	PUNCT
ajote-8309	259	42	it	it	PRON
ajote-8309	259	43	nevertheless	nevertheless	ADV
ajote-8309	259	44	highlights	highlight	VERB
ajote-8309	259	45	key	key	ADJ
ajote-8309	259	46	considerations	consideration	NOUN
ajote-8309	259	47	for	for	ADP
ajote-8309	259	48	sequencing	sequence	VERB
ajote-8309	259	49	and	and	CCONJ
ajote-8309	259	50	structuring	structure	VERB
ajote-8309	259	51	tasks	task	NOUN
ajote-8309	259	52	to	to	PART
ajote-8309	259	53	support	support	VERB
ajote-8309	259	54	effective	effective	ADJ
ajote-8309	259	55	mathematics	mathematic	NOUN
ajote-8309	259	56	learning	learning	NOUN
ajote-8309	259	57	.	.	PUNCT
ajote-8309	260	1	martin	martin	PROPN
ajote-8309	260	2	’s	’s	PART
ajote-8309	260	3	reflections	reflection	NOUN
ajote-8309	260	4	align	align	VERB
ajote-8309	260	5	with	with	ADP
ajote-8309	260	6	the	the	DET
ajote-8309	260	7	notion	notion	NOUN
ajote-8309	260	8	of	of	ADP
ajote-8309	260	9	selecting	select	VERB
ajote-8309	260	10	and	and	CCONJ
ajote-8309	260	11	adapting	adapt	VERB
ajote-8309	260	12	classroom	classroom	NOUN
ajote-8309	260	13	tasks	task	NOUN
ajote-8309	260	14	(	(	PUNCT
ajote-8309	260	15	rivas	rivas	PROPN
ajote-8309	260	16	et	et	PROPN
ajote-8309	260	17	al	al	PROPN
ajote-8309	260	18	.	.	PROPN
ajote-8309	260	19	,	,	PUNCT
ajote-8309	260	20	2012	2012	NUM
ajote-8309	260	21	)	)	PUNCT
ajote-8309	260	22	to	to	PART
ajote-8309	260	23	vary	vary	VERB
ajote-8309	260	24	in	in	ADP
ajote-8309	260	25	complexity	complexity	NOUN
ajote-8309	260	26	—	—	PUNCT
ajote-8309	260	27	both	both	DET
ajote-8309	260	28	simplifying	simplify	VERB
ajote-8309	260	29	and	and	CCONJ
ajote-8309	260	30	extending	extend	VERB
ajote-8309	260	31	them	they	PRON
ajote-8309	260	32	—	—	PUNCT
ajote-8309	260	33	which	which	PRON
ajote-8309	260	34	are	be	AUX
ajote-8309	260	35	essential	essential	ADJ
ajote-8309	260	36	features	feature	NOUN
ajote-8309	260	37	of	of	ADP
ajote-8309	260	38	mathematics	mathematic	NOUN
ajote-8309	260	39	teaching	teaching	NOUN
ajote-8309	260	40	that	that	PRON
ajote-8309	260	41	rely	rely	VERB
ajote-8309	260	42	on	on	ADP
ajote-8309	260	43	sck	sck	PROPN
ajote-8309	260	44	(	(	PUNCT
ajote-8309	260	45	ball	ball	NOUN
ajote-8309	260	46	et	et	NOUN
ajote-8309	260	47	al	al	PROPN
ajote-8309	260	48	.	.	PROPN
ajote-8309	260	49	,	,	PUNCT
ajote-8309	260	50	2008	2008	NUM
ajote-8309	260	51	)	)	PUNCT
ajote-8309	260	52	.	.	PUNCT
ajote-8309	261	1	martin	martin	PROPN
ajote-8309	261	2	’s	’s	PART
ajote-8309	261	3	approach	approach	NOUN
ajote-8309	261	4	to	to	PART
ajote-8309	261	5	lesson	lesson	VERB
ajote-8309	261	6	design	design	NOUN
ajote-8309	261	7	thus	thus	ADV
ajote-8309	261	8	reflects	reflect	VERB
ajote-8309	261	9	a	a	DET
ajote-8309	261	10	developing	develop	VERB
ajote-8309	261	11	understanding	understanding	NOUN
ajote-8309	261	12	of	of	ADP
ajote-8309	261	13	how	how	SCONJ
ajote-8309	261	14	visual	visual	ADJ
ajote-8309	261	15	representations	representation	NOUN
ajote-8309	261	16	can	can	AUX
ajote-8309	261	17	scaffold	scaffold	NOUN
ajote-8309	261	18	mathematical	mathematical	ADJ
ajote-8309	261	19	learning	learning	NOUN
ajote-8309	261	20	.	.	PUNCT
ajote-8309	262	1	he	he	PRON
ajote-8309	262	2	believed	believe	VERB
ajote-8309	262	3	that	that	SCONJ
ajote-8309	262	4	once	once	SCONJ
ajote-8309	262	5	students	student	NOUN
ajote-8309	262	6	mastered	master	VERB
ajote-8309	262	7	tasks	task	NOUN
ajote-8309	262	8	involving	involve	VERB
ajote-8309	262	9	horizontal	horizontal	ADJ
ajote-8309	262	10	bar	bar	NOUN
ajote-8309	262	11	models	model	NOUN
ajote-8309	262	12	,	,	PUNCT
ajote-8309	262	13	they	they	PRON
ajote-8309	262	14	would	would	AUX
ajote-8309	262	15	be	be	AUX
ajote-8309	262	16	better	well	ADV
ajote-8309	262	17	prepared	prepared	ADJ
ajote-8309	262	18	to	to	PART
ajote-8309	262	19	tackle	tackle	VERB
ajote-8309	262	20	more	more	ADV
ajote-8309	262	21	complex	complex	ADJ
ajote-8309	262	22	problems	problem	NOUN
ajote-8309	262	23	,	,	PUNCT
ajote-8309	262	24	potentially	potentially	ADV
ajote-8309	262	25	extending	extend	VERB
ajote-8309	262	26	beyond	beyond	ADP
ajote-8309	262	27	the	the	DET
ajote-8309	262	28	textbook	textbook	NOUN
ajote-8309	262	29	content	content	NOUN
ajote-8309	262	30	(	(	PUNCT
ajote-8309	262	31	excerpt	excerpt	PROPN
ajote-8309	262	32	iii	iii	PROPN
ajote-8309	262	33	,	,	PUNCT
ajote-8309	262	34	line	line	NOUN
ajote-8309	262	35	11	11	NUM
ajote-8309	262	36	)	)	PUNCT
ajote-8309	262	37	.	.	PUNCT
ajote-8309	263	1	as	as	SCONJ
ajote-8309	263	2	he	he	PRON
ajote-8309	263	3	explained	explain	VERB
ajote-8309	263	4	,	,	PUNCT
ajote-8309	263	5	knowledge	knowledge	NOUN
ajote-8309	263	6	of	of	ADP
ajote-8309	263	7	the	the	DET
ajote-8309	263	8	tasks	task	NOUN
ajote-8309	263	9	that	that	PRON
ajote-8309	263	10	support	support	VERB
ajote-8309	263	11	this	this	DET
ajote-8309	263	12	kind	kind	NOUN
ajote-8309	263	13	of	of	ADP
ajote-8309	263	14	progression	progression	NOUN
ajote-8309	263	15	is	be	AUX
ajote-8309	263	16	fundamental	fundamental	ADJ
ajote-8309	263	17	for	for	ADP
ajote-8309	263	18	helping	help	VERB
ajote-8309	263	19	students	student	NOUN
ajote-8309	263	20	build	build	VERB
ajote-8309	263	21	upon	upon	SCONJ
ajote-8309	263	22	what	what	PRON
ajote-8309	263	23	they	they	PRON
ajote-8309	263	24	already	already	ADV
ajote-8309	263	25	know	know	VERB
ajote-8309	263	26	(	(	PUNCT
ajote-8309	263	27	excerpt	excerpt	PROPN
ajote-8309	263	28	iii	iii	PROPN
ajote-8309	263	29	,	,	PUNCT
ajote-8309	263	30	line	line	NOUN
ajote-8309	263	31	15	15	NUM
ajote-8309	263	32	)	)	PUNCT
ajote-8309	263	33	.	.	PUNCT
ajote-8309	264	1	moreover	moreover	ADV
ajote-8309	264	2	,	,	PUNCT
ajote-8309	264	3	martin	martin	PROPN
ajote-8309	264	4	’s	’s	PART
ajote-8309	264	5	tendency	tendency	NOUN
ajote-8309	264	6	to	to	PART
ajote-8309	264	7	expand	expand	VERB
ajote-8309	264	8	,	,	PUNCT
ajote-8309	264	9	reduce	reduce	VERB
ajote-8309	264	10	,	,	PUNCT
ajote-8309	264	11	or	or	CCONJ
ajote-8309	264	12	adapt	adapt	VERB
ajote-8309	264	13	lessons	lesson	NOUN
ajote-8309	264	14	in	in	ADP
ajote-8309	264	15	response	response	NOUN
ajote-8309	264	16	to	to	ADP
ajote-8309	264	17	students	student	NOUN
ajote-8309	264	18	’	'	PUNCT
ajote-8309	264	19	abilities	ability	NOUN
ajote-8309	264	20	illustrates	illustrate	VERB
ajote-8309	264	21	his	his	PRON
ajote-8309	264	22	emerging	emerge	VERB
ajote-8309	264	23	grasp	grasp	NOUN
ajote-8309	264	24	of	of	ADP
ajote-8309	264	25	how	how	SCONJ
ajote-8309	264	26	sck	sck	PROPN
ajote-8309	264	27	is	be	AUX
ajote-8309	264	28	applied	apply	VERB
ajote-8309	264	29	in	in	ADP
ajote-8309	264	30	practice	practice	NOUN
ajote-8309	264	31	.	.	PUNCT
ajote-8309	265	1	his	his	PRON
ajote-8309	265	2	instructional	instructional	ADJ
ajote-8309	265	3	decisions	decision	NOUN
ajote-8309	265	4	were	be	AUX
ajote-8309	265	5	guided	guide	VERB
ajote-8309	265	6	not	not	PART
ajote-8309	265	7	only	only	ADV
ajote-8309	265	8	by	by	ADP
ajote-8309	265	9	a	a	DET
ajote-8309	265	10	desire	desire	NOUN
ajote-8309	265	11	to	to	PART
ajote-8309	265	12	help	help	VERB
ajote-8309	265	13	students	student	NOUN
ajote-8309	265	14	make	make	VERB
ajote-8309	265	15	sense	sense	NOUN
ajote-8309	265	16	of	of	ADP
ajote-8309	265	17	mathematical	mathematical	ADJ
ajote-8309	265	18	concepts	concept	NOUN
ajote-8309	265	19	but	but	CCONJ
ajote-8309	265	20	everton	everton	PROPN
ajote-8309	265	21	jacinto	jacinto	PROPN
ajote-8309	265	22	,	,	PUNCT
ajote-8309	265	23	arne	arne	ADJ
ajote-8309	265	24	jakobsen	jakobsen	NOUN
ajote-8309	265	25	,	,	PUNCT
ajote-8309	265	26	raymond	raymond	PROPN
ajote-8309	265	27	bjuland	bjuland	PROPN
ajote-8309	265	28	ajote	ajote	PROPN
ajote-8309	265	29	vol.14	vol.14	NOUN
ajote-8309	265	30	no.2	no.2	PROPN
ajote-8309	265	31	(	(	PUNCT
ajote-8309	265	32	2025	2025	NUM
ajote-8309	265	33	)	)	PUNCT
ajote-8309	265	34	,	,	PUNCT
ajote-8309	265	35	92	92	NUM
ajote-8309	265	36	-	-	SYM
ajote-8309	265	37	116	116	NUM
ajote-8309	265	38	110	110	NUM
ajote-8309	265	39	also	also	ADV
ajote-8309	265	40	by	by	ADP
ajote-8309	265	41	an	an	DET
ajote-8309	265	42	ongoing	ongoing	ADJ
ajote-8309	265	43	effort	effort	NOUN
ajote-8309	265	44	to	to	PART
ajote-8309	265	45	assess	assess	VERB
ajote-8309	265	46	and	and	CCONJ
ajote-8309	265	47	leverage	leverage	VERB
ajote-8309	265	48	their	their	PRON
ajote-8309	265	49	understanding	understanding	NOUN
ajote-8309	265	50	in	in	ADP
ajote-8309	265	51	designing	design	VERB
ajote-8309	265	52	meaningful	meaningful	ADJ
ajote-8309	265	53	learning	learning	NOUN
ajote-8309	265	54	experiences	experience	NOUN
ajote-8309	265	55	.	.	PUNCT
ajote-8309	266	1	final	final	ADJ
ajote-8309	266	2	considerations	consideration	NOUN
ajote-8309	266	3	the	the	DET
ajote-8309	266	4	present	present	ADJ
ajote-8309	266	5	work	work	NOUN
ajote-8309	266	6	provides	provide	VERB
ajote-8309	266	7	insights	insight	NOUN
ajote-8309	266	8	into	into	ADP
ajote-8309	266	9	pre	pre	ADJ
ajote-8309	266	10	-	-	ADJ
ajote-8309	266	11	service	service	ADJ
ajote-8309	266	12	teachers	teacher	NOUN
ajote-8309	266	13	’	’	PART
ajote-8309	266	14	understanding	understanding	NOUN
ajote-8309	266	15	of	of	ADP
ajote-8309	266	16	a	a	DET
ajote-8309	266	17	specific	specific	ADJ
ajote-8309	266	18	aspect	aspect	NOUN
ajote-8309	266	19	of	of	ADP
ajote-8309	266	20	the	the	DET
ajote-8309	266	21	sck	sck	PROPN
ajote-8309	266	22	domain	domain	NOUN
ajote-8309	266	23	—	—	PUNCT
ajote-8309	266	24	specifically	specifically	ADV
ajote-8309	266	25	,	,	PUNCT
ajote-8309	266	26	the	the	DET
ajote-8309	266	27	knowledge	knowledge	NOUN
ajote-8309	266	28	needed	need	VERB
ajote-8309	266	29	to	to	ADP
ajote-8309	266	30	sequence	sequence	NOUN
ajote-8309	266	31	and	and	CCONJ
ajote-8309	266	32	structure	structure	NOUN
ajote-8309	266	33	students	student	NOUN
ajote-8309	266	34	’	'	PUNCT
ajote-8309	266	35	learning	learning	NOUN
ajote-8309	266	36	of	of	ADP
ajote-8309	266	37	mathematics	mathematic	NOUN
ajote-8309	266	38	.	.	PUNCT
ajote-8309	267	1	our	our	PRON
ajote-8309	267	2	findings	finding	NOUN
ajote-8309	267	3	illustrate	illustrate	VERB
ajote-8309	267	4	how	how	SCONJ
ajote-8309	267	5	this	this	DET
ajote-8309	267	6	understanding	understanding	NOUN
ajote-8309	267	7	is	be	AUX
ajote-8309	267	8	shaped	shape	VERB
ajote-8309	267	9	through	through	ADP
ajote-8309	267	10	the	the	DET
ajote-8309	267	11	demands	demand	NOUN
ajote-8309	267	12	and	and	CCONJ
ajote-8309	267	13	realities	reality	NOUN
ajote-8309	267	14	of	of	ADP
ajote-8309	267	15	teaching	teach	VERB
ajote-8309	267	16	practice	practice	NOUN
ajote-8309	267	17	.	.	PUNCT
ajote-8309	268	1	for	for	ADP
ajote-8309	268	2	novice	novice	NOUN
ajote-8309	268	3	pre	pre	ADJ
ajote-8309	268	4	-	-	ADJ
ajote-8309	268	5	service	service	ADJ
ajote-8309	268	6	teachers	teacher	NOUN
ajote-8309	268	7	,	,	PUNCT
ajote-8309	268	8	engaging	engage	VERB
ajote-8309	268	9	with	with	ADP
ajote-8309	268	10	this	this	DET
ajote-8309	268	11	domain	domain	NOUN
ajote-8309	268	12	is	be	AUX
ajote-8309	268	13	particularly	particularly	ADV
ajote-8309	268	14	valuable	valuable	ADJ
ajote-8309	268	15	,	,	PUNCT
ajote-8309	268	16	as	as	SCONJ
ajote-8309	268	17	it	it	PRON
ajote-8309	268	18	highlights	highlight	VERB
ajote-8309	268	19	the	the	DET
ajote-8309	268	20	importance	importance	NOUN
ajote-8309	268	21	of	of	ADP
ajote-8309	268	22	experimenting	experiment	VERB
ajote-8309	268	23	with	with	ADP
ajote-8309	268	24	diverse	diverse	ADJ
ajote-8309	268	25	instruments	instrument	NOUN
ajote-8309	268	26	strategies	strategy	NOUN
ajote-8309	268	27	that	that	PRON
ajote-8309	268	28	foster	foster	VERB
ajote-8309	268	29	meaningful	meaningful	ADJ
ajote-8309	268	30	mathematical	mathematical	ADJ
ajote-8309	268	31	learning	learning	NOUN
ajote-8309	268	32	.	.	PUNCT
ajote-8309	269	1	these	these	DET
ajote-8309	269	2	strategies	strategy	NOUN
ajote-8309	269	3	also	also	ADV
ajote-8309	269	4	contribute	contribute	VERB
ajote-8309	269	5	to	to	ADP
ajote-8309	269	6	building	build	VERB
ajote-8309	269	7	classroom	classroom	NOUN
ajote-8309	269	8	environments	environment	NOUN
ajote-8309	269	9	in	in	ADP
ajote-8309	269	10	which	which	PRON
ajote-8309	269	11	students	student	NOUN
ajote-8309	269	12	can	can	AUX
ajote-8309	269	13	make	make	VERB
ajote-8309	269	14	coherent	coherent	ADJ
ajote-8309	269	15	connections	connection	NOUN
ajote-8309	269	16	across	across	ADP
ajote-8309	269	17	concepts	concept	NOUN
ajote-8309	269	18	and	and	CCONJ
ajote-8309	269	19	progress	progress	VERB
ajote-8309	269	20	toward	toward	ADP
ajote-8309	269	21	clearly	clearly	ADV
ajote-8309	269	22	defined	define	VERB
ajote-8309	269	23	learning	learning	NOUN
ajote-8309	269	24	goals	goal	NOUN
ajote-8309	269	25	.	.	PUNCT
ajote-8309	270	1	although	although	SCONJ
ajote-8309	270	2	the	the	DET
ajote-8309	270	3	two	two	NUM
ajote-8309	270	4	cases	case	NOUN
ajote-8309	270	5	discussed	discuss	VERB
ajote-8309	270	6	are	be	AUX
ajote-8309	270	7	situated	situate	VERB
ajote-8309	270	8	in	in	ADP
ajote-8309	270	9	the	the	DET
