id	sid	tid	token	lemma	pos
cieatasu-1519	1	1	cie	cie	PROPN
cieatasu-1519	1	2	template	template	NOUN
cieatasu-1519	1	3	current	current	ADJ
cieatasu-1519	1	4	issues	issue	NOUN
cieatasu-1519	1	5	in	in	ADP
cieatasu-1519	1	6	education	education	NOUN
cieatasu-1519	1	7	,	,	PUNCT
cieatasu-1519	1	8	19(2	19(2	NUM
cieatasu-1519	1	9	)	)	PUNCT
cieatasu-1519	1	10	1	1	NUM
cieatasu-1519	1	11	volume	volume	NOUN
cieatasu-1519	1	12	19	19	NUM
cieatasu-1519	1	13	,	,	PUNCT
cieatasu-1519	1	14	issue	issue	NOUN
cieatasu-1519	1	15	2	2	NUM
cieatasu-1519	1	16	august	august	PROPN
cieatasu-1519	1	17	15	15	NUM
cieatasu-1519	1	18	,	,	PUNCT
cieatasu-1519	1	19	2016	2016	NUM
cieatasu-1519	1	20	issn	issn	PROPN
cieatasu-1519	1	21	1099	1099	NUM
cieatasu-1519	1	22	-	-	PUNCT
cieatasu-1519	1	23	839x	839x	ADJ
cieatasu-1519	1	24	professional	professional	ADJ
cieatasu-1519	1	25	development	development	NOUN
cieatasu-1519	1	26	for	for	ADP
cieatasu-1519	1	27	mathematics	mathematics	NOUN
cieatasu-1519	1	28	teachers	teacher	NOUN
cieatasu-1519	1	29	:	:	PUNCT
cieatasu-1519	1	30	using	use	VERB
cieatasu-1519	1	31	task	task	NOUN
cieatasu-1519	1	32	design	design	NOUN
cieatasu-1519	1	33	and	and	CCONJ
cieatasu-1519	1	34	analysis	analysis	NOUN
cieatasu-1519	1	35	hea	hea	PROPN
cieatasu-1519	1	36	-	-	PUNCT
cieatasu-1519	1	37	jin	jin	PROPN
cieatasu-1519	1	38	lee	lee	PROPN
cieatasu-1519	1	39	ohio	ohio	PROPN
cieatasu-1519	1	40	state	state	PROPN
cieatasu-1519	1	41	university	university	PROPN
cieatasu-1519	1	42	at	at	ADP
cieatasu-1519	1	43	lima	lima	PROPN
cieatasu-1519	1	44	s.	s.	PROPN
cieatasu-1519	1	45	asli	asli	PROPN
cieatasu-1519	1	46	özgün	özgün	PROPN
cieatasu-1519	1	47	-	-	PUNCT
cieatasu-1519	1	48	koca	koca	PROPN
cieatasu-1519	1	49	wayne	wayne	PROPN
cieatasu-1519	1	50	state	state	PROPN
cieatasu-1519	1	51	university	university	PROPN
cieatasu-1519	1	52	abstract	abstract	NOUN
cieatasu-1519	1	53	:	:	PUNCT
cieatasu-1519	1	54	this	this	DET
cieatasu-1519	1	55	study	study	NOUN
cieatasu-1519	1	56	is	be	AUX
cieatasu-1519	1	57	based	base	VERB
cieatasu-1519	1	58	on	on	ADP
cieatasu-1519	1	59	a	a	DET
cieatasu-1519	1	60	task	task	NOUN
cieatasu-1519	1	61	design	design	NOUN
cieatasu-1519	1	62	and	and	CCONJ
cieatasu-1519	1	63	analysis	analysis	NOUN
cieatasu-1519	1	64	activity	activity	NOUN
cieatasu-1519	1	65	from	from	ADP
cieatasu-1519	1	66	a	a	DET
cieatasu-1519	1	67	year	year	NOUN
cieatasu-1519	1	68	-	-	PUNCT
cieatasu-1519	1	69	long	long	ADJ
cieatasu-1519	1	70	professional	professional	ADJ
cieatasu-1519	1	71	development	development	NOUN
cieatasu-1519	1	72	program	program	NOUN
cieatasu-1519	1	73	.	.	PUNCT
cieatasu-1519	2	1	the	the	DET
cieatasu-1519	2	2	activity	activity	NOUN
cieatasu-1519	2	3	was	be	AUX
cieatasu-1519	2	4	designed	design	VERB
cieatasu-1519	2	5	to	to	PART
cieatasu-1519	2	6	increase	increase	VERB
cieatasu-1519	2	7	teacher	teacher	NOUN
cieatasu-1519	2	8	growth	growth	NOUN
cieatasu-1519	2	9	in	in	ADP
cieatasu-1519	2	10	several	several	ADJ
cieatasu-1519	2	11	areas	area	NOUN
cieatasu-1519	2	12	,	,	PUNCT
cieatasu-1519	2	13	including	include	VERB
cieatasu-1519	2	14	knowledge	knowledge	NOUN
cieatasu-1519	2	15	of	of	ADP
cieatasu-1519	2	16	mathematics	mathematic	NOUN
cieatasu-1519	2	17	,	,	PUNCT
cieatasu-1519	2	18	understanding	understanding	NOUN
cieatasu-1519	2	19	of	of	ADP
cieatasu-1519	2	20	students	student	NOUN
cieatasu-1519	2	21	’	’	PART
cieatasu-1519	2	22	cognitive	cognitive	ADJ
cieatasu-1519	2	23	activity	activity	NOUN
cieatasu-1519	2	24	,	,	PUNCT
cieatasu-1519	2	25	knowledge	knowledge	NOUN
cieatasu-1519	2	26	of	of	ADP
cieatasu-1519	2	27	good	good	ADJ
cieatasu-1519	2	28	questions	question	NOUN
cieatasu-1519	2	29	,	,	PUNCT
cieatasu-1519	2	30	and	and	CCONJ
cieatasu-1519	2	31	ability	ability	NOUN
cieatasu-1519	2	32	to	to	PART
cieatasu-1519	2	33	develop	develop	VERB
cieatasu-1519	2	34	and	and	CCONJ
cieatasu-1519	2	35	improve	improve	VERB
cieatasu-1519	2	36	high	high	ADJ
cieatasu-1519	2	37	quality	quality	NOUN
cieatasu-1519	2	38	tasks	task	NOUN
cieatasu-1519	2	39	.	.	PUNCT
cieatasu-1519	3	1	the	the	DET
cieatasu-1519	3	2	study	study	NOUN
cieatasu-1519	3	3	collected	collect	VERB
cieatasu-1519	3	4	data	datum	NOUN
cieatasu-1519	3	5	from	from	ADP
cieatasu-1519	3	6	30	30	NUM
cieatasu-1519	3	7	classroom	classroom	NOUN
cieatasu-1519	3	8	teachers	teacher	NOUN
cieatasu-1519	3	9	.	.	PUNCT
cieatasu-1519	4	1	results	result	NOUN
cieatasu-1519	4	2	include	include	VERB
cieatasu-1519	4	3	teachers	teacher	NOUN
cieatasu-1519	4	4	’	’	PART
cieatasu-1519	4	5	initial	initial	ADJ
cieatasu-1519	4	6	understanding	understanding	NOUN
cieatasu-1519	4	7	of	of	ADP
cieatasu-1519	4	8	the	the	DET
cieatasu-1519	4	9	task	task	NOUN
cieatasu-1519	4	10	,	,	PUNCT
cieatasu-1519	4	11	teachers	teacher	NOUN
cieatasu-1519	4	12	’	'	PUNCT
cieatasu-1519	4	13	interpretations	interpretation	NOUN
cieatasu-1519	4	14	and	and	CCONJ
cieatasu-1519	4	15	awareness	awareness	NOUN
cieatasu-1519	4	16	of	of	ADP
cieatasu-1519	4	17	the	the	DET
cieatasu-1519	4	18	strategies	strategy	NOUN
cieatasu-1519	4	19	their	their	PRON
cieatasu-1519	4	20	students	student	NOUN
cieatasu-1519	4	21	used	use	VERB
cieatasu-1519	4	22	to	to	PART
cieatasu-1519	4	23	solve	solve	VERB
cieatasu-1519	4	24	the	the	DET
cieatasu-1519	4	25	task	task	NOUN
cieatasu-1519	4	26	,	,	PUNCT
cieatasu-1519	4	27	and	and	CCONJ
cieatasu-1519	4	28	the	the	DET
cieatasu-1519	4	29	pattern	pattern	NOUN
cieatasu-1519	4	30	of	of	ADP
cieatasu-1519	4	31	revised	revise	VERB
cieatasu-1519	4	32	tasks	task	NOUN
cieatasu-1519	4	33	.	.	PUNCT
cieatasu-1519	5	1	the	the	DET
cieatasu-1519	5	2	process	process	NOUN
cieatasu-1519	5	3	and	and	CCONJ
cieatasu-1519	5	4	findings	finding	NOUN
cieatasu-1519	5	5	of	of	ADP
cieatasu-1519	5	6	the	the	DET
cieatasu-1519	5	7	study	study	NOUN
cieatasu-1519	5	8	will	will	AUX
cieatasu-1519	5	9	expand	expand	VERB
cieatasu-1519	5	10	teacher	teacher	NOUN
cieatasu-1519	5	11	educators	educator	NOUN
cieatasu-1519	5	12	’	’	PART
cieatasu-1519	5	13	understanding	understanding	NOUN
cieatasu-1519	5	14	of	of	ADP
cieatasu-1519	5	15	structured	structured	ADJ
cieatasu-1519	5	16	approaches	approach	NOUN
cieatasu-1519	5	17	to	to	PART
cieatasu-1519	5	18	link	link	VERB
cieatasu-1519	5	19	an	an	DET
cieatasu-1519	5	20	inservice	inservice	NOUN
cieatasu-1519	5	21	pd	pd	NOUN
cieatasu-1519	5	22	with	with	ADP
cieatasu-1519	5	23	teachers	teacher	NOUN
cieatasu-1519	5	24	’	'	PUNCT
cieatasu-1519	5	25	work	work	NOUN
cieatasu-1519	5	26	context	context	NOUN
cieatasu-1519	5	27	as	as	ADV
cieatasu-1519	5	28	well	well	ADV
cieatasu-1519	5	29	as	as	ADP
cieatasu-1519	5	30	develop	develop	VERB
cieatasu-1519	5	31	a	a	DET
cieatasu-1519	5	32	better	well	ADJ
cieatasu-1519	5	33	analytic	analytic	ADJ
cieatasu-1519	5	34	framework	framework	NOUN
cieatasu-1519	5	35	within	within	ADP
cieatasu-1519	5	36	which	which	PRON
cieatasu-1519	5	37	teachers	teacher	NOUN
cieatasu-1519	5	38	and	and	CCONJ
cieatasu-1519	5	39	teacher	teacher	NOUN
cieatasu-1519	5	40	educators	educator	NOUN
cieatasu-1519	5	41	analyze	analyze	VERB
cieatasu-1519	5	42	student	student	NOUN
cieatasu-1519	5	43	work	work	NOUN
cieatasu-1519	5	44	.	.	PUNCT
cieatasu-1519	6	1	keywords	keyword	NOUN
cieatasu-1519	6	2	:	:	PUNCT
cieatasu-1519	6	3	task	task	NOUN
cieatasu-1519	6	4	design	design	NOUN
cieatasu-1519	6	5	and	and	CCONJ
cieatasu-1519	6	6	analysis	analysis	NOUN
cieatasu-1519	6	7	,	,	PUNCT
cieatasu-1519	6	8	professional	professional	ADJ
cieatasu-1519	6	9	development	development	NOUN
cieatasu-1519	6	10	,	,	PUNCT
cieatasu-1519	6	11	teacher	teacher	NOUN
cieatasu-1519	6	12	growth	growth	NOUN
cieatasu-1519	6	13	apa	apa	PROPN
cieatasu-1519	6	14	-	-	PUNCT
cieatasu-1519	6	15	style	style	NOUN
cieatasu-1519	6	16	citation	citation	NOUN
cieatasu-1519	6	17	:	:	PUNCT
cieatasu-1519	6	18	lee	lee	PROPN
cieatasu-1519	6	19	,	,	PUNCT
cieatasu-1519	6	20	h.-j	h.-j	PROPN
cieatasu-1519	6	21	.	.	PROPN
cieatasu-1519	6	22	,	,	PUNCT
cieatasu-1519	6	23	&	&	CCONJ
cieatasu-1519	6	24	özgün	özgün	PROPN
cieatasu-1519	6	25	-	-	PUNCT
cieatasu-1519	6	26	koca	koca	PROPN
cieatasu-1519	6	27	,	,	PUNCT
cieatasu-1519	6	28	s.	s.	PROPN
cieatasu-1519	6	29	a.	a.	PROPN
cieatasu-1519	6	30	(	(	PUNCT
cieatasu-1519	6	31	2016	2016	NUM
cieatasu-1519	6	32	)	)	PUNCT
cieatasu-1519	6	33	.	.	PUNCT
cieatasu-1519	7	1	professional	professional	ADJ
cieatasu-1519	7	2	development	development	NOUN
cieatasu-1519	7	3	for	for	ADP
cieatasu-1519	7	4	mathematics	mathematics	NOUN
cieatasu-1519	7	5	teachers	teacher	NOUN
cieatasu-1519	7	6	:	:	PUNCT
cieatasu-1519	7	7	using	use	VERB
cieatasu-1519	7	8	task	task	NOUN
cieatasu-1519	7	9	design	design	NOUN
cieatasu-1519	7	10	and	and	CCONJ
cieatasu-1519	7	11	analysis	analysis	NOUN
cieatasu-1519	7	12	.	.	PUNCT
cieatasu-1519	8	1	current	current	ADJ
cieatasu-1519	8	2	issues	issue	NOUN
cieatasu-1519	8	3	in	in	ADP
cieatasu-1519	8	4	education	education	NOUN
cieatasu-1519	8	5	,	,	PUNCT
cieatasu-1519	8	6	19(2	19(2	NUM
cieatasu-1519	8	7	)	)	PUNCT
cieatasu-1519	8	8	.	.	PUNCT
cieatasu-1519	9	1	retrieved	retrieve	VERB
cieatasu-1519	9	2	from	from	ADP
cieatasu-1519	9	3	http://cie.asu.edu/ojs/index.php/cieatasu/article/view/1519	http://cie.asu.edu/ojs/index.php/cieatasu/article/view/1519	PUNCT
cieatasu-1519	9	4	accepted	accept	VERB
cieatasu-1519	9	5	:	:	PUNCT
cieatasu-1519	9	6	may	may	AUX
cieatasu-1519	9	7	3	3	NUM
cieatasu-1519	9	8	rd	rd	PROPN
cieatasu-1519	9	9	,	,	PUNCT
cieatasu-1519	9	10	2016	2016	NUM
cieatasu-1519	9	11	an	an	DET
cieatasu-1519	9	12	integral	integral	ADJ
cieatasu-1519	9	13	component	component	NOUN
cieatasu-1519	9	14	of	of	ADP
cieatasu-1519	9	15	instruction	instruction	NOUN
cieatasu-1519	9	16	is	be	AUX
cieatasu-1519	9	17	the	the	DET
cieatasu-1519	9	18	notion	notion	NOUN
cieatasu-1519	9	19	of	of	ADP
cieatasu-1519	9	20	a	a	DET
cieatasu-1519	9	21	task	task	NOUN
cieatasu-1519	9	22	.	.	PUNCT
cieatasu-1519	10	1	a	a	DET
cieatasu-1519	10	2	mathematical	mathematical	ADJ
cieatasu-1519	10	3	task	task	NOUN
cieatasu-1519	10	4	is	be	AUX
cieatasu-1519	10	5	a	a	DET
cieatasu-1519	10	6	set	set	NOUN
cieatasu-1519	10	7	of	of	ADP
cieatasu-1519	10	8	problems	problem	NOUN
cieatasu-1519	10	9	or	or	CCONJ
cieatasu-1519	10	10	a	a	DET
cieatasu-1519	10	11	single	single	ADJ
cieatasu-1519	10	12	complex	complex	ADJ
cieatasu-1519	10	13	problem	problem	NOUN
cieatasu-1519	10	14	that	that	PRON
cieatasu-1519	10	15	focuses	focus	VERB
cieatasu-1519	10	16	students	student	NOUN
cieatasu-1519	10	17	’	’	PART
cieatasu-1519	10	18	attention	attention	NOUN
cieatasu-1519	10	19	on	on	ADP
cieatasu-1519	10	20	a	a	DET
cieatasu-1519	10	21	particular	particular	ADJ
cieatasu-1519	10	22	mathematical	mathematical	ADJ
cieatasu-1519	10	23	idea	idea	NOUN
cieatasu-1519	10	24	(	(	PUNCT
cieatasu-1519	10	25	stein	stein	PROPN
cieatasu-1519	10	26	,	,	PUNCT
cieatasu-1519	10	27	grover	grover	PROPN
cieatasu-1519	10	28	,	,	PUNCT
cieatasu-1519	10	29	&	&	CCONJ
cieatasu-1519	10	30	henningsen	henningsen	PROPN
cieatasu-1519	10	31	,	,	PUNCT
cieatasu-1519	10	32	1996	1996	NUM
cieatasu-1519	10	33	)	)	PUNCT
cieatasu-1519	10	34	.	.	PUNCT
cieatasu-1519	11	1	mathematical	mathematical	ADJ
cieatasu-1519	11	2	tasks	task	NOUN
cieatasu-1519	11	3	are	be	AUX
cieatasu-1519	11	4	central	central	ADJ
cieatasu-1519	11	5	to	to	ADP
cieatasu-1519	11	6	student	student	NOUN
cieatasu-1519	11	7	learning	learning	NOUN
cieatasu-1519	11	8	and	and	CCONJ
cieatasu-1519	11	9	require	require	VERB
cieatasu-1519	11	10	various	various	ADJ
cieatasu-1519	11	11	levels	level	NOUN
cieatasu-1519	11	12	of	of	ADP
cieatasu-1519	11	13	cognitive	cognitive	ADJ
cieatasu-1519	11	14	demand	demand	NOUN
cieatasu-1519	11	15	(	(	PUNCT
cieatasu-1519	11	16	henningsen	henningsen	PROPN
cieatasu-1519	11	17	&	&	CCONJ
cieatasu-1519	11	18	stein	stein	PROPN
cieatasu-1519	11	19	,	,	PUNCT
cieatasu-1519	11	20	1997	1997	NUM
cieatasu-1519	11	21	)	)	PUNCT
cieatasu-1519	11	22	.	.	PUNCT
cieatasu-1519	12	1	the	the	DET
cieatasu-1519	12	2	content	content	NOUN
cieatasu-1519	12	3	and	and	CCONJ
cieatasu-1519	12	4	context	context	NOUN
cieatasu-1519	12	5	of	of	ADP
cieatasu-1519	12	6	tasks	task	NOUN
cieatasu-1519	12	7	influence	influence	VERB
cieatasu-1519	12	8	the	the	DET
cieatasu-1519	12	9	way	way	NOUN
cieatasu-1519	12	10	students	student	NOUN
cieatasu-1519	12	11	think	think	VERB
cieatasu-1519	12	12	and	and	CCONJ
cieatasu-1519	12	13	how	how	SCONJ
cieatasu-1519	12	14	they	they	PRON
cieatasu-1519	12	15	understand	understand	VERB
cieatasu-1519	12	16	mathematics	mathematic	NOUN
cieatasu-1519	12	17	.	.	PUNCT
cieatasu-1519	13	1	beside	beside	ADP
cieatasu-1519	13	2	the	the	DET
cieatasu-1519	13	3	benefit	benefit	NOUN
cieatasu-1519	13	4	to	to	ADP
cieatasu-1519	13	5	students	student	NOUN
cieatasu-1519	13	6	,	,	PUNCT
cieatasu-1519	13	7	a	a	DET
cieatasu-1519	13	8	task	task	NOUN
cieatasu-1519	13	9	serves	serve	VERB
cieatasu-1519	13	10	to	to	PART
cieatasu-1519	13	11	inform	inform	VERB
cieatasu-1519	13	12	the	the	DET
cieatasu-1519	13	13	teacher	teacher	NOUN
cieatasu-1519	13	14	’s	’s	PART
cieatasu-1519	13	15	instruction	instruction	NOUN
cieatasu-1519	13	16	.	.	PUNCT
cieatasu-1519	14	1	the	the	DET
cieatasu-1519	14	2	quality	quality	NOUN
cieatasu-1519	14	3	of	of	ADP
cieatasu-1519	14	4	a	a	DET
cieatasu-1519	14	5	task	task	NOUN
cieatasu-1519	14	6	and	and	CCONJ
cieatasu-1519	14	7	how	how	SCONJ
cieatasu-1519	14	8	the	the	DET
cieatasu-1519	14	9	task	task	NOUN
cieatasu-1519	14	10	is	be	AUX
cieatasu-1519	14	11	implemented	implement	VERB
cieatasu-1519	14	12	have	have	VERB
cieatasu-1519	14	13	a	a	DET
cieatasu-1519	14	14	great	great	ADJ
cieatasu-1519	14	15	influence	influence	NOUN
cieatasu-1519	14	16	on	on	ADP
cieatasu-1519	14	17	how	how	SCONJ
cieatasu-1519	14	18	a	a	DET
cieatasu-1519	14	19	student	student	NOUN
cieatasu-1519	14	20	learns	learn	VERB
cieatasu-1519	14	21	mathematics	mathematic	NOUN
cieatasu-1519	14	22	(	(	PUNCT
cieatasu-1519	14	23	krebs	krebs	NOUN
cieatasu-1519	14	24	,	,	PUNCT
cieatasu-1519	14	25	2005	2005	NUM
cieatasu-1519	14	26	;	;	PUNCT
cieatasu-1519	14	27	thompson	thompson	PROPN
cieatasu-1519	14	28	,	,	PUNCT
cieatasu-1519	14	29	carlson	carlson	PROPN
cieatasu-1519	14	30	,	,	PUNCT
cieatasu-1519	14	31	&	&	CCONJ
cieatasu-1519	14	32	silverman	silverman	PROPN
cieatasu-1519	14	33	,	,	PUNCT
cieatasu-1519	14	34	2007	2007	NUM
cieatasu-1519	14	35	)	)	PUNCT
cieatasu-1519	14	36	.	.	PUNCT
cieatasu-1519	15	1	in	in	ADP
cieatasu-1519	15	2	order	order	NOUN
cieatasu-1519	15	3	to	to	PART
cieatasu-1519	15	4	develop	develop	VERB
cieatasu-1519	15	5	a	a	DET
cieatasu-1519	15	6	http://cie.asu.edu/ojs/index.php/cieatasu/article/view/1519	http://cie.asu.edu/ojs/index.php/cieatasu/article/view/1519	X
cieatasu-1519	15	7	lee	lee	PROPN
cieatasu-1519	15	8	&	&	CCONJ
cieatasu-1519	15	9	özgün	özgün	PROPN
cieatasu-1519	15	10	-	-	PUNCT
cieatasu-1519	15	11	koca	koca	NOUN
cieatasu-1519	15	12	:	:	PUNCT
cieatasu-1519	15	13	professional	professional	ADJ
cieatasu-1519	15	14	development	development	NOUN
cieatasu-1519	15	15	for	for	ADP
cieatasu-1519	15	16	mathematics	mathematics	NOUN
cieatasu-1519	15	17	teachers	teacher	NOUN
cieatasu-1519	15	18	:	:	PUNCT
cieatasu-1519	15	19	using	use	VERB
cieatasu-1519	15	20	task	task	NOUN
cieatasu-1519	15	21	design	design	NOUN
cieatasu-1519	15	22	and	and	CCONJ
cieatasu-1519	15	23	analysis	analysis	NOUN
cieatasu-1519	15	24	current	current	ADJ
cieatasu-1519	15	25	issues	issue	NOUN
cieatasu-1519	15	26	in	in	ADP
cieatasu-1519	15	27	education	education	NOUN
cieatasu-1519	15	28	,	,	PUNCT
cieatasu-1519	15	29	19(2	19(2	NUM
cieatasu-1519	15	30	)	)	PUNCT
cieatasu-1519	15	31	2	2	NUM
cieatasu-1519	15	32	student	student	NOUN
cieatasu-1519	15	33	’s	’s	PART
cieatasu-1519	15	34	active	active	ADJ
cieatasu-1519	15	35	reasoning	reasoning	NOUN
cieatasu-1519	15	36	process	process	NOUN
cieatasu-1519	15	37	and	and	CCONJ
cieatasu-1519	15	38	high	high	ADJ
cieatasu-1519	15	39	-	-	PUNCT
cieatasu-1519	15	40	level	level	NOUN
cieatasu-1519	15	41	thinking	thinking	NOUN
cieatasu-1519	15	42	skills	skill	NOUN
cieatasu-1519	15	43	,	,	PUNCT
cieatasu-1519	15	44	the	the	DET
cieatasu-1519	15	45	classroom	classroom	NOUN
cieatasu-1519	15	46	environment	environment	NOUN
cieatasu-1519	15	47	should	should	AUX
cieatasu-1519	15	48	provide	provide	VERB
cieatasu-1519	15	49	every	every	DET
cieatasu-1519	15	50	student	student	NOUN
cieatasu-1519	15	51	with	with	ADP
cieatasu-1519	15	52	opportunities	opportunity	NOUN
cieatasu-1519	15	53	to	to	PART
cieatasu-1519	15	54	engage	engage	VERB
cieatasu-1519	15	55	in	in	ADP
cieatasu-1519	15	56	rich	rich	ADJ
cieatasu-1519	15	57	mathematical	mathematical	ADJ
cieatasu-1519	15	58	tasks	task	NOUN
cieatasu-1519	15	59	.	.	PUNCT
cieatasu-1519	16	1	the	the	DET
cieatasu-1519	16	2	strategies	strategy	NOUN
cieatasu-1519	16	3	used	use	VERB
cieatasu-1519	16	4	by	by	ADP
cieatasu-1519	16	5	students	student	NOUN
cieatasu-1519	16	6	need	need	VERB
cieatasu-1519	16	7	to	to	PART
cieatasu-1519	16	8	be	be	AUX
cieatasu-1519	16	9	understood	understand	VERB
cieatasu-1519	16	10	in	in	ADP
cieatasu-1519	16	11	order	order	NOUN
cieatasu-1519	16	12	to	to	PART
cieatasu-1519	16	13	facilitate	facilitate	VERB
cieatasu-1519	16	14	the	the	DET
cieatasu-1519	16	15	mathematical	mathematical	ADJ
cieatasu-1519	16	16	discourse	discourse	NOUN
cieatasu-1519	16	17	about	about	ADP
cieatasu-1519	16	18	these	these	DET
cieatasu-1519	16	19	strategies	strategy	NOUN
cieatasu-1519	16	20	,	,	PUNCT
cieatasu-1519	16	21	and	and	CCONJ
