id	sid	tid	token	lemma	pos
edu-4309	1	1	121	121	NUM
edu-4309	1	2	©	©	PROPN
edu-4309	1	3	2022	2022	NUM
edu-4309	1	4	by	by	ADP
edu-4309	1	5	the	the	DET
edu-4309	1	6	authors	author	NOUN
edu-4309	1	7	;	;	PUNCT
edu-4309	1	8	licensee	licensee	PROPN
edu-4309	1	9	asian	asian	ADJ
edu-4309	1	10	online	online	PROPN
edu-4309	1	11	journal	journal	PROPN
edu-4309	1	12	publishing	publishing	PROPN
edu-4309	1	13	group	group	PROPN
edu-4309	1	14	asian	asian	PROPN
edu-4309	1	15	journal	journal	PROPN
edu-4309	1	16	of	of	ADP
edu-4309	1	17	education	education	NOUN
edu-4309	1	18	and	and	CCONJ
edu-4309	1	19	training	training	NOUN
edu-4309	1	20	vol	vol	NOUN
edu-4309	1	21	.	.	PROPN
edu-4309	1	22	8	8	NUM
edu-4309	1	23	,	,	PUNCT
edu-4309	1	24	no	no	INTJ
edu-4309	1	25	.	.	NOUN
edu-4309	1	26	4	4	NUM
edu-4309	1	27	,	,	PUNCT
edu-4309	1	28	121	121	NUM
edu-4309	1	29	-	-	SYM
edu-4309	1	30	130	130	NUM
edu-4309	1	31	,	,	PUNCT
edu-4309	1	32	2022	2022	NUM
edu-4309	1	33	issn(e	issn(e	NOUN
edu-4309	1	34	)	)	PUNCT
edu-4309	1	35	2519	2519	NUM
edu-4309	1	36	-	-	SYM
edu-4309	1	37	5387	5387	NUM
edu-4309	1	38	doi	doi	NOUN
edu-4309	1	39	:	:	PUNCT
edu-4309	1	40	10.20448	10.20448	NUM
edu-4309	1	41	/	/	SYM
edu-4309	1	42	edu.v8i4.4309	edu.v8i4.4309	PROPN
edu-4309	1	43	©	©	PROPN
edu-4309	1	44	2022	2022	NUM
edu-4309	1	45	by	by	ADP
edu-4309	1	46	the	the	DET
edu-4309	1	47	authors	author	NOUN
edu-4309	1	48	;	;	PUNCT
edu-4309	1	49	licensee	licensee	PROPN
edu-4309	1	50	asian	asian	ADJ
edu-4309	1	51	online	online	PROPN
edu-4309	1	52	journal	journal	PROPN
edu-4309	1	53	publishing	publishing	NOUN
edu-4309	1	54	group	group	NOUN
edu-4309	1	55	geogebra	geogebra	NOUN
edu-4309	1	56	assisted	assist	VERB
edu-4309	1	57	multiple	multiple	ADJ
edu-4309	1	58	representations	representation	NOUN
edu-4309	1	59	for	for	ADP
edu-4309	1	60	enhancing	enhance	VERB
edu-4309	1	61	students	student	NOUN
edu-4309	1	62	’	'	PUNCT
edu-4309	1	63	representation	representation	NOUN
edu-4309	1	64	translation	translation	NOUN
edu-4309	1	65	abilities	ability	NOUN
edu-4309	1	66	in	in	ADP
edu-4309	1	67	calculus	calculus	NOUN
edu-4309	1	68	nigusse	nigusse	NOUN
edu-4309	1	69	arefaine1	arefaine1	NOUN
edu-4309	1	70	kassa	kassa	PROPN
edu-4309	1	71	michael2	michael2	NOUN
edu-4309	1	72	shimelis	shimeli	NOUN
edu-4309	1	73	assefa3	assefa3	NOUN
edu-4309	2	1	(	(	PUNCT
edu-4309	2	2			PROPN
edu-4309	2	3	corresponding	correspond	VERB
edu-4309	2	4	author	author	NOUN
edu-4309	2	5	)	)	PUNCT
edu-4309	2	6	1jigjiga	1jigjiga	NUM
edu-4309	2	7	university	university	NOUN
edu-4309	2	8	,	,	PUNCT
edu-4309	2	9	department	department	NOUN
edu-4309	2	10	of	of	ADP
edu-4309	2	11	mathematics	mathematics	PROPN
edu-4309	2	12	,	,	PUNCT
edu-4309	2	13	ethiopia	ethiopia	PROPN
edu-4309	2	14	.	.	PUNCT
edu-4309	3	1	1email	1email	NUM
edu-4309	3	2	:	:	PUNCT
edu-4309	3	3	nigusse09@gmail.com	nigusse09@gmail.com	PROPN
edu-4309	3	4	2,3addis	2,3addis	NUM
edu-4309	3	5	ababa	ababa	PROPN
edu-4309	3	6	university	university	PROPN
edu-4309	3	7	,	,	PUNCT
edu-4309	3	8	department	department	NOUN
edu-4309	3	9	of	of	ADP
edu-4309	3	10	science	science	NOUN
edu-4309	3	11	and	and	CCONJ
edu-4309	3	12	mathematics	mathematic	NOUN
edu-4309	3	13	education	education	NOUN
edu-4309	3	14	,	,	PUNCT
edu-4309	3	15	ethiopia	ethiopia	PROPN
edu-4309	3	16	.	.	PUNCT
edu-4309	4	1	2email	2email	NUM
edu-4309	4	2	:	:	PUNCT
edu-4309	4	3	ftkassa2010@yahoo.com	ftkassa2010@yahoo.com	X
edu-4309	5	1	3email	3email	NUM
edu-4309	5	2	:	:	PUNCT
edu-4309	5	3	shi.assefa@gmail.com	shi.assefa@gmail.com	PROPN
edu-4309	5	4	abstract	abstract	ADJ
edu-4309	5	5	multiple	multiple	ADJ
edu-4309	5	6	representations	representation	NOUN
edu-4309	5	7	cultivate	cultivate	VERB
edu-4309	5	8	students	student	NOUN
edu-4309	5	9	’	'	PUNCT
edu-4309	5	10	mathematical	mathematical	ADJ
edu-4309	5	11	mindset	mindset	NOUN
edu-4309	5	12	.	.	PUNCT
edu-4309	6	1	however	however	ADV
edu-4309	6	2	,	,	PUNCT
edu-4309	6	3	research	research	NOUN
edu-4309	6	4	results	result	NOUN
edu-4309	6	5	have	have	AUX
edu-4309	6	6	reported	report	VERB
edu-4309	6	7	that	that	SCONJ
edu-4309	6	8	students	student	NOUN
edu-4309	6	9	do	do	AUX
edu-4309	6	10	not	not	PART
edu-4309	6	11	benefit	benefit	VERB
edu-4309	6	12	from	from	ADP
edu-4309	6	13	these	these	DET
edu-4309	6	14	tools	tool	NOUN
edu-4309	6	15	due	due	ADJ
edu-4309	6	16	to	to	ADP
edu-4309	6	17	lack	lack	NOUN
edu-4309	6	18	of	of	ADP
edu-4309	6	19	representational	representational	ADJ
edu-4309	6	20	fluency	fluency	NOUN
edu-4309	6	21	.	.	PUNCT
edu-4309	7	1	this	this	DET
edu-4309	7	2	study	study	NOUN
edu-4309	7	3	was	be	AUX
edu-4309	7	4	designed	design	VERB
edu-4309	7	5	to	to	PART
edu-4309	7	6	determine	determine	VERB
edu-4309	7	7	the	the	DET
edu-4309	7	8	impact	impact	NOUN
edu-4309	7	9	of	of	ADP
edu-4309	7	10	geogebra	geogebra	NOUN
edu-4309	7	11	assisted	assist	VERB
edu-4309	7	12	multiple	multiple	ADJ
edu-4309	7	13	representations	representation	NOUN
edu-4309	7	14	approach	approach	NOUN
edu-4309	7	15	on	on	ADP
edu-4309	7	16	students	student	NOUN
edu-4309	7	17	’	'	PUNCT
edu-4309	7	18	representation	representation	NOUN
edu-4309	7	19	translation	translation	NOUN
edu-4309	7	20	performance	performance	NOUN
edu-4309	7	21	in	in	ADP
edu-4309	7	22	calculus	calculus	NOUN
edu-4309	7	23	.	.	PUNCT
edu-4309	8	1	pretest	pret	ADJ
edu-4309	8	2	posttest	postt	ADJ
edu-4309	8	3	quasi	quasi	ADJ
edu-4309	8	4	experimental	experimental	ADJ
edu-4309	8	5	design	design	NOUN
edu-4309	8	6	was	be	AUX
edu-4309	8	7	implemented	implement	VERB
edu-4309	8	8	.	.	PUNCT
edu-4309	9	1	three	three	NUM
edu-4309	9	2	intact	intact	ADJ
edu-4309	9	3	groups	group	NOUN
edu-4309	9	4	of	of	ADP
edu-4309	9	5	first	first	ADJ
edu-4309	9	6	year	year	NOUN
edu-4309	9	7	first	first	ADJ
edu-4309	9	8	semester	semester	NOUN
edu-4309	9	9	of	of	ADP
edu-4309	9	10	social	social	ADJ
edu-4309	9	11	science	science	NOUN
edu-4309	9	12	students	student	NOUN
edu-4309	9	13	in	in	ADP
edu-4309	9	14	the	the	DET
edu-4309	9	15	2019/2020	2019/2020	NUM
edu-4309	9	16	academic	academic	ADJ
edu-4309	9	17	year	year	NOUN
edu-4309	9	18	of	of	ADP
edu-4309	9	19	size	size	NOUN
edu-4309	9	20	53	53	NUM
edu-4309	9	21	,	,	PUNCT
edu-4309	9	22	57	57	NUM
edu-4309	9	23	and	and	CCONJ
edu-4309	9	24	54	54	NUM
edu-4309	9	25	at	at	ADP
edu-4309	9	26	jigjiga	jigjiga	ADV
edu-4309	9	27	and	and	CCONJ
edu-4309	9	28	kebri	kebri	NOUN
edu-4309	9	29	-	-	PUNCT
edu-4309	9	30	dehar	dehar	NOUN
edu-4309	9	31	universities	university	NOUN
edu-4309	9	32	in	in	ADP
edu-4309	9	33	ethiopia	ethiopia	PROPN
edu-4309	9	34	were	be	AUX
edu-4309	9	35	considered	consider	VERB
edu-4309	9	36	.	.	PUNCT
edu-4309	10	1	the	the	DET
edu-4309	10	2	groups	group	NOUN
edu-4309	10	3	were	be	AUX
edu-4309	10	4	taught	teach	VERB
edu-4309	10	5	with	with	ADP
edu-4309	10	6	geogebra	geogebra	NOUN
edu-4309	10	7	supported	support	VERB
edu-4309	10	8	multiple	multiple	ADJ
edu-4309	10	9	representations	representation	NOUN
edu-4309	10	10	(	(	PUNCT
edu-4309	10	11	mrt	mrt	NOUN
edu-4309	10	12	)	)	PUNCT
edu-4309	10	13	,	,	PUNCT
edu-4309	10	14	multiple	multiple	ADJ
edu-4309	10	15	representations	representation	NOUN
edu-4309	10	16	(	(	PUNCT
edu-4309	10	17	mr	mr	PROPN
edu-4309	10	18	)	)	PUNCT
edu-4309	10	19	and	and	CCONJ
edu-4309	10	20	comparison	comparison	NOUN
edu-4309	10	21	group	group	NOUN
edu-4309	10	22	(	(	PUNCT
edu-4309	10	23	cg	cg	NOUN
edu-4309	10	24	)	)	PUNCT
edu-4309	10	25	.	.	PUNCT
edu-4309	11	1	representation	representation	NOUN
edu-4309	11	2	translation	translation	NOUN
edu-4309	11	3	test	test	NOUN
edu-4309	11	4	was	be	AUX
edu-4309	11	5	given	give	VERB
edu-4309	11	6	before	before	ADV
edu-4309	11	7	and	and	CCONJ
edu-4309	11	8	after	after	ADP
edu-4309	11	9	the	the	DET
edu-4309	11	10	treatment	treatment	NOUN
edu-4309	11	11	.	.	PUNCT
edu-4309	12	1	furthermore	furthermore	ADV
edu-4309	12	2	,	,	PUNCT
edu-4309	12	3	students	student	NOUN
edu-4309	12	4	’	'	PUNCT
edu-4309	12	5	translation	translation	NOUN
edu-4309	12	6	errors	error	NOUN
edu-4309	12	7	were	be	AUX
edu-4309	12	8	categorized	categorize	VERB
edu-4309	12	9	as	as	ADP
edu-4309	12	10	implementation	implementation	NOUN
edu-4309	12	11	,	,	PUNCT
edu-4309	12	12	interpretation	interpretation	NOUN
edu-4309	12	13	and	and	CCONJ
edu-4309	12	14	preservation	preservation	NOUN
edu-4309	12	15	errors	error	NOUN
edu-4309	12	16	and	and	CCONJ
edu-4309	12	17	analyzed	analyze	VERB
edu-4309	12	18	using	use	VERB
edu-4309	12	19	frequency	frequency	NOUN
edu-4309	12	20	and	and	CCONJ
edu-4309	12	21	percentage	percentage	NOUN
edu-4309	12	22	.	.	PUNCT
edu-4309	13	1	the	the	DET
edu-4309	13	2	ancova	ancova	NOUN
edu-4309	13	3	result	result	NOUN
edu-4309	13	4	revealed	reveal	VERB
edu-4309	13	5	that	that	SCONJ
edu-4309	13	6	significant	significant	ADJ
edu-4309	13	7	difference	difference	NOUN
edu-4309	13	8	was	be	AUX
edu-4309	13	9	obtained	obtain	VERB
edu-4309	13	10	on	on	ADP
edu-4309	13	11	the	the	DET
edu-4309	13	12	adjusted	adjust	VERB
edu-4309	13	13	mean	mean	NOUN
edu-4309	13	14	of	of	ADP
edu-4309	13	15	rtf	rtf	PROPN
edu-4309	13	16	posttest	postt	ADJ
edu-4309	13	17	(	(	PUNCT
edu-4309	13	18	f	f	X
edu-4309	13	19	(	(	PUNCT
edu-4309	13	20	2,160	2,160	NUM
edu-4309	13	21	)	)	PUNCT
edu-4309	13	22	=	=	SYM
edu-4309	13	23	5.29	5.29	NUM
edu-4309	13	24	,	,	PUNCT
edu-4309	13	25	p	p	X
edu-4309	13	26	=	=	NOUN
edu-4309	13	27	0.006	0.006	NUM
edu-4309	13	28	,	,	PUNCT
edu-4309	13	29	partial	partial	ADJ
edu-4309	13	30	𝜂2	𝜂2	NOUN
edu-4309	13	31	=	=	NOUN
edu-4309	13	32	0.062	0.062	NUM
edu-4309	13	33	)	)	PUNCT
edu-4309	13	34	in	in	ADP
edu-4309	13	35	favor	favor	NOUN
edu-4309	13	36	of	of	ADP
edu-4309	13	37	the	the	DET
edu-4309	13	38	mrt	mrt	PROPN
edu-4309	13	39	.	.	PUNCT
edu-4309	14	1	the	the	DET
edu-4309	14	2	interpretation	interpretation	NOUN
edu-4309	14	3	error	error	NOUN
edu-4309	14	4	was	be	AUX
edu-4309	14	5	the	the	DET
edu-4309	14	6	most	most	ADV
edu-4309	14	7	frequently	frequently	ADV
edu-4309	14	8	committed	commit	VERB
edu-4309	14	9	among	among	ADP
edu-4309	14	10	the	the	DET
edu-4309	14	11	groups	group	NOUN
edu-4309	14	12	.	.	PUNCT
edu-4309	15	1	recommendations	recommendation	NOUN
edu-4309	15	2	were	be	AUX
edu-4309	15	3	forwarded	forward	VERB
edu-4309	15	4	that	that	PRON
edu-4309	15	5	included	include	VERB
edu-4309	15	6	the	the	DET
edu-4309	15	7	use	use	NOUN
edu-4309	15	8	of	of	ADP
edu-4309	15	9	geogebra	geogebra	NOUN
edu-4309	15	10	and	and	CCONJ
edu-4309	15	11	the	the	DET
edu-4309	15	12	need	need	NOUN
edu-4309	15	13	to	to	PART
edu-4309	15	14	conduct	conduct	VERB
edu-4309	15	15	further	further	ADJ
edu-4309	15	16	study	study	NOUN
edu-4309	15	17	with	with	ADP
edu-4309	15	18	different	different	ADJ
edu-4309	15	19	participants	participant	NOUN
edu-4309	15	20	to	to	PART
edu-4309	15	21	generalize	generalize	VERB
edu-4309	15	22	to	to	ADP
edu-4309	15	23	the	the	DET
edu-4309	15	24	entire	entire	ADJ
edu-4309	15	25	population	population	NOUN
edu-4309	15	26	.	.	PUNCT
edu-4309	16	1	keywords	keyword	NOUN
edu-4309	16	2	:	:	PUNCT
edu-4309	16	3	calculus	calculus	NOUN
edu-4309	16	4	,	,	PUNCT
edu-4309	16	5	errors	error	NOUN
edu-4309	16	6	,	,	PUNCT
edu-4309	16	7	geogebra	geogebra	NOUN
edu-4309	16	8	,	,	PUNCT
edu-4309	16	9	multiple	multiple	ADJ
edu-4309	16	10	representations	representation	NOUN
edu-4309	16	11	,	,	PUNCT
edu-4309	16	12	representation	representation	NOUN
edu-4309	16	13	translation	translation	NOUN
edu-4309	16	14	,	,	PUNCT
edu-4309	16	15	source	source	NOUN
edu-4309	16	16	representation	representation	NOUN
edu-4309	16	17	,	,	PUNCT
edu-4309	16	18	target	target	NOUN
edu-4309	16	19	representation	representation	NOUN
edu-4309	16	20	,	,	PUNCT
edu-4309	16	21	translation	translation	NOUN
edu-4309	16	22	.	.	PUNCT
edu-4309	17	1	citation	citation	NOUN
edu-4309	17	2	|	|	ADV
edu-4309	17	3	nigusse	nigusse	NOUN
edu-4309	17	4	,	,	PUNCT
edu-4309	17	5	a.	a.	NOUN
edu-4309	17	6	,	,	PUNCT
edu-4309	17	7	kassa	kassa	NOUN
edu-4309	17	8	,	,	PUNCT
edu-4309	17	9	m.	m.	NOUN
edu-4309	17	10	,	,	PUNCT
edu-4309	17	11	&	&	CCONJ
edu-4309	17	12	shimelis	shimelis	PROPN
edu-4309	17	13	,	,	PUNCT
edu-4309	17	14	a.	a.	NOUN
edu-4309	17	15	(	(	PUNCT
edu-4309	17	16	2022	2022	NUM
edu-4309	17	17	)	)	PUNCT
edu-4309	17	18	.	.	PUNCT
edu-4309	18	1	geogebra	geogebra	NOUN
edu-4309	18	2	assisted	assist	VERB
edu-4309	18	3	multiple	multiple	ADJ
edu-4309	18	4	representations	representation	NOUN
edu-4309	18	5	for	for	ADP
edu-4309	18	6	enhancing	enhance	VERB
edu-4309	18	7	students	student	NOUN
edu-4309	18	8	’	'	PUNCT
edu-4309	18	9	representation	representation	NOUN
edu-4309	18	10	translation	translation	NOUN
edu-4309	18	11	abilities	ability	NOUN
edu-4309	18	12	in	in	ADP
edu-4309	18	13	calculus	calculus	NOUN
edu-4309	18	14	.	.	PUNCT
edu-4309	19	1	asian	asian	ADJ
edu-4309	19	2	journal	journal	PROPN
edu-4309	19	3	of	of	ADP
edu-4309	19	4	education	education	NOUN
edu-4309	19	5	and	and	CCONJ
edu-4309	19	6	training	training	NOUN
edu-4309	19	7	,	,	PUNCT
edu-4309	19	8	8(4	8(4	NUM
edu-4309	19	9	)	)	PUNCT
edu-4309	19	10	,	,	PUNCT
edu-4309	19	11	121	121	NUM
edu-4309	19	12	-	-	SYM
edu-4309	19	13	130	130	NUM
edu-4309	19	14	.	.	PUNCT
edu-4309	19	15	10.20448	10.20448	NUM
edu-4309	19	16	/	/	SYM
edu-4309	19	17	edu.v8i4.4309	edu.v8i4.4309	PROPN
edu-4309	19	18	history	history	NOUN
edu-4309	19	19	:	:	PUNCT
edu-4309	19	20	received	receive	VERB
edu-4309	19	21	:	:	PUNCT
edu-4309	19	22	10	10	NUM
edu-4309	19	23	august	august	PROPN
edu-4309	19	24	2022	2022	NUM
edu-4309	19	25	revised	revise	VERB
edu-4309	19	26	:	:	PUNCT
edu-4309	19	27	13	13	NUM
edu-4309	19	28	october	october	NOUN
edu-4309	19	29	2022	2022	NUM
edu-4309	19	30	accepted	accept	VERB
edu-4309	19	31	:	:	PUNCT
edu-4309	19	32	31	31	NUM
edu-4309	19	33	october	october	PROPN
edu-4309	19	34	2022	2022	NUM
edu-4309	19	35	published	publish	VERB
edu-4309	19	36	:	:	PUNCT
edu-4309	19	37	28	28	NUM
edu-4309	19	38	november	november	PROPN
edu-4309	19	39	2022	2022	NUM
edu-4309	19	40	licensed	license	VERB
edu-4309	19	41	:	:	PUNCT
edu-4309	19	42	this	this	DET
edu-4309	19	43	work	work	NOUN
edu-4309	19	44	is	be	AUX
edu-4309	19	45	licensed	license	VERB
edu-4309	19	46	under	under	ADP
edu-4309	19	47	a	a	DET
edu-4309	19	48	creative	creative	ADJ
edu-4309	19	49	commons	common	NOUN
edu-4309	19	50	attribution	attribution	NOUN
edu-4309	19	51	4.0	4.0	NUM
edu-4309	19	52	license	license	NOUN
edu-4309	19	53	publisher	publisher	NOUN
edu-4309	19	54	:	:	PUNCT
edu-4309	19	55	asian	asian	ADJ
edu-4309	19	56	online	online	PROPN
edu-4309	19	57	journal	journal	PROPN
edu-4309	19	58	publishing	publishing	PROPN
edu-4309	19	59	group	group	PROPN
edu-4309	19	60	funding	funding	NOUN
edu-4309	19	61	:	:	PUNCT
edu-4309	19	62	this	this	DET
edu-4309	19	63	study	study	NOUN
edu-4309	19	64	received	receive	VERB
edu-4309	19	65	no	no	DET
edu-4309	19	66	specific	specific	ADJ
edu-4309	19	67	financial	financial	ADJ
edu-4309	19	68	support	support	NOUN
edu-4309	19	69	.	.	PUNCT
edu-4309	20	1	authors	author	NOUN
edu-4309	20	2	’	'	PUNCT
edu-4309	20	3	contributions	contribution	NOUN
edu-4309	20	4	:	:	PUNCT
edu-4309	20	5	all	all	DET
edu-4309	20	6	authors	author	NOUN
edu-4309	20	7	contributed	contribute	VERB
edu-4309	20	8	equally	equally	ADV
edu-4309	20	9	to	to	ADP
edu-4309	20	10	the	the	DET
edu-4309	20	11	conception	conception	NOUN
edu-4309	20	12	and	and	CCONJ
edu-4309	20	13	design	design	NOUN
edu-4309	20	14	of	of	ADP
edu-4309	20	15	the	the	DET
edu-4309	20	16	study	study	NOUN
edu-4309	20	17	.	.	PUNCT
edu-4309	21	1	competing	compete	VERB
edu-4309	21	2	interests	interest	NOUN
edu-4309	21	3	:	:	PUNCT
edu-4309	21	4	the	the	DET
edu-4309	21	5	authors	author	NOUN
edu-4309	21	6	declare	declare	VERB
edu-4309	21	7	that	that	SCONJ
edu-4309	21	8	they	they	PRON
edu-4309	21	9	have	have	VERB
edu-4309	21	10	no	no	DET
edu-4309	21	11	conflict	conflict	NOUN
edu-4309	21	12	of	of	ADP
edu-4309	21	13	interest	interest	NOUN
edu-4309	21	14	.	.	PUNCT
edu-4309	22	1	transparency	transparency	NOUN
edu-4309	22	2	:	:	PUNCT
edu-4309	22	3	the	the	DET
edu-4309	22	4	authors	author	NOUN
edu-4309	22	5	confirm	confirm	VERB
edu-4309	22	6	that	that	SCONJ
edu-4309	22	7	the	the	DET
edu-4309	22	8	manuscript	manuscript	NOUN
edu-4309	22	9	is	be	AUX
edu-4309	22	10	an	an	DET
edu-4309	22	11	honest	honest	ADJ
edu-4309	22	12	,	,	PUNCT
edu-4309	22	13	accurate	accurate	ADJ
edu-4309	22	14	,	,	PUNCT
edu-4309	22	15	and	and	CCONJ
edu-4309	22	16	transparent	transparent	ADJ
edu-4309	22	17	account	account	NOUN
edu-4309	22	18	of	of	ADP
edu-4309	22	19	the	the	DET
edu-4309	22	20	study	study	NOUN
edu-4309	22	21	;	;	PUNCT
edu-4309	22	22	that	that	SCONJ
edu-4309	22	23	no	no	DET
edu-4309	22	24	vital	vital	ADJ
edu-4309	22	25	features	feature	NOUN
edu-4309	22	26	of	of	ADP
edu-4309	22	27	the	the	DET
edu-4309	22	28	study	study	NOUN
edu-4309	22	29	have	have	AUX
edu-4309	22	30	been	be	AUX
edu-4309	22	31	omitted	omit	VERB
edu-4309	22	32	;	;	PUNCT
edu-4309	22	33	and	and	CCONJ
edu-4309	22	34	that	that	SCONJ
edu-4309	22	35	any	any	DET
edu-4309	22	36	discrepancies	discrepancy	NOUN
edu-4309	22	37	from	from	ADP
edu-4309	22	38	the	the	DET
edu-4309	22	39	study	study	NOUN
edu-4309	22	40	as	as	SCONJ
edu-4309	22	41	planned	plan	VERB
edu-4309	22	42	have	have	AUX
edu-4309	22	43	been	be	AUX
edu-4309	22	44	explained	explain	VERB
edu-4309	22	45	.	.	PUNCT
edu-4309	23	1	ethical	ethical	ADJ
edu-4309	23	2	:	:	PUNCT
edu-4309	23	3	this	this	DET
edu-4309	23	4	study	study	NOUN
edu-4309	23	5	followed	follow	VERB
edu-4309	23	6	all	all	DET
edu-4309	23	7	ethical	ethical	ADJ
edu-4309	23	8	practices	practice	NOUN
edu-4309	23	9	during	during	ADP
edu-4309	23	10	writing	writing	NOUN
edu-4309	23	11	.	.	PUNCT
edu-4309	24	1	contents	content	NOUN
edu-4309	24	2	1	1	NUM
edu-4309	24	3	.	.	PUNCT
edu-4309	25	1	introduction	introduction	NOUN
edu-4309	25	2	....................................................................................................................................................................................	....................................................................................................................................................................................	VERB
edu-4309	25	3	122	122	NUM
edu-4309	25	4	2	2	NUM
edu-4309	25	5	.	.	PUNCT
edu-4309	26	1	statement	statement	NOUN
edu-4309	26	2	of	of	ADP
edu-4309	26	3	the	the	DET
edu-4309	26	4	problem	problem	NOUN
edu-4309	26	5	............................................................................................................................................................	............................................................................................................................................................	PUNCT
edu-4309	27	1	123	123	NUM
edu-4309	27	2	3	3	NUM
edu-4309	27	3	.	.	PUNCT
edu-4309	27	4	research	research	NOUN
edu-4309	27	5	questions	question	NOUN
edu-4309	27	6	.......................................................................................................................................................................	.......................................................................................................................................................................	PUNCT
edu-4309	28	1	123	123	NUM
edu-4309	28	2	4	4	NUM
edu-4309	28	3	.	.	PUNCT
edu-4309	28	4	methods	method	NOUN
edu-4309	28	5	...........................................................................................................................................................................................	...........................................................................................................................................................................................	PUNCT
edu-4309	29	1	123	123	NUM
edu-4309	29	2	5	5	NUM
edu-4309	29	3	.	.	PUNCT
edu-4309	29	4	results	result	NOUN
edu-4309	29	5	..............................................................................................................................................................................................	..............................................................................................................................................................................................	PUNCT
edu-4309	30	1	125	125	NUM
edu-4309	30	2	6	6	NUM
edu-4309	30	3	.	.	PUNCT
edu-4309	30	4	discussion	discussion	NOUN
edu-4309	30	5	........................................................................................................................................................................................	........................................................................................................................................................................................	PUNCT
edu-4309	31	1	128	128	NUM
edu-4309	31	2	7	7	NUM
edu-4309	31	3	.	.	PUNCT
edu-4309	31	4	conclusion	conclusion	NOUN
edu-4309	31	5	.......................................................................................................................................................................................	.......................................................................................................................................................................................	PUNCT
edu-4309	32	1	129	129	NUM
edu-4309	32	2	8	8	NUM
edu-4309	32	3	.	.	PUNCT
edu-4309	33	1	recommendations	recommendation	NOUN
edu-4309	33	2	..........................................................................................................................................................................	..........................................................................................................................................................................	PUNCT
edu-4309	34	1	129	129	NUM
edu-4309	34	2	references	reference	NOUN
edu-4309	34	3	............................................................................................................................................................................................	............................................................................................................................................................................................	PUNCT
edu-4309	35	1	129	129	NUM
edu-4309	35	2	mailto:nigusse09@gmail.com	mailto:nigusse09@gmail.com	NOUN
edu-4309	35	3	mailto:ftkassa2010@yahoo.com	mailto:ftkassa2010@yahoo.com	PROPN
edu-4309	35	4	mailto:shi.assefa@gmail.com	mailto:shi.assefa@gmail.com	PROPN
edu-4309	35	5	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
edu-4309	35	6	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
edu-4309	35	7	https://www.doi.org/10.20448/edu.v8i4.4309	https://www.doi.org/10.20448/edu.v8i4.4309	PROPN
edu-4309	36	1	https://orcid.org/0000-0002-0075-3059	https://orcid.org/0000-0002-0075-3059	PRON
edu-4309	36	2	https://orcid.org/0000-0002-9239-2990	https://orcid.org/0000-0002-9239-2990	ADJ
edu-4309	36	3	https://orcid.org/0000-0002-8917-4829	https://orcid.org/0000-0002-8917-4829	PROPN
edu-4309	36	4	asian	asian	PROPN
edu-4309	36	5	journal	journal	PROPN
edu-4309	36	6	of	of	ADP
edu-4309	36	7	education	education	NOUN
edu-4309	36	8	and	and	CCONJ
edu-4309	36	9	training	training	NOUN
edu-4309	36	10	,	,	PUNCT
edu-4309	36	11	2022	2022	NUM
edu-4309	36	12	,	,	PUNCT
edu-4309	36	13	8(4	8(4	NUM
edu-4309	36	14	):	):	PUNCT
edu-4309	36	15	121	121	NUM
edu-4309	36	16	-	-	SYM
edu-4309	36	17	130	130	NUM
edu-4309	36	18	122	122	NUM
edu-4309	36	19	©	©	PROPN
edu-4309	36	20	2022	2022	NUM
edu-4309	36	21	by	by	ADP
edu-4309	36	22	the	the	DET
edu-4309	36	23	authors	author	NOUN
edu-4309	36	24	;	;	PUNCT
edu-4309	36	25	licensee	licensee	PROPN
edu-4309	36	26	asian	asian	ADJ
edu-4309	36	27	online	online	PROPN
edu-4309	36	28	journal	journal	PROPN
edu-4309	36	29	publishing	publishing	NOUN
edu-4309	36	30	group	group	NOUN
edu-4309	36	31	contribution	contribution	NOUN
edu-4309	36	32	of	of	ADP
edu-4309	36	33	this	this	DET
edu-4309	36	34	paper	paper	NOUN
edu-4309	36	35	to	to	ADP
edu-4309	36	36	the	the	DET
edu-4309	36	37	literature	literature	NOUN
edu-4309	36	38	the	the	DET
edu-4309	36	39	study	study	NOUN
edu-4309	36	40	provides	provide	VERB
edu-4309	36	41	a	a	DET
edu-4309	36	42	step	step	NOUN
edu-4309	36	43	forward	forward	ADV
edu-4309	36	44	on	on	ADP
edu-4309	36	45	the	the	DET
edu-4309	36	46	implementation	implementation	NOUN
edu-4309	36	47	of	of	ADP
edu-4309	36	48	geogebra	geogebra	NOUN
edu-4309	36	49	to	to	PART
edu-4309	36	50	enhance	enhance	VERB
edu-4309	36	51	the	the	DET
edu-4309	36	52	quality	quality	NOUN
edu-4309	36	53	and	and	CCONJ
edu-4309	36	54	quantity	quantity	NOUN
edu-4309	36	55	of	of	ADP
edu-4309	36	56	using	use	VERB
edu-4309	36	57	multiple	multiple	ADJ
edu-4309	36	58	representations	representation	NOUN
edu-4309	36	59	for	for	ADP
edu-4309	36	60	learning	learn	VERB
edu-4309	36	61	calculus	calculus	NOUN
edu-4309	36	62	.	.	PUNCT
edu-4309	37	1	furthermore	furthermore	ADV
edu-4309	37	2	,	,	PUNCT
edu-4309	37	3	the	the	DET
edu-4309	37	4	study	study	NOUN
edu-4309	37	5	explains	explain	VERB
edu-4309	37	6	the	the	DET
edu-4309	37	7	plethora	plethora	NOUN
edu-4309	37	8	of	of	ADP
edu-4309	37	9	multiple	multiple	ADJ
edu-4309	37	10	representations	representation	NOUN
edu-4309	37	11	on	on	ADP
edu-4309	37	12	representation	representation	NOUN
edu-4309	37	13	translation	translation	NOUN
edu-4309	37	14	abilities	ability	NOUN
edu-4309	37	15	through	through	ADP
edu-4309	37	16	detecting	detect	VERB
edu-4309	37	17	potential	potential	ADJ
edu-4309	37	18	sources	source	NOUN
edu-4309	37	19	of	of	ADP
edu-4309	37	20	errors	error	NOUN
edu-4309	37	21	to	to	PART
edu-4309	37	22	facilitate	facilitate	VERB
edu-4309	37	23	students	student	NOUN
edu-4309	37	24	’	'	PUNCT
edu-4309	37	25	learning	learning	NOUN
edu-4309	37	26	.	.	PUNCT
edu-4309	38	1	1	1	X
edu-4309	38	2	.	.	X
edu-4309	38	3	introduction	introduction	NOUN
edu-4309	38	4	inherently	inherently	ADV
edu-4309	38	5	,	,	PUNCT
edu-4309	38	6	mathematics	mathematics	PROPN
edu-4309	38	7	is	be	AUX
edu-4309	38	8	endowed	endow	VERB
edu-4309	38	9	with	with	ADP
edu-4309	38	10	multiple	multiple	ADJ
edu-4309	38	11	representations	representation	NOUN
edu-4309	38	12	(	(	PUNCT
edu-4309	38	13	mrs	mrs	NOUN
edu-4309	38	14	)	)	PUNCT
edu-4309	38	15	used	use	VERB
edu-4309	38	16	for	for	ADP
edu-4309	38	17	problem	problem	NOUN
edu-4309	38	18	solving	solving	NOUN
edu-4309	38	19	,	,	PUNCT
edu-4309	38	20	conceptual	conceptual	ADJ
edu-4309	38	21	understanding	understanding	NOUN
edu-4309	38	22	,	,	PUNCT
edu-4309	38	23	and	and	CCONJ
edu-4309	38	24	disciplinary	disciplinary	ADJ
edu-4309	38	25	discourse	discourse	NOUN
edu-4309	38	26	.	.	PUNCT
edu-4309	39	1	mathematics	mathematic	NOUN
edu-4309	39	2	stands	stand	VERB
edu-4309	39	3	as	as	ADP
edu-4309	39	4	a	a	DET
edu-4309	39	5	discipline	discipline	NOUN
edu-4309	39	6	due	due	ADP
edu-4309	39	7	to	to	ADP
edu-4309	39	8	these	these	DET
edu-4309	39	9	representations	representation	NOUN
edu-4309	39	10	;	;	PUNCT
edu-4309	39	11	otherwise	otherwise	ADV
edu-4309	39	12	it	it	PRON
edu-4309	39	13	would	would	AUX
edu-4309	39	14	have	have	AUX
edu-4309	39	15	been	be	AUX
edu-4309	39	16	an	an	DET
edu-4309	39	17	imaginary	imaginary	ADJ
edu-4309	39	18	idea	idea	NOUN
edu-4309	39	19	.	.	PUNCT
edu-4309	40	1	upon	upon	SCONJ
edu-4309	40	2	the	the	DET
edu-4309	40	3	advent	advent	NOUN
edu-4309	40	4	of	of	ADP
edu-4309	40	5	versatile	versatile	ADJ
edu-4309	40	6	computer	computer	NOUN
edu-4309	40	7	technologies	technology	NOUN
edu-4309	40	8	,	,	PUNCT
edu-4309	40	9	mrs	mrs	PROPN
edu-4309	40	10	becomes	become	VERB
edu-4309	40	11	a	a	DET
edu-4309	40	12	conspicuous	conspicuous	ADJ
edu-4309	40	13	instructional	instructional	ADJ
edu-4309	40	14	approach	approach	NOUN
edu-4309	40	15	in	in	ADP
edu-4309	40	16	mathematics	mathematic	NOUN
edu-4309	40	17	to	to	PART
edu-4309	40	18	create	create	VERB
edu-4309	40	19	a	a	DET
edu-4309	40	20	cohesive	cohesive	ADJ
edu-4309	40	21	and	and	CCONJ
edu-4309	40	22	comprehensive	comprehensive	ADJ
edu-4309	40	23	conceptual	conceptual	ADJ
edu-4309	40	24	understanding	understanding	NOUN
edu-4309	40	25	on	on	ADP
edu-4309	40	26	students	student	NOUN
edu-4309	40	27	’	'	PUNCT
edu-4309	40	28	side	side	NOUN
edu-4309	40	29	.	.	PUNCT
edu-4309	41	1	there	there	PRON
edu-4309	41	2	are	be	VERB
edu-4309	41	3	plenty	plenty	NOUN
edu-4309	41	4	of	of	ADP
edu-4309	41	5	computer	computer	NOUN
edu-4309	41	6	tools	tool	NOUN
edu-4309	41	7	that	that	PRON
edu-4309	41	8	support	support	VERB
edu-4309	41	9	dynamic	dynamic	ADJ
edu-4309	41	10	links	link	NOUN
edu-4309	41	11	of	of	ADP
edu-4309	41	12	mrs	mrs	PROPN
edu-4309	41	13	.	.	PROPN
edu-4309	41	14	geogebra	geogebra	PROPN
edu-4309	41	15	is	be	AUX
edu-4309	41	16	one	one	NUM
edu-4309	41	17	of	of	ADP
edu-4309	41	18	them	they	PRON
edu-4309	41	19	.	.	PUNCT
edu-4309	42	1	it	it	PRON
edu-4309	42	2	is	be	AUX
edu-4309	42	3	a	a	DET
edu-4309	42	4	fascinating	fascinating	ADJ
edu-4309	42	5	mathematical	mathematical	ADJ
edu-4309	42	6	software	software	NOUN
edu-4309	42	7	application	application	NOUN
edu-4309	42	8	used	use	VERB
edu-4309	42	9	to	to	PART
edu-4309	42	10	experiment	experiment	VERB
edu-4309	42	11	and	and	CCONJ
edu-4309	42	12	explore	explore	VERB
edu-4309	42	13	mathematical	mathematical	ADJ
edu-4309	42	14	contents	content	NOUN
edu-4309	42	15	via	via	ADP
edu-4309	42	16	dynamically	dynamically	ADV
edu-4309	42	17	linked	link	VERB
edu-4309	42	18	mrs	mrs	PROPN
edu-4309	42	19	(	(	PUNCT
edu-4309	42	20	dahal	dahal	PROPN
edu-4309	42	21	,	,	PUNCT
edu-4309	42	22	2019	2019	NUM
edu-4309	42	23	)	)	PUNCT
edu-4309	42	24	.	.	PUNCT
edu-4309	43	1	the	the	DET
edu-4309	43	2	ability	ability	NOUN
edu-4309	43	3	of	of	ADP
edu-4309	43	4	mrs	mrs	PROPN
edu-4309	43	5	is	be	AUX
edu-4309	43	6	paramount	paramount	ADJ
edu-4309	43	7	important	important	ADJ
edu-4309	43	8	to	to	PART
edu-4309	43	9	characterize	characterize	VERB
edu-4309	43	10	students	student	NOUN
edu-4309	43	11	who	who	PRON
edu-4309	43	12	excel	excel	VERB
edu-4309	43	13	in	in	ADP
edu-4309	43	14	mathematics	mathematic	NOUN
edu-4309	43	15	.	.	PUNCT
edu-4309	44	1	mathematical	mathematical	ADJ
edu-4309	44	2	representation	representation	NOUN
edu-4309	44	3	skills	skill	NOUN
edu-4309	44	4	is	be	AUX
edu-4309	44	5	one	one	NUM
edu-4309	44	6	of	of	ADP
edu-4309	44	7	the	the	DET
edu-4309	44	8	five	five	NUM
edu-4309	44	9	mathematical	mathematical	ADJ
edu-4309	44	10	abilities	ability	NOUN
edu-4309	44	11	in	in	ADP
edu-4309	44	12	the	the	DET
edu-4309	44	13	school	school	NOUN
edu-4309	44	14	mathematics	mathematic	NOUN
edu-4309	44	15	standards	standard	NOUN
edu-4309	44	16	,	,	PUNCT
edu-4309	44	17	including	include	VERB
edu-4309	44	18	(	(	PUNCT
edu-4309	44	19	1	1	NUM
edu-4309	44	20	)	)	PUNCT
edu-4309	44	21	communication	communication	NOUN
edu-4309	44	22	,	,	PUNCT
edu-4309	44	23	(	(	PUNCT
edu-4309	44	24	2	2	X
edu-4309	44	25	)	)	PUNCT
edu-4309	44	26	reasoning	reasoning	NOUN
edu-4309	44	27	,	,	PUNCT
edu-4309	44	28	(	(	PUNCT
edu-4309	44	29	3	3	X
edu-4309	44	30	)	)	PUNCT
edu-4309	44	31	problem	problem	NOUN
edu-4309	44	32	solving	solving	NOUN
edu-4309	44	33	,	,	PUNCT
edu-4309	44	34	(	(	PUNCT
edu-4309	44	35	4	4	X
edu-4309	44	36	)	)	PUNCT
edu-4309	44	37	connection	connection	NOUN
edu-4309	44	38	,	,	PUNCT
edu-4309	44	39	and	and	CCONJ
edu-4309	44	40	(	(	PUNCT
edu-4309	44	41	5	5	NUM
edu-4309	44	42	)	)	PUNCT
edu-4309	44	43	representation	representation	NOUN
edu-4309	44	44	.	.	PUNCT
edu-4309	45	1	the	the	DET
edu-4309	45	2	most	most	ADV
edu-4309	45	3	commonly	commonly	ADV
edu-4309	45	4	used	use	VERB
edu-4309	45	5	representation	representation	NOUN
edu-4309	45	6	types	type	NOUN
edu-4309	45	7	in	in	ADP
edu-4309	45	8	a	a	DET
edu-4309	45	9	typical	typical	ADJ
edu-4309	45	10	calculus	calculus	NOUN
edu-4309	45	11	classroom	classroom	NOUN
edu-4309	45	12	instruction	instruction	NOUN
edu-4309	45	13	are	be	AUX
edu-4309	45	14	numerical	numerical	ADJ
edu-4309	45	15	,	,	PUNCT
edu-4309	45	16	graphical	graphical	ADJ
edu-4309	45	17	,	,	PUNCT
edu-4309	45	18	algebraic	algebraic	ADJ
edu-4309	45	19	,	,	PUNCT
edu-4309	45	20	verbal	verbal	ADJ
edu-4309	45	21	,	,	PUNCT
edu-4309	45	22	and	and	CCONJ
edu-4309	45	23	their	their	PRON
edu-4309	45	24	possible	possible	ADJ
edu-4309	45	25	combinations	combination	NOUN
edu-4309	45	26	.	.	PUNCT
edu-4309	46	1	the	the	DET
edu-4309	46	2	notion	notion	NOUN
edu-4309	46	3	of	of	ADP
edu-4309	46	4	mrs	mrs	PROPN
edu-4309	46	5	is	be	AUX
edu-4309	46	6	the	the	DET
edu-4309	46	7	delivery	delivery	NOUN
edu-4309	46	8	of	of	ADP
edu-4309	46	9	a	a	DET
edu-4309	46	10	concept	concept	NOUN
edu-4309	46	11	using	use	VERB
edu-4309	46	12	at	at	ADV
edu-4309	46	13	least	least	ADV
edu-4309	46	14	two	two	NUM
edu-4309	46	15	different	different	ADJ
edu-4309	46	16	representation	representation	NOUN
edu-4309	46	17	types	type	NOUN
edu-4309	46	18	(	(	PUNCT
edu-4309	46	19	ainsworth	ainsworth	NOUN
edu-4309	46	20	,	,	PUNCT
edu-4309	46	21	2006	2006	NUM
edu-4309	46	22	;	;	PUNCT
edu-4309	46	23	arifah	arifah	X
edu-4309	46	24	,	,	PUNCT
edu-4309	46	25	2020	2020	NUM
edu-4309	46	26	)	)	PUNCT
edu-4309	46	27	.	.	PUNCT
edu-4309	47	1	the	the	DET
edu-4309	47	2	advantage	advantage	NOUN
edu-4309	47	3	of	of	ADP
edu-4309	47	4	learning	learn	VERB
edu-4309	47	5	mathematics	mathematic	NOUN
edu-4309	47	6	with	with	ADP
edu-4309	47	7	mrs	mrs	PROPN
edu-4309	47	8	are	be	AUX
edu-4309	47	9	explained	explain	VERB
edu-4309	47	10	from	from	ADP
edu-4309	47	11	the	the	DET
edu-4309	47	12	perspectives	perspective	NOUN
edu-4309	47	13	of	of	ADP
edu-4309	47	14	information	information	NOUN
edu-4309	47	15	processing	processing	NOUN
edu-4309	47	16	theory	theory	NOUN
edu-4309	47	17	(	(	PUNCT
edu-4309	47	18	dual	dual	ADJ
edu-4309	47	19	coding	coding	NOUN
edu-4309	47	20	)	)	PUNCT
edu-4309	47	21	(	(	PUNCT
edu-4309	47	22	clark	clark	PROPN
edu-4309	47	23	&	&	CCONJ
edu-4309	47	24	paivio	paivio	PROPN
edu-4309	47	25	,	,	PUNCT
edu-4309	47	26	1991	1991	NUM
edu-4309	47	27	)	)	PUNCT
edu-4309	47	28	,	,	PUNCT
edu-4309	47	29	and	and	CCONJ
edu-4309	47	30	pedagogical	pedagogical	ADJ
edu-4309	47	31	functions	function	NOUN
edu-4309	47	32	(	(	PUNCT
edu-4309	47	33	complement	complement	NOUN
edu-4309	47	34	,	,	PUNCT
edu-4309	47	35	constrain	constrain	VERB
edu-4309	47	36	and	and	CCONJ
edu-4309	47	37	construct	construct	VERB
edu-4309	47	38	(	(	PUNCT
edu-4309	47	39	ainsworth	ainsworth	PROPN
edu-4309	47	40	,	,	PUNCT
edu-4309	47	41	2006	2006	NUM
edu-4309	47	42	)	)	PUNCT
edu-4309	47	43	in	in	ADP
edu-4309	47	44	the	the	DET
edu-4309	47	45	process	process	NOUN
edu-4309	47	46	of	of	ADP
edu-4309	47	47	designing	design	VERB
edu-4309	47	48	an	an	DET
edu-4309	47	49	appropriate	appropriate	ADJ
edu-4309	47	50	multi	multi	ADJ
edu-4309	47	51	-	-	ADJ
edu-4309	47	52	representational	representational	ADJ
edu-4309	47	53	learning	learn	VERB
edu-4309	47	54	environment	environment	NOUN
edu-4309	47	55	to	to	PART
edu-4309	47	56	support	support	VERB
edu-4309	47	57	students	student	NOUN
edu-4309	47	58	’	'	PUNCT
edu-4309	47	59	learning	learning	NOUN
edu-4309	47	60	,	,	PUNCT
edu-4309	47	61	the	the	DET
edu-4309	47	62	rhythm	rhythm	NOUN
edu-4309	47	63	must	must	AUX
edu-4309	47	64	be	be	AUX
edu-4309	47	65	based	base	VERB
edu-4309	47	66	on	on	ADP
edu-4309	47	67	the	the	DET
edu-4309	47	68	pedagogical	pedagogical	ADJ
edu-4309	47	69	functions	function	NOUN
edu-4309	47	70	that	that	PRON
edu-4309	47	71	mrs	mrs	PROPN
edu-4309	47	72	provides	provide	VERB
edu-4309	47	73	along	along	ADP
edu-4309	47	74	with	with	ADP
edu-4309	47	75	design	design	NOUN
edu-4309	47	76	parameters	parameter	NOUN
edu-4309	47	77	and	and	CCONJ
edu-4309	47	78	cognitive	cognitive	ADJ
edu-4309	47	79	tasks	task	NOUN
edu-4309	47	80	(	(	PUNCT
edu-4309	47	81	ainsworth	ainsworth	NOUN
edu-4309	47	82	,	,	PUNCT
edu-4309	47	83	2006	2006	NUM
edu-4309	47	84	)	)	PUNCT
edu-4309	47	85	.	.	PUNCT
edu-4309	48	1	the	the	DET
edu-4309	48	2	chalk	chalk	NOUN
edu-4309	48	3	and	and	CCONJ
edu-4309	48	4	board	board	NOUN
edu-4309	48	5	approaches	approach	NOUN
edu-4309	48	6	are	be	AUX
edu-4309	48	7	no	no	ADV
edu-4309	48	8	longer	long	ADV
edu-4309	48	9	supportive	supportive	ADJ
edu-4309	48	10	of	of	ADP
edu-4309	48	11	implementing	implement	VERB
edu-4309	48	12	mrs	mrs	PROPN
edu-4309	48	13	in	in	ADP
edu-4309	48	14	mathematics	mathematics	PROPN
edu-4309	48	15	classroom	classroom	NOUN
edu-4309	48	16	.	.	PUNCT
edu-4309	49	1	however	however	ADV
edu-4309	49	2	,	,	PUNCT
edu-4309	49	3	the	the	DET
edu-4309	49	4	advent	advent	NOUN
edu-4309	49	5	of	of	ADP
edu-4309	49	6	multiple	multiple	ADJ
edu-4309	49	7	interface	interface	NOUN
edu-4309	49	8	computer	computer	NOUN
edu-4309	49	9	technologies	technology	NOUN
edu-4309	49	10	has	have	AUX
edu-4309	49	11	increased	increase	VERB
edu-4309	49	12	the	the	DET
edu-4309	49	13	quantity	quantity	NOUN
edu-4309	49	14	and	and	CCONJ
edu-4309	49	15	quality	quality	NOUN
edu-4309	49	16	of	of	ADP
edu-4309	49	17	using	use	VERB
edu-4309	49	18	mrs	mrs	PROPN
edu-4309	49	19	in	in	ADP
edu-4309	49	20	mathematics	mathematics	NOUN
edu-4309	49	21	instruction	instruction	NOUN
edu-4309	49	22	.	.	PUNCT
edu-4309	50	1	the	the	DET
edu-4309	50	2	emergence	emergence	NOUN
edu-4309	50	3	of	of	ADP
edu-4309	50	4	geogebra	geogebra	NOUN
edu-4309	50	5	makes	make	VERB
edu-4309	50	6	mrs	mrs	PROPN
edu-4309	50	7	more	more	ADV
edu-4309	50	8	accessibly	accessibly	ADV
edu-4309	50	9	with	with	ADP
edu-4309	50	10	more	more	ADJ
edu-4309	50	11	quantities	quantity	NOUN
edu-4309	50	12	and	and	CCONJ
edu-4309	50	13	qualities	quality	NOUN
edu-4309	50	14	in	in	ADP
edu-4309	50	15	calculus	calculus	NOUN
edu-4309	50	16	learning	learning	NOUN
edu-4309	50	17	(	(	PUNCT
edu-4309	50	18	arifah	arifah	INTJ
edu-4309	50	19	,	,	PUNCT
edu-4309	50	20	2020	2020	NUM
edu-4309	50	21	)	)	PUNCT
edu-4309	50	22	.	.	PUNCT
edu-4309	51	1	to	to	PART
edu-4309	51	2	get	get	VERB
edu-4309	51	3	the	the	DET
edu-4309	51	4	optimum	optimum	ADJ
edu-4309	51	5	benefits	benefit	NOUN
edu-4309	51	6	that	that	PRON
edu-4309	51	7	mrs	mrs	PROPN
edu-4309	51	8	can	can	AUX
edu-4309	51	9	offer	offer	VERB
edu-4309	51	10	,	,	PUNCT
edu-4309	51	11	students	student	NOUN
edu-4309	51	12	need	need	VERB
edu-4309	51	13	to	to	PART
edu-4309	51	14	develop	develop	VERB
edu-4309	51	15	multiple	multiple	ADJ
edu-4309	51	16	representation	representation	NOUN
edu-4309	51	17	abilities	ability	NOUN
edu-4309	51	18	:	:	PUNCT
edu-4309	51	19	the	the	DET
edu-4309	51	20	ability	ability	NOUN
edu-4309	51	21	of	of	ADP
edu-4309	51	22	creating	create	VERB
edu-4309	51	23	,	,	PUNCT
edu-4309	51	24	interpreting	interpreting	NOUN
edu-4309	51	25	,	,	PUNCT
edu-4309	51	26	implementing	implement	VERB
edu-4309	51	27	and	and	CCONJ
edu-4309	51	28	translating	translate	VERB
edu-4309	51	29	multiple	multiple	ADJ
edu-4309	51	30	representations	representation	NOUN
edu-4309	51	31	for	for	ADP
edu-4309	51	32	problem	problem	NOUN
edu-4309	51	33	solving	solving	NOUN
edu-4309	51	34	(	(	PUNCT
edu-4309	51	35	fonger	fonger	NOUN
edu-4309	51	36	,	,	PUNCT
edu-4309	51	37	2019	2019	NUM
edu-4309	51	38	)	)	PUNCT
edu-4309	51	39	.	.	PUNCT
edu-4309	52	1	mrs	mrs	PROPN
edu-4309	52	2	ability	ability	NOUN
edu-4309	52	3	is	be	AUX
edu-4309	52	4	a	a	DET
edu-4309	52	5	land	land	NOUN
edu-4309	52	6	mark	mark	NOUN
edu-4309	52	7	for	for	ADP
edu-4309	52	8	meaning	mean	VERB
edu-4309	52	9	making	make	VERB
edu-4309	52	10	in	in	ADP
edu-4309	52	11	mathematics	mathematics	NOUN
edu-4309	52	12	learning	learning	NOUN
edu-4309	52	13	.	.	PUNCT
edu-4309	53	1	these	these	DET
edu-4309	53	2	abilities	ability	NOUN
edu-4309	53	3	are	be	AUX
edu-4309	53	4	equally	equally	ADV
edu-4309	53	5	important	important	ADJ
edu-4309	53	6	for	for	SCONJ
edu-4309	53	7	novices	novice	NOUN
edu-4309	53	8	and	and	CCONJ
edu-4309	53	9	experts	expert	NOUN
edu-4309	53	10	(	(	PUNCT
edu-4309	53	11	pedersen	pedersen	PROPN
edu-4309	53	12	,	,	PUNCT
edu-4309	53	13	bach	bach	PROPN
edu-4309	53	14	,	,	PUNCT
edu-4309	53	15	gregersen	gregersen	PROPN
edu-4309	53	16	,	,	PUNCT
edu-4309	53	17	højsted	højste	VERB
edu-4309	53	18	,	,	PUNCT
edu-4309	53	19	&	&	CCONJ
edu-4309	53	20	jankvist	jankvist	PROPN
edu-4309	53	21	,	,	PUNCT
edu-4309	53	22	2021	2021	NUM
edu-4309	53	23	)	)	PUNCT
edu-4309	53	24	.	.	PUNCT
edu-4309	54	1	however	however	ADV