ajote-8309	270	10	malawian	malawian	ADJ
ajote-8309	270	11	context	context	NOUN
ajote-8309	270	12	,	,	PUNCT
ajote-8309	270	13	their	their	PRON
ajote-8309	270	14	relevance	relevance	NOUN
ajote-8309	270	15	extends	extend	VERB
ajote-8309	270	16	to	to	ADP
ajote-8309	270	17	other	other	ADJ
ajote-8309	270	18	settings	setting	NOUN
ajote-8309	270	19	where	where	SCONJ
ajote-8309	270	20	teacher	teacher	NOUN
ajote-8309	270	21	education	education	NOUN
ajote-8309	270	22	remains	remain	VERB
ajote-8309	270	23	underdeveloped	underdeveloped	ADJ
ajote-8309	270	24	.	.	PUNCT
ajote-8309	271	1	these	these	DET
ajote-8309	271	2	cases	case	NOUN
ajote-8309	271	3	offer	offer	VERB
ajote-8309	271	4	valuable	valuable	ADJ
ajote-8309	271	5	insights	insight	NOUN
ajote-8309	271	6	,	,	PUNCT
ajote-8309	271	7	as	as	SCONJ
ajote-8309	271	8	our	our	PRON
ajote-8309	271	9	analysis	analysis	NOUN
ajote-8309	271	10	reveals	reveal	VERB
ajote-8309	271	11	that	that	SCONJ
ajote-8309	271	12	first	first	ADJ
ajote-8309	271	13	-	-	PUNCT
ajote-8309	271	14	year	year	NOUN
ajote-8309	271	15	malawian	malawian	ADJ
ajote-8309	271	16	pre	pre	ADJ
ajote-8309	271	17	-	-	ADJ
ajote-8309	271	18	service	service	ADJ
ajote-8309	271	19	teachers	teacher	NOUN
ajote-8309	271	20	struggled	struggle	VERB
ajote-8309	271	21	to	to	PART
ajote-8309	271	22	grasp	grasp	VERB
ajote-8309	271	23	the	the	DET
ajote-8309	271	24	pedagogical	pedagogical	ADJ
ajote-8309	271	25	knowledge	knowledge	NOUN
ajote-8309	271	26	necessary	necessary	ADJ
ajote-8309	271	27	to	to	PART
ajote-8309	271	28	organize	organize	VERB
ajote-8309	271	29	instruction	instruction	NOUN
ajote-8309	271	30	in	in	ADP
ajote-8309	271	31	alignment	alignment	NOUN
ajote-8309	271	32	with	with	ADP
ajote-8309	271	33	curriculum	curriculum	NOUN
ajote-8309	271	34	guidelines	guideline	NOUN
ajote-8309	271	35	and	and	CCONJ
ajote-8309	271	36	textbook	textbook	NOUN
ajote-8309	271	37	structures	structure	NOUN
ajote-8309	271	38	.	.	PUNCT
ajote-8309	272	1	however	however	ADV
ajote-8309	272	2	,	,	PUNCT
ajote-8309	272	3	as	as	SCONJ
ajote-8309	272	4	they	they	PRON
ajote-8309	272	5	progressed	progress	VERB
ajote-8309	272	6	in	in	ADP
ajote-8309	272	7	their	their	PRON
ajote-8309	272	8	training	training	NOUN
ajote-8309	272	9	and	and	CCONJ
ajote-8309	272	10	gained	gain	VERB
ajote-8309	272	11	classroom	classroom	NOUN
ajote-8309	272	12	experience	experience	NOUN
ajote-8309	272	13	,	,	PUNCT
ajote-8309	272	14	they	they	PRON
ajote-8309	272	15	developed	develop	VERB
ajote-8309	272	16	a	a	DET
ajote-8309	272	17	more	more	ADV
ajote-8309	272	18	refined	refined	ADJ
ajote-8309	272	19	understanding	understanding	NOUN
ajote-8309	272	20	of	of	ADP
ajote-8309	272	21	the	the	DET
ajote-8309	272	22	competencies	competency	NOUN
ajote-8309	272	23	required	require	VERB
ajote-8309	272	24	for	for	ADP
ajote-8309	272	25	effective	effective	ADJ
ajote-8309	272	26	teaching	teaching	NOUN
ajote-8309	272	27	in	in	ADP
ajote-8309	272	28	primary	primary	ADJ
ajote-8309	272	29	schools	school	NOUN
ajote-8309	272	30	.	.	PUNCT
ajote-8309	273	1	the	the	DET
ajote-8309	273	2	two	two	NUM
ajote-8309	273	3	pre	pre	ADJ
ajote-8309	273	4	-	-	ADJ
ajote-8309	273	5	service	service	ADJ
ajote-8309	273	6	teachers	teacher	NOUN
ajote-8309	273	7	in	in	ADP
ajote-8309	273	8	our	our	PRON
ajote-8309	273	9	study	study	NOUN
ajote-8309	273	10	not	not	PART
ajote-8309	273	11	only	only	ADV
ajote-8309	273	12	began	begin	VERB
ajote-8309	273	13	to	to	PART
ajote-8309	273	14	better	well	ADV
ajote-8309	273	15	comprehend	comprehend	VERB
ajote-8309	273	16	the	the	DET
ajote-8309	273	17	nature	nature	NOUN
ajote-8309	273	18	of	of	ADP
ajote-8309	273	19	sck	sck	PROPN
ajote-8309	273	20	,	,	PUNCT
ajote-8309	273	21	but	but	CCONJ
ajote-8309	273	22	also	also	ADV
ajote-8309	273	23	recognized	recognize	VERB
ajote-8309	273	24	how	how	SCONJ
ajote-8309	273	25	it	it	PRON
ajote-8309	273	26	could	could	AUX
ajote-8309	273	27	be	be	AUX
ajote-8309	273	28	applied	apply	VERB
ajote-8309	273	29	more	more	ADV
ajote-8309	273	30	flexibly	flexibly	ADV
ajote-8309	273	31	to	to	PART
ajote-8309	273	32	support	support	VERB
ajote-8309	273	33	students	student	NOUN
ajote-8309	273	34	’	'	PUNCT
ajote-8309	273	35	learning	learn	VERB
ajote-8309	273	36	in	in	ADP
ajote-8309	273	37	mathematics	mathematic	NOUN
ajote-8309	273	38	.	.	PUNCT
ajote-8309	274	1	throughout	throughout	ADP
ajote-8309	274	2	the	the	DET
ajote-8309	274	3	study	study	NOUN
ajote-8309	274	4	,	,	PUNCT
ajote-8309	274	5	both	both	DET
ajote-8309	274	6	participants	participant	NOUN
ajote-8309	274	7	often	often	ADV
ajote-8309	274	8	relied	rely	VERB
ajote-8309	274	9	on	on	ADP
ajote-8309	274	10	their	their	PRON
ajote-8309	274	11	personal	personal	ADJ
ajote-8309	274	12	educational	educational	ADJ
ajote-8309	274	13	experiences	experience	NOUN
ajote-8309	274	14	when	when	SCONJ
ajote-8309	274	15	planning	planning	NOUN
ajote-8309	274	16	instruction	instruction	NOUN
ajote-8309	274	17	.	.	PUNCT
ajote-8309	275	1	while	while	SCONJ
ajote-8309	275	2	they	they	PRON
ajote-8309	275	3	showed	show	VERB
ajote-8309	275	4	genuine	genuine	ADJ
ajote-8309	275	5	interest	interest	NOUN
ajote-8309	275	6	in	in	ADP
ajote-8309	275	7	student	student	NOUN
ajote-8309	275	8	learning	learning	NOUN
ajote-8309	275	9	,	,	PUNCT
ajote-8309	275	10	they	they	PRON
ajote-8309	275	11	found	find	VERB
ajote-8309	275	12	it	it	PRON
ajote-8309	275	13	challenging	challenge	VERB
ajote-8309	275	14	to	to	PART
ajote-8309	275	15	respond	respond	VERB
ajote-8309	275	16	to	to	ADP
ajote-8309	275	17	situations	situation	NOUN
ajote-8309	275	18	not	not	PART
ajote-8309	275	19	directly	directly	ADV
ajote-8309	275	20	addressed	address	VERB
ajote-8309	275	21	in	in	ADP
ajote-8309	275	22	textbooks	textbook	NOUN
ajote-8309	275	23	or	or	CCONJ
ajote-8309	275	24	teacher	teacher	NOUN
ajote-8309	275	25	guides	guide	NOUN
ajote-8309	275	26	.	.	PUNCT
ajote-8309	276	1	this	this	DET
ajote-8309	276	2	gap	gap	NOUN
ajote-8309	276	3	limited	limit	VERB
ajote-8309	276	4	their	their	PRON
ajote-8309	276	5	ability	ability	NOUN
ajote-8309	276	6	to	to	PART
ajote-8309	276	7	create	create	VERB
ajote-8309	276	8	learning	learn	VERB
ajote-8309	276	9	opportunities	opportunity	NOUN
ajote-8309	276	10	that	that	PRON
ajote-8309	276	11	emphasized	emphasize	VERB
ajote-8309	276	12	connections	connection	NOUN
ajote-8309	276	13	between	between	ADP
ajote-8309	276	14	topics	topic	NOUN
ajote-8309	276	15	and	and	CCONJ
ajote-8309	276	16	representations	representation	NOUN
ajote-8309	276	17	in	in	ADP
ajote-8309	276	18	mathematics	mathematic	NOUN
ajote-8309	276	19	.	.	PUNCT
ajote-8309	277	1	yet	yet	ADV
ajote-8309	277	2	,	,	PUNCT
ajote-8309	277	3	we	we	PRON
ajote-8309	277	4	interpreted	interpret	VERB
ajote-8309	277	5	it	it	PRON
ajote-8309	277	6	as	as	ADP
ajote-8309	277	7	a	a	DET
ajote-8309	277	8	necessary	necessary	ADJ
ajote-8309	277	9	part	part	NOUN
ajote-8309	277	10	of	of	ADP
ajote-8309	277	11	their	their	PRON
ajote-8309	277	12	learning	learning	NOUN
ajote-8309	277	13	process	process	NOUN
ajote-8309	277	14	.	.	PUNCT
ajote-8309	278	1	comparing	compare	VERB
ajote-8309	278	2	their	their	PRON
ajote-8309	278	3	early	early	ADJ
ajote-8309	278	4	reflections	reflection	NOUN
ajote-8309	278	5	with	with	ADP
ajote-8309	278	6	those	those	PRON
ajote-8309	278	7	after	after	SCONJ
ajote-8309	278	8	their	their	PRON
ajote-8309	278	9	teaching	teaching	NOUN
ajote-8309	278	10	practice	practice	NOUN
ajote-8309	278	11	reveals	reveal	VERB
ajote-8309	278	12	a	a	DET
ajote-8309	278	13	more	more	ADV
ajote-8309	278	14	comprehensive	comprehensive	ADJ
ajote-8309	278	15	understanding	understanding	NOUN
ajote-8309	278	16	of	of	ADP
ajote-8309	278	17	sck	sck	PROPN
ajote-8309	278	18	.	.	PUNCT
ajote-8309	279	1	although	although	SCONJ
ajote-8309	279	2	they	they	PRON
ajote-8309	279	3	shared	share	VERB
ajote-8309	279	4	similar	similar	ADJ
ajote-8309	279	5	forms	form	NOUN
ajote-8309	279	6	of	of	ADP
ajote-8309	279	7	understanding	understanding	NOUN
ajote-8309	279	8	,	,	PUNCT
ajote-8309	279	9	they	they	PRON
ajote-8309	279	10	applied	apply	VERB
ajote-8309	279	11	them	they	PRON
ajote-8309	279	12	in	in	ADP
ajote-8309	279	13	different	different	ADJ
ajote-8309	279	14	ways	way	NOUN
ajote-8309	279	15	—	—	PUNCT
ajote-8309	279	16	each	each	PRON
ajote-8309	279	17	aiming	aim	VERB
ajote-8309	279	18	to	to	PART
ajote-8309	279	19	align	align	VERB
ajote-8309	279	20	lesson	lesson	NOUN
ajote-8309	279	21	content	content	NOUN
ajote-8309	279	22	with	with	ADP
ajote-8309	279	23	strategies	strategy	NOUN
ajote-8309	279	24	that	that	PRON
ajote-8309	279	25	support	support	VERB
ajote-8309	279	26	students	student	NOUN
ajote-8309	279	27	´	´	NOUN
ajote-8309	279	28	learning	learning	NOUN
ajote-8309	279	29	of	of	ADP
ajote-8309	279	30	mathematics	mathematic	NOUN
ajote-8309	279	31	.	.	PUNCT
ajote-8309	280	1	the	the	DET
ajote-8309	280	2	insights	insight	NOUN
ajote-8309	280	3	gained	gain	VERB
ajote-8309	280	4	from	from	ADP
ajote-8309	280	5	this	this	DET
ajote-8309	280	6	research	research	NOUN
ajote-8309	280	7	can	can	AUX
ajote-8309	280	8	inform	inform	VERB
ajote-8309	280	9	the	the	DET
ajote-8309	280	10	design	design	NOUN
ajote-8309	280	11	of	of	ADP
ajote-8309	280	12	teacher	teacher	NOUN
ajote-8309	280	13	education	education	NOUN
ajote-8309	280	14	activities	activity	NOUN
ajote-8309	280	15	that	that	PRON
ajote-8309	280	16	help	help	VERB
ajote-8309	280	17	pre	pre	ADJ
ajote-8309	280	18	-	-	ADJ
ajote-8309	280	19	service	service	ADJ
ajote-8309	280	20	teachers	teacher	NOUN
ajote-8309	280	21	connect	connect	VERB
ajote-8309	280	22	practical	practical	ADJ
ajote-8309	280	23	teaching	teaching	NOUN
ajote-8309	280	24	tasks	task	NOUN
ajote-8309	280	25	with	with	ADP
ajote-8309	280	26	the	the	DET
ajote-8309	280	27	theoretical	theoretical	ADJ
ajote-8309	280	28	knowledge	knowledge	NOUN
ajote-8309	280	29	needed	need	VERB
ajote-8309	280	30	for	for	ADP
ajote-8309	280	31	effective	effective	ADJ
ajote-8309	280	32	teaching	teaching	NOUN
ajote-8309	280	33	.	.	PUNCT
ajote-8309	281	1	understanding	understand	VERB
ajote-8309	281	2	the	the	DET
ajote-8309	281	3	diverse	diverse	ADJ
ajote-8309	281	4	ways	way	NOUN
ajote-8309	281	5	in	in	ADP
ajote-8309	281	6	which	which	PRON
ajote-8309	281	7	pre	pre	ADJ
ajote-8309	281	8	-	-	ADJ
ajote-8309	281	9	service	service	ADJ
ajote-8309	281	10	teachers	teacher	NOUN
ajote-8309	281	11	develop	develop	VERB
ajote-8309	281	12	their	their	PRON
ajote-8309	281	13	understanding	understanding	NOUN
ajote-8309	281	14	and	and	CCONJ
ajote-8309	281	15	apply	apply	VERB
ajote-8309	281	16	this	this	DET
ajote-8309	281	17	knowledge	knowledge	NOUN
ajote-8309	281	18	in	in	ADP
ajote-8309	281	19	practice	practice	NOUN
ajote-8309	281	20	can	can	AUX
ajote-8309	281	21	help	help	VERB
ajote-8309	281	22	educators	educator	NOUN
ajote-8309	281	23	tracing	trace	VERB
ajote-8309	281	24	pre	pre	ADJ
ajote-8309	281	25	-	-	ADJ
ajote-8309	281	26	service	service	ADJ
ajote-8309	281	27	teachers	teacher	NOUN
ajote-8309	281	28	’	’	PART
ajote-8309	281	29	understanding	understanding	NOUN
ajote-8309	281	30	of	of	ADP
ajote-8309	281	31	specialized	specialized	ADJ
ajote-8309	281	32	content	content	NOUN
ajote-8309	281	33	knowledge	knowledge	NOUN
ajote-8309	281	34	for	for	ADP
ajote-8309	281	35	sequencing	sequence	VERB
ajote-8309	281	36	and	and	CCONJ
ajote-8309	281	37	structuring	structure	VERB
ajote-8309	281	38	mathematics	mathematic	NOUN
ajote-8309	281	39	learning	learn	VERB
ajote-8309	281	40	in	in	ADP
ajote-8309	281	41	low	low	ADJ
ajote-8309	281	42	-	-	PUNCT
ajote-8309	281	43	resource	resource	NOUN
ajote-8309	281	44	malawi	malawi	PROPN
ajote-8309	281	45	classrooms	classroom	NOUN
ajote-8309	281	46	ajote	ajote	VERB
ajote-8309	281	47	vol.14	vol.14	NOUN
ajote-8309	281	48	no.2	no.2	PROPN
ajote-8309	281	49	(	(	PUNCT
ajote-8309	281	50	2025	2025	NUM
ajote-8309	281	51	)	)	PUNCT
ajote-8309	281	52	,	,	PUNCT
ajote-8309	281	53	92	92	NUM
ajote-8309	281	54	-	-	SYM
ajote-8309	281	55	116	116	NUM
ajote-8309	281	56	111	111	NUM
ajote-8309	281	57	and	and	CCONJ
ajote-8309	281	58	researchers	researcher	NOUN
ajote-8309	281	59	identify	identify	VERB
ajote-8309	281	60	more	more	ADV
ajote-8309	281	61	effective	effective	ADJ
ajote-8309	281	62	approaches	approach	NOUN
ajote-8309	281	63	to	to	PART
ajote-8309	281	64	support	support	VERB
ajote-8309	281	65	their	their	PRON
ajote-8309	281	66	professional	professional	ADJ
ajote-8309	281	67	growth	growth	NOUN
ajote-8309	281	68	as	as	ADP
ajote-8309	281	69	teachers	teacher	NOUN
ajote-8309	281	70	.	.	PUNCT
ajote-8309	282	1	it	it	PRON
ajote-8309	282	2	is	be	AUX
ajote-8309	282	3	important	important	ADJ
ajote-8309	282	4	to	to	PART
ajote-8309	282	5	acknowledge	acknowledge	VERB
ajote-8309	282	6	that	that	SCONJ
ajote-8309	282	7	this	this	DET
ajote-8309	282	8	study	study	NOUN
ajote-8309	282	9	is	be	AUX
ajote-8309	282	10	not	not	PART