cieatasu-1519	16	22	to	to	PART
cieatasu-1519	16	23	help	help	VERB
cieatasu-1519	16	24	students	student	NOUN
cieatasu-1519	16	25	build	build	VERB
cieatasu-1519	16	26	on	on	ADP
cieatasu-1519	16	27	their	their	PRON
cieatasu-1519	16	28	mathematical	mathematical	ADJ
cieatasu-1519	16	29	knowledge	knowledge	NOUN
cieatasu-1519	16	30	and	and	CCONJ
cieatasu-1519	16	31	develop	develop	VERB
cieatasu-1519	16	32	new	new	ADJ
cieatasu-1519	16	33	strategies	strategy	NOUN
cieatasu-1519	16	34	(	(	PUNCT
cieatasu-1519	16	35	kazemi	kazemi	PROPN
cieatasu-1519	16	36	&	&	CCONJ
cieatasu-1519	16	37	franke	franke	PROPN
cieatasu-1519	16	38	,	,	PUNCT
cieatasu-1519	16	39	2004	2004	NUM
cieatasu-1519	16	40	;	;	PUNCT
cieatasu-1519	16	41	meyer	meyer	PROPN
cieatasu-1519	16	42	,	,	PUNCT
cieatasu-1519	16	43	1997	1997	NUM
cieatasu-1519	16	44	)	)	PUNCT
cieatasu-1519	16	45	.	.	PUNCT
cieatasu-1519	17	1	therefore	therefore	ADV
cieatasu-1519	17	2	,	,	PUNCT
cieatasu-1519	17	3	it	it	PRON
cieatasu-1519	17	4	is	be	AUX
cieatasu-1519	17	5	critical	critical	ADJ
cieatasu-1519	17	6	that	that	SCONJ
cieatasu-1519	17	7	the	the	DET
cieatasu-1519	17	8	teacher	teacher	NOUN
cieatasu-1519	17	9	be	be	AUX
cieatasu-1519	17	10	capable	capable	ADJ
cieatasu-1519	17	11	of	of	ADP
cieatasu-1519	17	12	designing	design	VERB
cieatasu-1519	17	13	quality	quality	NOUN
cieatasu-1519	17	14	tasks	task	NOUN
cieatasu-1519	17	15	.	.	PUNCT
cieatasu-1519	18	1	this	this	DET
cieatasu-1519	18	2	study	study	NOUN
cieatasu-1519	18	3	is	be	AUX
cieatasu-1519	18	4	based	base	VERB
cieatasu-1519	18	5	on	on	ADP
cieatasu-1519	18	6	a	a	DET
cieatasu-1519	18	7	professional	professional	ADJ
cieatasu-1519	18	8	development	development	NOUN
cieatasu-1519	18	9	(	(	PUNCT
cieatasu-1519	18	10	pd	pd	NOUN
cieatasu-1519	18	11	)	)	PUNCT
cieatasu-1519	18	12	activity	activity	NOUN
cieatasu-1519	18	13	in	in	ADP
cieatasu-1519	18	14	task	task	NOUN
cieatasu-1519	18	15	design	design	NOUN
cieatasu-1519	18	16	and	and	CCONJ
cieatasu-1519	18	17	analysis	analysis	NOUN
cieatasu-1519	18	18	.	.	PUNCT
cieatasu-1519	19	1	the	the	DET
cieatasu-1519	19	2	activity	activity	NOUN
cieatasu-1519	19	3	was	be	AUX
cieatasu-1519	19	4	included	include	VERB
cieatasu-1519	19	5	as	as	ADP
cieatasu-1519	19	6	part	part	NOUN
cieatasu-1519	19	7	of	of	ADP
cieatasu-1519	19	8	a	a	DET
cieatasu-1519	19	9	year	year	NOUN
cieatasu-1519	19	10	-	-	PUNCT
cieatasu-1519	19	11	long	long	ADJ
cieatasu-1519	19	12	professional	professional	ADJ
cieatasu-1519	19	13	development	development	NOUN
cieatasu-1519	19	14	program	program	NOUN
cieatasu-1519	19	15	,	,	PUNCT
cieatasu-1519	19	16	aimed	aim	VERB
cieatasu-1519	19	17	to	to	PART
cieatasu-1519	19	18	improve	improve	VERB
cieatasu-1519	19	19	a	a	DET
cieatasu-1519	19	20	teacher	teacher	NOUN
cieatasu-1519	19	21	’s	’s	PART
cieatasu-1519	19	22	knowledge	knowledge	NOUN
cieatasu-1519	19	23	and	and	CCONJ
cieatasu-1519	19	24	skills	skill	NOUN
cieatasu-1519	19	25	needed	need	VERB
cieatasu-1519	19	26	for	for	ADP
cieatasu-1519	19	27	designing	design	VERB
cieatasu-1519	19	28	high	high	ADJ
cieatasu-1519	19	29	quality	quality	NOUN
cieatasu-1519	19	30	mathematics	mathematic	NOUN
cieatasu-1519	19	31	tasks	task	NOUN
cieatasu-1519	19	32	.	.	PUNCT
cieatasu-1519	20	1	the	the	DET
cieatasu-1519	20	2	study	study	NOUN
cieatasu-1519	20	3	has	have	VERB
cieatasu-1519	20	4	two	two	NUM
cieatasu-1519	20	5	goals	goal	NOUN
cieatasu-1519	20	6	:	:	PUNCT
cieatasu-1519	20	7	(	(	PUNCT
cieatasu-1519	20	8	1	1	X
cieatasu-1519	20	9	)	)	PUNCT
cieatasu-1519	20	10	to	to	PART
cieatasu-1519	20	11	develop	develop	VERB
cieatasu-1519	20	12	a	a	DET
cieatasu-1519	20	13	conceptual	conceptual	ADJ
cieatasu-1519	20	14	framework	framework	NOUN
cieatasu-1519	20	15	for	for	ADP
cieatasu-1519	20	16	a	a	DET
cieatasu-1519	20	17	pd	pd	NOUN
cieatasu-1519	20	18	program	program	NOUN
cieatasu-1519	20	19	that	that	PRON
cieatasu-1519	20	20	uses	use	VERB
cieatasu-1519	20	21	student	student	NOUN
cieatasu-1519	20	22	work	work	NOUN
cieatasu-1519	20	23	to	to	PART
cieatasu-1519	20	24	enhance	enhance	VERB
cieatasu-1519	20	25	a	a	DET
cieatasu-1519	20	26	teacher	teacher	NOUN
cieatasu-1519	20	27	’s	’s	PART
cieatasu-1519	20	28	professional	professional	ADJ
cieatasu-1519	20	29	growth	growth	NOUN
cieatasu-1519	20	30	;	;	PUNCT
cieatasu-1519	20	31	and	and	CCONJ
cieatasu-1519	20	32	(	(	PUNCT
cieatasu-1519	20	33	2	2	X
cieatasu-1519	20	34	)	)	PUNCT
cieatasu-1519	20	35	to	to	PART
cieatasu-1519	20	36	provide	provide	VERB
cieatasu-1519	20	37	an	an	DET
cieatasu-1519	20	38	analytic	analytic	ADJ
cieatasu-1519	20	39	framework	framework	NOUN
cieatasu-1519	20	40	within	within	ADP
cieatasu-1519	20	41	which	which	PRON
cieatasu-1519	20	42	teachers	teacher	NOUN
cieatasu-1519	20	43	and	and	CCONJ
cieatasu-1519	20	44	teacher	teacher	NOUN
cieatasu-1519	20	45	educators	educator	NOUN
cieatasu-1519	20	46	analyze	analyze	VERB
cieatasu-1519	20	47	student	student	NOUN
cieatasu-1519	20	48	work	work	NOUN
cieatasu-1519	20	49	.	.	PUNCT
cieatasu-1519	21	1	the	the	DET
cieatasu-1519	21	2	work	work	NOUN
cieatasu-1519	21	3	of	of	ADP
cieatasu-1519	21	4	both	both	DET
cieatasu-1519	21	5	students	student	NOUN
cieatasu-1519	21	6	and	and	CCONJ
cieatasu-1519	21	7	teachers	teacher	NOUN
cieatasu-1519	21	8	was	be	AUX
cieatasu-1519	21	9	analyzed	analyze	VERB
cieatasu-1519	21	10	in	in	ADP
cieatasu-1519	21	11	order	order	NOUN
cieatasu-1519	21	12	to	to	PART
cieatasu-1519	21	13	meet	meet	VERB
cieatasu-1519	21	14	these	these	DET
cieatasu-1519	21	15	goals	goal	NOUN
cieatasu-1519	21	16	and	and	CCONJ
cieatasu-1519	21	17	to	to	PART
cieatasu-1519	21	18	investigate	investigate	VERB
cieatasu-1519	21	19	:	:	PUNCT
cieatasu-1519	21	20	teacher	teacher	NOUN
cieatasu-1519	21	21	knowledge	knowledge	NOUN
cieatasu-1519	21	22	of	of	ADP
cieatasu-1519	21	23	mathematics	mathematic	NOUN
cieatasu-1519	21	24	,	,	PUNCT
cieatasu-1519	21	25	teachers	teacher	NOUN
cieatasu-1519	21	26	’	’	PART
cieatasu-1519	21	27	understanding	understanding	NOUN
cieatasu-1519	21	28	of	of	ADP
cieatasu-1519	21	29	students	student	NOUN
cieatasu-1519	21	30	’	’	PART
cieatasu-1519	21	31	cognitive	cognitive	ADJ
cieatasu-1519	21	32	activity	activity	NOUN
cieatasu-1519	21	33	,	,	PUNCT
cieatasu-1519	21	34	and	and	CCONJ
cieatasu-1519	21	35	a	a	DET
cieatasu-1519	21	36	teacher	teacher	NOUN
cieatasu-1519	21	37	’s	’s	PART
cieatasu-1519	21	38	ability	ability	NOUN
cieatasu-1519	21	39	to	to	PART
cieatasu-1519	21	40	develop	develop	VERB
cieatasu-1519	21	41	high	high	ADJ
cieatasu-1519	21	42	quality	quality	NOUN
cieatasu-1519	21	43	tasks	task	NOUN
cieatasu-1519	21	44	.	.	PUNCT
cieatasu-1519	22	1	the	the	DET
cieatasu-1519	22	2	theoretical	theoretical	ADJ
cieatasu-1519	22	3	framework	framework	NOUN
cieatasu-1519	22	4	the	the	DET
cieatasu-1519	22	5	theoretical	theoretical	ADJ
cieatasu-1519	22	6	framework	framework	NOUN
cieatasu-1519	22	7	of	of	ADP
cieatasu-1519	22	8	the	the	DET
cieatasu-1519	22	9	study	study	NOUN
cieatasu-1519	22	10	(	(	PUNCT
cieatasu-1519	22	11	lee	lee	PROPN
cieatasu-1519	22	12	&	&	CCONJ
cieatasu-1519	22	13	özgün	özgün	PROPN
cieatasu-1519	22	14	-	-	PUNCT
cieatasu-1519	22	15	koca	koca	NOUN
cieatasu-1519	22	16	,	,	PUNCT
cieatasu-1519	22	17	2013	2013	NUM
cieatasu-1519	22	18	,	,	PUNCT
cieatasu-1519	22	19	2014	2014	NUM
cieatasu-1519	22	20	)	)	PUNCT
cieatasu-1519	22	21	is	be	AUX
cieatasu-1519	22	22	based	base	VERB
cieatasu-1519	22	23	on	on	ADP
cieatasu-1519	22	24	the	the	DET
cieatasu-1519	22	25	steps	step	NOUN
cieatasu-1519	22	26	of	of	ADP
cieatasu-1519	22	27	the	the	DET
cieatasu-1519	22	28	progression	progression	NOUN
cieatasu-1519	22	29	of	of	ADP
cieatasu-1519	22	30	mathematical	mathematical	ADJ
cieatasu-1519	22	31	tasks	task	NOUN
cieatasu-1519	22	32	(	(	PUNCT
cieatasu-1519	22	33	stein	stein	PROPN
cieatasu-1519	22	34	et	et	PROPN
cieatasu-1519	22	35	al	al	PROPN
cieatasu-1519	22	36	.	.	PROPN
cieatasu-1519	22	37	,	,	PUNCT
cieatasu-1519	22	38	1996	1996	NUM
cieatasu-1519	22	39	)	)	PUNCT
cieatasu-1519	22	40	and	and	CCONJ
cieatasu-1519	22	41	the	the	DET
cieatasu-1519	22	42	relationships	relationship	NOUN
cieatasu-1519	22	43	among	among	ADP
cieatasu-1519	22	44	various	various	ADJ
cieatasu-1519	22	45	task	task	NOUN
cieatasu-1519	22	46	-	-	PUNCT
cieatasu-1519	22	47	related	relate	VERB
cieatasu-1519	22	48	variables	variable	NOUN
cieatasu-1519	22	49	and	and	CCONJ
cieatasu-1519	22	50	students	student	NOUN
cieatasu-1519	22	51	’	'	PUNCT
cieatasu-1519	22	52	learning	learn	VERB
cieatasu-1519	22	53	outcomes	outcome	NOUN
cieatasu-1519	22	54	(	(	PUNCT
cieatasu-1519	22	55	henningsen	henningsen	PROPN
cieatasu-1519	22	56	&	&	CCONJ
cieatasu-1519	22	57	stein	stein	PROPN
cieatasu-1519	22	58	,	,	PUNCT
cieatasu-1519	22	59	1997	1997	NUM
cieatasu-1519	22	60	)	)	PUNCT
cieatasu-1519	22	61	.	.	PUNCT
cieatasu-1519	23	1	this	this	PRON
cieatasu-1519	23	2	is	be	AUX
cieatasu-1519	23	3	carried	carry	VERB
cieatasu-1519	23	4	out	out	ADP
cieatasu-1519	23	5	using	use	VERB
cieatasu-1519	23	6	student	student	NOUN
cieatasu-1519	23	7	work	work	NOUN
cieatasu-1519	23	8	in	in	ADP
cieatasu-1519	23	9	teacher	teacher	NOUN
cieatasu-1519	23	10	education	education	NOUN
cieatasu-1519	23	11	(	(	PUNCT
cieatasu-1519	23	12	kazemi	kazemi	PROPN
cieatasu-1519	23	13	&	&	CCONJ
cieatasu-1519	23	14	franke	franke	PROPN
cieatasu-1519	23	15	,	,	PUNCT
cieatasu-1519	23	16	2004	2004	NUM
cieatasu-1519	23	17	)	)	PUNCT
cieatasu-1519	23	18	,	,	PUNCT
cieatasu-1519	23	19	the	the	DET
cieatasu-1519	23	20	life	life	NOUN
cieatasu-1519	23	21	cycle	cycle	NOUN
cieatasu-1519	23	22	of	of	ADP
cieatasu-1519	23	23	tasks	task	NOUN
cieatasu-1519	23	24	(	(	PUNCT
cieatasu-1519	23	25	namiki	namiki	PROPN
cieatasu-1519	23	26	&	&	CCONJ
cieatasu-1519	23	27	shimizu	shimizu	PROPN
cieatasu-1519	23	28	,	,	PUNCT
cieatasu-1519	23	29	2012	2012	NUM
cieatasu-1519	23	30	)	)	PUNCT
cieatasu-1519	23	31	,	,	PUNCT
cieatasu-1519	23	32	and	and	CCONJ
cieatasu-1519	23	33	professional	professional	ADJ
cieatasu-1519	23	34	noticing	noticing	NOUN
cieatasu-1519	23	35	of	of	ADP
cieatasu-1519	23	36	children	child	NOUN
cieatasu-1519	23	37	’s	’s	PART
cieatasu-1519	23	38	mathematical	mathematical	ADJ
cieatasu-1519	23	39	thinking	thinking	NOUN
cieatasu-1519	23	40	(	(	PUNCT
cieatasu-1519	23	41	jacobs	jacobs	PROPN
cieatasu-1519	23	42	,	,	PUNCT
cieatasu-1519	23	43	lamb	lamb	PROPN
cieatasu-1519	23	44	,	,	PUNCT
cieatasu-1519	23	45	&	&	CCONJ
cieatasu-1519	23	46	philipp	philipp	PROPN
cieatasu-1519	23	47	,	,	PUNCT
cieatasu-1519	23	48	2010	2010	NUM
cieatasu-1519	23	49	)	)	PUNCT
cieatasu-1519	23	50	.	.	PUNCT
cieatasu-1519	24	1	figure	figure	NOUN
cieatasu-1519	24	2	1	1	NUM
cieatasu-1519	24	3	.	.	PUNCT
cieatasu-1519	24	4	theoretical	theoretical	ADJ
cieatasu-1519	24	5	framework	framework	NOUN
cieatasu-1519	24	6	of	of	ADP
cieatasu-1519	24	7	the	the	DET
cieatasu-1519	24	8	study	study	NOUN
cieatasu-1519	24	9	.	.	PUNCT
cieatasu-1519	25	1	as	as	SCONJ
cieatasu-1519	25	2	seen	see	VERB
cieatasu-1519	25	3	in	in	ADP
cieatasu-1519	25	4	figure	figure	NOUN
cieatasu-1519	25	5	1	1	NUM
cieatasu-1519	25	6	,	,	PUNCT
cieatasu-1519	25	7	the	the	DET
cieatasu-1519	25	8	teacher	teacher	NOUN
cieatasu-1519	25	9	participates	participate	VERB
cieatasu-1519	25	10	in	in	ADP
cieatasu-1519	25	11	five	five	NUM
cieatasu-1519	25	12	phases	phase	NOUN
cieatasu-1519	25	13	,	,	PUNCT
cieatasu-1519	25	14	their	their	PRON
cieatasu-1519	25	15	role	role	NOUN
cieatasu-1519	25	16	transforming	transform	VERB
cieatasu-1519	25	17	from	from	ADP
cieatasu-1519	25	18	student	student	NOUN
cieatasu-1519	25	19	,	,	PUNCT
cieatasu-1519	25	20	instructor	instructor	NOUN
cieatasu-1519	25	21	,	,	PUNCT
cieatasu-1519	25	22	task	task	NOUN
cieatasu-1519	25	23	analyzer	analyzer	NOUN
cieatasu-1519	25	24	,	,	PUNCT
cieatasu-1519	25	25	to	to	ADP
cieatasu-1519	25	26	task	task	NOUN
cieatasu-1519	25	27	designer	designer	NOUN
cieatasu-1519	25	28	.	.	PUNCT
cieatasu-1519	26	1			NOUN
cieatasu-1519	26	2	phase	phase	NOUN
cieatasu-1519	26	3	1	1	NUM
cieatasu-1519	26	4	:	:	PUNCT
cieatasu-1519	26	5	initial	initial	ADJ
cieatasu-1519	26	6	participation	participation	NOUN
cieatasu-1519	26	7	;	;	PUNCT
cieatasu-1519	26	8	understanding	understand	VERB
cieatasu-1519	26	9	the	the	DET
cieatasu-1519	26	10	original	original	ADJ
cieatasu-1519	26	11	task	task	NOUN
cieatasu-1519	26	12	:	:	PUNCT
cieatasu-1519	26	13	in	in	ADP
cieatasu-1519	26	14	this	this	DET
cieatasu-1519	26	15	phase	phase	NOUN
cieatasu-1519	26	16	,	,	PUNCT
cieatasu-1519	26	17	participating	participate	VERB
cieatasu-1519	26	18	teachers	teacher	NOUN
cieatasu-1519	26	19	interpret	interpret	VERB
cieatasu-1519	26	20	the	the	DET
cieatasu-1519	26	21	intention	intention	NOUN
cieatasu-1519	26	22	of	of	ADP
cieatasu-1519	26	23	the	the	DET
cieatasu-1519	26	24	original	original	ADJ
cieatasu-1519	26	25	task	task	NOUN
cieatasu-1519	26	26	and	and	CCONJ
cieatasu-1519	26	27	predict	predict	VERB
cieatasu-1519	26	28	multiple	multiple	ADJ
cieatasu-1519	26	29	solution	solution	NOUN
cieatasu-1519	26	30	strategies	strategy	NOUN
cieatasu-1519	26	31	that	that	PRON
cieatasu-1519	26	32	students	student	NOUN
cieatasu-1519	26	33	might	might	AUX
cieatasu-1519	26	34	use	use	VERB
cieatasu-1519	26	35	.	.	PUNCT
cieatasu-1519	27	1	for	for	ADP
cieatasu-1519	27	2	teacher	teacher	NOUN
cieatasu-1519	27	3	educators	educator	NOUN
cieatasu-1519	27	4	,	,	PUNCT
cieatasu-1519	27	5	this	this	DET
cieatasu-1519	27	6	phase	phase	NOUN
cieatasu-1519	27	7	may	may	AUX
cieatasu-1519	27	8	be	be	AUX
cieatasu-1519	27	9	used	use	VERB
cieatasu-1519	27	10	to	to	PART
cieatasu-1519	27	11	evaluate	evaluate	VERB
cieatasu-1519	27	12	a	a	DET
cieatasu-1519	27	13	teacher	teacher	NOUN
cieatasu-1519	27	14	’s	’s	PART
cieatasu-1519	27	15	content	content	NOUN
cieatasu-1519	27	16	knowledge	knowledge	NOUN
cieatasu-1519	27	17	and	and	CCONJ
cieatasu-1519	27	18	develop	develop	VERB
cieatasu-1519	27	19	an	an	DET
cieatasu-1519	27	20	appropriate	appropriate	ADJ
cieatasu-1519	27	21	pd	pd	NOUN
cieatasu-1519	27	22	plan	plan	NOUN
cieatasu-1519	27	23	to	to	PART
cieatasu-1519	27	24	deepen	deepen	VERB
cieatasu-1519	27	25	it	it	PRON
cieatasu-1519	27	26	.	.	PUNCT
cieatasu-1519	28	1	lee	lee	PROPN
cieatasu-1519	28	2	&	&	CCONJ
cieatasu-1519	28	3	özgün	özgün	PROPN
cieatasu-1519	28	4	-	-	PUNCT
cieatasu-1519	28	5	koca	koca	NOUN
cieatasu-1519	28	6	:	:	PUNCT
cieatasu-1519	28	7	professional	professional	ADJ
cieatasu-1519	28	8	development	development	NOUN
cieatasu-1519	28	9	for	for	ADP
cieatasu-1519	28	10	mathematics	mathematics	NOUN
cieatasu-1519	28	11	teachers	teacher	NOUN
cieatasu-1519	28	12	:	:	PUNCT
cieatasu-1519	28	13	using	use	VERB
cieatasu-1519	28	14	task	task	NOUN
cieatasu-1519	28	15	design	design	NOUN
cieatasu-1519	28	16	and	and	CCONJ
cieatasu-1519	28	17	analysis	analysis	NOUN
cieatasu-1519	28	18	current	current	ADJ
cieatasu-1519	28	19	issues	issue	NOUN
cieatasu-1519	28	20	in	in	ADP
cieatasu-1519	28	21	education	education	NOUN
cieatasu-1519	28	22	,	,	PUNCT
cieatasu-1519	28	23	19(2	19(2	NUM
cieatasu-1519	28	24	)	)	PUNCT
cieatasu-1519	28	25	3	3	NUM
cieatasu-1519	28	26			NOUN
cieatasu-1519	28	27	phase	phase	NOUN
cieatasu-1519	28	28	2	2	NUM
cieatasu-1519	28	29	:	:	PUNCT
cieatasu-1519	28	30	setting	set	VERB
cieatasu-1519	28	31	up	up	ADP
cieatasu-1519	28	32	a	a	DET
cieatasu-1519	28	33	task	task	NOUN
cieatasu-1519	28	34	:	:	PUNCT
cieatasu-1519	28	35	this	this	PRON
cieatasu-1519	28	36	is	be	AUX
cieatasu-1519	28	37	an	an	DET
cieatasu-1519	28	38	onsite	onsite	ADJ
cieatasu-1519	28	39	activity	activity	NOUN
cieatasu-1519	28	40	lead	lead	NOUN
cieatasu-1519	28	41	by	by	ADP
cieatasu-1519	28	42	teachers	teacher	NOUN
cieatasu-1519	28	43	.	.	PUNCT
cieatasu-1519	29	1	in	in	ADP
cieatasu-1519	29	2	this	this	DET
cieatasu-1519	29	3	phase	phase	NOUN
cieatasu-1519	29	4	,	,	PUNCT
cieatasu-1519	29	5	teachers	teacher	NOUN
cieatasu-1519	29	6	collect	collect	VERB
cieatasu-1519	29	7	students	student	NOUN
cieatasu-1519	29	8	’	’	PART
cieatasu-1519	29	9	solutions	solution	NOUN
cieatasu-1519	29	10	and	and	CCONJ
cieatasu-1519	29	11	“	"	PUNCT
cieatasu-1519	29	12	encourage	encourage	VERB
cieatasu-1519	29	13	students	student	NOUN
cieatasu-1519	29	14	to	to	PART
cieatasu-1519	29	15	use	use	VERB
cieatasu-1519	29	16	more	more	ADJ
cieatasu-1519	29	17	than	than	ADP
cieatasu-1519	29	18	one	one	NUM
cieatasu-1519	29	19	strategy	strategy	NOUN
cieatasu-1519	29	20	,	,	PUNCT
cieatasu-1519	29	21	to	to	PART
cieatasu-1519	29	22	use	use	VERB
cieatasu-1519	29	23	multiple	multiple	ADJ
cieatasu-1519	29	24	representations	representation	NOUN
cieatasu-1519	29	25	,	,	PUNCT
cieatasu-1519	29	26	and	and	CCONJ
cieatasu-1519	29	27	to	to	PART
cieatasu-1519	29	28	supply	supply	VERB
cieatasu-1519	29	29	explanations	explanation	NOUN
cieatasu-1519	29	30	and	and	CCONJ
cieatasu-1519	29	31	justifications	justification	NOUN
cieatasu-1519	29	32	.	.	PUNCT
cieatasu-1519	29	33	”	"	PUNCT
cieatasu-1519	30	1	(	(	PUNCT
cieatasu-1519	30	2	henningsen	henningsen	PROPN
cieatasu-1519	30	3	&	&	CCONJ
cieatasu-1519	30	4	stein	stein	PROPN
cieatasu-1519	30	5	,	,	PUNCT
cieatasu-1519	30	6	1997	1997	NUM
cieatasu-1519	30	7	,	,	PUNCT
cieatasu-1519	30	8	p.	p.	NOUN
cieatasu-1519	30	9	529	529	NUM
cieatasu-1519	30	10	)	)	PUNCT
cieatasu-1519	30	11			NOUN
cieatasu-1519	30	12	phase	phase	NOUN
cieatasu-1519	30	13	3	3	NUM
cieatasu-1519	30	14	:	:	PUNCT
cieatasu-1519	30	15	becoming	become	VERB
cieatasu-1519	30	16	aware	aware	ADJ
cieatasu-1519	30	17	of	of	ADP