edu-4309	54	2	,	,	PUNCT
edu-4309	54	3	novices	novice	NOUN
edu-4309	54	4	lack	lack	VERB
edu-4309	54	5	the	the	DET
edu-4309	54	6	required	require	VERB
edu-4309	54	7	abilities	ability	NOUN
edu-4309	54	8	for	for	ADP
edu-4309	54	9	mrs	mrs	PROPN
edu-4309	54	10	(	(	PUNCT
edu-4309	54	11	nurrahmawati	nurrahmawati	PROPN
edu-4309	54	12	,	,	PUNCT
edu-4309	54	13	sa’dijah	sa’dijah	PROPN
edu-4309	54	14	,	,	PUNCT
edu-4309	54	15	sudirman	sudirman	NOUN
edu-4309	54	16	,	,	PUNCT
edu-4309	54	17	&	&	CCONJ
edu-4309	54	18	muksa	muksa	ADJ
edu-4309	54	19	,	,	PUNCT
edu-4309	54	20	2019	2019	NUM
edu-4309	54	21	;	;	PUNCT
edu-4309	54	22	rahmawati	rahmawati	NOUN
edu-4309	54	23	,	,	PUNCT
edu-4309	54	24	2019	2019	NUM
edu-4309	54	25	)	)	PUNCT
edu-4309	54	26	.	.	PUNCT
edu-4309	55	1	the	the	DET
edu-4309	55	2	ability	ability	NOUN
edu-4309	55	3	with	with	ADP
edu-4309	55	4	mrs	mrs	PROPN
edu-4309	55	5	enables	enable	NOUN
edu-4309	55	6	seamlessly	seamlessly	ADV
edu-4309	55	7	translate	translate	VERB
edu-4309	55	8	one	one	NUM
edu-4309	55	9	representation	representation	NOUN
edu-4309	55	10	to	to	ADP
edu-4309	55	11	another	another	PRON
edu-4309	55	12	and	and	CCONJ
edu-4309	55	13	flexibly	flexibly	ADV
edu-4309	55	14	implement	implement	VERB
edu-4309	55	15	various	various	ADJ
edu-4309	55	16	representations	representation	NOUN
edu-4309	55	17	in	in	ADP
edu-4309	55	18	solving	solve	VERB
edu-4309	55	19	mathematical	mathematical	ADJ
edu-4309	55	20	problems	problem	NOUN
edu-4309	55	21	.	.	PUNCT
edu-4309	56	1	these	these	DET
edu-4309	56	2	abilities	ability	NOUN
edu-4309	56	3	are	be	AUX
edu-4309	56	4	at	at	ADP
edu-4309	56	5	the	the	DET
edu-4309	56	6	heart	heart	NOUN
edu-4309	56	7	of	of	ADP
edu-4309	56	8	successful	successful	ADJ
edu-4309	56	9	mathematics	mathematic	NOUN
edu-4309	56	10	learning	learning	NOUN
edu-4309	56	11	(	(	PUNCT
edu-4309	56	12	adu	adu	ADJ
edu-4309	56	13	-	-	PUNCT
edu-4309	56	14	gyamfi	gyamfi	ADJ
edu-4309	56	15	,	,	PUNCT
edu-4309	56	16	stiff	stiff	ADJ
edu-4309	56	17	,	,	PUNCT
edu-4309	56	18	&	&	CCONJ
edu-4309	56	19	bossé	bossé	NOUN
edu-4309	56	20	,	,	PUNCT
edu-4309	56	21	2012	2012	NUM
edu-4309	56	22	;	;	PUNCT
edu-4309	56	23	fonger	fonger	NOUN
edu-4309	56	24	,	,	PUNCT
edu-4309	56	25	2019	2019	NUM
edu-4309	56	26	)	)	PUNCT
edu-4309	56	27	.	.	PUNCT
edu-4309	57	1	mrs	mrs	PROPN
edu-4309	57	2	as	as	ADP
edu-4309	57	3	method	method	NOUN
edu-4309	57	4	of	of	ADP
edu-4309	57	5	instruction	instruction	NOUN
edu-4309	57	6	is	be	AUX
edu-4309	57	7	defined	define	VERB
edu-4309	57	8	as	as	ADP
edu-4309	57	9	the	the	DET
edu-4309	57	10	implementation	implementation	NOUN
edu-4309	57	11	of	of	ADP
edu-4309	57	12	two	two	NUM
edu-4309	57	13	or	or	CCONJ
edu-4309	57	14	more	more	ADJ
edu-4309	57	15	than	than	ADP
edu-4309	57	16	two	two	NUM
edu-4309	57	17	different	different	ADJ
edu-4309	57	18	representations	representation	NOUN
edu-4309	57	19	simultaneously	simultaneously	ADV
edu-4309	57	20	in	in	ADP
edu-4309	57	21	classroom	classroom	NOUN
edu-4309	57	22	instruction	instruction	NOUN
edu-4309	57	23	when	when	SCONJ
edu-4309	57	24	a	a	DET
edu-4309	57	25	single	single	ADJ
edu-4309	57	26	representation	representation	NOUN
edu-4309	57	27	is	be	AUX
edu-4309	57	28	no	no	ADV
edu-4309	57	29	longer	long	ADV
edu-4309	57	30	adequate	adequate	ADJ
edu-4309	57	31	to	to	PART
edu-4309	57	32	provide	provide	VERB
edu-4309	57	33	a	a	DET
edu-4309	57	34	complete	complete	ADJ
edu-4309	57	35	picture	picture	NOUN
edu-4309	57	36	of	of	ADP
edu-4309	57	37	a	a	DET
edu-4309	57	38	concept	concept	NOUN
edu-4309	57	39	(	(	PUNCT
edu-4309	57	40	ainsworth	ainsworth	PROPN
edu-4309	57	41	,	,	PUNCT
edu-4309	57	42	2006	2006	NUM
edu-4309	57	43	;	;	PUNCT
edu-4309	57	44	fonger	fonger	NOUN
edu-4309	57	45	,	,	PUNCT
edu-4309	57	46	2019	2019	NUM
edu-4309	57	47	;	;	PUNCT
edu-4309	57	48	nurrahmawati	nurrahmawati	PROPN
edu-4309	57	49	et	et	PROPN
edu-4309	57	50	al	al	PROPN
edu-4309	57	51	.	.	PROPN
edu-4309	57	52	,	,	PUNCT
edu-4309	57	53	2019	2019	NUM
edu-4309	57	54	)	)	PUNCT
edu-4309	57	55	.	.	PUNCT
edu-4309	58	1	representation	representation	NOUN
edu-4309	58	2	translation	translation	NOUN
edu-4309	58	3	refers	refer	VERB
edu-4309	58	4	,	,	PUNCT
edu-4309	58	5	in	in	ADP
edu-4309	58	6	this	this	DET
edu-4309	58	7	study	study	NOUN
edu-4309	58	8	,	,	PUNCT
edu-4309	58	9	to	to	ADP
edu-4309	58	10	a	a	DET
edu-4309	58	11	process	process	NOUN
edu-4309	58	12	of	of	ADP
edu-4309	58	13	constructing	construct	VERB
edu-4309	58	14	a	a	DET
edu-4309	58	15	mathematical	mathematical	ADJ
edu-4309	58	16	representation	representation	NOUN
edu-4309	58	17	(	(	PUNCT
edu-4309	58	18	called	call	VERB
edu-4309	58	19	,	,	PUNCT
edu-4309	58	20	target	target	NOUN
edu-4309	58	21	representation	representation	NOUN
edu-4309	58	22	)	)	PUNCT
edu-4309	58	23	from	from	ADP
edu-4309	58	24	given	give	VERB
edu-4309	58	25	representation	representation	NOUN
edu-4309	58	26	(	(	PUNCT
edu-4309	58	27	called	call	VERB
edu-4309	58	28	,	,	PUNCT
edu-4309	58	29	source	source	NOUN
edu-4309	58	30	representation	representation	NOUN
edu-4309	58	31	)	)	PUNCT
edu-4309	58	32	in	in	ADP
edu-4309	58	33	solving	solve	VERB
edu-4309	58	34	mathematical	mathematical	ADJ
edu-4309	58	35	problem	problem	NOUN
edu-4309	58	36	(	(	PUNCT
edu-4309	58	37	adu	adu	ADJ
edu-4309	58	38	-	-	PUNCT
edu-4309	58	39	gyamfi	gyamfi	NOUN
edu-4309	58	40	et	et	PROPN
edu-4309	58	41	al	al	PROPN
edu-4309	58	42	.	.	PROPN
edu-4309	58	43	,	,	PUNCT
edu-4309	58	44	2012	2012	NUM
edu-4309	58	45	;	;	PUNCT
edu-4309	58	46	afriyani	afriyani	NOUN
edu-4309	58	47	,	,	PUNCT
edu-4309	58	48	sa'dijah	sa'dijah	PROPN
edu-4309	58	49	,	,	PUNCT
edu-4309	58	50	&	&	CCONJ
edu-4309	58	51	muksar	muksar	ADJ
edu-4309	58	52	,	,	PUNCT
edu-4309	58	53	2018	2018	NUM
edu-4309	58	54	)	)	PUNCT
edu-4309	58	55	.	.	PUNCT
edu-4309	59	1	the	the	DET
edu-4309	59	2	goal	goal	NOUN
edu-4309	59	3	of	of	ADP
edu-4309	59	4	representation	representation	NOUN
edu-4309	59	5	translation	translation	NOUN
edu-4309	59	6	is	be	AUX
edu-4309	59	7	to	to	PART
edu-4309	59	8	preserve	preserve	VERB
edu-4309	59	9	semantic	semantic	ADJ
edu-4309	59	10	congruence	congruence	NOUN
edu-4309	59	11	between	between	ADP
edu-4309	59	12	two	two	NUM
edu-4309	59	13	mathematical	mathematical	ADJ
edu-4309	59	14	representations	representation	NOUN
edu-4309	59	15	.	.	PUNCT
edu-4309	60	1	1.1	1.1	NUM
edu-4309	60	2	.	.	PUNCT
edu-4309	60	3	representation	representation	NOUN
edu-4309	60	4	translation	translation	NOUN
edu-4309	60	5	the	the	DET
edu-4309	60	6	key	key	ADJ
edu-4309	60	7	competency	competency	NOUN
edu-4309	60	8	for	for	ADP
edu-4309	60	9	meaningful	meaningful	ADJ
edu-4309	60	10	learning	learning	NOUN
edu-4309	60	11	of	of	ADP
edu-4309	60	12	mathematics	mathematic	NOUN
edu-4309	60	13	is	be	AUX
edu-4309	60	14	representational	representational	ADJ
edu-4309	60	15	fluency	fluency	NOUN
edu-4309	60	16	(	(	PUNCT
edu-4309	60	17	rf	rf	NOUN
edu-4309	60	18	)	)	PUNCT
edu-4309	60	19	,	,	PUNCT
edu-4309	60	20	which	which	PRON
edu-4309	60	21	refers	refer	VERB
edu-4309	60	22	to	to	ADP
edu-4309	60	23	the	the	DET
edu-4309	60	24	ability	ability	NOUN
edu-4309	60	25	to	to	PART
edu-4309	60	26	create	create	VERB
edu-4309	60	27	,	,	PUNCT
edu-4309	60	28	interpret	interpret	VERB
edu-4309	60	29	,	,	PUNCT
edu-4309	60	30	translate	translate	VERB
edu-4309	60	31	between	between	ADP
edu-4309	60	32	,	,	PUNCT
edu-4309	60	33	and	and	CCONJ
edu-4309	60	34	connect	connect	VERB
edu-4309	60	35	mrs	mrs	PROPN
edu-4309	60	36	(	(	PUNCT
edu-4309	60	37	fonger	fonger	NOUN
edu-4309	60	38	,	,	PUNCT
edu-4309	60	39	2019	2019	NUM
edu-4309	60	40	)	)	PUNCT
edu-4309	60	41	.	.	PUNCT
edu-4309	61	1	representation	representation	NOUN
edu-4309	61	2	translation	translation	NOUN
edu-4309	61	3	fluency	fluency	NOUN
edu-4309	61	4	(	(	PUNCT
edu-4309	61	5	rtf	rtf	NOUN
edu-4309	61	6	)	)	PUNCT
edu-4309	61	7	is	be	AUX
edu-4309	61	8	one	one	NUM
edu-4309	61	9	component	component	NOUN
edu-4309	61	10	of	of	ADP
edu-4309	61	11	rf	rf	PRON
edu-4309	61	12	that	that	PRON
edu-4309	61	13	is	be	AUX
edu-4309	61	14	considered	consider	VERB
edu-4309	61	15	to	to	PART
edu-4309	61	16	be	be	AUX
edu-4309	61	17	a	a	DET
edu-4309	61	18	foundation	foundation	NOUN
edu-4309	61	19	for	for	ADP
edu-4309	61	20	building	build	VERB
edu-4309	61	21	up	up	ADP
edu-4309	61	22	of	of	ADP
edu-4309	61	23	conceptual	conceptual	ADJ
edu-4309	61	24	understanding	understanding	NOUN
edu-4309	61	25	and	and	CCONJ
edu-4309	61	26	mathematical	mathematical	ADJ
edu-4309	61	27	thinking	thinking	NOUN
edu-4309	61	28	.	.	PUNCT
edu-4309	62	1	students	student	NOUN
edu-4309	62	2	most	most	ADV
edu-4309	62	3	often	often	ADV
edu-4309	62	4	fail	fail	VERB
edu-4309	62	5	to	to	PART
edu-4309	62	6	translate	translate	VERB
edu-4309	62	7	one	one	NUM
edu-4309	62	8	representation	representation	NOUN
edu-4309	62	9	to	to	ADP
edu-4309	62	10	other	other	ADJ
edu-4309	62	11	representation	representation	NOUN
edu-4309	62	12	.	.	PUNCT
edu-4309	63	1	dealing	deal	VERB
edu-4309	63	2	with	with	ADP
edu-4309	63	3	the	the	DET
edu-4309	63	4	representations	representation	NOUN
edu-4309	63	5	without	without	ADP
edu-4309	63	6	connecting	connect	VERB
edu-4309	63	7	and	and	CCONJ
edu-4309	63	8	translating	translating	NOUN
edu-4309	63	9	resulted	result	VERB
edu-4309	63	10	in	in	ADP
edu-4309	63	11	a	a	DET
edu-4309	63	12	fragmented	fragmented	ADJ
edu-4309	63	13	knowledge	knowledge	NOUN
edu-4309	63	14	of	of	ADP
edu-4309	63	15	the	the	DET
edu-4309	63	16	concept	concept	NOUN
edu-4309	63	17	.	.	PUNCT
edu-4309	64	1	many	many	ADJ
edu-4309	64	2	researchers	researcher	NOUN
edu-4309	64	3	reported	report	VERB
edu-4309	64	4	that	that	SCONJ
edu-4309	64	5	students	student	NOUN
edu-4309	64	6	perennially	perennially	ADV
edu-4309	64	7	demonstrate	demonstrate	VERB
edu-4309	64	8	difficulty	difficulty	NOUN
edu-4309	64	9	in	in	ADP
edu-4309	64	10	correctly	correctly	ADV
edu-4309	64	11	accomplish	accomplish	VERB
edu-4309	64	12	the	the	DET
edu-4309	64	13	translation	translation	NOUN
edu-4309	64	14	tasks	task	NOUN
edu-4309	64	15	(	(	PUNCT
edu-4309	64	16	adu	adu	ADJ
edu-4309	64	17	-	-	PUNCT
edu-4309	64	18	gyamfi	gyamfi	NOUN
edu-4309	64	19	et	et	PROPN
edu-4309	64	20	al	al	PROPN
edu-4309	64	21	.	.	PROPN
edu-4309	64	22	,	,	PUNCT
edu-4309	64	23	2012	2012	NUM
edu-4309	64	24	;	;	PUNCT
edu-4309	64	25	afriyani	afriyani	NOUN
edu-4309	64	26	et	et	PROPN
edu-4309	64	27	al	al	PROPN
edu-4309	64	28	.	.	PROPN
edu-4309	64	29	,	,	PUNCT
edu-4309	64	30	2018	2018	NUM
edu-4309	64	31	;	;	PUNCT
edu-4309	64	32	bossé	bossé	NOUN
edu-4309	64	33	,	,	PUNCT
edu-4309	64	34	adu	adu	ADJ
edu-4309	64	35	-	-	PUNCT
edu-4309	64	36	gyamfi	gyamfi	NOUN
edu-4309	64	37	,	,	PUNCT
edu-4309	64	38	&	&	CCONJ
edu-4309	64	39	cheetham	cheetham	PROPN
edu-4309	64	40	,	,	PUNCT
edu-4309	64	41	2011	2011	NUM
edu-4309	64	42	;	;	PUNCT
edu-4309	64	43	rahmawati	rahmawati	NOUN
edu-4309	64	44	,	,	PUNCT
edu-4309	64	45	hidayanto	hidayanto	NOUN
edu-4309	64	46	,	,	PUNCT
edu-4309	64	47	&	&	CCONJ
edu-4309	64	48	anwar	anwar	PROPN
edu-4309	64	49	,	,	PUNCT
edu-4309	64	50	2017	2017	NUM
edu-4309	64	51	)	)	PUNCT
edu-4309	64	52	.	.	PUNCT
edu-4309	65	1	numerous	numerous	ADJ
edu-4309	65	2	factors	factor	NOUN
edu-4309	65	3	interact	interact	VERB
edu-4309	65	4	to	to	PART
edu-4309	65	5	make	make	VERB
edu-4309	65	6	some	some	DET
edu-4309	65	7	translations	translation	NOUN
edu-4309	65	8	more	more	ADV
edu-4309	65	9	difficult	difficult	ADJ
edu-4309	65	10	than	than	ADP
edu-4309	65	11	others	other	NOUN
edu-4309	65	12	.	.	PUNCT
edu-4309	66	1	a	a	DET
edu-4309	66	2	widespread	widespread	NOUN
edu-4309	66	3	of	of	ADP
edu-4309	66	4	research	research	NOUN
edu-4309	66	5	results	result	NOUN
edu-4309	66	6	with	with	ADP
edu-4309	66	7	the	the	DET
edu-4309	66	8	courses	course	NOUN
edu-4309	66	9	ranging	range	VERB
edu-4309	66	10	from	from	ADP
edu-4309	66	11	algebra	algebra	NOUN
edu-4309	66	12	to	to	ADP
edu-4309	66	13	calculus	calculus	NOUN
edu-4309	66	14	indicate	indicate	VERB
edu-4309	66	15	that	that	SCONJ
edu-4309	66	16	there	there	PRON
edu-4309	66	17	is	be	VERB
edu-4309	66	18	a	a	DET
edu-4309	66	19	lost	lose	VERB
edu-4309	66	20	in	in	ADP
edu-4309	66	21	translation	translation	NOUN
edu-4309	66	22	when	when	SCONJ
edu-4309	66	23	attempting	attempt	VERB
edu-4309	66	24	to	to	PART
edu-4309	66	25	go	go	VERB
edu-4309	66	26	from	from	ADP
edu-4309	66	27	one	one	NUM
edu-4309	66	28	representation	representation	NOUN
edu-4309	66	29	of	of	ADP
edu-4309	66	30	a	a	DET
edu-4309	66	31	mathematical	mathematical	ADJ
edu-4309	66	32	situation	situation	NOUN
edu-4309	66	33	or	or	CCONJ
edu-4309	66	34	relationship	relationship	NOUN
edu-4309	66	35	to	to	ADP
edu-4309	66	36	another	another	DET
edu-4309	66	37	(	(	PUNCT
edu-4309	66	38	adu	adu	ADJ
edu-4309	66	39	-	-	PUNCT
edu-4309	66	40	gyamfi	gyamfi	NOUN
edu-4309	66	41	et	et	PROPN
edu-4309	66	42	al	al	PROPN
edu-4309	66	43	.	.	PROPN
edu-4309	66	44	,	,	PUNCT
edu-4309	66	45	2012	2012	NUM
edu-4309	66	46	;	;	PUNCT
edu-4309	66	47	duval	duval	NOUN
edu-4309	66	48	,	,	PUNCT
edu-4309	66	49	2006	2006	NUM
edu-4309	66	50	)	)	PUNCT
edu-4309	66	51	.	.	PUNCT
edu-4309	67	1	the	the	DET
edu-4309	67	2	degree	degree	NOUN
edu-4309	67	3	of	of	ADP
edu-4309	67	4	difficulty	difficulty	NOUN
edu-4309	67	5	is	be	AUX
edu-4309	67	6	categorized	categorize	VERB
edu-4309	67	7	into	into	ADP
edu-4309	67	8	student	student	NOUN
edu-4309	67	9	-	-	PUNCT
edu-4309	67	10	centered	center	VERB
edu-4309	67	11	factors	factor	NOUN
edu-4309	67	12	and	and	CCONJ
edu-4309	67	13	content	content	NOUN
edu-4309	67	14	centered	center	VERB
edu-4309	67	15	factors	factor	NOUN
edu-4309	67	16	.	.	PUNCT
edu-4309	68	1	student	student	NOUN
edu-4309	68	2	-	-	PUNCT
edu-4309	68	3	centered	center	VERB
edu-4309	68	4	factors	factor	NOUN
edu-4309	68	5	are	be	AUX
edu-4309	68	6	including	include	VERB
edu-4309	68	7	:	:	PUNCT
edu-4309	68	8	the	the	DET
edu-4309	68	9	translation	translation	NOUN
edu-4309	68	10	action	action	NOUN
edu-4309	68	11	,	,	PUNCT
edu-4309	68	12	dual	dual	ADJ
edu-4309	68	13	translation	translation	NOUN
edu-4309	68	14	(	(	PUNCT
edu-4309	68	15	through	through	ADP
edu-4309	68	16	intermediate	intermediate	ADJ
edu-4309	68	17	translation	translation	NOUN
edu-4309	68	18	)	)	PUNCT
edu-4309	68	19	and	and	CCONJ
edu-4309	68	20	classroom	classroom	NOUN
edu-4309	68	21	experience	experience	NOUN
edu-4309	68	22	.	.	PUNCT
edu-4309	69	1	the	the	DET
edu-4309	69	2	factors	factor	NOUN
edu-4309	69	3	related	relate	VERB
edu-4309	69	4	to	to	ADP
edu-4309	69	5	the	the	DET
edu-4309	69	6	representation	representation	NOUN
edu-4309	69	7	type	type	NOUN
edu-4309	69	8	include	include	VERB
edu-4309	69	9	:	:	PUNCT
edu-4309	69	10	different	different	ADJ
edu-4309	69	11	representation	representation	NOUN
edu-4309	69	12	types	type	NOUN
edu-4309	69	13	required	require	VERB
edu-4309	69	14	different	different	ADJ
edu-4309	69	15	interpretation	interpretation	NOUN
edu-4309	69	16	techniques	technique	NOUN
edu-4309	69	17	(	(	PUNCT
edu-4309	69	18	like	like	ADP
edu-4309	69	19	local	local	ADJ
edu-4309	69	20	versus	versus	ADP
edu-4309	69	21	global	global	ADJ
edu-4309	69	22	,	,	PUNCT
edu-4309	69	23	or	or	CCONJ
edu-4309	69	24	syntactic	syntactic	ADJ
edu-4309	69	25	versus	versus	ADP
edu-4309	69	26	semantic	semantic	ADJ
edu-4309	69	27	)	)	PUNCT
edu-4309	69	28	,	,	PUNCT
edu-4309	69	29	some	some	DET
edu-4309	69	30	translation	translation	NOUN
edu-4309	69	31	are	be	AUX
edu-4309	69	32	inherently	inherently	ADV
edu-4309	69	33	more	more	ADV
edu-4309	69	34	complex	complex	ADJ
edu-4309	69	35	,	,	PUNCT
edu-4309	69	36	and	and	CCONJ
edu-4309	69	37	some	some	PRON
edu-4309	69	38	require	require	VERB
edu-4309	69	39	greater	great	ADJ
edu-4309	69	40	number	number	NOUN
edu-4309	69	41	of	of	ADP
edu-4309	69	42	steps	step	NOUN
edu-4309	69	43	to	to	PART
edu-4309	69	44	accomplish	accomplish	VERB
edu-4309	69	45	(	(	PUNCT
edu-4309	69	46	rahmawati	rahmawati	NOUN
edu-4309	69	47	et	et	PROPN
edu-4309	69	48	al	al	PROPN
edu-4309	69	49	.	.	PROPN
edu-4309	69	50	,	,	PUNCT
edu-4309	69	51	2017	2017	NUM
edu-4309	69	52	)	)	PUNCT
edu-4309	69	53	.	.	PUNCT
edu-4309	70	1	the	the	DET
edu-4309	70	2	number	number	NOUN
edu-4309	70	3	of	of	ADP
edu-4309	70	4	fact	fact	NOUN
edu-4309	70	5	gaps	gap	NOUN
edu-4309	70	6	associated	associate	VERB
edu-4309	70	7	with	with	ADP
edu-4309	70	8	either	either	CCONJ
edu-4309	70	9	the	the	DET
edu-4309	70	10	source	source	NOUN
edu-4309	70	11	or	or	CCONJ
edu-4309	70	12	target	target	NOUN
edu-4309	70	13	representation	representation	NOUN
edu-4309	70	14	involved	involve	VERB
edu-4309	70	15	in	in	ADP
edu-4309	70	16	a	a	DET
edu-4309	70	17	translation	translation	NOUN
edu-4309	70	18	may	may	AUX
edu-4309	70	19	speak	speak	VERB
edu-4309	70	20	to	to	ADP
edu-4309	70	21	the	the	DET
edu-4309	70	22	difficulty	difficulty	NOUN
edu-4309	70	23	of	of	ADP
edu-4309	70	24	the	the	DET
edu-4309	70	25	translation	translation	NOUN
edu-4309	70	26	(	(	PUNCT
edu-4309	70	27	adu	adu	ADJ
edu-4309	70	28	-	-	PUNCT
edu-4309	70	29	gyamfi	gyamfi	NOUN
edu-4309	70	30	et	et	PROPN
edu-4309	70	31	al	al	PROPN
edu-4309	70	32	.	.	PROPN
edu-4309	70	33	,	,	PUNCT
edu-4309	70	34	2012	2012	NUM
edu-4309	70	35	;	;	PUNCT
edu-4309	70	36	bossé	bossé	NOUN
edu-4309	70	37	et	et	PROPN
edu-4309	70	38	al	al	PROPN
edu-4309	70	39	.	.	PROPN
edu-4309	70	40	,	,	PUNCT
edu-4309	70	41	2011	2011	NUM
edu-4309	70	42	)	)	PUNCT
edu-4309	70	43	.	.	PUNCT
edu-4309	71	1	any	any	DET
edu-4309	71	2	conventional	conventional	ADJ
edu-4309	71	3	mathematical	mathematical	ADJ
edu-4309	71	4	representation	representation	NOUN
edu-4309	71	5	is	be	AUX
edu-4309	71	6	identified	identify	VERB
edu-4309	71	7	by	by	ADP
edu-4309	71	8	its	its	PRON
edu-4309	71	9	characters	character	NOUN
edu-4309	71	10	,	,	PUNCT
edu-4309	71	11	configurations	configuration	NOUN
edu-4309	71	12	,	,	PUNCT
edu-4309	71	13	syntactic	syntactic	ADJ
edu-4309	71	14	and	and	CCONJ
edu-4309	71	15	semantic	semantic	ADJ
edu-4309	71	16	rules	rule	NOUN
edu-4309	71	17	in	in	ADP
edu-4309	71	18	order	order	NOUN
edu-4309	71	19	to	to	PART
edu-4309	71	20	be	be	AUX
edu-4309	71	21	communicable	communicable	ADJ
edu-4309	71	22	in	in	ADP
edu-4309	71	23	the	the	DET
edu-4309	71	24	disciplinary	disciplinary	ADJ
edu-4309	71	25	discourse	discourse	NOUN
edu-4309	71	26	.	.	PUNCT
edu-4309	72	1	in	in	ADP
edu-4309	72	2	the	the	DET
edu-4309	72	3	process	process	NOUN
edu-4309	72	4	of	of	ADP
edu-4309	72	5	translation	translation	NOUN
edu-4309	72	6	,	,	PUNCT
edu-4309	72	7	two	two	NUM
edu-4309	72	8	types	type	NOUN
edu-4309	72	9	of	of	ADP
edu-4309	72	10	representations	representation	NOUN
edu-4309	72	11	are	be	AUX
edu-4309	72	12	involved	involve	VERB
edu-4309	72	13	,	,	PUNCT
edu-4309	72	14	source	source	NOUN
edu-4309	72	15	and	and	CCONJ
edu-4309	72	16	target	target	NOUN
edu-4309	72	17	representations	representation	NOUN
edu-4309	72	18	.	.	PUNCT
edu-4309	73	1	in	in	ADP
edu-4309	73	2	this	this	DET
edu-4309	73	3	process	process	NOUN
edu-4309	73	4	,	,	PUNCT
edu-4309	73	5	semantic	semantic	ADJ
edu-4309	73	6	congruence	congruence	NOUN
edu-4309	73	7	must	must	AUX
edu-4309	73	8	be	be	AUX
edu-4309	73	9	preserved	preserve	VERB
edu-4309	73	10	without	without	ADP
edu-4309	73	11	loss	loss	NOUN
edu-4309	73	12	of	of	ADP
edu-4309	73	13	information	information	NOUN
edu-4309	73	14	while	while	SCONJ
edu-4309	73	15	mapping	map	VERB
edu-4309	73	16	the	the	DET
edu-4309	73	17	source	source	NOUN
edu-4309	73	18	to	to	ADP
edu-4309	73	19	the	the	DET
edu-4309	73	20	target	target	NOUN
edu-4309	73	21	representation	representation	NOUN
edu-4309	73	22	.	.	PUNCT
edu-4309	74	1	to	to	PART
edu-4309	74	2	do	do	VERB
edu-4309	74	3	so	so	ADV
edu-4309	74	4	,	,	PUNCT
edu-4309	74	5	learners	learner	NOUN
edu-4309	74	6	must	must	AUX
edu-4309	74	7	unpack	unpack	VERB
edu-4309	74	8	the	the	DET
edu-4309	74	9	densely	densely	ADV
edu-4309	74	10	packed	pack	VERB
edu-4309	74	11	micro	micro	NOUN
edu-4309	74	12	-	-	NOUN
edu-4309	74	13	concepts	concept	NOUN
edu-4309	74	14	embedded	embed	VERB
edu-4309	74	15	in	in	ADP
edu-4309	74	16	the	the	DET
edu-4309	74	17	source	source	NOUN
edu-4309	74	18	representation	representation	NOUN
edu-4309	74	19	to	to	PART
edu-4309	74	20	recombine	recombine	VERB
edu-4309	74	21	in	in	ADP
edu-4309	74	22	constructing	construct	VERB
edu-4309	74	23	the	the	DET
edu-4309	74	24	target	target	NOUN
edu-4309	74	25	representation	representation	NOUN
edu-4309	74	26	(	(	PUNCT
edu-4309	74	27	duval	duval	NOUN
edu-4309	74	28	,	,	PUNCT
edu-4309	74	29	2006	2006	NUM
edu-4309	74	30	)	)	PUNCT
edu-4309	74	31	.	.	PUNCT
edu-4309	75	1	this	this	PRON
edu-4309	75	2	is	be	AUX
edu-4309	75	3	in	in	ADP
edu-4309	75	4	contrast	contrast	NOUN
edu-4309	75	5	to	to	ADP
edu-4309	75	6	the	the	DET
edu-4309	75	7	black	black	PROPN
edu-4309	75	8	box	box	PROPN
edu-4309	75	9	,	,	PUNCT
edu-4309	75	10	which	which	PRON
edu-4309	75	11	concerns	concern	VERB
edu-4309	75	12	with	with	ADP
edu-4309	75	13	the	the	DET
edu-4309	75	14	source	source	NOUN
edu-4309	75	15	and	and	CCONJ
edu-4309	75	16	target	target	VERB
edu-4309	75	17	representations	representation	NOUN
edu-4309	75	18	ignoring	ignore	VERB
edu-4309	75	19	the	the	DET
edu-4309	75	20	process	process	NOUN
edu-4309	75	21	.	.	PUNCT
edu-4309	76	1	asian	asian	ADJ
edu-4309	76	2	journal	journal	PROPN
edu-4309	76	3	of	of	ADP
edu-4309	76	4	education	education	NOUN
edu-4309	76	5	and	and	CCONJ
edu-4309	76	6	training	training	NOUN
edu-4309	76	7	,	,	PUNCT
edu-4309	76	8	2022	2022	NUM
edu-4309	76	9	,	,	PUNCT
edu-4309	76	10	8(4	8(4	NUM
edu-4309	76	11	):	):	PUNCT
edu-4309	76	12	121	121	NUM
edu-4309	76	13	-	-	SYM
edu-4309	76	14	130	130	NUM
edu-4309	76	15	123	123	NUM
edu-4309	76	16	©	©	PROPN
edu-4309	76	17	2022	2022	NUM
edu-4309	76	18	by	by	ADP
edu-4309	76	19	the	the	DET
edu-4309	76	20	authors	author	NOUN
edu-4309	76	21	;	;	PUNCT
edu-4309	76	22	licensee	licensee	PROPN
edu-4309	76	23	asian	asian	ADJ
edu-4309	76	24	online	online	PROPN
edu-4309	76	25	journal	journal	PROPN
edu-4309	76	26	publishing	publishing	NOUN
edu-4309	76	27	group	group	NOUN
edu-4309	76	28	figure	figure	NOUN
edu-4309	76	29	1	1	NUM
edu-4309	76	30	.	.	PUNCT
edu-4309	76	31	unpacking	unpack	VERB
edu-4309	76	32	the	the	DET
edu-4309	76	33	source	source	NOUN
edu-4309	76	34	representation	representation	NOUN
edu-4309	76	35	(	(	PUNCT
edu-4309	76	36	bossé	bossé	NOUN
edu-4309	76	37	,	,	PUNCT
edu-4309	76	38	adu	adu	ADJ
edu-4309	76	39	-	-	PUNCT
edu-4309	76	40	gyamfi	gyamfi	NOUN
edu-4309	76	41	,	,	PUNCT
edu-4309	76	42	&	&	CCONJ
edu-4309	76	43	chandler	chandler	PROPN
edu-4309	76	44	,	,	PUNCT
edu-4309	76	45	2014	2014	NUM
edu-4309	76	46	)	)	PUNCT
edu-4309	76	47	.	.	PUNCT
edu-4309	77	1	all	all	PRON
edu-4309	77	2	of	of	ADP
edu-4309	77	3	the	the	DET
edu-4309	77	4	micro	micro	NOUN
edu-4309	77	5	-	-	NOUN
edu-4309	77	6	concepts	concept	NOUN
edu-4309	77	7	packed	pack	VERB
edu-4309	77	8	in	in	ADP
edu-4309	77	9	the	the	DET
edu-4309	77	10	source	source	NOUN
edu-4309	77	11	representation	representation	NOUN
edu-4309	77	12	are	be	AUX
edu-4309	77	13	not	not	PART
edu-4309	77	14	helpful	helpful	ADJ
edu-4309	77	15	to	to	PART
edu-4309	77	16	construct	construct	VERB
edu-4309	77	17	the	the	DET
edu-4309	77	18	target	target	NOUN
edu-4309	77	19	representation	representation	NOUN
edu-4309	77	20	.	.	PUNCT
edu-4309	78	1	some	some	DET
edu-4309	78	2	basic	basic	ADJ
edu-4309	78	3	information	information	NOUN
edu-4309	78	4	or	or	CCONJ
edu-4309	78	5	concepts	concept	NOUN
edu-4309	78	6	from	from	ADP
edu-4309	78	7	the	the	DET
edu-4309	78	8	source	source	NOUN
edu-4309	78	9	representation	representation	NOUN
edu-4309	78	10	are	be	AUX
edu-4309	78	11	required	require	VERB
edu-4309	78	12	that	that	DET
edu-4309	78	13	guide	guide	NOUN
edu-4309	78	14	to	to	PART
edu-4309	78	15	construct	construct	VERB
edu-4309	78	16	congruent	congruent	ADJ
edu-4309	78	17	target	target	NOUN
edu-4309	78	18	representation	representation	NOUN
edu-4309	78	19	.	.	PUNCT
edu-4309	79	1	figure	figure	NOUN
edu-4309	79	2	1	1	NUM
edu-4309	79	3	,	,	PUNCT
edu-4309	79	4	illustrates	illustrate	VERB
edu-4309	79	5	that	that	SCONJ
edu-4309	79	6	the	the	DET
edu-4309	79	7	densely	densely	ADV
edu-4309	79	8	packed	pack	VERB
edu-4309	79	9	micro	micro	NOUN
edu-4309	79	10	-	-	NOUN
edu-4309	79	11	concepts	concept	NOUN
edu-4309	79	12	(	(	PUNCT
edu-4309	79	13	a	a	DET
edu-4309	79	14	-	-	PUNCT
edu-4309	79	15	o	o	NOUN
edu-4309	79	16	)	)	PUNCT
edu-4309	79	17	in	in	ADP
edu-4309	79	18	the	the	DET
edu-4309	79	19	source	source	NOUN
edu-4309	79	20	representation	representation	NOUN
edu-4309	79	21	are	be	AUX
edu-4309	79	22	unpacked	unpack	VERB
edu-4309	79	23	and	and	CCONJ
edu-4309	79	24	some	some	PRON
edu-4309	79	25	(	(	PUNCT
edu-4309	79	26	m	m	NOUN
edu-4309	79	27	-	-	NOUN
edu-4309	79	28	o	o	NOUN
edu-4309	79	29	)	)	PUNCT
edu-4309	79	30	may	may	AUX
edu-4309	79	31	immediately	immediately	ADV
edu-4309	79	32	be	be	AUX
edu-4309	79	33	discarded	discard	VERB
edu-4309	79	34	as	as	ADP
edu-4309	79	35	unnecessary	unnecessary	ADJ
edu-4309	79	36	and	and	CCONJ
edu-4309	79	37	others	other	NOUN
edu-4309	79	38	may	may	AUX
edu-4309	79	39	be	be	AUX
edu-4309	79	40	overlooked	overlook	VERB
edu-4309	79	41	or	or	CCONJ
edu-4309	79	42	not	not	PART
edu-4309	79	43	fully	fully	ADV
edu-4309	79	44	recognized	recognize	VERB
edu-4309	79	45	.	.	PUNCT
edu-4309	80	1	through	through	ADP
edu-4309	80	2	investigating	investigate	VERB
edu-4309	80	3	and	and	CCONJ
edu-4309	80	4	interacting	interact	VERB
edu-4309	80	5	with	with	ADP
edu-4309	80	6	the	the	DET
edu-4309	80	7	micro	micro	ADJ
edu-4309	80	8	concepts	concept	NOUN
edu-4309	80	9	of	of	ADP
edu-4309	80	10	a	a	DET
edu-4309	80	11	representation	representation	NOUN
edu-4309	80	12	,	,	PUNCT
edu-4309	80	13	the	the	DET
edu-4309	80	14	learner	learner	NOUN
edu-4309	80	15	decodes	decode	VERB
edu-4309	80	16	mathematical	mathematical	ADJ
edu-4309	80	17	ideas	idea	NOUN
edu-4309	80	18	(	(	PUNCT
edu-4309	80	19	a	a	DET
edu-4309	80	20	,	,	PUNCT
edu-4309	80	21	b	b	NOUN
edu-4309	80	22	,	,	PUNCT
edu-4309	80	23	and	and	CCONJ
edu-4309	80	24	c	c	X
edu-4309	80	25	)	)	PUNCT
edu-4309	80	26	which	which	PRON
edu-4309	80	27	were	be	AUX
edu-4309	80	28	captured	capture	VERB
edu-4309	80	29	in	in	ADP
edu-4309	80	30	the	the	DET
edu-4309	80	31	source	source	NOUN
edu-4309	80	32	representation	representation	NOUN
edu-4309	80	33	(	(	PUNCT
edu-4309	80	34	bossé	bossé	NOUN
edu-4309	80	35	et	et	NOUN
edu-4309	80	36	al	al	PROPN
edu-4309	80	37	.	.	PROPN
edu-4309	80	38	,	,	PUNCT
edu-4309	80	39	2014	2014	NUM
edu-4309	80	40	)	)	PUNCT
edu-4309	80	41	.	.	PUNCT
edu-4309	81	1	for	for	ADP
edu-4309	81	2	instance	instance	NOUN
edu-4309	81	3	,	,	PUNCT
edu-4309	81	4	the	the	DET
edu-4309	81	5	basic	basic	ADJ
edu-4309	81	6	concepts	concept	NOUN
edu-4309	81	7	required	require	VERB
edu-4309	81	8	for	for	ADP
edu-4309	81	9	sketching	sketch	VERB
edu-4309	81	10	a	a	DET
edu-4309	81	11	perfect	perfect	ADJ
edu-4309	81	12	graph	graph	NOUN
edu-4309	81	13	representation	representation	NOUN
edu-4309	81	14	of	of	ADP
edu-4309	81	15	a	a	DET
edu-4309	81	16	function	function	NOUN
edu-4309	81	17	from	from	ADP
edu-4309	81	18	its	its	PRON
edu-4309	81	19	algebraic	algebraic	ADJ
edu-4309	81	20	representation	representation	NOUN
edu-4309	81	21	,	,	PUNCT
edu-4309	81	22	more	more	ADJ
edu-4309	81	23	or	or	CCONJ
edu-4309	81	24	less	less	ADJ
edu-4309	81	25	,	,	PUNCT
edu-4309	81	26	are	be	AUX
edu-4309	81	27	:	:	PUNCT
edu-4309	81	28	domain	domain	NOUN
edu-4309	81	29	,	,	PUNCT
edu-4309	81	30	intercepts	intercept	NOUN
edu-4309	81	31	,	,	PUNCT
edu-4309	81	32	symmetricity	symmetricity	NOUN
edu-4309	81	33	,	,	PUNCT
edu-4309	81	34	asymptotes	asymptote	NOUN
edu-4309	81	35	,	,	PUNCT
edu-4309	81	36	intervals	interval	NOUN
edu-4309	81	37	of	of	ADP
edu-4309	81	38	monotonicity	monotonicity	NOUN
edu-4309	81	39	,	,	PUNCT
edu-4309	81	40	extreme	extreme	ADJ
edu-4309	81	41	points	point	NOUN
edu-4309	81	42	,	,	PUNCT
edu-4309	81	43	intervals	interval	NOUN
edu-4309	81	44	of	of	ADP
edu-4309	81	45	concavity	concavity	NOUN
edu-4309	81	46	,	,	PUNCT
edu-4309	81	47	inflection	inflection	NOUN
edu-4309	81	48	points	point	NOUN
edu-4309	81	49	,	,	PUNCT
edu-4309	81	50	behavior	behavior	NOUN
edu-4309	81	51	of	of	ADP
edu-4309	81	52	the	the	DET
edu-4309	81	53	function	function	NOUN
edu-4309	81	54	at	at	ADP
edu-4309	81	55	infinity	infinity	NOUN
edu-4309	81	56	.	.	PUNCT
edu-4309	82	1	adu	adu	ADJ
edu-4309	82	2	-	-	PUNCT
edu-4309	82	3	gyamfi	gyamfi	PROPN
edu-4309	82	4	et	et	PROPN
edu-4309	82	5	al	al	PROPN
edu-4309	82	6	.	.	PROPN
edu-4309	82	7	(	(	PUNCT
edu-4309	82	8	2012	2012	NUM
edu-4309	82	9	)	)	PUNCT
edu-4309	82	10	identified	identify	VERB
edu-4309	82	11	three	three	NUM
edu-4309	82	12	types	type	NOUN
edu-4309	82	13	of	of	ADP
edu-4309	82	14	translation	translation	NOUN
edu-4309	82	15	errors	error	NOUN
edu-4309	82	16	:	:	PUNCT
edu-4309	82	17	•	•	NUM
edu-4309	82	18	implementation	implementation	NOUN
edu-4309	82	19	errorsteps	errorstep	NOUN
edu-4309	82	20	in	in	ADP
edu-4309	82	21	an	an	DET
edu-4309	82	22	algorithm	algorithm	NOUN
edu-4309	82	23	are	be	AUX
edu-4309	82	24	incorrectly	incorrectly	ADV
edu-4309	82	25	executed	execute	VERB
edu-4309	82	26	.	.	PUNCT
edu-4309	83	1	•	•	NUM
edu-4309	83	2	interpretation	interpretation	NOUN
edu-4309	83	3	errorincorrectly	errorincorrectly	ADV
edu-4309	83	4	characterized	characterize	VERB
edu-4309	83	5	the	the	DET
edu-4309	83	6	properties	property	NOUN
edu-4309	83	7	of	of	ADP
edu-4309	83	8	either	either	CCONJ
edu-4309	83	9	the	the	DET
edu-4309	83	10	source	source	NOUN
edu-4309	83	11	or	or	CCONJ
edu-4309	83	12	the	the	DET
edu-4309	83	13	target	target	NOUN
edu-4309	83	14	representation	representation	NOUN
edu-4309	83	15	.	.	PUNCT
edu-4309	84	1	•	•	NUM
edu-4309	84	2	preservation	preservation	NOUN
edu-4309	84	3	error	error	NOUN
edu-4309	84	4	–	–	PUNCT
edu-4309	84	5	attributes	attribute	NOUN
edu-4309	84	6	of	of	ADP
edu-4309	84	7	the	the	DET
edu-4309	84	8	source	source	NOUN
edu-4309	84	9	representation	representation	NOUN
edu-4309	84	10	are	be	AUX
edu-4309	84	11	not	not	PART
edu-4309	84	12	properly	properly	ADV
edu-4309	84	13	coded	code	VERB
edu-4309	84	14	in	in	ADP
edu-4309	84	15	the	the	DET
edu-4309	84	16	target	target	NOUN
edu-4309	84	17	representation	representation	NOUN
edu-4309	84	18	.	.	PUNCT
edu-4309	85	1	2	2	X
edu-4309	85	2	.	.	X
edu-4309	85	3	statement	statement	NOUN
edu-4309	85	4	of	of	ADP
edu-4309	85	5	the	the	DET
edu-4309	85	6	problem	problem	NOUN
edu-4309	85	7	in	in	ADP
edu-4309	85	8	the	the	DET
edu-4309	85	9	availability	availability	NOUN
edu-4309	85	10	of	of	ADP
edu-4309	85	11	mrs	mrs	PROPN
edu-4309	85	12	,	,	PUNCT
edu-4309	85	13	it	it	PRON
edu-4309	85	14	is	be	AUX
edu-4309	85	15	a	a	DET
edu-4309	85	16	fact	fact	NOUN
edu-4309	85	17	that	that	SCONJ
edu-4309	85	18	there	there	PRON
edu-4309	85	19	is	be	VERB
edu-4309	85	20	an	an	DET
edu-4309	85	21	urge	urge	NOUN
edu-4309	85	22	to	to	PART
edu-4309	85	23	prefer	prefer	VERB
edu-4309	85	24	,	,	PUNCT
edu-4309	85	25	translate	translate	VERB
edu-4309	85	26	,	,	PUNCT
edu-4309	85	27	implement	implement	VERB
edu-4309	85	28	and	and	CCONJ
edu-4309	85	29	interpret	interpret	VERB
edu-4309	85	30	representations	representation	NOUN
edu-4309	85	31	(	(	PUNCT
edu-4309	85	32	ainsworth	ainsworth	NOUN
edu-4309	85	33	,	,	PUNCT
edu-4309	85	34	2006	2006	NUM
edu-4309	85	35	)	)	PUNCT
edu-4309	85	36	.	.	PUNCT
edu-4309	86	1	however	however	ADV
edu-4309	86	2	,	,	PUNCT
edu-4309	86	3	students	student	NOUN
edu-4309	86	4	often	often	ADV
edu-4309	86	5	fail	fail	VERB
edu-4309	86	6	to	to	PART
edu-4309	86	7	do	do	VERB
edu-4309	86	8	so	so	ADV
edu-4309	86	9	due	due	ADP
edu-4309	86	10	to	to	ADP
edu-4309	86	11	lack	lack	NOUN
edu-4309	86	12	of	of	ADP
edu-4309	86	13	rf	rf	ADJ
edu-4309	86	14	(	(	PUNCT
edu-4309	86	15	rahmawati	rahmawati	NOUN
edu-4309	86	16	,	,	PUNCT
edu-4309	86	17	2019	2019	NUM
edu-4309	86	18	)	)	PUNCT
edu-4309	86	19	.	.	PUNCT
edu-4309	87	1	students	student	NOUN
edu-4309	87	2	also	also	ADV
edu-4309	87	3	lack	lack	VERB
edu-4309	87	4	to	to	PART
edu-4309	87	5	relate	relate	VERB
edu-4309	87	6	and	and	CCONJ
edu-4309	87	7	translate	translate	VERB
edu-4309	87	8	the	the	DET
edu-4309	87	9	representation	representation	NOUN
edu-4309	87	10	with	with	ADP
edu-4309	87	11	the	the	DET
edu-4309	87	12	underline	underline	ADJ
edu-4309	87	13	mathematical	mathematical	ADJ
edu-4309	87	14	concept	concept	NOUN
edu-4309	87	15	(	(	PUNCT
edu-4309	87	16	samsuddin	samsuddin	NOUN
edu-4309	87	17	&	&	CCONJ
edu-4309	87	18	retnawati	retnawati	NOUN
edu-4309	87	19	,	,	PUNCT
edu-4309	87	20	2018	2018	NUM
edu-4309	87	21	)	)	PUNCT
edu-4309	87	22	.	.	PUNCT
edu-4309	88	1	fonger	fonger	PROPN
edu-4309	88	2	,	,	PUNCT
edu-4309	88	3	davis	davis	PROPN
edu-4309	88	4	,	,	PUNCT
edu-4309	88	5	and	and	CCONJ
edu-4309	88	6	rohwer	rohwer	NOUN
edu-4309	88	7	(	(	PUNCT
edu-4309	88	8	2018	2018	NUM
edu-4309	88	9	)	)	PUNCT
edu-4309	88	10	in	in	ADP
edu-4309	88	11	turn	turn	NOUN
edu-4309	88	12	,	,	PUNCT
edu-4309	88	13	reported	report	VERB
edu-4309	88	14	that	that	SCONJ
edu-4309	88	15	instructional	instructional	ADJ
edu-4309	88	16	support	support	NOUN
edu-4309	88	17	enabled	enable	VERB
edu-4309	88	18	student	student	NOUN
edu-4309	88	19	to	to	PART
edu-4309	88	20	enhance	enhance	VERB
edu-4309	88	21	rf	rf	NOUN
edu-4309	88	22	.	.	PUNCT
edu-4309	89	1	students	student	NOUN
edu-4309	89	2	have	have	VERB
edu-4309	89	3	a	a	DET
edu-4309	89	4	huge	huge	ADJ
edu-4309	89	5	gap	gap	NOUN
edu-4309	89	6	in	in	ADP
edu-4309	89	7	flexible	flexible	ADJ
edu-4309	89	8	implementation	implementation	NOUN
edu-4309	89	9	of	of	ADP
edu-4309	89	10	mrs	mrs	PROPN
edu-4309	89	11	during	during	ADP
edu-4309	89	12	problem	problem	NOUN
edu-4309	89	13	solving	solve	VERB
edu-4309	89	14	and	and	CCONJ
edu-4309	89	15	bridging	bridge	VERB
edu-4309	89	16	them	they	PRON
edu-4309	89	17	through	through	ADP
edu-4309	89	18	translation	translation	NOUN
edu-4309	89	19	(	(	PUNCT
edu-4309	89	20	adu	adu	ADJ
edu-4309	89	21	-	-	PUNCT
edu-4309	89	22	gyamfi	gyamfi	NOUN
edu-4309	89	23	et	et	PROPN
edu-4309	89	24	al	al	PROPN
edu-4309	89	25	.	.	PROPN
edu-4309	89	26	,	,	PUNCT
edu-4309	89	27	2012	2012	NUM
edu-4309	89	28	)	)	PUNCT
edu-4309	89	29	.	.	PUNCT
edu-4309	90	1	van	van	NOUN
edu-4309	90	2	meter	meter	NOUN
edu-4309	90	3	,	,	PUNCT
edu-4309	90	4	list	list	NOUN
edu-4309	90	5	,	,	PUNCT
edu-4309	90	6	lombardi	lombardi	NOUN
edu-4309	90	7	,	,	PUNCT
edu-4309	90	8	and	and	CCONJ
edu-4309	90	9	kendeou	kendeou	PROPN
edu-4309	90	10	(	(	PUNCT
edu-4309	90	11	2020	2020	NUM
edu-4309	90	12	)	)	PUNCT
edu-4309	90	13	indicate	indicate	VERB
edu-4309	90	14	that	that	DET
edu-4309	90	15	novice	novice	NOUN
edu-4309	90	16	(	(	PUNCT
edu-4309	90	17	students	student	NOUN
edu-4309	90	18	)	)	PUNCT
edu-4309	90	19	fundamentally	fundamentally	ADV
edu-4309	90	20	lack	lack	NOUN
edu-4309	90	21	rf	rf	ADP
edu-4309	90	22	which	which	PRON
edu-4309	90	23	enable	enable	VERB
edu-4309	90	24	them	they	PRON
edu-4309	90	25	to	to	PART
edu-4309	90	26	understand	understand	VERB
edu-4309	90	27	the	the	DET
edu-4309	90	28	underline	underline	ADJ
edu-4309	90	29	concepts	concept	NOUN
edu-4309	90	30	.	.	PUNCT
edu-4309	91	1	these	these	DET
edu-4309	91	2	representations	representation	NOUN
edu-4309	91	3	can	can	AUX
edu-4309	91	4	be	be	AUX
edu-4309	91	5	mutually	mutually	ADV
edu-4309	91	6	translated	translate	VERB
edu-4309	91	7	to	to	ADP
edu-4309	91	8	each	each	DET
edu-4309	91	9	other	other	ADJ
edu-4309	91	10	without	without	ADP
edu-4309	91	11	any	any	DET
edu-4309	91	12	loss	loss	NOUN
edu-4309	91	13	of	of	ADP
edu-4309	91	14	formal	formal	ADJ
edu-4309	91	15	properties	property	NOUN
edu-4309	91	16	(	(	PUNCT
edu-4309	91	17	dey	dey	PROPN
edu-4309	91	18	,	,	PUNCT
edu-4309	91	19	2019	2019	NUM
edu-4309	91	20	)	)	PUNCT
edu-4309	91	21	.	.	PUNCT
edu-4309	92	1	the	the	DET
edu-4309	92	2	more	more	ADV
edu-4309	92	3	complete	complete	ADJ
edu-4309	92	4	the	the	DET
edu-4309	92	5	translation	translation	NOUN
edu-4309	92	6	ability	ability	NOUN
edu-4309	92	7	of	of	ADP
edu-4309	92	8	the	the	DET
edu-4309	92	9	students	student	NOUN
edu-4309	92	10	have	have	VERB
edu-4309	92	11	,	,	PUNCT
edu-4309	92	12	the	the	PRON
edu-4309	92	13	stronger	strong	ADJ
edu-4309	92	14	the	the	DET
edu-4309	92	15	understanding	understanding	NOUN
edu-4309	92	16	of	of	ADP
edu-4309	92	17	mathematical	mathematical	ADJ
edu-4309	92	18	ideas	idea	NOUN
edu-4309	92	19	they	they	PRON
edu-4309	92	20	have	have	VERB
edu-4309	92	21	.	.	PUNCT
edu-4309	93	1	many	many	ADJ
edu-4309	93	2	researchers	researcher	NOUN
edu-4309	93	3	argue	argue	VERB
edu-4309	93	4	that	that	SCONJ
edu-4309	93	5	some	some	DET
edu-4309	93	6	mathematical	mathematical	ADJ
edu-4309	93	7	translations	translation	NOUN
edu-4309	93	8	are	be	AUX
edu-4309	93	9	more	more	ADV
edu-4309	93	10	difficult	difficult	ADJ
edu-4309	93	11	than	than	ADP
edu-4309	93	12	others	other	NOUN
edu-4309	93	13	(	(	PUNCT
edu-4309	93	14	adugyamfi	adugyamfi	PROPN
edu-4309	93	15	et	et	PROPN
edu-4309	93	16	al	al	PROPN
edu-4309	93	17	.	.	PROPN
edu-4309	93	18	,	,	PUNCT
edu-4309	93	19	2012	2012	NUM
edu-4309	93	20	)	)	PUNCT
edu-4309	93	21	.	.	PUNCT
edu-4309	94	1	this	this	DET
edu-4309	94	2	study	study	NOUN
edu-4309	94	3	was	be	AUX
edu-4309	94	4	framed	frame	VERB
edu-4309	94	5	to	to	PART
edu-4309	94	6	investigate	investigate	VERB
edu-4309	94	7	the	the	DET
edu-4309	94	8	effect	effect	NOUN
edu-4309	94	9	of	of	ADP
edu-4309	94	10	geogebra	geogebra	NOUN
edu-4309	94	11	assisted	assist	VERB
edu-4309	94	12	multiple	multiple	ADJ
edu-4309	94	13	representations	representation	NOUN
edu-4309	94	14	approach	approach	NOUN
edu-4309	94	15	on	on	ADP
edu-4309	94	16	students	student	NOUN
edu-4309	94	17	’	'	PUNCT
edu-4309	94	18	representation	representation	NOUN
edu-4309	94	19	translation	translation	NOUN
edu-4309	94	20	fluency	fluency	NOUN
edu-4309	94	21	in	in	ADP
edu-4309	94	22	learning	learn	VERB
edu-4309	94	23	calculus	calculus	NOUN
edu-4309	94	24	.	.	PUNCT
edu-4309	95	1	3	3	X
edu-4309	95	2	.	.	X
edu-4309	95	3	research	research	NOUN
edu-4309	95	4	questions	question	NOUN
edu-4309	95	5	1	1	NUM
edu-4309	95	6	.	.	PUNCT
edu-4309	96	1	what	what	PRON
edu-4309	96	2	is	be	AUX
edu-4309	96	3	the	the	DET
edu-4309	96	4	effect	effect	NOUN
edu-4309	96	5	of	of	ADP
edu-4309	96	6	geogebra	geogebra	NOUN
edu-4309	96	7	assisted	assist	VERB
edu-4309	96	8	multiple	multiple	ADJ
edu-4309	96	9	representations	representation	NOUN
edu-4309	96	10	approach	approach	NOUN
edu-4309	96	11	on	on	ADP
edu-4309	96	12	students	student	NOUN
edu-4309	96	13	’	'	PUNCT
edu-4309	96	14	performance	performance	NOUN
edu-4309	96	15	in	in	ADP
edu-4309	96	16	representation	representation	NOUN
edu-4309	96	17	translation	translation	NOUN
edu-4309	96	18	of	of	ADP
edu-4309	96	19	calculus	calculus	NOUN
edu-4309	96	20	problems	problem	NOUN
edu-4309	96	21	?	?	PUNCT
edu-4309	97	1	2	2	X
edu-4309	97	2	.	.	NOUN
edu-4309	97	3	which	which	DET
edu-4309	97	4	representation	representation	NOUN
edu-4309	97	5	error	error	NOUN
edu-4309	97	6	is	be	AUX
edu-4309	97	7	most	most	ADV
edu-4309	97	8	committed	committed	ADJ
edu-4309	97	9	across	across	ADP
edu-4309	97	10	groups	group	NOUN
edu-4309	97	11	in	in	ADP
edu-4309	97	12	calculus	calculus	NOUN
edu-4309	97	13	learning	learning	NOUN
edu-4309	97	14	?	?	PUNCT
edu-4309	98	1	3	3	X
edu-4309	98	2	.	.	NOUN
edu-4309	98	3	which	which	DET
edu-4309	98	4	representation	representation	NOUN
edu-4309	98	5	type	type	NOUN
edu-4309	98	6	is	be	AUX
edu-4309	98	7	difficult	difficult	ADJ
edu-4309	98	8	for	for	SCONJ
edu-4309	98	9	students	student	NOUN
edu-4309	98	10	to	to	PART
edu-4309	98	11	translate	translate	VERB
edu-4309	98	12	in	in	ADP
edu-4309	98	13	terms	term	NOUN
edu-4309	98	14	of	of	ADP
edu-4309	98	15	the	the	DET
edu-4309	98	16	source	source	NOUN
edu-4309	98	17	and	and	CCONJ
edu-4309	98	18	target	target	NOUN
edu-4309	98	19	representations	representation	NOUN
edu-4309	98	20	?	?	PUNCT
edu-4309	99	1	4	4	X
edu-4309	99	2	.	.	X
edu-4309	99	3	methods	method	NOUN
edu-4309	99	4	the	the	DET
edu-4309	99	5	study	study	NOUN
edu-4309	99	6	implemented	implement	VERB
edu-4309	99	7	a	a	DET
edu-4309	99	8	multi	multi	ADJ
edu-4309	99	9	-	-	ADJ
edu-4309	99	10	treatment	treatment	ADJ
edu-4309	99	11	pretestpost	pretestpost	NOUN
edu-4309	99	12	-	-	PUNCT
edu-4309	99	13	test	test	NOUN
edu-4309	99	14	non	non	ADJ