ajote-8309	282	11	exhaustive	exhaustive	ADJ
ajote-8309	282	12	,	,	PUNCT
ajote-8309	282	13	and	and	CCONJ
ajote-8309	282	14	its	its	PRON
ajote-8309	282	15	findings	finding	NOUN
ajote-8309	282	16	should	should	AUX
ajote-8309	282	17	not	not	PART
ajote-8309	282	18	be	be	AUX
ajote-8309	282	19	generalised	generalise	VERB
ajote-8309	282	20	beyond	beyond	ADP
ajote-8309	282	21	the	the	DET
ajote-8309	282	22	specific	specific	ADJ
ajote-8309	282	23	context	context	NOUN
ajote-8309	282	24	under	under	ADP
ajote-8309	282	25	investigation	investigation	NOUN
ajote-8309	282	26	.	.	PUNCT
ajote-8309	283	1	further	further	ADJ
ajote-8309	283	2	empirical	empirical	ADJ
ajote-8309	283	3	inquiry	inquiry	NOUN
ajote-8309	283	4	is	be	AUX
ajote-8309	283	5	required	require	VERB
ajote-8309	283	6	to	to	PART
ajote-8309	283	7	examine	examine	VERB
ajote-8309	283	8	additional	additional	ADJ
ajote-8309	283	9	dimensions	dimension	NOUN
ajote-8309	283	10	of	of	ADP
ajote-8309	283	11	teaching	teach	VERB
ajote-8309	283	12	knowledge	knowledge	NOUN
ajote-8309	283	13	and	and	CCONJ
ajote-8309	283	14	the	the	DET
ajote-8309	283	15	instructional	instructional	ADJ
ajote-8309	283	16	tasks	task	NOUN
ajote-8309	283	17	embedded	embed	VERB
ajote-8309	283	18	in	in	ADP
ajote-8309	283	19	the	the	DET
ajote-8309	283	20	work	work	NOUN
ajote-8309	283	21	of	of	ADP
ajote-8309	283	22	teaching	teaching	NOUN
ajote-8309	283	23	,	,	PUNCT
ajote-8309	283	24	particularly	particularly	ADV
ajote-8309	283	25	within	within	ADP
ajote-8309	283	26	diverse	diverse	ADJ
ajote-8309	283	27	educational	educational	ADJ
ajote-8309	283	28	settings	setting	NOUN
ajote-8309	283	29	.	.	PUNCT
ajote-8309	284	1	in	in	ADP
ajote-8309	284	2	the	the	DET
ajote-8309	284	3	absence	absence	NOUN
ajote-8309	284	4	of	of	ADP
ajote-8309	284	5	such	such	ADJ
ajote-8309	284	6	research	research	NOUN
ajote-8309	284	7	,	,	PUNCT
ajote-8309	284	8	it	it	PRON
ajote-8309	284	9	remains	remain	VERB
ajote-8309	284	10	uncertain	uncertain	ADJ
ajote-8309	284	11	whether	whether	SCONJ
ajote-8309	284	12	existing	exist	VERB
ajote-8309	284	13	teacher	teacher	NOUN
ajote-8309	284	14	education	education	NOUN
ajote-8309	284	15	programs	program	NOUN
ajote-8309	284	16	adequately	adequately	ADV
ajote-8309	284	17	equip	equip	VERB
ajote-8309	284	18	pre	pre	ADJ
ajote-8309	284	19	-	-	ADJ
ajote-8309	284	20	service	service	ADJ
ajote-8309	284	21	teachers	teacher	NOUN
ajote-8309	284	22	to	to	PART
ajote-8309	284	23	meet	meet	VERB
ajote-8309	284	24	the	the	DET
ajote-8309	284	25	complex	complex	ADJ
ajote-8309	284	26	and	and	CCONJ
ajote-8309	284	27	multifaceted	multifaceted	ADJ
ajote-8309	284	28	demands	demand	NOUN
ajote-8309	284	29	of	of	ADP
ajote-8309	284	30	mathematics	mathematic	NOUN
ajote-8309	284	31	instruction	instruction	NOUN
ajote-8309	284	32	.	.	PUNCT
ajote-8309	285	1	ongoing	ongoing	ADJ
ajote-8309	285	2	investigation	investigation	NOUN
ajote-8309	285	3	is	be	AUX
ajote-8309	285	4	therefore	therefore	ADV
ajote-8309	285	5	essential	essential	ADJ
ajote-8309	285	6	to	to	PART
ajote-8309	285	7	advance	advance	VERB
ajote-8309	285	8	a	a	DET
ajote-8309	285	9	comprehensive	comprehensive	ADJ
ajote-8309	285	10	understanding	understanding	NOUN
ajote-8309	285	11	of	of	ADP
ajote-8309	285	12	effective	effective	ADJ
ajote-8309	285	13	mathematics	mathematic	NOUN
ajote-8309	285	14	teaching	teaching	NOUN
ajote-8309	285	15	and	and	CCONJ
ajote-8309	285	16	to	to	PART
ajote-8309	285	17	assess	assess	VERB
ajote-8309	285	18	its	its	PRON
ajote-8309	285	19	feasibility	feasibility	NOUN
ajote-8309	285	20	in	in	ADP
ajote-8309	285	21	under	under	ADV
ajote-8309	285	22	-	-	PUNCT
ajote-8309	285	23	resourced	resource	VERB
ajote-8309	285	24	classrooms	classroom	NOUN
ajote-8309	285	25	.	.	PUNCT
ajote-8309	286	1	acknowledgements	acknowledgement	NOUN
ajote-8309	286	2	:	:	PUNCT
ajote-8309	286	3	we	we	PRON
ajote-8309	286	4	acknowledge	acknowledge	VERB
ajote-8309	286	5	and	and	CCONJ
ajote-8309	286	6	appreciate	appreciate	VERB
ajote-8309	286	7	the	the	DET
ajote-8309	286	8	assistance	assistance	NOUN
ajote-8309	286	9	from	from	ADP
ajote-8309	286	10	the	the	DET
ajote-8309	286	11	pre	pre	ADJ
ajote-8309	286	12	-	-	ADJ
ajote-8309	286	13	service	service	ADJ
ajote-8309	286	14	teachers	teacher	NOUN
ajote-8309	286	15	who	who	PRON
ajote-8309	286	16	volunteered	volunteer	VERB
ajote-8309	286	17	to	to	PART
ajote-8309	286	18	participate	participate	VERB
ajote-8309	286	19	in	in	ADP
ajote-8309	286	20	the	the	DET
ajote-8309	286	21	project	project	NOUN
ajote-8309	286	22	.	.	PUNCT
ajote-8309	287	1	competing	compete	VERB
ajote-8309	287	2	interests	interest	NOUN
ajote-8309	287	3	:	:	PUNCT
ajote-8309	287	4	the	the	DET
ajote-8309	287	5	authors	author	NOUN
ajote-8309	287	6	declare	declare	VERB
ajote-8309	287	7	that	that	SCONJ
ajote-8309	287	8	no	no	DET
ajote-8309	287	9	competing	compete	VERB
ajote-8309	287	10	interests	interest	NOUN
ajote-8309	287	11	exist	exist	VERB
ajote-8309	287	12	.	.	PUNCT
ajote-8309	288	1	authors	author	NOUN
ajote-8309	288	2	’	'	PUNCT
ajote-8309	288	3	contributions	contribution	NOUN
ajote-8309	288	4	:	:	PUNCT
ajote-8309	288	5	the	the	DET
ajote-8309	288	6	first	first	ADJ
ajote-8309	288	7	author	author	NOUN
ajote-8309	288	8	was	be	AUX
ajote-8309	288	9	ph.d	ph.d	PROPN
ajote-8309	288	10	.	.	PUNCT
ajote-8309	288	11	student	student	NOUN
ajote-8309	288	12	under	under	ADP
ajote-8309	288	13	the	the	DET
ajote-8309	288	14	supervision	supervision	NOUN
ajote-8309	288	15	of	of	ADP
ajote-8309	288	16	the	the	DET
ajote-8309	288	17	second	second	ADJ
ajote-8309	288	18	and	and	CCONJ
ajote-8309	288	19	third	third	ADJ
ajote-8309	288	20	authors	author	NOUN
ajote-8309	288	21	.	.	PUNCT
ajote-8309	289	1	the	the	DET
ajote-8309	289	2	first	first	ADJ
ajote-8309	289	3	author	author	NOUN
ajote-8309	289	4	conceptualised	conceptualise	VERB
ajote-8309	289	5	the	the	DET
ajote-8309	289	6	article	article	NOUN
ajote-8309	289	7	and	and	CCONJ
ajote-8309	289	8	the	the	DET
ajote-8309	289	9	second	second	ADJ
ajote-8309	289	10	and	and	CCONJ
ajote-8309	289	11	third	third	ADJ
ajote-8309	289	12	authors	author	NOUN
ajote-8309	289	13	worked	work	VERB
ajote-8309	289	14	on	on	ADP
ajote-8309	289	15	the	the	DET
ajote-8309	289	16	logical	logical	ADJ
ajote-8309	289	17	presentation	presentation	NOUN
ajote-8309	289	18	of	of	ADP
ajote-8309	289	19	the	the	DET
ajote-8309	289	20	ideas	idea	NOUN
ajote-8309	289	21	and	and	CCONJ
ajote-8309	289	22	the	the	DET
ajote-8309	289	23	methodology	methodology	NOUN
ajote-8309	289	24	.	.	PUNCT
ajote-8309	290	1	funding	funding	NOUN
ajote-8309	290	2	information	information	NOUN
ajote-8309	290	3	:	:	PUNCT
ajote-8309	290	4	this	this	DET
ajote-8309	290	5	research	research	NOUN
ajote-8309	290	6	received	receive	VERB
ajote-8309	290	7	no	no	DET
ajote-8309	290	8	specific	specific	ADJ
ajote-8309	290	9	grant	grant	NOUN
ajote-8309	290	10	from	from	ADP
ajote-8309	290	11	any	any	DET
ajote-8309	290	12	funding	funding	NOUN
ajote-8309	290	13	agency	agency	NOUN
ajote-8309	290	14	in	in	ADP
ajote-8309	290	15	the	the	DET
ajote-8309	290	16	public	public	ADJ
ajote-8309	290	17	,	,	PUNCT
ajote-8309	290	18	commercial	commercial	ADJ
ajote-8309	290	19	or	or	CCONJ
ajote-8309	290	20	non	non	ADJ
ajote-8309	290	21	-	-	ADJ
ajote-8309	290	22	profit	profit	ADJ
ajote-8309	290	23	sector	sector	NOUN
ajote-8309	290	24	.	.	PUNCT
ajote-8309	291	1	disclaimer	disclaimer	ADJ
ajote-8309	291	2	:	:	PUNCT
ajote-8309	291	3	the	the	DET
ajote-8309	291	4	views	view	NOUN
ajote-8309	291	5	and	and	CCONJ
ajote-8309	291	6	opinions	opinion	NOUN
ajote-8309	291	7	expressed	express	VERB
ajote-8309	291	8	in	in	ADP
ajote-8309	291	9	this	this	DET
ajote-8309	291	10	article	article	NOUN
ajote-8309	291	11	are	be	AUX
ajote-8309	291	12	those	those	PRON
ajote-8309	291	13	of	of	ADP
ajote-8309	291	14	the	the	DET
ajote-8309	291	15	authors	author	NOUN
ajote-8309	291	16	and	and	CCONJ
ajote-8309	291	17	do	do	AUX
ajote-8309	291	18	not	not	PART
ajote-8309	291	19	necessarily	necessarily	ADV
ajote-8309	291	20	reflect	reflect	VERB
ajote-8309	291	21	the	the	DET
ajote-8309	291	22	official	official	ADJ
ajote-8309	291	23	policy	policy	NOUN
ajote-8309	291	24	or	or	CCONJ
ajote-8309	291	25	position	position	NOUN
ajote-8309	291	26	of	of	ADP
ajote-8309	291	27	any	any	DET
ajote-8309	291	28	affiliated	affiliated	ADJ
ajote-8309	291	29	agency	agency	NOUN
ajote-8309	291	30	of	of	ADP
ajote-8309	291	31	the	the	DET
ajote-8309	291	32	authors	author	NOUN
ajote-8309	291	33	.	.	PUNCT
ajote-8309	292	1	references	reference	NOUN
ajote-8309	292	2	abas	abas	PROPN
ajote-8309	292	3	,	,	PUNCT
ajote-8309	292	4	m.	m.	PROPN
ajote-8309	292	5	c.	c.	PROPN
ajote-8309	292	6	(	(	PUNCT
ajote-8309	292	7	2016	2016	NUM
ajote-8309	292	8	)	)	PUNCT
ajote-8309	292	9	.	.	PUNCT
ajote-8309	293	1	difficulties	difficulty	NOUN
ajote-8309	293	2	in	in	ADP
ajote-8309	293	3	field	field	NOUN
ajote-8309	293	4	-	-	PUNCT
ajote-8309	293	5	based	base	VERB
ajote-8309	293	6	observation	observation	NOUN
ajote-8309	293	7	among	among	ADP
ajote-8309	293	8	pre	pre	ADJ
ajote-8309	293	9	-	-	ADJ
ajote-8309	293	10	service	service	ADJ
ajote-8309	293	11	teachers	teacher	NOUN
ajote-8309	293	12	:	:	PUNCT
ajote-8309	293	13	implications	implication	NOUN
ajote-8309	293	14	to	to	PART
ajote-8309	293	15	practice	practice	VERB
ajote-8309	293	16	teaching	teaching	NOUN
ajote-8309	293	17	.	.	PUNCT
ajote-8309	294	1	international	international	ADJ
ajote-8309	294	2	journal	journal	PROPN
ajote-8309	294	3	of	of	ADP
ajote-8309	294	4	evaluation	evaluation	NOUN
ajote-8309	294	5	and	and	CCONJ
ajote-8309	294	6	research	research	NOUN
ajote-8309	294	7	in	in	ADP
ajote-8309	294	8	education	education	NOUN
ajote-8309	294	9	,	,	PUNCT
ajote-8309	294	10	5(2	5(2	NUM
ajote-8309	294	11	)	)	PUNCT
ajote-8309	294	12	,	,	PUNCT
ajote-8309	294	13	101–112	101–112	NUM
ajote-8309	294	14	.	.	PUNCT
ajote-8309	295	1	https://doi.org/10.11591/ijere.v5i2.4528	https://doi.org/10.11591/ijere.v5i2.4528	PROPN
ajote-8309	295	2	https://doi.org/10.11591/ijere.v5i2.4528	https://doi.org/10.11591/ijere.v5i2.4528	PROPN
ajote-8309	295	3	everton	everton	PROPN
ajote-8309	295	4	jacinto	jacinto	PROPN
ajote-8309	295	5	,	,	PUNCT
ajote-8309	295	6	arne	arne	ADJ
ajote-8309	295	7	jakobsen	jakobsen	NOUN
ajote-8309	295	8	,	,	PUNCT
ajote-8309	295	9	raymond	raymond	PROPN
ajote-8309	295	10	bjuland	bjuland	PROPN
ajote-8309	295	11	ajote	ajote	PROPN
ajote-8309	295	12	vol.14	vol.14	NOUN
ajote-8309	295	13	no.2	no.2	PROPN
ajote-8309	295	14	(	(	PUNCT
ajote-8309	295	15	2025	2025	NUM
ajote-8309	295	16	)	)	PUNCT
ajote-8309	295	17	,	,	PUNCT
ajote-8309	295	18	92	92	NUM
ajote-8309	295	19	-	-	SYM
ajote-8309	295	20	116	116	NUM
ajote-8309	295	21	112	112	NUM
ajote-8309	295	22	attride	attride	NOUN
ajote-8309	295	23	-	-	PUNCT
ajote-8309	295	24	stirling	stirling	NOUN
ajote-8309	295	25	,	,	PUNCT
ajote-8309	295	26	j.	j.	PROPN
ajote-8309	295	27	(	(	PUNCT
ajote-8309	295	28	2001	2001	NUM
ajote-8309	295	29	)	)	PUNCT
ajote-8309	295	30	.	.	PUNCT
ajote-8309	296	1	thematic	thematic	ADJ
ajote-8309	296	2	networks	network	NOUN
ajote-8309	296	3	:	:	PUNCT
ajote-8309	296	4	an	an	DET
ajote-8309	296	5	analytic	analytic	ADJ
ajote-8309	296	6	tool	tool	NOUN
ajote-8309	296	7	for	for	ADP
ajote-8309	296	8	qualitative	qualitative	ADJ
ajote-8309	296	9	research	research	NOUN
ajote-8309	296	10	.	.	PUNCT
ajote-8309	297	1	qualitative	qualitative	ADJ
ajote-8309	297	2	research	research	NOUN
ajote-8309	297	3	,	,	PUNCT
ajote-8309	297	4	1(3	1(3	NUM
ajote-8309	297	5	)	)	PUNCT
ajote-8309	297	6	,	,	PUNCT
ajote-8309	297	7	385–405	385–405	NUM
ajote-8309	297	8	.	.	PUNCT
ajote-8309	298	1	https://doi.org/10.1177/146879410100100307	https://doi.org/10.1177/146879410100100307	NUM
ajote-8309	298	2	ball	ball	NOUN
ajote-8309	298	3	,	,	PUNCT
ajote-8309	298	4	d.	d.	PROPN
ajote-8309	298	5	l.	l.	PROPN
ajote-8309	298	6	(	(	PUNCT
ajote-8309	298	7	2000	2000	NUM
ajote-8309	298	8	)	)	PUNCT
ajote-8309	298	9	.	.	PUNCT
ajote-8309	299	1	bridging	bridging	NOUN
ajote-8309	299	2	practices	practice	NOUN
ajote-8309	299	3	:	:	PUNCT
ajote-8309	299	4	intertwining	intertwine	VERB
ajote-8309	299	5	content	content	NOUN
ajote-8309	299	6	and	and	CCONJ
ajote-8309	299	7	pedagogy	pedagogy	NOUN
ajote-8309	299	8	in	in	ADP
ajote-8309	299	9	teaching	teaching	NOUN
ajote-8309	299	10	and	and	CCONJ
ajote-8309	299	11	learning	learn	VERB
ajote-8309	299	12	to	to	PART
ajote-8309	299	13	teach	teach	VERB
ajote-8309	299	14	.	.	PUNCT
ajote-8309	300	1	journal	journal	NOUN
ajote-8309	300	2	of	of	ADP
ajote-8309	300	3	teacher	teacher	NOUN
ajote-8309	300	4	education	education	NOUN
ajote-8309	300	5	,	,	PUNCT
ajote-8309	300	6	51(3	51(3	NUM
ajote-8309	300	7	)	)	PUNCT
ajote-8309	300	8	,	,	PUNCT
ajote-8309	300	9	241–247	241–247	NUM
ajote-8309	300	10	.	.	PUNCT
ajote-8309	301	1	https://doi.org/10.1177/0022487100051003013	https://doi.org/10.1177/0022487100051003013	NUM