cieatasu-1519	30	18	student	student	NOUN
cieatasu-1519	30	19	strategies	strategy	NOUN
cieatasu-1519	30	20	:	:	PUNCT
cieatasu-1519	30	21	teachers	teacher	NOUN
cieatasu-1519	30	22	analyze	analyze	VERB
cieatasu-1519	30	23	students	student	NOUN
cieatasu-1519	30	24	’	'	PUNCT
cieatasu-1519	30	25	solution	solution	NOUN
cieatasu-1519	30	26	strategies	strategy	NOUN
cieatasu-1519	30	27	and	and	CCONJ
cieatasu-1519	30	28	develop	develop	VERB
cieatasu-1519	30	29	an	an	DET
cieatasu-1519	30	30	understanding	understanding	NOUN
cieatasu-1519	30	31	of	of	ADP
cieatasu-1519	30	32	students	student	NOUN
cieatasu-1519	30	33	’	’	PART
cieatasu-1519	30	34	cognitive	cognitive	ADJ
cieatasu-1519	30	35	activity	activity	NOUN
cieatasu-1519	30	36	.	.	PUNCT
cieatasu-1519	31	1	teachers	teacher	NOUN
cieatasu-1519	31	2	might	might	AUX
cieatasu-1519	31	3	use	use	VERB
cieatasu-1519	31	4	a	a	DET
cieatasu-1519	31	5	commercially	commercially	ADV
cieatasu-1519	31	6	designed	design	VERB
cieatasu-1519	31	7	rubric	rubric	ADJ
cieatasu-1519	31	8	or	or	CCONJ
cieatasu-1519	31	9	a	a	DET
cieatasu-1519	31	10	self	self	NOUN
cieatasu-1519	31	11	-	-	PUNCT
cieatasu-1519	31	12	designed	design	VERB
cieatasu-1519	31	13	rubric	rubric	NOUN
cieatasu-1519	31	14	to	to	PART
cieatasu-1519	31	15	create	create	VERB
cieatasu-1519	31	16	an	an	DET
cieatasu-1519	31	17	official	official	ADJ
cieatasu-1519	31	18	report	report	NOUN
cieatasu-1519	31	19	of	of	ADP
cieatasu-1519	31	20	student	student	NOUN
cieatasu-1519	31	21	work	work	NOUN
cieatasu-1519	31	22	.	.	PUNCT
cieatasu-1519	32	1	for	for	ADP
cieatasu-1519	32	2	the	the	DET
cieatasu-1519	32	3	purpose	purpose	NOUN
cieatasu-1519	32	4	of	of	ADP
cieatasu-1519	32	5	the	the	DET
cieatasu-1519	32	6	pd	pd	PROPN
cieatasu-1519	32	7	,	,	PUNCT
cieatasu-1519	32	8	teachers	teacher	NOUN
cieatasu-1519	32	9	share	share	VERB
cieatasu-1519	32	10	sample	sample	NOUN
cieatasu-1519	32	11	student	student	NOUN
cieatasu-1519	32	12	solutions	solution	NOUN
cieatasu-1519	32	13	and	and	CCONJ
cieatasu-1519	32	14	their	their	PRON
cieatasu-1519	32	15	analyses	analysis	NOUN
cieatasu-1519	32	16	of	of	ADP
cieatasu-1519	32	17	the	the	DET
cieatasu-1519	32	18	solutions	solution	NOUN
cieatasu-1519	32	19	with	with	ADP
cieatasu-1519	32	20	other	other	ADJ
cieatasu-1519	32	21	teachers	teacher	NOUN
cieatasu-1519	32	22	.	.	PUNCT
cieatasu-1519	33	1	comparing	compare	VERB
cieatasu-1519	33	2	students	student	NOUN
cieatasu-1519	33	3	’	'	PUNCT
cieatasu-1519	33	4	solutions	solution	NOUN
cieatasu-1519	33	5	from	from	ADP
cieatasu-1519	33	6	different	different	ADJ
cieatasu-1519	33	7	grade	grade	NOUN
cieatasu-1519	33	8	levels	level	NOUN
cieatasu-1519	33	9	and	and	CCONJ
cieatasu-1519	33	10	different	different	ADJ
cieatasu-1519	33	11	demographics	demographic	NOUN
cieatasu-1519	33	12	can	can	AUX
cieatasu-1519	33	13	expand	expand	VERB
cieatasu-1519	33	14	a	a	DET
cieatasu-1519	33	15	teacher	teacher	NOUN
cieatasu-1519	33	16	’s	’s	PART
cieatasu-1519	33	17	understanding	understanding	NOUN
cieatasu-1519	33	18	of	of	ADP
cieatasu-1519	33	19	a	a	DET
cieatasu-1519	33	20	student	student	NOUN
cieatasu-1519	33	21	’s	’s	PART
cieatasu-1519	33	22	learning	learn	VERB
cieatasu-1519	33	23	progress	progress	NOUN
cieatasu-1519	33	24	,	,	PUNCT
cieatasu-1519	33	25	as	as	ADV
cieatasu-1519	33	26	well	well	ADV
cieatasu-1519	33	27	as	as	ADP
cieatasu-1519	33	28	possible	possible	ADJ
cieatasu-1519	33	29	factors	factor	NOUN
cieatasu-1519	33	30	that	that	PRON
cieatasu-1519	33	31	impact	impact	VERB
cieatasu-1519	33	32	the	the	DET
cieatasu-1519	33	33	student	student	NOUN
cieatasu-1519	33	34	’s	’s	PART
cieatasu-1519	33	35	cognitive	cognitive	ADJ
cieatasu-1519	33	36	process	process	NOUN
cieatasu-1519	33	37	.	.	PUNCT
cieatasu-1519	34	1			NOUN
cieatasu-1519	34	2	phase	phase	NOUN
cieatasu-1519	34	3	4	4	NUM
cieatasu-1519	34	4	:	:	PUNCT
cieatasu-1519	34	5	eliciting	elicit	VERB
cieatasu-1519	34	6	student	student	NOUN
cieatasu-1519	34	7	ideas	idea	NOUN
cieatasu-1519	34	8	:	:	PUNCT
cieatasu-1519	34	9	in	in	ADP
cieatasu-1519	34	10	this	this	DET
cieatasu-1519	34	11	phase	phase	NOUN
cieatasu-1519	34	12	,	,	PUNCT
cieatasu-1519	34	13	teachers	teacher	NOUN
cieatasu-1519	34	14	develop	develop	VERB
cieatasu-1519	34	15	appropriate	appropriate	ADJ
cieatasu-1519	34	16	questions	question	NOUN
cieatasu-1519	34	17	for	for	ADP
cieatasu-1519	34	18	each	each	DET
cieatasu-1519	34	19	student	student	NOUN
cieatasu-1519	34	20	in	in	ADP
cieatasu-1519	34	21	order	order	NOUN
cieatasu-1519	34	22	to	to	PART
cieatasu-1519	34	23	respond	respond	VERB
cieatasu-1519	34	24	to	to	ADP
cieatasu-1519	34	25	the	the	DET
cieatasu-1519	34	26	student	student	NOUN
cieatasu-1519	34	27	’s	’s	PART
cieatasu-1519	34	28	needs	need	NOUN
cieatasu-1519	34	29	and	and	CCONJ
cieatasu-1519	34	30	to	to	PART
cieatasu-1519	34	31	improve	improve	VERB
cieatasu-1519	34	32	their	their	PRON
cieatasu-1519	34	33	learning	learning	NOUN
cieatasu-1519	34	34	outcomes	outcome	NOUN
cieatasu-1519	34	35	.	.	PUNCT
cieatasu-1519	35	1	as	as	ADP
cieatasu-1519	35	2	part	part	NOUN
cieatasu-1519	35	3	of	of	ADP
cieatasu-1519	35	4	the	the	DET
cieatasu-1519	35	5	pd	pd	PROPN
cieatasu-1519	35	6	,	,	PUNCT
cieatasu-1519	35	7	teachers	teacher	NOUN
cieatasu-1519	35	8	can	can	AUX
cieatasu-1519	35	9	follow	follow	VERB
cieatasu-1519	35	10	up	up	ADP
cieatasu-1519	35	11	on	on	ADP
cieatasu-1519	35	12	each	each	DET
cieatasu-1519	35	13	student	student	NOUN
cieatasu-1519	35	14	’s	’s	PART
cieatasu-1519	35	15	solutions	solution	NOUN
cieatasu-1519	35	16	by	by	ADP
cieatasu-1519	35	17	posing	pose	VERB
cieatasu-1519	35	18	several	several	ADJ
cieatasu-1519	35	19	thought	thought	NOUN
cieatasu-1519	35	20	-	-	PUNCT
cieatasu-1519	35	21	provoking	provoke	VERB
cieatasu-1519	35	22	questions	question	NOUN
cieatasu-1519	35	23	.	.	PUNCT
cieatasu-1519	36	1	these	these	DET
cieatasu-1519	36	2	questions	question	NOUN
cieatasu-1519	36	3	should	should	AUX
cieatasu-1519	36	4	aim	aim	VERB
cieatasu-1519	36	5	to	to	PART
cieatasu-1519	36	6	enhance	enhance	VERB
cieatasu-1519	36	7	the	the	DET
cieatasu-1519	36	8	student	student	NOUN
cieatasu-1519	36	9	’s	’s	PART
cieatasu-1519	36	10	understanding	understanding	NOUN
cieatasu-1519	36	11	of	of	ADP
cieatasu-1519	36	12	the	the	DET
cieatasu-1519	36	13	mathematical	mathematical	ADJ
cieatasu-1519	36	14	concept	concept	NOUN
cieatasu-1519	36	15	presented	present	VERB
cieatasu-1519	36	16	in	in	ADP
cieatasu-1519	36	17	the	the	DET
cieatasu-1519	36	18	task	task	NOUN
cieatasu-1519	36	19	,	,	PUNCT
cieatasu-1519	36	20	to	to	PART
cieatasu-1519	36	21	encourage	encourage	VERB
cieatasu-1519	36	22	the	the	DET
cieatasu-1519	36	23	student	student	NOUN
cieatasu-1519	36	24	to	to	PART
cieatasu-1519	36	25	examine	examine	VERB
cieatasu-1519	36	26	their	their	PRON
cieatasu-1519	36	27	own	own	ADJ
cieatasu-1519	36	28	cognitive	cognitive	ADJ
cieatasu-1519	36	29	process	process	NOUN
cieatasu-1519	36	30	,	,	PUNCT
cieatasu-1519	36	31	to	to	PART
cieatasu-1519	36	32	provoke	provoke	VERB
cieatasu-1519	36	33	higher	high	ADJ
cieatasu-1519	36	34	level	level	NOUN
cieatasu-1519	36	35	thinking	thinking	NOUN
cieatasu-1519	36	36	,	,	PUNCT
cieatasu-1519	36	37	and	and	CCONJ
cieatasu-1519	36	38	,	,	PUNCT
cieatasu-1519	36	39	eventually	eventually	ADV
cieatasu-1519	36	40	,	,	PUNCT
cieatasu-1519	36	41	to	to	PART
cieatasu-1519	36	42	improve	improve	VERB
cieatasu-1519	36	43	the	the	DET
cieatasu-1519	36	44	student	student	NOUN
cieatasu-1519	36	45	’s	’s	PART
cieatasu-1519	36	46	learning	learn	VERB
cieatasu-1519	36	47	outcomes	outcome	NOUN
cieatasu-1519	36	48	.	.	PUNCT
cieatasu-1519	37	1			NOUN
cieatasu-1519	37	2	phase	phase	NOUN
cieatasu-1519	37	3	5	5	NUM
cieatasu-1519	37	4	:	:	PUNCT
cieatasu-1519	37	5	developing	develop	VERB
cieatasu-1519	37	6	an	an	DET
cieatasu-1519	37	7	instructional	instructional	ADJ
cieatasu-1519	37	8	trajectory	trajectory	NOUN
cieatasu-1519	37	9	:	:	PUNCT
cieatasu-1519	37	10	this	this	DET
cieatasu-1519	37	11	final	final	ADJ
cieatasu-1519	37	12	phase	phase	NOUN
cieatasu-1519	37	13	is	be	AUX
cieatasu-1519	37	14	also	also	ADV
cieatasu-1519	37	15	the	the	DET
cieatasu-1519	37	16	beginning	beginning	NOUN
cieatasu-1519	37	17	of	of	ADP
cieatasu-1519	37	18	a	a	DET
cieatasu-1519	37	19	new	new	ADJ
cieatasu-1519	37	20	task	task	NOUN
cieatasu-1519	37	21	design	design	NOUN
cieatasu-1519	37	22	and	and	CCONJ
cieatasu-1519	37	23	analysis	analysis	NOUN
cieatasu-1519	37	24	cycle	cycle	NOUN
cieatasu-1519	37	25	.	.	PUNCT
cieatasu-1519	38	1	teachers	teacher	NOUN
cieatasu-1519	38	2	in	in	ADP
cieatasu-1519	38	3	this	this	DET
cieatasu-1519	38	4	phase	phase	NOUN
cieatasu-1519	38	5	reflect	reflect	VERB
cieatasu-1519	38	6	individually	individually	ADV
cieatasu-1519	38	7	on	on	ADP
cieatasu-1519	38	8	the	the	DET
cieatasu-1519	38	9	entire	entire	ADJ
cieatasu-1519	38	10	cycle	cycle	NOUN
cieatasu-1519	38	11	of	of	ADP
cieatasu-1519	38	12	the	the	DET
cieatasu-1519	38	13	task	task	NOUN
cieatasu-1519	38	14	design	design	NOUN
cieatasu-1519	38	15	and	and	CCONJ
cieatasu-1519	38	16	analysis	analysis	NOUN
cieatasu-1519	38	17	activity	activity	NOUN
cieatasu-1519	38	18	.	.	PUNCT
cieatasu-1519	39	1	they	they	PRON
cieatasu-1519	39	2	revise	revise	VERB
cieatasu-1519	39	3	the	the	DET
cieatasu-1519	39	4	original	original	ADJ
cieatasu-1519	39	5	task	task	NOUN
cieatasu-1519	39	6	to	to	PART
cieatasu-1519	39	7	better	well	ADV
cieatasu-1519	39	8	respond	respond	VERB
cieatasu-1519	39	9	to	to	ADP
cieatasu-1519	39	10	their	their	PRON
cieatasu-1519	39	11	students	student	NOUN
cieatasu-1519	39	12	’	'	PUNCT
cieatasu-1519	39	13	needs	need	NOUN
cieatasu-1519	39	14	and	and	CCONJ
cieatasu-1519	39	15	improve	improve	VERB
cieatasu-1519	39	16	their	their	PRON
cieatasu-1519	39	17	readiness	readiness	NOUN
cieatasu-1519	39	18	.	.	PUNCT
cieatasu-1519	40	1	jacobs	jacobs	PROPN
cieatasu-1519	40	2	et	et	PROPN
cieatasu-1519	40	3	al	al	PROPN
cieatasu-1519	40	4	.	.	PROPN
cieatasu-1519	41	1	(	(	PUNCT
cieatasu-1519	41	2	2010	2010	NUM
cieatasu-1519	41	3	)	)	PUNCT
cieatasu-1519	41	4	introduced	introduce	VERB
cieatasu-1519	41	5	a	a	DET
cieatasu-1519	41	6	framework	framework	NOUN
cieatasu-1519	41	7	named	name	VERB
cieatasu-1519	41	8	professional	professional	ADJ
cieatasu-1519	41	9	noticing	noticing	NOUN
cieatasu-1519	41	10	of	of	ADP
cieatasu-1519	41	11	children	child	NOUN
cieatasu-1519	41	12	’s	’s	PART
cieatasu-1519	41	13	mathematical	mathematical	ADJ
cieatasu-1519	41	14	thinking	thinking	NOUN
cieatasu-1519	41	15	,	,	PUNCT
cieatasu-1519	41	16	which	which	PRON
cieatasu-1519	41	17	concentrates	concentrate	VERB
cieatasu-1519	41	18	on	on	ADP
cieatasu-1519	41	19	the	the	DET
cieatasu-1519	41	20	interweaving	interweaving	NOUN
cieatasu-1519	41	21	and	and	CCONJ
cieatasu-1519	41	22	interacting	interact	VERB
cieatasu-1519	41	23	skills	skill	NOUN
cieatasu-1519	41	24	of	of	ADP
cieatasu-1519	41	25	:	:	PUNCT
cieatasu-1519	41	26	(	(	PUNCT
cieatasu-1519	41	27	a	a	X
cieatasu-1519	41	28	)	)	PUNCT
cieatasu-1519	41	29	attending	attend	VERB
cieatasu-1519	41	30	to	to	ADP
cieatasu-1519	41	31	children	child	NOUN
cieatasu-1519	41	32	's	's	PART
cieatasu-1519	41	33	strategies	strategy	NOUN
cieatasu-1519	41	34	,	,	PUNCT
cieatasu-1519	41	35	(	(	PUNCT
cieatasu-1519	41	36	b	b	NOUN
cieatasu-1519	41	37	)	)	PUNCT
cieatasu-1519	41	38	interpreting	interpret	VERB
cieatasu-1519	41	39	children	child	NOUN
cieatasu-1519	41	40	's	's	PART
cieatasu-1519	41	41	understandings	understanding	NOUN
cieatasu-1519	41	42	,	,	PUNCT
cieatasu-1519	41	43	and	and	CCONJ
cieatasu-1519	41	44	(	(	PUNCT
cieatasu-1519	41	45	c	c	X
cieatasu-1519	41	46	)	)	PUNCT
cieatasu-1519	41	47	deciding	decide	VERB
cieatasu-1519	41	48	how	how	SCONJ
cieatasu-1519	41	49	to	to	PART
cieatasu-1519	41	50	respond	respond	VERB
cieatasu-1519	41	51	on	on	ADP
cieatasu-1519	41	52	the	the	DET
cieatasu-1519	41	53	basis	basis	NOUN
cieatasu-1519	41	54	of	of	ADP
cieatasu-1519	41	55	children	child	NOUN
cieatasu-1519	41	56	's	's	PART
cieatasu-1519	41	57	understandings	understanding	NOUN
cieatasu-1519	41	58	.	.	PUNCT
cieatasu-1519	42	1	our	our	PRON
cieatasu-1519	42	2	becoming	become	VERB
cieatasu-1519	42	3	aware	aware	ADJ
cieatasu-1519	42	4	of	of	ADP
cieatasu-1519	42	5	student	student	NOUN
cieatasu-1519	42	6	strategies	strategy	NOUN
cieatasu-1519	42	7	and	and	CCONJ
cieatasu-1519	42	8	eliciting	elicit	VERB
cieatasu-1519	42	9	the	the	DET
cieatasu-1519	42	10	phases	phase	NOUN
cieatasu-1519	42	11	of	of	ADP
cieatasu-1519	42	12	the	the	DET
cieatasu-1519	42	13	strategies	strategy	NOUN
cieatasu-1519	42	14	agree	agree	VERB
cieatasu-1519	42	15	with	with	ADP
cieatasu-1519	42	16	the	the	DET
cieatasu-1519	42	17	first	first	ADJ
cieatasu-1519	42	18	two	two	NUM
cieatasu-1519	42	19	skills	skill	NOUN
cieatasu-1519	42	20	of	of	ADP
cieatasu-1519	42	21	the	the	DET
cieatasu-1519	42	22	noticing	notice	VERB
cieatasu-1519	42	23	model	model	NOUN
cieatasu-1519	42	24	.	.	PUNCT
cieatasu-1519	43	1	as	as	ADP
cieatasu-1519	43	2	in	in	ADP
cieatasu-1519	43	3	the	the	DET
cieatasu-1519	43	4	community	community	NOUN
cieatasu-1519	43	5	of	of	ADP
cieatasu-1519	43	6	practice	practice	NOUN
cieatasu-1519	43	7	framework	framework	NOUN
cieatasu-1519	43	8	(	(	PUNCT
cieatasu-1519	43	9	heinze	heinze	PROPN
cieatasu-1519	43	10	&	&	CCONJ
cieatasu-1519	43	11	procter	procter	PROPN
cieatasu-1519	43	12	,	,	PUNCT
cieatasu-1519	43	13	2004	2004	NUM
cieatasu-1519	43	14	;	;	PUNCT
cieatasu-1519	43	15	kahan	kahan	PROPN
cieatasu-1519	43	16	,	,	PUNCT
cieatasu-1519	43	17	2004	2004	NUM
cieatasu-1519	43	18	)	)	PUNCT
cieatasu-1519	43	19	,	,	PUNCT
cieatasu-1519	43	20	communication	communication	NOUN
cieatasu-1519	43	21	and	and	CCONJ
cieatasu-1519	43	22	interaction	interaction	NOUN
cieatasu-1519	43	23	among	among	ADP
cieatasu-1519	43	24	teachers	teacher	NOUN
cieatasu-1519	43	25	are	be	AUX
cieatasu-1519	43	26	critical	critical	ADJ
cieatasu-1519	43	27	in	in	ADP
cieatasu-1519	43	28	this	this	DET
cieatasu-1519	43	29	model	model	NOUN
cieatasu-1519	43	30	.	.	PUNCT
cieatasu-1519	44	1	in	in	ADP
cieatasu-1519	44	2	both	both	DET
cieatasu-1519	44	3	frameworks	framework	NOUN
cieatasu-1519	44	4	,	,	PUNCT
cieatasu-1519	44	5	the	the	DET
cieatasu-1519	44	6	final	final	ADJ
cieatasu-1519	44	7	phase	phase	NOUN
cieatasu-1519	44	8	is	be	AUX
cieatasu-1519	44	9	devoted	devote	VERB
cieatasu-1519	44	10	to	to	ADP
cieatasu-1519	44	11	formulating	formulate	VERB
cieatasu-1519	44	12	a	a	DET
cieatasu-1519	44	13	response	response	NOUN
cieatasu-1519	44	14	and/or	and/or	CCONJ
cieatasu-1519	44	15	reaction	reaction	NOUN
cieatasu-1519	44	16	as	as	ADP
cieatasu-1519	44	17	a	a	DET
cieatasu-1519	44	18	result	result	NOUN
cieatasu-1519	44	19	of	of	ADP
cieatasu-1519	44	20	the	the	DET
cieatasu-1519	44	21	analysis	analysis	NOUN
cieatasu-1519	44	22	of	of	ADP
cieatasu-1519	44	23	student	student	NOUN
cieatasu-1519	44	24	understanding	understanding	NOUN
cieatasu-1519	44	25	and	and	CCONJ
cieatasu-1519	44	26	thinking	thinking	NOUN
cieatasu-1519	44	27	.	.	PUNCT
cieatasu-1519	45	1	each	each	DET
cieatasu-1519	45	2	phase	phase	NOUN
cieatasu-1519	45	3	should	should	AUX
cieatasu-1519	45	4	be	be	AUX
cieatasu-1519	45	5	followed	follow	VERB
cieatasu-1519	45	6	by	by	ADP
cieatasu-1519	45	7	an	an	DET
cieatasu-1519	45	8	exchange	exchange	NOUN
cieatasu-1519	45	9	of	of	ADP
cieatasu-1519	45	10	ideas	idea	NOUN
cieatasu-1519	45	11	and	and	CCONJ
cieatasu-1519	45	12	in	in	ADP
cieatasu-1519	45	13	-	-	PUNCT
cieatasu-1519	45	14	depth	depth	NOUN
cieatasu-1519	45	15	reflective	reflective	ADJ
cieatasu-1519	45	16	discussion	discussion	NOUN
cieatasu-1519	45	17	for	for	ADP
cieatasu-1519	45	18	collective	collective	ADJ
cieatasu-1519	45	19	inquiry	inquiry	NOUN
cieatasu-1519	45	20	(	(	PUNCT
cieatasu-1519	45	21	kazemi	kazemi	PROPN
cieatasu-1519	45	22	&	&	CCONJ
cieatasu-1519	45	23	franke	franke	PROPN
cieatasu-1519	45	24	,	,	PUNCT
cieatasu-1519	45	25	2004	2004	NUM
cieatasu-1519	45	26	)	)	PUNCT
cieatasu-1519	45	27	.	.	PUNCT
cieatasu-1519	46	1	methods	method	NOUN
cieatasu-1519	46	2	this	this	DET
cieatasu-1519	46	3	study	study	NOUN
cieatasu-1519	46	4	was	be	AUX
cieatasu-1519	46	5	part	part	NOUN
cieatasu-1519	46	6	of	of	ADP
cieatasu-1519	46	7	a	a	DET
cieatasu-1519	46	8	year	year	NOUN
cieatasu-1519	46	9	-	-	PUNCT
cieatasu-1519	46	10	long	long	ADJ
cieatasu-1519	46	11	professional	professional	ADJ
cieatasu-1519	46	12	development	development	NOUN
cieatasu-1519	46	13	program	program	NOUN
cieatasu-1519	46	14	funded	fund	VERB
cieatasu-1519	46	15	by	by	ADP
cieatasu-1519	46	16	the	the	DET
cieatasu-1519	46	17	improving	improve	VERB
cieatasu-1519	46	18	teacher	teacher	NOUN
cieatasu-1519	46	19	quality	quality	NOUN
cieatasu-1519	46	20	program	program	NOUN
cieatasu-1519	46	21	.	.	PUNCT
cieatasu-1519	47	1	the	the	DET
cieatasu-1519	47	2	main	main	ADJ
cieatasu-1519	47	3	content	content	NOUN
cieatasu-1519	47	4	foci	focus	NOUN
cieatasu-1519	47	5	of	of	ADP
cieatasu-1519	47	6	this	this	DET
cieatasu-1519	47	7	externally	externally	ADV
cieatasu-1519	47	8	funded	fund	VERB
cieatasu-1519	47	9	pd	pd	PROPN
cieatasu-1519	47	10	were	be	AUX
cieatasu-1519	47	11	“	"	PUNCT
cieatasu-1519	47	12	number	number	NOUN
cieatasu-1519	47	13	sense	sense	NOUN
cieatasu-1519	47	14	and	and	CCONJ
cieatasu-1519	47	15	operations	operation	NOUN
cieatasu-1519	47	16	”	"	PUNCT
cieatasu-1519	47	17	and	and	CCONJ
cieatasu-1519	47	18	“	"	PUNCT
cieatasu-1519	47	19	algebra	algebra	NOUN
cieatasu-1519	47	20	”	"	PUNCT
cieatasu-1519	47	21	.	.	PUNCT