edu-4309	99	15	-	-	ADJ
edu-4309	99	16	equivalent	equivalent	ADJ
edu-4309	99	17	group	group	NOUN
edu-4309	99	18	quasi	quasi	ADJ
edu-4309	99	19	-	-	ADJ
edu-4309	99	20	experimental	experimental	ADJ
edu-4309	99	21	research	research	NOUN
edu-4309	99	22	design	design	NOUN
edu-4309	99	23	on	on	ADP
edu-4309	99	24	purposefully	purposefully	ADV
edu-4309	99	25	selected	select	VERB
edu-4309	99	26	groups	group	NOUN
edu-4309	99	27	of	of	ADP
edu-4309	99	28	students	student	NOUN
edu-4309	99	29	that	that	PRON
edu-4309	99	30	belongs	belong	VERB
edu-4309	99	31	to	to	ADP
edu-4309	99	32	two	two	NUM
edu-4309	99	33	distinct	distinct	ADJ
edu-4309	99	34	universities	university	NOUN
edu-4309	99	35	in	in	ADP
edu-4309	99	36	ethiopia	ethiopia	PROPN
edu-4309	99	37	.	.	PUNCT
edu-4309	100	1	the	the	DET
edu-4309	100	2	research	research	NOUN
edu-4309	100	3	areas	area	NOUN
edu-4309	100	4	include	include	VERB
edu-4309	100	5	jigjiga	jigjiga	ADJ
edu-4309	100	6	university	university	NOUN
edu-4309	100	7	(	(	PUNCT
edu-4309	100	8	jju	jju	PROPN
edu-4309	100	9	)	)	PUNCT
edu-4309	100	10	and	and	CCONJ
edu-4309	100	11	kebri	kebri	NOUN
edu-4309	100	12	-	-	PUNCT
edu-4309	100	13	dehar	dehar	NOUN
edu-4309	100	14	university	university	NOUN
edu-4309	100	15	(	(	PUNCT
edu-4309	100	16	kdu	kdu	PROPN
edu-4309	100	17	)	)	PUNCT
edu-4309	100	18	.	.	PUNCT
edu-4309	101	1	the	the	DET
edu-4309	101	2	study	study	NOUN
edu-4309	101	3	was	be	AUX
edu-4309	101	4	intended	intend	VERB
edu-4309	101	5	to	to	PART
edu-4309	101	6	compare	compare	VERB
edu-4309	101	7	the	the	DET
edu-4309	101	8	effects	effect	NOUN
edu-4309	101	9	of	of	ADP
edu-4309	101	10	three	three	NUM
edu-4309	101	11	differentiated	differentiated	ADJ
edu-4309	101	12	approaches	approach	NOUN
edu-4309	101	13	:	:	PUNCT
edu-4309	101	14	geogebra	geogebra	NOUN
edu-4309	101	15	supported	support	VERB
edu-4309	101	16	multiple	multiple	ADJ
edu-4309	101	17	representations	representation	NOUN
edu-4309	101	18	approach	approach	NOUN
edu-4309	101	19	(	(	PUNCT
edu-4309	101	20	labeled	label	VERB
edu-4309	101	21	as	as	ADP
edu-4309	101	22	mrt	mrt	PROPN
edu-4309	101	23	)	)	PUNCT
edu-4309	101	24	,	,	PUNCT
edu-4309	101	25	multiple	multiple	ADJ
edu-4309	101	26	representations	representation	NOUN
edu-4309	101	27	approach	approach	NOUN
edu-4309	101	28	(	(	PUNCT
edu-4309	101	29	labeled	label	VERB
edu-4309	101	30	as	as	ADP
edu-4309	101	31	mr	mr	PROPN
edu-4309	101	32	)	)	PUNCT
edu-4309	101	33	and	and	CCONJ
edu-4309	101	34	the	the	DET
edu-4309	101	35	control	control	NOUN
edu-4309	101	36	group	group	NOUN
edu-4309	101	37	(	(	PUNCT
edu-4309	101	38	labeled	label	VERB
edu-4309	101	39	as	as	ADP
edu-4309	101	40	cg	cg	NOUN
edu-4309	101	41	)	)	PUNCT
edu-4309	101	42	on	on	ADP
edu-4309	101	43	students	student	NOUN
edu-4309	101	44	’	'	PUNCT
edu-4309	101	45	performance	performance	NOUN
edu-4309	101	46	on	on	ADP
edu-4309	101	47	representation	representation	NOUN
edu-4309	101	48	translation	translation	NOUN
edu-4309	101	49	on	on	ADP
edu-4309	101	50	differential	differential	ADJ
edu-4309	101	51	calculus	calculus	NOUN
edu-4309	101	52	concepts	concept	NOUN
edu-4309	101	53	.	.	PUNCT
edu-4309	102	1	furthermore	furthermore	ADV
edu-4309	102	2	,	,	PUNCT
edu-4309	102	3	this	this	DET
edu-4309	102	4	study	study	NOUN
edu-4309	102	5	investigated	investigate	VERB
edu-4309	102	6	the	the	DET
edu-4309	102	7	prevalence	prevalence	NOUN
edu-4309	102	8	of	of	ADP
edu-4309	102	9	translation	translation	NOUN
edu-4309	102	10	error	error	NOUN
edu-4309	102	11	committed	commit	VERB
edu-4309	102	12	by	by	ADP
edu-4309	102	13	the	the	DET
edu-4309	102	14	students	student	NOUN
edu-4309	102	15	.	.	PUNCT
edu-4309	103	1	in	in	ADP
edu-4309	103	2	addition	addition	NOUN
edu-4309	103	3	to	to	ADP
edu-4309	103	4	that	that	PRON
edu-4309	103	5	,	,	PUNCT
edu-4309	103	6	students	student	NOUN
edu-4309	103	7	’	'	PUNCT
edu-4309	103	8	difficulty	difficulty	NOUN
edu-4309	103	9	in	in	ADP
edu-4309	103	10	representation	representation	NOUN
edu-4309	103	11	type	type	NOUN
edu-4309	103	12	was	be	AUX
edu-4309	103	13	identified	identify	VERB
edu-4309	103	14	in	in	ADP
edu-4309	103	15	terms	term	NOUN
edu-4309	103	16	of	of	ADP
edu-4309	103	17	the	the	DET
edu-4309	103	18	source	source	NOUN
edu-4309	103	19	and	and	CCONJ
edu-4309	103	20	target	target	NOUN
edu-4309	103	21	representation	representation	NOUN
edu-4309	103	22	.	.	PUNCT
edu-4309	104	1	4.1	4.1	NUM
edu-4309	104	2	.	.	PUNCT
edu-4309	105	1	participants	participant	NOUN
edu-4309	105	2	the	the	DET
edu-4309	105	3	study	study	NOUN
edu-4309	105	4	was	be	AUX
edu-4309	105	5	conducted	conduct	VERB
edu-4309	105	6	in	in	ADP
edu-4309	105	7	2019/20	2019/20	NUM
edu-4309	105	8	academic	academic	ADJ
edu-4309	105	9	year	year	NOUN
edu-4309	105	10	on	on	ADP
edu-4309	105	11	first	first	ADJ
edu-4309	105	12	year	year	NOUN
edu-4309	105	13	first	first	ADJ
edu-4309	105	14	semester	semester	NOUN
edu-4309	105	15	students	student	NOUN
edu-4309	105	16	of	of	ADP
edu-4309	105	17	the	the	DET
edu-4309	105	18	social	social	ADJ
edu-4309	105	19	science	science	NOUN
edu-4309	105	20	stream	stream	NOUN
edu-4309	105	21	who	who	PRON
edu-4309	105	22	enrolled	enrol	VERB
edu-4309	105	23	for	for	ADP
edu-4309	105	24	the	the	DET
edu-4309	105	25	course	course	NOUN
edu-4309	105	26	mathematics	mathematic	NOUN
edu-4309	105	27	for	for	ADP
edu-4309	105	28	social	social	ADJ
edu-4309	105	29	science	science	NOUN
edu-4309	105	30	at	at	ADP
edu-4309	105	31	jigjiga	jigjiga	PROPN
edu-4309	105	32	university	university	PROPN
edu-4309	105	33	(	(	PUNCT
edu-4309	105	34	jju	jju	PROPN
edu-4309	105	35	)	)	PUNCT
edu-4309	105	36	and	and	CCONJ
edu-4309	105	37	kebri	kebri	NOUN
edu-4309	105	38	-	-	PUNCT
edu-4309	105	39	dehar	dehar	NOUN
edu-4309	105	40	university	university	NOUN
edu-4309	105	41	(	(	PUNCT
edu-4309	105	42	kdu	kdu	PROPN
edu-4309	105	43	)	)	PUNCT
edu-4309	105	44	.	.	PUNCT
edu-4309	106	1	according	accord	VERB
edu-4309	106	2	to	to	ADP
edu-4309	106	3	the	the	DET
edu-4309	106	4	new	new	ADJ
edu-4309	106	5	ethiopian	ethiopian	ADJ
edu-4309	106	6	higher	high	ADJ
edu-4309	106	7	education	education	NOUN
edu-4309	106	8	roadmap	roadmap	NOUN
edu-4309	106	9	for	for	ADP
edu-4309	106	10	undergraduate	undergraduate	NOUN
edu-4309	106	11	program	program	NOUN
edu-4309	106	12	,	,	PUNCT
edu-4309	106	13	which	which	PRON
edu-4309	106	14	was	be	AUX
edu-4309	106	15	indorsed	indorse	VERB
edu-4309	106	16	in	in	ADP
edu-4309	106	17	the	the	DET
edu-4309	106	18	2019/20	2019/20	NUM
edu-4309	106	19	academic	academic	ADJ
edu-4309	106	20	year	year	NOUN
edu-4309	106	21	,	,	PUNCT
edu-4309	106	22	the	the	DET
edu-4309	106	23	course	course	NOUN
edu-4309	106	24	mathematics	mathematic	NOUN
edu-4309	106	25	for	for	ADP
edu-4309	106	26	social	social	ADJ
edu-4309	106	27	sciences	science	NOUN
edu-4309	106	28	incorporates	incorporate	VERB
edu-4309	106	29	calculus	calculus	NOUN
edu-4309	106	30	in	in	ADP
edu-4309	106	31	a	a	DET
edu-4309	106	32	separate	separate	ADJ
edu-4309	106	33	unit	unit	NOUN
edu-4309	106	34	.	.	PUNCT
edu-4309	107	1	according	accord	VERB
edu-4309	107	2	to	to	ADP
edu-4309	107	3	this	this	DET
edu-4309	107	4	roadmap	roadmap	NOUN
edu-4309	107	5	,	,	PUNCT
edu-4309	107	6	first	first	ADJ
edu-4309	107	7	year	year	NOUN
edu-4309	107	8	students	student	NOUN
edu-4309	107	9	at	at	ADP
edu-4309	107	10	jju	jju	PROPN
edu-4309	107	11	and	and	CCONJ
edu-4309	107	12	kdu	kdu	PROPN
edu-4309	107	13	,	,	PUNCT
edu-4309	107	14	who	who	PRON
edu-4309	107	15	admitted	admit	VERB
edu-4309	107	16	from	from	ADP
edu-4309	107	17	all	all	DET
edu-4309	107	18	corners	corner	NOUN
edu-4309	107	19	of	of	ADP
edu-4309	107	20	the	the	DET
edu-4309	107	21	country	country	NOUN
edu-4309	107	22	in	in	ADP
edu-4309	107	23	2019/20	2019/20	NUM
edu-4309	107	24	,	,	PUNCT
edu-4309	107	25	had	have	VERB
edu-4309	107	26	the	the	DET
edu-4309	107	27	natural	natural	ADJ
edu-4309	107	28	and	and	CCONJ
edu-4309	107	29	social	social	ADJ
edu-4309	107	30	sciences	science	NOUN
edu-4309	107	31	streams	stream	NOUN
edu-4309	107	32	.	.	PUNCT
edu-4309	108	1	the	the	DET
edu-4309	108	2	first	first	ADJ
edu-4309	108	3	-	-	PUNCT
edu-4309	108	4	year	year	NOUN
edu-4309	108	5	social	social	ADJ
edu-4309	108	6	sciences	science	NOUN
edu-4309	108	7	students	student	NOUN
edu-4309	108	8	at	at	ADP
edu-4309	108	9	jju	jju	PROPN
edu-4309	108	10	and	and	CCONJ
edu-4309	108	11	kdu	kdu	PROPN
edu-4309	108	12	were	be	AUX
edu-4309	108	13	assigned	assign	VERB
edu-4309	108	14	into	into	ADP
edu-4309	108	15	their	their	PRON
edu-4309	108	16	section	section	NOUN
edu-4309	108	17	(	(	PUNCT
edu-4309	108	18	labeled	label	VERB
edu-4309	108	19	as	as	ADP
edu-4309	108	20	a	a	DET
edu-4309	108	21	,	,	PUNCT
edu-4309	108	22	b	b	NOUN
edu-4309	108	23	,	,	PUNCT
edu-4309	108	24	c	c	NOUN
edu-4309	108	25	,	,	PUNCT
edu-4309	108	26	etc	etc	X
edu-4309	108	27	.	.	X
edu-4309	108	28	)	)	PUNCT
edu-4309	109	1	based	base	VERB
edu-4309	109	2	on	on	ADP
edu-4309	109	3	alphabetical	alphabetical	ADJ
edu-4309	109	4	order	order	NOUN
edu-4309	109	5	.	.	PUNCT
edu-4309	110	1	each	each	DET
edu-4309	110	2	section	section	NOUN
edu-4309	110	3	contained	contain	VERB
edu-4309	110	4	,	,	PUNCT
edu-4309	110	5	on	on	ADP
edu-4309	110	6	average	average	ADJ
edu-4309	110	7	,	,	PUNCT
edu-4309	110	8	58	58	NUM
edu-4309	110	9	students	student	NOUN
edu-4309	110	10	.	.	PUNCT
edu-4309	111	1	in	in	ADP
edu-4309	111	2	the	the	DET
edu-4309	111	3	jju	jju	PROPN
edu-4309	111	4	and	and	CCONJ
edu-4309	111	5	kdu	kdu	PROPN
edu-4309	111	6	,	,	PUNCT
edu-4309	111	7	there	there	PRON
edu-4309	111	8	were	be	VERB
edu-4309	111	9	23	23	NUM
edu-4309	111	10	and	and	CCONJ
edu-4309	111	11	12	12	NUM
edu-4309	111	12	sections	section	NOUN
edu-4309	111	13	of	of	ADP
edu-4309	111	14	social	social	ADJ
edu-4309	111	15	science	science	NOUN
edu-4309	111	16	students	student	NOUN
edu-4309	111	17	in	in	ADP
edu-4309	111	18	the	the	DET
edu-4309	111	19	2019/20	2019/20	NUM
edu-4309	111	20	academic	academic	ADJ
edu-4309	111	21	years	year	NOUN
edu-4309	111	22	,	,	PUNCT
edu-4309	111	23	respectively	respectively	ADV
edu-4309	111	24	.	.	PUNCT
edu-4309	112	1	one	one	NUM
edu-4309	112	2	section	section	NOUN
edu-4309	112	3	from	from	ADP
edu-4309	112	4	jju	jju	PROPN
edu-4309	112	5	was	be	AUX
edu-4309	112	6	assigned	assign	VERB
edu-4309	112	7	into	into	ADP
edu-4309	112	8	the	the	DET
edu-4309	112	9	mrt	mrt	PROPN
edu-4309	112	10	(	(	PUNCT
edu-4309	112	11	n	n	NOUN
edu-4309	112	12	=	=	SYM
edu-4309	112	13	53	53	NUM
edu-4309	112	14	)	)	PUNCT
edu-4309	112	15	and	and	CCONJ
edu-4309	112	16	two	two	NUM
edu-4309	112	17	sections	section	NOUN
edu-4309	112	18	asian	asian	ADJ
edu-4309	112	19	journal	journal	NOUN
edu-4309	112	20	of	of	ADP
edu-4309	112	21	education	education	NOUN
edu-4309	112	22	and	and	CCONJ
edu-4309	112	23	training	training	NOUN
edu-4309	112	24	,	,	PUNCT
edu-4309	112	25	2022	2022	NUM
edu-4309	112	26	,	,	PUNCT
edu-4309	112	27	8(4	8(4	NUM
edu-4309	112	28	):	):	PUNCT
edu-4309	112	29	121	121	NUM
edu-4309	112	30	-	-	SYM
edu-4309	112	31	130	130	NUM
edu-4309	112	32	124	124	NUM
edu-4309	112	33	©	©	PROPN
edu-4309	112	34	2022	2022	NUM
edu-4309	112	35	by	by	ADP
edu-4309	112	36	the	the	DET
edu-4309	112	37	authors	author	NOUN
edu-4309	112	38	;	;	PUNCT
edu-4309	112	39	licensee	licensee	PROPN
edu-4309	112	40	asian	asian	ADJ
edu-4309	112	41	online	online	PROPN
edu-4309	112	42	journal	journal	PROPN
edu-4309	112	43	publishing	publishing	NOUN
edu-4309	112	44	group	group	NOUN
edu-4309	112	45	from	from	ADP
edu-4309	112	46	kdu	kdu	PROPN
edu-4309	112	47	were	be	AUX
edu-4309	112	48	assigned	assign	VERB
edu-4309	112	49	into	into	ADP
edu-4309	112	50	the	the	DET
edu-4309	112	51	mr	mr	PROPN
edu-4309	112	52	(	(	PUNCT
edu-4309	112	53	n	n	NOUN
edu-4309	112	54	=	=	SYM
edu-4309	112	55	57	57	NUM
edu-4309	112	56	)	)	PUNCT
edu-4309	112	57	and	and	CCONJ
edu-4309	112	58	cg	cg	NOUN
edu-4309	112	59	(	(	PUNCT
edu-4309	112	60	n	n	NOUN
edu-4309	112	61	=	=	NUM
edu-4309	112	62	54	54	NUM
edu-4309	112	63	)	)	PUNCT
edu-4309	112	64	.	.	PUNCT
edu-4309	113	1	the	the	DET
edu-4309	113	2	learning	learn	VERB
edu-4309	113	3	contents	content	NOUN
edu-4309	113	4	of	of	ADP
edu-4309	113	5	the	the	DET
edu-4309	113	6	course	course	NOUN
edu-4309	113	7	that	that	PRON
edu-4309	113	8	were	be	AUX
edu-4309	113	9	selected	select	VERB
edu-4309	113	10	for	for	ADP
edu-4309	113	11	the	the	DET
edu-4309	113	12	interventions	intervention	NOUN
edu-4309	113	13	cover	cover	VERB
edu-4309	113	14	limits	limit	NOUN
edu-4309	113	15	,	,	PUNCT
edu-4309	113	16	continuity	continuity	NOUN
edu-4309	113	17	,	,	PUNCT
edu-4309	113	18	derivatives	derivative	NOUN
edu-4309	113	19	and	and	CCONJ
edu-4309	113	20	application	application	NOUN
edu-4309	113	21	of	of	ADP
edu-4309	113	22	derivatives	derivative	NOUN
edu-4309	113	23	.	.	PUNCT
edu-4309	114	1	the	the	DET
edu-4309	114	2	multiple	multiple	ADJ
edu-4309	114	3	representation	representation	NOUN
edu-4309	114	4	approach	approach	NOUN
edu-4309	114	5	(	(	PUNCT
edu-4309	114	6	mr	mr	PROPN
edu-4309	114	7	)	)	PUNCT
edu-4309	114	8	group	group	NOUN
edu-4309	114	9	was	be	AUX
edu-4309	114	10	received	receive	VERB
edu-4309	114	11	multiple	multiple	ADJ
edu-4309	114	12	representations	representation	NOUN
edu-4309	114	13	based	base	VERB
edu-4309	114	14	instruction	instruction	NOUN
edu-4309	114	15	,	,	PUNCT
edu-4309	114	16	with	with	ADP
edu-4309	114	17	special	special	ADJ
edu-4309	114	18	focus	focus	NOUN
edu-4309	114	19	on	on	ADP
edu-4309	114	20	the	the	DET
edu-4309	114	21	verbal	verbal	ADJ
edu-4309	114	22	,	,	PUNCT
edu-4309	114	23	numerical	numerical	ADJ
edu-4309	114	24	,	,	PUNCT
edu-4309	114	25	graphical	graphical	ADJ
edu-4309	114	26	,	,	PUNCT
edu-4309	114	27	algebraic	algebraic	ADJ
edu-4309	114	28	representations	representation	NOUN
edu-4309	114	29	and	and	CCONJ
edu-4309	114	30	their	their	PRON
edu-4309	114	31	possible	possible	ADJ
edu-4309	114	32	combinations	combination	NOUN
edu-4309	114	33	.	.	PUNCT
edu-4309	115	1	this	this	DET
edu-4309	115	2	group	group	NOUN
edu-4309	115	3	was	be	AUX
edu-4309	115	4	not	not	PART
edu-4309	115	5	supported	support	VERB
edu-4309	115	6	by	by	ADP
edu-4309	115	7	any	any	DET
edu-4309	115	8	technology	technology	NOUN
edu-4309	115	9	.	.	PUNCT
edu-4309	116	1	chalk	chalk	NOUN
edu-4309	116	2	and	and	CCONJ
edu-4309	116	3	board	board	NOUN
edu-4309	116	4	as	as	ADV
edu-4309	116	5	well	well	ADV
edu-4309	116	6	as	as	ADP
edu-4309	116	7	paper	paper	NOUN
edu-4309	116	8	and	and	CCONJ
edu-4309	116	9	pen	pen	NOUN
edu-4309	116	10	were	be	AUX
edu-4309	116	11	used	use	VERB
edu-4309	116	12	for	for	ADP
edu-4309	116	13	illustrating	illustrate	VERB
edu-4309	116	14	a	a	DET
edu-4309	116	15	content	content	NOUN
edu-4309	116	16	using	use	VERB
edu-4309	116	17	different	different	ADJ
edu-4309	116	18	representation	representation	NOUN
edu-4309	116	19	types	type	NOUN
edu-4309	116	20	and	and	CCONJ
edu-4309	116	21	translating	translate	VERB
edu-4309	116	22	one	one	NUM
edu-4309	116	23	representation	representation	NOUN
edu-4309	116	24	type	type	NOUN
edu-4309	116	25	to	to	ADP
edu-4309	116	26	other	other	ADJ
edu-4309	116	27	representation	representation	NOUN
edu-4309	116	28	type	type	NOUN
edu-4309	116	29	.	.	PUNCT
edu-4309	117	1	in	in	ADP
edu-4309	117	2	the	the	DET
edu-4309	117	3	geogebra	geogebra	NOUN
edu-4309	117	4	supported	support	VERB
edu-4309	117	5	multiple	multiple	ADJ
edu-4309	117	6	representations	representation	NOUN
edu-4309	117	7	treatment	treatment	NOUN
edu-4309	117	8	group	group	NOUN
edu-4309	117	9	(	(	PUNCT
edu-4309	117	10	mrt	mrt	PROPN
edu-4309	117	11	)	)	PUNCT
edu-4309	117	12	,	,	PUNCT
edu-4309	117	13	the	the	DET
edu-4309	117	14	multiple	multiple	ADJ
edu-4309	117	15	representations	representation	NOUN
edu-4309	117	16	was	be	AUX
edu-4309	117	17	supported	support	VERB
edu-4309	117	18	by	by	ADP
edu-4309	117	19	geogebra	geogebra	NOUN
edu-4309	117	20	software	software	NOUN
edu-4309	117	21	.	.	PUNCT
edu-4309	118	1	for	for	ADP
edu-4309	118	2	this	this	DET
edu-4309	118	3	group	group	NOUN
edu-4309	118	4	,	,	PUNCT
edu-4309	118	5	some	some	DET
edu-4309	118	6	classroom	classroom	NOUN
edu-4309	118	7	arrangement	arrangement	NOUN
edu-4309	118	8	and	and	CCONJ
edu-4309	118	9	classroom	classroom	NOUN
edu-4309	118	10	shifting	shift	VERB
edu-4309	118	11	was	be	AUX
edu-4309	118	12	implemented	implement	VERB
edu-4309	118	13	during	during	ADP
edu-4309	118	14	the	the	DET
edu-4309	118	15	intervention	intervention	NOUN
edu-4309	118	16	.	.	PUNCT
edu-4309	119	1	even	even	ADV
edu-4309	119	2	if	if	SCONJ
edu-4309	119	3	all	all	PRON
edu-4309	119	4	of	of	ADP
edu-4309	119	5	the	the	DET
edu-4309	119	6	classrooms	classroom	NOUN
edu-4309	119	7	in	in	ADP
edu-4309	119	8	jju	jju	PROPN
edu-4309	119	9	have	have	VERB
edu-4309	119	10	access	access	NOUN
edu-4309	119	11	of	of	ADP
edu-4309	119	12	electricity	electricity	NOUN
edu-4309	119	13	infrastructures	infrastructure	NOUN
edu-4309	119	14	,	,	PUNCT
edu-4309	119	15	there	there	PRON
edu-4309	119	16	was	be	VERB
edu-4309	119	17	erratic	erratic	ADJ
edu-4309	119	18	power	power	NOUN
edu-4309	119	19	supply	supply	NOUN
edu-4309	119	20	.	.	PUNCT
edu-4309	120	1	these	these	DET
edu-4309	120	2	classrooms	classroom	NOUN
edu-4309	120	3	are	be	AUX
edu-4309	120	4	not	not	PART
edu-4309	120	5	sufficient	sufficient	ADJ
edu-4309	120	6	to	to	PART
edu-4309	120	7	use	use	VERB
edu-4309	120	8	mass	mass	ADJ
edu-4309	120	9	technology	technology	NOUN
edu-4309	120	10	,	,	PUNCT
edu-4309	120	11	like	like	ADP
edu-4309	120	12	liquid	liquid	NOUN
edu-4309	120	13	crystal	crystal	NOUN
edu-4309	120	14	display	display	NOUN
edu-4309	120	15	(	(	PUNCT
edu-4309	120	16	lcd	lcd	NOUN
edu-4309	120	17	)	)	PUNCT
edu-4309	120	18	to	to	PART
edu-4309	120	19	display	display	VERB
edu-4309	120	20	mathematical	mathematical	ADJ
edu-4309	120	21	representations	representation	NOUN
edu-4309	120	22	on	on	ADP
edu-4309	120	23	geogebra	geogebra	NOUN
edu-4309	120	24	interfaces	interface	NOUN
edu-4309	120	25	,	,	PUNCT
edu-4309	120	26	since	since	SCONJ
edu-4309	120	27	they	they	PRON
edu-4309	120	28	are	be	AUX
edu-4309	120	29	designed	design	VERB
edu-4309	120	30	for	for	ADP
edu-4309	120	31	chalk	chalk	NOUN
edu-4309	120	32	and	and	CCONJ
edu-4309	120	33	board	board	NOUN
edu-4309	120	34	teaching	teaching	NOUN
edu-4309	120	35	approach	approach	NOUN
edu-4309	120	36	and	and	CCONJ
edu-4309	120	37	they	they	PRON
edu-4309	120	38	have	have	AUX
edu-4309	120	39	stretched	stretch	VERB
edu-4309	120	40	rectangular	rectangular	ADJ
edu-4309	120	41	shape	shape	NOUN
edu-4309	120	42	.	.	PUNCT
edu-4309	121	1	in	in	ADP
edu-4309	121	2	the	the	DET
edu-4309	121	3	mrt	mrt	PROPN
edu-4309	121	4	classroom	classroom	NOUN
edu-4309	121	5	had	have	VERB
edu-4309	121	6	two	two	NUM
edu-4309	121	7	phases	phase	NOUN
edu-4309	121	8	.	.	PUNCT
edu-4309	122	1	first	first	ADV
edu-4309	122	2	,	,	PUNCT
edu-4309	122	3	geogebra	geogebra	NOUN
edu-4309	122	4	was	be	AUX
edu-4309	122	5	used	use	VERB
edu-4309	122	6	side	side	NOUN
edu-4309	122	7	to	to	PART
edu-4309	122	8	side	side	VERB
edu-4309	122	9	with	with	ADP
edu-4309	122	10	the	the	DET
edu-4309	122	11	chalk	chalk	NOUN
edu-4309	122	12	and	and	CCONJ
edu-4309	122	13	board/	board/	NUM
edu-4309	122	14	pen	pen	NOUN
edu-4309	122	15	and	and	CCONJ
edu-4309	122	16	paper	paper	NOUN
edu-4309	122	17	in	in	ADP
edu-4309	122	18	the	the	DET
edu-4309	122	19	hall	hall	NOUN
edu-4309	122	20	using	use	VERB
edu-4309	122	21	laptop	laptop	NOUN
edu-4309	122	22	and	and	CCONJ
edu-4309	122	23	lcd	lcd	NOUN
edu-4309	122	24	display	display	NOUN
edu-4309	122	25	.	.	PUNCT
edu-4309	123	1	second	second	ADJ
edu-4309	123	2	,	,	PUNCT
edu-4309	123	3	a	a	DET
edu-4309	123	4	computer	computer	NOUN
edu-4309	123	5	lap	lap	NOUN
edu-4309	123	6	was	be	AUX
edu-4309	123	7	used	use	VERB
edu-4309	123	8	to	to	PART
edu-4309	123	9	practice	practice	VERB
edu-4309	123	10	the	the	DET
edu-4309	123	11	students	student	NOUN
edu-4309	123	12	on	on	ADP
edu-4309	123	13	the	the	DET
edu-4309	123	14	geogebra	geogebra	NOUN
edu-4309	123	15	worksheets	worksheet	NOUN
edu-4309	123	16	and	and	CCONJ
edu-4309	123	17	to	to	PART
edu-4309	123	18	construct	construct	VERB
edu-4309	123	19	their	their	PRON
edu-4309	123	20	own	own	ADJ
edu-4309	123	21	at	at	ADP
edu-4309	123	22	fly	fly	NOUN
edu-4309	123	23	.	.	PUNCT
edu-4309	124	1	the	the	DET
edu-4309	124	2	time	time	NOUN
edu-4309	124	3	allocation	allocation	NOUN
edu-4309	124	4	for	for	ADP
edu-4309	124	5	these	these	DET
edu-4309	124	6	sessions	session	NOUN
edu-4309	124	7	of	of	ADP
edu-4309	124	8	the	the	DET
edu-4309	124	9	group	group	NOUN
edu-4309	124	10	was	be	AUX
edu-4309	124	11	based	base	VERB
edu-4309	124	12	on	on	ADP
edu-4309	124	13	the	the	DET
edu-4309	124	14	3	3	NUM
edu-4309	124	15	credit	credit	NOUN
edu-4309	124	16	hours	hour	NOUN
edu-4309	124	17	and	and	CCONJ
edu-4309	124	18	2	2	NUM
edu-4309	124	19	tutorial	tutorial	NOUN
edu-4309	124	20	hours	hour	NOUN
edu-4309	124	21	of	of	ADP
edu-4309	124	22	the	the	DET
edu-4309	124	23	course	course	NOUN
edu-4309	124	24	.	.	PUNCT
edu-4309	125	1	the	the	DET
edu-4309	125	2	students	student	NOUN
edu-4309	125	3	were	be	AUX
edu-4309	125	4	not	not	PART
edu-4309	125	5	constrained	constrain	VERB
edu-4309	125	6	to	to	PART
edu-4309	125	7	use	use	VERB
edu-4309	125	8	the	the	DET
edu-4309	125	9	software	software	NOUN
edu-4309	125	10	only	only	ADV
edu-4309	125	11	in	in	ADP
edu-4309	125	12	the	the	DET
edu-4309	125	13	class	class	NOUN
edu-4309	125	14	time	time	NOUN
edu-4309	125	15	,	,	PUNCT
edu-4309	125	16	but	but	CCONJ
edu-4309	125	17	many	many	ADJ
edu-4309	125	18	of	of	ADP
edu-4309	125	19	the	the	DET
edu-4309	125	20	students	student	NOUN
edu-4309	125	21	downloaded	download	VERB
edu-4309	125	22	and	and	CCONJ
edu-4309	125	23	installed	instal	VERB
edu-4309	125	24	in	in	ADP
edu-4309	125	25	their	their	PRON
edu-4309	125	26	private	private	ADJ
edu-4309	125	27	electronic	electronic	ADJ
edu-4309	125	28	devices	device	NOUN
edu-4309	125	29	.	.	PUNCT
edu-4309	126	1	they	they	PRON
edu-4309	126	2	were	be	AUX
edu-4309	126	3	using	use	VERB
edu-4309	126	4	it	it	PRON
edu-4309	126	5	in	in	ADP
edu-4309	126	6	their	their	PRON
edu-4309	126	7	dormitory	dormitory	NOUN
edu-4309	126	8	for	for	ADP
edu-4309	126	9	practicing	practice	VERB
edu-4309	126	10	,	,	PUNCT
edu-4309	126	11	experimenting	experiment	VERB
edu-4309	126	12	and	and	CCONJ
edu-4309	126	13	learning	learn	VERB
edu-4309	126	14	mathematics	mathematics	NOUN
edu-4309	126	15	contents	content	NOUN
edu-4309	126	16	with	with	ADP
edu-4309	126	17	their	their	PRON
edu-4309	126	18	own	own	ADJ
edu-4309	126	19	peace	peace	NOUN
edu-4309	126	20	.	.	PUNCT
edu-4309	127	1	due	due	ADP
edu-4309	127	2	to	to	ADP
edu-4309	127	3	the	the	DET
edu-4309	127	4	fact	fact	NOUN
edu-4309	127	5	that	that	SCONJ
edu-4309	127	6	the	the	DET
edu-4309	127	7	course	course	NOUN
edu-4309	127	8	instructor	instructor	NOUN
edu-4309	127	9	and	and	CCONJ
edu-4309	127	10	the	the	DET
edu-4309	127	11	students	student	NOUN
edu-4309	127	12	were	be	AUX
edu-4309	127	13	novices	novice	NOUN
edu-4309	127	14	for	for	ADP
edu-4309	127	15	the	the	DET
edu-4309	127	16	technology	technology	NOUN
edu-4309	127	17	,	,	PUNCT
edu-4309	127	18	most	most	ADJ
edu-4309	127	19	of	of	ADP
edu-4309	127	20	the	the	DET
edu-4309	127	21	time	time	NOUN
edu-4309	127	22	,	,	PUNCT
edu-4309	127	23	online	online	ADJ
edu-4309	127	24	sources	source	NOUN
edu-4309	127	25	were	be	AUX
edu-4309	127	26	using	use	VERB
edu-4309	127	27	for	for	ADP
edu-4309	127	28	the	the	DET
edu-4309	127	29	classroom	classroom	NOUN
edu-4309	127	30	presentation	presentation	NOUN
edu-4309	127	31	and	and	CCONJ
edu-4309	127	32	demonstration	demonstration	NOUN
edu-4309	127	33	as	as	ADV
edu-4309	127	34	well	well	ADV
edu-4309	127	35	as	as	ADP
edu-4309	127	36	for	for	ADP
edu-4309	127	37	the	the	DET
edu-4309	127	38	computer	computer	NOUN
edu-4309	127	39	lab	lab	NOUN
edu-4309	127	40	practicing	practicing	NOUN
edu-4309	127	41	and	and	CCONJ
edu-4309	127	42	experimentations	experimentation	NOUN
edu-4309	127	43	.	.	PUNCT
edu-4309	128	1	in	in	ADP
edu-4309	128	2	the	the	DET
edu-4309	128	3	mrt	mrt	PROPN
edu-4309	128	4	group	group	NOUN
edu-4309	128	5	,	,	PUNCT
edu-4309	128	6	by	by	ADP
edu-4309	128	7	means	mean	NOUN
edu-4309	128	8	of	of	ADP
edu-4309	128	9	geogebra	geogebra	NOUN
edu-4309	128	10	,	,	PUNCT
edu-4309	128	11	the	the	DET
edu-4309	128	12	teaching	teaching	NOUN
edu-4309	128	13	and	and	CCONJ
edu-4309	128	14	learning	learning	NOUN
edu-4309	128	15	of	of	ADP
edu-4309	128	16	calculus	calculus	NOUN
edu-4309	128	17	was	be	AUX
edu-4309	128	18	shifted	shift	VERB
edu-4309	128	19	into	into	ADP
edu-4309	128	20	more	more	ADV
edu-4309	128	21	active	active	ADJ
edu-4309	128	22	,	,	PUNCT
edu-4309	128	23	where	where	SCONJ
edu-4309	128	24	students	student	NOUN
edu-4309	128	25	explored	explore	VERB
edu-4309	128	26	calculus	calculus	NOUN
edu-4309	128	27	concepts	concept	NOUN
edu-4309	128	28	with	with	ADP
edu-4309	128	29	linked	link	VERB
edu-4309	128	30	multi	multi	NOUN
edu-4309	128	31	-	-	NOUN
edu-4309	128	32	representations	representation	NOUN
edu-4309	128	33	,	,	PUNCT
edu-4309	128	34	which	which	PRON
edu-4309	128	35	is	be	AUX
edu-4309	128	36	often	often	ADV
edu-4309	128	37	difficult	difficult	ADJ
edu-4309	128	38	using	use	VERB
edu-4309	128	39	chalk	chalk	NOUN
edu-4309	128	40	and	and	CCONJ
edu-4309	128	41	board	board	NOUN
edu-4309	128	42	.	.	PUNCT
edu-4309	129	1	the	the	DET
edu-4309	129	2	cg	cg	NOUN
edu-4309	129	3	was	be	AUX
edu-4309	129	4	taught	teach	VERB
edu-4309	129	5	based	base	VERB
edu-4309	129	6	on	on	ADP
edu-4309	129	7	the	the	DET
edu-4309	129	8	conventional	conventional	ADJ
edu-4309	129	9	approach	approach	NOUN
edu-4309	129	10	,	,	PUNCT
edu-4309	129	11	which	which	PRON
edu-4309	129	12	was	be	AUX
edu-4309	129	13	more	more	ADV
edu-4309	129	14	dominantly	dominantly	ADV
edu-4309	129	15	algebraic	algebraic	ADJ
edu-4309	129	16	representation	representation	NOUN
edu-4309	129	17	.	.	PUNCT
edu-4309	130	1	the	the	DET
edu-4309	130	2	course	course	NOUN
edu-4309	130	3	instructor	instructor	NOUN
edu-4309	130	4	in	in	ADP
edu-4309	130	5	the	the	DET
edu-4309	130	6	cg	cg	NOUN
edu-4309	130	7	class	class	NOUN
edu-4309	130	8	might	might	AUX
edu-4309	130	9	use	use	VERB
edu-4309	130	10	different	different	ADJ
edu-4309	130	11	representations	representation	NOUN
edu-4309	130	12	separately	separately	ADV
edu-4309	130	13	.	.	PUNCT
edu-4309	131	1	but	but	CCONJ
edu-4309	131	2	,	,	PUNCT
edu-4309	131	3	he	he	PRON
edu-4309	131	4	did	do	AUX
edu-4309	131	5	not	not	PART
edu-4309	131	6	receive	receive	VERB
edu-4309	131	7	any	any	DET
edu-4309	131	8	training	training	NOUN
edu-4309	131	9	to	to	PART
edu-4309	131	10	use	use	VERB
edu-4309	131	11	multiple	multiple	ADJ
edu-4309	131	12	representations	representation	NOUN
edu-4309	131	13	intentionally	intentionally	ADV
edu-4309	131	14	with	with	ADP
edu-4309	131	15	recommended	recommended	ADJ
edu-4309	131	16	model	model	NOUN
edu-4309	131	17	.	.	PUNCT
edu-4309	132	1	however	however	ADV
edu-4309	132	2	,	,	PUNCT
edu-4309	132	3	the	the	DET
edu-4309	132	4	course	course	NOUN
edu-4309	132	5	instructors	instructor	NOUN
edu-4309	132	6	in	in	ADP
edu-4309	132	7	the	the	DET
edu-4309	132	8	mrt	mrt	PROPN
edu-4309	132	9	and	and	CCONJ
edu-4309	132	10	mr	mr	PROPN
edu-4309	132	11	groups	group	NOUN
edu-4309	132	12	,	,	PUNCT
edu-4309	132	13	the	the	DET
edu-4309	132	14	deft	deft	ADJ
edu-4309	132	15	(	(	PUNCT
edu-4309	132	16	design	design	NOUN
edu-4309	132	17	,	,	PUNCT
edu-4309	132	18	function	function	NOUN
edu-4309	132	19	,	,	PUNCT
edu-4309	132	20	task	task	NOUN
edu-4309	132	21	)	)	PUNCT
edu-4309	132	22	model	model	NOUN
edu-4309	132	23	was	be	AUX
edu-4309	132	24	adopted	adopt	VERB
edu-4309	132	25	.	.	PUNCT
edu-4309	133	1	the	the	DET
edu-4309	133	2	three	three	NUM
edu-4309	133	3	groups	group	NOUN
edu-4309	133	4	were	be	AUX
edu-4309	133	5	taught	teach	VERB
edu-4309	133	6	by	by	ADP
edu-4309	133	7	different	different	ADJ
edu-4309	133	8	instructors	instructor	NOUN
edu-4309	133	9	who	who	PRON
edu-4309	133	10	had	have	VERB
edu-4309	133	11	equivalent	equivalent	ADJ
edu-4309	133	12	academic	academic	ADJ
edu-4309	133	13	status	status	NOUN
edu-4309	133	14	and	and	CCONJ
edu-4309	133	15	teaching	teaching	NOUN
edu-4309	133	16	experience	experience	NOUN
edu-4309	133	17	.	.	PUNCT
edu-4309	134	1	the	the	DET
edu-4309	134	2	intervention	intervention	NOUN
edu-4309	134	3	was	be	AUX
edu-4309	134	4	lasted	last	VERB
edu-4309	134	5	for	for	ADP
edu-4309	134	6	about	about	ADV
edu-4309	134	7	six	six	NUM
edu-4309	134	8	weeks	week	NOUN
edu-4309	134	9	.	.	PUNCT
edu-4309	135	1	table	table	NOUN
edu-4309	135	2	1	1	NUM
edu-4309	135	3	.	.	PUNCT
edu-4309	136	1	participants	participant	NOUN
edu-4309	136	2	’	'	PUNCT
edu-4309	136	3	background	background	NOUN
edu-4309	136	4	information	information	NOUN
edu-4309	136	5	.	.	PUNCT
edu-4309	137	1	gender	gender	NOUN
edu-4309	137	2	female	female	ADJ
edu-4309	137	3	male	male	NOUN
edu-4309	137	4	group	group	NOUN
edu-4309	137	5	n	n	NOUN
edu-4309	138	1	f	f	NOUN
edu-4309	138	2	%	%	NOUN
edu-4309	139	1	f	f	PROPN
edu-4309	139	2	%	%	NOUN
edu-4309	139	3	mrt	mrt	PROPN
edu-4309	139	4	53	53	NUM
edu-4309	139	5	16	16	NUM
edu-4309	139	6	30.2	30.2	NUM
edu-4309	139	7	37	37	NUM
edu-4309	139	8	69.8	69.8	NUM
edu-4309	139	9	mr	mr	PROPN
edu-4309	139	10	57	57	NUM
edu-4309	139	11	21	21	NUM
edu-4309	139	12	36.8	36.8	NUM
edu-4309	139	13	36	36	NUM
edu-4309	139	14	63.2	63.2	NUM
edu-4309	139	15	cg	cg	NOUN
edu-4309	139	16	54	54	NUM
edu-4309	139	17	18	18	NUM
edu-4309	139	18	33.3	33.3	NUM
edu-4309	139	19	36	36	NUM
edu-4309	139	20	66.7	66.7	NUM
edu-4309	139	21	in	in	ADP
edu-4309	139	22	the	the	DET
edu-4309	139	23	three	three	NUM
edu-4309	139	24	groups	group	NOUN
edu-4309	139	25	,	,	PUNCT
edu-4309	139	26	female	female	ADJ
edu-4309	139	27	participants	participant	NOUN
edu-4309	139	28	were	be	AUX
edu-4309	139	29	fewer	few	ADJ
edu-4309	139	30	than	than	ADP
edu-4309	139	31	their	their	PRON
edu-4309	139	32	male	male	ADJ
edu-4309	139	33	counterparts	counterpart	NOUN
edu-4309	139	34	.	.	PUNCT
edu-4309	140	1	based	base	VERB
edu-4309	140	2	on	on	ADP
edu-4309	140	3	the	the	DET
edu-4309	140	4	results	result	NOUN
edu-4309	140	5	reported	report	VERB
edu-4309	140	6	in	in	ADP
edu-4309	140	7	table	table	NOUN
edu-4309	140	8	1	1	NUM
edu-4309	140	9	,	,	PUNCT
edu-4309	140	10	the	the	DET
edu-4309	140	11	mrt	mrt	PROPN
edu-4309	140	12	group	group	NOUN
edu-4309	140	13	consisted	consist	VERB
edu-4309	140	14	of	of	ADP
edu-4309	140	15	16	16	NUM
edu-4309	140	16	female	female	ADJ
edu-4309	140	17	and	and	CCONJ
edu-4309	140	18	37	37	NUM
edu-4309	140	19	male	male	ADJ
edu-4309	140	20	students	student	NOUN
edu-4309	140	21	.	.	PUNCT
edu-4309	141	1	these	these	DET
edu-4309	141	2	numbers	number	NOUN
edu-4309	141	3	represent	represent	VERB
edu-4309	141	4	30	30	NUM
edu-4309	141	5	%	%	NOUN
edu-4309	141	6	females	female	NOUN
edu-4309	141	7	and	and	CCONJ
edu-4309	141	8	70	70	NUM
edu-4309	141	9	%	%	NOUN
edu-4309	141	10	males	male	NOUN
edu-4309	141	11	of	of	ADP
edu-4309	141	12	the	the	DET
edu-4309	141	13	group	group	NOUN
edu-4309	141	14	,	,	PUNCT
edu-4309	141	15	respectively	respectively	ADV
edu-4309	141	16	.	.	PUNCT
edu-4309	142	1	similarly	similarly	ADV
edu-4309	142	2	,	,	PUNCT
edu-4309	142	3	the	the	DET
edu-4309	142	4	mr	mr	PROPN
edu-4309	142	5	group	group	PROPN
edu-4309	142	6	consisted	consist	VERB
edu-4309	142	7	of	of	ADP
edu-4309	142	8	21	21	NUM
edu-4309	142	9	(	(	PUNCT
edu-4309	142	10	37	37	NUM
edu-4309	142	11	%	%	NOUN
edu-4309	142	12	)	)	PUNCT
edu-4309	142	13	female	female	NOUN
edu-4309	142	14	and	and	CCONJ
edu-4309	142	15	36	36	NUM
edu-4309	142	16	(	(	PUNCT
edu-4309	142	17	63	63	NUM
edu-4309	142	18	%	%	NOUN
edu-4309	142	19	)	)	PUNCT
edu-4309	142	20	male	male	ADJ
edu-4309	142	21	students	student	NOUN
edu-4309	142	22	.	.	PUNCT
edu-4309	143	1	the	the	DET
edu-4309	143	2	cg	cg	NOUN
edu-4309	143	3	encompasses	encompass	VERB
edu-4309	143	4	18	18	NUM
edu-4309	143	5	(	(	PUNCT
edu-4309	143	6	33	33	NUM
edu-4309	143	7	%	%	NOUN
edu-4309	143	8	)	)	PUNCT
edu-4309	143	9	female	female	ADJ
edu-4309	143	10	and	and	CCONJ
edu-4309	143	11	36	36	NUM
edu-4309	143	12	(	(	PUNCT
edu-4309	143	13	67	67	NUM
edu-4309	143	14	%	%	NOUN
edu-4309	143	15	)	)	PUNCT
edu-4309	143	16	male	male	ADJ
edu-4309	143	17	students	student	NOUN
edu-4309	143	18	.	.	PUNCT
edu-4309	144	1	from	from	ADP
edu-4309	144	2	this	this	DET
edu-4309	144	3	table	table	NOUN
edu-4309	144	4	,	,	PUNCT
edu-4309	144	5	it	it	PRON
edu-4309	144	6	can	can	AUX
edu-4309	144	7	be	be	AUX
edu-4309	144	8	observed	observe	VERB
edu-4309	144	9	that	that	SCONJ
edu-4309	144	10	the	the	DET
edu-4309	144	11	proportion	proportion	NOUN
edu-4309	144	12	of	of	ADP
edu-4309	144	13	female	female	ADJ
edu-4309	144	14	students	student	NOUN
edu-4309	144	15	across	across	ADP
edu-4309	144	16	the	the	DET
edu-4309	144	17	three	three	NUM
edu-4309	144	18	groups	group	NOUN
edu-4309	144	19	was	be	AUX
edu-4309	144	20	approximately	approximately	ADV
edu-4309	144	21	equal	equal	ADJ
edu-4309	144	22	with	with	ADP
edu-4309	144	23	very	very	ADV
edu-4309	144	24	slight	slight	ADJ
edu-4309	144	25	variation	variation	NOUN
edu-4309	144	26	.	.	PUNCT
edu-4309	145	1	but	but	CCONJ
edu-4309	145	2	,	,	PUNCT
edu-4309	145	3	the	the	DET
edu-4309	145	4	proportion	proportion	NOUN
edu-4309	145	5	of	of	ADP
edu-4309	145	6	female	female	ADJ
edu-4309	145	7	students	student	NOUN
edu-4309	145	8	was	be	AUX
edu-4309	145	9	much	much	ADV
edu-4309	145	10	less	less	ADJ
edu-4309	145	11	than	than	ADP
edu-4309	145	12	the	the	DET
edu-4309	145	13	proportion	proportion	NOUN
edu-4309	145	14	of	of	ADP
edu-4309	145	15	male	male	ADJ
edu-4309	145	16	students	student	NOUN
edu-4309	145	17	across	across	ADP
edu-4309	145	18	each	each	DET
edu-4309	145	19	group	group	NOUN
edu-4309	145	20	.	.	PUNCT
edu-4309	146	1	table	table	NOUN
edu-4309	146	2	2	2	NUM
edu-4309	146	3	.	.	PUNCT
edu-4309	146	4	representation	representation	NOUN
edu-4309	146	5	translation	translation	NOUN
edu-4309	146	6	posttest	postt	ADJ
edu-4309	146	7	items	item	NOUN
edu-4309	146	8	,	,	PUNCT
edu-4309	146	9	with	with	ADP
edu-4309	146	10	respect	respect	NOUN
edu-4309	146	11	to	to	ADP
edu-4309	146	12	source	source	NOUN
edu-4309	146	13	and	and	CCONJ
edu-4309	146	14	target	target	VERB
edu-4309	146	15	representations	representation	NOUN
edu-4309	146	16	.	.	PUNCT
edu-4309	147	1	item	item	NOUN
edu-4309	147	2	source	source	NOUN
edu-4309	147	3	representation	representation	NOUN
edu-4309	147	4	type(s	type(s	NOUN
edu-4309	147	5	)	)	PUNCT
edu-4309	147	6	target	target	NOUN
edu-4309	147	7	representation	representation	NOUN
edu-4309	147	8	type(s	type(s	NOUN
edu-4309	147	9	)	)	PUNCT
edu-4309	147	10	intended	intend	VERB
edu-4309	147	11	to	to	PART
edu-4309	147	12	use	use	VERB
edu-4309	147	13	for	for	ADP
edu-4309	147	14	solving	solve	VERB
edu-4309	147	15	the	the	DET
edu-4309	147	16	problem	problem	NOUN
edu-4309	147	17	1	1	NUM
edu-4309	147	18	algebraic	algebraic	ADJ
edu-4309	147	19	to	to	PART
edu-4309	147	20	be	be	AUX
edu-4309	147	21	able	able	ADJ
edu-4309	147	22	to	to	PART
edu-4309	147	23	sketch	sketch	VERB
edu-4309	147	24	graph	graph	NOUN
edu-4309	147	25	of	of	ADP
edu-4309	147	26	the	the	DET
edu-4309	147	27	function	function	NOUN
edu-4309	147	28	using	use	VERB
edu-4309	147	29	the	the	DET
edu-4309	147	30	applications	application	NOUN
edu-4309	147	31	of	of	ADP
edu-4309	147	32	derivative	derivative	NOUN
edu-4309	147	33	,	,	PUNCT
edu-4309	147	34	using	use	VERB
edu-4309	147	35	central	central	ADJ
edu-4309	147	36	difference	difference	NOUN
edu-4309	147	37	determine	determine	NOUN
edu-4309	147	38	derivative	derivative	NOUN
edu-4309	147	39	of	of	ADP
edu-4309	147	40	the	the	DET
edu-4309	147	41	function	function	NOUN
edu-4309	147	42	at	at	ADP
edu-4309	147	43	a	a	DET
edu-4309	147	44	specific	specific	ADJ
edu-4309	147	45	number	number	NOUN
edu-4309	147	46	,	,	PUNCT
edu-4309	147	47	use	use	VERB
edu-4309	147	48	the	the	DET
edu-4309	147	49	formula	formula	NOUN
edu-4309	147	50	to	to	PART
edu-4309	147	51	compare	compare	VERB
edu-4309	147	52	the	the	DET
edu-4309	147	53	values	value	NOUN
edu-4309	147	54	of	of	ADP
edu-4309	147	55	a	a	DET
edu-4309	147	56	derivative	derivative	NOUN
edu-4309	147	57	and	and	CCONJ
edu-4309	147	58	write	write	VERB
edu-4309	147	59	a	a	DET
edu-4309	147	60	sentences	sentence	NOUN
edu-4309	147	61	that	that	PRON
edu-4309	147	62	describes	describe	VERB
edu-4309	147	63	the	the	DET
edu-4309	147	64	behavior	behavior	NOUN
edu-4309	147	65	of	of	ADP
edu-4309	147	66	the	the	DET
edu-4309	147	67	derivative	derivative	NOUN
edu-4309	147	68	of	of	ADP
edu-4309	147	69	the	the	DET
edu-4309	147	70	function	function	NOUN
edu-4309	147	71	on	on	ADP
edu-4309	147	72	a	a	DET
edu-4309	147	73	given	give	VERB
edu-4309	147	74	interval	interval	NOUN
edu-4309	147	75	2	2	NUM
edu-4309	147	76	combinations	combination	NOUN
edu-4309	147	77	of	of	ADP
edu-4309	147	78	algebraic	algebraic	ADJ
edu-4309	147	79	and	and	CCONJ
edu-4309	147	80	graphical	graphical	ADJ
edu-4309	147	81	to	to	PART
edu-4309	147	82	be	be	AUX
edu-4309	147	83	able	able	ADJ
edu-4309	147	84	to	to	PART
edu-4309	147	85	generate	generate	VERB
edu-4309	147	86	numerical	numerical	ADJ
edu-4309	147	87	table	table	NOUN
edu-4309	147	88	for	for	ADP
edu-4309	147	89	the	the	DET
edu-4309	147	90	area	area	NOUN
edu-4309	147	91	of	of	ADP
edu-4309	147	92	the	the	DET
edu-4309	147	93	region	region	NOUN
edu-4309	147	94	enclosed	enclose	VERB
edu-4309	147	95	by	by	ADP
edu-4309	147	96	the	the	DET
edu-4309	147	97	graph	graph	NOUN
edu-4309	147	98	using	use	VERB
edu-4309	147	99	the	the	DET
edu-4309	147	100	formula	formula	NOUN
edu-4309	147	101	as	as	ADV
edu-4309	147	102	well	well	ADV
edu-4309	147	103	as	as	ADP
edu-4309	147	104	the	the	DET
edu-4309	147	105	graph	graph	NOUN
edu-4309	147	106	and	and	CCONJ
edu-4309	147	107	draw	draw	VERB
edu-4309	147	108	a	a	DET
edu-4309	147	109	scatter	scatter	NOUN
edu-4309	147	110	plot	plot	NOUN
edu-4309	147	111	for	for	ADP
edu-4309	147	112	the	the	DET
edu-4309	147	113	data	datum	NOUN
edu-4309	147	114	3(a)-(e	3(a)-(e	NUM
edu-4309	147	115	)	)	PUNCT
edu-4309	147	116	combination	combination	NOUN
edu-4309	147	117	of	of	ADP
edu-4309	147	118	verbal	verbal	ADJ
edu-4309	147	119	and	and	CCONJ
edu-4309	147	120	graphical	graphical	ADJ
edu-4309	147	121	to	to	PART
edu-4309	147	122	be	be	AUX
edu-4309	147	123	able	able	ADJ
edu-4309	147	124	to	to	PART
edu-4309	147	125	label	label	VERB
edu-4309	147	126	dimensions	dimension	NOUN
edu-4309	147	127	of	of	ADP
edu-4309	147	128	the	the	DET
edu-4309	147	129	figures	figure	NOUN
edu-4309	147	130	,	,	PUNCT
edu-4309	147	131	give	give	VERB
edu-4309	147	132	algebraic	algebraic	ADJ
edu-4309	147	133	expression	expression	NOUN
edu-4309	147	134	for	for	ADP
edu-4309	147	135	the	the	DET
edu-4309	147	136	volume	volume	NOUN
edu-4309	147	137	of	of	ADP
edu-4309	147	138	the	the	DET
edu-4309	147	139	box	box	NOUN
edu-4309	147	140	,	,	PUNCT
edu-4309	147	141	construct	construct	VERB
edu-4309	147	142	a	a	DET
edu-4309	147	143	table	table	NOUN
edu-4309	147	144	of	of	ADP
edu-4309	147	145	values	value	NOUN
edu-4309	147	146	for	for	ADP
edu-4309	147	147	the	the	DET
edu-4309	147	148	volume	volume	NOUN
edu-4309	147	149	function	function	NOUN
edu-4309	147	150	,	,	PUNCT
edu-4309	147	151	sketch	sketch	VERB
edu-4309	147	152	a	a	DET
edu-4309	147	153	graph	graph	NOUN
edu-4309	147	154	for	for	ADP
edu-4309	147	155	the	the	DET
edu-4309	147	156	volume	volume	NOUN
edu-4309	147	157	function	function	NOUN
edu-4309	147	158	,	,	PUNCT
edu-4309	147	159	and	and	CCONJ
edu-4309	147	160	explain	explain	VERB
edu-4309	147	161	the	the	DET
edu-4309	147	162	behavior	behavior	NOUN
edu-4309	147	163	of	of	ADP
edu-4309	147	164	the	the	DET
edu-4309	147	165	volume	volume	NOUN
edu-4309	147	166	function	function	NOUN
edu-4309	147	167	as	as	SCONJ
edu-4309	147	168	x	x	PRON
edu-4309	147	169	approaches	approach	VERB
edu-4309	147	170	a	a	DET
edu-4309	147	171	number	number	NOUN
edu-4309	147	172	4	4	NUM
edu-4309	147	173	numerical	numerical	ADJ
edu-4309	147	174	to	to	PART
edu-4309	147	175	be	be	AUX
edu-4309	147	176	able	able	ADJ
edu-4309	147	177	to	to	PART
edu-4309	147	178	discuss	discuss	VERB
edu-4309	147	179	the	the	DET
edu-4309	147	180	slope	slope	NOUN
edu-4309	147	181	of	of	ADP