ajote-8309	301	2	ball	ball	NOUN
ajote-8309	301	3	,	,	PUNCT
ajote-8309	301	4	d.	d.	PROPN
ajote-8309	301	5	l.	l.	PROPN
ajote-8309	301	6	(	(	PUNCT
ajote-8309	301	7	2017	2017	NUM
ajote-8309	301	8	)	)	PUNCT
ajote-8309	301	9	.	.	PUNCT
ajote-8309	302	1	uncovering	uncover	VERB
ajote-8309	302	2	the	the	DET
ajote-8309	302	3	special	special	ADJ
ajote-8309	302	4	mathematical	mathematical	ADJ
ajote-8309	302	5	work	work	NOUN
ajote-8309	302	6	of	of	ADP
ajote-8309	302	7	teaching	teaching	NOUN
ajote-8309	302	8	.	.	PUNCT
ajote-8309	303	1	in	in	ADP
ajote-8309	303	2	g.	g.	PROPN
ajote-8309	303	3	kaiser	kaiser	PROPN
ajote-8309	303	4	(	(	PUNCT
ajote-8309	303	5	ed	ed	NOUN
ajote-8309	303	6	.	.	PUNCT
ajote-8309	303	7	)	)	PUNCT
ajote-8309	304	1	,	,	PUNCT
ajote-8309	304	2	proceedings	proceeding	NOUN
ajote-8309	304	3	from	from	ADP
ajote-8309	304	4	the	the	DET
ajote-8309	304	5	13th	13th	ADJ
ajote-8309	304	6	international	international	ADJ
ajote-8309	304	7	congress	congress	PROPN
ajote-8309	304	8	of	of	ADP
ajote-8309	304	9	mathematics	mathematics	PROPN
ajote-8309	304	10	education	education	NOUN
ajote-8309	304	11	(	(	PUNCT
ajote-8309	304	12	pp	pp	ADJ
ajote-8309	304	13	.	.	PUNCT
ajote-8309	304	14	11	11	NUM
ajote-8309	304	15	–	–	PUNCT
ajote-8309	304	16	34	34	NUM
ajote-8309	304	17	)	)	PUNCT
ajote-8309	304	18	.	.	PUNCT
ajote-8309	305	1	springer	springer	NOUN
ajote-8309	305	2	.	.	PUNCT
ajote-8309	306	1	ball	ball	PROPN
ajote-8309	306	2	,	,	PUNCT
ajote-8309	306	3	d.	d.	PROPN
ajote-8309	306	4	l.	l.	PROPN
ajote-8309	306	5	,	,	PUNCT
ajote-8309	306	6	thames	thames	PROPN
ajote-8309	306	7	,	,	PUNCT
ajote-8309	306	8	m.	m.	PROPN
ajote-8309	306	9	h.	h.	PROPN
ajote-8309	306	10	,	,	PUNCT
ajote-8309	306	11	&	&	CCONJ
ajote-8309	306	12	phelps	phelps	PROPN
ajote-8309	306	13	,	,	PUNCT
ajote-8309	306	14	g.	g.	PROPN
ajote-8309	306	15	(	(	PUNCT
ajote-8309	306	16	2008	2008	NUM
ajote-8309	306	17	)	)	PUNCT
ajote-8309	306	18	.	.	PUNCT
ajote-8309	307	1	content	content	NOUN
ajote-8309	307	2	knowledge	knowledge	NOUN
ajote-8309	307	3	for	for	ADP
ajote-8309	307	4	teaching	teach	VERB
ajote-8309	307	5	:	:	PUNCT
ajote-8309	307	6	what	what	PRON
ajote-8309	307	7	makes	make	VERB
ajote-8309	307	8	it	it	PRON
ajote-8309	307	9	special	special	ADJ
ajote-8309	307	10	?	?	PUNCT
ajote-8309	308	1	journal	journal	NOUN
ajote-8309	308	2	of	of	ADP
ajote-8309	308	3	teacher	teacher	NOUN
ajote-8309	308	4	education	education	NOUN
ajote-8309	308	5	,	,	PUNCT
ajote-8309	308	6	59(5	59(5	NUM
ajote-8309	308	7	)	)	PUNCT
ajote-8309	308	8	,	,	PUNCT
ajote-8309	308	9	389–407	389–407	NUM
ajote-8309	308	10	.	.	PUNCT
ajote-8309	309	1	https://doi.org/10.1177/0022487108324554	https://doi.org/10.1177/0022487108324554	PROPN
ajote-8309	309	2	braun	braun	NOUN
ajote-8309	309	3	,	,	PUNCT
ajote-8309	309	4	v.	v.	PROPN
ajote-8309	309	5	,	,	PUNCT
ajote-8309	309	6	&	&	CCONJ
ajote-8309	309	7	clarke	clarke	PROPN
ajote-8309	309	8	,	,	PUNCT
ajote-8309	309	9	v.	v.	PROPN
ajote-8309	309	10	(	(	PUNCT
ajote-8309	309	11	2012	2012	NUM
ajote-8309	309	12	)	)	PUNCT
ajote-8309	309	13	.	.	PUNCT
ajote-8309	310	1	thematic	thematic	ADJ
ajote-8309	310	2	analysis	analysis	NOUN
ajote-8309	310	3	.	.	PUNCT
ajote-8309	311	1	in	in	ADP
ajote-8309	311	2	h.	h.	PROPN
ajote-8309	311	3	cooper	cooper	PROPN
ajote-8309	311	4	,	,	PUNCT
ajote-8309	311	5	p.	p.	PROPN
ajote-8309	311	6	m.	m.	NOUN
ajote-8309	311	7	camic	camic	PROPN
ajote-8309	311	8	,	,	PUNCT
ajote-8309	311	9	d.	d.	PROPN
ajote-8309	311	10	l.	l.	PROPN
ajote-8309	312	1	long	long	PROPN
ajote-8309	312	2	,	,	PUNCT
ajote-8309	312	3	a.	a.	NOUN
ajote-8309	312	4	t.	t.	PROPN
ajote-8309	312	5	panter	panter	PROPN
ajote-8309	312	6	,	,	PUNCT
ajote-8309	312	7	d.	d.	PROPN
ajote-8309	312	8	rindskopf	rindskopf	PROPN
ajote-8309	312	9	,	,	PUNCT
ajote-8309	312	10	&	&	CCONJ
ajote-8309	312	11	k.	k.	PROPN
ajote-8309	312	12	j.	j.	PROPN
ajote-8309	312	13	sher	sher	PROPN
ajote-8309	312	14	(	(	PUNCT
ajote-8309	312	15	eds	ed	NOUN
ajote-8309	312	16	.	.	PUNCT
ajote-8309	312	17	)	)	PUNCT
ajote-8309	312	18	,	,	PUNCT
ajote-8309	312	19	apa	apa	PROPN
ajote-8309	312	20	handbook	handbook	PROPN
ajote-8309	312	21	of	of	ADP
ajote-8309	312	22	research	research	NOUN
ajote-8309	312	23	methods	method	NOUN
ajote-8309	312	24	in	in	ADP
ajote-8309	312	25	psychology	psychology	NOUN
ajote-8309	312	26	,	,	PUNCT
ajote-8309	312	27	vol	vol	NOUN
ajote-8309	312	28	.	.	NOUN
ajote-8309	312	29	2	2	NUM
ajote-8309	312	30	:	:	PUNCT
ajote-8309	312	31	research	research	NOUN
ajote-8309	312	32	designs	design	NOUN
ajote-8309	312	33	:	:	PUNCT
ajote-8309	312	34	quantitative	quantitative	ADJ
ajote-8309	312	35	,	,	PUNCT
ajote-8309	312	36	qualitative	qualitative	ADJ
ajote-8309	312	37	,	,	PUNCT
ajote-8309	312	38	neuropsychological	neuropsychological	ADJ
ajote-8309	312	39	,	,	PUNCT
ajote-8309	312	40	and	and	CCONJ
ajote-8309	312	41	biological	biological	ADJ
ajote-8309	312	42	(	(	PUNCT
ajote-8309	312	43	pp	pp	ADJ
ajote-8309	312	44	.	.	PUNCT
ajote-8309	313	1	57–71	57–71	NUM
ajote-8309	313	2	)	)	PUNCT
ajote-8309	313	3	.	.	PUNCT
ajote-8309	314	1	american	american	ADJ
ajote-8309	314	2	psychological	psychological	PROPN
ajote-8309	314	3	association	association	PROPN
ajote-8309	314	4	.	.	PUNCT
ajote-8309	315	1	çelik	çelik	PROPN
ajote-8309	315	2	,	,	PUNCT
ajote-8309	315	3	a.	a.	PROPN
ajote-8309	315	4	ö.	ö.	PROPN
ajote-8309	315	5	,	,	PUNCT
ajote-8309	315	6	&	&	CCONJ
ajote-8309	315	7	güzel	güzel	PROPN
ajote-8309	315	8	,	,	PUNCT
ajote-8309	315	9	e.	e.	PROPN
ajote-8309	315	10	b.	b.	PROPN
ajote-8309	315	11	(	(	PUNCT
ajote-8309	315	12	2017	2017	NUM
ajote-8309	315	13	)	)	PUNCT
ajote-8309	315	14	.	.	PUNCT
ajote-8309	316	1	mathematics	mathematics	PROPN
ajote-8309	316	2	teachers	teacher	NOUN
ajote-8309	316	3	’	’	PART
ajote-8309	316	4	knowledge	knowledge	NOUN
ajote-8309	316	5	of	of	ADP
ajote-8309	316	6	student	student	NOUN
ajote-8309	316	7	thinking	thinking	NOUN
ajote-8309	316	8	and	and	CCONJ
ajote-8309	316	9	its	its	PRON
ajote-8309	316	10	evidences	evidence	NOUN
ajote-8309	316	11	in	in	ADP
ajote-8309	316	12	their	their	PRON
ajote-8309	316	13	instruction	instruction	NOUN
ajote-8309	316	14	.	.	PUNCT
ajote-8309	317	1	journal	journal	NOUN
ajote-8309	317	2	of	of	ADP
ajote-8309	317	3	mathematics	mathematics	PROPN
ajote-8309	317	4	education	education	NOUN
ajote-8309	317	5	,	,	PUNCT
ajote-8309	317	6	8(2	8(2	NUM
ajote-8309	317	7	)	)	PUNCT
ajote-8309	317	8	,	,	PUNCT
ajote-8309	317	9	199	199	NUM
ajote-8309	317	10	–	–	SYM
ajote-8309	317	11	210	210	NUM
ajote-8309	317	12	.	.	PUNCT
ajote-8309	318	1	http://dx.doi.org/10.22342/jme.8.2.4144.199-210	http://dx.doi.org/10.22342/jme.8.2.4144.199-210	PROPN
ajote-8309	318	2	charalambous	charalambous	ADJ
ajote-8309	318	3	,	,	PUNCT
ajote-8309	318	4	c.	c.	PROPN
ajote-8309	318	5	y.	y.	PROPN
ajote-8309	318	6	(	(	PUNCT
ajote-8309	318	7	2016	2016	NUM
ajote-8309	318	8	)	)	PUNCT
ajote-8309	318	9	.	.	PUNCT
ajote-8309	319	1	investigating	investigate	VERB
ajote-8309	319	2	the	the	DET
ajote-8309	319	3	knowledge	knowledge	NOUN
ajote-8309	319	4	needed	need	VERB
ajote-8309	319	5	for	for	ADP
ajote-8309	319	6	teaching	teach	VERB
ajote-8309	319	7	mathematics	mathematic	NOUN
ajote-8309	319	8	:	:	PUNCT
ajote-8309	319	9	an	an	DET
ajote-8309	319	10	exploratory	exploratory	ADJ
ajote-8309	319	11	validation	validation	NOUN
ajote-8309	319	12	study	study	NOUN
ajote-8309	319	13	focusing	focus	VERB
ajote-8309	319	14	on	on	ADP
ajote-8309	319	15	teaching	teaching	NOUN
ajote-8309	319	16	practices	practice	NOUN
ajote-8309	319	17	.	.	PUNCT
ajote-8309	320	1	journal	journal	NOUN
ajote-8309	320	2	of	of	ADP
ajote-8309	320	3	teacher	teacher	NOUN
ajote-8309	320	4	education	education	NOUN
ajote-8309	320	5	,	,	PUNCT
ajote-8309	320	6	67(3	67(3	NUM
ajote-8309	320	7	)	)	PUNCT
ajote-8309	320	8	,	,	PUNCT
ajote-8309	320	9	220–237	220–237	NUM
ajote-8309	320	10	.	.	PUNCT
ajote-8309	321	1	https://doi.org/10.1177/0022487116634168	https://doi.org/10.1177/0022487116634168	NOUN
ajote-8309	321	2	davis	davis	PROPN
ajote-8309	321	3	,	,	PUNCT
ajote-8309	321	4	b.	b.	PROPN
ajote-8309	321	5	,	,	PUNCT
ajote-8309	321	6	&	&	CCONJ
ajote-8309	321	7	simmt	simmt	PROPN
ajote-8309	321	8	,	,	PUNCT
ajote-8309	321	9	e.	e.	PROPN
ajote-8309	321	10	(	(	PUNCT
ajote-8309	321	11	2006	2006	NUM
ajote-8309	321	12	)	)	PUNCT
ajote-8309	321	13	.	.	PUNCT
ajote-8309	322	1	mathematics	mathematic	NOUN
ajote-8309	322	2	-	-	PUNCT
ajote-8309	322	3	for	for	ADP
ajote-8309	322	4	-	-	PUNCT
ajote-8309	322	5	teaching	teaching	NOUN
ajote-8309	322	6	:	:	PUNCT
ajote-8309	322	7	an	an	DET
ajote-8309	322	8	ongoing	ongoing	ADJ
ajote-8309	322	9	investigation	investigation	NOUN
ajote-8309	322	10	of	of	ADP
ajote-8309	322	11	the	the	DET
ajote-8309	322	12	mathematics	mathematic	NOUN
ajote-8309	322	13	that	that	PRON
ajote-8309	322	14	teachers	teacher	NOUN
ajote-8309	322	15	(	(	PUNCT
ajote-8309	322	16	need	need	VERB
ajote-8309	322	17	to	to	PART
ajote-8309	322	18	)	)	PUNCT
ajote-8309	322	19	know	know	VERB
ajote-8309	322	20	.	.	PUNCT
ajote-8309	323	1	educational	educational	ADJ
ajote-8309	323	2	studies	study	NOUN
ajote-8309	323	3	in	in	ADP
ajote-8309	323	4	mathematics	mathematic	NOUN
ajote-8309	323	5	,	,	PUNCT
ajote-8309	323	6	61(3	61(3	NUM
ajote-8309	323	7	)	)	PUNCT
ajote-8309	323	8	,	,	PUNCT
ajote-8309	323	9	293–319	293–319	NUM
ajote-8309	323	10	.	.	PUNCT
ajote-8309	324	1	https://doi.org/10.1007/s10649-006-2372-4	https://doi.org/10.1007/s10649-006-2372-4	VERB
ajote-8309	324	2	ding	ding	NOUN
ajote-8309	324	3	,	,	PUNCT
ajote-8309	324	4	m.	m.	NOUN
ajote-8309	324	5	(	(	PUNCT
ajote-8309	324	6	2016	2016	NUM
ajote-8309	324	7	)	)	PUNCT
ajote-8309	324	8	.	.	PUNCT
ajote-8309	325	1	developing	develop	VERB
ajote-8309	325	2	preservice	preservice	NOUN
ajote-8309	325	3	elementary	elementary	PROPN
ajote-8309	325	4	teachers	teachers	PROPN
ajote-8309	325	5	’	’	PART
ajote-8309	325	6	specialized	specialized	ADJ
ajote-8309	325	7	content	content	NOUN
ajote-8309	325	8	knowledge	knowledge	NOUN
ajote-8309	325	9	:	:	PUNCT
ajote-8309	325	10	the	the	DET
ajote-8309	325	11	case	case	NOUN
ajote-8309	325	12	of	of	ADP
ajote-8309	325	13	the	the	DET
ajote-8309	325	14	associative	associative	ADJ
ajote-8309	325	15	property	property	NOUN
ajote-8309	325	16	.	.	PUNCT
ajote-8309	326	1	international	international	ADJ
ajote-8309	326	2	journal	journal	NOUN
ajote-8309	326	3	of	of	ADP
ajote-8309	326	4	stem	stem	NOUN
ajote-8309	326	5	education	education	NOUN
ajote-8309	326	6	,	,	PUNCT
ajote-8309	326	7	3(9	3(9	NUM
ajote-8309	326	8	)	)	PUNCT
ajote-8309	326	9	,	,	PUNCT
ajote-8309	326	10	1–19	1–19	PROPN
ajote-8309	326	11	.	.	PUNCT
ajote-8309	327	1	https://doi.org/10.1186/s40594-016-0041-4	https://doi.org/10.1186/s40594-016-0041-4	PROPN
ajote-8309	327	2	ding	ding	NOUN
ajote-8309	327	3	,	,	PUNCT
ajote-8309	327	4	m.	m.	NOUN
ajote-8309	327	5	,	,	PUNCT
ajote-8309	327	6	&	&	CCONJ
ajote-8309	327	7	heffernan	heffernan	PROPN
ajote-8309	327	8	,	,	PUNCT
ajote-8309	327	9	k.	k.	PROPN
ajote-8309	327	10	(	(	PUNCT
ajote-8309	327	11	2018	2018	NUM
ajote-8309	327	12	)	)	PUNCT
ajote-8309	327	13	.	.	PUNCT
ajote-8309	328	1	transferring	transfer	VERB
ajote-8309	328	2	specialized	specialized	ADJ
ajote-8309	328	3	content	content	NOUN
ajote-8309	328	4	knowledge	knowledge	NOUN
ajote-8309	328	5	to	to	ADP
ajote-8309	328	6	elementary	elementary	ADJ
ajote-8309	328	7	classrooms	classroom	NOUN
ajote-8309	328	8	:	:	PUNCT
ajote-8309	328	9	preservice	preservice	NOUN
ajote-8309	328	10	teachers	teacher	NOUN
ajote-8309	328	11	’	'	PUNCT
ajote-8309	328	12	learning	learn	VERB
ajote-8309	328	13	to	to	PART
ajote-8309	328	14	teach	teach	VERB
ajote-8309	328	15	the	the	DET
ajote-8309	328	16	associative	associative	ADJ
ajote-8309	328	17	property	property	NOUN
ajote-8309	328	18	.	.	PUNCT
ajote-8309	329	1	https://doi.org/10.1177/146879410100100307	https://doi.org/10.1177/146879410100100307	NUM
ajote-8309	329	2	https://doi.org/10.1177/0022487100051003013	https://doi.org/10.1177/0022487100051003013	NUM
ajote-8309	329	3	https://doi.org/10.1177/0022487108324554	https://doi.org/10.1177/0022487108324554	PROPN
ajote-8309	329	4	http://dx.doi.org/10.22342/jme.8.2.4144.199-210	http://dx.doi.org/10.22342/jme.8.2.4144.199-210	NOUN
ajote-8309	329	5	https://doi.org/10.1177/0022487116634168	https://doi.org/10.1177/0022487116634168	NOUN
ajote-8309	329	6	https://doi.org/10.1007/s10649-006-2372-4	https://doi.org/10.1007/s10649-006-2372-4	X
ajote-8309	329	7	https://doi.org/10.1186/s40594-016-0041-4	https://doi.org/10.1186/s40594-016-0041-4	NUM
ajote-8309	329	8	tracing	trace	VERB
ajote-8309	329	9	pre	pre	ADJ
ajote-8309	329	10	-	-	ADJ
ajote-8309	329	11	service	service	ADJ
ajote-8309	329	12	teachers	teacher	NOUN
ajote-8309	329	13	’	’	PART
ajote-8309	329	14	understanding	understanding	NOUN
ajote-8309	329	15	of	of	ADP
ajote-8309	329	16	specialized	specialized	ADJ
ajote-8309	329	17	content	content	NOUN