cieatasu-1519	48	1	the	the	DET
cieatasu-1519	48	2	pd	pd	PROPN
cieatasu-1519	48	3	program	program	NOUN
cieatasu-1519	48	4	was	be	AUX
cieatasu-1519	48	5	designed	design	VERB
cieatasu-1519	48	6	using	use	VERB
cieatasu-1519	48	7	a	a	DET
cieatasu-1519	48	8	hybrid	hybrid	ADJ
cieatasu-1519	48	9	model	model	NOUN
cieatasu-1519	48	10	.	.	PUNCT
cieatasu-1519	49	1	teachers	teacher	NOUN
cieatasu-1519	49	2	participated	participate	VERB
cieatasu-1519	49	3	in	in	ADP
cieatasu-1519	49	4	:	:	PUNCT
cieatasu-1519	49	5	monthly	monthly	ADJ
cieatasu-1519	49	6	face	face	NOUN
cieatasu-1519	49	7	-	-	PUNCT
cieatasu-1519	49	8	to	to	ADP
cieatasu-1519	49	9	-	-	PUNCT
cieatasu-1519	49	10	face	face	NOUN
cieatasu-1519	49	11	workshops	workshop	NOUN
cieatasu-1519	49	12	meetings	meeting	NOUN
cieatasu-1519	49	13	;	;	PUNCT
cieatasu-1519	49	14	five	five	NUM
cieatasu-1519	49	15	6	6	NUM
cieatasu-1519	49	16	-	-	PUNCT
cieatasu-1519	49	17	hour	hour	NOUN
cieatasu-1519	49	18	summer	summer	NOUN
cieatasu-1519	49	19	sessions	session	NOUN
cieatasu-1519	49	20	;	;	PUNCT
cieatasu-1519	49	21	four	four	NUM
cieatasu-1519	49	22	6	6	NUM
cieatasu-1519	49	23	-	-	PUNCT
cieatasu-1519	49	24	hour	hour	NOUN
cieatasu-1519	49	25	fall	fall	NOUN
cieatasu-1519	49	26	sessions	session	NOUN
cieatasu-1519	49	27	;	;	PUNCT
cieatasu-1519	49	28	and	and	CCONJ
cieatasu-1519	49	29	four	four	NUM
cieatasu-1519	49	30	6	6	NUM
cieatasu-1519	49	31	-	-	PUNCT
cieatasu-1519	49	32	hour	hour	NOUN
cieatasu-1519	49	33	spring	spring	NOUN
cieatasu-1519	49	34	sessions	session	NOUN
cieatasu-1519	49	35	.	.	PUNCT
cieatasu-1519	50	1	between	between	ADP
cieatasu-1519	50	2	sessions	session	NOUN
cieatasu-1519	50	3	,	,	PUNCT
cieatasu-1519	50	4	participants	participant	NOUN
cieatasu-1519	50	5	established	establish	VERB
cieatasu-1519	50	6	online	online	ADJ
cieatasu-1519	50	7	professional	professional	ADJ
cieatasu-1519	50	8	learning	learn	VERB
cieatasu-1519	50	9	communities	community	NOUN
cieatasu-1519	50	10	by	by	ADP
cieatasu-1519	50	11	communicating	communicate	VERB
cieatasu-1519	50	12	with	with	ADP
cieatasu-1519	50	13	each	each	DET
cieatasu-1519	50	14	other	other	ADJ
cieatasu-1519	50	15	and	and	CCONJ
cieatasu-1519	50	16	the	the	DET
cieatasu-1519	50	17	instructors	instructor	NOUN
cieatasu-1519	50	18	.	.	PUNCT
cieatasu-1519	51	1	these	these	DET
cieatasu-1519	51	2	virtual	virtual	ADJ
cieatasu-1519	51	3	learning	learning	NOUN
cieatasu-1519	51	4	included	include	VERB
cieatasu-1519	51	5	textbook	textbook	NOUN
cieatasu-1519	51	6	reading	read	VERB
cieatasu-1519	51	7	discussions	discussion	NOUN
cieatasu-1519	51	8	,	,	PUNCT
cieatasu-1519	51	9	implementing	implement	VERB
cieatasu-1519	51	10	student	student	NOUN
cieatasu-1519	51	11	-	-	PUNCT
cieatasu-1519	51	12	centered	center	VERB
cieatasu-1519	51	13	discovery	discovery	NOUN
cieatasu-1519	51	14	lessons	lesson	NOUN
cieatasu-1519	51	15	and	and	CCONJ
cieatasu-1519	51	16	reflecting	reflect	VERB
cieatasu-1519	51	17	on	on	ADP
cieatasu-1519	51	18	them	they	PRON
cieatasu-1519	51	19	,	,	PUNCT
cieatasu-1519	51	20	sharing	share	VERB
cieatasu-1519	51	21	instructional	instructional	ADJ
cieatasu-1519	51	22	ideas	idea	NOUN
cieatasu-1519	51	23	,	,	PUNCT
cieatasu-1519	51	24	providing	provide	VERB
cieatasu-1519	51	25	comments	comment	NOUN
cieatasu-1519	51	26	on	on	ADP
cieatasu-1519	51	27	other	other	ADJ
cieatasu-1519	51	28	participants	participant	NOUN
cieatasu-1519	51	29	’	'	PUNCT
cieatasu-1519	51	30	lessons	lesson	NOUN
cieatasu-1519	51	31	,	,	PUNCT
cieatasu-1519	51	32	watching	watch	VERB
cieatasu-1519	51	33	a	a	DET
cieatasu-1519	51	34	best	good	ADJ
cieatasu-1519	51	35	practice	practice	NOUN
cieatasu-1519	51	36	lesson	lesson	NOUN
cieatasu-1519	51	37	and	and	CCONJ
cieatasu-1519	51	38	reflecting	reflect	VERB
cieatasu-1519	51	39	on	on	ADP
cieatasu-1519	51	40	it	it	PRON
cieatasu-1519	51	41	,	,	PUNCT
cieatasu-1519	51	42	and	and	CCONJ
cieatasu-1519	51	43	reviewing	review	VERB
cieatasu-1519	51	44	and	and	CCONJ
cieatasu-1519	51	45	evaluating	evaluate	VERB
cieatasu-1519	51	46	web	web	NOUN
cieatasu-1519	51	47	-	-	PUNCT
cieatasu-1519	51	48	based	base	VERB
cieatasu-1519	51	49	mathematical	mathematical	ADJ
cieatasu-1519	51	50	instructional	instructional	ADJ
cieatasu-1519	51	51	resources	resource	NOUN
cieatasu-1519	51	52	.	.	PUNCT
cieatasu-1519	52	1	this	this	DET
cieatasu-1519	52	2	task	task	NOUN
cieatasu-1519	52	3	design	design	NOUN
cieatasu-1519	52	4	and	and	CCONJ
cieatasu-1519	52	5	analysis	analysis	NOUN
cieatasu-1519	52	6	activity	activity	NOUN
cieatasu-1519	52	7	was	be	AUX
cieatasu-1519	52	8	among	among	ADP
cieatasu-1519	52	9	several	several	ADJ
cieatasu-1519	52	10	year	year	NOUN
cieatasu-1519	52	11	-	-	PUNCT
cieatasu-1519	52	12	long	long	ADJ
cieatasu-1519	52	13	pd	pd	NOUN
cieatasu-1519	52	14	activities	activity	NOUN
cieatasu-1519	52	15	implemented	implement	VERB
cieatasu-1519	52	16	in	in	ADP
cieatasu-1519	52	17	the	the	DET
cieatasu-1519	52	18	fall	fall	NOUN
cieatasu-1519	52	19	,	,	PUNCT
cieatasu-1519	52	20	connecting	connect	VERB
cieatasu-1519	52	21	professional	professional	ADJ
cieatasu-1519	52	22	learning	learning	NOUN
cieatasu-1519	52	23	and	and	CCONJ
cieatasu-1519	52	24	practice	practice	NOUN
cieatasu-1519	52	25	.	.	PUNCT
cieatasu-1519	53	1	the	the	DET
cieatasu-1519	53	2	purpose	purpose	NOUN
cieatasu-1519	53	3	and	and	CCONJ
cieatasu-1519	53	4	detailed	detailed	ADJ
cieatasu-1519	53	5	explanation	explanation	NOUN
cieatasu-1519	53	6	of	of	ADP
cieatasu-1519	53	7	the	the	DET
cieatasu-1519	53	8	task	task	NOUN
cieatasu-1519	53	9	design	design	NOUN
cieatasu-1519	53	10	and	and	CCONJ
cieatasu-1519	53	11	analysis	analysis	NOUN
cieatasu-1519	53	12	pd	pd	NOUN
cieatasu-1519	53	13	activity	activity	NOUN
cieatasu-1519	53	14	are	be	AUX
cieatasu-1519	53	15	summarized	summarize	VERB
cieatasu-1519	53	16	in	in	ADP
cieatasu-1519	53	17	table	table	NOUN
cieatasu-1519	53	18	2	2	NUM
cieatasu-1519	53	19	.	.	NOUN
cieatasu-1519	53	20	thirty	thirty	NUM
cieatasu-1519	53	21	inlee	inlee	NOUN
cieatasu-1519	53	22	&	&	CCONJ
cieatasu-1519	53	23	özgün	özgün	NOUN
cieatasu-1519	53	24	-	-	PUNCT
cieatasu-1519	53	25	koca	koca	NOUN
cieatasu-1519	53	26	:	:	PUNCT
cieatasu-1519	53	27	professional	professional	ADJ
cieatasu-1519	53	28	development	development	NOUN
cieatasu-1519	53	29	for	for	ADP
cieatasu-1519	53	30	mathematics	mathematics	NOUN
cieatasu-1519	53	31	teachers	teacher	NOUN
cieatasu-1519	53	32	:	:	PUNCT
cieatasu-1519	53	33	using	use	VERB
cieatasu-1519	53	34	task	task	NOUN
cieatasu-1519	53	35	design	design	NOUN
cieatasu-1519	53	36	and	and	CCONJ
cieatasu-1519	53	37	analysis	analysis	NOUN
cieatasu-1519	53	38	current	current	ADJ
cieatasu-1519	53	39	issues	issue	NOUN
cieatasu-1519	53	40	in	in	ADP
cieatasu-1519	53	41	education	education	NOUN
cieatasu-1519	53	42	,	,	PUNCT
cieatasu-1519	53	43	19(2	19(2	NUM
cieatasu-1519	53	44	)	)	PUNCT
cieatasu-1519	53	45	4	4	NUM
cieatasu-1519	53	46	service	service	NOUN
cieatasu-1519	53	47	teachers	teacher	NOUN
cieatasu-1519	53	48	participated	participate	VERB
cieatasu-1519	53	49	in	in	ADP
cieatasu-1519	53	50	the	the	DET
cieatasu-1519	53	51	program	program	NOUN
cieatasu-1519	53	52	,	,	PUNCT
cieatasu-1519	53	53	and	and	CCONJ
cieatasu-1519	53	54	their	their	PRON
cieatasu-1519	53	55	demographic	demographic	ADJ
cieatasu-1519	53	56	information	information	NOUN
cieatasu-1519	53	57	is	be	AUX
cieatasu-1519	53	58	summarized	summarize	VERB
cieatasu-1519	53	59	in	in	ADP
cieatasu-1519	53	60	table	table	NOUN
cieatasu-1519	53	61	1	1	NUM
cieatasu-1519	53	62	.	.	PUNCT
cieatasu-1519	53	63	table	table	NOUN
cieatasu-1519	53	64	1	1	NUM
cieatasu-1519	53	65	demographic	demographic	ADJ
cieatasu-1519	53	66	information	information	NOUN
cieatasu-1519	53	67	of	of	ADP
cieatasu-1519	53	68	participants	participant	NOUN
cieatasu-1519	53	69	(	(	PUNCT
cieatasu-1519	53	70	n=30	n=30	NOUN
cieatasu-1519	53	71	)	)	PUNCT
cieatasu-1519	53	72	n	n	CCONJ
cieatasu-1519	53	73	gender	gender	NOUN
cieatasu-1519	53	74	female	female	ADJ
cieatasu-1519	53	75	28	28	NUM
cieatasu-1519	53	76	male	male	ADJ
cieatasu-1519	53	77	2	2	NUM
cieatasu-1519	53	78	race	race	NOUN
cieatasu-1519	53	79	/	/	SYM
cieatasu-1519	53	80	ethnicity	ethnicity	NOUN
cieatasu-1519	53	81	white	white	ADJ
cieatasu-1519	53	82	,	,	PUNCT
cieatasu-1519	53	83	non	non	ADJ
cieatasu-1519	53	84	-	-	ADJ
cieatasu-1519	53	85	hispanic	hispanic	ADJ
cieatasu-1519	53	86	30	30	NUM
cieatasu-1519	53	87	position	position	NOUN
cieatasu-1519	53	88	teacher	teacher	NOUN
cieatasu-1519	53	89	20	20	NUM
cieatasu-1519	53	90	special	special	ADJ
cieatasu-1519	53	91	education	education	NOUN
cieatasu-1519	53	92	,	,	PUNCT
cieatasu-1519	53	93	resource	resource	NOUN
cieatasu-1519	53	94	or	or	CCONJ
cieatasu-1519	53	95	inclusion	inclusion	NOUN
cieatasu-1519	53	96	teacher	teacher	NOUN
cieatasu-1519	53	97	7	7	NUM
cieatasu-1519	53	98	building	building	NOUN
cieatasu-1519	53	99	coach	coach	NOUN
cieatasu-1519	53	100	3	3	NUM
cieatasu-1519	53	101	grade	grade	NOUN
cieatasu-1519	53	102	level	level	NOUN
cieatasu-1519	53	103	taught	teach	VERB
cieatasu-1519	53	104	primary	primary	NOUN
cieatasu-1519	53	105	(	(	PUNCT
cieatasu-1519	53	106	k-3	k-3	PROPN
cieatasu-1519	53	107	)	)	PUNCT
cieatasu-1519	53	108	13	13	NUM
cieatasu-1519	53	109	intermediate	intermediate	ADJ
cieatasu-1519	53	110	(	(	PUNCT
cieatasu-1519	53	111	4	4	NUM
cieatasu-1519	53	112	-	-	SYM
cieatasu-1519	53	113	6	6	NUM
cieatasu-1519	53	114	)	)	PUNCT
cieatasu-1519	53	115	16	16	NUM
cieatasu-1519	53	116	middle	middle	NOUN
cieatasu-1519	53	117	(	(	PUNCT
cieatasu-1519	53	118	7	7	NUM
cieatasu-1519	53	119	-	-	SYM
cieatasu-1519	53	120	8)	8)	NUM
cieatasu-1519	53	121	1	1	NUM
cieatasu-1519	53	122	classroom	classroom	NOUN
cieatasu-1519	53	123	type	type	NOUN
cieatasu-1519	53	124	self	self	NOUN
cieatasu-1519	53	125	-	-	PUNCT
cieatasu-1519	53	126	contained	contain	VERB
cieatasu-1519	53	127	class	class	NOUN
cieatasu-1519	53	128	(	(	PUNCT
cieatasu-1519	53	129	for	for	ADP
cieatasu-1519	53	130	all	all	DET
cieatasu-1519	53	131	or	or	CCONJ
cieatasu-1519	53	132	most	most	ADJ
cieatasu-1519	53	133	subjects	subject	NOUN
cieatasu-1519	53	134	)	)	PUNCT
cieatasu-1519	53	135	17	17	NUM
cieatasu-1519	53	136	math	math	NOUN
cieatasu-1519	53	137	only	only	ADV
cieatasu-1519	53	138	3	3	NUM
cieatasu-1519	53	139	math	math	NOUN
cieatasu-1519	53	140	and	and	CCONJ
cieatasu-1519	53	141	science	science	NOUN
cieatasu-1519	53	142	2	2	NUM
cieatasu-1519	53	143	other	other	ADJ
cieatasu-1519	53	144	or	or	CCONJ
cieatasu-1519	53	145	multi	multi	ADJ
cieatasu-1519	53	146	-	-	ADJ
cieatasu-1519	53	147	subject	subject	ADJ
cieatasu-1519	53	148	combinations	combination	NOUN
cieatasu-1519	53	149	8	8	NUM
cieatasu-1519	53	150	data	datum	NOUN
cieatasu-1519	53	151	collection	collection	NOUN
cieatasu-1519	53	152	the	the	DET
cieatasu-1519	53	153	mathematics	mathematic	NOUN
cieatasu-1519	53	154	problem	problem	NOUN
cieatasu-1519	53	155	used	use	VERB
cieatasu-1519	53	156	in	in	ADP
cieatasu-1519	53	157	this	this	DET
cieatasu-1519	53	158	study	study	NOUN
cieatasu-1519	53	159	can	can	AUX
cieatasu-1519	53	160	be	be	AUX
cieatasu-1519	53	161	found	find	VERB
cieatasu-1519	53	162	in	in	ADP
cieatasu-1519	53	163	comparing	compare	VERB
cieatasu-1519	53	164	quantities	quantity	NOUN
cieatasu-1519	53	165	,	,	PUNCT
cieatasu-1519	53	166	algebra	algebra	NOUN
cieatasu-1519	53	167	of	of	ADP
cieatasu-1519	53	168	the	the	DET
cieatasu-1519	53	169	mathematics	mathematic	NOUN
cieatasu-1519	53	170	in	in	ADP
cieatasu-1519	53	171	context	context	PROPN
cieatasu-1519	53	172	series	series	PROPN
cieatasu-1519	53	173	(	(	PUNCT
cieatasu-1519	53	174	kindt	kindt	PROPN
cieatasu-1519	53	175	et	et	PROPN
cieatasu-1519	53	176	al	al	PROPN
cieatasu-1519	53	177	.	.	PROPN
cieatasu-1519	53	178	,	,	PUNCT
cieatasu-1519	53	179	2010	2010	NUM
cieatasu-1519	53	180	)	)	PUNCT
cieatasu-1519	53	181	.	.	PUNCT
cieatasu-1519	54	1	the	the	DET
cieatasu-1519	54	2	question	question	NOUN
cieatasu-1519	54	3	provided	provide	VERB
cieatasu-1519	54	4	the	the	DET
cieatasu-1519	54	5	total	total	ADJ
cieatasu-1519	54	6	price	price	NOUN
cieatasu-1519	54	7	for	for	ADP
cieatasu-1519	54	8	two	two	NUM
cieatasu-1519	54	9	umbrellas	umbrella	NOUN
cieatasu-1519	54	10	and	and	CCONJ
cieatasu-1519	54	11	one	one	NUM
cieatasu-1519	54	12	hat	hat	NOUN
cieatasu-1519	54	13	(	(	PUNCT
cieatasu-1519	54	14	$	$	SYM
cieatasu-1519	54	15	80	80	NUM
cieatasu-1519	54	16	)	)	PUNCT
cieatasu-1519	54	17	and	and	CCONJ
cieatasu-1519	54	18	the	the	DET
cieatasu-1519	54	19	total	total	ADJ
cieatasu-1519	54	20	price	price	NOUN
cieatasu-1519	54	21	of	of	ADP
cieatasu-1519	54	22	one	one	NUM
cieatasu-1519	54	23	umbrella	umbrella	NOUN
cieatasu-1519	54	24	and	and	CCONJ
cieatasu-1519	54	25	two	two	NUM
cieatasu-1519	54	26	hats	hat	NOUN
cieatasu-1519	54	27	(	(	PUNCT
cieatasu-1519	54	28	$	$	SYM
cieatasu-1519	54	29	76	76	NUM
cieatasu-1519	54	30	)	)	PUNCT
cieatasu-1519	54	31	and	and	CCONJ
cieatasu-1519	54	32	asked	ask	VERB
cieatasu-1519	54	33	for	for	ADP
cieatasu-1519	54	34	the	the	DET
cieatasu-1519	54	35	price	price	NOUN
cieatasu-1519	54	36	of	of	ADP
cieatasu-1519	54	37	one	one	NUM
cieatasu-1519	54	38	hat	hat	NOUN
cieatasu-1519	54	39	and	and	CCONJ
cieatasu-1519	54	40	the	the	DET
cieatasu-1519	54	41	price	price	NOUN
cieatasu-1519	54	42	of	of	ADP
cieatasu-1519	54	43	one	one	NUM
cieatasu-1519	54	44	umbrella	umbrella	NOUN
cieatasu-1519	54	45	.	.	PUNCT
cieatasu-1519	55	1	before	before	ADP
cieatasu-1519	55	2	the	the	DET
cieatasu-1519	55	3	comparing	compare	VERB
cieatasu-1519	55	4	quantities	quantity	NOUN
cieatasu-1519	55	5	section	section	NOUN
cieatasu-1519	55	6	,	,	PUNCT
cieatasu-1519	55	7	students	student	NOUN
cieatasu-1519	55	8	learned	learn	VERB
cieatasu-1519	55	9	two	two	NUM
cieatasu-1519	55	10	strategies	strategy	NOUN
cieatasu-1519	55	11	for	for	ADP
cieatasu-1519	55	12	solving	solve	VERB
cieatasu-1519	55	13	similar	similar	ADJ
cieatasu-1519	55	14	problems	problem	NOUN
cieatasu-1519	55	15	:	:	PUNCT
cieatasu-1519	55	16	(	(	PUNCT
cieatasu-1519	55	17	1	1	X
cieatasu-1519	55	18	)	)	PUNCT
cieatasu-1519	55	19	exchanging	exchange	VERB
cieatasu-1519	55	20	and	and	CCONJ
cieatasu-1519	55	21	(	(	PUNCT
cieatasu-1519	55	22	2	2	X
cieatasu-1519	55	23	)	)	PUNCT
cieatasu-1519	55	24	making	make	VERB
cieatasu-1519	55	25	a	a	DET
cieatasu-1519	55	26	combination	combination	NOUN
cieatasu-1519	55	27	chart	chart	NOUN
cieatasu-1519	55	28	and	and	CCONJ
cieatasu-1519	55	29	using	use	VERB
cieatasu-1519	55	30	number	number	NOUN
cieatasu-1519	55	31	patterns	pattern	NOUN
cieatasu-1519	55	32	found	find	VERB
cieatasu-1519	55	33	in	in	ADP
cieatasu-1519	55	34	the	the	DET
cieatasu-1519	55	35	chart	chart	NOUN
cieatasu-1519	55	36	(	(	PUNCT
cieatasu-1519	55	37	van	van	PROPN
cieatasu-1519	55	38	reeuwijk	reeuwijk	NOUN
cieatasu-1519	55	39	,	,	PUNCT
cieatasu-1519	55	40	1995	1995	NUM
cieatasu-1519	55	41	)	)	PUNCT
cieatasu-1519	55	42	.	.	PUNCT
cieatasu-1519	56	1	students	student	NOUN
cieatasu-1519	56	2	were	be	AUX
cieatasu-1519	56	3	expected	expect	VERB
cieatasu-1519	56	4	to	to	PART
cieatasu-1519	56	5	“	"	PUNCT
cieatasu-1519	56	6	apply	apply	VERB
cieatasu-1519	56	7	the	the	DET
cieatasu-1519	56	8	strategy	strategy	NOUN
cieatasu-1519	56	9	of	of	ADP
cieatasu-1519	56	10	exchanging	exchange	VERB
cieatasu-1519	56	11	to	to	PART
cieatasu-1519	56	12	solve	solve	VERB
cieatasu-1519	56	13	problems	problem	NOUN
cieatasu-1519	56	14	involving	involve	VERB
cieatasu-1519	56	15	the	the	DET
cieatasu-1519	56	16	method	method	NOUN
cieatasu-1519	56	17	of	of	ADP
cieatasu-1519	56	18	fair	fair	ADJ
cieatasu-1519	56	19	exchange	exchange	NOUN
cieatasu-1519	56	20	.	.	PUNCT
cieatasu-1519	56	21	”	"	PUNCT
cieatasu-1519	57	1	(	(	PUNCT
cieatasu-1519	57	2	p.	p.	NOUN
cieatasu-1519	57	3	16	16	NUM
cieatasu-1519	57	4	)	)	PUNCT
cieatasu-1519	57	5	for	for	ADP
cieatasu-1519	57	6	algebra	algebra	NOUN
cieatasu-1519	57	7	teachers	teacher	NOUN
cieatasu-1519	57	8	and	and	CCONJ
cieatasu-1519	57	9	students	student	NOUN
cieatasu-1519	57	10	in	in	ADP
cieatasu-1519	57	11	grades	grade	NOUN
cieatasu-1519	57	12	6	6	NUM
cieatasu-1519	57	13	and	and	CCONJ
cieatasu-1519	57	14	higher	high	ADJ
cieatasu-1519	57	15	,	,	PUNCT
cieatasu-1519	57	16	this	this	DET
cieatasu-1519	57	17	problem	problem	NOUN
cieatasu-1519	57	18	involves	involve	VERB
cieatasu-1519	57	19	two	two	NUM
cieatasu-1519	57	20	variables	variable	NOUN
cieatasu-1519	57	21	and	and	CCONJ
cieatasu-1519	57	22	two	two	NUM
cieatasu-1519	57	23	equations	equation	NOUN
cieatasu-1519	57	24	.	.	PUNCT
cieatasu-1519	58	1	according	accord	VERB
cieatasu-1519	58	2	to	to	ADP
cieatasu-1519	58	3	meyer	meyer	PROPN
cieatasu-1519	58	4	(	(	PUNCT
cieatasu-1519	58	5	1997	1997	NUM
cieatasu-1519	58	6	)	)	PUNCT
cieatasu-1519	58	7	,	,	PUNCT
cieatasu-1519	58	8	6	6	NUM
cieatasu-1519	58	9	th	th	NOUN
cieatasu-1519	58	10	graders	grader	NOUN
cieatasu-1519	58	11	can	can	AUX
cieatasu-1519	58	12	solve	solve	VERB
cieatasu-1519	58	13	this	this	DET
cieatasu-1519	58	14	problem	problem	NOUN
cieatasu-1519	58	15	without	without	ADP
cieatasu-1519	58	16	using	use	VERB
cieatasu-1519	58	17	equations	equation	NOUN
cieatasu-1519	58	18	.	.	PUNCT
cieatasu-1519	59	1	if	if	SCONJ
cieatasu-1519	59	2	so	so	ADV
cieatasu-1519	59	3	,	,	PUNCT
cieatasu-1519	59	4	how	how	SCONJ
cieatasu-1519	59	5	about	about	ADP
cieatasu-1519	59	6	students	student	NOUN
cieatasu-1519	59	7	in	in	ADP
cieatasu-1519	59	8	earlier	early	ADJ
cieatasu-1519	59	9	grades	grade	NOUN
cieatasu-1519	59	10	?	?	PUNCT