edu-4309	147	182	the	the	DET
edu-4309	147	183	tangent	tangent	ADJ
edu-4309	147	184	line	line	NOUN
edu-4309	147	185	at	at	ADP
edu-4309	147	186	a	a	DET
edu-4309	147	187	point	point	NOUN
edu-4309	147	188	p	p	NOUN
edu-4309	147	189	to	to	ADP
edu-4309	147	190	the	the	DET
edu-4309	147	191	graph	graph	NOUN
edu-4309	147	192	of	of	ADP
edu-4309	147	193	v	v	NOUN
edu-4309	147	194	using	use	VERB
edu-4309	147	195	graph	graph	NOUN
edu-4309	147	196	,	,	PUNCT
edu-4309	147	197	algebra	algebra	NOUN
edu-4309	147	198	,	,	PUNCT
edu-4309	147	199	numerical	numerical	ADJ
edu-4309	147	200	value	value	NOUN
edu-4309	147	201	and	and	CCONJ
edu-4309	147	202	verbal	verbal	ADJ
edu-4309	147	203	explanation	explanation	NOUN
edu-4309	147	204	the	the	DET
edu-4309	147	205	students	student	NOUN
edu-4309	147	206	in	in	ADP
edu-4309	147	207	the	the	DET
edu-4309	147	208	three	three	NUM
edu-4309	147	209	groups	group	NOUN
edu-4309	147	210	were	be	AUX
edu-4309	147	211	given	give	VERB
edu-4309	147	212	representation	representation	NOUN
edu-4309	147	213	translation	translation	NOUN
edu-4309	147	214	test	test	NOUN
edu-4309	147	215	on	on	ADP
edu-4309	147	216	concepts	concept	NOUN
edu-4309	147	217	of	of	ADP
edu-4309	147	218	differential	differential	ADJ
edu-4309	147	219	calculus	calculus	NOUN
edu-4309	147	220	.	.	PUNCT
edu-4309	148	1	the	the	DET
edu-4309	148	2	test	test	NOUN
edu-4309	148	3	had	have	VERB
edu-4309	148	4	four	four	NUM
edu-4309	148	5	questions	question	NOUN
edu-4309	148	6	,	,	PUNCT
edu-4309	148	7	in	in	ADP
edu-4309	148	8	which	which	DET
edu-4309	148	9	question	question	NOUN
edu-4309	148	10	3	3	NUM
edu-4309	148	11	contained	contain	VERB
edu-4309	148	12	five	five	NUM
edu-4309	148	13	questions	question	NOUN
edu-4309	148	14	(	(	PUNCT
edu-4309	148	15	a	a	NOUN
edu-4309	148	16	-	-	PUNCT
edu-4309	148	17	e	e	NOUN
edu-4309	148	18	)	)	PUNCT
edu-4309	148	19	.	.	PUNCT
edu-4309	149	1	table	table	NOUN
edu-4309	149	2	2	2	NUM
edu-4309	149	3	illustrates	illustrate	VERB
edu-4309	149	4	that	that	SCONJ
edu-4309	149	5	the	the	DET
edu-4309	149	6	type	type	NOUN
edu-4309	149	7	of	of	ADP
edu-4309	149	8	representation	representation	NOUN
edu-4309	149	9	used	use	VERB
edu-4309	149	10	to	to	PART
edu-4309	149	11	express	express	VERB
edu-4309	149	12	the	the	DET
edu-4309	149	13	question	question	NOUN
edu-4309	149	14	,	,	PUNCT
edu-4309	149	15	considered	consider	VERB
edu-4309	149	16	as	as	ADP
edu-4309	149	17	source	source	NOUN
edu-4309	149	18	representation	representation	NOUN
edu-4309	149	19	,	,	PUNCT
edu-4309	149	20	and	and	CCONJ
edu-4309	149	21	the	the	DET
edu-4309	149	22	intended	intend	VERB
edu-4309	149	23	representation	representation	NOUN
edu-4309	149	24	that	that	SCONJ
edu-4309	149	25	the	the	DET
edu-4309	149	26	students	student	NOUN
edu-4309	149	27	elucidate	elucidate	VERB
edu-4309	149	28	in	in	ADP
edu-4309	149	29	their	their	PRON
edu-4309	149	30	answers	answer	NOUN
edu-4309	149	31	,	,	PUNCT
edu-4309	149	32	called	call	VERB
edu-4309	149	33	target	target	NOUN
edu-4309	149	34	representation	representation	NOUN
edu-4309	149	35	.	.	PUNCT
edu-4309	150	1	the	the	DET
edu-4309	150	2	students	student	NOUN
edu-4309	150	3	were	be	AUX
edu-4309	150	4	required	require	VERB
edu-4309	150	5	to	to	PART
edu-4309	150	6	translate	translate	VERB
edu-4309	150	7	mathematical	mathematical	ADJ
edu-4309	150	8	information	information	NOUN
edu-4309	150	9	from	from	ADP
edu-4309	150	10	the	the	DET
edu-4309	150	11	source	source	NOUN
edu-4309	150	12	representations	representation	NOUN
edu-4309	150	13	to	to	ADP
edu-4309	150	14	the	the	DET
edu-4309	150	15	target	target	NOUN
edu-4309	150	16	representation	representation	NOUN
edu-4309	150	17	preserving	preserve	VERB
edu-4309	150	18	semantic	semantic	ADJ
edu-4309	150	19	congruence	congruence	NOUN
edu-4309	150	20	.	.	PUNCT
edu-4309	151	1	students	student	NOUN
edu-4309	151	2	result	result	VERB
edu-4309	151	3	was	be	AUX
edu-4309	151	4	scored	score	VERB
edu-4309	151	5	using	use	VERB
edu-4309	151	6	rubrics	rubric	NOUN
edu-4309	151	7	.	.	PUNCT
edu-4309	152	1	4.2	4.2	NUM
edu-4309	152	2	.	.	PUNCT
edu-4309	153	1	data	datum	NOUN
edu-4309	153	2	collection	collection	NOUN
edu-4309	153	3	instruments	instrument	NOUN
edu-4309	153	4	and	and	CCONJ
edu-4309	153	5	procedures	procedure	NOUN
edu-4309	153	6	the	the	DET
edu-4309	153	7	data	data	NOUN
edu-4309	153	8	collection	collection	NOUN
edu-4309	153	9	instrument	instrument	NOUN
edu-4309	153	10	for	for	ADP
edu-4309	153	11	this	this	DET
edu-4309	153	12	study	study	NOUN
edu-4309	153	13	was	be	AUX
edu-4309	153	14	representation	representation	NOUN
edu-4309	153	15	translation	translation	NOUN
edu-4309	153	16	fluency	fluency	NOUN
edu-4309	153	17	test	test	NOUN
edu-4309	153	18	(	(	PUNCT
edu-4309	153	19	rtft	rtft	PROPN
edu-4309	153	20	)	)	PUNCT
edu-4309	153	21	(	(	PUNCT
edu-4309	153	22	pretest	pret	ADJ
edu-4309	153	23	and	and	CCONJ
edu-4309	153	24	posttest	posttest	ADJ
edu-4309	153	25	)	)	PUNCT
edu-4309	153	26	.	.	PUNCT
edu-4309	154	1	tasks	task	NOUN
edu-4309	154	2	that	that	PRON
edu-4309	154	3	involve	involve	VERB
edu-4309	154	4	representation	representation	NOUN
edu-4309	154	5	translation	translation	NOUN
edu-4309	154	6	and	and	CCONJ
edu-4309	154	7	representation	representation	NOUN
edu-4309	154	8	implementation	implementation	NOUN
edu-4309	154	9	could	could	AUX
edu-4309	154	10	lend	lend	VERB
edu-4309	154	11	themselves	themselves	PRON
edu-4309	154	12	to	to	PART
edu-4309	154	13	rubric	rubric	VERB
edu-4309	154	14	assessment	assessment	NOUN
edu-4309	154	15	and	and	CCONJ
edu-4309	154	16	to	to	ADP
edu-4309	154	17	other	other	ADJ
edu-4309	154	18	assessment	assessment	NOUN
edu-4309	154	19	types	type	NOUN
edu-4309	154	20	suitable	suitable	ADJ
edu-4309	154	21	for	for	ADP
edu-4309	154	22	open	open	ADJ
edu-4309	154	23	-	-	PUNCT
edu-4309	154	24	ended	end	VERB
edu-4309	154	25	activities	activity	NOUN
edu-4309	154	26	.	.	PUNCT
edu-4309	155	1	hence	hence	ADV
edu-4309	155	2	,	,	PUNCT
edu-4309	155	3	the	the	DET
edu-4309	155	4	students	student	NOUN
edu-4309	155	5	’	'	PUNCT
edu-4309	155	6	score	score	NOUN
edu-4309	155	7	on	on	ADP
edu-4309	155	8	the	the	DET
edu-4309	155	9	representation	representation	NOUN
edu-4309	155	10	interpretation	interpretation	NOUN
edu-4309	155	11	problem	problem	NOUN
edu-4309	155	12	was	be	AUX
edu-4309	155	13	quantified	quantify	VERB
edu-4309	155	14	using	use	VERB
edu-4309	155	15	rubric	rubric	ADJ
edu-4309	155	16	assessment	assessment	NOUN
edu-4309	155	17	technique	technique	NOUN
edu-4309	155	18	.	.	PUNCT
edu-4309	156	1	asian	asian	ADJ
edu-4309	156	2	journal	journal	PROPN
edu-4309	156	3	of	of	ADP
edu-4309	156	4	education	education	NOUN
edu-4309	156	5	and	and	CCONJ
edu-4309	156	6	training	training	NOUN
edu-4309	156	7	,	,	PUNCT
edu-4309	156	8	2022	2022	NUM
edu-4309	156	9	,	,	PUNCT
edu-4309	156	10	8(4	8(4	NUM
edu-4309	156	11	):	):	PUNCT
edu-4309	156	12	121	121	NUM
edu-4309	156	13	-	-	SYM
edu-4309	156	14	130	130	NUM
edu-4309	156	15	125	125	NUM
edu-4309	156	16	©	©	PROPN
edu-4309	156	17	2022	2022	NUM
edu-4309	156	18	by	by	ADP
edu-4309	156	19	the	the	DET
edu-4309	156	20	authors	author	NOUN
edu-4309	156	21	;	;	PUNCT
edu-4309	156	22	licensee	licensee	PROPN
edu-4309	156	23	asian	asian	ADJ
edu-4309	156	24	online	online	PROPN
edu-4309	156	25	journal	journal	PROPN
edu-4309	156	26	publishing	publishing	NOUN
edu-4309	156	27	group	group	NOUN
edu-4309	156	28	the	the	DET
edu-4309	156	29	problem	problem	NOUN
edu-4309	156	30	is	be	AUX
edu-4309	156	31	presented	present	VERB
edu-4309	156	32	in	in	ADP
edu-4309	156	33	one	one	NUM
edu-4309	156	34	or	or	CCONJ
edu-4309	156	35	the	the	DET
edu-4309	156	36	combined	combine	VERB
edu-4309	156	37	form	form	NOUN
edu-4309	156	38	of	of	ADP
edu-4309	156	39	representation(s	representation(s	NOUN
edu-4309	156	40	)	)	PUNCT
edu-4309	156	41	.	.	PUNCT
edu-4309	157	1	the	the	DET
edu-4309	157	2	students	student	NOUN
edu-4309	157	3	’	'	PUNCT
edu-4309	157	4	were	be	AUX
edu-4309	157	5	asked	ask	VERB
edu-4309	157	6	to	to	PART
edu-4309	157	7	solve	solve	VERB
edu-4309	157	8	the	the	DET
edu-4309	157	9	problem	problem	NOUN
edu-4309	157	10	in	in	ADP
edu-4309	157	11	the	the	DET
edu-4309	157	12	other	other	ADJ
edu-4309	157	13	forms	form	NOUN
edu-4309	157	14	of	of	ADP
edu-4309	157	15	representation(s	representation(s	NOUN
edu-4309	157	16	)	)	PUNCT
edu-4309	157	17	keeping	keep	VERB
edu-4309	157	18	in	in	ADP
edu-4309	157	19	mind	mind	NOUN
edu-4309	157	20	that	that	SCONJ
edu-4309	157	21	the	the	DET
edu-4309	157	22	different	different	ADJ
edu-4309	157	23	representations	representation	NOUN
edu-4309	157	24	are	be	AUX
edu-4309	157	25	equivalent	equivalent	ADJ
edu-4309	157	26	.	.	PUNCT
edu-4309	158	1	in	in	ADP
edu-4309	158	2	the	the	DET
edu-4309	158	3	process	process	NOUN
edu-4309	158	4	of	of	ADP
edu-4309	158	5	representation	representation	NOUN
edu-4309	158	6	translations	translation	NOUN
edu-4309	158	7	,	,	PUNCT
edu-4309	158	8	the	the	DET
edu-4309	158	9	students	student	NOUN
edu-4309	158	10	’	’	PART
edu-4309	158	11	errors	error	NOUN
edu-4309	158	12	were	be	AUX
edu-4309	158	13	scored	score	VERB
edu-4309	158	14	and	and	CCONJ
edu-4309	158	15	categorized	categorize	VERB
edu-4309	158	16	as	as	ADP
edu-4309	158	17	implementation	implementation	NOUN
edu-4309	158	18	error	error	NOUN
edu-4309	158	19	,	,	PUNCT
edu-4309	158	20	interpretation	interpretation	NOUN
edu-4309	158	21	error	error	NOUN
edu-4309	158	22	and	and	CCONJ
edu-4309	158	23	preservation	preservation	NOUN
edu-4309	158	24	error	error	NOUN
edu-4309	158	25	(	(	PUNCT
edu-4309	158	26	adu	adu	ADJ
edu-4309	158	27	-	-	PUNCT
edu-4309	158	28	gyamfi	gyamfi	NOUN
edu-4309	158	29	et	et	PROPN
edu-4309	158	30	al	al	PROPN
edu-4309	158	31	.	.	PROPN
edu-4309	158	32	,	,	PUNCT
edu-4309	158	33	2012	2012	NUM
edu-4309	158	34	)	)	PUNCT
edu-4309	158	35	.	.	PUNCT
edu-4309	159	1	the	the	DET
edu-4309	159	2	three	three	NUM
edu-4309	159	3	groups	group	NOUN
edu-4309	159	4	were	be	AUX
edu-4309	159	5	compared	compare	VERB
edu-4309	159	6	based	base	VERB
edu-4309	159	7	on	on	ADP
edu-4309	159	8	these	these	DET
edu-4309	159	9	error	error	NOUN
edu-4309	159	10	types	type	NOUN
edu-4309	159	11	using	use	VERB
edu-4309	159	12	frequency	frequency	NOUN
edu-4309	159	13	and	and	CCONJ
edu-4309	159	14	percentage	percentage	NOUN
edu-4309	159	15	.	.	PUNCT
edu-4309	160	1	4.3	4.3	NUM
edu-4309	160	2	.	.	PUNCT
edu-4309	160	3	reliability	reliability	NOUN
edu-4309	160	4	and	and	CCONJ
edu-4309	160	5	validity	validity	NOUN
edu-4309	160	6	of	of	ADP
edu-4309	160	7	instruments	instrument	NOUN
edu-4309	160	8	to	to	PART
edu-4309	160	9	obtain	obtain	VERB
edu-4309	160	10	obtaining	obtain	VERB
edu-4309	160	11	reliable	reliable	ADJ
edu-4309	160	12	and	and	CCONJ
edu-4309	160	13	valid	valid	ADJ
edu-4309	160	14	information	information	NOUN
edu-4309	160	15	from	from	ADP
edu-4309	160	16	the	the	DET
edu-4309	160	17	data	datum	NOUN
edu-4309	160	18	collection	collection	NOUN
edu-4309	160	19	instruments	instrument	NOUN
edu-4309	160	20	,	,	PUNCT
edu-4309	160	21	several	several	ADJ
edu-4309	160	22	efforts	effort	NOUN
edu-4309	160	23	had	have	AUX
edu-4309	160	24	been	be	AUX
edu-4309	160	25	made	make	VERB
edu-4309	160	26	.	.	PUNCT
edu-4309	161	1	the	the	DET
edu-4309	161	2	main	main	ADJ
edu-4309	161	3	types	type	NOUN
edu-4309	161	4	of	of	ADP
edu-4309	161	5	validity	validity	NOUN
edu-4309	161	6	that	that	PRON
edu-4309	161	7	were	be	AUX
edu-4309	161	8	tried	try	VERB
edu-4309	161	9	to	to	PART
edu-4309	161	10	establish	establish	VERB
edu-4309	161	11	through	through	ADP
edu-4309	161	12	different	different	ADJ
edu-4309	161	13	mechanisms	mechanism	NOUN
edu-4309	161	14	included	include	VERB
edu-4309	161	15	:	:	PUNCT
edu-4309	161	16	face	face	NOUN
edu-4309	161	17	validity	validity	NOUN
edu-4309	161	18	,	,	PUNCT
edu-4309	161	19	content	content	NOUN
edu-4309	161	20	validity	validity	NOUN
edu-4309	161	21	,	,	PUNCT
edu-4309	161	22	construct	construct	VERB
edu-4309	161	23	validity	validity	NOUN
edu-4309	161	24	and	and	CCONJ
edu-4309	161	25	criterion	criterion	NOUN
edu-4309	161	26	validity	validity	NOUN
edu-4309	161	27	.	.	PUNCT
edu-4309	162	1	in	in	ADP
edu-4309	162	2	order	order	NOUN
edu-4309	162	3	to	to	PART
edu-4309	162	4	establish	establish	VERB
edu-4309	162	5	validity	validity	NOUN
edu-4309	162	6	of	of	ADP
edu-4309	162	7	the	the	DET
edu-4309	162	8	representation	representation	NOUN
edu-4309	162	9	interpretation	interpretation	NOUN
edu-4309	162	10	problem	problem	NOUN
edu-4309	162	11	,	,	PUNCT
edu-4309	162	12	the	the	DET
edu-4309	162	13	supervisors	supervisor	NOUN
edu-4309	162	14	’	’	PART
edu-4309	162	15	comments	comment	NOUN
edu-4309	162	16	were	be	AUX
edu-4309	162	17	used	use	VERB
edu-4309	162	18	and	and	CCONJ
edu-4309	162	19	the	the	DET
edu-4309	162	20	items	item	NOUN
edu-4309	162	21	were	be	AUX
edu-4309	162	22	modified	modify	VERB
edu-4309	162	23	accordingly	accordingly	ADV
edu-4309	162	24	.	.	PUNCT
edu-4309	163	1	in	in	ADP
edu-4309	163	2	addition	addition	NOUN
edu-4309	163	3	to	to	ADP
edu-4309	163	4	the	the	DET
edu-4309	163	5	supervisors	supervisor	NOUN
edu-4309	163	6	’	’	PART
edu-4309	163	7	comments	comment	NOUN
edu-4309	163	8	,	,	PUNCT
edu-4309	163	9	the	the	DET
edu-4309	163	10	opinions	opinion	NOUN
edu-4309	163	11	of	of	ADP
edu-4309	163	12	mathematics	mathematics	NOUN
edu-4309	163	13	experts	expert	NOUN
edu-4309	163	14	,	,	PUNCT
edu-4309	163	15	who	who	PRON
edu-4309	163	16	are	be	AUX
edu-4309	163	17	member	member	NOUN
edu-4309	163	18	of	of	ADP
edu-4309	163	19	the	the	DET
edu-4309	163	20	academic	academic	ADJ
edu-4309	163	21	staff	staff	NOUN
edu-4309	163	22	in	in	ADP
edu-4309	163	23	mathematics	mathematics	PROPN
edu-4309	163	24	department	department	PROPN
edu-4309	163	25	at	at	ADP
edu-4309	163	26	jju	jju	PROPN
edu-4309	163	27	,	,	PUNCT
edu-4309	163	28	were	be	AUX
edu-4309	163	29	consulted	consult	VERB
edu-4309	163	30	for	for	ADP
edu-4309	163	31	checking	check	VERB
edu-4309	163	32	the	the	DET
edu-4309	163	33	validity	validity	NOUN
edu-4309	163	34	of	of	ADP
edu-4309	163	35	concept	concept	NOUN
edu-4309	163	36	and	and	CCONJ
edu-4309	163	37	appearance	appearance	NOUN
edu-4309	163	38	from	from	ADP
edu-4309	163	39	the	the	DET
edu-4309	163	40	aspects	aspect	NOUN
edu-4309	163	41	that	that	SCONJ
edu-4309	163	42	it	it	PRON
edu-4309	163	43	aimed	aim	VERB
edu-4309	163	44	to	to	PART
edu-4309	163	45	measure	measure	VERB
edu-4309	163	46	.	.	PUNCT
edu-4309	164	1	regarding	regard	VERB
edu-4309	164	2	to	to	ADP
edu-4309	164	3	the	the	DET
edu-4309	164	4	face	face	NOUN
edu-4309	164	5	validity	validity	NOUN
edu-4309	164	6	,	,	PUNCT
edu-4309	164	7	the	the	DET
edu-4309	164	8	assessors	assessor	NOUN
edu-4309	164	9	evaluated	evaluate	VERB
edu-4309	164	10	the	the	DET
edu-4309	164	11	appearance	appearance	NOUN
edu-4309	164	12	of	of	ADP
edu-4309	164	13	the	the	DET
edu-4309	164	14	items	item	NOUN
edu-4309	164	15	in	in	ADP
edu-4309	164	16	each	each	PRON
edu-4309	164	17	of	of	ADP
edu-4309	164	18	the	the	DET
edu-4309	164	19	constructs	construct	NOUN
edu-4309	164	20	in	in	ADP
edu-4309	164	21	terms	term	NOUN
edu-4309	164	22	of	of	ADP
edu-4309	164	23	feasibility	feasibility	NOUN
edu-4309	164	24	,	,	PUNCT
edu-4309	164	25	readability	readability	NOUN
edu-4309	164	26	,	,	PUNCT
edu-4309	164	27	consistency	consistency	NOUN
edu-4309	164	28	of	of	ADP
edu-4309	164	29	style	style	NOUN
edu-4309	164	30	and	and	CCONJ
edu-4309	164	31	formatting	formatting	NOUN
edu-4309	164	32	,	,	PUNCT
edu-4309	164	33	and	and	CCONJ
edu-4309	164	34	the	the	DET
edu-4309	164	35	clarity	clarity	NOUN
edu-4309	164	36	of	of	ADP
edu-4309	164	37	the	the	DET
edu-4309	164	38	language	language	NOUN
edu-4309	164	39	used	use	VERB
edu-4309	164	40	to	to	ADP
edu-4309	164	41	the	the	DET
edu-4309	164	42	level	level	NOUN
edu-4309	164	43	of	of	ADP
edu-4309	164	44	the	the	DET
edu-4309	164	45	participants	participant	NOUN
edu-4309	164	46	experience	experience	NOUN
edu-4309	164	47	.	.	PUNCT
edu-4309	165	1	panel	panel	NOUN
edu-4309	165	2	of	of	ADP
edu-4309	165	3	experts	expert	NOUN
edu-4309	165	4	were	be	AUX
edu-4309	165	5	also	also	ADV
edu-4309	165	6	involved	involve	VERB
edu-4309	165	7	to	to	PART
edu-4309	165	8	evaluate	evaluate	VERB
edu-4309	165	9	content	content	NOUN
edu-4309	165	10	validity	validity	NOUN
edu-4309	165	11	of	of	ADP
edu-4309	165	12	the	the	DET
edu-4309	165	13	constructs	construct	NOUN
edu-4309	165	14	in	in	ADP
edu-4309	165	15	the	the	DET
edu-4309	165	16	way	way	NOUN
edu-4309	165	17	to	to	PART
edu-4309	165	18	ensure	ensure	VERB
edu-4309	165	19	each	each	PRON
edu-4309	165	20	of	of	ADP
edu-4309	165	21	the	the	DET
edu-4309	165	22	constructs	construct	NOUN
edu-4309	165	23	incorporates	incorporate	VERB
edu-4309	165	24	all	all	DET
edu-4309	165	25	the	the	DET
edu-4309	165	26	items	item	NOUN
edu-4309	165	27	that	that	PRON
edu-4309	165	28	were	be	AUX
edu-4309	165	29	essential	essential	ADJ
edu-4309	165	30	in	in	ADP
edu-4309	165	31	which	which	PRON
edu-4309	165	32	they	they	PRON
edu-4309	165	33	eliminated	eliminate	VERB
edu-4309	165	34	irrelevant	irrelevant	ADJ
edu-4309	165	35	items	item	NOUN
edu-4309	165	36	in	in	ADP
edu-4309	165	37	any	any	PRON
edu-4309	165	38	of	of	ADP
edu-4309	165	39	the	the	DET
edu-4309	165	40	constructs	construct	NOUN
edu-4309	165	41	.	.	PUNCT
edu-4309	166	1	in	in	ADP
edu-4309	166	2	addition	addition	NOUN
edu-4309	166	3	to	to	ADP
edu-4309	166	4	the	the	DET
edu-4309	166	5	panel	panel	NOUN
edu-4309	166	6	of	of	ADP
edu-4309	166	7	experts	expert	NOUN
edu-4309	166	8	,	,	PUNCT
edu-4309	166	9	the	the	DET
edu-4309	166	10	literature	literature	NOUN
edu-4309	166	11	review	review	NOUN
edu-4309	166	12	was	be	AUX
edu-4309	166	13	used	use	VERB
edu-4309	166	14	to	to	PART
edu-4309	166	15	establish	establish	VERB
edu-4309	166	16	content	content	ADJ
edu-4309	166	17	validities	validity	NOUN
edu-4309	166	18	of	of	ADP
edu-4309	166	19	the	the	DET
edu-4309	166	20	constructs	construct	NOUN
edu-4309	166	21	.	.	PUNCT
edu-4309	167	1	to	to	PART
edu-4309	167	2	establish	establish	VERB
edu-4309	167	3	the	the	DET
edu-4309	167	4	reliability	reliability	NOUN
edu-4309	167	5	of	of	ADP
edu-4309	167	6	the	the	DET
edu-4309	167	7	instruments	instrument	NOUN
edu-4309	167	8	of	of	ADP
edu-4309	167	9	each	each	DET
edu-4309	167	10	construct	construct	NOUN
edu-4309	167	11	,	,	PUNCT
edu-4309	167	12	a	a	DET
edu-4309	167	13	pilot	pilot	NOUN
edu-4309	167	14	test	test	NOUN
edu-4309	167	15	was	be	AUX
edu-4309	167	16	conducted	conduct	VERB
edu-4309	167	17	on	on	ADP
edu-4309	167	18	second	second	ADJ
edu-4309	167	19	year	year	NOUN
edu-4309	167	20	mathematics	mathematics	PROPN
edu-4309	167	21	department	department	NOUN
edu-4309	167	22	students	student	NOUN
edu-4309	167	23	.	.	PUNCT
edu-4309	168	1	thirty	thirty	NUM
edu-4309	168	2	students	student	NOUN
edu-4309	168	3	(	(	PUNCT
edu-4309	168	4	15	15	NUM
edu-4309	168	5	students	student	NOUN
edu-4309	168	6	for	for	ADP
edu-4309	168	7	the	the	DET
edu-4309	168	8	pretest	pret	ADJ
edu-4309	168	9	and	and	CCONJ
edu-4309	168	10	15	15	NUM
edu-4309	168	11	students	student	NOUN
edu-4309	168	12	for	for	ADP
edu-4309	168	13	post	post	NOUN
edu-4309	168	14	-	-	NOUN
edu-4309	168	15	test	test	NOUN
edu-4309	168	16	)	)	PUNCT
edu-4309	168	17	were	be	AUX
edu-4309	168	18	participated	participate	VERB
edu-4309	168	19	in	in	ADP
edu-4309	168	20	the	the	DET
edu-4309	168	21	pilot	pilot	NOUN
edu-4309	168	22	test	test	NOUN
edu-4309	168	23	.	.	PUNCT
edu-4309	169	1	the	the	DET
edu-4309	169	2	students	student	NOUN
edu-4309	169	3	’	’	PART
edu-4309	169	4	solutions	solution	NOUN
edu-4309	169	5	on	on	ADP
edu-4309	169	6	the	the	DET
edu-4309	169	7	constructs	construct	NOUN
edu-4309	169	8	were	be	AUX
edu-4309	169	9	assessed	assess	VERB
edu-4309	169	10	through	through	ADP
edu-4309	169	11	rubrics	rubric	NOUN
edu-4309	169	12	.	.	PUNCT
edu-4309	170	1	two	two	NUM
edu-4309	170	2	iterators	iterator	NOUN
edu-4309	170	3	were	be	AUX
edu-4309	170	4	involved	involve	VERB
edu-4309	170	5	in	in	ADP
edu-4309	170	6	assessing	assess	VERB
edu-4309	170	7	the	the	DET
edu-4309	170	8	students	student	NOUN
edu-4309	170	9	’	'	PUNCT
edu-4309	170	10	work	work	NOUN
edu-4309	170	11	using	use	VERB
edu-4309	170	12	the	the	DET
edu-4309	170	13	predetermined	predetermined	ADJ
edu-4309	170	14	rubrics	rubric	NOUN
edu-4309	170	15	for	for	ADP
edu-4309	170	16	scoring	score	VERB
edu-4309	170	17	students	student	NOUN
edu-4309	170	18	’	'	PUNCT
edu-4309	170	19	solution	solution	NOUN
edu-4309	170	20	of	of	ADP
edu-4309	170	21	the	the	DET
edu-4309	170	22	items	item	NOUN
edu-4309	170	23	in	in	ADP
edu-4309	170	24	each	each	PRON
edu-4309	170	25	of	of	ADP
edu-4309	170	26	the	the	DET
edu-4309	170	27	constructs	construct	NOUN
edu-4309	170	28	.	.	PUNCT
edu-4309	171	1	as	as	ADP
edu-4309	171	2	a	a	DET
edu-4309	171	3	result	result	NOUN
edu-4309	171	4	of	of	ADP
edu-4309	171	5	this	this	PRON
edu-4309	171	6	,	,	PUNCT
edu-4309	171	7	student	student	NOUN
edu-4309	171	8	’s	’s	PART
edu-4309	171	9	solution	solution	NOUN
edu-4309	171	10	were	be	AUX
edu-4309	171	11	analyzed	analyze	VERB
edu-4309	171	12	separately	separately	ADV
edu-4309	171	13	by	by	ADP
edu-4309	171	14	two	two	NUM
edu-4309	171	15	mathematics	mathematics	PROPN
edu-4309	171	16	department	department	NOUN
edu-4309	171	17	academic	academic	ADJ
edu-4309	171	18	staff	staff	NOUN
edu-4309	171	19	members	member	NOUN
edu-4309	171	20	at	at	ADP
edu-4309	171	21	jju	jju	PROPN
edu-4309	171	22	and	and	CCONJ
edu-4309	171	23	the	the	DET
edu-4309	171	24	calculation	calculation	NOUN
edu-4309	171	25	of	of	ADP
edu-4309	171	26	the	the	DET
edu-4309	171	27	reliability	reliability	NOUN
edu-4309	171	28	were	be	AUX
edu-4309	171	29	computed	compute	VERB
edu-4309	171	30	manually	manually	ADV
edu-4309	171	31	using	use	VERB
edu-4309	171	32	the	the	DET
edu-4309	171	33	formula	formula	NOUN
edu-4309	171	34	"	"	PUNCT
edu-4309	171	35	consensus/	consensus/	NOUN
edu-4309	171	36	(	(	PUNCT
edu-4309	171	37	consensus	consensus	NOUN
edu-4309	171	38	+	+	CCONJ
edu-4309	171	39	dissensus	dissensus	NOUN
edu-4309	171	40	)	)	PUNCT
edu-4309	171	41	x	x	SYM
edu-4309	171	42	100	100	NUM
edu-4309	171	43	"	"	PUNCT
edu-4309	171	44	recommended	recommend	VERB
edu-4309	171	45	by	by	ADP
edu-4309	171	46	miles	mile	NOUN
edu-4309	171	47	&	&	CCONJ
edu-4309	171	48	huberman	huberman	PROPN
edu-4309	171	49	(	(	PUNCT
edu-4309	171	50	1994	1994	NUM
edu-4309	171	51	)	)	PUNCT
edu-4309	171	52	,	,	PUNCT
edu-4309	171	53	cited	cite	VERB
edu-4309	171	54	in	in	ADP
edu-4309	171	55	rahmawati	rahmawati	PROPN
edu-4309	171	56	et	et	PROPN
edu-4309	171	57	al	al	PROPN
edu-4309	171	58	.	.	PROPN
edu-4309	172	1	(	(	PUNCT
edu-4309	172	2	2017	2017	NUM
edu-4309	172	3	)	)	PUNCT
edu-4309	172	4	.	.	PUNCT
edu-4309	173	1	based	base	VERB
edu-4309	173	2	on	on	ADP
edu-4309	173	3	this	this	PRON
edu-4309	173	4	,	,	PUNCT
edu-4309	173	5	the	the	DET
edu-4309	173	6	reliability	reliability	NOUN
edu-4309	173	7	value	value	NOUN
edu-4309	173	8	of	of	ADP
edu-4309	173	9	the	the	DET
edu-4309	173	10	rtf	rtf	NOUN
edu-4309	173	11	pretest	pretest	NOUN
edu-4309	173	12	and	and	CCONJ
edu-4309	173	13	posttest	posttest	ADJ
edu-4309	173	14	were	be	AUX
edu-4309	173	15	obtained	obtain	VERB
edu-4309	173	16	to	to	PART
edu-4309	173	17	be	be	AUX
edu-4309	173	18	0.78	0.78	NUM
edu-4309	173	19	and	and	CCONJ
edu-4309	173	20	0.77	0.77	NUM
edu-4309	173	21	,	,	PUNCT
edu-4309	173	22	respectively	respectively	ADV
edu-4309	173	23	.	.	PUNCT
edu-4309	174	1	these	these	DET
edu-4309	174	2	results	result	NOUN
edu-4309	174	3	are	be	AUX
edu-4309	174	4	in	in	ADP
edu-4309	174	5	the	the	DET
edu-4309	174	6	acceptable	acceptable	ADJ
edu-4309	174	7	range	range	NOUN
edu-4309	174	8	of	of	ADP
edu-4309	174	9	reliability	reliability	NOUN
edu-4309	174	10	.	.	PUNCT
edu-4309	175	1	4.4	4.4	NUM
edu-4309	175	2	.	.	PUNCT
edu-4309	176	1	data	datum	NOUN
edu-4309	176	2	analysis	analysis	NOUN
edu-4309	176	3	to	to	PART
edu-4309	176	4	compare	compare	VERB
edu-4309	176	5	the	the	DET
edu-4309	176	6	three	three	NUM
edu-4309	176	7	groups	group	NOUN
edu-4309	176	8	with	with	ADP
edu-4309	176	9	regards	regard	NOUN
edu-4309	176	10	to	to	ADP
edu-4309	176	11	their	their	PRON
edu-4309	176	12	performance	performance	NOUN
edu-4309	176	13	on	on	ADP
edu-4309	176	14	the	the	DET
edu-4309	176	15	representation	representation	NOUN
edu-4309	176	16	translation	translation	NOUN
edu-4309	176	17	in	in	ADP
edu-4309	176	18	solving	solve	VERB
edu-4309	176	19	calculus	calculus	NOUN
edu-4309	176	20	problems	problem	NOUN
edu-4309	176	21	,	,	PUNCT
edu-4309	176	22	appropriate	appropriate	ADJ
edu-4309	176	23	inferential	inferential	ADJ
edu-4309	176	24	statistic	statistic	NOUN
edu-4309	176	25	was	be	AUX
edu-4309	176	26	used	use	VERB
edu-4309	176	27	depending	depend	VERB
edu-4309	176	28	on	on	ADP
edu-4309	176	29	the	the	DET
edu-4309	176	30	underlined	underline	VERB
edu-4309	176	31	statistical	statistical	ADJ
edu-4309	176	32	assumptions	assumption	NOUN
edu-4309	176	33	about	about	ADP
edu-4309	176	34	the	the	DET
edu-4309	176	35	collected	collect	VERB
edu-4309	176	36	data	datum	NOUN
edu-4309	176	37	.	.	PUNCT
edu-4309	177	1	one	one	NUM
edu-4309	177	2	way	way	NOUN
edu-4309	177	3	analysis	analysis	NOUN
edu-4309	177	4	of	of	ADP
edu-4309	177	5	variance	variance	NOUN
edu-4309	177	6	(	(	PUNCT
edu-4309	177	7	anova	anova	PROPN
edu-4309	177	8	)	)	PUNCT
edu-4309	177	9	was	be	AUX
edu-4309	177	10	employed	employ	VERB
edu-4309	177	11	to	to	PART
edu-4309	177	12	detect	detect	VERB
edu-4309	177	13	variations	variation	NOUN
edu-4309	177	14	of	of	ADP
edu-4309	177	15	the	the	DET
edu-4309	177	16	three	three	NUM
edu-4309	177	17	groups	group	NOUN
edu-4309	177	18	(	(	PUNCT
edu-4309	177	19	if	if	SCONJ
edu-4309	177	20	any	any	PRON
edu-4309	177	21	)	)	PUNCT
edu-4309	177	22	on	on	ADP
edu-4309	177	23	their	their	PRON
edu-4309	177	24	rtf	rtf	NOUN
edu-4309	177	25	pretests	pretest	NOUN
edu-4309	177	26	.	.	PUNCT
edu-4309	178	1	one	one	NUM
edu-4309	178	2	way	way	NOUN
edu-4309	178	3	analysis	analysis	NOUN
edu-4309	178	4	of	of	ADP
edu-4309	178	5	covariance	covariance	NOUN
edu-4309	178	6	(	(	PUNCT
edu-4309	178	7	ancova	ancova	NOUN
edu-4309	178	8	)	)	PUNCT
edu-4309	178	9	was	be	AUX
edu-4309	178	10	implemented	implement	VERB
edu-4309	178	11	to	to	PART
edu-4309	178	12	compare	compare	VERB
edu-4309	178	13	the	the	DET
edu-4309	178	14	three	three	NUM
edu-4309	178	15	groups	group	NOUN
edu-4309	178	16	based	base	VERB
edu-4309	178	17	on	on	ADP
edu-4309	178	18	their	their	PRON
edu-4309	178	19	score	score	NOUN
edu-4309	178	20	on	on	ADP
edu-4309	178	21	the	the	DET
edu-4309	178	22	rtf	rtf	NOUN
edu-4309	178	23	posttests	posttest	NOUN
edu-4309	178	24	using	use	VERB
edu-4309	178	25	the	the	DET
edu-4309	178	26	rtf	rtf	NOUN
edu-4309	178	27	pretest	pretest	NOUN
edu-4309	178	28	as	as	ADP
edu-4309	178	29	covariate	covariate	NOUN
edu-4309	178	30	.	.	PUNCT
edu-4309	179	1	percentage	percentage	NOUN
edu-4309	179	2	and	and	CCONJ
edu-4309	179	3	frequency	frequency	NOUN
edu-4309	179	4	were	be	AUX
edu-4309	179	5	used	use	VERB
edu-4309	179	6	for	for	ADP
edu-4309	179	7	describing	describe	VERB
edu-4309	179	8	students	student	NOUN
edu-4309	179	9	’	'	PUNCT
edu-4309	179	10	status	status	NOUN
edu-4309	179	11	on	on	ADP
edu-4309	179	12	the	the	DET
edu-4309	179	13	translation	translation	NOUN
edu-4309	179	14	error	error	NOUN
edu-4309	179	15	.	.	PUNCT
edu-4309	180	1	a	a	DET
edu-4309	180	2	narrative	narrative	ADJ
edu-4309	180	3	analysis	analysis	NOUN
edu-4309	180	4	was	be	AUX
edu-4309	180	5	used	use	VERB
edu-4309	180	6	for	for	ADP
edu-4309	180	7	the	the	DET
edu-4309	180	8	qualitative	qualitative	ADJ
edu-4309	180	9	data	datum	NOUN
edu-4309	180	10	to	to	PART
edu-4309	180	11	determine	determine	VERB
edu-4309	180	12	students	student	NOUN
edu-4309	180	13	’	'	PUNCT
edu-4309	180	14	difficulty	difficulty	NOUN
edu-4309	180	15	of	of	ADP
edu-4309	180	16	representation	representation	NOUN
edu-4309	180	17	type	type	NOUN
edu-4309	180	18	in	in	ADP
edu-4309	180	19	the	the	DET
edu-4309	180	20	process	process	NOUN
edu-4309	180	21	of	of	ADP
edu-4309	180	22	translation	translation	NOUN
edu-4309	180	23	.	.	PUNCT
edu-4309	181	1	5	5	X
edu-4309	181	2	.	.	X
edu-4309	181	3	results	result	VERB
edu-4309	181	4	5.1	5.1	NUM
edu-4309	181	5	.	.	PUNCT
edu-4309	182	1	pre	pre	VERB
edu-4309	182	2	-	-	NOUN
edu-4309	182	3	intervention	intervention	NOUN
edu-4309	182	4	results	result	VERB
edu-4309	182	5	the	the	DET
edu-4309	182	6	pretest	pret	ADJ
edu-4309	182	7	results	result	NOUN
edu-4309	182	8	were	be	AUX
edu-4309	182	9	the	the	DET
edu-4309	182	10	base	base	ADJ
edu-4309	182	11	line	line	NOUN
edu-4309	182	12	test	test	NOUN
edu-4309	182	13	scores	score	NOUN
edu-4309	182	14	taken	take	VERB
edu-4309	182	15	from	from	ADP
edu-4309	182	16	the	the	DET
edu-4309	182	17	three	three	NUM
edu-4309	182	18	groups	group	NOUN
edu-4309	182	19	just	just	ADV
edu-4309	182	20	before	before	SCONJ
edu-4309	182	21	the	the	DET
edu-4309	182	22	intervention	intervention	NOUN
edu-4309	182	23	had	have	AUX
edu-4309	182	24	been	be	AUX
edu-4309	182	25	begun	begin	VERB
edu-4309	182	26	.	.	PUNCT
edu-4309	183	1	the	the	DET
edu-4309	183	2	data	datum	NOUN
edu-4309	183	3	were	be	AUX
edu-4309	183	4	obtained	obtain	VERB
edu-4309	183	5	from	from	ADP
edu-4309	183	6	rtf	rtf	PROPN
edu-4309	183	7	pretest	pretest	NOUN
edu-4309	183	8	.	.	PUNCT
edu-4309	184	1	from	from	ADP
edu-4309	184	2	the	the	DET
edu-4309	184	3	rtf	rtf	NOUN
edu-4309	184	4	pretest	pretest	NOUN
edu-4309	184	5	,	,	PUNCT
edu-4309	184	6	translation	translation	NOUN
edu-4309	184	7	errors	error	NOUN
edu-4309	184	8	were	be	AUX
edu-4309	184	9	identified	identify	VERB
edu-4309	184	10	and	and	CCONJ
edu-4309	184	11	classified	classify	VERB
edu-4309	184	12	into	into	ADP
edu-4309	184	13	three	three	NUM
edu-4309	184	14	categories	category	NOUN
edu-4309	184	15	–	–	PUNCT
edu-4309	184	16	implementation	implementation	NOUN
edu-4309	184	17	,	,	PUNCT
edu-4309	184	18	interpretation	interpretation	NOUN
edu-4309	184	19	and	and	CCONJ
edu-4309	184	20	preservation	preservation	NOUN
edu-4309	184	21	(	(	PUNCT
edu-4309	184	22	adu‐gyamfi	adu‐gyamfi	ADP
edu-4309	184	23	,	,	PUNCT
edu-4309	184	24	stiff	stiff	ADJ
edu-4309	184	25	,	,	PUNCT
edu-4309	184	26	&	&	CCONJ
edu-4309	184	27	bossé	bossé	NOUN
edu-4309	184	28	,	,	PUNCT
edu-4309	184	29	2012	2012	NUM
edu-4309	184	30	)	)	PUNCT
edu-4309	184	31	.	.	PUNCT
edu-4309	185	1	hence	hence	ADV
edu-4309	185	2	,	,	PUNCT
edu-4309	185	3	the	the	DET
edu-4309	185	4	test	test	NOUN
edu-4309	185	5	results	result	NOUN
edu-4309	185	6	involved	involve	VERB
edu-4309	185	7	both	both	CCONJ
edu-4309	185	8	continuous	continuous	ADJ
edu-4309	185	9	and	and	CCONJ
edu-4309	185	10	categorical	categorical	ADJ
edu-4309	185	11	data	datum	NOUN
edu-4309	185	12	.	.	PUNCT
edu-4309	186	1	for	for	ADP
edu-4309	186	2	the	the	DET
edu-4309	186	3	continuous	continuous	ADJ
edu-4309	186	4	data	datum	NOUN
edu-4309	186	5	,	,	PUNCT
edu-4309	186	6	appropriate	appropriate	ADJ
edu-4309	186	7	inferential	inferential	ADJ
edu-4309	186	8	statistics	statistic	NOUN
edu-4309	186	9	were	be	AUX
edu-4309	186	10	used	use	VERB
edu-4309	186	11	and	and	CCONJ
edu-4309	186	12	for	for	ADP
edu-4309	186	13	the	the	DET
edu-4309	186	14	categorical	categorical	ADJ
edu-4309	186	15	data	datum	NOUN
edu-4309	186	16	,	,	PUNCT
edu-4309	186	17	frequency	frequency	NOUN
edu-4309	186	18	and	and	CCONJ
edu-4309	186	19	percentage	percentage	NOUN
edu-4309	186	20	were	be	AUX
edu-4309	186	21	applied	apply	VERB
edu-4309	186	22	to	to	PART
edu-4309	186	23	describe	describe	VERB
edu-4309	186	24	the	the	DET
edu-4309	186	25	status	status	NOUN
edu-4309	186	26	of	of	ADP
edu-4309	186	27	students	student	NOUN
edu-4309	186	28	before	before	ADP
edu-4309	186	29	the	the	DET
edu-4309	186	30	intervention	intervention	NOUN
edu-4309	186	31	.	.	PUNCT
edu-4309	187	1	table	table	NOUN
edu-4309	187	2	3	3	NUM
edu-4309	187	3	.	.	NUM
edu-4309	187	4	means	mean	NOUN
edu-4309	187	5	and	and	CCONJ
edu-4309	187	6	standard	standard	ADJ
edu-4309	187	7	deviations	deviation	NOUN
edu-4309	187	8	of	of	ADP
edu-4309	187	9	the	the	DET
edu-4309	187	10	representation	representation	NOUN
edu-4309	187	11	translation	translation	NOUN
edu-4309	187	12	fluency	fluency	NOUN
edu-4309	187	13	pretest	pretest	NOUN
edu-4309	187	14	for	for	ADP
edu-4309	187	15	groups	group	NOUN
edu-4309	187	16	.	.	PUNCT
edu-4309	188	1	group	group	NOUN
edu-4309	188	2	representation	representation	NOUN
edu-4309	188	3	translation	translation	NOUN
edu-4309	188	4	fluency	fluency	NOUN
edu-4309	188	5	pretest	pretest	NOUN
edu-4309	188	6	n	n	DET
edu-4309	188	7	m	m	VERB
edu-4309	188	8	sd	sd	ADP
edu-4309	188	9	mrt	mrt	PROPN
edu-4309	188	10	53	53	NUM
edu-4309	188	11	66.94	66.94	NUM
edu-4309	188	12	14.84	14.84	NUM
edu-4309	188	13	mr	mr	PROPN
edu-4309	188	14	57	57	NUM
edu-4309	188	15	57.96	57.96	NUM
edu-4309	188	16	13.09	13.09	NUM
edu-4309	188	17	cg	cg	NOUN
edu-4309	188	18	54	54	NUM
edu-4309	188	19	64.44	64.44	NUM
edu-4309	188	20	12.17	12.17	NUM
edu-4309	188	21	mean	mean	NOUN
edu-4309	188	22	and	and	CCONJ
edu-4309	188	23	standard	standard	ADJ
edu-4309	188	24	deviation	deviation	NOUN
edu-4309	188	25	were	be	AUX
edu-4309	188	26	performed	perform	VERB
edu-4309	188	27	to	to	PART
edu-4309	188	28	summarize	summarize	VERB
edu-4309	188	29	and	and	CCONJ
edu-4309	188	30	describe	describe	VERB
edu-4309	188	31	the	the	DET
edu-4309	188	32	data	datum	NOUN
edu-4309	188	33	set	set	VERB
edu-4309	188	34	obtained	obtain	VERB
edu-4309	188	35	from	from	ADP
edu-4309	188	36	the	the	DET
edu-4309	188	37	continuous	continuous	ADJ
edu-4309	188	38	components	component	NOUN
edu-4309	188	39	of	of	ADP
edu-4309	188	40	rtf	rtf	PROPN
edu-4309	188	41	pretest	pretest	NOUN
edu-4309	188	42	.	.	PUNCT
edu-4309	189	1	the	the	DET
edu-4309	189	2	results	result	NOUN
edu-4309	189	3	reported	report	VERB
edu-4309	189	4	in	in	ADP
edu-4309	189	5	table	table	NOUN
edu-4309	189	6	3	3	NUM
edu-4309	189	7	shows	show	VERB
edu-4309	189	8	that	that	SCONJ
edu-4309	189	9	slight	slight	ADJ
edu-4309	189	10	variations	variation	NOUN
edu-4309	189	11	of	of	ADP
edu-4309	189	12	mean	mean	ADJ
edu-4309	189	13	scores	score	NOUN
edu-4309	189	14	were	be	AUX
edu-4309	189	15	detected	detect	VERB
edu-4309	189	16	among	among	ADP
edu-4309	189	17	the	the	DET
edu-4309	189	18	three	three	NUM
edu-4309	189	19	groups	group	NOUN
edu-4309	189	20	with	with	ADP
edu-4309	189	21	greater	great	ADJ
edu-4309	189	22	score	score	NOUN
edu-4309	189	23	for	for	ADP
edu-4309	189	24	the	the	DET
edu-4309	189	25	mrt	mrt	PROPN
edu-4309	190	1	(	(	PUNCT
edu-4309	190	2	m	m	PROPN
edu-4309	190	3	=	=	PROPN
edu-4309	190	4	66.94	66.94	NUM
edu-4309	190	5	,	,	PUNCT
edu-4309	190	6	sd	sd	ADP
edu-4309	190	7	=	=	SYM
edu-4309	190	8	14.84	14.84	NUM
edu-4309	190	9	)	)	PUNCT
edu-4309	190	10	than	than	ADP
edu-4309	190	11	the	the	DET
edu-4309	190	12	mr	mr	PROPN
edu-4309	190	13	(	(	PUNCT
edu-4309	190	14	m	m	PROPN
edu-4309	190	15	=	=	SYM
edu-4309	190	16	57.96	57.96	NUM
edu-4309	190	17	,	,	PUNCT
edu-4309	190	18	sd	sd	ADP
edu-4309	190	19	=	=	SYM
edu-4309	190	20	13.09	13.09	NUM
edu-4309	190	21	)	)	PUNCT
edu-4309	190	22	and	and	CCONJ
edu-4309	190	23	the	the	DET
edu-4309	190	24	cg	cg	NOUN
edu-4309	190	25	(	(	PUNCT
edu-4309	190	26	m	m	PROPN
edu-4309	190	27	=	=	SYM
edu-4309	190	28	64.44	64.44	NUM
edu-4309	190	29	,	,	PUNCT
edu-4309	190	30	sd	sd	ADP
edu-4309	190	31	=	=	NOUN
edu-4309	190	32	12.17	12.17	NUM
edu-4309	190	33	)	)	PUNCT
edu-4309	190	34	.	.	PUNCT
edu-4309	191	1	however	however	ADV
edu-4309	191	2	,	,	PUNCT
edu-4309	191	3	these	these	DET
edu-4309	191	4	results	result	NOUN
edu-4309	191	5	do	do	AUX
edu-4309	191	6	not	not	PART
edu-4309	191	7	enable	enable	VERB
edu-4309	191	8	to	to	PART
edu-4309	191	9	generalize	generalize	VERB
edu-4309	191	10	with	with	ADP
edu-4309	191	11	certain	certain	ADJ
edu-4309	191	12	level	level	NOUN
edu-4309	191	13	of	of	ADP
edu-4309	191	14	confidence	confidence	NOUN
edu-4309	191	15	and	and	CCONJ
edu-4309	191	16	significance	significance	NOUN
edu-4309	191	17	.	.	PUNCT
edu-4309	192	1	hence	hence	ADV
edu-4309	192	2	,	,	PUNCT
edu-4309	192	3	generalizing	generalize	VERB
edu-4309	192	4	the	the	DET
edu-4309	192	5	results	result	NOUN
edu-4309	192	6	was	be	AUX
edu-4309	192	7	detained	detain	VERB
edu-4309	192	8	until	until	SCONJ
edu-4309	192	9	the	the	DET
edu-4309	192	10	appropriate	appropriate	ADJ
edu-4309	192	11	inferential	inferential	ADJ
edu-4309	192	12	statistics	statistic	NOUN
edu-4309	192	13	was	be	AUX
edu-4309	192	14	performed	perform	VERB
edu-4309	192	15	.	.	PUNCT
edu-4309	193	1	table	table	NOUN
edu-4309	193	2	4	4	NUM
edu-4309	193	3	.	.	PUNCT
edu-4309	193	4	one	one	NUM
edu-4309	193	5	-	-	PUNCT
edu-4309	193	6	way	way	NOUN
edu-4309	193	7	analysis	analysis	NOUN
edu-4309	193	8	of	of	ADP
edu-4309	193	9	variance	variance	NOUN
edu-4309	193	10	results	result	NOUN
edu-4309	193	11	for	for	ADP
edu-4309	193	12	the	the	DET
edu-4309	193	13	representation	representation	NOUN
edu-4309	193	14	translation	translation	NOUN
edu-4309	193	15	fluency	fluency	NOUN
edu-4309	193	16	pretests	pretest	NOUN
edu-4309	193	17	.	.	PUNCT
edu-4309	194	1	variable	variable	ADJ
edu-4309	194	2	source	source	NOUN
edu-4309	194	3	ss	ss	PROPN
edu-4309	194	4	df	df	PROPN
edu-4309	194	5	ms	ms	PROPN
edu-4309	194	6	f	f	PROPN
edu-4309	194	7	p	p	PROPN
edu-4309	194	8	rtf	rtf	PROPN
edu-4309	194	9	pretest	pretest	NOUN
edu-4309	194	10	between	between	ADP
edu-4309	194	11	groups	group	NOUN
edu-4309	194	12	2381.91	2381.91	NUM
edu-4309	194	13	2	2	NUM
edu-4309	194	14	1190.95	1190.95	NUM
edu-4309	194	15	6.64	6.64	NUM
edu-4309	194	16	0.002	0.002	NUM
edu-4309	194	17	within	within	ADP
edu-4309	194	18	groups	group	NOUN
edu-4309	194	19	28896.09	28896.09	NUM
edu-4309	194	20	161	161	NUM
edu-4309	194	21	179.48	179.48	NUM
edu-4309	194	22	total	total	NOUN
edu-4309	194	23	31278	31278	NUM
edu-4309	194	24	163	163	NUM
edu-4309	194	25	the	the	DET
edu-4309	194	26	between	between	ADP
edu-4309	194	27	subjects	subject	NOUN
edu-4309	194	28	one	one	NUM
edu-4309	194	29	way	way	NOUN
edu-4309	194	30	analysis	analysis	NOUN
edu-4309	194	31	of	of	ADP
edu-4309	194	32	variance	variance	NOUN
edu-4309	194	33	(	(	PUNCT
edu-4309	194	34	anova	anova	PROPN
edu-4309	194	35	)	)	PUNCT
edu-4309	194	36	was	be	AUX
edu-4309	194	37	conducted	conduct	VERB
edu-4309	194	38	to	to	PART
edu-4309	194	39	compare	compare	VERB
edu-4309	194	40	the	the	DET
edu-4309	194	41	three	three	NUM
edu-4309	194	42	groups	group	NOUN
edu-4309	194	43	on	on	ADP
edu-4309	194	44	the	the	DET
edu-4309	194	45	representation	representation	NOUN
edu-4309	194	46	translation	translation	NOUN
edu-4309	194	47	fluency	fluency	NOUN
edu-4309	194	48	(	(	PUNCT
edu-4309	194	49	rtf	rtf	NOUN
edu-4309	194	50	)	)	PUNCT
edu-4309	194	51	pretests	pretest	NOUN
edu-4309	194	52	.	.	PUNCT
edu-4309	195	1	the	the	DET
edu-4309	195	2	stringent	stringent	ADJ
edu-4309	195	3	statistical	statistical	ADJ
edu-4309	195	4	assumptions	assumption	NOUN
edu-4309	195	5	for	for	ADP
edu-4309	195	6	the	the	DET
edu-4309	195	7	anova	anova	PROPN
edu-4309	195	8	model	model	NOUN
edu-4309	195	9	had	have	AUX
edu-4309	195	10	been	be	AUX
edu-4309	195	11	checked	check	VERB
edu-4309	195	12	before	before	SCONJ
edu-4309	195	13	it	it	PRON
edu-4309	195	14	was	be	AUX
edu-4309	195	15	used	use	VERB
edu-4309	195	16	for	for	ADP
edu-4309	195	17	comparing	compare	VERB
edu-4309	195	18	the	the	DET
edu-4309	195	19	groups	group	NOUN
edu-4309	195	20	.	.	PUNCT
edu-4309	196	1	these	these	DET
edu-4309	196	2	assumptions	assumption	NOUN
edu-4309	196	3	were	be	AUX
edu-4309	196	4	met	meet	VERB
edu-4309	196	5	.	.	PUNCT
edu-4309	197	1	the	the	DET
edu-4309	197	2	result	result	NOUN
edu-4309	197	3	reported	report	VERB
edu-4309	197	4	in	in	ADP
edu-4309	197	5	table	table	NOUN
edu-4309	197	6	4	4	NUM
edu-4309	197	7	shows	show	VERB
edu-4309	197	8	that	that	SCONJ
edu-4309	197	9	the	the	DET
edu-4309	197	10	three	three	NUM
edu-4309	197	11	groups	group	NOUN
edu-4309	197	12	had	have	VERB
edu-4309	197	13	statistically	statistically	ADV
edu-4309	197	14	significant	significant	ADJ
edu-4309	197	15	mean	mean	ADJ
edu-4309	197	16	differences	difference	NOUN
edu-4309	197	17	on	on	ADP
edu-4309	197	18	the	the	DET
edu-4309	197	19	rtf	rtf	NOUN
edu-4309	197	20	pretest	pretest	NOUN
edu-4309	197	21	(	(	PUNCT