ajote-8309	329	18	knowledge	knowledge	NOUN
ajote-8309	329	19	for	for	ADP
ajote-8309	329	20	sequencing	sequence	VERB
ajote-8309	329	21	and	and	CCONJ
ajote-8309	329	22	structuring	structure	VERB
ajote-8309	329	23	mathematics	mathematic	NOUN
ajote-8309	329	24	learning	learn	VERB
ajote-8309	329	25	in	in	ADP
ajote-8309	329	26	low	low	ADJ
ajote-8309	329	27	-	-	PUNCT
ajote-8309	329	28	resource	resource	NOUN
ajote-8309	329	29	malawi	malawi	PROPN
ajote-8309	329	30	classrooms	classroom	NOUN
ajote-8309	329	31	ajote	ajote	VERB
ajote-8309	329	32	vol.14	vol.14	NOUN
ajote-8309	329	33	no.2	no.2	PROPN
ajote-8309	329	34	(	(	PUNCT
ajote-8309	329	35	2025	2025	NUM
ajote-8309	329	36	)	)	PUNCT
ajote-8309	329	37	,	,	PUNCT
ajote-8309	329	38	92	92	NUM
ajote-8309	329	39	-	-	SYM
ajote-8309	329	40	116	116	NUM
ajote-8309	329	41	113	113	NUM
ajote-8309	329	42	international	international	ADJ
ajote-8309	329	43	journal	journal	NOUN
ajote-8309	329	44	of	of	ADP
ajote-8309	329	45	mathematical	mathematical	ADJ
ajote-8309	329	46	education	education	NOUN
ajote-8309	329	47	in	in	ADP
ajote-8309	329	48	science	science	NOUN
ajote-8309	329	49	and	and	CCONJ
ajote-8309	329	50	technology	technology	NOUN
ajote-8309	329	51	,	,	PUNCT
ajote-8309	329	52	49(6	49(6	NOUN
ajote-8309	329	53	)	)	PUNCT
ajote-8309	329	54	,	,	PUNCT
ajote-8309	329	55	899–921	899–921	NUM
ajote-8309	329	56	.	.	PUNCT
ajote-8309	330	1	https://doi.org/10.1080/0020739x.2018.1426793	https://doi.org/10.1080/0020739x.2018.1426793	ADJ
ajote-8309	330	2	freire	freire	NOUN
ajote-8309	330	3	,	,	PUNCT
ajote-8309	330	4	p.	p.	NOUN
ajote-8309	330	5	(	(	PUNCT
ajote-8309	330	6	1985	1985	NUM
ajote-8309	330	7	)	)	PUNCT
ajote-8309	330	8	.	.	PUNCT
ajote-8309	331	1	pedagogia	pedagogia	PROPN
ajote-8309	331	2	do	do	AUX
ajote-8309	331	3	oprimido	oprimido	PROPN
ajote-8309	331	4	(	(	PUNCT
ajote-8309	331	5	17th	17th	NOUN
ajote-8309	331	6	ed	ed	NOUN
ajote-8309	331	7	.	.	PUNCT
ajote-8309	331	8	)	)	PUNCT
ajote-8309	331	9	.	.	PUNCT
ajote-8309	332	1	paz	paz	PROPN
ajote-8309	332	2	e	e	NOUN
ajote-8309	332	3	terra	terra	X
ajote-8309	332	4	.	.	PUNCT
ajote-8309	333	1	galant	galant	PROPN
ajote-8309	333	2	,	,	PUNCT
ajote-8309	333	3	j.	j.	PROPN
ajote-8309	333	4	(	(	PUNCT
ajote-8309	333	5	2013	2013	NUM
ajote-8309	333	6	)	)	PUNCT
ajote-8309	333	7	.	.	PUNCT
ajote-8309	334	1	selecting	select	VERB
ajote-8309	334	2	and	and	CCONJ
ajote-8309	334	3	sequencing	sequence	VERB
ajote-8309	334	4	mathematics	mathematic	NOUN
ajote-8309	334	5	tasks	task	NOUN
ajote-8309	334	6	:	:	PUNCT
ajote-8309	334	7	seeking	seek	VERB
ajote-8309	334	8	mathematical	mathematical	ADJ
ajote-8309	334	9	knowledge	knowledge	NOUN
ajote-8309	334	10	for	for	ADP
ajote-8309	334	11	teaching	teaching	NOUN
ajote-8309	334	12	.	.	PUNCT
ajote-8309	335	1	perspectives	perspective	NOUN
ajote-8309	335	2	in	in	ADP
ajote-8309	335	3	education	education	NOUN
ajote-8309	335	4	,	,	PUNCT
ajote-8309	335	5	31(3	31(3	NUM
ajote-8309	335	6	)	)	PUNCT
ajote-8309	335	7	,	,	PUNCT
ajote-8309	335	8	34–48	34–48	NUM
ajote-8309	335	9	.	.	PUNCT
ajote-8309	336	1	grossman	grossman	PROPN
ajote-8309	336	2	,	,	PUNCT
ajote-8309	336	3	p.	p.	PROPN
ajote-8309	336	4	l.	l.	PROPN
ajote-8309	336	5	(	(	PUNCT
ajote-8309	336	6	1990	1990	NUM
ajote-8309	336	7	)	)	PUNCT
ajote-8309	336	8	.	.	PUNCT
ajote-8309	337	1	the	the	DET
ajote-8309	337	2	making	making	NOUN
ajote-8309	337	3	of	of	ADP
ajote-8309	337	4	a	a	DET
ajote-8309	337	5	teacher	teacher	NOUN
ajote-8309	337	6	:	:	PUNCT
ajote-8309	337	7	teacher	teacher	NOUN
ajote-8309	337	8	knowledge	knowledge	NOUN
ajote-8309	337	9	and	and	CCONJ
ajote-8309	337	10	teacher	teacher	NOUN
ajote-8309	337	11	education	education	NOUN
ajote-8309	337	12	.	.	PUNCT
ajote-8309	338	1	teachers	teacher	NOUN
ajote-8309	338	2	college	college	PROPN
ajote-8309	338	3	press	press	PROPN
ajote-8309	338	4	.	.	PUNCT
ajote-8309	339	1	hill	hill	PROPN
ajote-8309	339	2	,	,	PUNCT
ajote-8309	339	3	h.	h.	PROPN
ajote-8309	339	4	c.	c.	PROPN
ajote-8309	339	5	,	,	PUNCT
ajote-8309	339	6	ball	ball	PROPN
ajote-8309	339	7	,	,	PUNCT
ajote-8309	339	8	d.	d.	PROPN
ajote-8309	339	9	l.	l.	PROPN
ajote-8309	339	10	,	,	PUNCT
ajote-8309	339	11	&	&	CCONJ
ajote-8309	339	12	schilling	schilling	NOUN
ajote-8309	339	13	,	,	PUNCT
ajote-8309	339	14	s.	s.	PROPN
ajote-8309	339	15	g.	g.	PROPN
ajote-8309	339	16	(	(	PUNCT
ajote-8309	339	17	2008	2008	NUM
ajote-8309	339	18	)	)	PUNCT
ajote-8309	339	19	.	.	PUNCT
ajote-8309	340	1	unpacking	unpack	VERB
ajote-8309	340	2	pedagogical	pedagogical	ADJ
ajote-8309	340	3	content	content	NOUN
ajote-8309	340	4	knowledge	knowledge	NOUN
ajote-8309	340	5	:	:	PUNCT
ajote-8309	340	6	conceptualizing	conceptualize	VERB
ajote-8309	340	7	and	and	CCONJ
ajote-8309	340	8	measuring	measure	VERB
ajote-8309	340	9	teachers	teacher	NOUN
ajote-8309	340	10	’	'	PUNCT
ajote-8309	340	11	topic	topic	NOUN
ajote-8309	340	12	-	-	PUNCT
ajote-8309	340	13	specific	specific	ADJ
ajote-8309	340	14	knowledge	knowledge	NOUN
ajote-8309	340	15	of	of	ADP
ajote-8309	340	16	students	student	NOUN
ajote-8309	340	17	.	.	PUNCT
ajote-8309	341	1	journal	journal	PROPN
ajote-8309	341	2	for	for	ADP
ajote-8309	341	3	research	research	NOUN
ajote-8309	341	4	in	in	ADP
ajote-8309	341	5	mathematics	mathematics	PROPN
ajote-8309	341	6	education	education	NOUN
ajote-8309	341	7	,	,	PUNCT
ajote-8309	341	8	39(4	39(4	NOUN
ajote-8309	341	9	)	)	PUNCT
ajote-8309	341	10	,	,	PUNCT
ajote-8309	341	11	372–400	372–400	NUM
ajote-8309	341	12	.	.	PUNCT
ajote-8309	342	1	https://doi.org/10.5951/jresematheduc.39.4.0372	https://doi.org/10.5951/jresematheduc.39.4.0372	PROPN
ajote-8309	342	2	hill	hill	PROPN
ajote-8309	342	3	,	,	PUNCT
ajote-8309	342	4	h.	h.	PROPN
ajote-8309	342	5	c.	c.	PROPN
ajote-8309	342	6	,	,	PUNCT
ajote-8309	342	7	rowan	rowan	PROPN
ajote-8309	342	8	,	,	PUNCT
ajote-8309	342	9	b.	b.	PROPN
ajote-8309	342	10	,	,	PUNCT
ajote-8309	342	11	&	&	CCONJ
ajote-8309	342	12	ball	ball	PROPN
ajote-8309	342	13	,	,	PUNCT
ajote-8309	342	14	d.	d.	PROPN
ajote-8309	342	15	l.	l.	PROPN
ajote-8309	342	16	(	(	PUNCT
ajote-8309	342	17	2005	2005	NUM
ajote-8309	342	18	)	)	PUNCT
ajote-8309	342	19	.	.	PUNCT
ajote-8309	343	1	effects	effect	NOUN
ajote-8309	343	2	of	of	ADP
ajote-8309	343	3	teachers	teacher	NOUN
ajote-8309	343	4	’	'	PUNCT
ajote-8309	343	5	mathematical	mathematical	ADJ
ajote-8309	343	6	knowledge	knowledge	NOUN
ajote-8309	343	7	for	for	ADP
ajote-8309	343	8	teaching	teach	VERB
ajote-8309	343	9	on	on	ADP
ajote-8309	343	10	student	student	NOUN
ajote-8309	343	11	achievement	achievement	NOUN
ajote-8309	343	12	.	.	PUNCT
ajote-8309	344	1	american	american	ADJ
ajote-8309	344	2	educational	educational	ADJ
ajote-8309	344	3	research	research	PROPN
ajote-8309	344	4	journal	journal	PROPN
ajote-8309	344	5	,	,	PUNCT
ajote-8309	344	6	42(2	42(2	PROPN
ajote-8309	344	7	)	)	PUNCT
ajote-8309	344	8	,	,	PUNCT
ajote-8309	344	9	371–406	371–406	NUM
ajote-8309	344	10	.	.	PUNCT
ajote-8309	345	1	https://doi.org/10.3102/00028312042002371	https://doi.org/10.3102/00028312042002371	PROPN
ajote-8309	345	2	hill	hill	PROPN
ajote-8309	345	3	,	,	PUNCT
ajote-8309	345	4	h.	h.	PROPN
ajote-8309	345	5	c.	c.	PROPN
ajote-8309	345	6	,	,	PUNCT
ajote-8309	345	7	schilling	schilling	NOUN
ajote-8309	345	8	,	,	PUNCT
ajote-8309	345	9	s.	s.	PROPN
ajote-8309	345	10	g.	g.	PROPN
ajote-8309	345	11	,	,	PUNCT
ajote-8309	345	12	&	&	CCONJ
ajote-8309	345	13	ball	ball	PROPN
ajote-8309	345	14	,	,	PUNCT
ajote-8309	345	15	d.	d.	PROPN
ajote-8309	345	16	l.	l.	PROPN
ajote-8309	345	17	(	(	PUNCT
ajote-8309	345	18	2004	2004	NUM
ajote-8309	345	19	)	)	PUNCT
ajote-8309	345	20	.	.	PUNCT
ajote-8309	346	1	developing	develop	VERB
ajote-8309	346	2	measures	measure	NOUN
ajote-8309	346	3	of	of	ADP
ajote-8309	346	4	teachers	teacher	NOUN
ajote-8309	346	5	’	’	PART
ajote-8309	346	6	mathematics	mathematic	NOUN
ajote-8309	346	7	knowledge	knowledge	NOUN
ajote-8309	346	8	for	for	ADP
ajote-8309	346	9	teaching	teaching	NOUN
ajote-8309	346	10	.	.	PUNCT
ajote-8309	347	1	the	the	DET
ajote-8309	347	2	elementary	elementary	ADJ
ajote-8309	347	3	school	school	PROPN
ajote-8309	347	4	journal	journal	NOUN
ajote-8309	347	5	,	,	PUNCT
ajote-8309	347	6	105(1	105(1	NUM
ajote-8309	347	7	)	)	PUNCT
ajote-8309	347	8	,	,	PUNCT
ajote-8309	347	9	11–30	11–30	NUM
ajote-8309	347	10	.	.	PUNCT
ajote-8309	347	11	https://doi.org/10.1086/428763	https://doi.org/10.1086/428763	PROPN
ajote-8309	347	12	hine	hine	PROPN
ajote-8309	347	13	,	,	PUNCT
ajote-8309	347	14	g.	g.	PROPN
ajote-8309	347	15	s.	s.	PROPN
ajote-8309	347	16	c.	c.	PROPN
ajote-8309	347	17	(	(	PUNCT
ajote-8309	347	18	2015	2015	NUM
ajote-8309	347	19	)	)	PUNCT
ajote-8309	347	20	.	.	PUNCT
ajote-8309	348	1	self	self	NOUN
ajote-8309	348	2	-	-	PUNCT
ajote-8309	348	3	perceptions	perception	NOUN
ajote-8309	348	4	of	of	ADP
ajote-8309	348	5	pre	pre	ADJ
ajote-8309	348	6	-	-	ADJ
ajote-8309	348	7	service	service	ADJ
ajote-8309	348	8	mathematics	mathematic	NOUN
ajote-8309	348	9	teachers	teacher	NOUN
ajote-8309	348	10	completing	complete	VERB
ajote-8309	348	11	a	a	DET
ajote-8309	348	12	graduate	graduate	ADJ
ajote-8309	348	13	diploma	diploma	NOUN
ajote-8309	348	14	of	of	ADP
ajote-8309	348	15	secondary	secondary	ADJ
ajote-8309	348	16	education	education	NOUN
ajote-8309	348	17	.	.	PUNCT
ajote-8309	349	1	issues	issue	NOUN
ajote-8309	349	2	in	in	ADP
ajote-8309	349	3	educational	educational	ADJ
ajote-8309	349	4	research	research	NOUN
ajote-8309	349	5	,	,	PUNCT
ajote-8309	349	6	25(4	25(4	NOUN
ajote-8309	349	7	)	)	PUNCT
ajote-8309	349	8	,	,	PUNCT
ajote-8309	349	9	480–500	480–500	NUM
ajote-8309	349	10	.	.	PUNCT
ajote-8309	350	1	jacinto	jacinto	PROPN
ajote-8309	350	2	,	,	PUNCT
ajote-8309	350	3	e.	e.	PROPN
ajote-8309	350	4	l.	l.	PROPN
ajote-8309	350	5	(	(	PUNCT
ajote-8309	350	6	2020	2020	NUM
ajote-8309	350	7	)	)	PUNCT
ajote-8309	350	8	.	.	PUNCT
ajote-8309	351	1	the	the	DET
ajote-8309	351	2	development	development	NOUN
ajote-8309	351	3	of	of	ADP
ajote-8309	351	4	pre	pre	ADJ
ajote-8309	351	5	-	-	ADJ
ajote-8309	351	6	service	service	ADJ
ajote-8309	351	7	teachers	teacher	NOUN
ajote-8309	351	8	’	’	PART
ajote-8309	351	9	understanding	understanding	NOUN
ajote-8309	351	10	of	of	ADP
ajote-8309	351	11	the	the	DET
ajote-8309	351	12	knowledge	knowledge	NOUN
ajote-8309	351	13	necessary	necessary	ADJ
ajote-8309	351	14	to	to	PART
ajote-8309	351	15	teach	teach	VERB
ajote-8309	351	16	mathematics	mathematic	NOUN
ajote-8309	351	17	:	:	PUNCT
ajote-8309	351	18	a	a	DET
ajote-8309	351	19	case	case	NOUN
ajote-8309	351	20	study	study	NOUN
ajote-8309	351	21	in	in	ADP
ajote-8309	351	22	malawi	malawi	PROPN
ajote-8309	352	1	[	[	X
ajote-8309	352	2	doctoral	doctoral	ADJ
ajote-8309	352	3	dissertation	dissertation	NOUN
ajote-8309	352	4	,	,	PUNCT
ajote-8309	352	5	university	university	NOUN
ajote-8309	352	6	of	of	ADP
ajote-8309	352	7	stavanger	stavanger	PROPN
ajote-8309	352	8	]	]	PUNCT
ajote-8309	352	9	.	.	PUNCT
ajote-8309	353	1	uis	uis	PROPN
ajote-8309	353	2	scholarly	scholarly	ADJ
ajote-8309	353	3	publishing	publishing	NOUN
ajote-8309	353	4	services	service	NOUN
ajote-8309	353	5	.	.	PUNCT
ajote-8309	354	1	https://doi.org/10.31265/usps.66	https://doi.org/10.31265/usps.66	X
ajote-8309	354	2	jacinto	jacinto	PROPN
ajote-8309	354	3	,	,	PUNCT
ajote-8309	354	4	e.	e.	PROPN
ajote-8309	354	5	l.	l.	PROPN
ajote-8309	354	6	,	,	PUNCT
ajote-8309	354	7	&	&	CCONJ
ajote-8309	354	8	jakobsen	jakobsen	PROPN
ajote-8309	354	9	,	,	PUNCT
ajote-8309	354	10	a.	a.	NOUN
ajote-8309	354	11	(	(	PUNCT
ajote-8309	354	12	2020	2020	NUM
ajote-8309	354	13	)	)	PUNCT
ajote-8309	354	14	.	.	PUNCT
ajote-8309	355	1	mathematical	mathematical	ADJ
ajote-8309	355	2	knowledge	knowledge	NOUN
ajote-8309	355	3	for	for	ADP
ajote-8309	355	4	teaching	teaching	NOUN
ajote-8309	355	5	:	:	PUNCT
ajote-8309	355	6	how	how	SCONJ
ajote-8309	355	7	do	do	AUX
ajote-8309	355	8	primary	primary	ADJ
ajote-8309	355	9	pre	pre	ADJ
ajote-8309	355	10	-	-	ADJ
ajote-8309	355	11	service	service	ADJ
ajote-8309	355	12	teachers	teacher	NOUN
ajote-8309	355	13	in	in	ADP
ajote-8309	355	14	malawi	malawi	PROPN
ajote-8309	355	15	understand	understand	VERB
ajote-8309	355	16	it	it	PRON
ajote-8309	355	17	?	?	PUNCT
ajote-8309	356	1	african	african	ADJ
ajote-8309	356	2	journal	journal	NOUN
ajote-8309	356	3	of	of	ADP
ajote-8309	356	4	research	research	NOUN
ajote-8309	356	5	in	in	ADP
ajote-8309	356	6	mathematics	mathematic	NOUN
ajote-8309	356	7	,	,	PUNCT
ajote-8309	356	8	science	science	NOUN
ajote-8309	356	9	and	and	CCONJ
ajote-8309	356	10	technology	technology	NOUN
ajote-8309	356	11	education	education	NOUN
ajote-8309	356	12	,	,	PUNCT
ajote-8309	356	13	24(1	24(1	NUM
ajote-8309	356	14	)	)	PUNCT
ajote-8309	356	15	,	,	PUNCT
ajote-8309	356	16	31–40	31–40	NUM
ajote-8309	356	17	.	.	PUNCT
ajote-8309	357	1	https://doi.org/10.1080/18117295.2020.1735673	https://doi.org/10.1080/18117295.2020.1735673	PROPN
ajote-8309	357	2	jakobsen	jakobsen	PROPN