cieatasu-1519	60	1	can	can	AUX
cieatasu-1519	60	2	they	they	PRON
cieatasu-1519	60	3	also	also	ADV
cieatasu-1519	60	4	solve	solve	VERB
cieatasu-1519	60	5	the	the	DET
cieatasu-1519	60	6	problem	problem	NOUN
cieatasu-1519	60	7	and	and	CCONJ
cieatasu-1519	60	8	what	what	DET
cieatasu-1519	60	9	strategies	strategy	NOUN
cieatasu-1519	60	10	would	would	AUX
cieatasu-1519	60	11	they	they	PRON
cieatasu-1519	60	12	be	be	AUX
cieatasu-1519	60	13	using	use	VERB
cieatasu-1519	60	14	?	?	PUNCT
cieatasu-1519	61	1	how	how	SCONJ
cieatasu-1519	61	2	will	will	AUX
cieatasu-1519	61	3	these	these	DET
cieatasu-1519	61	4	strategies	strategy	NOUN
cieatasu-1519	61	5	differ	differ	VERB
cieatasu-1519	61	6	from	from	ADP
cieatasu-1519	61	7	those	those	PRON
cieatasu-1519	61	8	used	use	VERB
cieatasu-1519	61	9	by	by	ADP
cieatasu-1519	61	10	students	student	NOUN
cieatasu-1519	61	11	exposed	expose	VERB
cieatasu-1519	61	12	to	to	ADP
cieatasu-1519	61	13	pre	pre	VERB
cieatasu-1519	61	14	-	-	VERB
cieatasu-1519	61	15	algebra	algebra	ADJ
cieatasu-1519	61	16	and	and	CCONJ
cieatasu-1519	61	17	algebraic	algebraic	ADJ
cieatasu-1519	61	18	concepts	concept	NOUN
cieatasu-1519	61	19	?	?	PUNCT
cieatasu-1519	62	1	and	and	CCONJ
cieatasu-1519	62	2	how	how	SCONJ
cieatasu-1519	62	3	about	about	ADP
cieatasu-1519	62	4	the	the	DET
cieatasu-1519	62	5	strategies	strategy	NOUN
cieatasu-1519	62	6	used	use	VERB
cieatasu-1519	62	7	by	by	ADP
cieatasu-1519	62	8	teachers	teacher	NOUN
cieatasu-1519	62	9	to	to	PART
cieatasu-1519	62	10	solve	solve	VERB
cieatasu-1519	62	11	the	the	DET
cieatasu-1519	62	12	problem	problem	NOUN
cieatasu-1519	62	13	;	;	PUNCT
cieatasu-1519	62	14	will	will	AUX
cieatasu-1519	62	15	they	they	PRON
cieatasu-1519	62	16	differ	differ	VERB
cieatasu-1519	62	17	depending	depend	VERB
cieatasu-1519	62	18	on	on	ADP
cieatasu-1519	62	19	assigned	assign	VERB
cieatasu-1519	62	20	teaching	teaching	NOUN
cieatasu-1519	62	21	grade	grade	NOUN
cieatasu-1519	62	22	levels	level	NOUN
cieatasu-1519	62	23	?	?	PUNCT
cieatasu-1519	63	1	data	datum	NOUN
cieatasu-1519	63	2	were	be	AUX
cieatasu-1519	63	3	collected	collect	VERB
cieatasu-1519	63	4	in	in	ADP
cieatasu-1519	63	5	each	each	DET
cieatasu-1519	63	6	phase	phase	NOUN
cieatasu-1519	63	7	of	of	ADP
cieatasu-1519	63	8	the	the	DET
cieatasu-1519	63	9	theoretical	theoretical	ADJ
cieatasu-1519	63	10	framework	framework	NOUN
cieatasu-1519	63	11	of	of	ADP
cieatasu-1519	63	12	the	the	DET
cieatasu-1519	63	13	study	study	NOUN
cieatasu-1519	63	14	(	(	PUNCT
cieatasu-1519	63	15	figure	figure	NOUN
cieatasu-1519	63	16	1	1	NUM
cieatasu-1519	63	17	)	)	PUNCT
cieatasu-1519	63	18	.	.	PUNCT
cieatasu-1519	64	1	a	a	DET
cieatasu-1519	64	2	detailed	detailed	ADJ
cieatasu-1519	64	3	description	description	NOUN
cieatasu-1519	64	4	of	of	ADP
cieatasu-1519	64	5	the	the	DET
cieatasu-1519	64	6	task	task	NOUN
cieatasu-1519	64	7	design	design	NOUN
cieatasu-1519	64	8	and	and	CCONJ
cieatasu-1519	64	9	analysis	analysis	NOUN
cieatasu-1519	64	10	activity	activity	NOUN
cieatasu-1519	64	11	and	and	CCONJ
cieatasu-1519	64	12	data	datum	NOUN
cieatasu-1519	64	13	are	be	AUX
cieatasu-1519	64	14	summarized	summarize	VERB
cieatasu-1519	64	15	in	in	ADP
cieatasu-1519	64	16	table	table	NOUN
cieatasu-1519	64	17	2	2	NUM
cieatasu-1519	64	18	.	.	PUNCT
cieatasu-1519	65	1			NOUN
cieatasu-1519	65	2	understanding	understand	VERB
cieatasu-1519	65	3	teacher	teacher	NOUN
cieatasu-1519	65	4	knowledge	knowledge	NOUN
cieatasu-1519	65	5	:	:	PUNCT
cieatasu-1519	65	6	(	(	PUNCT
cieatasu-1519	65	7	1	1	X
cieatasu-1519	65	8	)	)	PUNCT
cieatasu-1519	65	9	understanding	understand	VERB
cieatasu-1519	65	10	the	the	DET
cieatasu-1519	65	11	original	original	ADJ
cieatasu-1519	65	12	task	task	NOUN
cieatasu-1519	65	13	:	:	PUNCT
cieatasu-1519	65	14	as	as	ADP
cieatasu-1519	65	15	part	part	NOUN
cieatasu-1519	65	16	of	of	ADP
cieatasu-1519	65	17	the	the	DET
cieatasu-1519	65	18	initial	initial	ADJ
cieatasu-1519	65	19	phases	phase	NOUN
cieatasu-1519	65	20	of	of	ADP
cieatasu-1519	65	21	the	the	DET
cieatasu-1519	65	22	task	task	NOUN
cieatasu-1519	65	23	design	design	NOUN
cieatasu-1519	65	24	and	and	CCONJ
cieatasu-1519	65	25	analysis	analysis	NOUN
cieatasu-1519	65	26	project	project	NOUN
cieatasu-1519	65	27	,	,	PUNCT
cieatasu-1519	65	28	the	the	DET
cieatasu-1519	65	29	teachers	teacher	NOUN
cieatasu-1519	65	30	were	be	AUX
cieatasu-1519	65	31	asked	ask	VERB
cieatasu-1519	65	32	to	to	PART
cieatasu-1519	65	33	solve	solve	VERB
cieatasu-1519	65	34	the	the	DET
cieatasu-1519	65	35	problem	problem	NOUN
cieatasu-1519	65	36	.	.	PUNCT
cieatasu-1519	66	1	teachers	teacher	NOUN
cieatasu-1519	66	2	worked	work	VERB
cieatasu-1519	66	3	individually	individually	ADV
cieatasu-1519	66	4	for	for	ADP
cieatasu-1519	66	5	5	5	NUM
cieatasu-1519	66	6	15	15	NUM
cieatasu-1519	66	7	minutes	minute	NOUN
cieatasu-1519	66	8	,	,	PUNCT
cieatasu-1519	66	9	shared	share	VERB
cieatasu-1519	66	10	their	their	PRON
cieatasu-1519	66	11	solutions	solution	NOUN
cieatasu-1519	66	12	in	in	ADP
cieatasu-1519	66	13	the	the	DET
cieatasu-1519	66	14	small	small	ADJ
cieatasu-1519	66	15	group	group	NOUN
cieatasu-1519	66	16	and	and	CCONJ
cieatasu-1519	66	17	developed	develop	VERB
cieatasu-1519	66	18	a	a	DET
cieatasu-1519	66	19	rubric	rubric	NOUN
cieatasu-1519	66	20	,	,	PUNCT
cieatasu-1519	66	21	graded	grade	VERB
cieatasu-1519	66	22	each	each	DET
cieatasu-1519	66	23	other	other	ADJ
cieatasu-1519	66	24	’s	’s	PART
cieatasu-1519	66	25	work	work	NOUN
cieatasu-1519	66	26	using	use	VERB
cieatasu-1519	66	27	the	the	DET
cieatasu-1519	66	28	rubric	rubric	NOUN
cieatasu-1519	66	29	,	,	PUNCT
cieatasu-1519	66	30	and	and	CCONJ
cieatasu-1519	66	31	then	then	ADV
cieatasu-1519	66	32	discussed	discuss	VERB
cieatasu-1519	66	33	the	the	DET
cieatasu-1519	66	34	whole	whole	ADJ
cieatasu-1519	66	35	process	process	NOUN
cieatasu-1519	66	36	with	with	ADP
cieatasu-1519	66	37	the	the	DET
cieatasu-1519	66	38	entire	entire	ADJ
cieatasu-1519	66	39	lee	lee	PROPN
cieatasu-1519	66	40	&	&	CCONJ
cieatasu-1519	66	41	özgün	özgün	PROPN
cieatasu-1519	66	42	-	-	PUNCT
cieatasu-1519	66	43	koca	koca	NOUN
cieatasu-1519	66	44	:	:	PUNCT
cieatasu-1519	66	45	professional	professional	ADJ
cieatasu-1519	66	46	development	development	NOUN
cieatasu-1519	66	47	for	for	ADP
cieatasu-1519	66	48	mathematics	mathematics	NOUN
cieatasu-1519	66	49	teachers	teacher	NOUN
cieatasu-1519	66	50	:	:	PUNCT
cieatasu-1519	66	51	using	use	VERB
cieatasu-1519	66	52	task	task	NOUN
cieatasu-1519	66	53	design	design	NOUN
cieatasu-1519	66	54	and	and	CCONJ
cieatasu-1519	66	55	analysis	analysis	NOUN
cieatasu-1519	66	56	current	current	ADJ
cieatasu-1519	66	57	issues	issue	NOUN
cieatasu-1519	66	58	in	in	ADP
cieatasu-1519	66	59	education	education	NOUN
cieatasu-1519	66	60	,	,	PUNCT
cieatasu-1519	66	61	19(2	19(2	NUM
cieatasu-1519	66	62	)	)	PUNCT
cieatasu-1519	66	63	5	5	NUM
cieatasu-1519	66	64	class	class	NOUN
cieatasu-1519	66	65	.	.	PUNCT
cieatasu-1519	67	1	there	there	PRON
cieatasu-1519	67	2	were	be	VERB
cieatasu-1519	67	3	no	no	DET
cieatasu-1519	67	4	pre	pre	NOUN
cieatasu-1519	67	5	-	-	NOUN
cieatasu-1519	67	6	instructions	instruction	NOUN
cieatasu-1519	67	7	similar	similar	ADJ
cieatasu-1519	67	8	to	to	ADP
cieatasu-1519	67	9	those	those	PRON
cieatasu-1519	67	10	given	give	VERB
cieatasu-1519	67	11	prior	prior	ADV
cieatasu-1519	67	12	to	to	ADP
cieatasu-1519	67	13	the	the	DET
cieatasu-1519	67	14	hats	hat	NOUN
cieatasu-1519	67	15	and	and	CCONJ
cieatasu-1519	67	16	umbrellas	umbrella	NOUN
cieatasu-1519	67	17	problem	problem	NOUN
cieatasu-1519	67	18	in	in	ADP
cieatasu-1519	67	19	the	the	DET
cieatasu-1519	67	20	pd	pd	PROPN
cieatasu-1519	67	21	.	.	PUNCT
cieatasu-1519	67	22			PROPN
cieatasu-1519	68	1	understanding	understand	VERB
cieatasu-1519	68	2	students	student	NOUN
cieatasu-1519	68	3	’	'	PUNCT
cieatasu-1519	68	4	strategies	strategy	NOUN
cieatasu-1519	68	5	:	:	PUNCT
cieatasu-1519	68	6	(	(	PUNCT
cieatasu-1519	68	7	2	2	X
cieatasu-1519	68	8	)	)	PUNCT
cieatasu-1519	68	9	setting	set	VERB
cieatasu-1519	68	10	up	up	ADP
cieatasu-1519	68	11	a	a	DET
cieatasu-1519	68	12	task	task	NOUN
cieatasu-1519	68	13	:	:	PUNCT
cieatasu-1519	68	14	after	after	ADP
cieatasu-1519	68	15	the	the	DET
cieatasu-1519	68	16	first	first	ADJ
cieatasu-1519	68	17	phase	phase	NOUN
cieatasu-1519	68	18	,	,	PUNCT
cieatasu-1519	68	19	teachers	teacher	NOUN
cieatasu-1519	68	20	were	be	AUX
cieatasu-1519	68	21	asked	ask	VERB
cieatasu-1519	68	22	to	to	PART
cieatasu-1519	68	23	use	use	VERB
cieatasu-1519	68	24	the	the	DET
cieatasu-1519	68	25	task	task	NOUN
cieatasu-1519	68	26	in	in	ADP
cieatasu-1519	68	27	their	their	PRON
cieatasu-1519	68	28	respective	respective	ADJ
cieatasu-1519	68	29	classes	class	NOUN
cieatasu-1519	68	30	and	and	CCONJ
cieatasu-1519	68	31	collect	collect	VERB
cieatasu-1519	68	32	the	the	DET
cieatasu-1519	68	33	students	student	NOUN
cieatasu-1519	68	34	’	’	PART
cieatasu-1519	68	35	solutions	solution	NOUN
cieatasu-1519	68	36	.	.	PUNCT
cieatasu-1519	69	1	(	(	PUNCT
cieatasu-1519	69	2	3	3	X
cieatasu-1519	69	3	)	)	PUNCT
cieatasu-1519	69	4	becoming	become	VERB
cieatasu-1519	69	5	aware	aware	ADJ
cieatasu-1519	69	6	of	of	ADP
cieatasu-1519	69	7	student	student	NOUN
cieatasu-1519	69	8	strategies	strategy	NOUN
cieatasu-1519	69	9	:	:	PUNCT
cieatasu-1519	69	10	teachers	teacher	NOUN
cieatasu-1519	69	11	were	be	AUX
cieatasu-1519	69	12	asked	ask	VERB
cieatasu-1519	69	13	to	to	PART
cieatasu-1519	69	14	analyze	analyze	VERB
cieatasu-1519	69	15	students	student	NOUN
cieatasu-1519	69	16	’	'	PUNCT
cieatasu-1519	69	17	strategies	strategy	NOUN
cieatasu-1519	69	18	by	by	ADP
cieatasu-1519	69	19	using	use	VERB
cieatasu-1519	69	20	a	a	DET
cieatasu-1519	69	21	commercially	commercially	ADV
cieatasu-1519	69	22	designed	design	VERB
cieatasu-1519	69	23	rubric	rubric	ADJ
cieatasu-1519	69	24	focusing	focus	VERB
cieatasu-1519	69	25	on	on	ADP
cieatasu-1519	69	26	students	student	NOUN
cieatasu-1519	69	27	’	'	PUNCT
cieatasu-1519	69	28	problem	problem	NOUN
cieatasu-1519	69	29	solving	solving	NOUN
cieatasu-1519	69	30	skills	skill	NOUN
cieatasu-1519	69	31	.	.	PUNCT
cieatasu-1519	70	1	teachers	teacher	NOUN
cieatasu-1519	70	2	shared	share	VERB
cieatasu-1519	70	3	their	their	PRON
cieatasu-1519	70	4	grading	grade	VERB
cieatasu-1519	70	5	criteria	criterion	NOUN
cieatasu-1519	70	6	with	with	ADP
cieatasu-1519	70	7	other	other	ADJ
cieatasu-1519	70	8	project	project	NOUN
cieatasu-1519	70	9	teachers	teacher	NOUN
cieatasu-1519	70	10	.	.	PUNCT
cieatasu-1519	71	1	teachers	teacher	NOUN
cieatasu-1519	71	2	were	be	AUX
cieatasu-1519	71	3	also	also	ADV
cieatasu-1519	71	4	asked	ask	VERB
cieatasu-1519	71	5	to	to	PART
cieatasu-1519	71	6	select	select	VERB
cieatasu-1519	71	7	the	the	DET
cieatasu-1519	71	8	three	three	NUM
cieatasu-1519	71	9	most	most	ADV
cieatasu-1519	71	10	interesting	interesting	ADJ
cieatasu-1519	71	11	solutions	solution	NOUN
cieatasu-1519	71	12	(	(	PUNCT
cieatasu-1519	71	13	regardless	regardless	ADV
cieatasu-1519	71	14	the	the	DET
cieatasu-1519	71	15	accuracy	accuracy	NOUN
cieatasu-1519	71	16	)	)	PUNCT
cieatasu-1519	71	17	provided	provide	VERB
cieatasu-1519	71	18	by	by	ADP
cieatasu-1519	71	19	their	their	PRON
cieatasu-1519	71	20	students	student	NOUN
cieatasu-1519	71	21	,	,	PUNCT
cieatasu-1519	71	22	along	along	ADP
cieatasu-1519	71	23	with	with	ADP
cieatasu-1519	71	24	their	their	PRON
cieatasu-1519	71	25	rationale	rationale	NOUN
cieatasu-1519	71	26	behind	behind	ADP
cieatasu-1519	71	27	their	their	PRON
cieatasu-1519	71	28	selection	selection	NOUN
cieatasu-1519	71	29	.	.	PUNCT
cieatasu-1519	72	1	a	a	DET
cieatasu-1519	72	2	total	total	NOUN
cieatasu-1519	72	3	of	of	ADP
cieatasu-1519	72	4	90	90	NUM
cieatasu-1519	72	5	solutions	solution	NOUN
cieatasu-1519	72	6	(	(	PUNCT
cieatasu-1519	72	7	30	30	NUM
cieatasu-1519	72	8	teachers	teacher	NOUN
cieatasu-1519	72	9	providing	provide	VERB
cieatasu-1519	72	10	3	3	NUM
cieatasu-1519	72	11	solutions	solution	NOUN
cieatasu-1519	72	12	each	each	PRON
cieatasu-1519	72	13	)	)	PUNCT
cieatasu-1519	72	14	were	be	AUX
cieatasu-1519	72	15	thus	thus	ADV
cieatasu-1519	72	16	selected	select	VERB
cieatasu-1519	72	17	for	for	ADP
cieatasu-1519	72	18	consideration	consideration	NOUN
cieatasu-1519	72	19	.	.	PUNCT
cieatasu-1519	73	1	(	(	PUNCT
cieatasu-1519	73	2	4	4	X
cieatasu-1519	73	3	)	)	PUNCT
cieatasu-1519	73	4	eliciting	elicit	VERB
cieatasu-1519	73	5	student	student	NOUN
cieatasu-1519	73	6	ideas	idea	NOUN
cieatasu-1519	73	7	:	:	PUNCT
cieatasu-1519	73	8	the	the	DET
cieatasu-1519	73	9	project	project	NOUN
cieatasu-1519	73	10	team	team	NOUN
cieatasu-1519	73	11	reviewed	review	VERB
cieatasu-1519	73	12	90	90	NUM
cieatasu-1519	73	13	selected	select	VERB
cieatasu-1519	73	14	student	student	NOUN
cieatasu-1519	73	15	strategies	strategy	NOUN
cieatasu-1519	73	16	and	and	CCONJ
cieatasu-1519	73	17	chose	choose	VERB
cieatasu-1519	73	18	15	15	NUM
cieatasu-1519	73	19	solutions	solution	NOUN
cieatasu-1519	73	20	for	for	ADP
cieatasu-1519	73	21	the	the	DET
cieatasu-1519	73	22	activity	activity	NOUN
cieatasu-1519	73	23	of	of	ADP
cieatasu-1519	73	24	the	the	DET
cieatasu-1519	73	25	next	next	ADJ
cieatasu-1519	73	26	phase	phase	NOUN
cieatasu-1519	73	27	:	:	PUNCT
cieatasu-1519	73	28	developing	develop	VERB
cieatasu-1519	73	29	efficient	efficient	ADJ
cieatasu-1519	73	30	and	and	CCONJ
cieatasu-1519	73	31	high	high	ADJ
cieatasu-1519	73	32	level	level	NOUN
cieatasu-1519	73	33	thought	thought	NOUN
cieatasu-1519	73	34	-	-	PUNCT
cieatasu-1519	73	35	provoking	provoking	ADJ
cieatasu-1519	73	36	questions	question	NOUN
cieatasu-1519	73	37	for	for	ADP
cieatasu-1519	73	38	individual	individual	ADJ
cieatasu-1519	73	39	students	student	NOUN
cieatasu-1519	73	40	.	.	PUNCT
cieatasu-1519	74	1	teachers	teacher	NOUN
cieatasu-1519	74	2	were	be	AUX
cieatasu-1519	74	3	asked	ask	VERB
cieatasu-1519	74	4	to	to	PART
cieatasu-1519	74	5	pose	pose	VERB
cieatasu-1519	74	6	appropriate	appropriate	ADJ
cieatasu-1519	74	7	questions	question	NOUN
cieatasu-1519	74	8	for	for	SCONJ
cieatasu-1519	74	9	each	each	DET
cieatasu-1519	74	10	student	student	NOUN
cieatasu-1519	74	11	to	to	PART
cieatasu-1519	74	12	respond	respond	VERB
cieatasu-1519	74	13	to	to	ADP
cieatasu-1519	74	14	their	their	PRON
cieatasu-1519	74	15	needs	need	NOUN
cieatasu-1519	74	16	and	and	CCONJ
cieatasu-1519	74	17	to	to	PART
cieatasu-1519	74	18	improve	improve	VERB
cieatasu-1519	74	19	their	their	PRON
cieatasu-1519	74	20	learning	learning	NOUN
cieatasu-1519	74	21	outcomes	outcome	NOUN
cieatasu-1519	74	22	.	.	PUNCT
cieatasu-1519	75	1			PRON
cieatasu-1519	75	2	developing	develop	VERB
cieatasu-1519	75	3	/	/	SYM
cieatasu-1519	75	4	revising	revise	VERB
cieatasu-1519	75	5	a	a	DET
cieatasu-1519	75	6	task	task	NOUN
cieatasu-1519	75	7	:	:	PUNCT
cieatasu-1519	75	8	(	(	PUNCT
cieatasu-1519	75	9	5	5	X
cieatasu-1519	75	10	)	)	PUNCT
cieatasu-1519	75	11	developing	develop	VERB
cieatasu-1519	75	12	an	an	DET
cieatasu-1519	75	13	instructional	instructional	ADJ
cieatasu-1519	75	14	trajectory	trajectory	NOUN
cieatasu-1519	75	15	:	:	PUNCT
cieatasu-1519	75	16	teachers	teacher	NOUN
cieatasu-1519	75	17	were	be	AUX
cieatasu-1519	75	18	asked	ask	VERB
cieatasu-1519	75	19	to	to	PART
cieatasu-1519	75	20	reflect	reflect	VERB
cieatasu-1519	75	21	on	on	ADP
cieatasu-1519	75	22	the	the	DET
cieatasu-1519	75	23	entire	entire	ADJ
cieatasu-1519	75	24	cycle	cycle	NOUN
cieatasu-1519	75	25	of	of	ADP
cieatasu-1519	75	26	the	the	DET
cieatasu-1519	75	27	task	task	NOUN
cieatasu-1519	75	28	design	design	NOUN
cieatasu-1519	75	29	and	and	CCONJ
cieatasu-1519	75	30	analysis	analysis	NOUN
cieatasu-1519	75	31	pd	pd	NOUN
cieatasu-1519	75	32	activity	activity	NOUN
cieatasu-1519	75	33	and	and	CCONJ
cieatasu-1519	75	34	develop	develop	VERB
cieatasu-1519	75	35	two	two	NUM
cieatasu-1519	75	36	revisions	revision	NOUN
cieatasu-1519	75	37	to	to	PART
cieatasu-1519	75	38	teach	teach	VERB
cieatasu-1519	75	39	the	the	DET
cieatasu-1519	75	40	same	same	ADJ
cieatasu-1519	75	41	mathematical	mathematical	ADJ
cieatasu-1519	75	42	concept	concept	NOUN
cieatasu-1519	75	43	as	as	ADP
cieatasu-1519	75	44	the	the	DET
cieatasu-1519	75	45	original	original	ADJ
cieatasu-1519	75	46	task	task	NOUN
cieatasu-1519	75	47	.	.	PUNCT
cieatasu-1519	76	1	table	table	NOUN
cieatasu-1519	76	2	2	2	NUM
cieatasu-1519	76	3	professional	professional	ADJ
cieatasu-1519	76	4	development	development	NOUN
cieatasu-1519	76	5	(	(	PUNCT
cieatasu-1519	76	6	pd	pd	NOUN
cieatasu-1519	76	7	)	)	PUNCT
cieatasu-1519	76	8	activity	activity	NOUN
cieatasu-1519	76	9	and	and	CCONJ
cieatasu-1519	76	10	data	datum	NOUN
cieatasu-1519	76	11	purpose	purpose	NOUN
cieatasu-1519	76	12	phase	phase	NOUN
cieatasu-1519	76	13	pd	pd	NOUN
cieatasu-1519	76	14	activity	activity	NOUN
cieatasu-1519	76	15	data	datum	NOUN
cieatasu-1519	76	16	collected	collect	VERB
cieatasu-1519	76	17	understanding	understand	VERB
cieatasu-1519	76	18	teachers	teacher	NOUN
cieatasu-1519	76	19	’	'	PUNCT
cieatasu-1519	76	20	content	content	NOUN
cieatasu-1519	76	21	knowledge	knowledge	NOUN
cieatasu-1519	76	22	1.understanding	1.understanding	NUM
cieatasu-1519	76	23	the	the	DET
cieatasu-1519	76	24	original	original	ADJ
cieatasu-1519	76	25	task	task	NOUN
cieatasu-1519	76	26	face	face	NOUN
cieatasu-1519	76	27	-	-	PUNCT
cieatasu-1519	76	28	to	to	ADP
cieatasu-1519	76	29	-	-	PUNCT
cieatasu-1519	76	30	face	face	NOUN
cieatasu-1519	76	31	pd	pd	NOUN
cieatasu-1519	76	32	workshop	workshop	NOUN