edu-4309	197	22	f	f	X
edu-4309	197	23	(	(	PUNCT
edu-4309	197	24	2,161	2,161	NUM
edu-4309	197	25	)	)	PUNCT
edu-4309	197	26	=	=	SYM
edu-4309	197	27	asian	asian	ADJ
edu-4309	197	28	journal	journal	NOUN
edu-4309	197	29	of	of	ADP
edu-4309	197	30	education	education	NOUN
edu-4309	197	31	and	and	CCONJ
edu-4309	197	32	training	training	NOUN
edu-4309	197	33	,	,	PUNCT
edu-4309	197	34	2022	2022	NUM
edu-4309	197	35	,	,	PUNCT
edu-4309	197	36	8(4	8(4	NUM
edu-4309	197	37	):	):	PUNCT
edu-4309	197	38	121	121	NUM
edu-4309	197	39	-	-	SYM
edu-4309	197	40	130	130	NUM
edu-4309	197	41	126	126	NUM
edu-4309	197	42	©	©	PROPN
edu-4309	197	43	2022	2022	NUM
edu-4309	197	44	by	by	ADP
edu-4309	197	45	the	the	DET
edu-4309	197	46	authors	author	NOUN
edu-4309	197	47	;	;	PUNCT
edu-4309	197	48	licensee	licensee	PROPN
edu-4309	197	49	asian	asian	ADJ
edu-4309	197	50	online	online	PROPN
edu-4309	197	51	journal	journal	PROPN
edu-4309	197	52	publishing	publishing	NOUN
edu-4309	197	53	group	group	NOUN
edu-4309	197	54	6.64	6.64	NUM
edu-4309	197	55	,	,	PUNCT
edu-4309	197	56	p	p	X
edu-4309	197	57	=	=	NOUN
edu-4309	197	58	0.002	0.002	NUM
edu-4309	197	59	)	)	PUNCT
edu-4309	197	60	before	before	SCONJ
edu-4309	197	61	the	the	DET
edu-4309	197	62	intervention	intervention	NOUN
edu-4309	197	63	had	have	AUX
edu-4309	197	64	been	be	AUX
edu-4309	197	65	begun	begin	VERB
edu-4309	197	66	.	.	PUNCT
edu-4309	198	1	this	this	DET
edu-4309	198	2	result	result	NOUN
edu-4309	198	3	manifested	manifest	VERB
edu-4309	198	4	that	that	SCONJ
edu-4309	198	5	students	student	NOUN
edu-4309	198	6	in	in	ADP
edu-4309	198	7	the	the	DET
edu-4309	198	8	three	three	NUM
edu-4309	198	9	groups	group	NOUN
edu-4309	198	10	had	have	VERB
edu-4309	198	11	various	various	ADJ
edu-4309	198	12	experiences	experience	NOUN
edu-4309	198	13	on	on	ADP
edu-4309	198	14	the	the	DET
edu-4309	198	15	rtf	rtf	NOUN
edu-4309	198	16	in	in	ADP
edu-4309	198	17	learning	learn	VERB
edu-4309	198	18	on	on	ADP
edu-4309	198	19	the	the	DET
edu-4309	198	20	pre	pre	ADJ
edu-4309	198	21	-	-	ADJ
edu-4309	198	22	calculus	calculus	ADJ
edu-4309	198	23	concepts	concept	NOUN
edu-4309	198	24	before	before	ADP
edu-4309	198	25	the	the	DET
edu-4309	198	26	intervention	intervention	NOUN
edu-4309	198	27	.	.	PUNCT
edu-4309	199	1	the	the	DET
edu-4309	199	2	post	post	X
edu-4309	199	3	hoc	hoc	X
edu-4309	199	4	comparison	comparison	NOUN
edu-4309	199	5	using	use	VERB
edu-4309	199	6	the	the	DET
edu-4309	199	7	tukey	tukey	NOUN
edu-4309	199	8	hsd	hsd	NOUN
edu-4309	199	9	test	test	NOUN
edu-4309	199	10	verified	verify	VERB
edu-4309	199	11	that	that	SCONJ
edu-4309	199	12	mean	mean	VERB
edu-4309	199	13	score	score	NOUN
edu-4309	199	14	of	of	ADP
edu-4309	199	15	the	the	DET
edu-4309	199	16	multiple	multiple	ADJ
edu-4309	199	17	representations	representation	NOUN
edu-4309	199	18	group	group	NOUN
edu-4309	199	19	(	(	PUNCT
edu-4309	199	20	mr	mr	PROPN
edu-4309	199	21	)	)	PUNCT
edu-4309	199	22	(	(	PUNCT
edu-4309	199	23	m	m	PUNCT
edu-4309	199	24	=	=	SYM
edu-4309	199	25	57.96	57.96	NUM
edu-4309	199	26	,	,	PUNCT
edu-4309	199	27	sd	sd	ADP
edu-4309	199	28	=	=	SYM
edu-4309	199	29	13.09	13.09	NUM
edu-4309	199	30	)	)	PUNCT
edu-4309	199	31	was	be	AUX
edu-4309	199	32	significantly	significantly	ADV
edu-4309	199	33	less	less	ADJ
edu-4309	199	34	than	than	ADP
edu-4309	199	35	the	the	DET
edu-4309	199	36	geogebra	geogebra	NOUN
edu-4309	199	37	supported	support	VERB
edu-4309	199	38	multiple	multiple	ADJ
edu-4309	199	39	representations	representation	NOUN
edu-4309	199	40	(	(	PUNCT
edu-4309	199	41	mrt	mrt	NOUN
edu-4309	199	42	)	)	PUNCT
edu-4309	199	43	(	(	PUNCT
edu-4309	199	44	m	m	VERB
edu-4309	199	45	=	=	SYM
edu-4309	199	46	66.94	66.94	NUM
edu-4309	199	47	,	,	PUNCT
edu-4309	199	48	sd	sd	ADP
edu-4309	199	49	=	=	SYM
edu-4309	199	50	14.84	14.84	NUM
edu-4309	199	51	)	)	PUNCT
edu-4309	199	52	and	and	CCONJ
edu-4309	199	53	the	the	DET
edu-4309	199	54	comparison	comparison	NOUN
edu-4309	199	55	group	group	NOUN
edu-4309	199	56	(	(	PUNCT
edu-4309	199	57	cg	cg	NOUN
edu-4309	199	58	)	)	PUNCT
edu-4309	199	59	(	(	PUNCT
edu-4309	199	60	m	m	VERB
edu-4309	199	61	=	=	SYM
edu-4309	199	62	64.44	64.44	NUM
edu-4309	199	63	,	,	PUNCT
edu-4309	199	64	sd	sd	ADP
edu-4309	199	65	=	=	SYM
edu-4309	199	66	12.17	12.17	NUM
edu-4309	199	67	)	)	PUNCT
edu-4309	199	68	on	on	ADP
edu-4309	199	69	the	the	DET
edu-4309	199	70	rtf	rtf	NOUN
edu-4309	199	71	pretest	pretest	NOUN
edu-4309	199	72	.	.	PUNCT
edu-4309	200	1	the	the	DET
edu-4309	200	2	mrt	mrt	PROPN
edu-4309	200	3	did	do	AUX
edu-4309	200	4	not	not	PART
edu-4309	200	5	differ	differ	VERB
edu-4309	200	6	significantly	significantly	ADV
edu-4309	200	7	from	from	ADP
edu-4309	200	8	the	the	DET
edu-4309	200	9	cg	cg	NOUN
edu-4309	200	10	on	on	ADP
edu-4309	200	11	the	the	DET
edu-4309	200	12	rtf	rtf	NOUN
edu-4309	200	13	pretest	pretest	NOUN
edu-4309	200	14	(	(	PUNCT
edu-4309	200	15	p	p	X
edu-4309	200	16	=	=	NOUN
edu-4309	200	17	0.60	0.60	NUM
edu-4309	200	18	)	)	PUNCT
edu-4309	200	19	.	.	PUNCT
edu-4309	201	1	the	the	DET
edu-4309	201	2	base	base	NOUN
edu-4309	201	3	line	line	NOUN
edu-4309	201	4	variations	variation	NOUN
edu-4309	201	5	of	of	ADP
edu-4309	201	6	the	the	DET
edu-4309	201	7	groups	group	NOUN
edu-4309	201	8	on	on	ADP
edu-4309	201	9	the	the	DET
edu-4309	201	10	rtf	rtf	NOUN
edu-4309	201	11	before	before	SCONJ
edu-4309	201	12	the	the	DET
edu-4309	201	13	intervention	intervention	NOUN
edu-4309	201	14	were	be	AUX
edu-4309	201	15	considered	consider	VERB
edu-4309	201	16	as	as	ADP
edu-4309	201	17	a	a	DET
edu-4309	201	18	covariate	covariate	NOUN
edu-4309	201	19	for	for	ADP
edu-4309	201	20	the	the	DET
edu-4309	201	21	posttest	postt	ADJ
edu-4309	201	22	and	and	CCONJ
edu-4309	201	23	controlled	control	VERB
edu-4309	201	24	statistically	statistically	ADV
edu-4309	201	25	using	use	VERB
edu-4309	201	26	analysis	analysis	NOUN
edu-4309	201	27	of	of	ADP
edu-4309	201	28	covariance	covariance	NOUN
edu-4309	201	29	(	(	PUNCT
edu-4309	201	30	ancova	ancova	NOUN
edu-4309	201	31	)	)	PUNCT
edu-4309	201	32	.	.	PUNCT
edu-4309	202	1	table	table	NOUN
edu-4309	202	2	5	5	NUM
edu-4309	202	3	.	.	PUNCT
edu-4309	202	4	translation	translation	NOUN
edu-4309	202	5	pretest	pretest	NOUN
edu-4309	202	6	error	error	NOUN
edu-4309	202	7	–	–	PUNCT
edu-4309	202	8	group	group	NOUN
edu-4309	202	9	cross	cross	NOUN
edu-4309	202	10	tabulation	tabulation	NOUN
edu-4309	202	11	.	.	PUNCT
edu-4309	203	1	group	group	NOUN
edu-4309	203	2	error	error	NOUN
edu-4309	203	3	type	type	NOUN
edu-4309	203	4	implementation	implementation	NOUN
edu-4309	203	5	interpretation	interpretation	NOUN
edu-4309	203	6	preservation	preservation	NOUN
edu-4309	203	7	combination	combination	NOUN
edu-4309	204	1	f	f	NOUN
edu-4309	204	2	%	%	NOUN
edu-4309	205	1	f	f	NOUN
edu-4309	205	2	%	%	NOUN
edu-4309	206	1	f	f	NOUN
edu-4309	206	2	%	%	NOUN
edu-4309	207	1	f	f	PROPN
edu-4309	207	2	%	%	NOUN
edu-4309	207	3	mrt	mrt	PROPN
edu-4309	207	4	16	16	NUM
edu-4309	207	5	30	30	NUM
edu-4309	207	6	32	32	NUM
edu-4309	207	7	60	60	NUM
edu-4309	207	8	2	2	NUM
edu-4309	207	9	4	4	NUM
edu-4309	207	10	1	1	NUM
edu-4309	207	11	2	2	NUM
edu-4309	207	12	mr	mr	PROPN
edu-4309	207	13	13	13	NUM
edu-4309	207	14	23	23	NUM
edu-4309	207	15	38	38	NUM
edu-4309	207	16	67	67	NUM
edu-4309	207	17	4	4	NUM
edu-4309	207	18	7	7	NUM
edu-4309	207	19	cg	cg	NOUN
edu-4309	207	20	15	15	NUM
edu-4309	207	21	29	29	NUM
edu-4309	207	22	36	36	NUM
edu-4309	207	23	67	67	NUM
edu-4309	207	24	2	2	NUM
edu-4309	207	25	4	4	NUM
edu-4309	207	26	the	the	DET
edu-4309	207	27	types	type	NOUN
edu-4309	207	28	of	of	ADP
edu-4309	207	29	error	error	NOUN
edu-4309	207	30	that	that	PRON
edu-4309	207	31	can	can	AUX
edu-4309	207	32	be	be	AUX
edu-4309	207	33	committed	commit	VERB
edu-4309	207	34	in	in	ADP
edu-4309	207	35	the	the	DET
edu-4309	207	36	process	process	NOUN
edu-4309	207	37	of	of	ADP
edu-4309	207	38	representation	representation	NOUN
edu-4309	207	39	translations	translation	NOUN
edu-4309	207	40	are	be	AUX
edu-4309	207	41	categorized	categorize	VERB
edu-4309	207	42	into	into	ADP
edu-4309	207	43	implementation	implementation	NOUN
edu-4309	207	44	error	error	NOUN
edu-4309	207	45	,	,	PUNCT
edu-4309	207	46	interpretation	interpretation	NOUN
edu-4309	207	47	error	error	NOUN
edu-4309	207	48	,	,	PUNCT
edu-4309	207	49	preservation	preservation	NOUN
edu-4309	207	50	error	error	NOUN
edu-4309	207	51	and	and	CCONJ
edu-4309	207	52	combination	combination	NOUN
edu-4309	207	53	of	of	ADP
edu-4309	207	54	any	any	PRON
edu-4309	207	55	of	of	ADP
edu-4309	207	56	these	these	DET
edu-4309	207	57	errors	error	NOUN
edu-4309	207	58	.	.	PUNCT
edu-4309	208	1	frequency	frequency	NOUN
edu-4309	208	2	and	and	CCONJ
edu-4309	208	3	percentages	percentage	NOUN
edu-4309	208	4	were	be	AUX
edu-4309	208	5	used	use	VERB
edu-4309	208	6	to	to	PART
edu-4309	208	7	estimate	estimate	VERB
edu-4309	208	8	the	the	DET
edu-4309	208	9	most	most	ADV
edu-4309	208	10	committed	committed	ADJ
edu-4309	208	11	error	error	NOUN
edu-4309	208	12	type	type	NOUN
edu-4309	208	13	in	in	ADP
edu-4309	208	14	the	the	DET
edu-4309	208	15	pretest	pretest	NOUN
edu-4309	208	16	.	.	PUNCT
edu-4309	209	1	based	base	VERB
edu-4309	209	2	on	on	ADP
edu-4309	209	3	the	the	DET
edu-4309	209	4	results	result	NOUN
edu-4309	209	5	reported	report	VERB
edu-4309	209	6	in	in	ADP
edu-4309	209	7	table	table	NOUN
edu-4309	209	8	5	5	NUM
edu-4309	209	9	,	,	PUNCT
edu-4309	209	10	interpretation	interpretation	NOUN
edu-4309	209	11	error	error	NOUN
edu-4309	209	12	was	be	AUX
edu-4309	209	13	the	the	DET
edu-4309	209	14	most	most	ADV
edu-4309	209	15	frequently	frequently	ADV
edu-4309	209	16	committed	commit	VERB
edu-4309	209	17	with	with	ADP
edu-4309	209	18	slight	slight	ADJ
edu-4309	209	19	variations	variation	NOUN
edu-4309	209	20	among	among	ADP
edu-4309	209	21	groups	group	NOUN
edu-4309	209	22	(	(	PUNCT
edu-4309	209	23	60	60	NUM
edu-4309	209	24	%	%	NOUN
edu-4309	209	25	of	of	ADP
edu-4309	209	26	the	the	DET
edu-4309	209	27	geogebra	geogebra	NOUN
edu-4309	209	28	supported	support	VERB
edu-4309	209	29	multiple	multiple	ADJ
edu-4309	209	30	representation	representation	NOUN
edu-4309	209	31	group	group	NOUN
edu-4309	209	32	(	(	PUNCT
edu-4309	209	33	mrt	mrt	PROPN
edu-4309	209	34	)	)	PUNCT
edu-4309	209	35	,	,	PUNCT
edu-4309	209	36	67	67	NUM
edu-4309	209	37	%	%	NOUN
edu-4309	209	38	of	of	ADP
edu-4309	209	39	the	the	DET
edu-4309	209	40	multiple	multiple	ADJ
edu-4309	209	41	representations	representation	NOUN
edu-4309	209	42	group	group	NOUN
edu-4309	209	43	(	(	PUNCT
edu-4309	209	44	mr	mr	PROPN
edu-4309	209	45	)	)	PUNCT
edu-4309	209	46	&	&	CCONJ
edu-4309	209	47	67	67	NUM
edu-4309	209	48	%	%	NOUN
edu-4309	209	49	of	of	ADP
edu-4309	209	50	the	the	DET
edu-4309	209	51	cg	cg	NOUN
edu-4309	209	52	)	)	PUNCT
edu-4309	209	53	next	next	ADV
edu-4309	209	54	to	to	ADP
edu-4309	209	55	implementation	implementation	NOUN
edu-4309	209	56	error	error	NOUN
edu-4309	209	57	(	(	PUNCT
edu-4309	209	58	30	30	NUM
edu-4309	209	59	%	%	NOUN
edu-4309	209	60	of	of	ADP
edu-4309	209	61	the	the	DET
edu-4309	209	62	mrt	mrt	PROPN
edu-4309	209	63	,	,	PUNCT
edu-4309	209	64	23	23	NUM
edu-4309	209	65	%	%	NOUN
edu-4309	209	66	of	of	ADP
edu-4309	209	67	the	the	DET
edu-4309	209	68	mr	mr	PROPN
edu-4309	209	69	&	&	CCONJ
edu-4309	209	70	29	29	NUM
edu-4309	209	71	%	%	NOUN
edu-4309	209	72	of	of	ADP
edu-4309	209	73	the	the	DET
edu-4309	209	74	comparison	comparison	NOUN
edu-4309	209	75	group	group	NOUN
edu-4309	209	76	(	(	PUNCT
edu-4309	209	77	cg	cg	NOUN
edu-4309	209	78	)	)	PUNCT
edu-4309	209	79	)	)	PUNCT
edu-4309	209	80	.	.	PUNCT
edu-4309	210	1	5.2	5.2	NUM
edu-4309	210	2	.	.	PUNCT
edu-4309	211	1	post	post	NOUN
edu-4309	211	2	intervention	intervention	NOUN
edu-4309	211	3	results	result	VERB
edu-4309	211	4	once	once	SCONJ
edu-4309	211	5	the	the	DET
edu-4309	211	6	researchers	researcher	NOUN
edu-4309	211	7	become	become	VERB
edu-4309	211	8	sure	sure	ADJ
edu-4309	211	9	that	that	SCONJ
edu-4309	211	10	there	there	PRON
edu-4309	211	11	were	be	VERB
edu-4309	211	12	no	no	DET
edu-4309	211	13	silly	silly	ADJ
edu-4309	211	14	errors	error	NOUN
edu-4309	211	15	in	in	ADP
edu-4309	211	16	the	the	DET
edu-4309	211	17	data	datum	NOUN
edu-4309	211	18	set	set	VERB
edu-4309	211	19	collected	collect	VERB
edu-4309	211	20	from	from	ADP
edu-4309	211	21	the	the	DET
edu-4309	211	22	post	post	NOUN
edu-4309	211	23	administrated	administrate	VERB
edu-4309	211	24	instruments	instrument	NOUN
edu-4309	211	25	(	(	PUNCT
edu-4309	211	26	for	for	ADP
edu-4309	211	27	instance	instance	NOUN
edu-4309	211	28	,	,	PUNCT
edu-4309	211	29	avoiding	avoid	VERB
edu-4309	211	30	out	out	ADP
edu-4309	211	31	of	of	ADP
edu-4309	211	32	range	range	NOUN
edu-4309	211	33	scores	score	NOUN
edu-4309	211	34	in	in	ADP
edu-4309	211	35	any	any	PRON
edu-4309	211	36	of	of	ADP
edu-4309	211	37	the	the	DET
edu-4309	211	38	instruments	instrument	NOUN
edu-4309	211	39	)	)	PUNCT
edu-4309	211	40	,	,	PUNCT
edu-4309	211	41	a	a	DET
edu-4309	211	42	preliminary	preliminary	ADJ
edu-4309	211	43	data	data	NOUN
edu-4309	211	44	analysis	analysis	NOUN
edu-4309	211	45	was	be	AUX
edu-4309	211	46	done	do	VERB
edu-4309	211	47	on	on	ADP
edu-4309	211	48	the	the	DET
edu-4309	211	49	construct	construct	NOUN
edu-4309	211	50	of	of	ADP
edu-4309	211	51	rtf	rtf	NOUN
edu-4309	211	52	to	to	PART
edu-4309	211	53	check	check	VERB
edu-4309	211	54	the	the	DET
edu-4309	211	55	stringent	stringent	ADJ
edu-4309	211	56	statistical	statistical	ADJ
edu-4309	211	57	assumptions	assumption	NOUN
edu-4309	211	58	for	for	ADP
edu-4309	211	59	the	the	DET
edu-4309	211	60	underlined	underlined	ADJ
edu-4309	211	61	statistical	statistical	ADJ
edu-4309	211	62	methods	method	NOUN
edu-4309	211	63	.	.	PUNCT
edu-4309	212	1	these	these	DET
edu-4309	212	2	preliminary	preliminary	ADJ
edu-4309	212	3	activities	activity	NOUN
edu-4309	212	4	paved	pave	VERB
edu-4309	212	5	the	the	DET
edu-4309	212	6	way	way	NOUN
edu-4309	212	7	to	to	PART
edu-4309	212	8	choose	choose	VERB
edu-4309	212	9	correct	correct	ADJ
edu-4309	212	10	and	and	CCONJ
edu-4309	212	11	appropriate	appropriate	ADJ
edu-4309	212	12	statistical	statistical	ADJ
edu-4309	212	13	tools	tool	NOUN
edu-4309	212	14	and	and	CCONJ
edu-4309	212	15	techniques	technique	NOUN
edu-4309	212	16	to	to	PART
edu-4309	212	17	address	address	VERB
edu-4309	212	18	the	the	DET
edu-4309	212	19	formulated	formulated	ADJ
edu-4309	212	20	research	research	NOUN
edu-4309	212	21	questions	question	NOUN
edu-4309	212	22	of	of	ADP
edu-4309	212	23	this	this	DET
edu-4309	212	24	study	study	NOUN
edu-4309	212	25	.	.	PUNCT
edu-4309	213	1	as	as	SCONJ
edu-4309	213	2	this	this	DET
edu-4309	213	3	research	research	NOUN
edu-4309	213	4	design	design	NOUN
edu-4309	213	5	was	be	AUX
edu-4309	213	6	a	a	DET
edu-4309	213	7	nonequivalent	nonequivalent	ADJ
edu-4309	213	8	groups	group	NOUN
edu-4309	213	9	quasi	quasi	ADJ
edu-4309	213	10	-	-	ADJ
edu-4309	213	11	experimental	experimental	ADJ
edu-4309	213	12	research	research	NOUN
edu-4309	213	13	design	design	NOUN
edu-4309	213	14	,	,	PUNCT
edu-4309	213	15	most	most	ADJ
edu-4309	213	16	of	of	ADP
edu-4309	213	17	the	the	DET
edu-4309	213	18	statistical	statistical	ADJ
edu-4309	213	19	tools	tool	NOUN
edu-4309	213	20	that	that	PRON
edu-4309	213	21	were	be	AUX
edu-4309	213	22	chosen	choose	VERB
edu-4309	213	23	focused	focus	VERB
edu-4309	213	24	on	on	ADP
edu-4309	213	25	estimating	estimate	VERB
edu-4309	213	26	the	the	DET
edu-4309	213	27	differences	difference	NOUN
edu-4309	213	28	between	between	ADP
edu-4309	213	29	groups	group	NOUN
edu-4309	213	30	on	on	ADP
edu-4309	213	31	data	datum	NOUN
edu-4309	213	32	scores	score	NOUN
edu-4309	213	33	from	from	ADP
edu-4309	213	34	the	the	DET
edu-4309	213	35	post	post	NOUN
edu-4309	213	36	administrated	administrate	VERB
edu-4309	213	37	instruments	instrument	NOUN
edu-4309	213	38	as	as	ADP
edu-4309	213	39	a	a	DET
edu-4309	213	40	result	result	NOUN
edu-4309	213	41	of	of	ADP
edu-4309	213	42	the	the	DET
edu-4309	213	43	differentiated	differentiated	ADJ
edu-4309	213	44	treatment	treatment	NOUN
edu-4309	213	45	type	type	NOUN
edu-4309	213	46	.	.	PUNCT
edu-4309	214	1	in	in	ADP
edu-4309	214	2	choosing	choose	VERB
edu-4309	214	3	the	the	DET
edu-4309	214	4	right	right	PROPN
edu-4309	214	5	statistic	statistic	NOUN
edu-4309	214	6	,	,	PUNCT
edu-4309	214	7	a	a	DET
edu-4309	214	8	number	number	NOUN
edu-4309	214	9	of	of	ADP
edu-4309	214	10	decisive	decisive	ADJ
edu-4309	214	11	factors	factor	NOUN
edu-4309	214	12	were	be	AUX
edu-4309	214	13	taken	take	VERB
edu-4309	214	14	into	into	ADP
edu-4309	214	15	great	great	ADJ
edu-4309	214	16	considerations	consideration	NOUN
edu-4309	214	17	.	.	PUNCT
edu-4309	215	1	table	table	NOUN
edu-4309	215	2	6	6	NUM
edu-4309	215	3	.	.	PUNCT
edu-4309	215	4	means	mean	NOUN
edu-4309	215	5	and	and	CCONJ
edu-4309	215	6	standard	standard	ADJ
edu-4309	215	7	deviations	deviation	NOUN
edu-4309	215	8	of	of	ADP
edu-4309	215	9	the	the	DET
edu-4309	215	10	representation	representation	NOUN
edu-4309	215	11	translation	translation	NOUN
edu-4309	215	12	fluency	fluency	NOUN
edu-4309	215	13	posttest	posttest	NOUN
edu-4309	215	14	.	.	PUNCT
edu-4309	216	1	group	group	NOUN
edu-4309	216	2	n	n	NOUN
edu-4309	216	3	representation	representation	NOUN
edu-4309	216	4	translation	translation	NOUN
edu-4309	216	5	fluency	fluency	NOUN
edu-4309	216	6	posttest	postt	ADJ
edu-4309	216	7	m	m	PROPN
edu-4309	216	8	sd	sd	ADP
edu-4309	216	9	mrt	mrt	PROPN
edu-4309	216	10	53	53	NUM
edu-4309	216	11	22.79	22.79	NUM
edu-4309	216	12	3.09	3.09	NUM
edu-4309	216	13	mr	mr	PROPN
edu-4309	216	14	57	57	NUM
edu-4309	216	15	21.12	21.12	NUM
edu-4309	216	16	3.55	3.55	NUM
edu-4309	216	17	cg	cg	NOUN
edu-4309	216	18	54	54	NUM
edu-4309	216	19	20.94	20.94	NUM
edu-4309	216	20	3.02	3.02	NUM
edu-4309	216	21	based	base	VERB
edu-4309	216	22	on	on	ADP
edu-4309	216	23	the	the	DET
edu-4309	216	24	descriptive	descriptive	ADJ
edu-4309	216	25	statistics	statistic	NOUN
edu-4309	216	26	results	result	NOUN
edu-4309	216	27	reported	report	VERB
edu-4309	216	28	in	in	ADP
edu-4309	216	29	table	table	NOUN
edu-4309	216	30	6	6	NUM
edu-4309	216	31	,	,	PUNCT
edu-4309	216	32	slight	slight	ADJ
edu-4309	216	33	variations	variation	NOUN
edu-4309	216	34	were	be	AUX
edu-4309	216	35	detected	detect	VERB
edu-4309	216	36	among	among	ADP
edu-4309	216	37	the	the	DET
edu-4309	216	38	groups	group	NOUN
edu-4309	216	39	on	on	ADP
edu-4309	216	40	the	the	DET
edu-4309	216	41	indicated	indicate	VERB
edu-4309	216	42	variable	variable	NOUN
edu-4309	216	43	.	.	PUNCT
edu-4309	217	1	it	it	PRON
edu-4309	217	2	would	would	AUX
edu-4309	217	3	be	be	AUX
edu-4309	217	4	a	a	DET
edu-4309	217	5	hasty	hasty	ADJ
edu-4309	217	6	generalization	generalization	NOUN
edu-4309	217	7	ahead	ahead	ADV
edu-4309	217	8	of	of	ADP
edu-4309	217	9	implementing	implement	VERB
edu-4309	217	10	the	the	DET
edu-4309	217	11	appropriate	appropriate	ADJ
edu-4309	217	12	inferential	inferential	ADJ
edu-4309	217	13	statistic	statistic	NOUN
edu-4309	217	14	,	,	PUNCT
edu-4309	217	15	however	however	ADV
edu-4309	217	16	to	to	PART
edu-4309	217	17	provide	provide	VERB
edu-4309	217	18	conclusive	conclusive	ADJ
edu-4309	217	19	information	information	NOUN
edu-4309	217	20	based	base	VERB
edu-4309	217	21	on	on	ADP
edu-4309	217	22	the	the	DET
edu-4309	217	23	results	result	NOUN
edu-4309	217	24	of	of	ADP
edu-4309	217	25	the	the	DET
edu-4309	217	26	descriptive	descriptive	ADJ
edu-4309	217	27	statistics	statistic	NOUN
edu-4309	217	28	.	.	PUNCT
edu-4309	218	1	table	table	NOUN
edu-4309	218	2	7	7	NUM
edu-4309	218	3	.	.	PUNCT
edu-4309	219	1	analysis	analysis	NOUN
edu-4309	219	2	of	of	ADP
edu-4309	219	3	covariance	covariance	NOUN
edu-4309	219	4	result	result	NOUN
edu-4309	219	5	of	of	ADP
edu-4309	219	6	the	the	DET
edu-4309	219	7	representation	representation	NOUN
edu-4309	219	8	translation	translation	NOUN
edu-4309	219	9	fluency	fluency	NOUN
edu-4309	219	10	posttests	posttest	NOUN
edu-4309	219	11	using	use	VERB
edu-4309	219	12	the	the	DET
edu-4309	219	13	pretest	pretest	NOUN
edu-4309	219	14	as	as	ADP
edu-4309	219	15	covariate	covariate	NOUN
edu-4309	219	16	.	.	PUNCT
edu-4309	220	1	dv	dv	PROPN
edu-4309	220	2	source	source	PROPN
edu-4309	220	3	type	type	PROPN
edu-4309	220	4	iii	iii	PROPN
edu-4309	220	5	ss	ss	NOUN
edu-4309	220	6	df	df	PROPN
edu-4309	220	7	ms	ms	PROPN
edu-4309	220	8	f	f	PROPN
edu-4309	221	1	p	p	PROPN
edu-4309	221	2	partial	partial	ADJ
edu-4309	221	3	𝛈𝟐	𝛈𝟐	PROPN
edu-4309	221	4	rtf	rtf	PROPN
edu-4309	221	5	posttest	posttest	ADV
edu-4309	221	6	pretest	pretest	NOUN
edu-4309	221	7	0.81	0.81	NUM
edu-4309	221	8	1	1	NUM
edu-4309	221	9	0.81	0.81	NUM
edu-4309	221	10	0.08	0.08	NUM
edu-4309	221	11	0.782	0.782	NUM
edu-4309	221	12	0.000	0.000	NUM
edu-4309	221	13	group	group	NOUN
edu-4309	221	14	111.30	111.30	NUM
edu-4309	221	15	2	2	NUM
edu-4309	221	16	55.65	55.65	NUM
edu-4309	221	17	5.29	5.29	NUM
edu-4309	221	18	0.006	0.006	NUM
edu-4309	221	19	0.062	0.062	NUM
edu-4309	221	20	error	error	NOUN
edu-4309	221	21	1684.88	1684.88	NUM
edu-4309	221	22	160	160	NUM
edu-4309	221	23	10.53	10.53	NUM
edu-4309	221	24	note	note	NOUN
edu-4309	221	25	:	:	PUNCT
edu-4309	221	26	dv	dv	PROPN
edu-4309	221	27	:	:	PUNCT
edu-4309	221	28	dependent	dependent	ADJ
edu-4309	221	29	variable	variable	NOUN
edu-4309	221	30	.	.	PUNCT
edu-4309	222	1	r	r	NOUN
edu-4309	222	2	squared	square	VERB
edu-4309	222	3	=	=	SYM
edu-4309	222	4	0.063	0.063	NUM
edu-4309	222	5	(	(	PUNCT
edu-4309	222	6	adjusted	adjust	VERB
edu-4309	222	7	r	r	NOUN
edu-4309	222	8	squared	square	VERB
edu-4309	222	9	=	=	NOUN
edu-4309	222	10	0.045	0.045	NUM
edu-4309	222	11	)	)	PUNCT
edu-4309	222	12	for	for	ADP
edu-4309	222	13	the	the	DET
edu-4309	222	14	rtf	rtf	PROPN
edu-4309	222	15	posttest	postt	ADJ
edu-4309	222	16	.	.	PUNCT
edu-4309	223	1	table	table	NOUN
edu-4309	223	2	8	8	NUM
edu-4309	223	3	.	.	PUNCT
edu-4309	224	1	pairwise	pairwise	NOUN
edu-4309	224	2	comparisons	comparison	NOUN
edu-4309	224	3	on	on	ADP
edu-4309	224	4	the	the	DET
edu-4309	224	5	representation	representation	NOUN
edu-4309	224	6	translation	translation	NOUN
edu-4309	224	7	fluency	fluency	NOUN
edu-4309	224	8	posttest	posttest	NOUN
edu-4309	224	9	.	.	PUNCT
edu-4309	225	1	dv	dv	PROPN
edu-4309	225	2	(	(	PUNCT
edu-4309	225	3	i	i	NOUN
edu-4309	225	4	)	)	PUNCT
edu-4309	225	5	group	group	NOUN
edu-4309	225	6	(	(	PUNCT
edu-4309	225	7	j	j	PROPN
edu-4309	225	8	)	)	PUNCT
edu-4309	225	9	group	group	NOUN
edu-4309	225	10	md	md	PROPN
edu-4309	225	11	(	(	PUNCT
edu-4309	225	12	i	i	PROPN
edu-4309	225	13	-	-	PROPN
edu-4309	225	14	j	j	NOUN
edu-4309	225	15	)	)	PUNCT
edu-4309	225	16	p	p	PROPN
edu-4309	225	17	rtf	rtf	PROPN
edu-4309	225	18	posttest	postt	ADJ
edu-4309	225	19	mrt	mrt	PROPN
edu-4309	225	20	mr	mr	PROPN
edu-4309	225	21	1.72	1.72	NUM
edu-4309	225	22	0.025	0.025	NUM
edu-4309	225	23	cg	cg	NOUN
edu-4309	225	24	1.86	1.86	NUM
edu-4309	225	25	0.011	0.011	NUM
edu-4309	225	26	mr	mr	PROPN
edu-4309	225	27	mrt	mrt	PROPN
edu-4309	225	28	-1.72	-1.72	ADP
edu-4309	225	29	0.025	0.025	NUM
edu-4309	225	30	cg	cg	NOUN
edu-4309	225	31	0.14	0.14	NUM
edu-4309	225	32	1.000	1.000	NUM
edu-4309	225	33	note	note	NOUN
edu-4309	225	34	:	:	PUNCT
edu-4309	225	35	dv	dv	PROPN
edu-4309	225	36	:	:	PUNCT
edu-4309	225	37	dependent	dependent	ADJ
edu-4309	225	38	variable	variable	NOUN
edu-4309	225	39	.	.	PUNCT
edu-4309	226	1	a	a	DET
edu-4309	226	2	one	one	NUM
edu-4309	226	3	way	way	NOUN
edu-4309	226	4	analysis	analysis	NOUN
edu-4309	226	5	of	of	ADP
edu-4309	226	6	covariance	covariance	NOUN
edu-4309	226	7	(	(	PUNCT
edu-4309	226	8	ancova	ancova	NOUN
edu-4309	226	9	)	)	PUNCT
edu-4309	226	10	was	be	AUX
edu-4309	226	11	carried	carry	VERB
edu-4309	226	12	out	out	ADP
edu-4309	226	13	to	to	PART
edu-4309	226	14	compare	compare	VERB
edu-4309	226	15	the	the	DET
edu-4309	226	16	groups	group	NOUN
edu-4309	226	17	on	on	ADP
edu-4309	226	18	the	the	DET
edu-4309	226	19	representation	representation	NOUN
edu-4309	226	20	translation	translation	NOUN
edu-4309	226	21	fluency	fluency	NOUN
edu-4309	226	22	(	(	PUNCT
edu-4309	226	23	rtf	rtf	NOUN
edu-4309	226	24	)	)	PUNCT
edu-4309	226	25	posttest	postt	ADJ
edu-4309	226	26	while	while	SCONJ
edu-4309	226	27	controlling	control	VERB
edu-4309	226	28	the	the	DET
edu-4309	226	29	rtf	rtf	NOUN
edu-4309	226	30	pretest	pretest	NOUN
edu-4309	226	31	.	.	PUNCT
edu-4309	227	1	preliminary	preliminary	ADJ
edu-4309	227	2	analyses	analysis	NOUN
edu-4309	227	3	were	be	AUX
edu-4309	227	4	carried	carry	VERB
edu-4309	227	5	out	out	ADP
edu-4309	227	6	to	to	PART
edu-4309	227	7	check	check	VERB
edu-4309	227	8	the	the	DET
edu-4309	227	9	statistical	statistical	ADJ
edu-4309	227	10	assumption	assumption	NOUN
edu-4309	227	11	for	for	ADP
edu-4309	227	12	the	the	DET
edu-4309	227	13	underlined	underlined	ADJ
edu-4309	227	14	statistical	statistical	ADJ
edu-4309	227	15	method	method	NOUN
edu-4309	227	16	and	and	CCONJ
edu-4309	227	17	assumptions	assumption	NOUN
edu-4309	227	18	were	be	AUX
edu-4309	227	19	met	meet	VERB
edu-4309	227	20	(	(	PUNCT
edu-4309	227	21	pallant	pallant	NOUN
edu-4309	227	22	,	,	PUNCT
edu-4309	227	23	2013	2013	NUM
edu-4309	227	24	)	)	PUNCT
edu-4309	227	25	.	.	PUNCT
edu-4309	228	1	according	accord	VERB
edu-4309	228	2	to	to	ADP
edu-4309	228	3	the	the	DET
edu-4309	228	4	one	one	NUM
edu-4309	228	5	way	way	NOUN
edu-4309	228	6	ancova	ancova	NOUN
edu-4309	228	7	result	result	NOUN
edu-4309	228	8	reported	report	VERB
edu-4309	228	9	in	in	ADP
edu-4309	228	10	table	table	NOUN
edu-4309	228	11	7	7	NUM
edu-4309	228	12	,	,	PUNCT
edu-4309	228	13	there	there	PRON
edu-4309	228	14	was	be	VERB
edu-4309	228	15	statistically	statistically	ADV
edu-4309	228	16	significant	significant	ADJ
edu-4309	228	17	adjusted	adjust	VERB
edu-4309	228	18	mean	mean	NOUN
edu-4309	228	19	different	different	ADJ
edu-4309	228	20	among	among	ADP
edu-4309	228	21	the	the	DET
edu-4309	228	22	groups	group	NOUN
edu-4309	228	23	on	on	ADP
edu-4309	228	24	the	the	DET
edu-4309	228	25	rtf	rtf	NOUN
edu-4309	228	26	posttest	posttest	NOUN
edu-4309	228	27	after	after	ADP
edu-4309	228	28	controlling	control	VERB
edu-4309	228	29	the	the	DET
edu-4309	228	30	rtf	rtf	NOUN
edu-4309	228	31	pretest	pretest	NOUN
edu-4309	228	32	(	(	PUNCT
edu-4309	228	33	f(2,160	f(2,160	PROPN
edu-4309	228	34	)	)	PUNCT
edu-4309	228	35	=	=	NUM
edu-4309	228	36	5.29	5.29	NUM
edu-4309	228	37	,	,	PUNCT
edu-4309	228	38	p	p	X
edu-4309	228	39	=	=	NOUN
edu-4309	228	40	0.006	0.006	NUM
edu-4309	228	41	,	,	PUNCT
edu-4309	228	42	partial	partial	ADJ
edu-4309	228	43	𝜂2	𝜂2	NOUN
edu-4309	228	44	=	=	NOUN
edu-4309	228	45	0.062	0.062	NUM
edu-4309	228	46	)	)	PUNCT
edu-4309	228	47	.	.	PUNCT
edu-4309	229	1	regardless	regardless	ADV
edu-4309	229	2	of	of	ADP
edu-4309	229	3	the	the	DET
edu-4309	229	4	statistically	statistically	ADV
edu-4309	229	5	significant	significant	ADJ
edu-4309	229	6	difference	difference	NOUN
edu-4309	229	7	,	,	PUNCT
edu-4309	229	8	the	the	DET
edu-4309	229	9	mean	mean	ADJ
edu-4309	229	10	differences	difference	NOUN
edu-4309	229	11	between	between	ADP
edu-4309	229	12	the	the	DET
edu-4309	229	13	groups	group	NOUN
edu-4309	229	14	were	be	AUX
edu-4309	229	15	quite	quite	ADV
edu-4309	229	16	small	small	ADJ
edu-4309	229	17	.	.	PUNCT
edu-4309	230	1	this	this	PRON
edu-4309	230	2	was	be	AUX
edu-4309	230	3	manifested	manifest	VERB
edu-4309	230	4	in	in	ADP
edu-4309	230	5	the	the	DET
edu-4309	230	6	effect	effect	NOUN
edu-4309	230	7	size	size	NOUN
edu-4309	230	8	that	that	SCONJ
edu-4309	230	9	6.2	6.2	NUM
edu-4309	230	10	%	%	NOUN
edu-4309	230	11	of	of	ADP
edu-4309	230	12	the	the	DET
edu-4309	230	13	variance	variance	NOUN
edu-4309	230	14	was	be	AUX
edu-4309	230	15	explained	explain	VERB
edu-4309	230	16	by	by	ADP
edu-4309	230	17	the	the	DET
edu-4309	230	18	treatment	treatment	NOUN
edu-4309	230	19	type	type	NOUN
edu-4309	230	20	.	.	PUNCT
edu-4309	231	1	a	a	DET
edu-4309	231	2	multiple	multiple	ADJ
edu-4309	231	3	comparison	comparison	NOUN
edu-4309	231	4	results	result	NOUN
edu-4309	231	5	of	of	ADP
edu-4309	231	6	the	the	DET
edu-4309	231	7	rft	rft	NOUN
edu-4309	231	8	posttest	posttest	NOUN
edu-4309	231	9	,	,	PUNCT
edu-4309	231	10	reported	report	VERB
edu-4309	231	11	in	in	ADP
edu-4309	231	12	table	table	NOUN
edu-4309	231	13	8	8	NUM
edu-4309	231	14	,	,	PUNCT
edu-4309	231	15	shows	show	VERB
edu-4309	231	16	that	that	SCONJ
edu-4309	231	17	a	a	DET
edu-4309	231	18	significant	significant	ADJ
edu-4309	231	19	difference	difference	NOUN
edu-4309	231	20	was	be	AUX
edu-4309	231	21	detected	detect	VERB
edu-4309	231	22	between	between	ADP
edu-4309	231	23	the	the	DET
edu-4309	231	24	geogebra	geogebra	NOUN
edu-4309	231	25	supported	support	VERB
edu-4309	231	26	multiple	multiple	ADJ
edu-4309	231	27	representations	representation	NOUN
edu-4309	231	28	(	(	PUNCT
edu-4309	231	29	mrt	mrt	NOUN
edu-4309	231	30	)	)	PUNCT
edu-4309	231	31	and	and	CCONJ
edu-4309	231	32	the	the	DET
edu-4309	231	33	multiple	multiple	ADJ
edu-4309	231	34	representations	representation	NOUN
edu-4309	231	35	group	group	NOUN
edu-4309	231	36	asian	asian	ADJ
edu-4309	231	37	journal	journal	NOUN
edu-4309	231	38	of	of	ADP
edu-4309	231	39	education	education	NOUN
edu-4309	231	40	and	and	CCONJ
edu-4309	231	41	training	training	NOUN
edu-4309	231	42	,	,	PUNCT
edu-4309	231	43	2022	2022	NUM
edu-4309	231	44	,	,	PUNCT
edu-4309	231	45	8(4	8(4	NUM
edu-4309	231	46	):	):	PUNCT
edu-4309	231	47	121	121	NUM
edu-4309	231	48	-	-	SYM
edu-4309	231	49	130	130	NUM
edu-4309	231	50	127	127	NUM
edu-4309	231	51	©	©	ADP
edu-4309	231	52	2022	2022	NUM
edu-4309	231	53	by	by	ADP
edu-4309	231	54	the	the	DET
edu-4309	231	55	authors	author	NOUN
edu-4309	231	56	;	;	PUNCT
edu-4309	231	57	licensee	licensee	PROPN
edu-4309	231	58	asian	asian	ADJ
edu-4309	231	59	online	online	PROPN
edu-4309	231	60	journal	journal	PROPN
edu-4309	231	61	publishing	publishing	NOUN
edu-4309	231	62	group	group	NOUN
edu-4309	231	63	(	(	PUNCT
edu-4309	231	64	mr	mr	PROPN
edu-4309	231	65	)	)	PUNCT
edu-4309	231	66	(	(	PUNCT
edu-4309	231	67	p	p	X
edu-4309	231	68	=	=	PUNCT
edu-4309	231	69	0.025	0.025	NUM
edu-4309	231	70	)	)	PUNCT
edu-4309	231	71	and	and	CCONJ
edu-4309	231	72	between	between	ADP
edu-4309	231	73	the	the	DET
edu-4309	231	74	mrt	mrt	PROPN
edu-4309	231	75	and	and	CCONJ
edu-4309	231	76	the	the	DET
edu-4309	231	77	comparison	comparison	NOUN
edu-4309	231	78	group	group	NOUN
edu-4309	231	79	(	(	PUNCT
edu-4309	231	80	cg	cg	NOUN
edu-4309	231	81	)	)	PUNCT
edu-4309	231	82	(	(	PUNCT
edu-4309	231	83	p	p	X
edu-4309	231	84	=	=	NOUN
edu-4309	231	85	0.011	0.011	NUM
edu-4309	231	86	)	)	PUNCT
edu-4309	231	87	in	in	ADP
edu-4309	231	88	favor	favor	NOUN
edu-4309	231	89	of	of	ADP
edu-4309	231	90	the	the	DET
edu-4309	231	91	mrt	mrt	PROPN
edu-4309	231	92	.	.	PUNCT
edu-4309	232	1	but	but	CCONJ
edu-4309	232	2	,	,	PUNCT
edu-4309	232	3	no	no	DET
edu-4309	232	4	significance	significance	NOUN
edu-4309	232	5	difference	difference	NOUN
edu-4309	232	6	between	between	ADP
edu-4309	232	7	the	the	DET
edu-4309	232	8	mr	mr	PROPN
edu-4309	232	9	and	and	CCONJ
edu-4309	232	10	cg	cg	PROPN
edu-4309	232	11	(	(	PUNCT
edu-4309	232	12	p	p	NOUN
edu-4309	232	13	=	=	NOUN
edu-4309	232	14	1.000	1.000	NUM
edu-4309	232	15	)	)	PUNCT
edu-4309	232	16	.	.	PUNCT
edu-4309	233	1	this	this	DET
edu-4309	233	2	result	result	NOUN
edu-4309	233	3	revealed	reveal	VERB
edu-4309	233	4	that	that	SCONJ
edu-4309	233	5	geogebra	geogebra	NOUN
edu-4309	233	6	supported	support	VERB
edu-4309	233	7	multiple	multiple	ADJ
edu-4309	233	8	representations	representation	NOUN
edu-4309	233	9	approaches	approach	NOUN
edu-4309	233	10	brought	bring	VERB
edu-4309	233	11	a	a	DET
edu-4309	233	12	better	well	ADJ
edu-4309	233	13	level	level	NOUN
edu-4309	233	14	of	of	ADP
edu-4309	233	15	sophistication	sophistication	NOUN
edu-4309	233	16	in	in	ADP
edu-4309	233	17	rtf	rtf	PROPN
edu-4309	233	18	than	than	ADP
edu-4309	233	19	the	the	DET
edu-4309	233	20	multiple	multiple	ADJ
edu-4309	233	21	representations	representation	NOUN
edu-4309	233	22	approach	approach	NOUN
edu-4309	233	23	only	only	ADV
edu-4309	233	24	and	and	CCONJ
edu-4309	233	25	the	the	DET
edu-4309	233	26	traditional	traditional	ADJ
edu-4309	233	27	approach	approach	NOUN
edu-4309	233	28	.	.	PUNCT
edu-4309	234	1	translation	translation	NOUN
edu-4309	234	2	among	among	ADP
edu-4309	234	3	mathematical	mathematical	ADJ
edu-4309	234	4	representations	representation	NOUN
edu-4309	234	5	has	have	VERB
edu-4309	234	6	a	a	DET
edu-4309	234	7	powerful	powerful	ADJ
edu-4309	234	8	influence	influence	NOUN
edu-4309	234	9	on	on	ADP
edu-4309	234	10	the	the	DET
edu-4309	234	11	students	student	NOUN
edu-4309	234	12	’	’	PART
edu-4309	234	13	concept	concept	NOUN
edu-4309	234	14	comprehension	comprehension	NOUN
edu-4309	234	15	and	and	CCONJ
edu-4309	234	16	problem	problem	NOUN
edu-4309	234	17	solving	solving	NOUN
edu-4309	234	18	(	(	PUNCT
edu-4309	234	19	afriyani	afriyani	PROPN
edu-4309	234	20	et	et	PROPN
edu-4309	234	21	al	al	PROPN
edu-4309	234	22	.	.	PROPN
edu-4309	234	23	,	,	PUNCT
edu-4309	234	24	2018	2018	NUM
edu-4309	234	25	)	)	PUNCT
edu-4309	234	26	.	.	PUNCT
edu-4309	235	1	however	however	ADV
edu-4309	235	2	,	,	PUNCT
edu-4309	235	3	research	research	NOUN
edu-4309	235	4	results	result	NOUN
edu-4309	235	5	show	show	VERB
edu-4309	235	6	that	that	SCONJ
edu-4309	235	7	students	student	NOUN
edu-4309	235	8	often	often	ADV
edu-4309	235	9	fail	fail	VERB
edu-4309	235	10	to	to	PART
edu-4309	235	11	construct	construct	VERB
edu-4309	235	12	target	target	NOUN
edu-4309	235	13	representation	representation	NOUN
edu-4309	235	14	equivalent	equivalent	ADJ
edu-4309	235	15	to	to	ADP
edu-4309	235	16	the	the	DET
edu-4309	235	17	source	source	NOUN
edu-4309	235	18	representation	representation	NOUN
edu-4309	235	19	(	(	PUNCT
edu-4309	235	20	adu	adu	ADJ
edu-4309	235	21	-	-	PUNCT
edu-4309	235	22	gyamfi	gyamfi	NOUN
edu-4309	235	23	et	et	PROPN
edu-4309	235	24	al	al	PROPN
edu-4309	235	25	.	.	PROPN
edu-4309	235	26	,	,	PUNCT
edu-4309	235	27	2012	2012	NUM
edu-4309	235	28	;	;	PUNCT
edu-4309	235	29	afriyani	afriyani	NOUN
edu-4309	235	30	et	et	PROPN
edu-4309	235	31	al	al	PROPN
edu-4309	235	32	.	.	PROPN
edu-4309	235	33	,	,	PUNCT
edu-4309	235	34	2018	2018	NUM
edu-4309	235	35	;	;	PUNCT
edu-4309	235	36	bossé	bossé	NOUN
edu-4309	235	37	et	et	PROPN
edu-4309	235	38	al	al	PROPN
edu-4309	235	39	.	.	PROPN
edu-4309	235	40	,	,	PUNCT
edu-4309	235	41	2014	2014	NUM
edu-4309	235	42	;	;	PUNCT
edu-4309	235	43	bossé	bossé	NOUN
edu-4309	235	44	et	et	PROPN
edu-4309	235	45	al	al	PROPN
edu-4309	235	46	.	.	PROPN
edu-4309	235	47	,	,	PUNCT
edu-4309	235	48	2011	2011	NUM
edu-4309	235	49	)	)	PUNCT
edu-4309	235	50	.	.	PUNCT
edu-4309	236	1	as	as	ADP
edu-4309	236	2	a	a	DET
edu-4309	236	3	result	result	NOUN
edu-4309	236	4	,	,	PUNCT
edu-4309	236	5	the	the	DET
edu-4309	236	6	theme	theme	NOUN
edu-4309	236	7	of	of	ADP
edu-4309	236	8	the	the	DET
edu-4309	236	9	students	student	NOUN
edu-4309	236	10	’	’	PART
edu-4309	236	11	errors	error	NOUN
edu-4309	236	12	in	in	ADP
edu-4309	236	13	translation	translation	NOUN
edu-4309	236	14	is	be	AUX
edu-4309	236	15	still	still	ADV
edu-4309	236	16	the	the	DET
edu-4309	236	17	center	center	NOUN
edu-4309	236	18	of	of	ADP
edu-4309	236	19	attention	attention	NOUN
edu-4309	236	20	in	in	ADP
edu-4309	236	21	today	today	NOUN
edu-4309	236	22	’s	’s	PART
edu-4309	236	23	mathematics	mathematics	PROPN
edu-4309	236	24	education	education	PROPN
edu-4309	236	25	research	research	NOUN
edu-4309	236	26	(	(	PUNCT
edu-4309	236	27	adu	adu	ADJ
edu-4309	236	28	-	-	PUNCT
edu-4309	236	29	gyamfi	gyamfi	NOUN
edu-4309	236	30	,	,	PUNCT
edu-4309	236	31	bossé	bossé	NOUN
edu-4309	236	32	,	,	PUNCT
edu-4309	236	33	&	&	CCONJ
edu-4309	236	34	chandler	chandler	PROPN
edu-4309	236	35	,	,	PUNCT
edu-4309	236	36	2017	2017	NUM
edu-4309	236	37	;	;	PUNCT
edu-4309	236	38	afriyani	afriyani	NOUN
edu-4309	236	39	et	et	PROPN
edu-4309	236	40	al	al	PROPN
edu-4309	236	41	.	.	PROPN
edu-4309	236	42	,	,	PUNCT
edu-4309	236	43	2018	2018	NUM
edu-4309	236	44	;	;	PUNCT
edu-4309	236	45	rahmawati	rahmawati	NOUN
edu-4309	236	46	,	,	PUNCT
edu-4309	236	47	2019	2019	NUM
edu-4309	236	48	)	)	PUNCT
edu-4309	236	49	.	.	PUNCT
edu-4309	237	1	adu	adu	ADJ
edu-4309	237	2	-	-	PUNCT
edu-4309	237	3	gyamfi	gyamfi	PROPN
edu-4309	237	4	et	et	PROPN
edu-4309	237	5	al	al	PROPN
edu-4309	237	6	.	.	PROPN
edu-4309	237	7	(	(	PUNCT
edu-4309	237	8	2012	2012	NUM
edu-4309	237	9	)	)	PUNCT
edu-4309	237	10	identified	identify	VERB
edu-4309	237	11	three	three	NUM
edu-4309	237	12	distinct	distinct	ADJ
edu-4309	237	13	error	error	NOUN
edu-4309	237	14	types	type	NOUN
edu-4309	237	15	:	:	PUNCT
edu-4309	237	16	implementation	implementation	NOUN
edu-4309	237	17	error	error	NOUN
edu-4309	237	18	,	,	PUNCT
edu-4309	237	19	interpretation	interpretation	NOUN
edu-4309	237	20	error	error	NOUN
edu-4309	237	21	and	and	CCONJ
edu-4309	237	22	preservation	preservation	NOUN
edu-4309	237	23	error	error	NOUN
edu-4309	237	24	.	.	PUNCT
edu-4309	238	1	these	these	DET
edu-4309	238	2	errors	error	NOUN
edu-4309	238	3	manifest	manifest	VERB
edu-4309	238	4	at	at	ADP
edu-4309	238	5	different	different	ADJ
edu-4309	238	6	stages	stage	NOUN
edu-4309	238	7	of	of	ADP
edu-4309	238	8	the	the	DET
edu-4309	238	9	translation	translation	NOUN
edu-4309	238	10	process	process	NOUN
edu-4309	238	11	.	.	PUNCT
edu-4309	239	1	hence	hence	ADV
edu-4309	239	2	,	,	PUNCT
edu-4309	239	3	this	this	DET
edu-4309	239	4	study	study	NOUN
edu-4309	239	5	was	be	AUX
edu-4309	239	6	intended	intend	VERB
edu-4309	239	7	to	to	PART
edu-4309	239	8	determine	determine	VERB
edu-4309	239	9	the	the	DET
edu-4309	239	10	most	most	ADV
edu-4309	239	11	committed	committed	ADJ
edu-4309	239	12	translation	translation	NOUN
edu-4309	239	13	error	error	NOUN
edu-4309	239	14	as	as	ADP
edu-4309	239	15	a	a	DET
edu-4309	239	16	result	result	NOUN
edu-4309	239	17	of	of	ADP
edu-4309	239	18	the	the	DET
edu-4309	239	19	treatment	treatment	NOUN
edu-4309	239	20	type	type	NOUN
edu-4309	239	21	.	.	PUNCT
edu-4309	240	1	table	table	NOUN
edu-4309	240	2	9	9	NUM
edu-4309	240	3	.	.	PUNCT
edu-4309	240	4	percentage	percentage	NOUN
edu-4309	240	5	of	of	ADP
edu-4309	240	6	translation	translation	NOUN
edu-4309	240	7	error	error	NOUN
edu-4309	240	8	type	type	NOUN
edu-4309	240	9	of	of	ADP
edu-4309	240	10	the	the	DET
edu-4309	240	11	posttest	posttest	NOUN
edu-4309	240	12	with	with	ADP
edu-4309	240	13	group	group	NOUN
edu-4309	240	14	.	.	PUNCT
edu-4309	241	1	group	group	NOUN
edu-4309	241	2	type	type	NOUN
edu-4309	241	3	of	of	ADP
edu-4309	241	4	error	error	NOUN
edu-4309	241	5	committed	commit	VERB
edu-4309	241	6	implementation	implementation	NOUN
edu-4309	241	7	interpretation	interpretation	NOUN
edu-4309	241	8	preservation	preservation	NOUN
edu-4309	242	1	%	%	INTJ
edu-4309	242	2	%	%	INTJ
edu-4309	243	1	%	%	NOUN
edu-4309	243	2	mrt	mrt	PROPN
edu-4309	243	3	21	21	NUM
edu-4309	243	4	66	66	NUM
edu-4309	243	5	13	13	NUM
edu-4309	243	6	mr	mr	PROPN
edu-4309	243	7	23	23	NUM
edu-4309	243	8	72	72	NUM
edu-4309	243	9	4	4	NUM
edu-4309	243	10	cg	cg	NOUN
edu-4309	243	11	9	9	NUM
edu-4309	243	12	80	80	NUM
edu-4309	243	13	11	11	NUM
edu-4309	243	14	students	student	NOUN
edu-4309	243	15	were	be	AUX
edu-4309	243	16	provided	provide	VERB
edu-4309	243	17	with	with	ADP
edu-4309	243	18	different	different	ADJ
edu-4309	243	19	tasks	task	NOUN
edu-4309	243	20	of	of	ADP
edu-4309	243	21	representation	representation	NOUN
edu-4309	243	22	translating	translating	NOUN
edu-4309	243	23	in	in	ADP
edu-4309	243	24	the	the	DET
edu-4309	243	25	differential	differential	ADJ
edu-4309	243	26	calculus	calculus	NOUN
edu-4309	243	27	content	content	NOUN
edu-4309	243	28	to	to	PART
edu-4309	243	29	describe	describe	VERB
edu-4309	243	30	the	the	DET
edu-4309	243	31	error	error	NOUN
edu-4309	243	32	type	type	NOUN
edu-4309	243	33	they	they	PRON
edu-4309	243	34	committed	commit	VERB
edu-4309	243	35	in	in	ADP
edu-4309	243	36	the	the	DET
edu-4309	243	37	process	process	NOUN
edu-4309	243	38	of	of	ADP
edu-4309	243	39	representation	representation	NOUN
edu-4309	243	40	translation	translation	NOUN
edu-4309	243	41	.	.	PUNCT
edu-4309	244	1	percentage	percentage	NOUN
edu-4309	244	2	was	be	AUX