ajote-8309	357	3	,	,	PUNCT
ajote-8309	357	4	a.	a.	PROPN
ajote-8309	357	5	,	,	PUNCT
ajote-8309	357	6	kazima	kazima	PROPN
ajote-8309	357	7	,	,	PUNCT
ajote-8309	357	8	m.	m.	NOUN
ajote-8309	357	9	,	,	PUNCT
ajote-8309	357	10	&	&	CCONJ
ajote-8309	357	11	kasoka	kasoka	PROPN
ajote-8309	357	12	,	,	PUNCT
ajote-8309	357	13	d.	d.	PROPN
ajote-8309	357	14	n.	n.	PROPN
ajote-8309	357	15	(	(	PUNCT
ajote-8309	357	16	2018	2018	NUM
ajote-8309	357	17	)	)	PUNCT
ajote-8309	357	18	.	.	PUNCT
ajote-8309	358	1	assessing	assess	VERB
ajote-8309	358	2	prospective	prospective	ADJ
ajote-8309	358	3	teachers	teacher	NOUN
ajote-8309	358	4	’	'	PUNCT
ajote-8309	358	5	development	development	NOUN
ajote-8309	358	6	of	of	ADP
ajote-8309	358	7	mkt	mkt	PROPN
ajote-8309	358	8	through	through	ADP
ajote-8309	358	9	their	their	PRON
ajote-8309	358	10	teacher	teacher	NOUN
ajote-8309	358	11	education	education	NOUN
ajote-8309	358	12	:	:	PUNCT
ajote-8309	358	13	a	a	DET
ajote-8309	358	14	malawian	malawian	ADJ
ajote-8309	358	15	case	case	NOUN
ajote-8309	358	16	.	.	PUNCT
ajote-8309	359	1	in	in	ADP
ajote-8309	359	2	e.	e.	PROPN
ajote-8309	359	3	norén	norén	PROPN
ajote-8309	359	4	,	,	PUNCT
ajote-8309	359	5	https://doi.org/10.1080/0020739x.2018.1426793	https://doi.org/10.1080/0020739x.2018.1426793	PROPN
ajote-8309	359	6	https://doi.org/10.5951/jresematheduc.39.4.0372	https://doi.org/10.5951/jresematheduc.39.4.0372	PROPN
ajote-8309	359	7	https://doi.org/10.3102/00028312042002371	https://doi.org/10.3102/00028312042002371	X
ajote-8309	359	8	https://doi.org/10.1086/428763	https://doi.org/10.1086/428763	NOUN
ajote-8309	359	9	https://doi.org/10.31265/usps.66	https://doi.org/10.31265/usps.66	X
ajote-8309	359	10	https://doi.org/10.1080/18117295.2020.1735673	https://doi.org/10.1080/18117295.2020.1735673	PROPN
ajote-8309	359	11	everton	everton	PROPN
ajote-8309	359	12	jacinto	jacinto	PROPN
ajote-8309	359	13	,	,	PUNCT
ajote-8309	359	14	arne	arne	ADJ
ajote-8309	359	15	jakobsen	jakobsen	NOUN
ajote-8309	359	16	,	,	PUNCT
ajote-8309	359	17	raymond	raymond	PROPN
ajote-8309	359	18	bjuland	bjuland	PROPN
ajote-8309	359	19	ajote	ajote	PROPN
ajote-8309	359	20	vol.14	vol.14	NOUN
ajote-8309	359	21	no.2	no.2	PROPN
ajote-8309	359	22	(	(	PUNCT
ajote-8309	359	23	2025	2025	NUM
ajote-8309	359	24	)	)	PUNCT
ajote-8309	359	25	,	,	PUNCT
ajote-8309	359	26	92	92	NUM
ajote-8309	359	27	-	-	SYM
ajote-8309	359	28	116	116	NUM
ajote-8309	359	29	114	114	NUM
ajote-8309	359	30	h.	h.	PROPN
ajote-8309	359	31	palmér	palmér	PROPN
ajote-8309	359	32	,	,	PUNCT
ajote-8309	359	33	&	&	CCONJ
ajote-8309	359	34	a.	a.	PROPN
ajote-8309	359	35	cooke	cooke	PROPN
ajote-8309	359	36	(	(	PUNCT
ajote-8309	359	37	eds	eds	PROPN
ajote-8309	359	38	.	.	PUNCT
ajote-8309	359	39	)	)	PUNCT
ajote-8309	359	40	papers	paper	NOUN
ajote-8309	359	41	of	of	ADP
ajote-8309	359	42	norma	norma	PROPN
ajote-8309	359	43	17	17	NUM
ajote-8309	359	44	,	,	PUNCT
ajote-8309	359	45	the	the	DET
ajote-8309	359	46	eighth	eighth	ADJ
ajote-8309	359	47	nordic	nordic	ADJ
ajote-8309	359	48	conference	conference	NOUN
ajote-8309	359	49	on	on	ADP
ajote-8309	359	50	mathematics	mathematics	PROPN
ajote-8309	359	51	education	education	NOUN
ajote-8309	359	52	,	,	PUNCT
ajote-8309	359	53	stockholm	stockholm	PROPN
ajote-8309	359	54	,	,	PUNCT
ajote-8309	359	55	may	may	AUX
ajote-8309	359	56	30	30	NUM
ajote-8309	359	57	–	–	PUNCT
ajote-8309	359	58	june	june	PROPN
ajote-8309	359	59	2	2	NUM
ajote-8309	359	60	,	,	PUNCT
ajote-8309	359	61	2017	2017	NUM
ajote-8309	359	62	(	(	PUNCT
ajote-8309	359	63	pp	pp	ADJ
ajote-8309	359	64	.	.	PUNCT
ajote-8309	360	1	219–227	219–227	NUM
ajote-8309	360	2	)	)	PUNCT
ajote-8309	360	3	.	.	PUNCT
ajote-8309	361	1	swedish	swedish	ADJ
ajote-8309	361	2	society	society	PROPN
ajote-8309	361	3	for	for	ADP
ajote-8309	361	4	research	research	NOUN
ajote-8309	361	5	in	in	ADP
ajote-8309	361	6	mathematics	mathematic	NOUN
ajote-8309	361	7	education	education	NOUN
ajote-8309	361	8	.	.	PUNCT
ajote-8309	362	1	kang	kang	PROPN
ajote-8309	362	2	,	,	PUNCT
ajote-8309	362	3	h.	h.	PROPN
ajote-8309	362	4	(	(	PUNCT
ajote-8309	362	5	2016	2016	NUM
ajote-8309	362	6	)	)	PUNCT
ajote-8309	362	7	.	.	PUNCT
ajote-8309	363	1	preservice	preservice	NOUN
ajote-8309	363	2	teachers	teacher	NOUN
ajote-8309	363	3	’	'	PUNCT
ajote-8309	363	4	learning	learn	VERB
ajote-8309	363	5	to	to	PART
ajote-8309	363	6	plan	plan	VERB
ajote-8309	363	7	intellectually	intellectually	ADV
ajote-8309	363	8	challenging	challenging	ADJ
ajote-8309	363	9	tasks	task	NOUN
ajote-8309	363	10	.	.	PUNCT
ajote-8309	364	1	journal	journal	NOUN
ajote-8309	364	2	of	of	ADP
ajote-8309	364	3	teacher	teacher	NOUN
ajote-8309	364	4	education	education	NOUN
ajote-8309	364	5	,	,	PUNCT
ajote-8309	364	6	68(1	68(1	NOUN
ajote-8309	364	7	)	)	PUNCT
ajote-8309	364	8	,	,	PUNCT
ajote-8309	364	9	55–68	55–68	NUM
ajote-8309	364	10	.	.	PUNCT
ajote-8309	365	1	https://doi.org/10.1177/0022487116676313	https://doi.org/10.1177/0022487116676313	PROPN
ajote-8309	365	2	kazima	kazima	PROPN
ajote-8309	365	3	,	,	PUNCT
ajote-8309	365	4	m.	m.	NOUN
ajote-8309	365	5	(	(	PUNCT
ajote-8309	365	6	2014	2014	NUM
ajote-8309	365	7	)	)	PUNCT
ajote-8309	365	8	.	.	PUNCT
ajote-8309	366	1	universal	universal	ADJ
ajote-8309	366	2	basic	basic	ADJ
ajote-8309	366	3	education	education	NOUN
ajote-8309	366	4	and	and	CCONJ
ajote-8309	366	5	the	the	DET
ajote-8309	366	6	provision	provision	NOUN
ajote-8309	366	7	of	of	ADP
ajote-8309	366	8	quality	quality	NOUN
ajote-8309	366	9	mathematics	mathematic	NOUN
ajote-8309	366	10	in	in	ADP
ajote-8309	366	11	southern	southern	PROPN
ajote-8309	366	12	africa	africa	PROPN
ajote-8309	366	13	.	.	PUNCT
ajote-8309	367	1	international	international	ADJ
ajote-8309	367	2	journal	journal	PROPN
ajote-8309	367	3	of	of	ADP
ajote-8309	367	4	science	science	NOUN
ajote-8309	367	5	and	and	CCONJ
ajote-8309	367	6	mathematics	mathematic	NOUN
ajote-8309	367	7	education	education	NOUN
ajote-8309	367	8	,	,	PUNCT
ajote-8309	367	9	12	12	NUM
ajote-8309	367	10	,	,	PUNCT
ajote-8309	367	11	841–858	841–858	NUM
ajote-8309	367	12	.	.	PUNCT
ajote-8309	368	1	https://doi.org/10.1007/s10763-013-9434-8	https://doi.org/10.1007/s10763-013-9434-8	NUM
ajote-8309	368	2	könig	könig	PROPN
ajote-8309	368	3	,	,	PUNCT
ajote-8309	368	4	j.	j.	PROPN
ajote-8309	368	5	,	,	PUNCT
ajote-8309	368	6	bremerich	bremerich	NOUN
ajote-8309	368	7	-	-	PUNCT
ajote-8309	368	8	vos	vos	PROPN
ajote-8309	368	9	,	,	PUNCT
ajote-8309	368	10	a.	a.	NOUN
ajote-8309	368	11	,	,	PUNCT
ajote-8309	368	12	buchholtz	buchholtz	PROPN
ajote-8309	368	13	,	,	PUNCT
ajote-8309	368	14	c.	c.	PROPN
ajote-8309	368	15	,	,	PUNCT
ajote-8309	368	16	&	&	CCONJ
ajote-8309	368	17	glutsch	glutsch	PROPN
ajote-8309	368	18	,	,	PUNCT
ajote-8309	368	19	n.	n.	PROPN
ajote-8309	368	20	(	(	PUNCT
ajote-8309	368	21	2020	2020	NUM
ajote-8309	368	22	)	)	PUNCT
ajote-8309	368	23	.	.	PUNCT
ajote-8309	369	1	general	general	ADJ
ajote-8309	369	2	pedagogical	pedagogical	ADJ
ajote-8309	369	3	knowledge	knowledge	NOUN
ajote-8309	369	4	,	,	PUNCT
ajote-8309	369	5	pedagogical	pedagogical	ADJ
ajote-8309	369	6	adaptivity	adaptivity	NOUN
ajote-8309	369	7	in	in	ADP
ajote-8309	369	8	written	write	VERB
ajote-8309	369	9	lesson	lesson	NOUN
ajote-8309	369	10	plans	plan	NOUN
ajote-8309	369	11	,	,	PUNCT
ajote-8309	369	12	and	and	CCONJ
ajote-8309	369	13	instructional	instructional	ADJ
ajote-8309	369	14	practice	practice	NOUN
ajote-8309	369	15	among	among	ADP
ajote-8309	369	16	preservice	preservice	NOUN
ajote-8309	369	17	teachers	teacher	NOUN
ajote-8309	369	18	.	.	PUNCT
ajote-8309	370	1	journal	journal	PROPN
ajote-8309	370	2	of	of	ADP
ajote-8309	370	3	curriculum	curriculum	NOUN
ajote-8309	370	4	studies	study	NOUN
ajote-8309	370	5	,	,	PUNCT
ajote-8309	370	6	52(6	52(6	NOUN
ajote-8309	370	7	)	)	PUNCT
ajote-8309	370	8	,	,	PUNCT
ajote-8309	370	9	800–822	800–822	NUM
ajote-8309	370	10	.	.	PUNCT
ajote-8309	371	1	https://doi.org/10.1080/00220272.2020.1752804	https://doi.org/10.1080/00220272.2020.1752804	PROPN
ajote-8309	371	2	lai	lai	PROPN
ajote-8309	371	3	,	,	PUNCT
ajote-8309	371	4	m.	m.	NOUN
ajote-8309	371	5	y.	y.	PROPN
ajote-8309	371	6	,	,	PUNCT
ajote-8309	371	7	&	&	CCONJ
ajote-8309	371	8	clark	clark	PROPN
ajote-8309	371	9	,	,	PUNCT
ajote-8309	371	10	j.	j.	PROPN
ajote-8309	371	11	(	(	PUNCT
ajote-8309	371	12	2018	2018	NUM
ajote-8309	371	13	)	)	PUNCT
ajote-8309	371	14	.	.	PUNCT
ajote-8309	372	1	extending	extend	VERB
ajote-8309	372	2	the	the	DET
ajote-8309	372	3	notion	notion	NOUN
ajote-8309	372	4	of	of	ADP
ajote-8309	372	5	specialized	specialized	ADJ
ajote-8309	372	6	content	content	NOUN
ajote-8309	372	7	knowledge	knowledge	NOUN
ajote-8309	372	8	:	:	PUNCT
ajote-8309	372	9	proposing	propose	VERB
ajote-8309	372	10	constructs	construct	NOUN
ajote-8309	372	11	for	for	ADP
ajote-8309	372	12	sck	sck	PROPN
ajote-8309	372	13	.	.	PUNCT
ajote-8309	373	1	mathematics	mathematics	PROPN
ajote-8309	373	2	teacher	teacher	NOUN
ajote-8309	373	3	education	education	NOUN
ajote-8309	373	4	and	and	CCONJ
ajote-8309	373	5	development	development	NOUN
ajote-8309	373	6	,	,	PUNCT
ajote-8309	373	7	20(2	20(2	NUM
ajote-8309	373	8	)	)	PUNCT
ajote-8309	373	9	,	,	PUNCT
ajote-8309	373	10	75–95	75–95	NUM
ajote-8309	373	11	.	.	PUNCT
ajote-8309	374	1	malawian	malawian	PROPN
ajote-8309	374	2	institute	institute	PROPN
ajote-8309	374	3	of	of	ADP
ajote-8309	374	4	education	education	PROPN
ajote-8309	374	5	.	.	PUNCT
ajote-8309	375	1	(	(	PUNCT
ajote-8309	375	2	2017	2017	NUM
ajote-8309	375	3	)	)	PUNCT
ajote-8309	375	4	.	.	PUNCT
ajote-8309	376	1	syllabus	syllabus	PROPN
ajote-8309	376	2	for	for	ADP
ajote-8309	376	3	initial	initial	ADJ
ajote-8309	376	4	primary	primary	ADJ
ajote-8309	376	5	teacher	teacher	NOUN
ajote-8309	376	6	education	education	NOUN
ajote-8309	376	7	:	:	PUNCT
ajote-8309	377	1	mathematics	mathematic	NOUN
ajote-8309	377	2	.	.	PUNCT
ajote-8309	378	1	ministry	ministry	PROPN
ajote-8309	378	2	of	of	ADP
ajote-8309	378	3	education	education	PROPN
ajote-8309	378	4	,	,	PUNCT
ajote-8309	378	5	science	science	NOUN
ajote-8309	378	6	and	and	CCONJ
ajote-8309	378	7	technology	technology	NOUN
ajote-8309	378	8	.	.	PUNCT
ajote-8309	379	1	malawian	malawian	PROPN
ajote-8309	379	2	institute	institute	PROPN
ajote-8309	379	3	of	of	ADP
ajote-8309	379	4	education	education	PROPN
ajote-8309	379	5	(	(	PUNCT
ajote-8309	379	6	2007	2007	NUM
ajote-8309	379	7	)	)	PUNCT
ajote-8309	379	8	.	.	PUNCT
ajote-8309	380	1	numeracy	numeracy	NOUN
ajote-8309	380	2	and	and	CCONJ
ajote-8309	380	3	mathematics	mathematics	NOUN
ajote-8309	380	4	teachers	teacher	NOUN
ajote-8309	380	5	’	'	PUNCT
ajote-8309	380	6	guide	guide	NOUN
ajote-8309	380	7	for	for	ADP
ajote-8309	380	8	standard	standard	NOUN
ajote-8309	380	9	for	for	ADP
ajote-8309	380	10	2	2	NUM
ajote-8309	380	11	.	.	PUNCT
ajote-8309	380	12	domasi	domasi	NOUN
ajote-8309	380	13	:	:	PUNCT
ajote-8309	380	14	ministry	ministry	PROPN
ajote-8309	380	15	of	of	ADP
ajote-8309	380	16	education	education	PROPN
ajote-8309	380	17	,	,	PUNCT
ajote-8309	380	18	science	science	NOUN
ajote-8309	380	19	and	and	CCONJ
ajote-8309	380	20	technology	technology	NOUN
ajote-8309	380	21	.	.	PUNCT
ajote-8309	381	1	mallart	mallart	PROPN
ajote-8309	381	2	,	,	PUNCT
ajote-8309	381	3	a.	a.	NOUN
ajote-8309	381	4	,	,	PUNCT
ajote-8309	381	5	font	font	NOUN
ajote-8309	381	6	,	,	PUNCT
ajote-8309	381	7	v.	v.	PROPN
ajote-8309	381	8	,	,	PUNCT
ajote-8309	381	9	&	&	CCONJ
ajote-8309	381	10	diez	diez	PROPN
ajote-8309	381	11	,	,	PUNCT
ajote-8309	381	12	j.	j.	PROPN
ajote-8309	381	13	(	(	PUNCT
ajote-8309	381	14	2018	2018	NUM
ajote-8309	381	15	)	)	PUNCT
ajote-8309	381	16	.	.	PUNCT
ajote-8309	382	1	case	case	NOUN
ajote-8309	382	2	study	study	NOUN
ajote-8309	382	3	on	on	ADP
ajote-8309	382	4	mathematics	mathematic	NOUN
ajote-8309	382	5	pre	pre	ADJ
ajote-8309	382	6	-	-	ADJ
ajote-8309	382	7	service	service	ADJ
ajote-8309	382	8	teachers	teacher	NOUN
ajote-8309	382	9	’	’	PART
ajote-8309	382	10	difficulties	difficulty	NOUN
ajote-8309	382	11	in	in	ADP
ajote-8309	382	12	problem	problem	NOUN
ajote-8309	382	13	posing	pose	VERB
ajote-8309	382	14	.	.	PUNCT
ajote-8309	383	1	eurasia	eurasia	PROPN
ajote-8309	383	2	journal	journal	PROPN
ajote-8309	383	3	of	of	ADP
ajote-8309	383	4	mathematics	mathematics	PROPN
ajote-8309	383	5	,	,	PUNCT
ajote-8309	383	6	science	science	NOUN
ajote-8309	383	7	and	and	CCONJ
ajote-8309	383	8	technology	technology	NOUN
ajote-8309	383	9	education	education	NOUN
ajote-8309	383	10	,	,	PUNCT
ajote-8309	383	11	14(4	14(4	NUM
ajote-8309	383	12	)	)	PUNCT
ajote-8309	383	13	,	,	PUNCT
ajote-8309	383	14	1465–1481	1465–1481	NUM
ajote-8309	383	15	.	.	PUNCT
ajote-8309	384	1	https://doi.org/10.29333/ejmste/83682	https://doi.org/10.29333/ejmste/83682	PROPN
ajote-8309	384	2	meikle	meikle	PROPN
ajote-8309	384	3	,	,	PUNCT
ajote-8309	384	4	e.	e.	PROPN
ajote-8309	384	5	(	(	PUNCT