cieatasu-1519	76	33	(	(	PUNCT
cieatasu-1519	76	34	sept	sept	PROPN
cieatasu-1519	76	35	.	.	PROPN
cieatasu-1519	76	36	)	)	PUNCT
cieatasu-1519	76	37	1	1	X
cieatasu-1519	76	38	)	)	PUNCT
cieatasu-1519	76	39	solve	solve	VERB
cieatasu-1519	76	40	the	the	DET
cieatasu-1519	76	41	task	task	NOUN
cieatasu-1519	76	42	individually	individually	ADV
cieatasu-1519	76	43	2	2	NUM
cieatasu-1519	76	44	)	)	PUNCT
cieatasu-1519	76	45	group	group	NOUN
cieatasu-1519	76	46	discussion	discussion	NOUN
cieatasu-1519	76	47	(	(	PUNCT
cieatasu-1519	76	48	small	small	ADJ
cieatasu-1519	76	49	&	&	CCONJ
cieatasu-1519	76	50	class	class	NOUN
cieatasu-1519	76	51	)	)	PUNCT
cieatasu-1519	76	52	teachers	teacher	NOUN
cieatasu-1519	76	53	’	'	PUNCT
cieatasu-1519	76	54	solution	solution	NOUN
cieatasu-1519	76	55	understanding	understand	VERB
cieatasu-1519	76	56	students	student	NOUN
cieatasu-1519	76	57	’	'	PUNCT
cieatasu-1519	76	58	strategies	strategy	NOUN
cieatasu-1519	76	59	2	2	NUM
cieatasu-1519	76	60	.	.	X
cieatasu-1519	76	61	setting	set	VERB
cieatasu-1519	76	62	up	up	ADP
cieatasu-1519	76	63	a	a	DET
cieatasu-1519	76	64	task	task	NOUN
cieatasu-1519	76	65	classroom	classroom	NOUN
cieatasu-1519	76	66	(	(	PUNCT
cieatasu-1519	76	67	sept	sept	PROPN
cieatasu-1519	76	68	.	.	PROPN
cieatasu-1519	76	69	oct	oct	PROPN
cieatasu-1519	76	70	.	.	PROPN
cieatasu-1519	76	71	):	):	PUNCT
cieatasu-1519	76	72	teachers	teacher	NOUN
cieatasu-1519	76	73	use	use	VERB
cieatasu-1519	76	74	the	the	DET
cieatasu-1519	76	75	task	task	NOUN
cieatasu-1519	76	76	in	in	ADP
cieatasu-1519	76	77	their	their	PRON
cieatasu-1519	76	78	own	own	ADJ
cieatasu-1519	76	79	teaching	teaching	NOUN
cieatasu-1519	76	80	.	.	PUNCT
cieatasu-1519	77	1	students	student	NOUN
cieatasu-1519	77	2	’	'	PUNCT
cieatasu-1519	77	3	solutions	solution	NOUN
cieatasu-1519	77	4	3	3	NUM
cieatasu-1519	77	5	.	.	PUNCT
cieatasu-1519	77	6	becoming	become	VERB
cieatasu-1519	77	7	aware	aware	ADJ
cieatasu-1519	77	8	of	of	ADP
cieatasu-1519	77	9	students	student	NOUN
cieatasu-1519	77	10	’	'	PUNCT
cieatasu-1519	77	11	strategies	strategy	NOUN
cieatasu-1519	77	12	off	off	ADP
cieatasu-1519	77	13	campus	campus	NOUN
cieatasu-1519	77	14	(	(	PUNCT
cieatasu-1519	77	15	oct	oct	PROPN
cieatasu-1519	77	16	.	.	PROPN
cieatasu-1519	77	17	nov	nov	PROPN
cieatasu-1519	77	18	.	.	PROPN
cieatasu-1519	77	19	)	)	PUNCT
cieatasu-1519	78	1	1	1	X
cieatasu-1519	78	2	)	)	PUNCT
cieatasu-1519	78	3	grade	grade	NOUN
cieatasu-1519	78	4	students	student	NOUN
cieatasu-1519	78	5	’	'	PUNCT
cieatasu-1519	78	6	work	work	NOUN
cieatasu-1519	78	7	2	2	NUM
cieatasu-1519	78	8	)	)	PUNCT
cieatasu-1519	78	9	analyze	analyze	NOUN
cieatasu-1519	78	10	students	student	NOUN
cieatasu-1519	78	11	’	'	PUNCT
cieatasu-1519	78	12	strategies	strategy	NOUN
cieatasu-1519	78	13	3	3	NUM
cieatasu-1519	78	14	)	)	PUNCT
cieatasu-1519	78	15	select	select	VERB
cieatasu-1519	78	16	three	three	NUM
cieatasu-1519	78	17	most	most	ADV
cieatasu-1519	78	18	interesting	interesting	ADJ
cieatasu-1519	78	19	students	student	NOUN
cieatasu-1519	78	20	’	'	PUNCT
cieatasu-1519	78	21	solutions	solution	NOUN
cieatasu-1519	78	22	4	4	NUM
cieatasu-1519	78	23	)	)	PUNCT
cieatasu-1519	78	24	rationalize	rationalize	NOUN
cieatasu-1519	78	25	for	for	ADP
cieatasu-1519	78	26	selecting	select	VERB
cieatasu-1519	78	27	the	the	DET
cieatasu-1519	78	28	three	three	NUM
cieatasu-1519	78	29	solutions	solution	NOUN
cieatasu-1519	78	30	.	.	PUNCT
cieatasu-1519	79	1	graded	grade	VERB
cieatasu-1519	79	2	scores	score	NOUN
cieatasu-1519	79	3	selections	selection	NOUN
cieatasu-1519	79	4	of	of	ADP
cieatasu-1519	79	5	students	student	NOUN
cieatasu-1519	79	6	’	'	PUNCT
cieatasu-1519	79	7	solutions	solution	NOUN
cieatasu-1519	79	8	rationale	rationale	NOUN
cieatasu-1519	79	9	for	for	ADP
cieatasu-1519	79	10	selecting	select	VERB
cieatasu-1519	79	11	three	three	NUM
cieatasu-1519	79	12	solutions	solution	NOUN
cieatasu-1519	79	13	4	4	NUM
cieatasu-1519	79	14	.	.	PUNCT
cieatasu-1519	79	15	eliciting	elicit	VERB
cieatasu-1519	79	16	students	student	NOUN
cieatasu-1519	79	17	’	’	PART
cieatasu-1519	79	18	ideas	idea	NOUN
cieatasu-1519	79	19	face	face	NOUN
cieatasu-1519	79	20	-	-	PUNCT
cieatasu-1519	79	21	to	to	ADP
cieatasu-1519	79	22	-	-	PUNCT
cieatasu-1519	79	23	face	face	NOUN
cieatasu-1519	79	24	pd	pd	NOUN
cieatasu-1519	79	25	workshop	workshop	NOUN
cieatasu-1519	79	26	(	(	PUNCT
cieatasu-1519	79	27	nov	nov	PROPN
cieatasu-1519	79	28	.	.	PROPN
cieatasu-1519	79	29	)	)	PUNCT
cieatasu-1519	79	30	1	1	X
cieatasu-1519	79	31	)	)	PUNCT
cieatasu-1519	79	32	share	share	NOUN
cieatasu-1519	79	33	students	student	NOUN
cieatasu-1519	79	34	solutions	solution	NOUN
cieatasu-1519	79	35	and	and	CCONJ
cieatasu-1519	79	36	grades	grade	NOUN
cieatasu-1519	79	37	2	2	NUM
cieatasu-1519	79	38	)	)	PUNCT
cieatasu-1519	79	39	develop	develop	VERB
cieatasu-1519	79	40	questions	question	NOUN
cieatasu-1519	79	41	for	for	ADP
cieatasu-1519	79	42	each	each	DET
cieatasu-1519	79	43	student	student	NOUN
cieatasu-1519	79	44	questions	question	NOUN
cieatasu-1519	79	45	with	with	ADP
cieatasu-1519	79	46	reasoning	reasoning	NOUN
cieatasu-1519	79	47	for	for	ADP
cieatasu-1519	79	48	supporting	support	VERB
cieatasu-1519	79	49	each	each	DET
cieatasu-1519	79	50	question	question	NOUN
cieatasu-1519	79	51	developing/	developing/	VERB
cieatasu-1519	79	52	revising	revise	VERB
cieatasu-1519	79	53	a	a	DET
cieatasu-1519	79	54	task	task	NOUN
cieatasu-1519	79	55	5	5	NUM
cieatasu-1519	79	56	.	.	PUNCT
cieatasu-1519	79	57	developing	develop	VERB
cieatasu-1519	79	58	an	an	DET
cieatasu-1519	79	59	instructional	instructional	ADJ
cieatasu-1519	79	60	trajectory	trajectory	NOUN
cieatasu-1519	79	61	off	off	ADP
cieatasu-1519	79	62	campus	campus	NOUN
cieatasu-1519	79	63	(	(	PUNCT
cieatasu-1519	79	64	nov	nov	PROPN
cieatasu-1519	79	65	.	.	PROPN
cieatasu-1519	79	66	–	–	PUNCT
cieatasu-1519	79	67	dec	dec	PROPN
cieatasu-1519	79	68	.	.	PROPN
cieatasu-1519	79	69	)	)	PUNCT
cieatasu-1519	80	1	1	1	X
cieatasu-1519	80	2	)	)	PUNCT
cieatasu-1519	80	3	reflect	reflect	VERB
cieatasu-1519	80	4	on	on	ADP
cieatasu-1519	80	5	the	the	DET
cieatasu-1519	80	6	pd	pd	NOUN
cieatasu-1519	80	7	activity	activity	NOUN
cieatasu-1519	80	8	2	2	NUM
cieatasu-1519	80	9	)	)	PUNCT
cieatasu-1519	80	10	develop	develop	VERB
cieatasu-1519	80	11	two	two	NUM
cieatasu-1519	80	12	revisions	revision	NOUN
cieatasu-1519	80	13	reflection	reflection	NOUN
cieatasu-1519	80	14	paper	paper	NOUN
cieatasu-1519	80	15	revised	revise	VERB
cieatasu-1519	80	16	tasks	task	NOUN
cieatasu-1519	80	17	data	datum	NOUN
cieatasu-1519	80	18	analysis	analysis	NOUN
cieatasu-1519	80	19	due	due	ADP
cieatasu-1519	80	20	to	to	ADP
cieatasu-1519	80	21	the	the	DET
cieatasu-1519	80	22	nature	nature	NOUN
cieatasu-1519	80	23	of	of	ADP
cieatasu-1519	80	24	the	the	DET
cieatasu-1519	80	25	qualitative	qualitative	ADJ
cieatasu-1519	80	26	data	datum	NOUN
cieatasu-1519	80	27	and	and	CCONJ
cieatasu-1519	80	28	in	in	ADP
cieatasu-1519	80	29	order	order	NOUN
cieatasu-1519	80	30	to	to	PART
cieatasu-1519	80	31	investigate	investigate	VERB
cieatasu-1519	80	32	emerging	emerge	VERB
cieatasu-1519	80	33	themes	theme	NOUN
cieatasu-1519	80	34	(	(	PUNCT
cieatasu-1519	80	35	miles	mile	NOUN
cieatasu-1519	80	36	&	&	CCONJ
cieatasu-1519	80	37	huberman	huberman	NOUN
cieatasu-1519	80	38	,	,	PUNCT
cieatasu-1519	80	39	1994	1994	NUM
cieatasu-1519	80	40	)	)	PUNCT
cieatasu-1519	80	41	,	,	PUNCT
cieatasu-1519	80	42	the	the	DET
cieatasu-1519	80	43	analysis	analysis	NOUN
cieatasu-1519	80	44	was	be	AUX
cieatasu-1519	80	45	based	base	VERB
cieatasu-1519	80	46	on	on	ADP
cieatasu-1519	80	47	categorizing	categorize	VERB
cieatasu-1519	80	48	.	.	PUNCT
cieatasu-1519	81	1	teachers	teacher	NOUN
cieatasu-1519	81	2	’	'	PUNCT
cieatasu-1519	81	3	solutions	solution	NOUN
cieatasu-1519	81	4	were	be	AUX
cieatasu-1519	81	5	lee	lee	PROPN
cieatasu-1519	81	6	&	&	CCONJ
cieatasu-1519	81	7	özgün	özgün	PROPN
cieatasu-1519	81	8	-	-	PUNCT
cieatasu-1519	81	9	koca	koca	NOUN
cieatasu-1519	81	10	:	:	PUNCT
cieatasu-1519	81	11	professional	professional	ADJ
cieatasu-1519	81	12	development	development	NOUN
cieatasu-1519	81	13	for	for	ADP
cieatasu-1519	81	14	mathematics	mathematics	NOUN
cieatasu-1519	81	15	teachers	teacher	NOUN
cieatasu-1519	81	16	:	:	PUNCT
cieatasu-1519	81	17	using	use	VERB
cieatasu-1519	81	18	task	task	NOUN
cieatasu-1519	81	19	design	design	NOUN
cieatasu-1519	81	20	and	and	CCONJ
cieatasu-1519	81	21	analysis	analysis	NOUN
cieatasu-1519	81	22	current	current	ADJ
cieatasu-1519	81	23	issues	issue	NOUN
cieatasu-1519	81	24	in	in	ADP
cieatasu-1519	81	25	education	education	NOUN
cieatasu-1519	81	26	,	,	PUNCT
cieatasu-1519	81	27	19(2	19(2	NUM
cieatasu-1519	81	28	)	)	PUNCT
cieatasu-1519	81	29	6	6	NUM
cieatasu-1519	81	30	analyzed	analyze	VERB
cieatasu-1519	81	31	for	for	ADP
cieatasu-1519	81	32	common	common	ADJ
cieatasu-1519	81	33	codes	code	NOUN
cieatasu-1519	81	34	to	to	PART
cieatasu-1519	81	35	create	create	VERB
cieatasu-1519	81	36	patterns	pattern	NOUN
cieatasu-1519	81	37	.	.	PUNCT
cieatasu-1519	82	1	instead	instead	ADV
cieatasu-1519	82	2	of	of	ADP
cieatasu-1519	82	3	sharing	share	VERB
cieatasu-1519	82	4	all	all	DET
cieatasu-1519	82	5	their	their	PRON
cieatasu-1519	82	6	student	student	NOUN
cieatasu-1519	82	7	data	datum	NOUN
cieatasu-1519	82	8	with	with	ADP
cieatasu-1519	82	9	the	the	DET
cieatasu-1519	82	10	pd	pd	PROPN
cieatasu-1519	82	11	group	group	NOUN
cieatasu-1519	82	12	,	,	PUNCT
cieatasu-1519	82	13	teachers	teacher	NOUN
cieatasu-1519	82	14	were	be	AUX
cieatasu-1519	82	15	asked	ask	VERB
cieatasu-1519	82	16	to	to	PART
cieatasu-1519	82	17	select	select	VERB
cieatasu-1519	82	18	the	the	DET
cieatasu-1519	82	19	three	three	NUM
cieatasu-1519	82	20	most	most	ADV
cieatasu-1519	82	21	interesting	interesting	ADJ
cieatasu-1519	82	22	student	student	NOUN
cieatasu-1519	82	23	solutions	solution	NOUN
cieatasu-1519	82	24	,	,	PUNCT
cieatasu-1519	82	25	and	and	CCONJ
cieatasu-1519	82	26	to	to	PART
cieatasu-1519	82	27	provide	provide	VERB
cieatasu-1519	82	28	the	the	DET
cieatasu-1519	82	29	rationale	rationale	NOUN
cieatasu-1519	82	30	they	they	PRON
cieatasu-1519	82	31	used	use	VERB
cieatasu-1519	82	32	for	for	ADP
cieatasu-1519	82	33	selection	selection	NOUN
cieatasu-1519	82	34	.	.	PUNCT
cieatasu-1519	83	1	polya	polya	PROPN
cieatasu-1519	83	2	’s	’s	PART
cieatasu-1519	83	3	problem	problem	NOUN
cieatasu-1519	83	4	solving	solving	NOUN
cieatasu-1519	83	5	model	model	NOUN
cieatasu-1519	83	6	was	be	AUX
cieatasu-1519	83	7	used	use	VERB
cieatasu-1519	83	8	as	as	ADP
cieatasu-1519	83	9	a	a	DET
cieatasu-1519	83	10	framework	framework	NOUN
cieatasu-1519	83	11	to	to	PART
cieatasu-1519	83	12	analyze	analyze	VERB
cieatasu-1519	83	13	to	to	ADP
cieatasu-1519	83	14	teachers	teacher	NOUN
cieatasu-1519	83	15	’	'	PUNCT
cieatasu-1519	83	16	selections	selection	NOUN
cieatasu-1519	83	17	.	.	PUNCT
cieatasu-1519	84	1	the	the	DET
cieatasu-1519	84	2	teachers	teacher	NOUN
cieatasu-1519	84	3	’	’	PART
cieatasu-1519	84	4	revisions	revision	NOUN
cieatasu-1519	84	5	(	(	PUNCT
cieatasu-1519	84	6	revised	revise	VERB
cieatasu-1519	84	7	tasks	task	NOUN
cieatasu-1519	84	8	)	)	PUNCT
cieatasu-1519	84	9	were	be	AUX
cieatasu-1519	84	10	then	then	ADV
cieatasu-1519	84	11	analyzed	analyze	VERB
cieatasu-1519	84	12	for	for	SCONJ
cieatasu-1519	84	13	common	common	ADJ
cieatasu-1519	84	14	codes	code	NOUN
cieatasu-1519	84	15	to	to	PART
cieatasu-1519	84	16	look	look	VERB
cieatasu-1519	84	17	for	for	ADP
cieatasu-1519	84	18	patterns	pattern	NOUN
cieatasu-1519	84	19	.	.	PUNCT
cieatasu-1519	85	1	rittle	rittle	PROPN
cieatasu-1519	85	2	-	-	PUNCT
cieatasu-1519	85	3	johnson	johnson	PROPN
cieatasu-1519	85	4	and	and	CCONJ
cieatasu-1519	85	5	koedinger	koedinger	NOUN
cieatasu-1519	85	6	(	(	PUNCT
cieatasu-1519	85	7	2005	2005	NUM
cieatasu-1519	85	8	)	)	PUNCT
cieatasu-1519	85	9	state	state	NOUN
cieatasu-1519	85	10	that	that	SCONJ
cieatasu-1519	85	11	“	"	PUNCT
cieatasu-1519	85	12	well	well	ADV
cieatasu-1519	85	13	-	-	PUNCT
cieatasu-1519	85	14	structured	structure	VERB
cieatasu-1519	85	15	knowledge	knowledge	NOUN
cieatasu-1519	85	16	requires	require	VERB
cieatasu-1519	85	17	that	that	SCONJ
cieatasu-1519	85	18	people	people	NOUN
cieatasu-1519	85	19	integrate	integrate	VERB
cieatasu-1519	85	20	their	their	PRON
cieatasu-1519	85	21	contextual	contextual	ADJ
cieatasu-1519	85	22	,	,	PUNCT
cieatasu-1519	85	23	conceptual	conceptual	ADJ
cieatasu-1519	85	24	and	and	CCONJ
cieatasu-1519	85	25	procedure	procedure	NOUN
cieatasu-1519	85	26	knowledge	knowledge	NOUN
cieatasu-1519	85	27	in	in	ADP
cieatasu-1519	85	28	a	a	DET
cieatasu-1519	85	29	domain	domain	NOUN
cieatasu-1519	85	30	”	"	PUNCT
cieatasu-1519	85	31	(	(	PUNCT
cieatasu-1519	85	32	p.	p.	NOUN
cieatasu-1519	85	33	313	313	NUM
cieatasu-1519	85	34	)	)	PUNCT
cieatasu-1519	85	35	.	.	PUNCT
cieatasu-1519	86	1	the	the	DET
cieatasu-1519	86	2	design	design	NOUN
cieatasu-1519	86	3	of	of	ADP
cieatasu-1519	86	4	a	a	DET
cieatasu-1519	86	5	learning	learning	NOUN
cieatasu-1519	86	6	environment	environment	NOUN
cieatasu-1519	86	7	,	,	PUNCT
cieatasu-1519	86	8	therefore	therefore	ADV
cieatasu-1519	86	9	,	,	PUNCT
cieatasu-1519	86	10	scaffolds	scaffold	VERB
cieatasu-1519	86	11	all	all	DET
cieatasu-1519	86	12	these	these	DET
cieatasu-1519	86	13	knowledge	knowledge	NOUN
cieatasu-1519	86	14	types	type	NOUN
cieatasu-1519	86	15	.	.	PUNCT
cieatasu-1519	87	1	during	during	ADP
cieatasu-1519	87	2	the	the	DET
cieatasu-1519	87	3	data	data	NOUN
cieatasu-1519	87	4	analysis	analysis	NOUN
cieatasu-1519	87	5	of	of	ADP
cieatasu-1519	87	6	revised	revise	VERB
cieatasu-1519	87	7	tasks	task	NOUN
cieatasu-1519	87	8	,	,	PUNCT
cieatasu-1519	87	9	we	we	PRON
cieatasu-1519	87	10	were	be	AUX
cieatasu-1519	87	11	guided	guide	VERB
cieatasu-1519	87	12	by	by	ADP
cieatasu-1519	87	13	the	the	DET
cieatasu-1519	87	14	idea	idea	NOUN
cieatasu-1519	87	15	of	of	ADP
cieatasu-1519	87	16	“	"	PUNCT
cieatasu-1519	87	17	well	well	ADV
cieatasu-1519	87	18	-	-	PUNCT
cieatasu-1519	87	19	structured	structure	VERB
cieatasu-1519	87	20	knowledge	knowledge	NOUN
cieatasu-1519	87	21	”	"	PUNCT
cieatasu-1519	87	22	provided	provide	VERB
cieatasu-1519	87	23	by	by	ADP
cieatasu-1519	87	24	rittle	rittle	PROPN
cieatasu-1519	87	25	-	-	PUNCT
cieatasu-1519	87	26	johnson	johnson	PROPN
cieatasu-1519	87	27	and	and	CCONJ
cieatasu-1519	87	28	koedinger	koedinger	NOUN
cieatasu-1519	87	29	(	(	PUNCT
cieatasu-1519	87	30	2005	2005	NUM
cieatasu-1519	87	31	)	)	PUNCT
cieatasu-1519	87	32	,	,	PUNCT
cieatasu-1519	87	33	and	and	CCONJ
cieatasu-1519	87	34	used	use	VERB
cieatasu-1519	87	35	contextual	contextual	ADJ
cieatasu-1519	87	36	,	,	PUNCT
cieatasu-1519	87	37	conceptual	conceptual	ADJ
cieatasu-1519	87	38	and	and	CCONJ
cieatasu-1519	87	39	procedural	procedural	ADJ
cieatasu-1519	87	40	changes	change	NOUN
cieatasu-1519	87	41	,	,	PUNCT
cieatasu-1519	87	42	as	as	ADP
cieatasu-1519	87	43	a	a	DET
cieatasu-1519	87	44	framework	framework	NOUN
cieatasu-1519	87	45	.	.	PUNCT
cieatasu-1519	88	1	throughout	throughout	ADP
cieatasu-1519	88	2	the	the	DET
cieatasu-1519	88	3	data	datum	NOUN
cieatasu-1519	88	4	analysis	analysis	NOUN
cieatasu-1519	88	5	process	process	NOUN
cieatasu-1519	88	6	,	,	PUNCT
cieatasu-1519	88	7	common	common	ADJ
cieatasu-1519	88	8	codes	code	NOUN
cieatasu-1519	88	9	and	and	CCONJ
cieatasu-1519	88	10	patterns	pattern	NOUN
cieatasu-1519	88	11	were	be	AUX
cieatasu-1519	88	12	tallied	tally	VERB
cieatasu-1519	88	13	(	(	PUNCT
cieatasu-1519	88	14	miles	mile	NOUN
cieatasu-1519	88	15	&	&	CCONJ
cieatasu-1519	88	16	huberman	huberman	NOUN
cieatasu-1519	88	17	,	,	PUNCT
cieatasu-1519	88	18	1994	1994	NUM
cieatasu-1519	88	19	)	)	PUNCT
cieatasu-1519	88	20	and	and	CCONJ
cieatasu-1519	88	21	percentages	percentage	NOUN
cieatasu-1519	88	22	of	of	ADP
cieatasu-1519	88	23	participants	participant	NOUN
cieatasu-1519	88	24	sharing	share	VERB
cieatasu-1519	88	25	similar	similar	ADJ
cieatasu-1519	88	26	revisions	revision	NOUN
cieatasu-1519	88	27	were	be	AUX
cieatasu-1519	88	28	calculated	calculate	VERB
cieatasu-1519	88	29	from	from	ADP
cieatasu-1519	88	30	those	those	DET
cieatasu-1519	88	31	tallies	tally	NOUN
cieatasu-1519	88	32	.	.	PUNCT
cieatasu-1519	89	1	each	each	DET
cieatasu-1519	89	2	investigator	investigator	NOUN
cieatasu-1519	89	3	coded	code	VERB
cieatasu-1519	89	4	the	the	DET
cieatasu-1519	89	5	data	datum	NOUN
cieatasu-1519	89	6	independently	independently	ADV
cieatasu-1519	89	7	.	.	PUNCT
cieatasu-1519	90	1	the	the	DET
cieatasu-1519	90	2	project	project	NOUN
cieatasu-1519	90	3	team	team	NOUN
cieatasu-1519	90	4	then	then	ADV
cieatasu-1519	90	5	conducted	conduct	VERB
cieatasu-1519	90	6	a	a	DET
cieatasu-1519	90	7	co	co	ADJ
cieatasu-1519	90	8	-	-	ADJ
cieatasu-1519	90	9	coding	coding	ADJ
cieatasu-1519	90	10	session	session	NOUN
cieatasu-1519	90	11	in	in	ADP
cieatasu-1519	90	12	order	order	NOUN
cieatasu-1519	90	13	to	to	PART
cieatasu-1519	90	14	resolve	resolve	VERB
cieatasu-1519	90	15	conflicts	conflict	NOUN
cieatasu-1519	90	16	and	and	CCONJ
cieatasu-1519	90	17	create	create	VERB
cieatasu-1519	90	18	the	the	DET
cieatasu-1519	90	19	common	common	ADJ
cieatasu-1519	90	20	codes	code	NOUN
cieatasu-1519	90	21	where	where	SCONJ
cieatasu-1519	90	22	the	the	DET
cieatasu-1519	90	23	individual	individual	ADJ
cieatasu-1519	90	24	codes	code	NOUN
cieatasu-1519	90	25	were	be	AUX
cieatasu-1519	90	26	compared	compare	VERB
cieatasu-1519	90	27	.	.	PUNCT