edu-4309	244	3	used	use	VERB
edu-4309	244	4	to	to	PART
edu-4309	244	5	compare	compare	VERB
edu-4309	244	6	the	the	DET
edu-4309	244	7	three	three	NUM
edu-4309	244	8	groups	group	NOUN
edu-4309	244	9	on	on	ADP
edu-4309	244	10	these	these	DET
edu-4309	244	11	translation	translation	NOUN
edu-4309	244	12	error	error	NOUN
edu-4309	244	13	types	type	NOUN
edu-4309	244	14	.	.	PUNCT
edu-4309	245	1	based	base	VERB
edu-4309	245	2	on	on	ADP
edu-4309	245	3	the	the	DET
edu-4309	245	4	output	output	NOUN
edu-4309	245	5	displayed	display	VERB
edu-4309	245	6	in	in	ADP
edu-4309	245	7	table	table	NOUN
edu-4309	245	8	9	9	NUM
edu-4309	245	9	,	,	PUNCT
edu-4309	245	10	interpretation	interpretation	NOUN
edu-4309	245	11	error	error	NOUN
edu-4309	245	12	was	be	AUX
edu-4309	245	13	the	the	DET
edu-4309	245	14	most	most	ADV
edu-4309	245	15	frequently	frequently	ADV
edu-4309	245	16	committed	commit	VERB
edu-4309	245	17	across	across	ADP
edu-4309	245	18	the	the	DET
edu-4309	245	19	groups	group	NOUN
edu-4309	245	20	(	(	PUNCT
edu-4309	245	21	66	66	NUM
edu-4309	245	22	%	%	NOUN
edu-4309	245	23	of	of	ADP
edu-4309	245	24	the	the	DET
edu-4309	245	25	errors	error	NOUN
edu-4309	245	26	in	in	ADP
edu-4309	245	27	the	the	DET
edu-4309	245	28	mrt	mrt	PROPN
edu-4309	245	29	,	,	PUNCT
edu-4309	245	30	73	73	NUM
edu-4309	245	31	%	%	NOUN
edu-4309	245	32	of	of	ADP
edu-4309	245	33	the	the	DET
edu-4309	245	34	errors	error	NOUN
edu-4309	245	35	in	in	ADP
edu-4309	245	36	the	the	DET
edu-4309	245	37	mr	mr	PROPN
edu-4309	245	38	&	&	CCONJ
edu-4309	245	39	80	80	NUM
edu-4309	245	40	%	%	NOUN
edu-4309	245	41	of	of	ADP
edu-4309	245	42	the	the	DET
edu-4309	245	43	errors	error	NOUN
edu-4309	245	44	in	in	ADP
edu-4309	245	45	the	the	DET
edu-4309	245	46	cg	cg	NOUN
edu-4309	245	47	)	)	PUNCT
edu-4309	245	48	.	.	PUNCT
edu-4309	246	1	the	the	DET
edu-4309	246	2	implementation	implementation	NOUN
edu-4309	246	3	error	error	NOUN
edu-4309	246	4	was	be	AUX
edu-4309	246	5	less	less	ADV
edu-4309	246	6	frequently	frequently	ADV
edu-4309	246	7	appeared	appear	VERB
edu-4309	246	8	across	across	ADP
edu-4309	246	9	the	the	DET
edu-4309	246	10	groups	group	NOUN
edu-4309	246	11	(	(	PUNCT
edu-4309	246	12	21	21	NUM
edu-4309	246	13	%	%	NOUN
edu-4309	246	14	of	of	ADP
edu-4309	246	15	the	the	DET
edu-4309	246	16	errors	error	NOUN
edu-4309	246	17	in	in	ADP
edu-4309	246	18	the	the	DET
edu-4309	246	19	mrt	mrt	PROPN
edu-4309	246	20	,	,	PUNCT
edu-4309	246	21	23	23	NUM
edu-4309	246	22	%	%	NOUN
edu-4309	246	23	of	of	ADP
edu-4309	246	24	the	the	DET
edu-4309	246	25	errors	error	NOUN
edu-4309	246	26	in	in	ADP
edu-4309	246	27	the	the	DET
edu-4309	246	28	mr	mr	PROPN
edu-4309	246	29	&	&	CCONJ
edu-4309	246	30	9	9	NUM
edu-4309	246	31	%	%	NOUN
edu-4309	246	32	of	of	ADP
edu-4309	246	33	the	the	DET
edu-4309	246	34	errors	error	NOUN
edu-4309	246	35	in	in	ADP
edu-4309	246	36	the	the	DET
edu-4309	246	37	cg	cg	NOUN
edu-4309	246	38	)	)	PUNCT
edu-4309	246	39	next	next	ADV
edu-4309	246	40	to	to	ADP
edu-4309	246	41	preservation	preservation	NOUN
edu-4309	246	42	error	error	NOUN
edu-4309	246	43	(	(	PUNCT
edu-4309	246	44	13	13	NUM
edu-4309	246	45	%	%	NOUN
edu-4309	246	46	of	of	ADP
edu-4309	246	47	the	the	DET
edu-4309	246	48	errors	error	NOUN
edu-4309	246	49	in	in	ADP
edu-4309	246	50	mrt	mrt	PROPN
edu-4309	246	51	,	,	PUNCT
edu-4309	246	52	4	4	NUM
edu-4309	246	53	%	%	NOUN
edu-4309	246	54	of	of	ADP
edu-4309	246	55	the	the	DET
edu-4309	246	56	errors	error	NOUN
edu-4309	246	57	in	in	ADP
edu-4309	246	58	the	the	DET
edu-4309	246	59	mr	mr	PROPN
edu-4309	246	60	&	&	CCONJ
edu-4309	246	61	11	11	NUM
edu-4309	246	62	%	%	NOUN
edu-4309	246	63	of	of	ADP
edu-4309	246	64	the	the	DET
edu-4309	246	65	errors	error	NOUN
edu-4309	246	66	in	in	ADP
edu-4309	246	67	the	the	DET
edu-4309	246	68	cg	cg	NOUN
edu-4309	246	69	)	)	PUNCT
edu-4309	246	70	.	.	PUNCT
edu-4309	247	1	despite	despite	SCONJ
edu-4309	247	2	the	the	DET
edu-4309	247	3	distribution	distribution	NOUN
edu-4309	247	4	of	of	ADP
edu-4309	247	5	the	the	DET
edu-4309	247	6	error	error	NOUN
edu-4309	247	7	among	among	ADP
edu-4309	247	8	the	the	DET
edu-4309	247	9	three	three	NUM
edu-4309	247	10	groups	group	NOUN
edu-4309	247	11	appeared	appear	VERB
edu-4309	247	12	in	in	ADP
edu-4309	247	13	a	a	DET
edu-4309	247	14	similar	similar	ADJ
edu-4309	247	15	pattern	pattern	NOUN
edu-4309	247	16	,	,	PUNCT
edu-4309	247	17	the	the	DET
edu-4309	247	18	prevalence	prevalence	NOUN
edu-4309	247	19	of	of	ADP
edu-4309	247	20	interpretation	interpretation	NOUN
edu-4309	247	21	error	error	NOUN
edu-4309	247	22	was	be	AUX
edu-4309	247	23	higher	high	ADJ
edu-4309	247	24	in	in	ADP
edu-4309	247	25	the	the	DET
edu-4309	247	26	cg	cg	NOUN
edu-4309	247	27	than	than	ADP
edu-4309	247	28	the	the	DET
edu-4309	247	29	mrt	mrt	PROPN
edu-4309	247	30	and	and	CCONJ
edu-4309	247	31	mr	mr	PROPN
edu-4309	247	32	,	,	PUNCT
edu-4309	247	33	and	and	CCONJ
edu-4309	247	34	also	also	ADV
edu-4309	247	35	higher	high	ADJ
edu-4309	247	36	in	in	ADP
edu-4309	247	37	mr	mr	PROPN
edu-4309	247	38	than	than	ADP
edu-4309	247	39	in	in	ADP
edu-4309	247	40	mrt	mrt	PROPN
edu-4309	247	41	.	.	PUNCT
edu-4309	248	1	the	the	DET
edu-4309	248	2	students	student	NOUN
edu-4309	248	3	’	’	PART
edu-4309	248	4	translation	translation	NOUN
edu-4309	248	5	errors	error	NOUN
edu-4309	248	6	in	in	ADP
edu-4309	248	7	the	the	DET
edu-4309	248	8	three	three	NUM
edu-4309	248	9	groups	group	NOUN
edu-4309	248	10	remained	remain	VERB
edu-4309	248	11	more	more	ADV
edu-4309	248	12	concentrated	concentrated	ADJ
edu-4309	248	13	in	in	ADP
edu-4309	248	14	the	the	DET
edu-4309	248	15	interpretation	interpretation	NOUN
edu-4309	248	16	error	error	NOUN
edu-4309	248	17	after	after	ADP
edu-4309	248	18	the	the	DET
edu-4309	248	19	intervention	intervention	NOUN
edu-4309	248	20	.	.	PUNCT
edu-4309	249	1	hence	hence	ADV
edu-4309	249	2	,	,	PUNCT
edu-4309	249	3	the	the	DET
edu-4309	249	4	treatment	treatment	NOUN
edu-4309	249	5	type	type	NOUN
edu-4309	249	6	did	do	AUX
edu-4309	249	7	not	not	PART
edu-4309	249	8	bring	bring	VERB
edu-4309	249	9	a	a	DET
edu-4309	249	10	magnificent	magnificent	ADJ
edu-4309	249	11	variation	variation	NOUN
edu-4309	249	12	on	on	ADP
edu-4309	249	13	the	the	DET
edu-4309	249	14	students	student	NOUN
edu-4309	249	15	’	'	PUNCT
edu-4309	249	16	error	error	NOUN
edu-4309	249	17	type	type	NOUN
edu-4309	249	18	committed	commit	VERB
edu-4309	249	19	.	.	PUNCT
edu-4309	250	1	table	table	NOUN
edu-4309	250	2	10	10	NUM
edu-4309	250	3	.	.	PUNCT
edu-4309	251	1	prevalence	prevalence	NOUN
edu-4309	251	2	of	of	ADP
edu-4309	251	3	translation	translation	NOUN
edu-4309	251	4	error	error	NOUN
edu-4309	251	5	type	type	NOUN
edu-4309	251	6	with	with	ADP
edu-4309	251	7	respect	respect	NOUN
edu-4309	251	8	to	to	ADP
edu-4309	251	9	source	source	NOUN
edu-4309	251	10	representation	representation	NOUN
edu-4309	251	11	.	.	PUNCT
edu-4309	252	1	group	group	NOUN
edu-4309	252	2	n	n	ADP
edu-4309	252	3	source	source	NOUN
edu-4309	252	4	representation	representation	NOUN
edu-4309	252	5	error	error	NOUN
edu-4309	252	6	type	type	NOUN
edu-4309	252	7	implementation	implementation	NOUN
edu-4309	252	8	interpretation	interpretation	NOUN
edu-4309	252	9	preservation	preservation	NOUN
edu-4309	253	1	f	f	PROPN
edu-4309	253	2	%	%	NOUN
edu-4309	254	1	f	f	NOUN
edu-4309	254	2	%	%	NOUN
edu-4309	255	1	f	f	NOUN
edu-4309	255	2	%	%	NOUN
edu-4309	255	3	mrt	mrt	PROPN
edu-4309	255	4	53	53	NUM
edu-4309	255	5	algebraic	algebraic	ADJ
edu-4309	255	6	16	16	NUM
edu-4309	256	1	30.2	30.2	NUM
edu-4309	256	2	10	10	NUM
edu-4309	256	3	18.9	18.9	NUM
edu-4309	256	4	11	11	NUM
edu-4309	256	5	11.3	11.3	NUM
edu-4309	256	6	mr	mr	PROPN
edu-4309	256	7	57	57	NUM
edu-4309	256	8	12	12	NUM
edu-4309	256	9	21.1	21.1	NUM
edu-4309	256	10	12	12	NUM
edu-4309	256	11	21.1	21.1	NUM
edu-4309	256	12	11	11	NUM
edu-4309	256	13	19.3	19.3	NUM
edu-4309	256	14	cg	cg	NOUN
edu-4309	256	15	54	54	NUM
edu-4309	256	16	13	13	NUM
edu-4309	256	17	24.1	24.1	NUM
edu-4309	256	18	17	17	NUM
edu-4309	256	19	31.5	31.5	NUM
edu-4309	256	20	11	11	NUM
edu-4309	256	21	20.4	20.4	NUM
edu-4309	256	22	mrt	mrt	NOUN
edu-4309	256	23	53	53	NUM
edu-4309	256	24	graph	graph	NOUN
edu-4309	256	25	5	5	NUM
edu-4309	256	26	9.4	9.4	NUM
edu-4309	256	27	5	5	NUM
edu-4309	256	28	9.4	9.4	NUM
edu-4309	256	29	23	23	NUM
edu-4309	256	30	43.4	43.4	NUM
edu-4309	256	31	mr	mr	PROPN
edu-4309	256	32	57	57	NUM
edu-4309	256	33	10	10	NUM
edu-4309	256	34	17.5	17.5	NUM
edu-4309	256	35	7	7	NUM
edu-4309	256	36	12.3	12.3	NUM
edu-4309	256	37	3	3	NUM
edu-4309	256	38	5.3	5.3	NUM
edu-4309	256	39	cg	cg	NOUN
edu-4309	256	40	54	54	NUM
edu-4309	256	41	11	11	NUM
edu-4309	256	42	20.4	20.4	NUM
edu-4309	256	43	8	8	NUM
edu-4309	256	44	14.8	14.8	NUM
edu-4309	256	45	7	7	NUM
edu-4309	256	46	13.0	13.0	NUM
edu-4309	256	47	mrt	mrt	NOUN
edu-4309	256	48	53	53	NUM
edu-4309	256	49	verbal	verbal	ADJ
edu-4309	256	50	9	9	NUM
edu-4309	256	51	17.0	17.0	NUM
edu-4309	256	52	6	6	NUM
edu-4309	256	53	11.3	11.3	NUM
edu-4309	256	54	7	7	NUM
edu-4309	256	55	13.2	13.2	NUM
edu-4309	256	56	mr	mr	PROPN
edu-4309	256	57	57	57	NUM
edu-4309	256	58	11	11	NUM
edu-4309	256	59	19.3	19.3	NUM
edu-4309	256	60	9	9	NUM
edu-4309	256	61	15.8	15.8	NUM
edu-4309	256	62	2	2	NUM
edu-4309	256	63	3.5	3.5	NUM
edu-4309	256	64	cg	cg	NOUN
edu-4309	256	65	54	54	NUM
edu-4309	256	66	18	18	NUM
edu-4309	256	67	33.3	33.3	NUM
edu-4309	256	68	8	8	NUM
edu-4309	256	69	14.8	14.8	NUM
edu-4309	256	70	1	1	NUM
edu-4309	256	71	1.9	1.9	NUM
edu-4309	256	72	mrt	mrt	PROPN
edu-4309	256	73	53	53	NUM
edu-4309	256	74	numerical	numerical	ADJ
edu-4309	256	75	9	9	NUM
edu-4309	256	76	17	17	NUM
edu-4309	256	77	7	7	NUM
edu-4309	256	78	13.2	13.2	NUM
edu-4309	256	79	7	7	NUM
edu-4309	256	80	13.2	13.2	NUM
edu-4309	256	81	mr	mr	PROPN
edu-4309	256	82	57	57	NUM
edu-4309	256	83	13	13	NUM
edu-4309	256	84	22.8	22.8	NUM
edu-4309	256	85	10	10	NUM
edu-4309	256	86	17.5	17.5	NUM
edu-4309	256	87	3	3	NUM
edu-4309	256	88	5.3	5.3	NUM
edu-4309	256	89	cg	cg	NOUN
edu-4309	256	90	54	54	NUM
edu-4309	256	91	18	18	NUM
edu-4309	256	92	33.3	33.3	NUM
edu-4309	256	93	5	5	NUM
edu-4309	256	94	9.3	9.3	NUM
edu-4309	256	95	3	3	NUM
edu-4309	256	96	5.6	5.6	NUM
edu-4309	256	97	based	base	VERB
edu-4309	256	98	on	on	ADP
edu-4309	256	99	the	the	DET
edu-4309	256	100	results	result	NOUN
edu-4309	256	101	reported	report	VERB
edu-4309	256	102	in	in	ADP
edu-4309	256	103	table	table	NOUN
edu-4309	256	104	10	10	NUM
edu-4309	256	105	,	,	PUNCT
edu-4309	256	106	in	in	ADP
edu-4309	256	107	the	the	DET
edu-4309	256	108	process	process	NOUN
edu-4309	256	109	of	of	ADP
edu-4309	256	110	translation	translation	NOUN
edu-4309	256	111	from	from	ADP
edu-4309	256	112	algebraic	algebraic	ADJ
edu-4309	256	113	representation	representation	NOUN
edu-4309	256	114	into	into	ADP
edu-4309	256	115	the	the	DET
edu-4309	256	116	other	other	ADJ
edu-4309	256	117	form	form	NOUN
edu-4309	256	118	of	of	ADP
edu-4309	256	119	representations	representation	NOUN
edu-4309	256	120	considerable	considerable	ADJ
edu-4309	256	121	number	number	NOUN
edu-4309	256	122	of	of	ADP
edu-4309	256	123	students	student	NOUN
edu-4309	256	124	from	from	ADP
edu-4309	256	125	the	the	DET
edu-4309	256	126	mrt	mrt	PROPN
edu-4309	256	127	committed	commit	VERB
edu-4309	256	128	implementation	implementation	NOUN
edu-4309	256	129	error	error	NOUN
edu-4309	256	130	(	(	PUNCT
edu-4309	256	131	30.2	30.2	NUM
edu-4309	256	132	%	%	NOUN
edu-4309	256	133	)	)	PUNCT
edu-4309	256	134	.	.	PUNCT
edu-4309	257	1	this	this	DET
edu-4309	257	2	number	number	NOUN
edu-4309	257	3	of	of	ADP
edu-4309	257	4	students	student	NOUN
edu-4309	257	5	exceeds	exceed	VERB
edu-4309	257	6	to	to	ADP
edu-4309	257	7	the	the	DET
edu-4309	257	8	number	number	NOUN
edu-4309	257	9	of	of	ADP
edu-4309	257	10	students	student	NOUN
edu-4309	257	11	who	who	PRON
edu-4309	257	12	committed	commit	VERB
edu-4309	257	13	interpretation	interpretation	NOUN
edu-4309	257	14	error	error	NOUN
edu-4309	257	15	(	(	PUNCT
edu-4309	257	16	18.9	18.9	NUM
edu-4309	257	17	%	%	NOUN
edu-4309	257	18	)	)	PUNCT
edu-4309	257	19	and	and	CCONJ
edu-4309	257	20	preservation	preservation	NOUN
edu-4309	257	21	error	error	NOUN
edu-4309	257	22	(	(	PUNCT
edu-4309	257	23	11.3	11.3	NUM
edu-4309	257	24	%	%	NOUN
edu-4309	257	25	)	)	PUNCT
edu-4309	257	26	of	of	ADP
edu-4309	257	27	that	that	DET
edu-4309	257	28	group	group	NOUN
edu-4309	257	29	.	.	PUNCT
edu-4309	258	1	however	however	ADV
edu-4309	258	2	,	,	PUNCT
edu-4309	258	3	error	error	NOUN
edu-4309	258	4	type	type	NOUN
edu-4309	258	5	in	in	ADP
edu-4309	258	6	the	the	DET
edu-4309	258	7	mr	mr	PROPN
edu-4309	258	8	is	be	AUX
edu-4309	258	9	nearly	nearly	ADV
edu-4309	258	10	equally	equally	ADV
edu-4309	258	11	distributed	distribute	VERB
edu-4309	258	12	among	among	ADP
edu-4309	258	13	the	the	DET
edu-4309	258	14	implementation	implementation	NOUN
edu-4309	258	15	error	error	NOUN
edu-4309	258	16	(	(	PUNCT
edu-4309	258	17	21.1	21.1	NUM
edu-4309	258	18	%	%	NOUN
edu-4309	258	19	)	)	PUNCT
edu-4309	258	20	,	,	PUNCT
edu-4309	258	21	interpretation	interpretation	NOUN
edu-4309	258	22	error	error	NOUN
edu-4309	258	23	(	(	PUNCT
edu-4309	258	24	21.1	21.1	NUM
edu-4309	258	25	%	%	NOUN
edu-4309	258	26	)	)	PUNCT
edu-4309	258	27	and	and	CCONJ
edu-4309	258	28	preservation	preservation	NOUN
edu-4309	258	29	error	error	NOUN
edu-4309	258	30	(	(	PUNCT
edu-4309	258	31	19.3	19.3	NUM
edu-4309	258	32	%	%	NOUN
edu-4309	258	33	)	)	PUNCT
edu-4309	258	34	.	.	PUNCT
edu-4309	259	1	some	some	DET
edu-4309	259	2	variation	variation	NOUN
edu-4309	259	3	was	be	AUX
edu-4309	259	4	observed	observe	VERB
edu-4309	259	5	in	in	ADP
edu-4309	259	6	the	the	DET
edu-4309	259	7	cg	cg	NOUN
edu-4309	259	8	in	in	ADP
edu-4309	259	9	the	the	DET
edu-4309	259	10	error	error	NOUN
edu-4309	259	11	distribution	distribution	NOUN
edu-4309	259	12	with	with	ADP
edu-4309	259	13	the	the	DET
edu-4309	259	14	greater	great	ADJ
edu-4309	259	15	share	share	NOUN
edu-4309	259	16	for	for	ADP
edu-4309	259	17	interpretation	interpretation	NOUN
edu-4309	259	18	(	(	PUNCT
edu-4309	259	19	31.5	31.5	NUM
edu-4309	259	20	%	%	NOUN
edu-4309	259	21	)	)	PUNCT
edu-4309	259	22	that	that	PRON
edu-4309	259	23	implementation	implementation	NOUN
edu-4309	259	24	error	error	NOUN
edu-4309	259	25	(	(	PUNCT
edu-4309	259	26	24.1	24.1	NUM
edu-4309	259	27	%	%	NOUN
edu-4309	259	28	)	)	PUNCT
edu-4309	259	29	and	and	CCONJ
edu-4309	259	30	preservation	preservation	NOUN
edu-4309	259	31	error	error	NOUN
edu-4309	259	32	(	(	PUNCT
edu-4309	259	33	20.4	20.4	NUM
edu-4309	259	34	%	%	NOUN
edu-4309	259	35	)	)	PUNCT
edu-4309	259	36	.	.	PUNCT
edu-4309	260	1	in	in	ADP
edu-4309	260	2	the	the	DET
edu-4309	260	3	process	process	NOUN
edu-4309	260	4	of	of	ADP
edu-4309	260	5	translation	translation	NOUN
edu-4309	260	6	from	from	ADP
edu-4309	260	7	graph	graph	NOUN
edu-4309	260	8	to	to	ADP
edu-4309	260	9	other	other	ADJ
edu-4309	260	10	form	form	NOUN
edu-4309	260	11	of	of	ADP
edu-4309	260	12	representations	representation	NOUN
edu-4309	260	13	,	,	PUNCT
edu-4309	260	14	larger	large	ADJ
edu-4309	260	15	number	number	NOUN
edu-4309	260	16	of	of	ADP
edu-4309	260	17	students	student	NOUN
edu-4309	260	18	from	from	ADP
edu-4309	260	19	the	the	DET
edu-4309	260	20	mrt	mrt	PROPN
edu-4309	260	21	committed	commit	VERB
edu-4309	260	22	preservation	preservation	NOUN
edu-4309	260	23	error	error	NOUN
edu-4309	260	24	(	(	PUNCT
edu-4309	260	25	43.4	43.4	NUM
edu-4309	260	26	%	%	NOUN
edu-4309	260	27	)	)	PUNCT
edu-4309	260	28	than	than	ADP
edu-4309	260	29	the	the	DET
edu-4309	260	30	interpretation	interpretation	NOUN
edu-4309	260	31	error	error	NOUN
edu-4309	260	32	(	(	PUNCT
edu-4309	260	33	9.4	9.4	NUM
edu-4309	260	34	%	%	NOUN
edu-4309	260	35	)	)	PUNCT
edu-4309	260	36	and	and	CCONJ
edu-4309	260	37	implementation	implementation	NOUN
edu-4309	260	38	error	error	NOUN
edu-4309	260	39	(	(	PUNCT
edu-4309	260	40	9.4	9.4	NUM
edu-4309	260	41	%	%	NOUN
edu-4309	260	42	)	)	PUNCT
edu-4309	260	43	.	.	PUNCT
edu-4309	261	1	however	however	ADV
edu-4309	261	2	,	,	PUNCT
edu-4309	261	3	in	in	ADP
edu-4309	261	4	the	the	DET
edu-4309	261	5	case	case	NOUN
edu-4309	261	6	of	of	ADP
edu-4309	261	7	the	the	DET
edu-4309	261	8	mr	mr	PROPN
edu-4309	261	9	,	,	PUNCT
edu-4309	261	10	the	the	DET
edu-4309	261	11	prevalence	prevalence	NOUN
edu-4309	261	12	of	of	ADP
edu-4309	261	13	translation	translation	NOUN
edu-4309	261	14	error	error	NOUN
edu-4309	261	15	ranges	range	VERB
edu-4309	261	16	from	from	ADP
edu-4309	261	17	implementation	implementation	NOUN
edu-4309	261	18	(	(	PUNCT
edu-4309	261	19	17.5	17.5	NUM
edu-4309	261	20	%	%	NOUN
edu-4309	261	21	)	)	PUNCT
edu-4309	261	22	to	to	ADP
edu-4309	261	23	interpretation	interpretation	NOUN
edu-4309	261	24	(	(	PUNCT
edu-4309	261	25	12.3	12.3	NUM
edu-4309	261	26	%	%	NOUN
edu-4309	261	27	)	)	PUNCT
edu-4309	261	28	and	and	CCONJ
edu-4309	261	29	preservation	preservation	NOUN
edu-4309	261	30	(	(	PUNCT
edu-4309	261	31	5.3%).likewise	5.3%).likewise	NOUN
edu-4309	261	32	,	,	PUNCT
edu-4309	261	33	students	student	NOUN
edu-4309	261	34	in	in	ADP
edu-4309	261	35	the	the	DET
edu-4309	261	36	cg	cg	NOUN
edu-4309	261	37	who	who	PRON
edu-4309	261	38	committed	commit	VERB
edu-4309	261	39	implementation	implementation	NOUN
edu-4309	261	40	error	error	NOUN
edu-4309	261	41	(	(	PUNCT
edu-4309	261	42	20.4	20.4	NUM
edu-4309	261	43	%	%	NOUN
edu-4309	261	44	)	)	PUNCT
edu-4309	261	45	was	be	AUX
edu-4309	261	46	greater	great	ADJ
edu-4309	261	47	than	than	ADP
edu-4309	261	48	the	the	DET
edu-4309	261	49	interpretation	interpretation	NOUN
edu-4309	261	50	error	error	NOUN
edu-4309	261	51	(	(	PUNCT
edu-4309	261	52	14.8	14.8	NUM
edu-4309	261	53	%	%	NOUN
edu-4309	261	54	)	)	PUNCT
edu-4309	261	55	and	and	CCONJ
edu-4309	261	56	preservation	preservation	NOUN
edu-4309	261	57	error	error	NOUN
edu-4309	261	58	(	(	PUNCT
edu-4309	261	59	13.0	13.0	NUM
edu-4309	261	60	%	%	NOUN
edu-4309	261	61	)	)	PUNCT
edu-4309	261	62	.	.	PUNCT
edu-4309	262	1	in	in	ADP
edu-4309	262	2	the	the	DET
edu-4309	262	3	process	process	NOUN
edu-4309	262	4	of	of	ADP
edu-4309	262	5	translation	translation	NOUN
edu-4309	262	6	from	from	ADP
edu-4309	262	7	verbal	verbal	ADJ
edu-4309	262	8	to	to	ADP
edu-4309	262	9	other	other	ADJ
edu-4309	262	10	forms	form	NOUN
edu-4309	262	11	of	of	ADP
edu-4309	262	12	representations	representation	NOUN
edu-4309	262	13	,	,	PUNCT
edu-4309	262	14	the	the	DET
edu-4309	262	15	number	number	NOUN
edu-4309	262	16	of	of	ADP
edu-4309	262	17	students	student	NOUN
edu-4309	262	18	who	who	PRON
edu-4309	262	19	committed	commit	VERB
edu-4309	262	20	were	be	AUX
edu-4309	262	21	order	order	NOUN
edu-4309	262	22	as	as	SCONJ
edu-4309	262	23	implementation	implementation	NOUN
edu-4309	262	24	error	error	NOUN
edu-4309	262	25	(	(	PUNCT
edu-4309	262	26	17.0	17.0	NUM
edu-4309	262	27	%	%	NOUN
edu-4309	262	28	)	)	PUNCT
edu-4309	262	29	,	,	PUNCT
edu-4309	262	30	preservation	preservation	NOUN
edu-4309	262	31	error	error	NOUN
edu-4309	262	32	(	(	PUNCT
edu-4309	262	33	13.2	13.2	NUM
edu-4309	262	34	%	%	NOUN
edu-4309	262	35	)	)	PUNCT
edu-4309	262	36	and	and	CCONJ
edu-4309	262	37	interpretation	interpretation	NOUN
edu-4309	262	38	error	error	NOUN
edu-4309	262	39	(	(	PUNCT
edu-4309	262	40	11.3%).similarly	11.3%).similarly	NUM
edu-4309	262	41	,	,	PUNCT
edu-4309	262	42	the	the	DET
edu-4309	262	43	rate	rate	NOUN
edu-4309	262	44	of	of	ADP
edu-4309	262	45	distribution	distribution	NOUN
edu-4309	262	46	of	of	ADP
edu-4309	262	47	translation	translation	NOUN
edu-4309	262	48	error	error	NOUN
edu-4309	262	49	in	in	ADP
edu-4309	262	50	the	the	DET
edu-4309	262	51	mr	mr	PROPN
edu-4309	262	52	was	be	AUX
edu-4309	262	53	ordered	order	VERB
edu-4309	262	54	as	as	ADP
edu-4309	262	55	implementation	implementation	NOUN
edu-4309	262	56	error	error	NOUN
edu-4309	262	57	(	(	PUNCT
edu-4309	262	58	19.3	19.3	NUM
edu-4309	262	59	%	%	NOUN
edu-4309	262	60	)	)	PUNCT
edu-4309	262	61	,	,	PUNCT
edu-4309	262	62	interpretation	interpretation	NOUN
edu-4309	262	63	(	(	PUNCT
edu-4309	262	64	15.8	15.8	NUM
edu-4309	262	65	%	%	NOUN
edu-4309	262	66	)	)	PUNCT
edu-4309	262	67	and	and	CCONJ
edu-4309	262	68	preservation	preservation	NOUN
edu-4309	262	69	(	(	PUNCT
edu-4309	262	70	3.5	3.5	NUM
edu-4309	262	71	%	%	NOUN
edu-4309	262	72	)	)	PUNCT
edu-4309	262	73	.	.	PUNCT
edu-4309	263	1	likewise	likewise	ADV
edu-4309	263	2	,	,	PUNCT
edu-4309	263	3	greater	great	ADJ
edu-4309	263	4	number	number	NOUN
edu-4309	263	5	of	of	ADP
edu-4309	263	6	students	student	NOUN
edu-4309	263	7	in	in	ADP
edu-4309	263	8	the	the	DET
edu-4309	263	9	cg	cg	NOUN
edu-4309	263	10	committed	commit	VERB
edu-4309	263	11	implementation	implementation	NOUN
edu-4309	263	12	error	error	NOUN
edu-4309	263	13	(	(	PUNCT
edu-4309	263	14	33.3	33.3	NUM
edu-4309	263	15	%	%	NOUN
edu-4309	263	16	)	)	PUNCT
edu-4309	263	17	than	than	ADP
edu-4309	263	18	the	the	DET
edu-4309	263	19	interpretation	interpretation	NOUN
edu-4309	263	20	error	error	NOUN
edu-4309	263	21	(	(	PUNCT
edu-4309	263	22	14.8	14.8	NUM
edu-4309	263	23	%	%	NOUN
edu-4309	263	24	)	)	PUNCT
edu-4309	263	25	and	and	CCONJ
edu-4309	263	26	preservation	preservation	NOUN
edu-4309	263	27	error	error	NOUN
edu-4309	263	28	(	(	PUNCT
edu-4309	263	29	1.9	1.9	NUM
edu-4309	263	30	%	%	NOUN
edu-4309	263	31	)	)	PUNCT
edu-4309	263	32	.	.	PUNCT
edu-4309	264	1	in	in	ADP
edu-4309	264	2	the	the	DET
edu-4309	264	3	process	process	NOUN
edu-4309	264	4	of	of	ADP
edu-4309	264	5	translation	translation	NOUN
edu-4309	264	6	from	from	ADP
edu-4309	264	7	numerical	numerical	ADJ
edu-4309	264	8	representation	representation	NOUN
edu-4309	264	9	into	into	ADP
edu-4309	264	10	other	other	ADJ
edu-4309	264	11	form	form	NOUN
edu-4309	264	12	of	of	ADP
edu-4309	264	13	representations	representation	NOUN
edu-4309	264	14	,	,	PUNCT
edu-4309	264	15	the	the	DET
edu-4309	264	16	number	number	NOUN
edu-4309	264	17	of	of	ADP
edu-4309	264	18	students	student	NOUN
edu-4309	264	19	in	in	ADP
edu-4309	264	20	the	the	DET
edu-4309	264	21	mrt	mrt	NOUN
edu-4309	264	22	who	who	PRON
edu-4309	264	23	committed	commit	VERB
edu-4309	264	24	error	error	NOUN
edu-4309	264	25	was	be	AUX
edu-4309	264	26	greater	great	ADJ
edu-4309	264	27	than	than	ADP
edu-4309	264	28	implementation	implementation	NOUN
edu-4309	264	29	error	error	NOUN
edu-4309	264	30	(	(	PUNCT
edu-4309	264	31	17	17	NUM
edu-4309	264	32	%	%	NOUN
edu-4309	264	33	)	)	PUNCT
edu-4309	264	34	than	than	ADP
edu-4309	264	35	interpretation	interpretation	NOUN
edu-4309	264	36	error	error	NOUN
edu-4309	264	37	(	(	PUNCT
edu-4309	264	38	13.2	13.2	NUM
edu-4309	264	39	%	%	NOUN
edu-4309	264	40	)	)	PUNCT
edu-4309	264	41	and	and	CCONJ
edu-4309	264	42	preservation	preservation	NOUN
edu-4309	264	43	error	error	NOUN
edu-4309	264	44	(	(	PUNCT
edu-4309	264	45	13.2	13.2	NUM
edu-4309	264	46	%	%	NOUN
edu-4309	264	47	)	)	PUNCT
edu-4309	264	48	.	.	PUNCT
edu-4309	265	1	similar	similar	ADJ
edu-4309	265	2	order	order	NOUN
edu-4309	265	3	was	be	AUX
edu-4309	265	4	reported	report	VERB
edu-4309	265	5	in	in	ADP
edu-4309	265	6	the	the	DET
edu-4309	265	7	mr	mr	PROPN
edu-4309	265	8	ranged	range	VERB
edu-4309	265	9	from	from	ADP
edu-4309	265	10	implementation	implementation	NOUN
edu-4309	265	11	error	error	NOUN
edu-4309	265	12	(	(	PUNCT
edu-4309	265	13	22.8	22.8	NUM
edu-4309	265	14	%	%	NOUN
edu-4309	265	15	)	)	PUNCT
edu-4309	265	16	,	,	PUNCT
edu-4309	265	17	interpretation	interpretation	NOUN
edu-4309	265	18	error	error	NOUN
edu-4309	265	19	(	(	PUNCT
edu-4309	265	20	17.5	17.5	NUM
edu-4309	265	21	%	%	NOUN
edu-4309	265	22	)	)	PUNCT
edu-4309	265	23	and	and	CCONJ
edu-4309	265	24	preservation	preservation	NOUN
edu-4309	265	25	error	error	NOUN
edu-4309	265	26	(	(	PUNCT
edu-4309	265	27	5.3	5.3	NUM
edu-4309	265	28	%	%	NOUN
edu-4309	265	29	)	)	PUNCT
edu-4309	265	30	.	.	PUNCT
edu-4309	266	1	humongous	humongous	ADJ
edu-4309	266	2	students	student	NOUN
edu-4309	266	3	in	in	ADP
edu-4309	266	4	the	the	DET
edu-4309	266	5	cg	cg	NOUN
edu-4309	266	6	committed	commit	VERB
edu-4309	266	7	asian	asian	ADJ
edu-4309	266	8	journal	journal	NOUN
edu-4309	266	9	of	of	ADP
edu-4309	266	10	education	education	NOUN
edu-4309	266	11	and	and	CCONJ
edu-4309	266	12	training	training	NOUN
edu-4309	266	13	,	,	PUNCT
edu-4309	266	14	2022	2022	NUM
edu-4309	266	15	,	,	PUNCT
edu-4309	266	16	8(4	8(4	NUM
edu-4309	266	17	):	):	PUNCT
edu-4309	266	18	121	121	NUM
edu-4309	266	19	-	-	SYM
edu-4309	266	20	130	130	NUM
edu-4309	266	21	128	128	NUM
edu-4309	266	22	©	©	PROPN
edu-4309	266	23	2022	2022	NUM
edu-4309	266	24	by	by	ADP
edu-4309	266	25	the	the	DET
edu-4309	266	26	authors	author	NOUN
edu-4309	266	27	;	;	PUNCT
edu-4309	266	28	licensee	licensee	PROPN
edu-4309	266	29	asian	asian	ADJ
edu-4309	266	30	online	online	PROPN
edu-4309	266	31	journal	journal	PROPN
edu-4309	266	32	publishing	publishing	NOUN
edu-4309	266	33	group	group	NOUN
edu-4309	266	34	implementation	implementation	NOUN
edu-4309	266	35	error	error	NOUN
edu-4309	266	36	(	(	PUNCT
edu-4309	266	37	33.3	33.3	NUM
edu-4309	266	38	%	%	NOUN
edu-4309	266	39	)	)	PUNCT
edu-4309	266	40	with	with	ADP
edu-4309	266	41	less	less	ADJ
edu-4309	266	42	number	number	NOUN
edu-4309	266	43	of	of	ADP
edu-4309	266	44	students	student	NOUN
edu-4309	266	45	who	who	PRON
edu-4309	266	46	committed	commit	VERB
edu-4309	266	47	interpretation	interpretation	NOUN
edu-4309	266	48	error	error	NOUN
edu-4309	266	49	(	(	PUNCT
edu-4309	266	50	9.3	9.3	NUM
edu-4309	266	51	%	%	NOUN
edu-4309	266	52	)	)	PUNCT
edu-4309	266	53	and	and	CCONJ
edu-4309	266	54	preservation	preservation	NOUN
edu-4309	266	55	error	error	NOUN
edu-4309	266	56	(	(	PUNCT
edu-4309	266	57	5.6	5.6	NUM
edu-4309	266	58	%	%	NOUN
edu-4309	266	59	)	)	PUNCT
edu-4309	266	60	.	.	PUNCT
edu-4309	267	1	6	6	X
edu-4309	267	2	.	.	X
edu-4309	267	3	discussion	discussion	NOUN
edu-4309	267	4	over	over	ADP
edu-4309	267	5	the	the	DET
edu-4309	267	6	past	past	ADJ
edu-4309	267	7	two	two	NUM
edu-4309	267	8	decades	decade	NOUN
edu-4309	267	9	,	,	PUNCT
edu-4309	267	10	several	several	ADJ
edu-4309	267	11	efforts	effort	NOUN
edu-4309	267	12	had	have	AUX
edu-4309	267	13	been	be	AUX
edu-4309	267	14	made	make	VERB
edu-4309	267	15	to	to	PART
edu-4309	267	16	reform	reform	VERB
edu-4309	267	17	calculus	calculus	NOUN
edu-4309	267	18	curriculum	curriculum	NOUN
edu-4309	267	19	.	.	PUNCT
edu-4309	268	1	multiple	multiple	ADJ
edu-4309	268	2	representations	representation	NOUN
edu-4309	268	3	as	as	ADP
edu-4309	268	4	method	method	NOUN
edu-4309	268	5	of	of	ADP
edu-4309	268	6	instruction	instruction	NOUN
edu-4309	268	7	is	be	AUX
edu-4309	268	8	highly	highly	ADV
edu-4309	268	9	demanded	demand	VERB
edu-4309	268	10	in	in	ADP
edu-4309	268	11	the	the	DET
edu-4309	268	12	reformed	reform	VERB
edu-4309	268	13	calculus	calculus	PROPN
edu-4309	268	14	textbook	textbook	NOUN
edu-4309	268	15	(	(	PUNCT
edu-4309	268	16	chang	chang	PROPN
edu-4309	268	17	,	,	PUNCT
edu-4309	268	18	cromley	cromley	PROPN
edu-4309	268	19	,	,	PUNCT
edu-4309	268	20	&	&	CCONJ
edu-4309	268	21	tran	tran	NOUN
edu-4309	268	22	,	,	PUNCT
edu-4309	268	23	2016	2016	NUM
edu-4309	268	24	)	)	PUNCT
edu-4309	268	25	.	.	PUNCT
edu-4309	269	1	as	as	ADP
edu-4309	269	2	a	a	DET
edu-4309	269	3	result	result	NOUN
edu-4309	269	4	,	,	PUNCT
edu-4309	269	5	students	student	NOUN
edu-4309	269	6	’	'	PUNCT
edu-4309	269	7	success	success	NOUN
edu-4309	269	8	in	in	ADP
edu-4309	269	9	calculus	calculus	NOUN
edu-4309	269	10	learning	learning	NOUN
edu-4309	269	11	is	be	AUX
edu-4309	269	12	strongly	strongly	ADV
edu-4309	269	13	associated	associate	VERB
edu-4309	269	14	with	with	ADP
edu-4309	269	15	multiple	multiple	ADJ
edu-4309	269	16	representations	representation	NOUN
edu-4309	269	17	abilities	ability	NOUN
edu-4309	269	18	.	.	PUNCT
edu-4309	270	1	one	one	NUM
edu-4309	270	2	of	of	ADP
edu-4309	270	3	these	these	DET
edu-4309	270	4	abilities	ability	NOUN
edu-4309	270	5	is	be	AUX
edu-4309	270	6	representational	representational	ADJ
edu-4309	270	7	fluency	fluency	NOUN
edu-4309	270	8	(	(	PUNCT
edu-4309	270	9	rf	rf	NOUN
edu-4309	270	10	)	)	PUNCT
edu-4309	270	11	.	.	PUNCT
edu-4309	271	1	rf	rf	PRON
edu-4309	271	2	refers	refer	VERB
edu-4309	271	3	to	to	ADP
edu-4309	271	4	“	"	PUNCT
edu-4309	271	5	the	the	DET
edu-4309	271	6	ability	ability	NOUN
edu-4309	271	7	to	to	PART
edu-4309	271	8	create	create	VERB
edu-4309	271	9	,	,	PUNCT
edu-4309	271	10	interpret	interpret	VERB
edu-4309	271	11	,	,	PUNCT
edu-4309	271	12	translate	translate	VERB
edu-4309	271	13	between	between	ADP
edu-4309	271	14	,	,	PUNCT
edu-4309	271	15	and	and	CCONJ
edu-4309	271	16	connect	connect	VERB
edu-4309	271	17	multiple	multiple	ADJ
edu-4309	271	18	representations	representation	NOUN
edu-4309	271	19	“	"	PUNCT
edu-4309	271	20	(	(	PUNCT
edu-4309	271	21	fonger	fonger	NOUN
edu-4309	271	22	,	,	PUNCT
edu-4309	271	23	2019	2019	NUM
edu-4309	271	24	)	)	PUNCT
edu-4309	271	25	.	.	PUNCT
edu-4309	272	1	rf	rf	PRON
edu-4309	272	2	is	be	AUX
edu-4309	272	3	key	key	ADJ
edu-4309	272	4	mathematical	mathematical	ADJ
edu-4309	272	5	skill	skill	NOUN
edu-4309	272	6	that	that	PRON
edu-4309	272	7	enables	enable	VERB
edu-4309	272	8	to	to	PART
edu-4309	272	9	comprehend	comprehend	VERB
edu-4309	272	10	mathematical	mathematical	ADJ
edu-4309	272	11	concepts	concept	NOUN
edu-4309	272	12	.	.	PUNCT
edu-4309	273	1	representation	representation	NOUN
edu-4309	273	2	translation	translation	NOUN
edu-4309	273	3	fluency	fluency	NOUN
edu-4309	273	4	(	(	PUNCT
edu-4309	273	5	rtf	rtf	NOUN
edu-4309	273	6	)	)	PUNCT
edu-4309	273	7	is	be	AUX
edu-4309	273	8	the	the	DET
edu-4309	273	9	main	main	ADJ
edu-4309	273	10	components	component	NOUN
edu-4309	273	11	of	of	ADP
edu-4309	273	12	rf	rf	PRON
edu-4309	273	13	that	that	PRON
edu-4309	273	14	characterize	characterize	VERB
edu-4309	273	15	students	student	NOUN
edu-4309	273	16	who	who	PRON
edu-4309	273	17	excel	excel	VERB
edu-4309	273	18	in	in	ADP
edu-4309	273	19	mathematics	mathematic	NOUN
edu-4309	273	20	.	.	PUNCT
edu-4309	274	1	due	due	ADP
edu-4309	274	2	to	to	ADP
edu-4309	274	3	the	the	DET
edu-4309	274	4	advent	advent	NOUN
edu-4309	274	5	of	of	ADP
edu-4309	274	6	multiple	multiple	ADJ
edu-4309	274	7	interface	interface	NOUN
edu-4309	274	8	mathematical	mathematical	ADJ
edu-4309	274	9	technologies	technology	NOUN
edu-4309	274	10	,	,	PUNCT
edu-4309	274	11	quantity	quantity	NOUN
edu-4309	274	12	and	and	CCONJ
edu-4309	274	13	quality	quality	NOUN
edu-4309	274	14	of	of	ADP
edu-4309	274	15	mrs	mrs	PROPN
edu-4309	274	16	used	use	VERB
edu-4309	274	17	in	in	ADP
edu-4309	274	18	a	a	DET
edu-4309	274	19	classroom	classroom	NOUN
edu-4309	274	20	instruction	instruction	NOUN
edu-4309	274	21	is	be	AUX
edu-4309	274	22	increased	increase	VERB
edu-4309	274	23	.	.	PUNCT
edu-4309	275	1	geogebra	geogebra	NOUN
edu-4309	275	2	is	be	AUX
edu-4309	275	3	one	one	NUM
edu-4309	275	4	of	of	ADP
edu-4309	275	5	the	the	DET
edu-4309	275	6	dynamic	dynamic	ADJ
edu-4309	275	7	software	software	NOUN
edu-4309	275	8	with	with	ADP
edu-4309	275	9	multiple	multiple	ADJ
edu-4309	275	10	interfaces	interface	NOUN
edu-4309	275	11	that	that	PRON
edu-4309	275	12	support	support	VERB
edu-4309	275	13	multiple	multiple	ADJ
edu-4309	275	14	representations	representation	NOUN
edu-4309	275	15	.	.	PUNCT
edu-4309	276	1	hence	hence	ADV
edu-4309	276	2	,	,	PUNCT
edu-4309	276	3	this	this	DET
edu-4309	276	4	study	study	NOUN
edu-4309	276	5	was	be	AUX
edu-4309	276	6	mainly	mainly	ADV
edu-4309	276	7	focused	focus	VERB
edu-4309	276	8	on	on	ADP
edu-4309	276	9	geogebra	geogebra	NOUN
edu-4309	276	10	assisted	assist	VERB
edu-4309	276	11	multiple	multiple	ADJ
edu-4309	276	12	representations	representation	NOUN
edu-4309	276	13	approach	approach	NOUN
edu-4309	276	14	on	on	ADP
edu-4309	276	15	students	student	NOUN
edu-4309	276	16	’	'	PUNCT
edu-4309	276	17	performance	performance	NOUN
edu-4309	276	18	in	in	ADP
edu-4309	276	19	rtf	rtf	NOUN
edu-4309	276	20	in	in	ADP
edu-4309	276	21	learning	learn	VERB
edu-4309	276	22	calculus	calculus	NOUN
edu-4309	276	23	.	.	PUNCT
edu-4309	277	1	three	three	NUM
edu-4309	277	2	intact	intact	ADJ
edu-4309	277	3	groups	group	NOUN
edu-4309	277	4	from	from	ADP
edu-4309	277	5	two	two	NUM
edu-4309	277	6	ethiopian	ethiopian	ADJ
edu-4309	277	7	universities	university	NOUN
edu-4309	277	8	participated	participate	VERB
edu-4309	277	9	in	in	ADP
edu-4309	277	10	this	this	DET
edu-4309	277	11	study	study	NOUN
edu-4309	277	12	.	.	PUNCT
edu-4309	278	1	jigjig	jigjig	PROPN
edu-4309	278	2	university	university	PROPN
edu-4309	278	3	(	(	PUNCT
edu-4309	278	4	jju	jju	PROPN
edu-4309	278	5	)	)	PUNCT
edu-4309	278	6	and	and	CCONJ
edu-4309	278	7	kebri	kebri	NOUN
edu-4309	278	8	-	-	PUNCT
edu-4309	278	9	dehar	dehar	NOUN
edu-4309	278	10	university	university	NOUN
edu-4309	278	11	(	(	PUNCT
edu-4309	278	12	kdu	kdu	PROPN
edu-4309	278	13	)	)	PUNCT
edu-4309	278	14	were	be	AUX
edu-4309	278	15	purposely	purposely	ADV
edu-4309	278	16	selected	select	VERB
edu-4309	278	17	due	due	ADP
edu-4309	278	18	to	to	ADP
edu-4309	278	19	the	the	DET
edu-4309	278	20	parallel	parallel	ADJ
edu-4309	278	21	admitting	admitting	NOUN
edu-4309	278	22	of	of	ADP
edu-4309	278	23	first	first	ADJ
edu-4309	278	24	year	year	NOUN
edu-4309	278	25	students	student	NOUN
edu-4309	278	26	in	in	ADP
edu-4309	278	27	the	the	DET
edu-4309	278	28	2019/20	2019/20	NUM
edu-4309	278	29	academic	academic	ADJ
edu-4309	278	30	year	year	NOUN
edu-4309	278	31	,	,	PUNCT
edu-4309	278	32	the	the	DET
edu-4309	278	33	coinciding	coinciding	NOUN
edu-4309	278	34	of	of	ADP
edu-4309	278	35	time	time	NOUN
edu-4309	278	36	with	with	ADP
edu-4309	278	37	the	the	DET
edu-4309	278	38	approval	approval	NOUN
edu-4309	278	39	of	of	ADP
edu-4309	278	40	proposal	proposal	NOUN
edu-4309	278	41	,	,	PUNCT
edu-4309	278	42	similarity	similarity	NOUN
edu-4309	278	43	of	of	ADP
edu-4309	278	44	the	the	DET
edu-4309	278	45	universities	university	NOUN
edu-4309	278	46	in	in	ADP
edu-4309	278	47	terms	term	NOUN
edu-4309	278	48	of	of	ADP
edu-4309	278	49	geographical	geographical	ADJ
edu-4309	278	50	and	and	CCONJ
edu-4309	278	51	cultural	cultural	ADJ
edu-4309	278	52	context	context	NOUN
edu-4309	278	53	.	.	PUNCT
edu-4309	279	1	one	one	NUM
edu-4309	279	2	intact	intact	ADJ
edu-4309	279	3	class	class	NOUN
edu-4309	279	4	from	from	ADP
edu-4309	279	5	jju	jju	PROPN
edu-4309	279	6	and	and	CCONJ
edu-4309	279	7	two	two	NUM
edu-4309	279	8	intact	intact	ADJ
edu-4309	279	9	classes	class	NOUN
edu-4309	279	10	from	from	ADP
edu-4309	279	11	kdu	kdu	PROPN
edu-4309	279	12	were	be	AUX
edu-4309	279	13	randomly	randomly	ADV
edu-4309	279	14	selected	select	VERB
edu-4309	279	15	as	as	ADP
edu-4309	279	16	participants	participant	NOUN
edu-4309	279	17	of	of	ADP
edu-4309	279	18	this	this	DET
edu-4309	279	19	study	study	NOUN
edu-4309	279	20	.	.	PUNCT
edu-4309	280	1	the	the	DET
edu-4309	280	2	intact	intact	ADJ
edu-4309	280	3	class	class	NOUN
edu-4309	280	4	from	from	ADP
edu-4309	280	5	jju	jju	PROPN
edu-4309	280	6	was	be	AUX
edu-4309	280	7	assigned	assign	VERB
edu-4309	280	8	into	into	ADP
edu-4309	280	9	the	the	DET
edu-4309	280	10	geogebra	geogebra	NOUN
edu-4309	280	11	assisted	assist	VERB
edu-4309	280	12	multiple	multiple	ADJ
edu-4309	280	13	representations	representation	NOUN
edu-4309	280	14	approach	approach	NOUN
edu-4309	280	15	(	(	PUNCT
edu-4309	280	16	labeled	label	VERB
edu-4309	280	17	as	as	ADP
edu-4309	280	18	mrt	mrt	PROPN
edu-4309	280	19	)	)	PUNCT
edu-4309	280	20	and	and	CCONJ
edu-4309	280	21	the	the	DET
edu-4309	280	22	two	two	NUM
edu-4309	280	23	intact	intact	ADJ
edu-4309	280	24	classes	class	NOUN
edu-4309	280	25	from	from	ADP
edu-4309	280	26	kdu	kdu	PROPN
edu-4309	280	27	were	be	AUX
edu-4309	280	28	assigned	assign	VERB
edu-4309	280	29	into	into	ADP
edu-4309	280	30	multiple	multiple	ADJ
edu-4309	280	31	representations	representation	NOUN
edu-4309	280	32	approach	approach	NOUN
edu-4309	280	33	(	(	PUNCT
edu-4309	280	34	labeled	label	VERB
edu-4309	280	35	as	as	ADP
edu-4309	280	36	mr	mr	PROPN
edu-4309	280	37	)	)	PUNCT
edu-4309	280	38	and	and	CCONJ
edu-4309	280	39	comparison	comparison	NOUN
edu-4309	280	40	group	group	NOUN
edu-4309	280	41	(	(	PUNCT
edu-4309	280	42	labeled	label	VERB
edu-4309	280	43	as	as	ADP
edu-4309	280	44	cg	cg	NOUN
edu-4309	280	45	)	)	PUNCT
edu-4309	280	46	.	.	PUNCT
edu-4309	281	1	the	the	DET
edu-4309	281	2	three	three	NUM
edu-4309	281	3	groups	group	NOUN
edu-4309	281	4	were	be	AUX
edu-4309	281	5	selected	select	VERB
edu-4309	281	6	from	from	ADP
edu-4309	281	7	first	first	ADJ
edu-4309	281	8	year	year	NOUN
edu-4309	281	9	social	social	ADJ
edu-4309	281	10	science	science	NOUN
edu-4309	281	11	stream	stream	NOUN
edu-4309	281	12	students	student	NOUN
edu-4309	281	13	who	who	PRON
edu-4309	281	14	were	be	AUX
edu-4309	281	15	admitted	admit	VERB
edu-4309	281	16	based	base	VERB
edu-4309	281	17	on	on	ADP
edu-4309	281	18	the	the	DET
edu-4309	281	19	newly	newly	ADV
edu-4309	281	20	endorsed	endorse	VERB
edu-4309	281	21	higher	high	ADJ
edu-4309	281	22	education	education	NOUN
edu-4309	281	23	educational	educational	ADJ
edu-4309	281	24	roadmap	roadmap	NOUN
edu-4309	281	25	and	and	CCONJ
edu-4309	281	26	registered	register	VERB
edu-4309	281	27	for	for	ADP
edu-4309	281	28	the	the	DET
edu-4309	281	29	course	course	NOUN
edu-4309	281	30	mathematics	mathematic	NOUN
edu-4309	281	31	for	for	ADP
edu-4309	281	32	social	social	ADJ
edu-4309	281	33	science	science	NOUN
edu-4309	281	34	.	.	PUNCT
edu-4309	282	1	pretest	pret	ADJ
edu-4309	282	2	and	and	CCONJ
edu-4309	282	3	posttest	posttest	ADJ
edu-4309	282	4	were	be	AUX
edu-4309	282	5	used	use	VERB
edu-4309	282	6	as	as	ADP
edu-4309	282	7	means	mean	NOUN
edu-4309	282	8	of	of	ADP
edu-4309	282	9	data	datum	NOUN
edu-4309	282	10	collection	collection	NOUN
edu-4309	282	11	tools	tool	NOUN
edu-4309	282	12	.	.	PUNCT
edu-4309	283	1	the	the	DET
edu-4309	283	2	pretest	pretest	NOUN
edu-4309	283	3	was	be	AUX
edu-4309	283	4	used	use	VERB
edu-4309	283	5	to	to	PART
edu-4309	283	6	measure	measure	VERB
edu-4309	283	7	between	between	ADP
edu-4309	283	8	group	group	NOUN
edu-4309	283	9	differences	difference	NOUN
edu-4309	283	10	before	before	ADP
edu-4309	283	11	exposure	exposure	NOUN
edu-4309	283	12	to	to	ADP
edu-4309	283	13	the	the	DET
edu-4309	283	14	intervention	intervention	NOUN
edu-4309	283	15	.	.	PUNCT
edu-4309	284	1	any	any	DET
edu-4309	284	2	difference	difference	NOUN
edu-4309	284	3	on	on	ADP
edu-4309	284	4	the	the	DET
edu-4309	284	5	pretest	pretest	NOUN
edu-4309	284	6	was	be	AUX
edu-4309	284	7	controlled	control	VERB
edu-4309	284	8	using	use	VERB
edu-4309	284	9	appropriate	appropriate	ADJ
edu-4309	284	10	statistical	statistical	ADJ
edu-4309	284	11	tools	tool	NOUN
edu-4309	284	12	so	so	SCONJ
edu-4309	284	13	that	that	SCONJ
edu-4309	284	14	the	the	DET
edu-4309	284	15	group	group	NOUN
edu-4309	284	16	variation	variation	NOUN
edu-4309	284	17	on	on	ADP
edu-4309	284	18	the	the	DET
edu-4309	284	19	posttest	posttest	NOUN
edu-4309	284	20	was	be	AUX
edu-4309	284	21	accountable	accountable	ADJ
edu-4309	284	22	for	for	ADP
edu-4309	284	23	the	the	DET
edu-4309	284	24	treatment	treatment	NOUN
edu-4309	284	25	type	type	NOUN
edu-4309	284	26	.	.	PUNCT
edu-4309	285	1	the	the	DET
edu-4309	285	2	data	datum	NOUN
edu-4309	285	3	obtained	obtain	VERB
edu-4309	285	4	from	from	ADP
edu-4309	285	5	the	the	DET
edu-4309	285	6	data	datum	NOUN
edu-4309	285	7	collection	collection	NOUN
edu-4309	285	8	tools	tool	NOUN
edu-4309	285	9	were	be	AUX
edu-4309	285	10	made	make	VERB
edu-4309	285	11	ready	ready	ADJ
edu-4309	285	12	for	for	ADP
edu-4309	285	13	analysis	analysis	NOUN
edu-4309	285	14	and	and	CCONJ
edu-4309	285	15	different	different	ADJ
edu-4309	285	16	statistical	statistical	ADJ
edu-4309	285	17	methods	method	NOUN
edu-4309	285	18	were	be	AUX
edu-4309	285	19	used	use	VERB
edu-4309	285	20	to	to	PART
edu-4309	285	21	analyze	analyze	VERB
edu-4309	285	22	the	the	DET
edu-4309	285	23	quantitative	quantitative	ADJ
edu-4309	285	24	data	datum	NOUN
edu-4309	285	25	.	.	PUNCT
edu-4309	286	1	in	in	ADP
edu-4309	286	2	addition	addition	NOUN
edu-4309	286	3	to	to	ADP
edu-4309	286	4	the	the	DET
edu-4309	286	5	statistically	statistically	ADV
edu-4309	286	6	significant	significant	ADJ
edu-4309	286	7	values	value	NOUN
edu-4309	286	8	,	,	PUNCT
edu-4309	286	9	the	the	DET