ajote-8309	384	6	2014	2014	NUM
ajote-8309	384	7	)	)	PUNCT
ajote-8309	384	8	.	.	PUNCT
ajote-8309	385	1	preservice	preservice	NOUN
ajote-8309	385	2	teachers	teacher	NOUN
ajote-8309	385	3	’	'	PUNCT
ajote-8309	385	4	competencies	competency	NOUN
ajote-8309	385	5	to	to	PART
ajote-8309	385	6	select	select	VERB
ajote-8309	385	7	and	and	CCONJ
ajote-8309	385	8	sequence	sequence	NOUN
ajote-8309	385	9	students	student	NOUN
ajote-8309	385	10	’	'	PUNCT
ajote-8309	385	11	solution	solution	NOUN
ajote-8309	385	12	strategies	strategy	NOUN
ajote-8309	385	13	for	for	ADP
ajote-8309	385	14	productive	productive	ADJ
ajote-8309	385	15	whole	whole	ADJ
ajote-8309	385	16	-	-	PUNCT
ajote-8309	385	17	class	class	NOUN
ajote-8309	385	18	discussions	discussion	NOUN
ajote-8309	385	19	.	.	PUNCT
ajote-8309	386	1	mathematics	mathematic	NOUN
ajote-8309	386	2	teacher	teacher	NOUN
ajote-8309	386	3	educator	educator	NOUN
ajote-8309	386	4	,	,	PUNCT
ajote-8309	386	5	3(1	3(1	NUM
ajote-8309	386	6	)	)	PUNCT
ajote-8309	386	7	,	,	PUNCT
ajote-8309	386	8	27–57	27–57	NUM
ajote-8309	386	9	.	.	PUNCT
ajote-8309	387	1	https://doi.org/10.5951/mathteaceduc.3.1.0027	https://doi.org/10.5951/mathteaceduc.3.1.0027	PROPN
ajote-8309	387	2	mwadzaangati	mwadzaangati	PROPN
ajote-8309	387	3	,	,	PUNCT
ajote-8309	387	4	l.	l.	PROPN
ajote-8309	387	5	(	(	PUNCT
ajote-8309	387	6	2019	2019	NUM
ajote-8309	387	7	)	)	PUNCT
ajote-8309	387	8	.	.	PUNCT
ajote-8309	388	1	comparison	comparison	NOUN
ajote-8309	388	2	of	of	ADP
ajote-8309	388	3	geometric	geometric	ADJ
ajote-8309	388	4	proof	proof	NOUN
ajote-8309	388	5	development	development	NOUN
ajote-8309	388	6	tasks	task	NOUN
ajote-8309	388	7	as	as	SCONJ
ajote-8309	388	8	set	set	VERB
ajote-8309	388	9	up	up	ADP
ajote-8309	388	10	in	in	ADP
ajote-8309	388	11	the	the	DET
ajote-8309	388	12	textbook	textbook	NOUN
ajote-8309	388	13	and	and	CCONJ
ajote-8309	388	14	as	as	SCONJ
ajote-8309	388	15	implemented	implement	VERB
ajote-8309	388	16	by	by	ADP
ajote-8309	388	17	teachers	teacher	NOUN
ajote-8309	388	18	in	in	ADP
ajote-8309	388	19	the	the	DET
ajote-8309	388	20	classroom	classroom	NOUN
ajote-8309	388	21	.	.	PUNCT
ajote-8309	389	1	pythagoras	pythagoras	PROPN
ajote-8309	389	2	,	,	PUNCT
ajote-8309	389	3	40(1	40(1	NOUN
ajote-8309	389	4	)	)	PUNCT
ajote-8309	389	5	,	,	PUNCT
ajote-8309	389	6	article	article	NOUN
ajote-8309	389	7	a458	a458	PROPN
ajote-8309	389	8	.	.	PUNCT
ajote-8309	390	1	https://doi.org/10.4102/pythagoras.v40i1.458	https://doi.org/10.4102/pythagoras.v40i1.458	PROPN
ajote-8309	390	2	https://doi.org/10.1177/0022487116676313	https://doi.org/10.1177/0022487116676313	NOUN
ajote-8309	390	3	https://doi.org/10.1007/s10763-013-9434-8	https://doi.org/10.1007/s10763-013-9434-8	NUM
ajote-8309	390	4	https://doi.org/10.1080/00220272.2020.1752804	https://doi.org/10.1080/00220272.2020.1752804	PROPN
ajote-8309	390	5	https://doi.org/10.29333/ejmste/83682	https://doi.org/10.29333/ejmste/83682	PROPN
ajote-8309	390	6	https://doi.org/10.5951/mathteaceduc.3.1.0027	https://doi.org/10.5951/mathteaceduc.3.1.0027	PROPN
ajote-8309	390	7	https://doi.org/10.4102/pythagoras.v40i1.458	https://doi.org/10.4102/pythagoras.v40i1.458	PROPN
ajote-8309	390	8	tracing	trace	VERB
ajote-8309	390	9	pre	pre	ADJ
ajote-8309	390	10	-	-	ADJ
ajote-8309	390	11	service	service	ADJ
ajote-8309	390	12	teachers	teacher	NOUN
ajote-8309	390	13	’	’	PART
ajote-8309	390	14	understanding	understanding	NOUN
ajote-8309	390	15	of	of	ADP
ajote-8309	390	16	specialized	specialized	ADJ
ajote-8309	390	17	content	content	NOUN
ajote-8309	390	18	knowledge	knowledge	NOUN
ajote-8309	390	19	for	for	ADP
ajote-8309	390	20	sequencing	sequence	VERB
ajote-8309	390	21	and	and	CCONJ
ajote-8309	390	22	structuring	structure	VERB
ajote-8309	390	23	mathematics	mathematic	NOUN
ajote-8309	390	24	learning	learn	VERB
ajote-8309	390	25	in	in	ADP
ajote-8309	390	26	low	low	ADJ
ajote-8309	390	27	-	-	PUNCT
ajote-8309	390	28	resource	resource	NOUN
ajote-8309	390	29	malawi	malawi	PROPN
ajote-8309	390	30	classrooms	classroom	NOUN
ajote-8309	390	31	ajote	ajote	VERB
ajote-8309	390	32	vol.14	vol.14	NOUN
ajote-8309	390	33	no.2	no.2	PROPN
ajote-8309	390	34	(	(	PUNCT
ajote-8309	390	35	2025	2025	NUM
ajote-8309	390	36	)	)	PUNCT
ajote-8309	390	37	,	,	PUNCT
ajote-8309	390	38	92	92	NUM
ajote-8309	390	39	-	-	SYM
ajote-8309	390	40	116	116	NUM
ajote-8309	390	41	115	115	NUM
ajote-8309	390	42	philipp	philipp	PROPN
ajote-8309	390	43	,	,	PUNCT
ajote-8309	390	44	r.	r.	PROPN
ajote-8309	390	45	a.	a.	PROPN
ajote-8309	390	46	,	,	PUNCT
ajote-8309	390	47	ambrose	ambrose	PROPN
ajote-8309	390	48	,	,	PUNCT
ajote-8309	390	49	r.	r.	PROPN
ajote-8309	390	50	,	,	PUNCT
ajote-8309	390	51	lamb	lamb	PROPN
ajote-8309	390	52	,	,	PUNCT
ajote-8309	390	53	l.	l.	PROPN
ajote-8309	390	54	c.	c.	PROPN
ajote-8309	390	55	,	,	PUNCT
ajote-8309	390	56	sowder	sowder	NOUN
ajote-8309	390	57	,	,	PUNCT
ajote-8309	390	58	j.	j.	PROPN
ajote-8309	390	59	t.	t.	PROPN
ajote-8309	390	60	,	,	PUNCT
ajote-8309	390	61	schappelle	schappelle	NOUN
ajote-8309	390	62	,	,	PUNCT
ajote-8309	390	63	b.	b.	PROPN
ajote-8309	390	64	p.	p.	PROPN
ajote-8309	390	65	,	,	PUNCT
ajote-8309	390	66	&	&	CCONJ
ajote-8309	390	67	sowder	sowder	NOUN
ajote-8309	390	68	,	,	PUNCT
ajote-8309	390	69	l.	l.	PROPN
ajote-8309	390	70	(	(	PUNCT
ajote-8309	390	71	2007	2007	NUM
ajote-8309	390	72	)	)	PUNCT
ajote-8309	390	73	.	.	PUNCT
ajote-8309	391	1	effects	effect	NOUN
ajote-8309	391	2	of	of	ADP
ajote-8309	391	3	early	early	ADJ
ajote-8309	391	4	field	field	NOUN
ajote-8309	391	5	experiences	experience	NOUN
ajote-8309	391	6	on	on	ADP
ajote-8309	391	7	the	the	DET
ajote-8309	391	8	mathematical	mathematical	ADJ
ajote-8309	391	9	content	content	NOUN
ajote-8309	391	10	knowledge	knowledge	NOUN
ajote-8309	391	11	and	and	CCONJ
ajote-8309	391	12	beliefs	belief	NOUN
ajote-8309	391	13	of	of	ADP
ajote-8309	391	14	prospective	prospective	ADJ
ajote-8309	391	15	elementary	elementary	ADJ
ajote-8309	391	16	school	school	NOUN
ajote-8309	391	17	teachers	teacher	NOUN
ajote-8309	391	18	:	:	PUNCT
ajote-8309	391	19	an	an	DET
ajote-8309	391	20	experimental	experimental	ADJ
ajote-8309	391	21	study	study	NOUN
ajote-8309	391	22	.	.	PUNCT
ajote-8309	392	1	journal	journal	PROPN
ajote-8309	392	2	for	for	ADP
ajote-8309	392	3	research	research	NOUN
ajote-8309	392	4	in	in	ADP
ajote-8309	392	5	mathematics	mathematics	PROPN
ajote-8309	392	6	education	education	NOUN
ajote-8309	392	7	,	,	PUNCT
ajote-8309	392	8	38	38	NUM
ajote-8309	392	9	,	,	PUNCT
ajote-8309	392	10	438–476	438–476	NUM
ajote-8309	392	11	.	.	PUNCT
ajote-8309	393	1	https://doi.org/10.2307/30034961	https://doi.org/10.2307/30034961	PROPN
ajote-8309	393	2	rivas	rivas	PROPN
ajote-8309	393	3	,	,	PUNCT
ajote-8309	393	4	m.	m.	NOUN
ajote-8309	393	5	,	,	PUNCT
ajote-8309	393	6	godino	godino	PROPN
ajote-8309	393	7	,	,	PUNCT
ajote-8309	393	8	j.	j.	PROPN
ajote-8309	393	9	d.	d.	PROPN
ajote-8309	393	10	,	,	PUNCT
ajote-8309	393	11	&	&	CCONJ
ajote-8309	393	12	castro	castro	PROPN
ajote-8309	393	13	,	,	PUNCT
ajote-8309	393	14	w.	w.	PROPN
ajote-8309	393	15	(	(	PUNCT
ajote-8309	393	16	2012	2012	NUM
ajote-8309	393	17	)	)	PUNCT
ajote-8309	393	18	.	.	PUNCT
ajote-8309	394	1	development	development	NOUN
ajote-8309	394	2	of	of	ADP
ajote-8309	394	3	knowledge	knowledge	NOUN
ajote-8309	394	4	for	for	ADP
ajote-8309	394	5	teaching	teach	VERB
ajote-8309	394	6	proportionality	proportionality	NOUN
ajote-8309	394	7	in	in	ADP
ajote-8309	394	8	prospective	prospective	ADJ
ajote-8309	394	9	elementary	elementary	ADJ
ajote-8309	394	10	teachers	teachers	PROPN
ajote-8309	394	11	.	.	PUNCT
ajote-8309	395	1	bolema	bolema	PROPN
ajote-8309	395	2	,	,	PUNCT
ajote-8309	395	3	26(42b	26(42b	NUM
ajote-8309	395	4	)	)	PUNCT
ajote-8309	395	5	,	,	PUNCT
ajote-8309	395	6	559–588	559–588	NUM
ajote-8309	395	7	.	.	X
ajote-8309	396	1	https://doi.org/10.1590/s0103-636x2012000200008	https://doi.org/10.1590/s0103-636x2012000200008	PROPN
ajote-8309	396	2	rowland	rowland	NOUN
ajote-8309	396	3	,	,	PUNCT
ajote-8309	396	4	t.	t.	PROPN
ajote-8309	396	5	,	,	PUNCT
ajote-8309	396	6	turner	turner	PROPN
ajote-8309	396	7	,	,	PUNCT
ajote-8309	396	8	f.	f.	PROPN
ajote-8309	396	9	,	,	PUNCT
ajote-8309	396	10	thwaites	thwaite	NOUN
ajote-8309	396	11	,	,	PUNCT
ajote-8309	396	12	a.	a.	NOUN
ajote-8309	396	13	,	,	PUNCT
ajote-8309	396	14	&	&	CCONJ
ajote-8309	396	15	huckstep	huckstep	PROPN
ajote-8309	396	16	,	,	PUNCT
ajote-8309	396	17	p.	p.	NOUN
ajote-8309	396	18	(	(	PUNCT
ajote-8309	396	19	2005	2005	NUM
ajote-8309	396	20	)	)	PUNCT
ajote-8309	396	21	.	.	PUNCT
ajote-8309	397	1	developing	develop	VERB
ajote-8309	397	2	primary	primary	ADJ
ajote-8309	397	3	mathematics	mathematic	NOUN
ajote-8309	397	4	teaching	teaching	NOUN
ajote-8309	397	5	:	:	PUNCT
ajote-8309	397	6	reflecting	reflect	VERB
ajote-8309	397	7	on	on	ADP
ajote-8309	397	8	practice	practice	NOUN
ajote-8309	397	9	with	with	ADP
ajote-8309	397	10	the	the	DET
ajote-8309	397	11	knowledge	knowledge	NOUN
ajote-8309	397	12	quartet	quartet	NOUN
ajote-8309	397	13	.	.	PUNCT
ajote-8309	398	1	sage	sage	NOUN
ajote-8309	398	2	.	.	PUNCT
ajote-8309	399	1	sazama	sazama	PROPN
ajote-8309	399	2	,	,	PUNCT
ajote-8309	399	3	d.	d.	PROPN
ajote-8309	399	4	s.	s.	PROPN
ajote-8309	399	5	(	(	PUNCT
ajote-8309	399	6	2017	2017	NUM
ajote-8309	399	7	)	)	PUNCT
ajote-8309	399	8	.	.	PUNCT
ajote-8309	400	1	the	the	DET
ajote-8309	400	2	impact	impact	NOUN
ajote-8309	400	3	of	of	ADP
ajote-8309	400	4	content	content	ADJ
ajote-8309	400	5	knowledge	knowledge	NOUN
ajote-8309	400	6	,	,	PUNCT
ajote-8309	400	7	specialized	specialized	ADJ
ajote-8309	400	8	content	content	NOUN
ajote-8309	400	9	knowledge	knowledge	NOUN
ajote-8309	400	10	,	,	PUNCT
ajote-8309	400	11	peer	peer	VERB
ajote-8309	400	12	analysis	analysis	NOUN
ajote-8309	400	13	and	and	CCONJ
ajote-8309	400	14	self	self	NOUN
ajote-8309	400	15	-	-	PUNCT
ajote-8309	400	16	analysis	analysis	NOUN
ajote-8309	400	17	on	on	ADP
ajote-8309	400	18	pre	pre	ADJ
ajote-8309	400	19	-	-	ADJ
ajote-8309	400	20	service	service	ADJ
ajote-8309	400	21	physical	physical	ADJ
ajote-8309	400	22	education	education	NOUN
ajote-8309	400	23	teachers	teacher	NOUN
ajote-8309	400	24	’	'	PUNCT
ajote-8309	400	25	error	error	NOUN
ajote-8309	400	26	detection	detection	NOUN
ajote-8309	400	27	abilities	ability	NOUN
ajote-8309	400	28	(	(	PUNCT
ajote-8309	400	29	master	master	NOUN
ajote-8309	400	30	’s	’s	PART
ajote-8309	400	31	thesis	thesis	NOUN
ajote-8309	400	32	,	,	PUNCT
ajote-8309	400	33	university	university	NOUN
ajote-8309	400	34	of	of	ADP
ajote-8309	400	35	northern	northern	PROPN
ajote-8309	400	36	iowa	iowa	PROPN
ajote-8309	400	37	)	)	PUNCT
ajote-8309	400	38	.	.	PUNCT
ajote-8309	401	1	electronic	electronic	ADJ
ajote-8309	401	2	theses	thesis	NOUN
ajote-8309	401	3	and	and	CCONJ
ajote-8309	401	4	dissertations	dissertation	NOUN
ajote-8309	401	5	,	,	PUNCT
ajote-8309	401	6	421	421	NUM
ajote-8309	401	7	.	.	PUNCT
ajote-8309	402	1	https://scholarworks.uni.edu/etd/421	https://scholarworks.uni.edu/etd/421	PROPN
ajote-8309	402	2	shulman	shulman	PROPN
ajote-8309	402	3	,	,	PUNCT
ajote-8309	402	4	l.	l.	PROPN
ajote-8309	402	5	s.	s.	PROPN
ajote-8309	402	6	(	(	PUNCT
ajote-8309	402	7	1986	1986	NUM
ajote-8309	402	8	)	)	PUNCT
ajote-8309	402	9	.	.	PUNCT
ajote-8309	403	1	those	those	PRON
ajote-8309	403	2	who	who	PRON
ajote-8309	403	3	understand	understand	VERB
ajote-8309	403	4	:	:	PUNCT
ajote-8309	403	5	knowledge	knowledge	NOUN
ajote-8309	403	6	growth	growth	NOUN
ajote-8309	403	7	in	in	ADP
ajote-8309	403	8	teaching	teach	VERB
ajote-8309	403	9	.	.	PUNCT
ajote-8309	404	1	educational	educational	ADJ
ajote-8309	404	2	researcher	researcher	NOUN
ajote-8309	404	3	,	,	PUNCT
ajote-8309	404	4	15(4	15(4	NUM
ajote-8309	404	5	)	)	PUNCT
ajote-8309	404	6	,	,	PUNCT
ajote-8309	404	7	4–14	4–14	PROPN
ajote-8309	404	8	.	.	PUNCT
ajote-8309	405	1	https://doi.org/10.3102/0013189x015002004	https://doi.org/10.3102/0013189x015002004	PROPN
ajote-8309	405	2	simon	simon	PROPN
ajote-8309	405	3	,	,	PUNCT
ajote-8309	405	4	m.	m.	NOUN
ajote-8309	405	5	a.	a.	PROPN
ajote-8309	405	6	(	(	PUNCT
ajote-8309	405	7	2016	2016	NUM
ajote-8309	405	8	)	)	PUNCT
ajote-8309	405	9	.	.	PUNCT
ajote-8309	406	1	an	an	DET
ajote-8309	406	2	approach	approach	NOUN
ajote-8309	406	3	to	to	ADP
ajote-8309	406	4	the	the	DET
ajote-8309	406	5	design	design	NOUN
ajote-8309	406	6	of	of	ADP
ajote-8309	406	7	mathematical	mathematical	ADJ
ajote-8309	406	8	task	task	NOUN
ajote-8309	406	9	sequences	sequence	NOUN
ajote-8309	406	10	:	:	PUNCT
ajote-8309	406	11	conceptual	conceptual	ADJ
ajote-8309	406	12	learning	learning	NOUN
ajote-8309	406	13	as	as	ADP
ajote-8309	406	14	abstraction	abstraction	NOUN
ajote-8309	406	15	.	.	PUNCT
ajote-8309	407	1	pna	pna	PROPN
ajote-8309	407	2	,	,	PUNCT
ajote-8309	407	3	10(4	10(4	NUM
ajote-8309	407	4	)	)	PUNCT
ajote-8309	407	5	,	,	PUNCT