cieatasu-1519	91	1	when	when	SCONJ
cieatasu-1519	91	2	the	the	DET
cieatasu-1519	91	3	investigators	investigator	NOUN
cieatasu-1519	91	4	coded	code	VERB
cieatasu-1519	91	5	an	an	DET
cieatasu-1519	91	6	item	item	NOUN
cieatasu-1519	91	7	differently	differently	ADV
cieatasu-1519	91	8	,	,	PUNCT
cieatasu-1519	91	9	they	they	PRON
cieatasu-1519	91	10	negotiated	negotiate	VERB
cieatasu-1519	91	11	an	an	DET
cieatasu-1519	91	12	agreement	agreement	NOUN
cieatasu-1519	91	13	through	through	ADP
cieatasu-1519	91	14	discussion	discussion	NOUN
cieatasu-1519	91	15	.	.	PUNCT
cieatasu-1519	92	1	investigators	investigator	NOUN
cieatasu-1519	92	2	and	and	CCONJ
cieatasu-1519	92	3	data	datum	NOUN
cieatasu-1519	92	4	triangulation	triangulation	NOUN
cieatasu-1519	92	5	ensured	ensure	VERB
cieatasu-1519	92	6	the	the	DET
cieatasu-1519	92	7	trustworthiness	trustworthiness	NOUN
cieatasu-1519	92	8	of	of	ADP
cieatasu-1519	92	9	this	this	DET
cieatasu-1519	92	10	study	study	NOUN
cieatasu-1519	92	11	(	(	PUNCT
cieatasu-1519	92	12	denzin	denzin	PROPN
cieatasu-1519	92	13	&	&	CCONJ
cieatasu-1519	92	14	lincoln	lincoln	PROPN
cieatasu-1519	92	15	,	,	PUNCT
cieatasu-1519	92	16	1994	1994	NUM
cieatasu-1519	92	17	)	)	PUNCT
cieatasu-1519	92	18	.	.	PUNCT
cieatasu-1519	93	1	results	result	NOUN
cieatasu-1519	93	2	teacher	teacher	NOUN
cieatasu-1519	93	3	knowledge	knowledge	NOUN
cieatasu-1519	93	4	of	of	ADP
cieatasu-1519	93	5	mathematics	mathematic	NOUN
cieatasu-1519	93	6	:	:	PUNCT
cieatasu-1519	93	7	understanding	understand	VERB
cieatasu-1519	93	8	the	the	DET
cieatasu-1519	93	9	task	task	NOUN
cieatasu-1519	93	10	the	the	DET
cieatasu-1519	93	11	in	in	ADP
cieatasu-1519	93	12	-	-	PUNCT
cieatasu-1519	93	13	service	service	NOUN
cieatasu-1519	93	14	teachers	teacher	NOUN
cieatasu-1519	93	15	employed	employ	VERB
cieatasu-1519	93	16	two	two	NUM
cieatasu-1519	93	17	different	different	ADJ
cieatasu-1519	93	18	approaches	approach	NOUN
cieatasu-1519	93	19	in	in	ADP
cieatasu-1519	93	20	their	their	PRON
cieatasu-1519	93	21	work	work	NOUN
cieatasu-1519	93	22	on	on	ADP
cieatasu-1519	93	23	the	the	DET
cieatasu-1519	93	24	hats	hat	NOUN
cieatasu-1519	93	25	and	and	CCONJ
cieatasu-1519	93	26	umbrellas	umbrella	NOUN
cieatasu-1519	93	27	problem	problem	NOUN
cieatasu-1519	93	28	:	:	PUNCT
cieatasu-1519	93	29	symbolic	symbolic	ADJ
cieatasu-1519	93	30	manipulation	manipulation	NOUN
cieatasu-1519	93	31	and	and	CCONJ
cieatasu-1519	93	32	the	the	DET
cieatasu-1519	93	33	guess	guess	NOUN
cieatasu-1519	93	34	and	and	CCONJ
cieatasu-1519	93	35	check	check	VERB
cieatasu-1519	93	36	method	method	NOUN
cieatasu-1519	93	37	.	.	PUNCT
cieatasu-1519	94	1	ten	ten	NUM
cieatasu-1519	94	2	teachers	teacher	NOUN
cieatasu-1519	94	3	started	start	VERB
cieatasu-1519	94	4	the	the	DET
cieatasu-1519	94	5	problem	problem	NOUN
cieatasu-1519	94	6	by	by	ADP
cieatasu-1519	94	7	trying	try	VERB
cieatasu-1519	94	8	out	out	ADP
cieatasu-1519	94	9	some	some	DET
cieatasu-1519	94	10	numbers	number	NOUN
cieatasu-1519	94	11	.	.	PUNCT
cieatasu-1519	95	1	the	the	DET
cieatasu-1519	95	2	guess	guess	NOUN
cieatasu-1519	95	3	and	and	CCONJ
cieatasu-1519	95	4	check	check	VERB
cieatasu-1519	95	5	method	method	NOUN
cieatasu-1519	95	6	was	be	AUX
cieatasu-1519	95	7	not	not	PART
cieatasu-1519	95	8	successful	successful	ADJ
cieatasu-1519	95	9	for	for	ADP
cieatasu-1519	95	10	five	five	NUM
cieatasu-1519	95	11	of	of	ADP
cieatasu-1519	95	12	those	those	DET
cieatasu-1519	95	13	teachers	teacher	NOUN
cieatasu-1519	95	14	,	,	PUNCT
cieatasu-1519	95	15	but	but	CCONJ
cieatasu-1519	95	16	it	it	PRON
cieatasu-1519	95	17	may	may	AUX
cieatasu-1519	95	18	have	have	AUX
cieatasu-1519	95	19	helped	help	VERB
cieatasu-1519	95	20	them	they	PRON
cieatasu-1519	95	21	gain	gain	VERB
cieatasu-1519	95	22	insight	insight	NOUN
cieatasu-1519	95	23	into	into	ADP
cieatasu-1519	95	24	the	the	DET
cieatasu-1519	95	25	possible	possible	ADJ
cieatasu-1519	95	26	range	range	NOUN
cieatasu-1519	95	27	of	of	ADP
cieatasu-1519	95	28	solutions	solution	NOUN
cieatasu-1519	95	29	.	.	PUNCT
cieatasu-1519	96	1	among	among	ADP
cieatasu-1519	96	2	the	the	DET
cieatasu-1519	96	3	five	five	NUM
cieatasu-1519	96	4	who	who	PRON
cieatasu-1519	96	5	did	do	AUX
cieatasu-1519	96	6	obtain	obtain	VERB
cieatasu-1519	96	7	the	the	DET
cieatasu-1519	96	8	correct	correct	ADJ
cieatasu-1519	96	9	answer	answer	NOUN
cieatasu-1519	96	10	,	,	PUNCT
cieatasu-1519	96	11	one	one	NUM
cieatasu-1519	96	12	teacher	teacher	NOUN
cieatasu-1519	96	13	was	be	AUX
cieatasu-1519	96	14	able	able	ADJ
cieatasu-1519	96	15	to	to	PART
cieatasu-1519	96	16	intuit	intuit	VERB
cieatasu-1519	96	17	that	that	SCONJ
cieatasu-1519	96	18	an	an	DET
cieatasu-1519	96	19	umbrella	umbrella	NOUN
cieatasu-1519	96	20	costs	cost	VERB
cieatasu-1519	96	21	$	$	SYM
cieatasu-1519	96	22	4	4	NUM
cieatasu-1519	96	23	more	more	ADJ
cieatasu-1519	96	24	than	than	ADP
cieatasu-1519	96	25	a	a	DET
cieatasu-1519	96	26	hat	hat	NOUN
cieatasu-1519	96	27	.	.	PUNCT
cieatasu-1519	97	1	the	the	DET
cieatasu-1519	97	2	teacher	teacher	NOUN
cieatasu-1519	97	3	shared	share	VERB
cieatasu-1519	97	4	that	that	SCONJ
cieatasu-1519	97	5	this	this	PRON
cieatasu-1519	97	6	informed	inform	VERB
cieatasu-1519	97	7	his	his	PRON
cieatasu-1519	97	8	or	or	CCONJ
cieatasu-1519	97	9	her	her	PRON
cieatasu-1519	97	10	guess	guess	NOUN
cieatasu-1519	97	11	and	and	CCONJ
cieatasu-1519	97	12	check	check	VERB
cieatasu-1519	97	13	process	process	NOUN
cieatasu-1519	97	14	.	.	PUNCT
cieatasu-1519	98	1	the	the	DET
cieatasu-1519	98	2	symbolic	symbolic	ADJ
cieatasu-1519	98	3	method	method	NOUN
cieatasu-1519	98	4	,	,	PUNCT
cieatasu-1519	98	5	used	use	VERB
cieatasu-1519	98	6	by	by	ADP
cieatasu-1519	98	7	25	25	NUM
cieatasu-1519	98	8	(	(	PUNCT
cieatasu-1519	98	9	89	89	NUM
cieatasu-1519	98	10	%	%	NOUN
cieatasu-1519	98	11	)	)	PUNCT
cieatasu-1519	98	12	teachers	teacher	NOUN
cieatasu-1519	98	13	,	,	PUNCT
cieatasu-1519	98	14	was	be	AUX
cieatasu-1519	98	15	the	the	DET
cieatasu-1519	98	16	major	major	ADJ
cieatasu-1519	98	17	primary	primary	ADJ
cieatasu-1519	98	18	or	or	CCONJ
cieatasu-1519	98	19	secondary	secondary	ADJ
cieatasu-1519	98	20	method	method	NOUN
cieatasu-1519	98	21	used	use	VERB
cieatasu-1519	98	22	to	to	PART
cieatasu-1519	98	23	solve	solve	VERB
cieatasu-1519	98	24	this	this	DET
cieatasu-1519	98	25	problem	problem	NOUN
cieatasu-1519	98	26	.	.	PUNCT
cieatasu-1519	99	1	only	only	ADV
cieatasu-1519	99	2	3	3	NUM
cieatasu-1519	99	3	teachers	teacher	NOUN
cieatasu-1519	99	4	relied	rely	VERB
cieatasu-1519	99	5	solely	solely	ADV
cieatasu-1519	99	6	on	on	ADP
cieatasu-1519	99	7	the	the	DET
cieatasu-1519	99	8	guess	guess	NOUN
cieatasu-1519	99	9	and	and	CCONJ
cieatasu-1519	99	10	check	check	VERB
cieatasu-1519	99	11	method	method	NOUN
cieatasu-1519	99	12	.	.	PUNCT
cieatasu-1519	100	1	however	however	ADV
cieatasu-1519	100	2	,	,	PUNCT
cieatasu-1519	100	3	teachers	teacher	NOUN
cieatasu-1519	100	4	used	use	VERB
cieatasu-1519	100	5	the	the	DET
cieatasu-1519	100	6	symbolic	symbolic	ADJ
cieatasu-1519	100	7	approach	approach	NOUN
cieatasu-1519	100	8	in	in	ADP
cieatasu-1519	100	9	different	different	ADJ
cieatasu-1519	100	10	ways	way	NOUN
cieatasu-1519	100	11	.	.	PUNCT
cieatasu-1519	101	1	thirteen	thirteen	NUM
cieatasu-1519	101	2	set	set	VERB
cieatasu-1519	101	3	up	up	ADP
cieatasu-1519	101	4	a	a	DET
cieatasu-1519	101	5	system	system	NOUN
cieatasu-1519	101	6	of	of	ADP
cieatasu-1519	101	7	equations	equation	NOUN
cieatasu-1519	101	8	and	and	CCONJ
cieatasu-1519	101	9	all	all	DET
cieatasu-1519	101	10	thirteen	thirteen	NUM
cieatasu-1519	101	11	solved	solve	VERB
cieatasu-1519	101	12	it	it	PRON
cieatasu-1519	101	13	using	use	VERB
cieatasu-1519	101	14	the	the	DET
cieatasu-1519	101	15	substitution	substitution	NOUN
cieatasu-1519	101	16	method	method	NOUN
cieatasu-1519	101	17	(	(	PUNCT
cieatasu-1519	101	18	see	see	VERB
cieatasu-1519	101	19	figure	figure	NOUN
cieatasu-1519	101	20	2	2	NUM
cieatasu-1519	101	21	)	)	PUNCT
cieatasu-1519	101	22	.	.	PUNCT
cieatasu-1519	102	1	the	the	DET
cieatasu-1519	102	2	rest	rest	NOUN
cieatasu-1519	102	3	used	use	VERB
cieatasu-1519	102	4	more	more	ADJ
cieatasu-1519	102	5	than	than	ADP
cieatasu-1519	102	6	just	just	ADV
cieatasu-1519	102	7	symbolic	symbolic	ADJ
cieatasu-1519	102	8	manipulation	manipulation	NOUN
cieatasu-1519	102	9	.	.	PUNCT
cieatasu-1519	103	1	a	a	DET
cieatasu-1519	103	2	b	b	NUM
cieatasu-1519	103	3	figure	figure	NOUN
cieatasu-1519	103	4	2	2	NUM
cieatasu-1519	103	5	.	.	PUNCT
cieatasu-1519	103	6	symbolic	symbolic	ADJ
cieatasu-1519	103	7	approach	approach	NOUN
cieatasu-1519	103	8	using	use	VERB
cieatasu-1519	103	9	substitution	substitution	NOUN
cieatasu-1519	103	10	.	.	PUNCT
cieatasu-1519	104	1	lee	lee	PROPN
cieatasu-1519	104	2	&	&	CCONJ
cieatasu-1519	104	3	özgün	özgün	PROPN
cieatasu-1519	104	4	-	-	PUNCT
cieatasu-1519	104	5	koca	koca	NOUN
cieatasu-1519	104	6	:	:	PUNCT
cieatasu-1519	104	7	professional	professional	ADJ
cieatasu-1519	104	8	development	development	NOUN
cieatasu-1519	104	9	for	for	ADP
cieatasu-1519	104	10	mathematics	mathematics	NOUN
cieatasu-1519	104	11	teachers	teacher	NOUN
cieatasu-1519	104	12	:	:	PUNCT
cieatasu-1519	104	13	using	use	VERB
cieatasu-1519	104	14	task	task	NOUN
cieatasu-1519	104	15	design	design	NOUN
cieatasu-1519	104	16	and	and	CCONJ
cieatasu-1519	104	17	analysis	analysis	NOUN
cieatasu-1519	104	18	current	current	ADJ
cieatasu-1519	104	19	issues	issue	NOUN
cieatasu-1519	104	20	in	in	ADP
cieatasu-1519	104	21	education	education	NOUN
cieatasu-1519	104	22	,	,	PUNCT
cieatasu-1519	104	23	19(2	19(2	NUM
cieatasu-1519	104	24	)	)	PUNCT
cieatasu-1519	104	25	7	7	NUM
cieatasu-1519	104	26	ten	ten	NUM
cieatasu-1519	104	27	teachers	teacher	NOUN
cieatasu-1519	104	28	used	use	VERB
cieatasu-1519	104	29	the	the	DET
cieatasu-1519	104	30	idea	idea	NOUN
cieatasu-1519	104	31	of	of	ADP
cieatasu-1519	104	32	exchanging	exchange	VERB
cieatasu-1519	104	33	,	,	PUNCT
cieatasu-1519	104	34	which	which	PRON
cieatasu-1519	104	35	van	van	PROPN
cieatasu-1519	104	36	reeuwijk	reeuwijk	NOUN
cieatasu-1519	104	37	(	(	PUNCT
cieatasu-1519	104	38	1995	1995	NUM
cieatasu-1519	104	39	)	)	PUNCT
cieatasu-1519	104	40	called	call	VERB
cieatasu-1519	104	41	reasoning	reasoning	NOUN
cieatasu-1519	104	42	through	through	ADP
cieatasu-1519	104	43	exchanging	exchange	VERB
cieatasu-1519	104	44	.	.	PUNCT
cieatasu-1519	105	1	looking	look	VERB
cieatasu-1519	105	2	at	at	ADP
cieatasu-1519	105	3	the	the	DET
cieatasu-1519	105	4	hats	hat	NOUN
cieatasu-1519	105	5	and	and	CCONJ
cieatasu-1519	105	6	umbrellas	umbrella	NOUN
cieatasu-1519	105	7	problem	problem	NOUN
cieatasu-1519	105	8	,	,	PUNCT
cieatasu-1519	105	9	one	one	PRON
cieatasu-1519	105	10	can	can	AUX
cieatasu-1519	105	11	see	see	VERB
cieatasu-1519	105	12	that	that	SCONJ
cieatasu-1519	105	13	an	an	DET
cieatasu-1519	105	14	umbrella	umbrella	NOUN
cieatasu-1519	105	15	costs	cost	NOUN
cieatasu-1519	105	16	(	(	PUNCT
cieatasu-1519	105	17	exactly	exactly	ADV
cieatasu-1519	105	18	$	$	SYM
cieatasu-1519	105	19	4	4	NUM
cieatasu-1519	105	20	)	)	PUNCT
cieatasu-1519	105	21	more	more	ADJ
cieatasu-1519	105	22	than	than	ADP
cieatasu-1519	105	23	a	a	DET
cieatasu-1519	105	24	hat	hat	NOUN
cieatasu-1519	105	25	.	.	PUNCT
cieatasu-1519	106	1	five	five	NUM
cieatasu-1519	106	2	teachers	teacher	NOUN
cieatasu-1519	106	3	used	use	VERB
cieatasu-1519	106	4	the	the	DET
cieatasu-1519	106	5	equation	equation	NOUN
cieatasu-1519	106	6	u=	u=	ADV
cieatasu-1519	106	7	h+4	h+4	PROPN
cieatasu-1519	106	8	and	and	CCONJ
cieatasu-1519	106	9	solved	solve	VERB
cieatasu-1519	106	10	one	one	NUM
cieatasu-1519	106	11	of	of	ADP
cieatasu-1519	106	12	the	the	DET
cieatasu-1519	106	13	equations	equation	NOUN
cieatasu-1519	106	14	for	for	ADP
cieatasu-1519	106	15	the	the	DET
cieatasu-1519	106	16	price	price	NOUN
cieatasu-1519	106	17	for	for	ADP
cieatasu-1519	106	18	one	one	NUM
cieatasu-1519	106	19	hat	hat	NOUN
cieatasu-1519	106	20	or	or	CCONJ
cieatasu-1519	106	21	the	the	DET
cieatasu-1519	106	22	price	price	NOUN
cieatasu-1519	106	23	of	of	ADP
cieatasu-1519	106	24	one	one	NUM
cieatasu-1519	106	25	umbrella	umbrella	NOUN
cieatasu-1519	106	26	.	.	PUNCT
cieatasu-1519	107	1	so	so	ADV
cieatasu-1519	107	2	,	,	PUNCT
cieatasu-1519	107	3	exchanging	exchange	VERB
cieatasu-1519	107	4	the	the	DET
cieatasu-1519	107	5	umbrella	umbrella	NOUN
cieatasu-1519	107	6	in	in	ADP
cieatasu-1519	107	7	the	the	DET
cieatasu-1519	107	8	second	second	ADJ
cieatasu-1519	107	9	equation	equation	NOUN
cieatasu-1519	107	10	would	would	AUX
cieatasu-1519	107	11	lead	lead	VERB
cieatasu-1519	107	12	to	to	ADP
cieatasu-1519	107	13	three	three	NUM
cieatasu-1519	107	14	hats	hat	NOUN
cieatasu-1519	107	15	and	and	CCONJ
cieatasu-1519	107	16	four	four	NUM
cieatasu-1519	107	17	dollars	dollar	NOUN
cieatasu-1519	107	18	,	,	PUNCT
cieatasu-1519	107	19	which	which	PRON
cieatasu-1519	107	20	can	can	AUX
cieatasu-1519	107	21	then	then	ADV
cieatasu-1519	107	22	be	be	AUX
cieatasu-1519	107	23	easily	easily	ADV
cieatasu-1519	107	24	solved	solve	VERB
cieatasu-1519	107	25	for	for	ADP
cieatasu-1519	107	26	the	the	DET
cieatasu-1519	107	27	price	price	NOUN
cieatasu-1519	107	28	of	of	ADP
cieatasu-1519	107	29	one	one	NUM
cieatasu-1519	107	30	hat	hat	NOUN
cieatasu-1519	107	31	.	.	PUNCT
cieatasu-1519	108	1	the	the	DET
cieatasu-1519	108	2	other	other	ADJ
cieatasu-1519	108	3	five	five	NUM
cieatasu-1519	108	4	teachers	teacher	NOUN
cieatasu-1519	108	5	used	use	VERB
cieatasu-1519	108	6	reasoning	reasoning	NOUN
cieatasu-1519	108	7	with	with	ADP
cieatasu-1519	108	8	exchanging	exchange	VERB
cieatasu-1519	108	9	slightly	slightly	ADV
cieatasu-1519	108	10	differently	differently	ADV
cieatasu-1519	108	11	.	.	PUNCT
cieatasu-1519	109	1	they	they	PRON
cieatasu-1519	109	2	were	be	AUX
cieatasu-1519	109	3	able	able	ADJ
cieatasu-1519	109	4	to	to	PART
cieatasu-1519	109	5	conclude	conclude	VERB
cieatasu-1519	109	6	that	that	SCONJ
cieatasu-1519	109	7	one	one	NUM
cieatasu-1519	109	8	hat	hat	NOUN
cieatasu-1519	109	9	and	and	CCONJ
cieatasu-1519	109	10	one	one	NUM
cieatasu-1519	109	11	umbrella	umbrella	NOUN
cieatasu-1519	109	12	together	together	ADV
cieatasu-1519	109	13	would	would	AUX
cieatasu-1519	109	14	cost	cost	VERB
cieatasu-1519	109	15	$	$	SYM
cieatasu-1519	109	16	52	52	NUM
cieatasu-1519	109	17	,	,	PUNCT
cieatasu-1519	109	18	by	by	ADP
cieatasu-1519	109	19	adding	add	VERB
cieatasu-1519	109	20	the	the	DET
cieatasu-1519	109	21	two	two	NUM
cieatasu-1519	109	22	initial	initial	ADJ
cieatasu-1519	109	23	equations	equation	NOUN
cieatasu-1519	109	24	and	and	CCONJ
cieatasu-1519	109	25	dividing	divide	VERB
cieatasu-1519	109	26	by	by	ADP
cieatasu-1519	109	27	3	3	NUM
cieatasu-1519	109	28	.	.	PUNCT
cieatasu-1519	110	1	then	then	ADV
cieatasu-1519	110	2	they	they	PRON
cieatasu-1519	110	3	exchanged	exchange	VERB
cieatasu-1519	110	4	the	the	DET
cieatasu-1519	110	5	total	total	NOUN
cieatasu-1519	110	6	for	for	ADP
cieatasu-1519	110	7	1	1	NUM
cieatasu-1519	110	8	hat	hat	NOUN
cieatasu-1519	110	9	and	and	CCONJ
cieatasu-1519	110	10	1	1	NUM
cieatasu-1519	110	11	umbrella	umbrella	NOUN
cieatasu-1519	110	12	in	in	ADP
cieatasu-1519	110	13	one	one	NUM
cieatasu-1519	110	14	of	of	ADP
cieatasu-1519	110	15	the	the	DET
cieatasu-1519	110	16	equations	equation	NOUN
cieatasu-1519	110	17	to	to	PART
cieatasu-1519	110	18	obtain	obtain	VERB
cieatasu-1519	110	19	the	the	DET
cieatasu-1519	110	20	price	price	NOUN
cieatasu-1519	110	21	for	for	ADP
cieatasu-1519	110	22	1	1	NUM
cieatasu-1519	110	23	hat	hat	NOUN
cieatasu-1519	110	24	or	or	CCONJ
cieatasu-1519	110	25	1	1	NUM
cieatasu-1519	110	26	umbrella	umbrella	NOUN
cieatasu-1519	110	27	(	(	PUNCT
cieatasu-1519	110	28	see	see	VERB
cieatasu-1519	110	29	figure	figure	NOUN
cieatasu-1519	110	30	3	3	NUM
cieatasu-1519	110	31	)	)	PUNCT
cieatasu-1519	110	32	.	.	PUNCT
cieatasu-1519	111	1	two	two	NUM
cieatasu-1519	111	2	of	of	ADP
cieatasu-1519	111	3	the	the	DET
cieatasu-1519	111	4	thirteen	thirteen	NUM
cieatasu-1519	111	5	teachers	teacher	NOUN
cieatasu-1519	111	6	who	who	PRON
cieatasu-1519	111	7	solely	solely	ADV
cieatasu-1519	111	8	used	use	VERB
cieatasu-1519	111	9	the	the	DET
cieatasu-1519	111	10	symbolic	symbolic	ADJ
cieatasu-1519	111	11	approach	approach	NOUN
cieatasu-1519	111	12	,	,	PUNCT
cieatasu-1519	111	13	used	use	VERB
cieatasu-1519	111	14	this	this	DET
cieatasu-1519	111	15	idea	idea	NOUN
cieatasu-1519	111	16	of	of	ADP
cieatasu-1519	111	17	exchanging	exchange	VERB
cieatasu-1519	111	18	symbolically	symbolically	ADV
cieatasu-1519	111	19	.	.	PUNCT
cieatasu-1519	112	1	they	they	PRON
cieatasu-1519	112	2	were	be	AUX
cieatasu-1519	112	3	able	able	ADJ
cieatasu-1519	112	4	to	to	PART
cieatasu-1519	112	5	see	see	VERB
cieatasu-1519	112	6	that	that	SCONJ
cieatasu-1519	112	7	there	there	PRON
cieatasu-1519	112	8	was	be	VERB
cieatasu-1519	112	9	a	a	DET
cieatasu-1519	112	10	$	$	SYM
cieatasu-1519	112	11	4	4	NUM
cieatasu-1519	112	12	difference	difference	NOUN
cieatasu-1519	112	13	between	between	ADP
cieatasu-1519	112	14	the	the	DET
cieatasu-1519	112	15	two	two	NUM
cieatasu-1519	112	16	equations	equation	NOUN
cieatasu-1519	112	17	and	and	CCONJ
cieatasu-1519	112	18	used	use	VERB
cieatasu-1519	112	19	it	it	PRON
cieatasu-1519	112	20	to	to	PART
cieatasu-1519	112	21	set	set	VERB
cieatasu-1519	112	22	up	up	ADP
cieatasu-1519	112	23	a	a	DET
cieatasu-1519	112	24	new	new	ADJ
cieatasu-1519	112	25	equation	equation	NOUN
cieatasu-1519	112	26	as	as	SCONJ
cieatasu-1519	112	27	seen	see	VERB