edu-4309	286	10	researcher	researcher	NOUN
edu-4309	286	11	used	use	VERB
edu-4309	286	12	other	other	ADJ
edu-4309	286	13	indices	index	NOUN
edu-4309	286	14	like	like	ADP
edu-4309	286	15	,	,	PUNCT
edu-4309	286	16	effect	effect	NOUN
edu-4309	286	17	size	size	NOUN
edu-4309	286	18	,	,	PUNCT
edu-4309	286	19	frequency	frequency	NOUN
edu-4309	286	20	,	,	PUNCT
edu-4309	286	21	percentage	percentage	NOUN
edu-4309	286	22	,	,	PUNCT
edu-4309	286	23	categories	category	NOUN
edu-4309	286	24	and	and	CCONJ
edu-4309	286	25	levels	level	NOUN
edu-4309	286	26	to	to	PART
edu-4309	286	27	interpret	interpret	VERB
edu-4309	286	28	the	the	DET
edu-4309	286	29	clinical	clinical	ADJ
edu-4309	286	30	significance	significance	NOUN
edu-4309	286	31	of	of	ADP
edu-4309	286	32	findings	finding	NOUN
edu-4309	286	33	.	.	PUNCT
edu-4309	287	1	the	the	DET
edu-4309	287	2	concepts	concept	NOUN
edu-4309	287	3	of	of	ADP
edu-4309	287	4	calculus	calculus	NOUN
edu-4309	287	5	covered	cover	VERB
edu-4309	287	6	in	in	ADP
edu-4309	287	7	this	this	DET
edu-4309	287	8	study	study	NOUN
edu-4309	287	9	include	include	VERB
edu-4309	287	10	:	:	PUNCT
edu-4309	287	11	limits	limit	NOUN
edu-4309	287	12	,	,	PUNCT
edu-4309	287	13	continuity	continuity	NOUN
edu-4309	287	14	,	,	PUNCT
edu-4309	287	15	derivative	derivative	NOUN
edu-4309	287	16	and	and	CCONJ
edu-4309	287	17	application	application	NOUN
edu-4309	287	18	of	of	ADP
edu-4309	287	19	derivative	derivative	NOUN
edu-4309	287	20	of	of	ADP
edu-4309	287	21	function	function	NOUN
edu-4309	287	22	of	of	ADP
edu-4309	287	23	single	single	ADJ
edu-4309	287	24	variable	variable	NOUN
edu-4309	287	25	.	.	PUNCT
edu-4309	288	1	a	a	DET
edu-4309	288	2	pretest	pretest	NOUN
edu-4309	288	3	was	be	AUX
edu-4309	288	4	administrated	administrate	VERB
edu-4309	288	5	to	to	PART
edu-4309	288	6	check	check	VERB
edu-4309	288	7	the	the	DET
edu-4309	288	8	equivalence	equivalence	NOUN
edu-4309	288	9	of	of	ADP
edu-4309	288	10	the	the	DET
edu-4309	288	11	three	three	NUM
edu-4309	288	12	groups	group	NOUN
edu-4309	288	13	on	on	ADP
edu-4309	288	14	their	their	PRON
edu-4309	288	15	performance	performance	NOUN
edu-4309	288	16	on	on	ADP
edu-4309	288	17	rtf	rtf	NOUN
edu-4309	288	18	just	just	ADV
edu-4309	288	19	before	before	SCONJ
edu-4309	288	20	the	the	DET
edu-4309	288	21	intervention	intervention	NOUN
edu-4309	288	22	had	have	AUX
edu-4309	288	23	been	be	AUX
edu-4309	288	24	begun	begin	VERB
edu-4309	288	25	.	.	PUNCT
edu-4309	289	1	the	the	DET
edu-4309	289	2	contents	content	NOUN
edu-4309	289	3	of	of	ADP
edu-4309	289	4	the	the	DET
edu-4309	289	5	pretest	pretest	NOUN
edu-4309	289	6	were	be	AUX
edu-4309	289	7	compiled	compile	VERB
edu-4309	289	8	from	from	ADP
edu-4309	289	9	function	function	NOUN
edu-4309	289	10	concepts	concept	NOUN
edu-4309	289	11	,	,	PUNCT
edu-4309	289	12	which	which	PRON
edu-4309	289	13	are	be	AUX
edu-4309	289	14	a	a	DET
edu-4309	289	15	pre	pre	NOUN
edu-4309	289	16	-	-	NOUN
edu-4309	289	17	requisite	requisite	ADJ
edu-4309	289	18	for	for	ADP
edu-4309	289	19	calculus	calculus	NOUN
edu-4309	289	20	.	.	PUNCT
edu-4309	290	1	the	the	DET
edu-4309	290	2	treatment	treatment	NOUN
edu-4309	290	3	lasted	last	VERB
edu-4309	290	4	for	for	ADP
edu-4309	290	5	about	about	ADV
edu-4309	290	6	six	six	NUM
edu-4309	290	7	weeks	week	NOUN
edu-4309	290	8	.	.	PUNCT
edu-4309	291	1	upon	upon	SCONJ
edu-4309	291	2	the	the	DET
edu-4309	291	3	accomplishment	accomplishment	NOUN
edu-4309	291	4	of	of	ADP
edu-4309	291	5	the	the	DET
edu-4309	291	6	treatment	treatment	NOUN
edu-4309	291	7	,	,	PUNCT
edu-4309	291	8	a	a	DET
edu-4309	291	9	posttest	posttest	NOUN
edu-4309	291	10	was	be	AUX
edu-4309	291	11	administrated	administrate	VERB
edu-4309	291	12	immediately	immediately	ADV
edu-4309	291	13	in	in	ADP
edu-4309	291	14	the	the	DET
edu-4309	291	15	beginning	beginning	NOUN
edu-4309	291	16	of	of	ADP
edu-4309	291	17	the	the	DET
edu-4309	291	18	seventh	seventh	ADJ
edu-4309	291	19	week	week	NOUN
edu-4309	291	20	of	of	ADP
edu-4309	291	21	the	the	DET
edu-4309	291	22	treatment	treatment	NOUN
edu-4309	291	23	.	.	PUNCT
edu-4309	292	1	the	the	DET
edu-4309	292	2	contents	content	NOUN
edu-4309	292	3	of	of	ADP
edu-4309	292	4	the	the	DET
edu-4309	292	5	posttest	postt	ADJ
edu-4309	292	6	were	be	AUX
edu-4309	292	7	compiled	compile	VERB
edu-4309	292	8	from	from	ADP
edu-4309	292	9	the	the	DET
edu-4309	292	10	contents	content	NOUN
edu-4309	292	11	covered	cover	VERB
edu-4309	292	12	during	during	ADP
edu-4309	292	13	the	the	DET
edu-4309	292	14	intervention	intervention	NOUN
edu-4309	292	15	but	but	CCONJ
edu-4309	292	16	with	with	ADP
edu-4309	292	17	similar	similar	ADJ
edu-4309	292	18	constructs	construct	NOUN
edu-4309	292	19	with	with	ADP
edu-4309	292	20	the	the	DET
edu-4309	292	21	pretest	pretest	NOUN
edu-4309	292	22	.	.	PUNCT
edu-4309	293	1	similarly	similarly	ADV
edu-4309	293	2	,	,	PUNCT
edu-4309	293	3	the	the	DET
edu-4309	293	4	types	type	NOUN
edu-4309	293	5	of	of	ADP
edu-4309	293	6	translation	translation	NOUN
edu-4309	293	7	error	error	NOUN
edu-4309	293	8	committed	commit	VERB
edu-4309	293	9	were	be	AUX
edu-4309	293	10	categorized	categorize	VERB
edu-4309	293	11	into	into	ADP
edu-4309	293	12	implementation	implementation	NOUN
edu-4309	293	13	error	error	NOUN
edu-4309	293	14	,	,	PUNCT
edu-4309	293	15	interpretation	interpretation	NOUN
edu-4309	293	16	error	error	NOUN
edu-4309	293	17	and	and	CCONJ
edu-4309	293	18	preservation	preservation	NOUN
edu-4309	293	19	error	error	NOUN
edu-4309	293	20	.	.	PUNCT
edu-4309	294	1	the	the	DET
edu-4309	294	2	three	three	NUM
edu-4309	294	3	groups	group	NOUN
edu-4309	294	4	were	be	AUX
edu-4309	294	5	compared	compare	VERB
edu-4309	294	6	on	on	ADP
edu-4309	294	7	the	the	DET
edu-4309	294	8	rtf	rtf	NOUN
edu-4309	294	9	posttests	posttest	NOUN
edu-4309	294	10	using	use	VERB
edu-4309	294	11	rtf	rtf	NOUN
edu-4309	294	12	pretest	pretest	NOUN
edu-4309	294	13	as	as	ADP
edu-4309	294	14	covariates	covariate	NOUN
edu-4309	294	15	.	.	PUNCT
edu-4309	295	1	the	the	DET
edu-4309	295	2	ancova	ancova	PROPN
edu-4309	295	3	result	result	NOUN
edu-4309	295	4	confirmed	confirm	VERB
edu-4309	295	5	that	that	SCONJ
edu-4309	295	6	there	there	PRON
edu-4309	295	7	was	be	VERB
edu-4309	295	8	statistically	statistically	ADV
edu-4309	295	9	significant	significant	ADJ
edu-4309	295	10	adjusted	adjust	VERB
edu-4309	295	11	mean	mean	NOUN
edu-4309	295	12	different	different	ADJ
edu-4309	295	13	among	among	ADP
edu-4309	295	14	the	the	DET
edu-4309	295	15	groups	group	NOUN
edu-4309	295	16	on	on	ADP
edu-4309	295	17	the	the	DET
edu-4309	295	18	rtf	rtf	NOUN
edu-4309	295	19	posttest	posttest	NOUN
edu-4309	295	20	after	after	ADP
edu-4309	295	21	controlling	control	VERB
edu-4309	295	22	for	for	ADP
edu-4309	295	23	rtf	rtf	NOUN
edu-4309	295	24	pretest	pret	ADJ
edu-4309	295	25	(	(	PUNCT
edu-4309	295	26	f(2,160	f(2,160	NOUN
edu-4309	295	27	)	)	PUNCT
edu-4309	295	28	=	=	NUM
edu-4309	295	29	5.29	5.29	NUM
edu-4309	295	30	,	,	PUNCT
edu-4309	295	31	p	p	X
edu-4309	295	32	=	=	NOUN
edu-4309	295	33	.006	.006	NUM
edu-4309	295	34	,	,	PUNCT
edu-4309	295	35	partial	partial	ADJ
edu-4309	295	36	𝜂2	𝜂2	NOUN
edu-4309	295	37	=	=	NOUN
edu-4309	295	38	.062	.062	NUM
edu-4309	295	39	)	)	PUNCT
edu-4309	295	40	.	.	PUNCT
edu-4309	296	1	regardless	regardless	ADV
edu-4309	296	2	of	of	ADP
edu-4309	296	3	the	the	DET
edu-4309	296	4	statistically	statistically	ADV
edu-4309	296	5	significant	significant	ADJ
edu-4309	296	6	difference	difference	NOUN
edu-4309	296	7	,	,	PUNCT
edu-4309	296	8	the	the	DET
edu-4309	296	9	mean	mean	ADJ
edu-4309	296	10	differences	difference	NOUN
edu-4309	296	11	between	between	ADP
edu-4309	296	12	the	the	DET
edu-4309	296	13	groups	group	NOUN
edu-4309	296	14	were	be	AUX
edu-4309	296	15	quite	quite	ADV
edu-4309	296	16	small	small	ADJ
edu-4309	296	17	.	.	PUNCT
edu-4309	297	1	this	this	PRON
edu-4309	297	2	was	be	AUX
edu-4309	297	3	manifested	manifest	VERB
edu-4309	297	4	in	in	ADP
edu-4309	297	5	the	the	DET
edu-4309	297	6	effect	effect	NOUN
edu-4309	297	7	size	size	NOUN
edu-4309	297	8	that	that	SCONJ
edu-4309	297	9	6.2	6.2	NUM
edu-4309	297	10	%	%	NOUN
edu-4309	297	11	of	of	ADP
edu-4309	297	12	the	the	DET
edu-4309	297	13	variances	variance	NOUN
edu-4309	297	14	on	on	ADP
edu-4309	297	15	the	the	DET
edu-4309	297	16	rtf	rtf	NOUN
edu-4309	297	17	posttest	posttest	NOUN
edu-4309	297	18	was	be	AUX
edu-4309	297	19	explained	explain	VERB
edu-4309	297	20	by	by	ADP
edu-4309	297	21	the	the	DET
edu-4309	297	22	treatment	treatment	NOUN
edu-4309	297	23	type	type	NOUN
edu-4309	297	24	,	,	PUNCT
edu-4309	297	25	which	which	PRON
edu-4309	297	26	was	be	AUX
edu-4309	297	27	quite	quite	ADV
edu-4309	297	28	small	small	ADJ
edu-4309	297	29	effect	effect	NOUN
edu-4309	297	30	size	size	NOUN
edu-4309	297	31	.	.	PUNCT
edu-4309	298	1	a	a	DET
edu-4309	298	2	multiple	multiple	ADJ
edu-4309	298	3	comparison	comparison	NOUN
edu-4309	298	4	result	result	NOUN
edu-4309	298	5	shows	show	VERB
edu-4309	298	6	that	that	SCONJ
edu-4309	298	7	the	the	DET
edu-4309	298	8	mrt	mrt	PROPN
edu-4309	298	9	score	score	NOUN
edu-4309	298	10	on	on	ADP
edu-4309	298	11	the	the	DET
edu-4309	298	12	rtf	rtf	NOUN
edu-4309	298	13	posttest	posttest	NOUN
edu-4309	298	14	was	be	AUX
edu-4309	298	15	significantly	significantly	ADV
edu-4309	298	16	greater	great	ADJ
edu-4309	298	17	than	than	ADP
edu-4309	298	18	the	the	DET
edu-4309	298	19	mr	mr	PROPN
edu-4309	298	20	and	and	CCONJ
edu-4309	298	21	cg	cg	PROPN
edu-4309	298	22	.	.	PUNCT
edu-4309	299	1	but	but	CCONJ
edu-4309	299	2	,	,	PUNCT
edu-4309	299	3	no	no	DET
edu-4309	299	4	difference	difference	NOUN
edu-4309	299	5	was	be	AUX
edu-4309	299	6	detected	detect	VERB
edu-4309	299	7	between	between	ADP
edu-4309	299	8	the	the	DET
edu-4309	299	9	mr	mr	PROPN
edu-4309	299	10	and	and	CCONJ
edu-4309	299	11	cg	cg	NOUN
edu-4309	299	12	.	.	PUNCT
edu-4309	300	1	this	this	DET
edu-4309	300	2	result	result	NOUN
edu-4309	300	3	revealed	reveal	VERB
edu-4309	300	4	that	that	SCONJ
edu-4309	300	5	geogebra	geogebra	NOUN
edu-4309	300	6	supported	support	VERB
edu-4309	300	7	multiple	multiple	ADJ
edu-4309	300	8	representations	representation	NOUN
edu-4309	300	9	approaches	approach	NOUN
edu-4309	300	10	brought	bring	VERB
edu-4309	300	11	a	a	DET
edu-4309	300	12	better	well	ADJ
edu-4309	300	13	level	level	NOUN
edu-4309	300	14	of	of	ADP
edu-4309	300	15	sophistication	sophistication	NOUN
edu-4309	300	16	in	in	ADP
edu-4309	300	17	rtf	rtf	PROPN
edu-4309	300	18	than	than	ADP
edu-4309	300	19	the	the	DET
edu-4309	300	20	multiple	multiple	ADJ
edu-4309	300	21	representations	representation	NOUN
edu-4309	300	22	approach	approach	NOUN
edu-4309	300	23	only	only	ADV
edu-4309	300	24	and	and	CCONJ
edu-4309	300	25	the	the	DET
edu-4309	300	26	traditional	traditional	ADJ
edu-4309	300	27	approach	approach	NOUN
edu-4309	300	28	.	.	PUNCT
edu-4309	301	1	this	this	DET
edu-4309	301	2	result	result	NOUN
edu-4309	301	3	align	align	VERB
edu-4309	301	4	with	with	ADP
edu-4309	301	5	bayazit	bayazit	PROPN
edu-4309	301	6	and	and	CCONJ
edu-4309	301	7	aksoy	aksoy	NOUN
edu-4309	301	8	(	(	PUNCT
edu-4309	301	9	2010	2010	NUM
edu-4309	301	10	)	)	PUNCT
edu-4309	301	11	idea	idea	NOUN
edu-4309	301	12	that	that	SCONJ
edu-4309	301	13	geogebra	geogebra	NOUN
edu-4309	301	14	appears	appear	VERB
edu-4309	301	15	to	to	PART
edu-4309	301	16	be	be	AUX
edu-4309	301	17	a	a	DET
edu-4309	301	18	powerful	powerful	ADJ
edu-4309	301	19	instructional	instructional	ADJ
edu-4309	301	20	tool	tool	NOUN
edu-4309	301	21	that	that	PRON
edu-4309	301	22	facilitates	facilitate	VERB
edu-4309	301	23	connection	connection	NOUN
edu-4309	301	24	and	and	CCONJ
edu-4309	301	25	translation	translation	NOUN
edu-4309	301	26	of	of	ADP
edu-4309	301	27	representations	representation	NOUN
edu-4309	301	28	.	.	PUNCT
edu-4309	302	1	to	to	PART
edu-4309	302	2	investigate	investigate	VERB
edu-4309	302	3	the	the	DET
edu-4309	302	4	type	type	NOUN
edu-4309	302	5	of	of	ADP
edu-4309	302	6	translation	translation	NOUN
edu-4309	302	7	error	error	NOUN
edu-4309	302	8	committed	commit	VERB
edu-4309	302	9	in	in	ADP
edu-4309	302	10	the	the	DET
edu-4309	302	11	process	process	NOUN
edu-4309	302	12	of	of	ADP
edu-4309	302	13	representation	representation	NOUN
edu-4309	302	14	translation	translation	NOUN
edu-4309	302	15	,	,	PUNCT
edu-4309	302	16	the	the	DET
edu-4309	302	17	students	student	NOUN
edu-4309	302	18	were	be	AUX
edu-4309	302	19	provided	provide	VERB
edu-4309	302	20	with	with	ADP
edu-4309	302	21	different	different	ADJ
edu-4309	302	22	tasks	task	NOUN
edu-4309	302	23	of	of	ADP
edu-4309	302	24	translating	translate	VERB
edu-4309	302	25	numerical	numerical	ADJ
edu-4309	302	26	,	,	PUNCT
edu-4309	302	27	graphical	graphical	ADJ
edu-4309	302	28	,	,	PUNCT
edu-4309	302	29	algebraic	algebraic	ADJ
edu-4309	302	30	and	and	CCONJ
edu-4309	302	31	verbal	verbal	ADJ
edu-4309	302	32	representations	representation	NOUN
edu-4309	302	33	of	of	ADP
edu-4309	302	34	calculus	calculus	NOUN
edu-4309	302	35	concepts	concept	NOUN
edu-4309	302	36	to	to	PART
edu-4309	302	37	delineate	delineate	VERB
edu-4309	302	38	the	the	DET
edu-4309	302	39	translation	translation	NOUN
edu-4309	302	40	error	error	NOUN
edu-4309	302	41	they	they	PRON
edu-4309	302	42	committed	commit	VERB
edu-4309	302	43	in	in	ADP
edu-4309	302	44	the	the	DET
edu-4309	302	45	process	process	NOUN
edu-4309	302	46	of	of	ADP
edu-4309	302	47	representation	representation	NOUN
edu-4309	302	48	translation	translation	NOUN
edu-4309	302	49	.	.	PUNCT
edu-4309	303	1	three	three	NUM
edu-4309	303	2	distinct	distinct	ADJ
edu-4309	303	3	types	type	NOUN
edu-4309	303	4	of	of	ADP
edu-4309	303	5	translation	translation	NOUN
edu-4309	303	6	errors	error	NOUN
edu-4309	303	7	were	be	AUX
edu-4309	303	8	identified	identify	VERB
edu-4309	303	9	that	that	SCONJ
edu-4309	303	10	the	the	DET
edu-4309	303	11	students	student	NOUN
edu-4309	303	12	were	be	AUX
edu-4309	303	13	committed	commit	VERB
edu-4309	303	14	and	and	CCONJ
edu-4309	303	15	quantified	quantify	VERB
edu-4309	303	16	as	as	ADP
edu-4309	303	17	a	a	DET
edu-4309	303	18	frequency	frequency	NOUN
edu-4309	303	19	and	and	CCONJ
edu-4309	303	20	percentage	percentage	NOUN
edu-4309	303	21	in	in	ADP
edu-4309	303	22	the	the	DET
edu-4309	303	23	process	process	NOUN
edu-4309	303	24	of	of	ADP
edu-4309	303	25	representation	representation	NOUN
edu-4309	303	26	translation	translation	NOUN
edu-4309	303	27	(	(	PUNCT
edu-4309	303	28	adu	adu	ADJ
edu-4309	303	29	-	-	PUNCT
edu-4309	303	30	gyamfi	gyamfi	NOUN
edu-4309	303	31	et	et	PROPN
edu-4309	303	32	al	al	PROPN
edu-4309	303	33	.	.	PROPN
edu-4309	303	34	,	,	PUNCT
edu-4309	303	35	2012	2012	NUM
edu-4309	303	36	)	)	PUNCT
edu-4309	303	37	.	.	PUNCT
edu-4309	304	1	students	student	NOUN
edu-4309	304	2	were	be	AUX
edu-4309	304	3	provided	provide	VERB
edu-4309	304	4	with	with	ADP
edu-4309	304	5	different	different	ADJ
edu-4309	304	6	tasks	task	NOUN
edu-4309	304	7	of	of	ADP
edu-4309	304	8	representation	representation	NOUN
edu-4309	304	9	translating	translating	NOUN
edu-4309	304	10	from	from	ADP
edu-4309	304	11	calculus	calculus	NOUN
edu-4309	304	12	concepts	concept	NOUN
edu-4309	304	13	to	to	PART
edu-4309	304	14	describe	describe	VERB
edu-4309	304	15	the	the	DET
edu-4309	304	16	error	error	NOUN
edu-4309	304	17	type	type	NOUN
edu-4309	304	18	they	they	PRON
edu-4309	304	19	committed	commit	VERB
edu-4309	304	20	in	in	ADP
edu-4309	304	21	the	the	DET
edu-4309	304	22	process	process	NOUN
edu-4309	304	23	of	of	ADP
edu-4309	304	24	representation	representation	NOUN
edu-4309	304	25	translation	translation	NOUN
edu-4309	304	26	.	.	PUNCT
edu-4309	305	1	percentage	percentage	NOUN
edu-4309	305	2	was	be	AUX
edu-4309	305	3	used	use	VERB
edu-4309	305	4	to	to	PART
edu-4309	305	5	compare	compare	VERB
edu-4309	305	6	the	the	DET
edu-4309	305	7	three	three	NUM
edu-4309	305	8	groups	group	NOUN
edu-4309	305	9	on	on	ADP
edu-4309	305	10	these	these	DET
edu-4309	305	11	translation	translation	NOUN
edu-4309	305	12	error	error	NOUN
edu-4309	305	13	types	type	NOUN
edu-4309	305	14	.	.	PUNCT
edu-4309	306	1	the	the	DET
edu-4309	306	2	obtained	obtain	VERB
edu-4309	306	3	results	result	NOUN
edu-4309	306	4	revealed	reveal	VERB
edu-4309	306	5	that	that	SCONJ
edu-4309	306	6	interpretation	interpretation	NOUN
edu-4309	306	7	error	error	NOUN
edu-4309	306	8	was	be	AUX
edu-4309	306	9	the	the	DET
edu-4309	306	10	most	most	ADV
edu-4309	306	11	frequently	frequently	ADV
edu-4309	306	12	committed	commit	VERB
edu-4309	306	13	error	error	NOUN
edu-4309	306	14	across	across	ADP
edu-4309	306	15	the	the	DET
edu-4309	306	16	groups	group	NOUN
edu-4309	306	17	(	(	PUNCT
edu-4309	306	18	66	66	NUM
edu-4309	306	19	%	%	NOUN
edu-4309	306	20	of	of	ADP
edu-4309	306	21	the	the	DET
edu-4309	306	22	errors	error	NOUN
edu-4309	306	23	in	in	ADP
edu-4309	306	24	the	the	DET
edu-4309	306	25	mrt	mrt	PROPN
edu-4309	306	26	,	,	PUNCT
edu-4309	306	27	73	73	NUM
edu-4309	306	28	%	%	NOUN
edu-4309	306	29	of	of	ADP
edu-4309	306	30	the	the	DET
edu-4309	306	31	errors	error	NOUN
edu-4309	306	32	in	in	ADP
edu-4309	306	33	the	the	DET
edu-4309	306	34	mr	mr	PROPN
edu-4309	306	35	&	&	CCONJ
edu-4309	306	36	80	80	NUM
edu-4309	306	37	%	%	NOUN
edu-4309	306	38	of	of	ADP
edu-4309	306	39	the	the	DET
edu-4309	306	40	errors	error	NOUN
edu-4309	306	41	in	in	ADP
edu-4309	306	42	the	the	DET
edu-4309	306	43	cg	cg	NOUN
edu-4309	306	44	)	)	PUNCT
edu-4309	306	45	.	.	PUNCT
edu-4309	307	1	the	the	DET
edu-4309	307	2	implementation	implementation	NOUN
edu-4309	307	3	error	error	NOUN
edu-4309	307	4	was	be	AUX
edu-4309	307	5	less	less	ADV
edu-4309	307	6	frequently	frequently	ADV
edu-4309	307	7	appeared	appear	VERB
edu-4309	307	8	across	across	ADP
edu-4309	307	9	the	the	DET
edu-4309	307	10	groups	group	NOUN
edu-4309	307	11	(	(	PUNCT
edu-4309	307	12	21	21	NUM
edu-4309	307	13	%	%	NOUN
edu-4309	307	14	of	of	ADP
edu-4309	307	15	the	the	DET
edu-4309	307	16	errors	error	NOUN
edu-4309	307	17	in	in	ADP
edu-4309	307	18	the	the	DET
edu-4309	307	19	mrt	mrt	PROPN
edu-4309	307	20	,	,	PUNCT
edu-4309	307	21	23	23	NUM
edu-4309	307	22	%	%	NOUN
edu-4309	307	23	of	of	ADP
edu-4309	307	24	the	the	DET
edu-4309	307	25	errors	error	NOUN
edu-4309	307	26	in	in	ADP
edu-4309	307	27	the	the	DET
edu-4309	307	28	mr	mr	PROPN
edu-4309	307	29	&	&	CCONJ
edu-4309	307	30	9	9	NUM
edu-4309	307	31	%	%	NOUN
edu-4309	307	32	of	of	ADP
edu-4309	307	33	the	the	DET
edu-4309	307	34	errors	error	NOUN
edu-4309	307	35	in	in	ADP
edu-4309	307	36	the	the	DET
edu-4309	307	37	cg	cg	NOUN
edu-4309	307	38	)	)	PUNCT
edu-4309	307	39	next	next	ADV
edu-4309	307	40	to	to	ADP
edu-4309	307	41	preservation	preservation	NOUN
edu-4309	307	42	error	error	NOUN
edu-4309	307	43	(	(	PUNCT
edu-4309	307	44	13	13	NUM
edu-4309	307	45	%	%	NOUN
edu-4309	307	46	of	of	ADP
edu-4309	307	47	the	the	DET
edu-4309	307	48	errors	error	NOUN
edu-4309	307	49	in	in	ADP
edu-4309	307	50	mrt	mrt	PROPN
edu-4309	307	51	,	,	PUNCT
edu-4309	307	52	4	4	NUM
edu-4309	307	53	%	%	NOUN
edu-4309	307	54	of	of	ADP
edu-4309	307	55	the	the	DET
edu-4309	307	56	errors	error	NOUN
edu-4309	307	57	in	in	ADP
edu-4309	307	58	the	the	DET
edu-4309	307	59	mr	mr	PROPN
edu-4309	307	60	&	&	CCONJ
edu-4309	307	61	11	11	NUM
edu-4309	307	62	%	%	NOUN
edu-4309	307	63	of	of	ADP
edu-4309	307	64	the	the	DET
edu-4309	307	65	errors	error	NOUN
edu-4309	307	66	in	in	ADP
edu-4309	307	67	the	the	DET
edu-4309	307	68	cg	cg	NOUN
edu-4309	307	69	)	)	PUNCT
edu-4309	307	70	.	.	PUNCT
edu-4309	308	1	despite	despite	SCONJ
edu-4309	308	2	the	the	DET
edu-4309	308	3	distribution	distribution	NOUN
edu-4309	308	4	of	of	ADP
edu-4309	308	5	the	the	DET
edu-4309	308	6	error	error	NOUN
edu-4309	308	7	among	among	ADP
edu-4309	308	8	the	the	DET
edu-4309	308	9	three	three	NUM
edu-4309	308	10	groups	group	NOUN
edu-4309	308	11	appeared	appear	VERB
edu-4309	308	12	in	in	ADP
edu-4309	308	13	a	a	DET
edu-4309	308	14	similar	similar	ADJ
edu-4309	308	15	pattern	pattern	NOUN
edu-4309	308	16	,	,	PUNCT
edu-4309	308	17	the	the	DET
edu-4309	308	18	prevalence	prevalence	NOUN
edu-4309	308	19	of	of	ADP
edu-4309	308	20	interpretation	interpretation	NOUN
edu-4309	308	21	error	error	NOUN
edu-4309	308	22	was	be	AUX
edu-4309	308	23	higher	high	ADJ
edu-4309	308	24	in	in	ADP
edu-4309	308	25	the	the	DET
edu-4309	308	26	cg	cg	NOUN
edu-4309	308	27	than	than	ADP
edu-4309	308	28	the	the	DET
edu-4309	308	29	mrt	mrt	PROPN
edu-4309	308	30	and	and	CCONJ
edu-4309	308	31	mr	mr	PROPN
edu-4309	308	32	,	,	PUNCT
edu-4309	308	33	and	and	CCONJ
edu-4309	308	34	also	also	ADV
edu-4309	308	35	higher	high	ADJ
edu-4309	308	36	in	in	ADP
edu-4309	308	37	mr	mr	PROPN
edu-4309	308	38	than	than	ADP
edu-4309	308	39	in	in	ADP
edu-4309	308	40	mrt	mrt	PROPN
edu-4309	308	41	.	.	PUNCT
edu-4309	309	1	the	the	DET
edu-4309	309	2	students	student	NOUN
edu-4309	309	3	’	’	PART
edu-4309	309	4	translation	translation	NOUN
edu-4309	309	5	errors	error	NOUN
edu-4309	309	6	in	in	ADP
edu-4309	309	7	the	the	DET
edu-4309	309	8	three	three	NUM
edu-4309	309	9	groups	group	NOUN
edu-4309	309	10	remained	remain	VERB
edu-4309	309	11	more	more	ADV
edu-4309	309	12	concentrated	concentrated	ADJ
edu-4309	309	13	in	in	ADP
edu-4309	309	14	the	the	DET
edu-4309	309	15	interpretation	interpretation	NOUN
edu-4309	309	16	error	error	NOUN
edu-4309	309	17	after	after	ADP
edu-4309	309	18	the	the	DET
edu-4309	309	19	intervention	intervention	NOUN
edu-4309	309	20	.	.	PUNCT
edu-4309	310	1	hence	hence	ADV
edu-4309	310	2	,	,	PUNCT
edu-4309	310	3	the	the	DET
edu-4309	310	4	treatment	treatment	NOUN
edu-4309	310	5	type	type	NOUN
edu-4309	310	6	did	do	AUX
edu-4309	310	7	not	not	PART
edu-4309	310	8	bring	bring	VERB
edu-4309	310	9	a	a	DET
edu-4309	310	10	magnificent	magnificent	ADJ
edu-4309	310	11	variation	variation	NOUN
edu-4309	310	12	on	on	ADP
edu-4309	310	13	the	the	DET
edu-4309	310	14	students	student	NOUN
edu-4309	310	15	’	'	PUNCT
edu-4309	310	16	error	error	NOUN
edu-4309	310	17	type	type	NOUN
edu-4309	310	18	committed	commit	VERB
edu-4309	310	19	.	.	PUNCT
edu-4309	311	1	these	these	DET
edu-4309	311	2	results	result	NOUN
edu-4309	311	3	revealed	reveal	VERB
edu-4309	311	4	that	that	SCONJ
edu-4309	311	5	all	all	PRON
edu-4309	311	6	of	of	ADP
edu-4309	311	7	the	the	DET
edu-4309	311	8	students	student	NOUN
edu-4309	311	9	in	in	ADP
edu-4309	311	10	each	each	DET
edu-4309	311	11	group	group	NOUN
edu-4309	311	12	committed	commit	VERB
edu-4309	311	13	one	one	NUM
edu-4309	311	14	or	or	CCONJ
edu-4309	311	15	the	the	DET
edu-4309	311	16	other	other	ADJ
edu-4309	311	17	type	type	NOUN
edu-4309	311	18	of	of	ADP
edu-4309	311	19	translation	translation	NOUN
edu-4309	311	20	error	error	NOUN
edu-4309	311	21	.	.	PUNCT
edu-4309	312	1	that	that	PRON
edu-4309	312	2	is	is	ADV
edu-4309	312	3	,	,	PUNCT
edu-4309	312	4	no	no	DET
edu-4309	312	5	student	student	NOUN
edu-4309	312	6	perfectly	perfectly	ADV
edu-4309	312	7	constructed	construct	VERB
edu-4309	312	8	target	target	NOUN
edu-4309	312	9	representation	representation	NOUN
edu-4309	312	10	from	from	ADP
edu-4309	312	11	the	the	DET
edu-4309	312	12	source	source	NOUN
edu-4309	312	13	representation	representation	NOUN
edu-4309	312	14	.	.	PUNCT
edu-4309	313	1	errors	error	NOUN
edu-4309	313	2	were	be	AUX
edu-4309	313	3	detected	detect	VERB
edu-4309	313	4	in	in	ADP
edu-4309	313	5	all	all	DET
edu-4309	313	6	the	the	DET
edu-4309	313	7	translation	translation	NOUN
edu-4309	313	8	problems	problem	NOUN
edu-4309	313	9	for	for	ADP
edu-4309	313	10	each	each	DET
edu-4309	313	11	student	student	NOUN
edu-4309	313	12	.	.	PUNCT
edu-4309	314	1	altogether	altogether	ADV
edu-4309	314	2	,	,	PUNCT
edu-4309	314	3	these	these	DET
edu-4309	314	4	three	three	NUM
edu-4309	314	5	error	error	NOUN
edu-4309	314	6	types	type	NOUN
edu-4309	314	7	encapsulated	encapsulate	VERB
edu-4309	314	8	all	all	DET
edu-4309	314	9	possible	possible	ADJ
edu-4309	314	10	errors	error	NOUN
edu-4309	314	11	that	that	PRON
edu-4309	314	12	can	can	AUX
edu-4309	314	13	occur	occur	VERB
edu-4309	314	14	during	during	ADP
edu-4309	314	15	the	the	DET
edu-4309	314	16	translation	translation	NOUN
edu-4309	314	17	process	process	NOUN
edu-4309	314	18	.	.	PUNCT
edu-4309	315	1	these	these	DET
edu-4309	315	2	results	result	NOUN
edu-4309	315	3	conveyed	convey	VERB
edu-4309	315	4	the	the	DET
edu-4309	315	5	message	message	NOUN
edu-4309	315	6	that	that	SCONJ
edu-4309	315	7	learning	learn	VERB
edu-4309	315	8	calculus	calculus	NOUN
edu-4309	315	9	concepts	concept	NOUN
edu-4309	315	10	with	with	ADP
edu-4309	315	11	multiple	multiple	ADJ
edu-4309	315	12	representations	representation	NOUN
edu-4309	315	13	serves	serve	VERB
edu-4309	315	14	serious	serious	ADJ
edu-4309	315	15	attention	attention	NOUN
edu-4309	315	16	not	not	PART
edu-4309	315	17	to	to	PART
edu-4309	315	18	devastate	devastate	VERB
edu-4309	315	19	the	the	DET
edu-4309	315	20	learning	learning	NOUN
edu-4309	315	21	process	process	NOUN
edu-4309	315	22	of	of	ADP
edu-4309	315	23	the	the	DET
edu-4309	315	24	students	student	NOUN
edu-4309	315	25	.	.	PUNCT
edu-4309	316	1	many	many	ADJ
edu-4309	316	2	contributing	contribute	VERB
edu-4309	316	3	factors	factor	NOUN
edu-4309	316	4	are	be	AUX
edu-4309	316	5	involved	involve	VERB
edu-4309	316	6	for	for	ADP
edu-4309	316	7	the	the	DET
edu-4309	316	8	students	student	NOUN
edu-4309	316	9	’	’	PART
edu-4309	316	10	difficulties	difficulty	NOUN
edu-4309	316	11	in	in	ADP
edu-4309	316	12	the	the	DET
edu-4309	316	13	process	process	NOUN
edu-4309	316	14	of	of	ADP
edu-4309	316	15	representation	representation	NOUN
edu-4309	316	16	translation	translation	NOUN
edu-4309	316	17	.	.	PUNCT
edu-4309	317	1	adu	adu	ADJ
edu-4309	317	2	-	-	PUNCT
edu-4309	317	3	gyamfi	gyamfi	PROPN
edu-4309	317	4	et	et	PROPN
edu-4309	317	5	al	al	PROPN
edu-4309	317	6	.	.	PROPN
edu-4309	318	1	(	(	PUNCT
edu-4309	318	2	2012	2012	NUM
edu-4309	318	3	)	)	PUNCT
edu-4309	318	4	confirmed	confirm	VERB
edu-4309	318	5	that	that	SCONJ
edu-4309	318	6	asian	asian	ADJ
edu-4309	318	7	journal	journal	NOUN
edu-4309	318	8	of	of	ADP
edu-4309	318	9	education	education	NOUN
edu-4309	318	10	and	and	CCONJ
edu-4309	318	11	training	training	NOUN
edu-4309	318	12	,	,	PUNCT
edu-4309	318	13	2022	2022	NUM
edu-4309	318	14	,	,	PUNCT
edu-4309	318	15	8(4	8(4	NUM
edu-4309	318	16	):	):	PUNCT
edu-4309	318	17	121	121	NUM
edu-4309	318	18	-	-	SYM
edu-4309	318	19	130	130	NUM
edu-4309	318	20	129	129	NUM
edu-4309	318	21	©	©	PROPN
edu-4309	318	22	2022	2022	NUM
edu-4309	318	23	by	by	ADP
edu-4309	318	24	the	the	DET
edu-4309	318	25	authors	author	NOUN
edu-4309	318	26	;	;	PUNCT
edu-4309	318	27	licensee	licensee	PROPN
edu-4309	318	28	asian	asian	ADJ
edu-4309	318	29	online	online	PROPN
edu-4309	318	30	journal	journal	PROPN
edu-4309	318	31	publishing	publishing	NOUN
edu-4309	318	32	group	group	NOUN
edu-4309	318	33	translation	translation	NOUN
edu-4309	318	34	errors	error	NOUN
edu-4309	318	35	are	be	AUX
edu-4309	318	36	often	often	ADV
edu-4309	318	37	related	relate	VERB
edu-4309	318	38	to	to	PART
edu-4309	318	39	attribute	attribute	VERB
edu-4309	318	40	density	density	NOUN
edu-4309	318	41	,	,	PUNCT
edu-4309	318	42	“	"	PUNCT
edu-4309	318	43	the	the	DET
edu-4309	318	44	amount	amount	NOUN
edu-4309	318	45	of	of	ADP
edu-4309	318	46	information	information	NOUN
edu-4309	318	47	inherently	inherently	ADV
edu-4309	318	48	encoded	encode	VERB
edu-4309	318	49	in	in	ADP
edu-4309	318	50	a	a	DET
edu-4309	318	51	given	give	VERB
edu-4309	318	52	representation	representation	NOUN
edu-4309	318	53	”	"	PUNCT
edu-4309	318	54	.	.	PUNCT
edu-4309	319	1	van	van	PROPN
edu-4309	319	2	den	den	PROPN
edu-4309	319	3	eynde	eynde	NOUN
edu-4309	319	4	,	,	PUNCT
edu-4309	319	5	van	van	PROPN
edu-4309	319	6	kampen	kampen	PROPN
edu-4309	319	7	,	,	PUNCT
edu-4309	319	8	van	van	PROPN
edu-4309	319	9	dooren	dooren	PROPN
edu-4309	319	10	,	,	PUNCT
edu-4309	319	11	and	and	CCONJ
edu-4309	319	12	de	de	ADP
edu-4309	319	13	cock	cock	NOUN
edu-4309	319	14	(	(	PUNCT
edu-4309	319	15	2019	2019	NUM
edu-4309	319	16	)	)	PUNCT
edu-4309	319	17	reported	report	VERB
edu-4309	319	18	the	the	DET
edu-4309	319	19	influence	influence	NOUN
edu-4309	319	20	of	of	ADP
edu-4309	319	21	context	context	NOUN
edu-4309	319	22	,	,	PUNCT
edu-4309	319	23	direction	direction	NOUN
edu-4309	319	24	of	of	ADP
edu-4309	319	25	translation	translation	NOUN
edu-4309	319	26	,	,	PUNCT
edu-4309	319	27	and	and	CCONJ
edu-4309	319	28	function	function	NOUN
edu-4309	319	29	type	type	NOUN
edu-4309	319	30	on	on	ADP
edu-4309	319	31	undergraduate	undergraduate	ADJ
edu-4309	319	32	students	student	NOUN
edu-4309	319	33	’	'	PUNCT
edu-4309	319	34	ability	ability	NOUN
edu-4309	319	35	to	to	PART
edu-4309	319	36	translate	translate	VERB
edu-4309	319	37	between	between	ADP
edu-4309	319	38	graphical	graphical	ADJ
edu-4309	319	39	and	and	CCONJ
edu-4309	319	40	symbolic	symbolic	ADJ
edu-4309	319	41	representations	representation	NOUN
edu-4309	319	42	of	of	ADP
edu-4309	319	43	mathematical	mathematical	ADJ
edu-4309	319	44	relations	relation	NOUN
edu-4309	319	45	.	.	PUNCT
edu-4309	320	1	the	the	DET
edu-4309	320	2	authors	author	NOUN
edu-4309	320	3	found	find	VERB
edu-4309	320	4	that	that	SCONJ
edu-4309	320	5	items	item	NOUN
edu-4309	320	6	starting	start	VERB
edu-4309	320	7	from	from	ADP
edu-4309	320	8	a	a	DET
edu-4309	320	9	graph	graph	NOUN
edu-4309	320	10	are	be	AUX
edu-4309	320	11	solved	solve	VERB
edu-4309	320	12	better	well	ADV
edu-4309	320	13	than	than	ADP
edu-4309	320	14	those	those	PRON
edu-4309	320	15	starting	start	VERB
edu-4309	320	16	from	from	ADP
edu-4309	320	17	an	an	DET
edu-4309	320	18	equation	equation	NOUN
edu-4309	320	19	.	.	PUNCT
edu-4309	321	1	to	to	PART
edu-4309	321	2	identify	identify	VERB
edu-4309	321	3	which	which	DET
edu-4309	321	4	source	source	NOUN
edu-4309	321	5	of	of	ADP
edu-4309	321	6	representation	representation	NOUN
edu-4309	321	7	contributes	contribute	VERB
edu-4309	321	8	considerable	considerable	ADJ
edu-4309	321	9	translation	translation	NOUN
edu-4309	321	10	errors	error	NOUN
edu-4309	321	11	across	across	ADP
edu-4309	321	12	groups	group	NOUN
edu-4309	321	13	,	,	PUNCT
edu-4309	321	14	a	a	DET
edu-4309	321	15	further	further	ADJ
edu-4309	321	16	analysis	analysis	NOUN
edu-4309	321	17	was	be	AUX
edu-4309	321	18	done	do	VERB
edu-4309	321	19	on	on	ADP
edu-4309	321	20	each	each	DET
edu-4309	321	21	source	source	NOUN
edu-4309	321	22	representation	representation	NOUN
edu-4309	321	23	.	.	PUNCT
edu-4309	322	1	the	the	DET
edu-4309	322	2	analysis	analysis	NOUN
edu-4309	322	3	results	result	NOUN
edu-4309	322	4	obtained	obtain	VERB
edu-4309	322	5	in	in	ADP
edu-4309	322	6	this	this	DET
edu-4309	322	7	study	study	NOUN
edu-4309	322	8	revealed	reveal	VERB
edu-4309	322	9	that	that	SCONJ
edu-4309	322	10	the	the	DET
edu-4309	322	11	translation	translation	NOUN
edu-4309	322	12	error	error	NOUN
edu-4309	322	13	types	type	NOUN
edu-4309	322	14	committed	commit	VERB
edu-4309	322	15	across	across	ADP
edu-4309	322	16	groups	group	NOUN
edu-4309	322	17	vary	vary	VERB
edu-4309	322	18	among	among	ADP
edu-4309	322	19	the	the	DET
edu-4309	322	20	source	source	NOUN
edu-4309	322	21	representation	representation	NOUN
edu-4309	322	22	types	type	NOUN
edu-4309	322	23	.	.	PUNCT
edu-4309	323	1	based	base	VERB
edu-4309	323	2	on	on	ADP
edu-4309	323	3	the	the	DET
edu-4309	323	4	result	result	NOUN
edu-4309	323	5	,	,	PUNCT
edu-4309	323	6	when	when	SCONJ
edu-4309	323	7	the	the	DET
edu-4309	323	8	source	source	NOUN
edu-4309	323	9	representation	representation	NOUN
edu-4309	323	10	is	be	AUX
edu-4309	323	11	algebraic	algebraic	ADJ
edu-4309	323	12	,	,	PUNCT
edu-4309	323	13	the	the	DET
edu-4309	323	14	mrt	mrt	PROPN
edu-4309	323	15	committed	commit	VERB
edu-4309	323	16	more	more	ADJ
edu-4309	323	17	of	of	ADP
edu-4309	323	18	implementation	implementation	NOUN
edu-4309	323	19	error	error	NOUN
edu-4309	323	20	(	(	PUNCT
edu-4309	323	21	30.2	30.2	NUM
edu-4309	323	22	%	%	NOUN
edu-4309	323	23	)	)	PUNCT
edu-4309	323	24	,	,	PUNCT
edu-4309	323	25	but	but	CCONJ
edu-4309	323	26	the	the	DET
edu-4309	323	27	mr	mr	PROPN
edu-4309	323	28	and	and	CCONJ
edu-4309	323	29	cg	cg	NOUN
edu-4309	323	30	committed	commit	VERB
edu-4309	323	31	interpretation	interpretation	NOUN
edu-4309	323	32	error	error	NOUN
edu-4309	323	33	(	(	PUNCT
edu-4309	323	34	21.1	21.1	NUM
edu-4309	323	35	%	%	NOUN
edu-4309	323	36	)	)	PUNCT
edu-4309	323	37	and	and	CCONJ
edu-4309	323	38	(	(	PUNCT
edu-4309	323	39	31.5	31.5	NUM
edu-4309	323	40	%	%	NOUN
edu-4309	323	41	)	)	PUNCT
edu-4309	323	42	,	,	PUNCT
edu-4309	323	43	respectively	respectively	ADV
edu-4309	323	44	.	.	PUNCT
edu-4309	324	1	when	when	SCONJ
edu-4309	324	2	the	the	DET
edu-4309	324	3	source	source	NOUN
edu-4309	324	4	representation	representation	NOUN
edu-4309	324	5	is	be	AUX
edu-4309	324	6	graphical	graphical	ADJ
edu-4309	324	7	,	,	PUNCT
edu-4309	324	8	preservation	preservation	NOUN
edu-4309	324	9	was	be	AUX
edu-4309	324	10	frequently	frequently	ADV
edu-4309	324	11	committed	commit	VERB
edu-4309	324	12	(	(	PUNCT
edu-4309	324	13	43.4	43.4	NUM
edu-4309	324	14	%	%	NOUN
edu-4309	324	15	)	)	PUNCT
edu-4309	324	16	in	in	ADP
edu-4309	324	17	the	the	DET
edu-4309	324	18	mrt	mrt	PROPN
edu-4309	324	19	.	.	PUNCT
edu-4309	325	1	however	however	ADV
edu-4309	325	2	,	,	PUNCT
edu-4309	325	3	the	the	DET
edu-4309	325	4	mr	mr	PROPN
edu-4309	325	5	and	and	CCONJ
edu-4309	325	6	cg	cg	NOUN
edu-4309	325	7	committed	committed	ADJ
edu-4309	325	8	implementation	implementation	NOUN
edu-4309	325	9	error	error	NOUN
edu-4309	325	10	(	(	PUNCT
edu-4309	325	11	17.5	17.5	NUM
edu-4309	325	12	%	%	NOUN
edu-4309	325	13	)	)	PUNCT
edu-4309	325	14	and	and	CCONJ
edu-4309	325	15	(	(	PUNCT
edu-4309	325	16	20.4	20.4	NUM
edu-4309	325	17	%	%	NOUN
edu-4309	325	18	)	)	PUNCT
edu-4309	325	19	,	,	PUNCT
edu-4309	325	20	respectively	respectively	ADV
edu-4309	325	21	.	.	PUNCT
edu-4309	326	1	when	when	SCONJ
edu-4309	326	2	the	the	DET
edu-4309	326	3	source	source	NOUN
edu-4309	326	4	representation	representation	NOUN
edu-4309	326	5	was	be	AUX
edu-4309	326	6	verbal	verbal	ADJ
edu-4309	326	7	,	,	PUNCT
edu-4309	326	8	the	the	DET
edu-4309	326	9	most	most	ADV
edu-4309	326	10	frequently	frequently	ADV
edu-4309	326	11	committed	commit	VERB
edu-4309	326	12	translation	translation	NOUN
edu-4309	326	13	error	error	NOUN
edu-4309	326	14	was	be	AUX
edu-4309	326	15	implementation	implementation	NOUN
edu-4309	326	16	error	error	NOUN
edu-4309	326	17	,	,	PUNCT
edu-4309	326	18	in	in	ADP
edu-4309	326	19	the	the	DET
edu-4309	326	20	mrt	mrt	PROPN
edu-4309	326	21	(	(	PUNCT
edu-4309	326	22	17	17	NUM
edu-4309	326	23	%	%	NOUN
edu-4309	326	24	)	)	PUNCT
edu-4309	326	25	,	,	PUNCT
edu-4309	326	26	in	in	ADP
edu-4309	326	27	mr	mr	PROPN
edu-4309	326	28	(	(	PUNCT
edu-4309	326	29	19.3	19.3	NUM
edu-4309	326	30	%	%	NOUN
edu-4309	326	31	)	)	PUNCT
edu-4309	326	32	and	and	CCONJ
edu-4309	326	33	in	in	ADP
edu-4309	326	34	the	the	DET
edu-4309	326	35	cg	cg	NOUN
edu-4309	326	36	(	(	PUNCT
edu-4309	326	37	33.3	33.3	NUM
edu-4309	326	38	%	%	NOUN
edu-4309	326	39	)	)	PUNCT
edu-4309	326	40	.	.	PUNCT
edu-4309	327	1	likewise	likewise	ADV
edu-4309	327	2	,	,	PUNCT
edu-4309	327	3	when	when	SCONJ
edu-4309	327	4	the	the	DET
edu-4309	327	5	source	source	NOUN
edu-4309	327	6	representation	representation	NOUN
edu-4309	327	7	was	be	AUX
edu-4309	327	8	numerical	numerical	ADJ
edu-4309	327	9	,	,	PUNCT
edu-4309	327	10	the	the	DET
edu-4309	327	11	implementation	implementation	NOUN
edu-4309	327	12	error	error	NOUN
edu-4309	327	13	was	be	AUX
edu-4309	327	14	the	the	DET
edu-4309	327	15	most	most	ADV
edu-4309	327	16	frequently	frequently	ADV
edu-4309	327	17	committed	commit	VERB
edu-4309	327	18	in	in	ADP
edu-4309	327	19	the	the	DET
edu-4309	327	20	mrt	mrt	PROPN
edu-4309	327	21	(	(	PUNCT
edu-4309	327	22	17	17	NUM
edu-4309	327	23	%	%	NOUN
edu-4309	327	24	)	)	PUNCT
edu-4309	327	25	,	,	PUNCT
edu-4309	327	26	in	in	ADP
edu-4309	327	27	the	the	DET
edu-4309	327	28	mr	mr	PROPN
edu-4309	327	29	(	(	PUNCT
edu-4309	327	30	22.8	22.8	NUM
edu-4309	327	31	%	%	NOUN
edu-4309	327	32	)	)	PUNCT
edu-4309	327	33	and	and	CCONJ
edu-4309	327	34	in	in	ADP
edu-4309	327	35	the	the	DET
edu-4309	327	36	cg	cg	NOUN
edu-4309	327	37	(	(	PUNCT
edu-4309	327	38	33.3	33.3	NUM
edu-4309	327	39	%	%	NOUN
edu-4309	327	40	)	)	PUNCT
edu-4309	327	41	.	.	PUNCT
edu-4309	328	1	in	in	ADP
edu-4309	328	2	relation	relation	NOUN
edu-4309	328	3	to	to	ADP
edu-4309	328	4	these	these	DET
edu-4309	328	5	results	result	NOUN
edu-4309	328	6	,	,	PUNCT
edu-4309	328	7	adu	adu	ADJ
edu-4309	328	8	-	-	PUNCT
edu-4309	328	9	gyamfi	gyamfi	PROPN
edu-4309	328	10	et	et	PROPN
edu-4309	328	11	al	al	PROPN
edu-4309	328	12	.	.	PROPN
edu-4309	329	1	(	(	PUNCT
edu-4309	329	2	2012	2012	NUM
edu-4309	329	3	)	)	PUNCT
edu-4309	329	4	idea	idea	NOUN
edu-4309	329	5	explains	explain	VERB
edu-4309	329	6	that	that	SCONJ
edu-4309	329	7	a	a	DET
edu-4309	329	8	translation	translation	NOUN
edu-4309	329	9	will	will	AUX
edu-4309	329	10	be	be	AUX
edu-4309	329	11	successful	successful	ADJ
edu-4309	329	12	if	if	SCONJ
edu-4309	329	13	elements	element	NOUN
edu-4309	329	14	or	or	CCONJ
edu-4309	329	15	constructs	construct	NOUN
edu-4309	329	16	expressed	express	VERB
edu-4309	329	17	in	in	ADP
edu-4309	329	18	the	the	DET
edu-4309	329	19	source	source	NOUN
edu-4309	329	20	representation	representation	NOUN
edu-4309	329	21	are	be	AUX
edu-4309	329	22	successfully	successfully	ADV
edu-4309	329	23	articulated	articulate	VERB
edu-4309	329	24	via	via	ADP
edu-4309	329	25	structures	structure	NOUN
edu-4309	329	26	available	available	ADJ
edu-4309	329	27	in	in	ADP
edu-4309	329	28	the	the	DET
edu-4309	329	29	target	target	NOUN
edu-4309	329	30	representation	representation	NOUN
edu-4309	329	31	.	.	PUNCT
edu-4309	330	1	the	the	DET
edu-4309	330	2	goal	goal	NOUN
edu-4309	330	3	of	of	ADP
edu-4309	330	4	translation	translation	NOUN
edu-4309	330	5	is	be	AUX
edu-4309	330	6	to	to	PART
edu-4309	330	7	preserve	preserve	VERB
edu-4309	330	8	semantic	semantic	ADJ
edu-4309	330	9	congruence	congruence	NOUN
edu-4309	330	10	between	between	ADP
edu-4309	330	11	the	the	DET
edu-4309	330	12	source	source	NOUN
edu-4309	330	13	and	and	CCONJ
edu-4309	330	14	target	target	NOUN
edu-4309	330	15	representation	representation	NOUN
edu-4309	330	16	.	.	PUNCT
edu-4309	331	1	these	these	DET
edu-4309	331	2	translation	translation	NOUN
edu-4309	331	3	errors	error	NOUN
edu-4309	331	4	are	be	AUX
edu-4309	331	5	considered	consider	VERB
edu-4309	331	6	as	as	ADP
edu-4309	331	7	a	a	DET
edu-4309	331	8	sign	sign	NOUN
edu-4309	331	9	of	of	ADP
edu-4309	331	10	conceptual	conceptual	ADJ
edu-4309	331	11	comprehension	comprehension	NOUN
edu-4309	331	12	between	between	ADP
edu-4309	331	13	the	the	DET
edu-4309	331	14	source	source	NOUN
edu-4309	331	15	and	and	CCONJ
edu-4309	331	16	target	target	VERB
edu-4309	331	17	representations	representation	NOUN
edu-4309	331	18	(	(	PUNCT
edu-4309	331	19	duval	duval	NOUN
edu-4309	331	20	,	,	PUNCT
edu-4309	331	21	2006	2006	NUM
edu-4309	331	22	)	)	PUNCT
edu-4309	331	23	.	.	PUNCT
edu-4309	332	1	7	7	X
edu-4309	332	2	.	.	X
edu-4309	332	3	conclusion	conclusion	NOUN
edu-4309	332	4	the	the	DET
edu-4309	332	5	geogebra	geogebra	NOUN
edu-4309	332	6	assisted	assist	VERB
edu-4309	332	7	multiple	multiple	ADJ
edu-4309	332	8	representations	representation	NOUN
edu-4309	332	9	approach	approach	NOUN
edu-4309	332	10	was	be	AUX
edu-4309	332	11	more	more	ADV
edu-4309	332	12	supportive	supportive	ADJ
edu-4309	332	13	for	for	ADP
edu-4309	332	14	developing	develop	VERB
edu-4309	332	15	rtf	rtf	NOUN
edu-4309	332	16	in	in	ADP
edu-4309	332	17	solving	solve	VERB
edu-4309	332	18	calculus	calculus	NOUN
edu-4309	332	19	problems	problem	NOUN
edu-4309	332	20	than	than	ADP
edu-4309	332	21	the	the	DET
edu-4309	332	22	multiple	multiple	ADJ
edu-4309	332	23	representations	representation	NOUN
edu-4309	332	24	method	method	NOUN
edu-4309	332	25	of	of	ADP
edu-4309	332	26	instruction	instruction	NOUN
edu-4309	332	27	and	and	CCONJ
edu-4309	332	28	the	the	DET
edu-4309	332	29	conventional	conventional	ADJ
edu-4309	332	30	approach	approach	NOUN
edu-4309	332	31	.	.	PUNCT
edu-4309	333	1	despite	despite	SCONJ
edu-4309	333	2	the	the	DET
edu-4309	333	3	variation	variation	NOUN