ajote-8309	407	6	270–279	270–279	NUM
ajote-8309	407	7	.	.	PUNCT
ajote-8309	408	1	https://doi.org/10.30827/pna.v10i4.6083	https://doi.org/10.30827/pna.v10i4.6083	PROPN
ajote-8309	408	2	sjöberg	sjöberg	PROPN
ajote-8309	408	3	,	,	PUNCT
ajote-8309	408	4	l.	l.	PROPN
ajote-8309	408	5	(	(	PUNCT
ajote-8309	408	6	2018	2018	NUM
ajote-8309	408	7	)	)	PUNCT
ajote-8309	408	8	.	.	PUNCT
ajote-8309	409	1	the	the	DET
ajote-8309	409	2	shaping	shaping	NOUN
ajote-8309	409	3	of	of	ADP
ajote-8309	409	4	pre	pre	ADJ
ajote-8309	409	5	-	-	ADJ
ajote-8309	409	6	service	service	ADJ
ajote-8309	409	7	teachers	teacher	NOUN
ajote-8309	409	8	’	'	PUNCT
ajote-8309	409	9	professional	professional	ADJ
ajote-8309	409	10	knowledge	knowledge	NOUN
ajote-8309	409	11	base	base	NOUN
ajote-8309	409	12	through	through	ADP
ajote-8309	409	13	assessments	assessment	NOUN
ajote-8309	409	14	.	.	PUNCT
ajote-8309	410	1	european	european	ADJ
ajote-8309	410	2	journal	journal	PROPN
ajote-8309	410	3	of	of	ADP
ajote-8309	410	4	teacher	teacher	NOUN
ajote-8309	410	5	education	education	NOUN
ajote-8309	410	6	,	,	PUNCT
ajote-8309	410	7	41(5	41(5	NUM
ajote-8309	410	8	)	)	PUNCT
ajote-8309	410	9	,	,	PUNCT
ajote-8309	410	10	604–619	604–619	NUM
ajote-8309	410	11	.	.	PUNCT
ajote-8309	411	1	https://doi.org/10.1080/02619768.2018.1529751	https://doi.org/10.1080/02619768.2018.1529751	PROPN
ajote-8309	411	2	star	star	NOUN
ajote-8309	411	3	,	,	PUNCT
ajote-8309	411	4	j.	j.	PROPN
ajote-8309	411	5	r.	r.	PROPN
ajote-8309	411	6	,	,	PUNCT
ajote-8309	411	7	&	&	CCONJ
ajote-8309	411	8	strickland	strickland	PROPN
ajote-8309	411	9	,	,	PUNCT
ajote-8309	411	10	s.	s.	PROPN
ajote-8309	411	11	k.	k.	PROPN
ajote-8309	411	12	(	(	PUNCT
ajote-8309	411	13	2008	2008	NUM
ajote-8309	411	14	)	)	PUNCT
ajote-8309	411	15	.	.	PUNCT
ajote-8309	412	1	learning	learn	VERB
ajote-8309	412	2	to	to	PART
ajote-8309	412	3	observe	observe	VERB
ajote-8309	412	4	:	:	PUNCT
ajote-8309	412	5	using	use	VERB
ajote-8309	412	6	video	video	NOUN
ajote-8309	412	7	to	to	PART
ajote-8309	412	8	improve	improve	VERB
ajote-8309	412	9	preservice	preservice	NOUN
ajote-8309	412	10	mathematics	mathematic	NOUN
ajote-8309	412	11	teachers	teacher	NOUN
ajote-8309	412	12	’	’	PART
ajote-8309	412	13	ability	ability	NOUN
ajote-8309	412	14	to	to	PART
ajote-8309	412	15	notice	notice	VERB
ajote-8309	412	16	.	.	PUNCT
ajote-8309	413	1	journal	journal	PROPN
ajote-8309	413	2	of	of	ADP
ajote-8309	413	3	mathematics	mathematics	PROPN
ajote-8309	413	4	teacher	teacher	NOUN
ajote-8309	413	5	education	education	NOUN
ajote-8309	413	6	,	,	PUNCT
ajote-8309	413	7	11(2	11(2	NOUN
ajote-8309	413	8	)	)	PUNCT
ajote-8309	413	9	,	,	PUNCT
ajote-8309	414	1	107–125	107–125	NUM
ajote-8309	414	2	.	.	PUNCT
ajote-8309	414	3	https://doi.org/10.1007/s10857-007-9063-7	https://doi.org/10.1007/s10857-007-9063-7	PROPN
ajote-8309	414	4	steffe	steffe	PROPN
ajote-8309	414	5	,	,	PUNCT
ajote-8309	414	6	l.	l.	PROPN
ajote-8309	414	7	p.	p.	PROPN
ajote-8309	414	8	(	(	PUNCT
ajote-8309	414	9	1994	1994	NUM
ajote-8309	414	10	)	)	PUNCT
ajote-8309	414	11	.	.	PUNCT
ajote-8309	415	1	children	child	NOUN
ajote-8309	415	2	’s	’s	PART
ajote-8309	415	3	multiplying	multiply	VERB
ajote-8309	415	4	schemes	scheme	NOUN
ajote-8309	415	5	.	.	PUNCT
ajote-8309	416	1	in	in	ADP
ajote-8309	416	2	g.	g.	PROPN
ajote-8309	416	3	harel	harel	PROPN
ajote-8309	416	4	&	&	CCONJ
ajote-8309	416	5	j.	j.	PROPN
ajote-8309	416	6	confrey	confrey	PROPN
ajote-8309	416	7	(	(	PUNCT
ajote-8309	416	8	eds	eds	PROPN
ajote-8309	416	9	.	.	PUNCT
ajote-8309	416	10	)	)	PUNCT
ajote-8309	416	11	,	,	PUNCT
ajote-8309	416	12	the	the	DET
ajote-8309	416	13	development	development	NOUN
ajote-8309	416	14	of	of	ADP
ajote-8309	416	15	multiplicative	multiplicative	ADJ
ajote-8309	416	16	reasoning	reasoning	NOUN
ajote-8309	416	17	in	in	ADP
ajote-8309	416	18	the	the	DET
ajote-8309	416	19	learning	learning	NOUN
ajote-8309	416	20	of	of	ADP
ajote-8309	416	21	mathematics	mathematic	NOUN
ajote-8309	416	22	(	(	PUNCT
ajote-8309	416	23	pp	pp	ADJ
ajote-8309	416	24	.	.	PUNCT
ajote-8309	416	25	3–39	3–39	NUM
ajote-8309	416	26	)	)	PUNCT
ajote-8309	416	27	.	.	PUNCT
ajote-8309	417	1	suny	suny	PROPN
ajote-8309	417	2	press	press	PROPN
ajote-8309	417	3	.	.	PUNCT
ajote-8309	418	1	tardif	tardif	PROPN
ajote-8309	418	2	,	,	PUNCT
ajote-8309	418	3	m.	m.	NOUN
ajote-8309	418	4	,	,	PUNCT
ajote-8309	418	5	lessard	lessard	PROPN
ajote-8309	418	6	,	,	PUNCT
ajote-8309	418	7	c.	c.	PROPN
ajote-8309	418	8	,	,	PUNCT
ajote-8309	418	9	&	&	CCONJ
ajote-8309	418	10	gauthier	gauthier	PROPN
ajote-8309	418	11	,	,	PUNCT
ajote-8309	418	12	c.	c.	PROPN
ajote-8309	418	13	(	(	PUNCT
ajote-8309	418	14	2002	2002	NUM
ajote-8309	418	15	)	)	PUNCT
ajote-8309	418	16	.	.	PUNCT
ajote-8309	419	1	teacher	teacher	NOUN
ajote-8309	419	2	education	education	NOUN
ajote-8309	419	3	and	and	CCONJ
ajote-8309	419	4	social	social	ADJ
ajote-8309	419	5	contexts	contexts	NOUN
ajote-8309	419	6	.	.	PUNCT
ajote-8309	420	1	ground	ground	NOUN
ajote-8309	420	2	publisher	publisher	NOUN
ajote-8309	420	3	.	.	PUNCT
ajote-8309	421	1	https://doi.org/10.2307/30034961	https://doi.org/10.2307/30034961	PROPN
ajote-8309	421	2	https://doi.org/10.1590/s0103-636x2012000200008	https://doi.org/10.1590/s0103-636x2012000200008	PROPN
ajote-8309	421	3	https://scholarworks.uni.edu/etd/421	https://scholarworks.uni.edu/etd/421	NOUN
ajote-8309	421	4	https://doi.org/10.3102/0013189x015002004	https://doi.org/10.3102/0013189x015002004	PROPN
ajote-8309	421	5	https://doi.org/10.30827/pna.v10i4.6083	https://doi.org/10.30827/pna.v10i4.6083	PROPN
ajote-8309	422	1	https://doi.org/10.1080/02619768.2018.1529751	https://doi.org/10.1080/02619768.2018.1529751	PROPN
ajote-8309	422	2	https://doi.org/10.1007/s10857-007-9063-7	https://doi.org/10.1007/s10857-007-9063-7	PROPN
ajote-8309	422	3	everton	everton	PROPN
ajote-8309	422	4	jacinto	jacinto	PROPN
ajote-8309	422	5	,	,	PUNCT
ajote-8309	422	6	arne	arne	ADJ
ajote-8309	422	7	jakobsen	jakobsen	NOUN
ajote-8309	422	8	,	,	PUNCT
ajote-8309	422	9	raymond	raymond	PROPN
ajote-8309	422	10	bjuland	bjuland	PROPN
ajote-8309	422	11	ajote	ajote	PROPN
ajote-8309	422	12	vol.14	vol.14	NOUN
ajote-8309	422	13	no.2	no.2	PROPN
ajote-8309	422	14	(	(	PUNCT
ajote-8309	422	15	2025	2025	NUM
ajote-8309	422	16	)	)	PUNCT
ajote-8309	422	17	,	,	PUNCT
ajote-8309	422	18	92	92	NUM
ajote-8309	422	19	-	-	SYM
ajote-8309	422	20	116	116	NUM
ajote-8309	422	21	116	116	NUM
ajote-8309	422	22	thanheiser	thanheiser	NOUN
ajote-8309	422	23	,	,	PUNCT
ajote-8309	422	24	e.	e.	PROPN
ajote-8309	422	25	,	,	PUNCT
ajote-8309	422	26	staples	staple	NOUN
ajote-8309	422	27	,	,	PUNCT
ajote-8309	422	28	m.	m.	NOUN
ajote-8309	422	29	,	,	PUNCT
ajote-8309	422	30	bartlo	bartlo	NOUN
ajote-8309	422	31	,	,	PUNCT
ajote-8309	422	32	j.	j.	PROPN
ajote-8309	422	33	,	,	PUNCT
ajote-8309	422	34	sitomer	sitomer	NOUN
ajote-8309	422	35	,	,	PUNCT
ajote-8309	422	36	a.	a.	NOUN
ajote-8309	422	37	,	,	PUNCT
ajote-8309	422	38	&	&	CCONJ
ajote-8309	422	39	heim	heim	PROPN
ajote-8309	422	40	,	,	PUNCT
ajote-8309	422	41	k.	k.	PROPN
ajote-8309	422	42	(	(	PUNCT
ajote-8309	422	43	2010	2010	NUM
ajote-8309	422	44	)	)	PUNCT
ajote-8309	422	45	.	.	PUNCT
ajote-8309	423	1	justification	justification	NOUN
ajote-8309	423	2	in	in	ADP
ajote-8309	423	3	middle	middle	ADJ
ajote-8309	423	4	school	school	NOUN
ajote-8309	423	5	classrooms	classroom	NOUN
ajote-8309	423	6	:	:	PUNCT
ajote-8309	423	7	how	how	SCONJ
ajote-8309	423	8	do	do	AUX
ajote-8309	423	9	middle	middle	PROPN
ajote-8309	423	10	school	school	NOUN
ajote-8309	423	11	teachers	teacher	NOUN
ajote-8309	423	12	define	define	VERB
ajote-8309	423	13	justification	justification	NOUN
ajote-8309	423	14	and	and	CCONJ
ajote-8309	423	15	its	its	PRON
ajote-8309	423	16	role	role	NOUN
ajote-8309	423	17	in	in	ADP
ajote-8309	423	18	the	the	DET
ajote-8309	423	19	classroom	classroom	NOUN
ajote-8309	423	20	?	?	PUNCT
ajote-8309	424	1	in	in	ADP
ajote-8309	424	2	p.	p.	PROPN
ajote-8309	424	3	brosnan	brosnan	PROPN
ajote-8309	424	4	,	,	PUNCT
ajote-8309	424	5	d.	d.	PROPN
ajote-8309	424	6	b.	b.	PROPN
ajote-8309	424	7	erchick	erchick	PROPN
ajote-8309	424	8	,	,	PUNCT
ajote-8309	424	9	&	&	CCONJ
ajote-8309	424	10	l.	l.	PROPN
ajote-8309	424	11	flevares	flevare	NOUN
ajote-8309	424	12	(	(	PUNCT
ajote-8309	424	13	eds	ed	NOUN
ajote-8309	424	14	.	.	PUNCT
ajote-8309	424	15	)	)	PUNCT
ajote-8309	424	16	,	,	PUNCT
ajote-8309	424	17	proceedings	proceeding	NOUN
ajote-8309	424	18	of	of	ADP
ajote-8309	424	19	the	the	DET
ajote-8309	424	20	32nd	32nd	ADJ
ajote-8309	424	21	annual	annual	ADJ
ajote-8309	424	22	meeting	meeting	NOUN
ajote-8309	424	23	of	of	ADP
ajote-8309	424	24	the	the	DET
ajote-8309	424	25	north	north	ADJ
ajote-8309	424	26	american	american	ADJ
ajote-8309	424	27	chapter	chapter	NOUN
ajote-8309	424	28	of	of	ADP
ajote-8309	424	29	the	the	DET
ajote-8309	424	30	international	international	ADJ
ajote-8309	424	31	group	group	NOUN
ajote-8309	424	32	for	for	ADP
ajote-8309	424	33	the	the	DET
ajote-8309	424	34	psychology	psychology	NOUN
ajote-8309	424	35	of	of	ADP
ajote-8309	424	36	mathematics	mathematics	PROPN
ajote-8309	424	37	education	education	NOUN
ajote-8309	424	38	(	(	PUNCT
ajote-8309	424	39	pp	pp	ADJ
ajote-8309	424	40	.	.	PUNCT
ajote-8309	424	41	860–868	860–868	NUM
ajote-8309	424	42	)	)	PUNCT
ajote-8309	424	43	.	.	PUNCT
ajote-8309	425	1	the	the	DET
ajote-8309	425	2	ohio	ohio	PROPN
ajote-8309	425	3	state	state	PROPN
ajote-8309	425	4	university	university	PROPN
ajote-8309	425	5	.	.	PUNCT
ajote-8309	426	1	unesco	unesco	PROPN
ajote-8309	426	2	.	.	PUNCT
ajote-8309	427	1	(	(	PUNCT
ajote-8309	427	2	2016	2016	NUM
ajote-8309	427	3	)	)	PUNCT
ajote-8309	427	4	.	.	PUNCT
ajote-8309	428	1	incheon	incheon	PROPN
ajote-8309	428	2	declaration	declaration	PROPN
ajote-8309	428	3	and	and	CCONJ
ajote-8309	428	4	framework	framework	NOUN
ajote-8309	428	5	for	for	ADP
ajote-8309	428	6	action	action	NOUN
ajote-8309	428	7	for	for	ADP
ajote-8309	428	8	the	the	DET
ajote-8309	428	9	implementation	implementation	NOUN
ajote-8309	428	10	of	of	ADP
ajote-8309	428	11	sustainable	sustainable	ADJ
ajote-8309	428	12	development	development	NOUN
ajote-8309	428	13	goal	goal	NOUN
ajote-8309	428	14	4	4	NUM
ajote-8309	428	15	:	:	PUNCT
ajote-8309	428	16	towards	towards	ADP
ajote-8309	428	17	inclusive	inclusive	ADJ
ajote-8309	428	18	and	and	CCONJ
ajote-8309	428	19	equitable	equitable	ADJ
ajote-8309	428	20	quality	quality	NOUN
ajote-8309	428	21	education	education	NOUN
ajote-8309	428	22	and	and	CCONJ
ajote-8309	428	23	lifelong	lifelong	ADJ
ajote-8309	428	24	learning	learning	NOUN
ajote-8309	428	25	opportunities	opportunity	NOUN
ajote-8309	428	26	for	for	ADP
ajote-8309	428	27	all	all	PRON
ajote-8309	428	28	.	.	PUNCT
ajote-8309	429	1	https://unesdoc.unesco.org/ark:/48223/pf0000245656	https://unesdoc.unesco.org/ark:/48223/pf0000245656	PROPN
ajote-8309	429	2	unicef	unicef	PROPN
ajote-8309	429	3	.	.	PUNCT
ajote-8309	430	1	(	(	PUNCT
ajote-8309	430	2	2019	2019	NUM
ajote-8309	430	3	)	)	PUNCT
ajote-8309	430	4	.	.	PUNCT
ajote-8309	431	1	2018/19	2018/19	NUM
ajote-8309	431	2	education	education	NOUN
ajote-8309	431	3	budget	budget	NOUN
ajote-8309	431	4	brief	brief	NOUN
ajote-8309	431	5	:	:	PUNCT
ajote-8309	431	6	towards	towards	ADP
ajote-8309	431	7	improved	improve	VERB
ajote-8309	431	8	education	education	NOUN
ajote-8309	431	9	for	for	ADP
ajote-8309	431	10	all	all	PRON
ajote-8309	431	11	in	in	ADP
ajote-8309	431	12	malawi	malawi	PROPN
ajote-8309	431	13	.	.	PUNCT
ajote-8309	432	1	united	united	PROPN
ajote-8309	432	2	nations	nations	PROPN
ajote-8309	432	3	children	children	PROPN
ajote-8309	432	4	’s	’s	PART
ajote-8309	432	5	fund	fund	NOUN
ajote-8309	432	6	.	.	PUNCT
ajote-8309	433	1	worden	worden	PROPN
ajote-8309	433	2	,	,	PUNCT
ajote-8309	433	3	d.	d.	PROPN
ajote-8309	433	4	(	(	PUNCT
ajote-8309	433	5	2015	2015	NUM
ajote-8309	433	6	)	)	PUNCT
ajote-8309	433	7	.	.	PUNCT
ajote-8309	434	1	the	the	DET
ajote-8309	434	2	development	development	NOUN
ajote-8309	434	3	of	of	ADP
ajote-8309	434	4	content	content	ADJ
ajote-8309	434	5	knowledge	knowledge	NOUN
ajote-8309	434	6	through	through	ADP
ajote-8309	434	7	teaching	teaching	NOUN
ajote-8309	434	8	practice	practice	NOUN
ajote-8309	434	9	.	.	PUNCT
ajote-8309	435	1	ilha	ilha	NOUN
ajote-8309	435	2	do	do	VERB
ajote-8309	435	3	desterro	desterro	PROPN
ajote-8309	435	4	,	,	PUNCT
ajote-8309	435	5	68(1	68(1	NOUN
ajote-8309	435	6	)	)	PUNCT
ajote-8309	435	7	,	,	PUNCT
ajote-8309	435	8	105–119	105–119	NUM
ajote-8309	435	9	.	.	PUNCT
ajote-8309	436	1	https://doi.org/10.5007/2175-8026.2015v68n1p105	https://doi.org/10.5007/2175-8026.2015v68n1p105	PROPN
ajote-8309	436	2	https://unesdoc.unesco.org/ark:/48223/pf0000245656	https://unesdoc.unesco.org/ark:/48223/pf0000245656	VERB
ajote-8309	436	3	https://doi.org/10.5007/2175-8026.2015v68n1p105	https://doi.org/10.5007/2175-8026.2015v68n1p105	PROPN