edu-4309	333	4	across	across	ADP
edu-4309	333	5	groups	group	NOUN
edu-4309	333	6	depending	depend	VERB
edu-4309	333	7	on	on	ADP
edu-4309	333	8	the	the	DET
edu-4309	333	9	source	source	NOUN
edu-4309	333	10	representation	representation	NOUN
edu-4309	333	11	,	,	PUNCT
edu-4309	333	12	interpretation	interpretation	NOUN
edu-4309	333	13	error	error	NOUN
edu-4309	333	14	was	be	AUX
edu-4309	333	15	the	the	DET
edu-4309	333	16	most	most	ADV
edu-4309	333	17	frequently	frequently	ADV
edu-4309	333	18	committed	commit	VERB
edu-4309	333	19	in	in	ADP
edu-4309	333	20	the	the	DET
edu-4309	333	21	process	process	NOUN
edu-4309	333	22	of	of	ADP
edu-4309	333	23	representation	representation	NOUN
edu-4309	333	24	translation	translation	NOUN
edu-4309	333	25	across	across	ADP
edu-4309	333	26	the	the	DET
edu-4309	333	27	groups	group	NOUN
edu-4309	333	28	.	.	PUNCT
edu-4309	334	1	hence	hence	ADV
edu-4309	334	2	,	,	PUNCT
edu-4309	334	3	each	each	DET
edu-4309	334	4	representation	representation	NOUN
edu-4309	334	5	type	type	NOUN
edu-4309	334	6	has	have	VERB
edu-4309	334	7	its	its	PRON
edu-4309	334	8	own	own	ADJ
edu-4309	334	9	usage	usage	NOUN
edu-4309	334	10	for	for	ADP
edu-4309	334	11	solving	solve	VERB
edu-4309	334	12	a	a	DET
edu-4309	334	13	particular	particular	ADJ
edu-4309	334	14	problem	problem	NOUN
edu-4309	334	15	,	,	PUNCT
edu-4309	334	16	and	and	CCONJ
edu-4309	334	17	the	the	DET
edu-4309	334	18	source	source	NOUN
edu-4309	334	19	representation	representation	NOUN
edu-4309	334	20	contributes	contribute	VERB
edu-4309	334	21	to	to	ADP
edu-4309	334	22	the	the	DET
edu-4309	334	23	amount	amount	NOUN
edu-4309	334	24	of	of	ADP
edu-4309	334	25	committing	commit	VERB
edu-4309	334	26	translation	translation	NOUN
edu-4309	334	27	errors	error	NOUN
edu-4309	334	28	.	.	PUNCT
edu-4309	335	1	8	8	X
edu-4309	335	2	.	.	PUNCT
edu-4309	335	3	recommendations	recommendation	NOUN
edu-4309	335	4	hence	hence	ADV
edu-4309	335	5	,	,	PUNCT
edu-4309	335	6	the	the	DET
edu-4309	335	7	following	follow	VERB
edu-4309	335	8	bits	bit	NOUN
edu-4309	335	9	of	of	ADP
edu-4309	335	10	recommendation	recommendation	NOUN
edu-4309	335	11	were	be	AUX
edu-4309	335	12	forwarded	forward	VERB
edu-4309	335	13	.	.	PUNCT
edu-4309	336	1	•	•	NUM
edu-4309	336	2	mathematics	mathematic	NOUN
edu-4309	336	3	instructors	instructor	NOUN
edu-4309	336	4	must	must	AUX
edu-4309	336	5	emphasize	emphasize	VERB
edu-4309	336	6	multiple	multiple	ADJ
edu-4309	336	7	representations	representation	NOUN
edu-4309	336	8	in	in	ADP
edu-4309	336	9	calculus	calculus	NOUN
edu-4309	336	10	classroom	classroom	NOUN
edu-4309	336	11	beyond	beyond	ADP
edu-4309	336	12	the	the	DET
edu-4309	336	13	algebraic	algebraic	ADJ
edu-4309	336	14	representation	representation	NOUN
edu-4309	336	15	alone	alone	ADV
edu-4309	336	16	.	.	PUNCT
edu-4309	337	1	•	•	PRON
edu-4309	337	2	academic	academic	ADJ
edu-4309	337	3	officials	official	NOUN
edu-4309	337	4	,	,	PUNCT
edu-4309	337	5	course	course	NOUN
edu-4309	337	6	instructors	instructor	NOUN
edu-4309	337	7	and	and	CCONJ
edu-4309	337	8	students	student	NOUN
edu-4309	337	9	have	have	VERB
edu-4309	337	10	to	to	PART
edu-4309	337	11	integrate	integrate	VERB
edu-4309	337	12	geogebra	geogebra	NOUN
edu-4309	337	13	into	into	ADP
edu-4309	337	14	their	their	PRON
edu-4309	337	15	calculus	calculus	NOUN
edu-4309	337	16	classroom	classroom	NOUN
edu-4309	337	17	instruction	instruction	NOUN
edu-4309	337	18	to	to	PART
edu-4309	337	19	implement	implement	VERB
edu-4309	337	20	the	the	DET
edu-4309	337	21	full	full	ADJ
edu-4309	337	22	“	"	PUNCT
edu-4309	337	23	package	package	NOUN
edu-4309	337	24	”	"	PUNCT
edu-4309	337	25	of	of	ADP
edu-4309	337	26	multiple	multiple	ADJ
edu-4309	337	27	representations	representation	NOUN
edu-4309	337	28	to	to	PART
edu-4309	337	29	develop	develop	VERB
edu-4309	337	30	cohesive	cohesive	ADJ
edu-4309	337	31	conceptual	conceptual	ADJ
edu-4309	337	32	understanding	understanding	NOUN
edu-4309	337	33	.	.	PUNCT
edu-4309	338	1	•	•	NUM
edu-4309	338	2	instructors	instructor	NOUN
edu-4309	338	3	and	and	CCONJ
edu-4309	338	4	students	student	NOUN
edu-4309	338	5	must	must	AUX
edu-4309	338	6	use	use	VERB
edu-4309	338	7	geogebra	geogebra	NOUN
edu-4309	338	8	to	to	PART
edu-4309	338	9	increase	increase	VERB
edu-4309	338	10	the	the	DET
edu-4309	338	11	quality	quality	NOUN
edu-4309	338	12	and	and	CCONJ
edu-4309	338	13	quantity	quantity	NOUN
edu-4309	338	14	of	of	ADP
edu-4309	338	15	multiple	multiple	ADJ
edu-4309	338	16	representations	representation	NOUN
edu-4309	338	17	in	in	ADP
edu-4309	338	18	calculus	calculus	NOUN
edu-4309	338	19	learning	learning	NOUN
edu-4309	338	20	.	.	PUNCT
edu-4309	339	1	•	•	NUM
edu-4309	339	2	further	further	ADJ
edu-4309	339	3	research	research	NOUN
edu-4309	339	4	needs	need	VERB
edu-4309	339	5	to	to	PART
edu-4309	339	6	be	be	AUX
edu-4309	339	7	conducted	conduct	VERB
edu-4309	339	8	to	to	PART
edu-4309	339	9	determine	determine	VERB
edu-4309	339	10	the	the	DET
edu-4309	339	11	effectiveness	effectiveness	NOUN
edu-4309	339	12	of	of	ADP
edu-4309	339	13	geogebra	geogebra	NOUN
edu-4309	339	14	supported	support	VERB
edu-4309	339	15	multiple	multiple	ADJ
edu-4309	339	16	representations	representation	NOUN
edu-4309	339	17	in	in	ADP
edu-4309	339	18	learning	learn	VERB
edu-4309	339	19	calculus	calculus	NOUN
edu-4309	339	20	.	.	PUNCT
edu-4309	340	1	•	•	NUM
edu-4309	340	2	a	a	DET
edu-4309	340	3	further	further	ADJ
edu-4309	340	4	research	research	NOUN
edu-4309	340	5	needs	need	VERB
edu-4309	340	6	to	to	PART
edu-4309	340	7	be	be	AUX
edu-4309	340	8	conducted	conduct	VERB
edu-4309	340	9	to	to	PART
edu-4309	340	10	identify	identify	VERB
edu-4309	340	11	the	the	DET
edu-4309	340	12	association	association	NOUN
edu-4309	340	13	between	between	ADP
edu-4309	340	14	the	the	DET
edu-4309	340	15	students	student	NOUN
edu-4309	340	16	’	’	PART
edu-4309	340	17	representation	representation	NOUN
edu-4309	340	18	translation	translation	NOUN
edu-4309	340	19	fluency	fluency	NOUN
edu-4309	340	20	and	and	CCONJ
edu-4309	340	21	problem	problem	NOUN
edu-4309	340	22	solving	solve	VERB
edu-4309	340	23	skill	skill	NOUN
edu-4309	340	24	in	in	ADP
edu-4309	340	25	calculus	calculus	NOUN
edu-4309	340	26	learning	learning	NOUN
edu-4309	340	27	.	.	PUNCT
edu-4309	341	1	•	•	NUM
edu-4309	341	2	a	a	DET
edu-4309	341	3	further	further	ADJ
edu-4309	341	4	research	research	NOUN
edu-4309	341	5	is	be	AUX
edu-4309	341	6	required	require	VERB
edu-4309	341	7	to	to	PART
edu-4309	341	8	determine	determine	VERB
edu-4309	341	9	the	the	DET
edu-4309	341	10	interacting	interact	VERB
edu-4309	341	11	factors	factor	NOUN
edu-4309	341	12	that	that	PRON
edu-4309	341	13	can	can	AUX
edu-4309	341	14	influence	influence	VERB
edu-4309	341	15	students	student	NOUN
edu-4309	341	16	’	'	PUNCT
edu-4309	341	17	representation	representation	NOUN
edu-4309	341	18	preference	preference	NOUN
edu-4309	341	19	in	in	ADP
edu-4309	341	20	solving	solve	VERB
edu-4309	341	21	a	a	DET
edu-4309	341	22	calculus	calculus	NOUN
edu-4309	341	23	problem	problem	NOUN
edu-4309	341	24	.	.	PUNCT
edu-4309	342	1	references	reference	NOUN
edu-4309	342	2	adu	adu	ADJ
edu-4309	342	3	-	-	PUNCT
edu-4309	342	4	gyamfi	gyamfi	PROPN
edu-4309	342	5	,	,	PUNCT
edu-4309	342	6	k.	k.	PROPN
edu-4309	342	7	,	,	PUNCT
edu-4309	342	8	stiff	stiff	ADJ
edu-4309	342	9	,	,	PUNCT
edu-4309	342	10	l.	l.	PROPN
edu-4309	342	11	v.	v.	PROPN
edu-4309	342	12	,	,	PUNCT
edu-4309	342	13	&	&	CCONJ
edu-4309	342	14	bossé	bossé	NOUN
edu-4309	342	15	,	,	PUNCT
edu-4309	342	16	m.	m.	NOUN
edu-4309	342	17	j.	j.	PROPN
edu-4309	342	18	(	(	PUNCT
edu-4309	342	19	2012	2012	NUM
edu-4309	342	20	)	)	PUNCT
edu-4309	342	21	.	.	PUNCT
edu-4309	343	1	lost	lose	VERB
edu-4309	343	2	in	in	ADP
edu-4309	343	3	translation	translation	NOUN
edu-4309	343	4	:	:	PUNCT
edu-4309	343	5	examining	examine	VERB
edu-4309	343	6	translation	translation	NOUN
edu-4309	343	7	errors	error	NOUN
edu-4309	343	8	associated	associate	VERB
edu-4309	343	9	with	with	ADP
edu-4309	343	10	mathematical	mathematical	ADJ
edu-4309	343	11	representations	representation	NOUN
edu-4309	343	12	.	.	PUNCT
edu-4309	344	1	school	school	NOUN
edu-4309	344	2	science	science	NOUN
edu-4309	344	3	and	and	CCONJ
edu-4309	344	4	mathematics	mathematic	NOUN
edu-4309	344	5	,	,	PUNCT
edu-4309	344	6	112(3	112(3	NUM
edu-4309	344	7	)	)	PUNCT
edu-4309	344	8	,	,	PUNCT
edu-4309	344	9	159	159	NUM
edu-4309	344	10	-	-	SYM
edu-4309	344	11	170	170	NUM
edu-4309	344	12	.	.	PUNCT
edu-4309	345	1	adu	adu	ADJ
edu-4309	345	2	-	-	PUNCT
edu-4309	345	3	gyamfi	gyamfi	PROPN
edu-4309	345	4	,	,	PUNCT
edu-4309	345	5	k.	k.	PROPN
edu-4309	345	6	,	,	PUNCT
edu-4309	345	7	bossé	bossé	NOUN
edu-4309	345	8	,	,	PUNCT
edu-4309	345	9	m.	m.	NOUN
edu-4309	345	10	j.	j.	PROPN
edu-4309	345	11	,	,	PUNCT
edu-4309	345	12	&	&	CCONJ
edu-4309	345	13	chandler	chandler	PROPN
edu-4309	345	14	,	,	PUNCT
edu-4309	345	15	k.	k.	PROPN
edu-4309	345	16	(	(	PUNCT
edu-4309	345	17	2017	2017	NUM
edu-4309	345	18	)	)	PUNCT
edu-4309	345	19	.	.	PUNCT
edu-4309	346	1	student	student	NOUN
edu-4309	346	2	connections	connection	NOUN
edu-4309	346	3	between	between	ADP
edu-4309	346	4	algebraic	algebraic	ADJ
edu-4309	346	5	and	and	CCONJ
edu-4309	346	6	graphical	graphical	ADJ
edu-4309	346	7	polynomial	polynomial	ADJ
edu-4309	346	8	representations	representation	NOUN
edu-4309	346	9	in	in	ADP
edu-4309	346	10	the	the	DET
edu-4309	346	11	context	context	NOUN
edu-4309	346	12	of	of	ADP
edu-4309	346	13	a	a	DET
edu-4309	346	14	polynomial	polynomial	ADJ
edu-4309	346	15	relation	relation	NOUN
edu-4309	346	16	.	.	PUNCT
edu-4309	347	1	international	international	ADJ
edu-4309	347	2	journal	journal	PROPN
edu-4309	347	3	of	of	ADP
edu-4309	347	4	science	science	NOUN
edu-4309	347	5	and	and	CCONJ
edu-4309	347	6	mathematics	mathematic	NOUN
edu-4309	347	7	education	education	NOUN
edu-4309	347	8	,	,	PUNCT
edu-4309	347	9	15(5	15(5	NUM
edu-4309	347	10	)	)	PUNCT
edu-4309	347	11	,	,	PUNCT
edu-4309	347	12	915	915	NUM
edu-4309	347	13	-	-	SYM
edu-4309	347	14	938	938	NUM
edu-4309	347	15	.	.	PUNCT
edu-4309	348	1	adu‐gyamfi	adu‐gyamfi	ADP
edu-4309	348	2	,	,	PUNCT
edu-4309	348	3	k.	k.	PROPN
edu-4309	348	4	,	,	PUNCT
edu-4309	348	5	stiff	stiff	ADJ
edu-4309	348	6	,	,	PUNCT
edu-4309	348	7	l.	l.	PROPN
edu-4309	348	8	v.	v.	PROPN
edu-4309	348	9	,	,	PUNCT
edu-4309	348	10	&	&	CCONJ
edu-4309	348	11	bossé	bossé	NOUN
edu-4309	348	12	,	,	PUNCT
edu-4309	348	13	m.	m.	NOUN
edu-4309	348	14	j.	j.	PROPN
edu-4309	348	15	(	(	PUNCT
edu-4309	348	16	2012	2012	NUM
edu-4309	348	17	)	)	PUNCT
edu-4309	348	18	.	.	PUNCT
edu-4309	349	1	lost	lose	VERB
edu-4309	349	2	in	in	ADP
edu-4309	349	3	translation	translation	NOUN
edu-4309	349	4	:	:	PUNCT
edu-4309	349	5	examining	examine	VERB
edu-4309	349	6	translation	translation	NOUN
edu-4309	349	7	errors	error	NOUN
edu-4309	349	8	associated	associate	VERB
edu-4309	349	9	with	with	ADP
edu-4309	349	10	mathematical	mathematical	ADJ
edu-4309	349	11	representations	representation	NOUN
edu-4309	349	12	.	.	PUNCT
edu-4309	350	1	school	school	NOUN
edu-4309	350	2	science	science	NOUN
edu-4309	350	3	and	and	CCONJ
edu-4309	350	4	mathematics	mathematic	NOUN
edu-4309	350	5	,	,	PUNCT
edu-4309	350	6	112(3	112(3	NUM
edu-4309	350	7	)	)	PUNCT
edu-4309	350	8	,	,	PUNCT
edu-4309	350	9	159	159	NUM
edu-4309	350	10	-	-	SYM
edu-4309	350	11	170	170	NUM
edu-4309	350	12	.	.	PUNCT
edu-4309	351	1	afriyani	afriyani	PROPN
edu-4309	351	2	,	,	PUNCT
edu-4309	351	3	d.	d.	PROPN
edu-4309	351	4	,	,	PUNCT
edu-4309	351	5	sa'dijah	sa'dijah	PROPN
edu-4309	351	6	,	,	PUNCT
edu-4309	351	7	c.	c.	PROPN
edu-4309	351	8	,	,	PUNCT
edu-4309	351	9	&	&	CCONJ
edu-4309	351	10	muksar	muksar	PROPN
edu-4309	351	11	,	,	PUNCT
edu-4309	351	12	m.	m.	NOUN
edu-4309	351	13	(	(	PUNCT
edu-4309	351	14	2018	2018	NUM
edu-4309	351	15	)	)	PUNCT
edu-4309	351	16	.	.	PUNCT
edu-4309	352	1	characteristics	characteristic	NOUN
edu-4309	352	2	of	of	ADP
edu-4309	352	3	students	student	NOUN
edu-4309	352	4	’	'	PUNCT
edu-4309	352	5	mathematical	mathematical	ADJ
edu-4309	352	6	understanding	understanding	NOUN
edu-4309	352	7	in	in	ADP
edu-4309	352	8	solving	solve	VERB
edu-4309	352	9	multiple	multiple	ADJ
edu-4309	352	10	representation	representation	NOUN
edu-4309	352	11	task	task	NOUN
edu-4309	352	12	based	base	VERB
edu-4309	352	13	on	on	ADP
edu-4309	352	14	solo	solo	ADJ
edu-4309	352	15	taxonomy	taxonomy	NOUN
edu-4309	352	16	.	.	PUNCT
edu-4309	353	1	international	international	ADJ
edu-4309	353	2	electronic	electronic	ADJ
edu-4309	353	3	journal	journal	NOUN
edu-4309	353	4	of	of	ADP
edu-4309	353	5	mathematics	mathematics	PROPN
edu-4309	353	6	education	education	NOUN
edu-4309	353	7	,	,	PUNCT
edu-4309	353	8	13(3	13(3	NUM
edu-4309	353	9	)	)	PUNCT
edu-4309	353	10	,	,	PUNCT
edu-4309	353	11	281	281	NUM
edu-4309	353	12	-	-	SYM
edu-4309	353	13	287	287	NUM
edu-4309	353	14	.	.	PUNCT
edu-4309	354	1	ainsworth	ainsworth	PROPN
edu-4309	354	2	,	,	PUNCT
edu-4309	354	3	s.	s.	PROPN
edu-4309	354	4	(	(	PUNCT
edu-4309	354	5	2006	2006	NUM
edu-4309	354	6	)	)	PUNCT
edu-4309	354	7	.	.	PUNCT
edu-4309	355	1	deft	deft	ADJ
edu-4309	355	2	:	:	PUNCT
edu-4309	355	3	a	a	DET
edu-4309	355	4	conceptual	conceptual	ADJ
edu-4309	355	5	framework	framework	NOUN
edu-4309	355	6	for	for	ADP
edu-4309	355	7	considering	consider	VERB
edu-4309	355	8	learning	learn	VERB
edu-4309	355	9	with	with	ADP
edu-4309	355	10	multiple	multiple	ADJ
edu-4309	355	11	representations	representation	NOUN
edu-4309	355	12	.	.	PUNCT
edu-4309	356	1	learning	learning	NOUN
edu-4309	356	2	and	and	CCONJ
edu-4309	356	3	instruction	instruction	NOUN
edu-4309	356	4	,	,	PUNCT
edu-4309	356	5	16(3	16(3	NOUN
edu-4309	356	6	)	)	PUNCT
edu-4309	356	7	,	,	PUNCT
edu-4309	356	8	183	183	NUM
edu-4309	356	9	-	-	SYM
edu-4309	356	10	198	198	NUM
edu-4309	356	11	.	.	PUNCT
edu-4309	357	1	arifah	arifah	PROPN
edu-4309	357	2	,	,	PUNCT
edu-4309	357	3	a.	a.	NOUN
edu-4309	357	4	(	(	PUNCT
edu-4309	357	5	2020	2020	NUM
edu-4309	357	6	)	)	PUNCT
edu-4309	357	7	.	.	PUNCT
edu-4309	358	1	the	the	DET
edu-4309	358	2	potential	potential	NOUN
edu-4309	358	3	of	of	ADP
edu-4309	358	4	geogebra	geogebra	NOUN
edu-4309	358	5	exploration	exploration	NOUN
edu-4309	358	6	in	in	ADP
edu-4309	358	7	supporting	support	VERB
edu-4309	358	8	multiple	multiple	ADJ
edu-4309	358	9	representation	representation	NOUN
edu-4309	358	10	ability	ability	NOUN
edu-4309	358	11	.	.	PUNCT
edu-4309	359	1	paper	paper	NOUN
edu-4309	359	2	presented	present	VERB
edu-4309	359	3	at	at	ADP
edu-4309	359	4	the	the	DET
edu-4309	359	5	journal	journal	NOUN
edu-4309	359	6	of	of	ADP
edu-4309	359	7	physics	physics	PROPN
edu-4309	359	8	:	:	PUNCT
edu-4309	359	9	conference	conference	NOUN
edu-4309	359	10	series	series	NOUN
edu-4309	359	11	.	.	PUNCT
edu-4309	360	1	bayazit	bayazit	PROPN
edu-4309	360	2	,	,	PUNCT
edu-4309	360	3	i̇.	i̇.	PROPN
edu-4309	360	4	,	,	PUNCT
edu-4309	360	5	&	&	CCONJ
edu-4309	360	6	aksoy	aksoy	PROPN
edu-4309	360	7	,	,	PUNCT
edu-4309	360	8	y.	y.	PROPN
edu-4309	360	9	(	(	PUNCT
edu-4309	360	10	2010	2010	NUM
edu-4309	360	11	)	)	PUNCT
edu-4309	360	12	.	.	PUNCT
edu-4309	361	1	connecting	connect	VERB
edu-4309	361	2	representations	representation	NOUN
edu-4309	361	3	and	and	CCONJ
edu-4309	361	4	mathematical	mathematical	ADJ
edu-4309	361	5	ideas	idea	NOUN
edu-4309	361	6	with	with	ADP
edu-4309	361	7	geogebra	geogebra	NOUN
edu-4309	361	8	.	.	PUNCT
edu-4309	362	1	geogebra	geogebra	NOUN
edu-4309	362	2	:	:	PUNCT
edu-4309	362	3	the	the	DET
edu-4309	362	4	new	new	ADJ
edu-4309	362	5	language	language	NOUN
edu-4309	362	6	for	for	ADP
edu-4309	362	7	the	the	DET
edu-4309	362	8	third	third	ADJ
edu-4309	362	9	millennium	millennium	NOUN
edu-4309	362	10	,	,	PUNCT
edu-4309	362	11	1(1	1(1	NUM
edu-4309	362	12	)	)	PUNCT
edu-4309	362	13	,	,	PUNCT
edu-4309	362	14	93	93	NUM
edu-4309	362	15	-	-	SYM
edu-4309	362	16	106	106	NUM
edu-4309	362	17	.	.	PUNCT
edu-4309	363	1	bossé	bossé	NOUN
edu-4309	363	2	,	,	PUNCT
edu-4309	363	3	m.	m.	PROPN
edu-4309	363	4	j.	j.	PROPN
edu-4309	363	5	,	,	PUNCT
edu-4309	363	6	adu	adu	ADJ
edu-4309	363	7	-	-	PUNCT
edu-4309	363	8	gyamfi	gyamfi	PROPN
edu-4309	363	9	,	,	PUNCT
edu-4309	363	10	k.	k.	PROPN
edu-4309	363	11	,	,	PUNCT
edu-4309	363	12	&	&	CCONJ
edu-4309	363	13	chandler	chandler	PROPN
edu-4309	363	14	,	,	PUNCT
edu-4309	363	15	k.	k.	PROPN
edu-4309	363	16	(	(	PUNCT
edu-4309	363	17	2014	2014	NUM
edu-4309	363	18	)	)	PUNCT
edu-4309	363	19	.	.	PUNCT
edu-4309	364	1	students	student	NOUN
edu-4309	364	2	’	'	PUNCT
edu-4309	364	3	differentiated	differentiated	ADJ
edu-4309	364	4	translation	translation	NOUN
edu-4309	364	5	processes	process	NOUN
edu-4309	364	6	.	.	PUNCT
edu-4309	365	1	international	international	ADJ
edu-4309	365	2	journal	journal	NOUN
edu-4309	365	3	for	for	ADP
edu-4309	365	4	mathematics	mathematics	NOUN
edu-4309	365	5	teaching	teaching	NOUN
edu-4309	365	6	and	and	CCONJ
edu-4309	365	7	learning	learning	NOUN
edu-4309	365	8	,	,	PUNCT
edu-4309	365	9	828	828	NUM
edu-4309	365	10	,	,	PUNCT
edu-4309	365	11	1	1	NUM
edu-4309	365	12	-	-	SYM
edu-4309	365	13	28	28	NUM
edu-4309	365	14	.	.	PUNCT
edu-4309	366	1	bossé	bossé	NOUN
edu-4309	366	2	,	,	PUNCT
edu-4309	366	3	m.	m.	PROPN
edu-4309	366	4	j.	j.	PROPN
edu-4309	366	5	,	,	PUNCT
edu-4309	366	6	adu	adu	ADJ
edu-4309	366	7	-	-	PUNCT
edu-4309	366	8	gyamfi	gyamfi	PROPN
edu-4309	366	9	,	,	PUNCT
edu-4309	366	10	k.	k.	PROPN
edu-4309	366	11	,	,	PUNCT
edu-4309	366	12	&	&	CCONJ
edu-4309	366	13	cheetham	cheetham	PROPN
edu-4309	366	14	,	,	PUNCT
edu-4309	366	15	m.	m.	PROPN
edu-4309	366	16	r.	r.	PROPN
edu-4309	366	17	(	(	PUNCT
edu-4309	366	18	2011	2011	NUM
edu-4309	366	19	)	)	PUNCT
edu-4309	366	20	.	.	PUNCT
edu-4309	367	1	assessing	assess	VERB
edu-4309	367	2	the	the	DET
edu-4309	367	3	difficulty	difficulty	NOUN
edu-4309	367	4	of	of	ADP
edu-4309	367	5	mathematical	mathematical	ADJ
edu-4309	367	6	translations	translation	NOUN
edu-4309	367	7	:	:	PUNCT
edu-4309	367	8	synthesizing	synthesize	VERB
edu-4309	367	9	the	the	DET
edu-4309	367	10	literature	literature	NOUN
edu-4309	367	11	and	and	CCONJ
edu-4309	367	12	novel	novel	ADJ
edu-4309	367	13	findings	finding	NOUN
edu-4309	367	14	.	.	PUNCT
edu-4309	368	1	international	international	ADJ
edu-4309	368	2	electronic	electronic	ADJ
edu-4309	368	3	journal	journal	NOUN
edu-4309	368	4	of	of	ADP
edu-4309	368	5	mathematics	mathematics	PROPN
edu-4309	368	6	education	education	NOUN
edu-4309	368	7	,	,	PUNCT
edu-4309	368	8	6(3	6(3	NUM
edu-4309	368	9	)	)	PUNCT
edu-4309	368	10	,	,	PUNCT
edu-4309	368	11	113-133.available	113-133.available	NUM
edu-4309	368	12	at	at	ADP
edu-4309	368	13	:	:	PUNCT
edu-4309	369	1	https://doi.org/10.29333/iejme/264	https://doi.org/10.29333/iejme/264	PROPN
edu-4309	369	2	.	.	PUNCT
edu-4309	369	3	chang	chang	PROPN
edu-4309	369	4	,	,	PUNCT
edu-4309	369	5	b.	b.	PROPN
edu-4309	369	6	l.	l.	PROPN
edu-4309	369	7	,	,	PUNCT
edu-4309	369	8	cromley	cromley	PROPN
edu-4309	369	9	,	,	PUNCT
edu-4309	369	10	j.	j.	PROPN
edu-4309	369	11	g.	g.	PROPN
edu-4309	369	12	,	,	PUNCT
edu-4309	369	13	&	&	CCONJ
edu-4309	369	14	tran	tran	PROPN
edu-4309	369	15	,	,	PUNCT
edu-4309	369	16	n.	n.	PROPN
edu-4309	369	17	(	(	PUNCT
edu-4309	369	18	2016	2016	NUM
edu-4309	369	19	)	)	PUNCT
edu-4309	369	20	.	.	PUNCT
edu-4309	370	1	coordinating	coordinate	VERB
edu-4309	370	2	multiple	multiple	ADJ
edu-4309	370	3	representations	representation	NOUN
edu-4309	370	4	in	in	ADP
edu-4309	370	5	a	a	DET
edu-4309	370	6	reform	reform	NOUN
edu-4309	370	7	calculus	calculus	NOUN
edu-4309	370	8	textbook	textbook	NOUN
edu-4309	370	9	.	.	PUNCT
edu-4309	371	1	international	international	ADJ
edu-4309	371	2	journal	journal	PROPN
edu-4309	371	3	of	of	ADP
edu-4309	371	4	science	science	NOUN
edu-4309	371	5	and	and	CCONJ
edu-4309	371	6	mathematics	mathematic	NOUN
edu-4309	371	7	education	education	NOUN
edu-4309	371	8	,	,	PUNCT
edu-4309	371	9	14(8	14(8	NUM
edu-4309	371	10	)	)	PUNCT
edu-4309	371	11	,	,	PUNCT
edu-4309	371	12	1475	1475	NUM
edu-4309	371	13	-	-	SYM
edu-4309	371	14	1497	1497	NUM
edu-4309	371	15	.	.	PUNCT
edu-4309	372	1	clark	clark	PROPN
edu-4309	372	2	,	,	PUNCT
edu-4309	372	3	j.	j.	PROPN
edu-4309	372	4	m.	m.	PROPN
edu-4309	372	5	,	,	PUNCT
edu-4309	372	6	&	&	CCONJ
edu-4309	372	7	paivio	paivio	PROPN
edu-4309	372	8	,	,	PUNCT
edu-4309	372	9	a.	a.	NOUN
edu-4309	372	10	(	(	PUNCT
edu-4309	372	11	1991	1991	NUM
edu-4309	372	12	)	)	PUNCT
edu-4309	372	13	.	.	PUNCT
edu-4309	373	1	dual	dual	ADJ
edu-4309	373	2	coding	code	VERB
edu-4309	373	3	theory	theory	NOUN
edu-4309	373	4	and	and	CCONJ
edu-4309	373	5	education	education	NOUN
edu-4309	373	6	.	.	PUNCT
edu-4309	374	1	educational	educational	ADJ
edu-4309	374	2	psychology	psychology	NOUN
edu-4309	374	3	review	review	NOUN
edu-4309	374	4	,	,	PUNCT
edu-4309	374	5	3(3	3(3	NUM
edu-4309	374	6	)	)	PUNCT
edu-4309	374	7	,	,	PUNCT
edu-4309	374	8	149	149	NUM
edu-4309	374	9	-	-	SYM
edu-4309	374	10	210	210	NUM
edu-4309	374	11	.	.	PUNCT
edu-4309	375	1	dahal	dahal	NOUN
edu-4309	375	2	,	,	PUNCT
edu-4309	375	3	n.	n.	NOUN
edu-4309	375	4	(	(	PUNCT
edu-4309	375	5	2019	2019	NUM
edu-4309	375	6	)	)	PUNCT
edu-4309	375	7	.	.	PUNCT
edu-4309	376	1	integration	integration	NOUN
edu-4309	376	2	of	of	ADP
edu-4309	376	3	geogebra	geogebra	NOUN
edu-4309	376	4	in	in	ADP
edu-4309	376	5	teaching	teach	VERB
edu-4309	376	6	mathematics	mathematic	NOUN
edu-4309	376	7	:	:	PUNCT
edu-4309	376	8	insights	insight	NOUN
edu-4309	376	9	from	from	ADP
edu-4309	376	10	teaching	teach	VERB
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edu-4309	376	12	.	.	PUNCT
edu-4309	377	1	paper	paper	NOUN
edu-4309	377	2	presented	present	VERB
edu-4309	377	3	at	at	ADP
edu-4309	377	4	the	the	DET
edu-4309	377	5	proceeding	proceeding	NOUN
edu-4309	377	6	of	of	ADP
edu-4309	377	7	seventh	seventh	ADJ
edu-4309	377	8	national	national	ADJ
edu-4309	377	9	conference	conference	NOUN
edu-4309	377	10	on	on	ADP
edu-4309	377	11	mathematics	mathematic	NOUN
edu-4309	377	12	and	and	CCONJ
edu-4309	377	13	its	its	PRON
edu-4309	377	14	applications	application	NOUN
edu-4309	377	15	.	.	PUNCT
edu-4309	378	1	dey	dey	PROPN
edu-4309	378	2	,	,	PUNCT
edu-4309	378	3	p.	p.	NOUN
edu-4309	378	4	p.	p.	NOUN
edu-4309	378	5	(	(	PUNCT
edu-4309	378	6	2019	2019	NUM
edu-4309	378	7	)	)	PUNCT
edu-4309	378	8	.	.	PUNCT
edu-4309	379	1	engaging	engage	VERB
edu-4309	379	2	students	student	NOUN
edu-4309	379	3	with	with	ADP
edu-4309	379	4	multiple	multiple	ADJ
edu-4309	379	5	representations	representation	NOUN
edu-4309	379	6	of	of	ADP
edu-4309	379	7	mathematical	mathematical	ADJ
edu-4309	379	8	models	model	NOUN
edu-4309	379	9	.	.	PUNCT
edu-4309	380	1	paper	paper	NOUN
edu-4309	380	2	presented	present	VERB
edu-4309	380	3	at	at	ADP
edu-4309	380	4	the	the	DET
edu-4309	380	5	2019	2019	NUM
edu-4309	380	6	pacific	pacific	PROPN
edu-4309	380	7	southwest	southwest	PROPN
edu-4309	380	8	section	section	NOUN
edu-4309	380	9	meeting	meeting	NOUN
edu-4309	380	10	.	.	PUNCT
edu-4309	381	1	duval	duval	PROPN
edu-4309	381	2	,	,	PUNCT
edu-4309	381	3	r.	r.	PROPN
edu-4309	381	4	(	(	PUNCT
edu-4309	381	5	2006	2006	NUM
edu-4309	381	6	)	)	PUNCT
edu-4309	381	7	.	.	PUNCT
edu-4309	382	1	a	a	DET
edu-4309	382	2	cognitive	cognitive	ADJ
edu-4309	382	3	analysis	analysis	NOUN
edu-4309	382	4	of	of	ADP
edu-4309	382	5	problems	problem	NOUN
edu-4309	382	6	of	of	ADP
edu-4309	382	7	comprehension	comprehension	NOUN
edu-4309	382	8	in	in	ADP
edu-4309	382	9	a	a	DET
edu-4309	382	10	learning	learning	NOUN
edu-4309	382	11	of	of	ADP
edu-4309	382	12	mathematics	mathematic	NOUN
edu-4309	382	13	.	.	PUNCT
edu-4309	383	1	educational	educational	ADJ
edu-4309	383	2	studies	study	NOUN
edu-4309	383	3	in	in	ADP
edu-4309	383	4	mathematics	mathematic	NOUN
edu-4309	383	5	,	,	PUNCT
edu-4309	383	6	61(1	61(1	NOUN
edu-4309	383	7	)	)	PUNCT
edu-4309	383	8	,	,	PUNCT
edu-4309	383	9	103	103	NUM
edu-4309	383	10	-	-	SYM
edu-4309	383	11	131	131	NUM
edu-4309	383	12	.	.	PUNCT
edu-4309	384	1	asian	asian	ADJ
edu-4309	384	2	journal	journal	PROPN
edu-4309	384	3	of	of	ADP
edu-4309	384	4	education	education	NOUN
edu-4309	384	5	and	and	CCONJ
edu-4309	384	6	training	training	NOUN
edu-4309	384	7	,	,	PUNCT
edu-4309	384	8	2022	2022	NUM
edu-4309	384	9	,	,	PUNCT
edu-4309	384	10	8(4	8(4	NUM
edu-4309	384	11	):	):	PUNCT
edu-4309	384	12	121	121	NUM
edu-4309	384	13	-	-	SYM
edu-4309	384	14	130	130	NUM
edu-4309	384	15	130	130	NUM
edu-4309	384	16	©	©	PROPN
edu-4309	384	17	2022	2022	NUM
edu-4309	384	18	by	by	ADP
edu-4309	384	19	the	the	DET
edu-4309	384	20	authors	author	NOUN
edu-4309	384	21	;	;	PUNCT
edu-4309	384	22	licensee	licensee	PROPN
edu-4309	384	23	asian	asian	ADJ
edu-4309	384	24	online	online	PROPN
edu-4309	384	25	journal	journal	PROPN
edu-4309	384	26	publishing	publishing	NOUN
edu-4309	384	27	group	group	NOUN
edu-4309	384	28	fonger	fonger	NOUN
edu-4309	384	29	,	,	PUNCT
edu-4309	384	30	n.	n.	PROPN
edu-4309	384	31	l.	l.	PROPN
edu-4309	384	32	(	(	PUNCT
edu-4309	384	33	2019	2019	NUM
edu-4309	384	34	)	)	PUNCT
edu-4309	384	35	.	.	PUNCT
edu-4309	385	1	meaningfulness	meaningfulness	PROPN
edu-4309	385	2	in	in	ADP
edu-4309	385	3	representational	representational	ADJ
edu-4309	385	4	fluency	fluency	NOUN
edu-4309	385	5	:	:	PUNCT
edu-4309	385	6	an	an	DET
edu-4309	385	7	analytic	analytic	ADJ
edu-4309	385	8	lens	lens	NOUN
edu-4309	385	9	for	for	ADP
edu-4309	385	10	students	student	NOUN
edu-4309	385	11	’	'	PUNCT
edu-4309	385	12	creations	creation	NOUN
edu-4309	385	13	,	,	PUNCT
edu-4309	385	14	interpretations	interpretation	NOUN
edu-4309	385	15	,	,	PUNCT
edu-4309	385	16	and	and	CCONJ
edu-4309	385	17	connections	connection	NOUN
edu-4309	385	18	.	.	PUNCT
edu-4309	386	1	the	the	DET
edu-4309	386	2	journal	journal	NOUN
edu-4309	386	3	of	of	ADP
edu-4309	386	4	mathematical	mathematical	ADJ
edu-4309	386	5	behavior	behavior	NOUN
edu-4309	386	6	,	,	PUNCT
edu-4309	386	7	54	54	NUM
edu-4309	386	8	,	,	PUNCT
edu-4309	386	9	100678	100678	NUM
edu-4309	386	10	.	.	PUNCT
edu-4309	387	1	fonger	fonger	PROPN
edu-4309	387	2	,	,	PUNCT
edu-4309	387	3	n.	n.	PROPN
edu-4309	387	4	l.	l.	PROPN
edu-4309	387	5	,	,	PUNCT
edu-4309	387	6	davis	davis	PROPN
edu-4309	387	7	,	,	PUNCT
edu-4309	387	8	j.	j.	PROPN
edu-4309	387	9	d.	d.	PROPN
edu-4309	387	10	,	,	PUNCT
edu-4309	387	11	&	&	CCONJ
edu-4309	387	12	rohwer	rohwer	PROPN
edu-4309	387	13	,	,	PUNCT
edu-4309	387	14	m.	m.	NOUN
edu-4309	387	15	l.	l.	PROPN
edu-4309	387	16	(	(	PUNCT
edu-4309	387	17	2018	2018	NUM
edu-4309	387	18	)	)	PUNCT
edu-4309	387	19	.	.	PUNCT
edu-4309	388	1	instructional	instructional	ADJ
edu-4309	388	2	supports	support	NOUN
edu-4309	388	3	for	for	ADP
edu-4309	388	4	representational	representational	ADJ
edu-4309	388	5	fluency	fluency	NOUN
edu-4309	388	6	in	in	ADP
edu-4309	388	7	solving	solve	VERB
edu-4309	388	8	linear	linear	ADJ
edu-4309	388	9	equations	equation	NOUN
edu-4309	388	10	with	with	ADP
edu-4309	388	11	computer	computer	NOUN
edu-4309	388	12	algebra	algebra	NOUN
edu-4309	388	13	systems	system	NOUN
edu-4309	388	14	and	and	CCONJ
edu-4309	388	15	paper	paper	NOUN
edu-4309	388	16	-	-	PUNCT
edu-4309	388	17	and	and	CCONJ
edu-4309	388	18	-	-	PUNCT
edu-4309	388	19	pencil	pencil	NOUN
edu-4309	388	20	.	.	PUNCT
edu-4309	389	1	school	school	NOUN
edu-4309	389	2	science	science	NOUN
edu-4309	389	3	and	and	CCONJ
edu-4309	389	4	mathematics	mathematic	NOUN
edu-4309	389	5	,	,	PUNCT
edu-4309	389	6	118(1	118(1	NUM
edu-4309	389	7	-	-	SYM
edu-4309	389	8	2	2	NUM
edu-4309	389	9	)	)	PUNCT
edu-4309	389	10	,	,	PUNCT
edu-4309	389	11	30	30	NUM
edu-4309	389	12	-	-	SYM
edu-4309	389	13	42	42	NUM
edu-4309	389	14	.	.	PUNCT
edu-4309	390	1	meltzer	meltzer	PROPN
edu-4309	390	2	,	,	PUNCT
edu-4309	390	3	d.	d.	PROPN
edu-4309	390	4	e.	e.	PROPN
edu-4309	390	5	(	(	PUNCT
edu-4309	390	6	2005	2005	NUM
edu-4309	390	7	)	)	PUNCT
edu-4309	390	8	.	.	PUNCT
edu-4309	391	1	relation	relation	NOUN
edu-4309	391	2	between	between	ADP
edu-4309	391	3	students	student	NOUN
edu-4309	391	4	’	’	PART
edu-4309	391	5	problem	problem	NOUN
edu-4309	391	6	-	-	PUNCT
edu-4309	391	7	solving	solve	VERB
edu-4309	391	8	performance	performance	NOUN
edu-4309	391	9	and	and	CCONJ
edu-4309	391	10	representational	representational	ADJ
edu-4309	391	11	format	format	NOUN
edu-4309	391	12	.	.	PUNCT
edu-4309	392	1	american	american	PROPN
edu-4309	392	2	journal	journal	PROPN
edu-4309	392	3	of	of	ADP
edu-4309	392	4	physics	physics	PROPN
edu-4309	392	5	,	,	PUNCT
edu-4309	392	6	73(5	73(5	NUM
edu-4309	392	7	)	)	PUNCT
edu-4309	392	8	,	,	PUNCT
edu-4309	392	9	463	463	NUM
edu-4309	392	10	-	-	SYM
edu-4309	392	11	478	478	NUM
edu-4309	392	12	.	.	PUNCT
edu-4309	393	1	nurrahmawati	nurrahmawati	PROPN
edu-4309	393	2	,	,	PUNCT
edu-4309	393	3	n.	n.	NOUN
edu-4309	393	4	,	,	PUNCT
edu-4309	393	5	sa’dijah	sa’dijah	PROPN
edu-4309	393	6	,	,	PUNCT
edu-4309	393	7	c.	c.	PROPN
edu-4309	393	8	,	,	PUNCT
edu-4309	393	9	sudirman	sudirman	PROPN
edu-4309	393	10	,	,	PUNCT
edu-4309	393	11	s.	s.	PROPN
edu-4309	393	12	,	,	PUNCT
edu-4309	393	13	&	&	CCONJ
edu-4309	393	14	muksa	muksa	ADJ
edu-4309	393	15	,	,	PUNCT
edu-4309	393	16	m.	m.	NOUN
edu-4309	393	17	(	(	PUNCT
edu-4309	393	18	2019	2019	NUM
edu-4309	393	19	)	)	PUNCT
edu-4309	393	20	.	.	PUNCT
edu-4309	394	1	multiple	multiple	ADJ
edu-4309	394	2	representations	representation	NOUN
edu-4309	394	3	’	'	PUNCT
edu-4309	394	4	ability	ability	NOUN
edu-4309	394	5	in	in	ADP
edu-4309	394	6	solving	solve	VERB
edu-4309	394	7	word	word	NOUN
edu-4309	394	8	problem	problem	NOUN
edu-4309	394	9	.	.	PUNCT
edu-4309	395	1	international	international	ADJ
edu-4309	395	2	journal	journal	NOUN
edu-4309	395	3	of	of	ADP
edu-4309	395	4	recent	recent	ADJ
edu-4309	395	5	technology	technology	NOUN
edu-4309	395	6	and	and	CCONJ
edu-4309	395	7	engineering	engineering	NOUN
edu-4309	395	8	,	,	PUNCT
edu-4309	395	9	8(1c2	8(1c2	NUM
edu-4309	395	10	)	)	PUNCT
edu-4309	395	11	,	,	PUNCT
edu-4309	395	12	737	737	NUM
edu-4309	395	13	-	-	SYM
edu-4309	395	14	745	745	NUM
edu-4309	395	15	.	.	PUNCT
edu-4309	396	1	pallant	pallant	PROPN
edu-4309	396	2	,	,	PUNCT
edu-4309	396	3	j.	j.	PROPN
edu-4309	396	4	(	(	PUNCT
edu-4309	396	5	2013	2013	NUM
edu-4309	396	6	)	)	PUNCT
edu-4309	396	7	.	.	PUNCT
edu-4309	397	1	spss	spss	PROPN
edu-4309	397	2	survival	survival	PROPN
edu-4309	397	3	manual	manual	NOUN
edu-4309	397	4	.	.	PUNCT
edu-4309	398	1	uk	uk	PROPN
edu-4309	398	2	:	:	PUNCT
edu-4309	398	3	mcgraw	mcgraw	PROPN
edu-4309	398	4	-	-	PUNCT
edu-4309	398	5	hill	hill	NOUN
edu-4309	398	6	education	education	NOUN
edu-4309	398	7	.	.	PUNCT
edu-4309	399	1	pedersen	pedersen	PROPN
edu-4309	399	2	,	,	PUNCT
edu-4309	399	3	m.	m.	NOUN
edu-4309	399	4	k.	k.	PROPN
edu-4309	399	5	,	,	PUNCT
edu-4309	399	6	bach	bach	PROPN
edu-4309	399	7	,	,	PUNCT
edu-4309	399	8	c.	c.	PROPN
edu-4309	399	9	c.	c.	PROPN
edu-4309	399	10	,	,	PUNCT
edu-4309	399	11	gregersen	gregersen	PROPN
edu-4309	399	12	,	,	PUNCT
edu-4309	399	13	r.	r.	PROPN
edu-4309	399	14	m.	m.	PROPN
edu-4309	399	15	,	,	PUNCT
edu-4309	399	16	højsted	højste	VERB
edu-4309	399	17	,	,	PUNCT
edu-4309	399	18	i.	i.	PROPN
edu-4309	399	19	h.	h.	PROPN
edu-4309	399	20	,	,	PUNCT
edu-4309	399	21	&	&	CCONJ
edu-4309	399	22	jankvist	jankvist	PROPN
edu-4309	399	23	,	,	PUNCT
edu-4309	399	24	u.	u.	PROPN
edu-4309	399	25	t.	t.	PROPN
edu-4309	399	26	(	(	PUNCT
edu-4309	399	27	2021	2021	NUM
edu-4309	399	28	)	)	PUNCT
edu-4309	399	29	.	.	PUNCT
edu-4309	400	1	mathematical	mathematical	ADJ
edu-4309	400	2	representation	representation	NOUN
edu-4309	400	3	competency	competency	NOUN
edu-4309	400	4	in	in	ADP
edu-4309	400	5	relation	relation	NOUN
edu-4309	400	6	to	to	PART
edu-4309	400	7	use	use	VERB
edu-4309	400	8	of	of	ADP
edu-4309	400	9	digital	digital	ADJ
edu-4309	400	10	technology	technology	NOUN
edu-4309	400	11	and	and	CCONJ
edu-4309	400	12	task	task	NOUN
edu-4309	400	13	design	design	NOUN
edu-4309	400	14	—	—	PUNCT
edu-4309	400	15	a	a	DET
edu-4309	400	16	literature	literature	NOUN
edu-4309	400	17	review	review	NOUN
edu-4309	400	18	.	.	PUNCT
edu-4309	401	1	mathematics	mathematic	NOUN
edu-4309	401	2	,	,	PUNCT
edu-4309	401	3	9(4	9(4	NUM
edu-4309	401	4	)	)	PUNCT
edu-4309	401	5	,	,	PUNCT
edu-4309	401	6	444.available	444.available	VERB
edu-4309	401	7	at	at	ADP
edu-4309	401	8	:	:	PUNCT
edu-4309	401	9	https://doi.org/10.3390/math9040444	https://doi.org/10.3390/math9040444	PROPN
edu-4309	401	10	.	.	PUNCT
edu-4309	402	1	rahmawati	rahmawati	PROPN
edu-4309	402	2	,	,	PUNCT
edu-4309	402	3	d.	d.	PROPN
edu-4309	402	4	(	(	PUNCT
edu-4309	402	5	2019	2019	NUM
edu-4309	402	6	)	)	PUNCT
edu-4309	402	7	.	.	PUNCT
edu-4309	403	1	translation	translation	NOUN
edu-4309	403	2	between	between	ADP
edu-4309	403	3	mathematical	mathematical	ADJ
edu-4309	403	4	representation	representation	NOUN
edu-4309	403	5	:	:	PUNCT
edu-4309	403	6	how	how	SCONJ
edu-4309	403	7	students	student	NOUN
edu-4309	403	8	unpack	unpack	VERB
edu-4309	403	9	source	source	NOUN
edu-4309	403	10	representation	representation	NOUN
edu-4309	403	11	?	?	PUNCT
edu-4309	404	1	math	math	NOUN
edu-4309	404	2	and	and	CCONJ
edu-4309	404	3	learning	learning	PROPN
edu-4309	404	4	,	,	PUNCT
edu-4309	404	5	7(1	7(1	NUM
edu-4309	404	6	)	)	PUNCT
edu-4309	404	7	,	,	PUNCT
edu-4309	404	8	50	50	NUM
edu-4309	404	9	-	-	SYM
edu-4309	404	10	64	64	NUM
edu-4309	404	11	.	.	PUNCT
edu-4309	405	1	rahmawati	rahmawati	PROPN
edu-4309	405	2	,	,	PUNCT
edu-4309	405	3	d.	d.	PROPN
edu-4309	405	4	,	,	PUNCT
edu-4309	405	5	hidayanto	hidayanto	PROPN
edu-4309	405	6	,	,	PUNCT
edu-4309	405	7	e.	e.	PROPN
edu-4309	405	8	,	,	PUNCT
edu-4309	405	9	&	&	CCONJ
edu-4309	405	10	anwar	anwar	PROPN
edu-4309	405	11	,	,	PUNCT
edu-4309	405	12	r.	r.	PROPN
edu-4309	405	13	b.	b.	PROPN
edu-4309	405	14	(	(	PUNCT
edu-4309	405	15	2017	2017	NUM
edu-4309	405	16	)	)	PUNCT
edu-4309	405	17	.	.	PUNCT
edu-4309	406	1	process	process	NOUN
edu-4309	406	2	of	of	ADP
edu-4309	406	3	mathematical	mathematical	ADJ
edu-4309	406	4	representation	representation	NOUN
edu-4309	406	5	translation	translation	NOUN
edu-4309	406	6	from	from	ADP
edu-4309	406	7	verbal	verbal	ADJ
edu-4309	406	8	into	into	ADP
edu-4309	406	9	graphic	graphic	ADJ
edu-4309	406	10	.	.	PUNCT
edu-4309	407	1	international	international	ADJ
edu-4309	407	2	electronic	electronic	ADJ
edu-4309	407	3	journal	journal	NOUN
edu-4309	407	4	of	of	ADP
edu-4309	407	5	mathematics	mathematics	PROPN
edu-4309	407	6	education	education	NOUN
edu-4309	407	7	,	,	PUNCT
edu-4309	407	8	12(3	12(3	NUM
edu-4309	407	9	)	)	PUNCT
edu-4309	407	10	,	,	PUNCT
edu-4309	407	11	367	367	NUM
edu-4309	407	12	-	-	SYM
edu-4309	407	13	381	381	NUM
edu-4309	407	14	.	.	PUNCT
edu-4309	408	1	samsuddin	samsuddin	PROPN
edu-4309	408	2	,	,	PUNCT
edu-4309	408	3	a.	a.	PROPN
edu-4309	408	4	,	,	PUNCT
edu-4309	408	5	&	&	CCONJ
edu-4309	408	6	retnawati	retnawati	NOUN
edu-4309	408	7	,	,	PUNCT
edu-4309	408	8	h.	h.	PROPN
edu-4309	408	9	(	(	PUNCT
edu-4309	408	10	2018	2018	NUM
edu-4309	408	11	)	)	PUNCT
edu-4309	408	12	.	.	PUNCT
edu-4309	409	1	mathematical	mathematical	ADJ
edu-4309	409	2	representation	representation	NOUN
edu-4309	409	3	:	:	PUNCT
edu-4309	409	4	the	the	DET
edu-4309	409	5	roles	role	NOUN
edu-4309	409	6	,	,	PUNCT
edu-4309	409	7	challenges	challenge	NOUN
edu-4309	409	8	and	and	CCONJ
edu-4309	409	9	implication	implication	NOUN
edu-4309	409	10	on	on	ADP
edu-4309	409	11	instruction	instruction	NOUN
edu-4309	409	12	.	.	PUNCT
edu-4309	410	1	paper	paper	NOUN
edu-4309	410	2	presented	present	VERB
edu-4309	410	3	at	at	ADP
edu-4309	410	4	the	the	DET
edu-4309	410	5	journal	journal	NOUN
edu-4309	410	6	of	of	ADP
edu-4309	410	7	physics	physics	PROPN
edu-4309	410	8	:	:	PUNCT
edu-4309	410	9	conference	conference	NOUN
edu-4309	410	10	series	series	NOUN
edu-4309	410	11	.	.	PUNCT
edu-4309	411	1	van	van	PROPN
edu-4309	411	2	den	den	PROPN
edu-4309	411	3	eynde	eynde	NOUN
edu-4309	411	4	,	,	PUNCT
edu-4309	411	5	s.	s.	PROPN
edu-4309	411	6	,	,	PUNCT
edu-4309	411	7	van	van	PROPN
edu-4309	411	8	kampen	kampen	PROPN
edu-4309	411	9	,	,	PUNCT
edu-4309	411	10	p.	p.	PROPN
edu-4309	411	11	,	,	PUNCT
edu-4309	411	12	van	van	PROPN
edu-4309	411	13	dooren	dooren	PROPN
edu-4309	411	14	,	,	PUNCT
edu-4309	411	15	w.	w.	PROPN
edu-4309	411	16	,	,	PUNCT
edu-4309	411	17	&	&	CCONJ
edu-4309	411	18	de	de	X
edu-4309	411	19	cock	cock	NOUN
edu-4309	411	20	,	,	PUNCT
edu-4309	411	21	m.	m.	NOUN
edu-4309	411	22	(	(	PUNCT
edu-4309	411	23	2019	2019	NUM
edu-4309	411	24	)	)	PUNCT
edu-4309	411	25	.	.	PUNCT
edu-4309	412	1	translating	translate	VERB
edu-4309	412	2	between	between	ADP
edu-4309	412	3	graphs	graph	NOUN
edu-4309	412	4	and	and	CCONJ
edu-4309	412	5	equations	equation	NOUN
edu-4309	412	6	:	:	PUNCT
edu-4309	412	7	the	the	DET
edu-4309	412	8	influence	influence	NOUN
edu-4309	412	9	of	of	ADP
edu-4309	412	10	context	context	NOUN
edu-4309	412	11	,	,	PUNCT
edu-4309	412	12	direction	direction	NOUN
edu-4309	412	13	of	of	ADP
edu-4309	412	14	translation	translation	NOUN
edu-4309	412	15	,	,	PUNCT
edu-4309	412	16	and	and	CCONJ
edu-4309	412	17	function	function	NOUN
edu-4309	412	18	type	type	NOUN
edu-4309	412	19	.	.	PUNCT
edu-4309	413	1	physical	physical	PROPN
edu-4309	413	2	review	review	PROPN
edu-4309	413	3	physics	physics	PROPN
edu-4309	413	4	education	education	PROPN
edu-4309	413	5	research	research	NOUN
edu-4309	413	6	,	,	PUNCT
edu-4309	413	7	15(2	15(2	NUM
edu-4309	413	8	)	)	PUNCT
edu-4309	413	9	,	,	PUNCT
edu-4309	413	10	020113	020113	NUM
edu-4309	413	11	.	.	PUNCT
edu-4309	414	1	van	van	NOUN
edu-4309	414	2	meter	meter	NOUN
edu-4309	414	3	,	,	PUNCT
edu-4309	414	4	p.	p.	NOUN
edu-4309	414	5	,	,	PUNCT
edu-4309	414	6	list	list	NOUN
edu-4309	414	7	,	,	PUNCT
edu-4309	414	8	a.	a.	NOUN
edu-4309	414	9	,	,	PUNCT
edu-4309	414	10	lombardi	lombardi	PROPN
edu-4309	414	11	,	,	PUNCT
edu-4309	414	12	d.	d.	PROPN
edu-4309	414	13	,	,	PUNCT
edu-4309	414	14	&	&	CCONJ
edu-4309	414	15	kendeou	kendeou	PROPN
edu-4309	414	16	,	,	PUNCT
edu-4309	414	17	p.	p.	NOUN
edu-4309	414	18	(	(	PUNCT
edu-4309	414	19	2020	2020	NUM
edu-4309	414	20	)	)	PUNCT
edu-4309	414	21	.	.	PUNCT
edu-4309	415	1	handbook	handbook	NOUN
edu-4309	415	2	of	of	ADP
edu-4309	415	3	learning	learn	VERB
edu-4309	415	4	from	from	ADP
edu-4309	415	5	multiple	multiple	ADJ
edu-4309	415	6	representations	representation	NOUN
edu-4309	415	7	and	and	CCONJ
edu-4309	415	8	perspectives	perspective	NOUN
edu-4309	415	9	(	(	PUNCT
edu-4309	415	10	1st	1st	ADJ
edu-4309	415	11	ed	ed	NOUN
edu-4309	415	12	.	.	PROPN
edu-4309	415	13	,	,	PUNCT
edu-4309	415	14	pp	pp	ADJ
edu-4309	415	15	.	.	PUNCT
edu-4309	416	1	1	1	NUM
edu-4309	416	2	-	-	SYM
edu-4309	416	3	13	13	NUM
edu-4309	416	4	)	)	PUNCT
edu-4309	416	5	.	.	PUNCT
edu-4309	417	1	new	new	PROPN
edu-4309	417	2	york	york	PROPN
edu-4309	417	3	:	:	PUNCT
edu-4309	417	4	routledge	routledge	PROPN
edu-4309	417	5	.	.	PUNCT
edu-4309	418	1	asian	asian	PROPN
edu-4309	418	2	online	online	PROPN
edu-4309	418	3	journal	journal	PROPN
edu-4309	418	4	publishing	publishing	NOUN
edu-4309	418	5	group	group	NOUN
edu-4309	418	6	is	be	AUX
edu-4309	418	7	not	not	PART
edu-4309	418	8	responsible	responsible	ADJ
edu-4309	418	9	or	or	CCONJ
edu-4309	418	10	answerable	answerable	ADJ
edu-4309	418	11	for	for	ADP
edu-4309	418	12	any	any	DET
edu-4309	418	13	loss	loss	NOUN
edu-4309	418	14	,	,	PUNCT
edu-4309	418	15	damage	damage	NOUN
edu-4309	418	16	or	or	CCONJ
edu-4309	418	17	liability	liability	NOUN
edu-4309	418	18	,	,	PUNCT
edu-4309	418	19	etc	etc	X
edu-4309	418	20	.	.	X
edu-4309	418	21	caused	cause	VERB
edu-4309	418	22	in	in	ADP
edu-4309	418	23	relation	relation	NOUN
edu-4309	418	24	to	to	PART
edu-4309	418	25	/	/	PUNCT
edu-4309	418	26	arising	arise	VERB
edu-4309	418	27	out	out	ADP
edu-4309	418	28	of	of	ADP
edu-4309	418	29	the	the	DET
edu-4309	418	30	use	use	NOUN
edu-4309	418	31	of	of	ADP
edu-4309	418	32	the	the	DET
edu-4309	418	33	content	content	NOUN
edu-4309	418	34	.	.	PUNCT
edu-4309	419	1	any	any	DET
edu-4309	419	2	queries	query	NOUN
edu-4309	419	3	should	should	AUX
edu-4309	419	4	be	be	AUX
edu-4309	419	5	directed	direct	VERB
edu-4309	419	6	to	to	ADP
edu-4309	419	7	the	the	DET
edu-4309	419	8	corresponding	corresponding	ADJ
edu-4309	419	9	author	author	NOUN
edu-4309	419	10	of	of	ADP
edu-4309	419	11	the	the	DET
edu-4309	419	12	article	article	NOUN
edu-4309	419	13	.	.	PUNCT