cieatasu-1519	112	28	in	in	ADP
cieatasu-1519	112	29	figure	figure	NOUN
cieatasu-1519	112	30	4	4	NUM
cieatasu-1519	112	31	to	to	PART
cieatasu-1519	112	32	obtain	obtain	VERB
cieatasu-1519	112	33	that	that	DET
cieatasu-1519	112	34	u=	u=	NOUN
cieatasu-1519	112	35	h+4	h+4	INTJ
cieatasu-1519	112	36	solely	solely	ADV
cieatasu-1519	112	37	symbolically	symbolically	ADV
cieatasu-1519	112	38	.	.	PUNCT
cieatasu-1519	113	1	then	then	ADV
cieatasu-1519	113	2	they	they	PRON
cieatasu-1519	113	3	solved	solve	VERB
cieatasu-1519	113	4	one	one	NUM
cieatasu-1519	113	5	of	of	ADP
cieatasu-1519	113	6	the	the	DET
cieatasu-1519	113	7	equations	equation	NOUN
cieatasu-1519	113	8	using	use	VERB
cieatasu-1519	113	9	this	this	DET
cieatasu-1519	113	10	newly	newly	ADV
cieatasu-1519	113	11	constructed	construct	VERB
cieatasu-1519	113	12	equation	equation	NOUN
cieatasu-1519	113	13	.	.	PUNCT
cieatasu-1519	114	1	teachers	teacher	NOUN
cieatasu-1519	114	2	’	’	PART
cieatasu-1519	114	3	understanding	understanding	NOUN
cieatasu-1519	114	4	of	of	ADP
cieatasu-1519	114	5	student	student	NOUN
cieatasu-1519	114	6	cognitive	cognitive	ADJ
cieatasu-1519	114	7	activity	activity	NOUN
cieatasu-1519	114	8	:	:	PUNCT
cieatasu-1519	114	9	understanding	understand	VERB
cieatasu-1519	114	10	student	student	NOUN
cieatasu-1519	114	11	strategies	strategy	NOUN
cieatasu-1519	114	12	the	the	DET
cieatasu-1519	114	13	teachers	teacher	NOUN
cieatasu-1519	114	14	graded	grade	VERB
cieatasu-1519	114	15	the	the	DET
cieatasu-1519	114	16	students	student	NOUN
cieatasu-1519	114	17	’	’	PART
cieatasu-1519	114	18	solutions	solution	NOUN
cieatasu-1519	114	19	in	in	ADP
cieatasu-1519	114	20	five	five	NUM
cieatasu-1519	114	21	areas	area	NOUN
cieatasu-1519	114	22	:	:	PUNCT
cieatasu-1519	114	23	mathematics	mathematics	NOUN
cieatasu-1519	114	24	language	language	NOUN
cieatasu-1519	114	25	,	,	PUNCT
cieatasu-1519	114	26	representation	representation	NOUN
cieatasu-1519	114	27	,	,	PUNCT
cieatasu-1519	114	28	presentation	presentation	NOUN
cieatasu-1519	114	29	,	,	PUNCT
cieatasu-1519	114	30	problem	problem	NOUN
cieatasu-1519	114	31	solving	solving	NOUN
cieatasu-1519	114	32	,	,	PUNCT
cieatasu-1519	114	33	and	and	CCONJ
cieatasu-1519	114	34	mathematical	mathematical	ADJ
cieatasu-1519	114	35	accuracy	accuracy	NOUN
cieatasu-1519	114	36	.	.	PUNCT
cieatasu-1519	115	1	the	the	DET
cieatasu-1519	115	2	teachers	teacher	NOUN
cieatasu-1519	115	3	were	be	AUX
cieatasu-1519	115	4	asked	ask	VERB
cieatasu-1519	115	5	to	to	PART
cieatasu-1519	115	6	rate	rate	VERB
cieatasu-1519	115	7	a	a	DET
cieatasu-1519	115	8	student	student	NOUN
cieatasu-1519	115	9	’s	’s	PART
cieatasu-1519	115	10	weak	weak	ADJ
cieatasu-1519	115	11	areas	area	NOUN
cieatasu-1519	115	12	based	base	VERB
cieatasu-1519	115	13	on	on	ADP
cieatasu-1519	115	14	how	how	SCONJ
cieatasu-1519	115	15	they	they	PRON
cieatasu-1519	115	16	graded	grade	VERB
cieatasu-1519	115	17	the	the	DET
cieatasu-1519	115	18	student	student	NOUN
cieatasu-1519	115	19	’s	’s	PART
cieatasu-1519	115	20	solution	solution	NOUN
cieatasu-1519	115	21	.	.	PUNCT
cieatasu-1519	116	1	figure	figure	NOUN
cieatasu-1519	116	2	5	5	NUM
cieatasu-1519	116	3	summarizes	summarize	NOUN
cieatasu-1519	116	4	the	the	DET
cieatasu-1519	116	5	findings	finding	NOUN
cieatasu-1519	116	6	of	of	ADP
cieatasu-1519	116	7	the	the	DET
cieatasu-1519	116	8	grading	grade	VERB
cieatasu-1519	116	9	outcomes	outcome	NOUN
cieatasu-1519	116	10	.	.	PUNCT
cieatasu-1519	117	1	approximately	approximately	ADV
cieatasu-1519	117	2	one	one	NUM
cieatasu-1519	117	3	-	-	PUNCT
cieatasu-1519	117	4	quarter	quarter	NOUN
cieatasu-1519	117	5	of	of	ADP
cieatasu-1519	117	6	the	the	DET
cieatasu-1519	117	7	teachers	teacher	NOUN
cieatasu-1519	117	8	reported	report	VERB
cieatasu-1519	117	9	mathematical	mathematical	ADJ
cieatasu-1519	117	10	language	language	NOUN
cieatasu-1519	117	11	as	as	ADP
cieatasu-1519	117	12	an	an	DET
cieatasu-1519	117	13	area	area	NOUN
cieatasu-1519	117	14	weak	weak	ADJ
cieatasu-1519	117	15	of	of	ADP
cieatasu-1519	117	16	weakness	weakness	NOUN
cieatasu-1519	117	17	,	,	PUNCT
cieatasu-1519	117	18	while	while	SCONJ
cieatasu-1519	117	19	mathematical	mathematical	ADJ
cieatasu-1519	117	20	accuracy	accuracy	NOUN
cieatasu-1519	117	21	seemed	seem	VERB
cieatasu-1519	117	22	to	to	PART
cieatasu-1519	117	23	have	have	VERB
cieatasu-1519	117	24	the	the	DET
cieatasu-1519	117	25	least	least	ADJ
cieatasu-1519	117	26	concern	concern	NOUN
cieatasu-1519	117	27	to	to	ADP
cieatasu-1519	117	28	teachers	teacher	NOUN
cieatasu-1519	117	29	.	.	PUNCT
cieatasu-1519	118	1	during	during	ADP
cieatasu-1519	118	2	the	the	DET
cieatasu-1519	118	3	grading	grade	VERB
cieatasu-1519	118	4	process	process	NOUN
cieatasu-1519	118	5	,	,	PUNCT
cieatasu-1519	118	6	teachers	teacher	NOUN
cieatasu-1519	118	7	engaged	engage	VERB
cieatasu-1519	118	8	in	in	ADP
cieatasu-1519	118	9	a	a	DET
cieatasu-1519	118	10	lengthy	lengthy	ADJ
cieatasu-1519	118	11	discussion	discussion	NOUN
cieatasu-1519	118	12	about	about	ADP
cieatasu-1519	118	13	the	the	DET
cieatasu-1519	118	14	difference	difference	NOUN
cieatasu-1519	118	15	between	between	ADP
cieatasu-1519	118	16	presentation	presentation	NOUN
cieatasu-1519	118	17	and	and	CCONJ
cieatasu-1519	118	18	representation	representation	NOUN
cieatasu-1519	118	19	.	.	PUNCT
cieatasu-1519	119	1	figure	figure	NOUN
cieatasu-1519	119	2	4	4	NUM
cieatasu-1519	119	3	.	.	PUNCT
cieatasu-1519	119	4	symbolic	symbolic	ADJ
cieatasu-1519	119	5	exchanging	exchanging	NOUN
cieatasu-1519	119	6	.	.	PUNCT
cieatasu-1519	120	1	a	a	DET
cieatasu-1519	120	2	b	b	NOUN
cieatasu-1519	120	3	c	c	X
cieatasu-1519	120	4	figure	figure	NOUN
cieatasu-1519	120	5	3	3	X
cieatasu-1519	120	6	.	.	PUNCT
cieatasu-1519	120	7	reasoning	reason	VERB
cieatasu-1519	120	8	with	with	ADP
cieatasu-1519	120	9	exchanging	exchange	VERB
cieatasu-1519	120	10	.	.	PUNCT
cieatasu-1519	121	1	lee	lee	PROPN
cieatasu-1519	121	2	&	&	CCONJ
cieatasu-1519	121	3	özgün	özgün	PROPN
cieatasu-1519	121	4	-	-	PUNCT
cieatasu-1519	121	5	koca	koca	NOUN
cieatasu-1519	121	6	:	:	PUNCT
cieatasu-1519	121	7	professional	professional	ADJ
cieatasu-1519	121	8	development	development	NOUN
cieatasu-1519	121	9	for	for	ADP
cieatasu-1519	121	10	mathematics	mathematics	NOUN
cieatasu-1519	121	11	teachers	teacher	NOUN
cieatasu-1519	121	12	:	:	PUNCT
cieatasu-1519	121	13	using	use	VERB
cieatasu-1519	121	14	task	task	NOUN
cieatasu-1519	121	15	design	design	NOUN
cieatasu-1519	121	16	and	and	CCONJ
cieatasu-1519	121	17	analysis	analysis	NOUN
cieatasu-1519	121	18	current	current	ADJ
cieatasu-1519	121	19	issues	issue	NOUN
cieatasu-1519	121	20	in	in	ADP
cieatasu-1519	121	21	education	education	NOUN
cieatasu-1519	121	22	,	,	PUNCT
cieatasu-1519	121	23	19(2	19(2	NUM
cieatasu-1519	121	24	)	)	PUNCT
cieatasu-1519	121	25	8	8	NUM
cieatasu-1519	121	26	teachers	teacher	NOUN
cieatasu-1519	121	27	also	also	ADV
cieatasu-1519	121	28	analyzed	analyze	VERB
cieatasu-1519	121	29	students	student	NOUN
cieatasu-1519	121	30	’	'	PUNCT
cieatasu-1519	121	31	strategies	strategy	NOUN
cieatasu-1519	121	32	and	and	CCONJ
cieatasu-1519	121	33	developed	develop	VERB
cieatasu-1519	121	34	an	an	DET
cieatasu-1519	121	35	understanding	understanding	NOUN
cieatasu-1519	121	36	of	of	ADP
cieatasu-1519	121	37	the	the	DET
cieatasu-1519	121	38	students	student	NOUN
cieatasu-1519	121	39	’	’	PART
cieatasu-1519	121	40	cognitive	cognitive	ADJ
cieatasu-1519	121	41	activity	activity	NOUN
cieatasu-1519	121	42	.	.	PUNCT
cieatasu-1519	122	1	students	student	NOUN
cieatasu-1519	122	2	’	'	PUNCT
cieatasu-1519	122	3	strategies	strategy	NOUN
cieatasu-1519	122	4	that	that	PRON
cieatasu-1519	122	5	teachers	teacher	NOUN
cieatasu-1519	122	6	noticed	notice	VERB
cieatasu-1519	122	7	and	and	CCONJ
cieatasu-1519	122	8	valued	value	VERB
cieatasu-1519	122	9	are	be	AUX
cieatasu-1519	122	10	understanding	understand	VERB
cieatasu-1519	122	11	the	the	DET
cieatasu-1519	122	12	problem	problem	NOUN
cieatasu-1519	122	13	,	,	PUNCT
cieatasu-1519	122	14	using	use	VERB
cieatasu-1519	122	15	prior	prior	ADJ
cieatasu-1519	122	16	knowledge	knowledge	NOUN
cieatasu-1519	122	17	,	,	PUNCT
cieatasu-1519	122	18	using	use	VERB
cieatasu-1519	122	19	heuristics	heuristic	NOUN
cieatasu-1519	122	20	,	,	PUNCT
cieatasu-1519	122	21	being	be	AUX
cieatasu-1519	122	22	able	able	ADJ
cieatasu-1519	122	23	to	to	PART
cieatasu-1519	122	24	use	use	VERB
cieatasu-1519	122	25	algebraic	algebraic	ADJ
cieatasu-1519	122	26	representations	representation	NOUN
cieatasu-1519	122	27	,	,	PUNCT
cieatasu-1519	122	28	and	and	CCONJ
cieatasu-1519	122	29	checking	check	VERB
cieatasu-1519	122	30	and	and	CCONJ
cieatasu-1519	122	31	looking	look	VERB
cieatasu-1519	122	32	back	back	ADV
cieatasu-1519	122	33	a	a	DET
cieatasu-1519	122	34	solution	solution	NOUN
cieatasu-1519	122	35	.	.	PUNCT
cieatasu-1519	123	1	as	as	ADP
cieatasu-1519	123	2	part	part	NOUN
cieatasu-1519	123	3	of	of	ADP
cieatasu-1519	123	4	this	this	DET
cieatasu-1519	123	5	phase	phase	NOUN
cieatasu-1519	123	6	,	,	PUNCT
cieatasu-1519	123	7	teachers	teacher	NOUN
cieatasu-1519	123	8	were	be	AUX
cieatasu-1519	123	9	asked	ask	VERB
cieatasu-1519	123	10	to	to	PART
cieatasu-1519	123	11	select	select	VERB
cieatasu-1519	123	12	the	the	DET
cieatasu-1519	123	13	three	three	NUM
cieatasu-1519	123	14	most	most	ADV
cieatasu-1519	123	15	interesting	interesting	ADJ
cieatasu-1519	123	16	solutions	solution	NOUN
cieatasu-1519	123	17	after	after	ADP
cieatasu-1519	123	18	grading	grade	VERB
cieatasu-1519	123	19	the	the	DET
cieatasu-1519	123	20	student	student	NOUN
cieatasu-1519	123	21	work	work	NOUN
cieatasu-1519	123	22	and	and	CCONJ
cieatasu-1519	123	23	analyzing	analyze	VERB
cieatasu-1519	123	24	the	the	DET
cieatasu-1519	123	25	solution	solution	NOUN
cieatasu-1519	123	26	strategies	strategy	NOUN
cieatasu-1519	123	27	.	.	PUNCT
cieatasu-1519	124	1	all	all	DET
cieatasu-1519	124	2	teachers	teacher	NOUN
cieatasu-1519	124	3	valued	value	VERB
cieatasu-1519	124	4	the	the	DET
cieatasu-1519	124	5	basic	basic	ADJ
cieatasu-1519	124	6	steps	step	NOUN
cieatasu-1519	124	7	of	of	ADP
cieatasu-1519	124	8	a	a	DET
cieatasu-1519	124	9	problem	problem	NOUN
cieatasu-1519	124	10	solving	solving	NOUN
cieatasu-1519	124	11	process	process	NOUN
cieatasu-1519	124	12	:	:	PUNCT
cieatasu-1519	124	13	understanding	understand	VERB
cieatasu-1519	124	14	the	the	DET
cieatasu-1519	124	15	problem	problem	NOUN
cieatasu-1519	124	16	,	,	PUNCT
cieatasu-1519	124	17	working	work	VERB
cieatasu-1519	124	18	on	on	ADP
cieatasu-1519	124	19	the	the	DET
cieatasu-1519	124	20	solution	solution	NOUN
cieatasu-1519	124	21	using	use	VERB
cieatasu-1519	124	22	heuristics	heuristic	NOUN
cieatasu-1519	124	23	,	,	PUNCT
cieatasu-1519	124	24	and	and	CCONJ
cieatasu-1519	124	25	looking	look	VERB
cieatasu-1519	124	26	back	back	ADV
cieatasu-1519	124	27	.	.	PUNCT
cieatasu-1519	125	1	understanding	understand	VERB
cieatasu-1519	125	2	the	the	DET
cieatasu-1519	125	3	problem	problem	NOUN
cieatasu-1519	125	4	was	be	AUX
cieatasu-1519	125	5	one	one	NUM
cieatasu-1519	125	6	of	of	ADP
cieatasu-1519	125	7	the	the	DET
cieatasu-1519	125	8	ideas	idea	NOUN
cieatasu-1519	125	9	highlighted	highlight	VERB
cieatasu-1519	125	10	by	by	ADP
cieatasu-1519	125	11	almost	almost	ADV
cieatasu-1519	125	12	50	50	NUM
cieatasu-1519	125	13	%	%	NOUN
cieatasu-1519	125	14	of	of	ADP
cieatasu-1519	125	15	teachers	teacher	NOUN
cieatasu-1519	125	16	.	.	PUNCT
cieatasu-1519	126	1	teachers	teacher	NOUN
cieatasu-1519	126	2	were	be	AUX
cieatasu-1519	126	3	pleased	pleased	ADJ
cieatasu-1519	126	4	to	to	PART
cieatasu-1519	126	5	see	see	VERB
cieatasu-1519	126	6	a	a	DET
cieatasu-1519	126	7	student	student	NOUN
cieatasu-1519	126	8	realize	realize	VERB
cieatasu-1519	126	9	that	that	SCONJ
cieatasu-1519	126	10	they	they	PRON
cieatasu-1519	126	11	needed	need	VERB
cieatasu-1519	126	12	to	to	PART
cieatasu-1519	126	13	work	work	VERB
cieatasu-1519	126	14	with	with	ADP
cieatasu-1519	126	15	both	both	DET
cieatasu-1519	126	16	equations	equation	NOUN
cieatasu-1519	126	17	simultaneously	simultaneously	ADV
cieatasu-1519	126	18	,	,	PUNCT
cieatasu-1519	126	19	or	or	CCONJ
cieatasu-1519	126	20	that	that	SCONJ
cieatasu-1519	126	21	the	the	DET
cieatasu-1519	126	22	price	price	NOUN
cieatasu-1519	126	23	of	of	ADP
cieatasu-1519	126	24	one	one	NUM
cieatasu-1519	126	25	hat	hat	NOUN
cieatasu-1519	126	26	or	or	CCONJ
cieatasu-1519	126	27	one	one	NUM
cieatasu-1519	126	28	umbrella	umbrella	NOUN
cieatasu-1519	126	29	should	should	AUX
cieatasu-1519	126	30	be	be	AUX
cieatasu-1519	126	31	the	the	DET
cieatasu-1519	126	32	same	same	ADJ
cieatasu-1519	126	33	for	for	ADP
cieatasu-1519	126	34	both	both	DET
cieatasu-1519	126	35	equations	equation	NOUN
cieatasu-1519	126	36	.	.	PUNCT
cieatasu-1519	127	1	if	if	SCONJ
cieatasu-1519	127	2	a	a	DET
cieatasu-1519	127	3	student	student	NOUN
cieatasu-1519	127	4	neglected	neglect	VERB
cieatasu-1519	127	5	this	this	DET
cieatasu-1519	127	6	fact	fact	NOUN
cieatasu-1519	127	7	,	,	PUNCT
cieatasu-1519	127	8	then	then	ADV
cieatasu-1519	127	9	the	the	DET
cieatasu-1519	127	10	student	student	NOUN
cieatasu-1519	127	11	could	could	AUX
cieatasu-1519	127	12	not	not	PART
cieatasu-1519	127	13	solve	solve	VERB
cieatasu-1519	127	14	the	the	DET
cieatasu-1519	127	15	problem	problem	NOUN
cieatasu-1519	127	16	correctly	correctly	ADV
cieatasu-1519	127	17	,	,	PUNCT
cieatasu-1519	127	18	and	and	CCONJ
cieatasu-1519	127	19	teachers	teacher	NOUN
cieatasu-1519	127	20	saw	see	VERB
cieatasu-1519	127	21	this	this	PRON
cieatasu-1519	127	22	as	as	ADP
cieatasu-1519	127	23	a	a	DET
cieatasu-1519	127	24	major	major	ADJ
cieatasu-1519	127	25	deficiency	deficiency	NOUN
cieatasu-1519	127	26	.	.	PUNCT
cieatasu-1519	128	1	one	one	NUM
cieatasu-1519	128	2	teacher	teacher	NOUN
cieatasu-1519	128	3	pointed	point	VERB
cieatasu-1519	128	4	out	out	ADP
cieatasu-1519	128	5	that	that	SCONJ
cieatasu-1519	128	6	a	a	DET
cieatasu-1519	128	7	certain	certain	ADJ
cieatasu-1519	128	8	student	student	NOUN
cieatasu-1519	128	9	(	(	PUNCT
cieatasu-1519	128	10	see	see	VERB
cieatasu-1519	128	11	an	an	DET
cieatasu-1519	128	12	example	example	NOUN
cieatasu-1519	128	13	in	in	ADP
cieatasu-1519	128	14	figure	figure	NOUN
cieatasu-1519	128	15	6	6	NUM
cieatasu-1519	128	16	)	)	PUNCT
cieatasu-1519	128	17	did	do	AUX
cieatasu-1519	128	18	not	not	PART
cieatasu-1519	128	19	understand	understand	VERB
cieatasu-1519	128	20	“	"	PUNCT
cieatasu-1519	128	21	the	the	DET
cieatasu-1519	128	22	directions	direction	NOUN
cieatasu-1519	128	23	(	(	PUNCT
cieatasu-1519	128	24	hat	hat	NOUN
cieatasu-1519	128	25	/	/	SYM
cieatasu-1519	128	26	umbrella	umbrella	NOUN
cieatasu-1519	128	27	cost	cost	NOUN
cieatasu-1519	128	28	should	should	AUX
cieatasu-1519	128	29	remain	remain	VERB
cieatasu-1519	128	30	constant	constant	ADJ
cieatasu-1519	128	31	throughout	throughout	ADP
cieatasu-1519	128	32	)	)	PUNCT
cieatasu-1519	128	33	”	"	PUNCT
cieatasu-1519	128	34	when	when	SCONJ
cieatasu-1519	128	35	working	work	VERB
cieatasu-1519	128	36	on	on	ADP
cieatasu-1519	128	37	this	this	DET
cieatasu-1519	128	38	problem	problem	NOUN
cieatasu-1519	128	39	.	.	PUNCT
cieatasu-1519	129	1	teachers	teacher	NOUN
cieatasu-1519	129	2	were	be	AUX
cieatasu-1519	129	3	gratified	gratify	VERB
cieatasu-1519	129	4	to	to	PART
cieatasu-1519	129	5	see	see	VERB
cieatasu-1519	129	6	some	some	DET
cieatasu-1519	129	7	students	student	NOUN
cieatasu-1519	129	8	bring	bring	VERB
cieatasu-1519	129	9	their	their	PRON
cieatasu-1519	129	10	previous	previous	ADJ
cieatasu-1519	129	11	knowledge	knowledge	NOUN
cieatasu-1519	129	12	such	such	ADJ
cieatasu-1519	129	13	as	as	ADP
cieatasu-1519	129	14	operational	operational	ADJ
cieatasu-1519	129	15	skills	skill	NOUN
cieatasu-1519	129	16	to	to	ADP
cieatasu-1519	129	17	the	the	DET
cieatasu-1519	129	18	solution	solution	NOUN
cieatasu-1519	129	19	process	process	NOUN
cieatasu-1519	129	20	.	.	PUNCT
cieatasu-1519	130	1	approximately	approximately	ADV
cieatasu-1519	130	2	30	30	NUM
cieatasu-1519	130	3	%	%	NOUN
cieatasu-1519	130	4	of	of	ADP
cieatasu-1519	130	5	the	the	DET
cieatasu-1519	130	6	teachers	teacher	NOUN
cieatasu-1519	130	7	valued	value	VERB
cieatasu-1519	130	8	that	that	SCONJ
cieatasu-1519	130	9	students	student	NOUN
cieatasu-1519	130	10	were	be	AUX
cieatasu-1519	130	11	able	able	ADJ
cieatasu-1519	130	12	to	to	PART
cieatasu-1519	130	13	carry	carry	VERB
cieatasu-1519	130	14	on	on	ADP
cieatasu-1519	130	15	computations	computation	NOUN
cieatasu-1519	130	16	correctly	correctly	ADV
cieatasu-1519	130	17	.	.	PUNCT
cieatasu-1519	131	1	the	the	DET
cieatasu-1519	131	2	teachers	teacher	NOUN
cieatasu-1519	131	3	(	(	PUNCT
cieatasu-1519	131	4	almost	almost	ADV
cieatasu-1519	131	5	43	43	NUM
cieatasu-1519	131	6	%	%	NOUN
cieatasu-1519	131	7	)	)	PUNCT
cieatasu-1519	131	8	noticed	notice	VERB
cieatasu-1519	131	9	that	that	SCONJ
cieatasu-1519	131	10	some	some	DET
cieatasu-1519	131	11	students	student	NOUN
cieatasu-1519	131	12	divided	divide	VERB
cieatasu-1519	131	13	a	a	DET
cieatasu-1519	131	14	total	total	ADJ
cieatasu-1519	131	15	price	price	NOUN
cieatasu-1519	131	16	by	by	ADP
cieatasu-1519	131	17	3	3	NUM
cieatasu-1519	131	18	when	when	SCONJ
cieatasu-1519	131	19	there	there	PRON
cieatasu-1519	131	20	were	be	VERB
cieatasu-1519	131	21	3	3	NUM
cieatasu-1519	131	22	items	item	NOUN
cieatasu-1519	131	23	in	in	ADP
cieatasu-1519	131	24	each	each	DET
cieatasu-1519	131	25	situation	situation	NOUN
cieatasu-1519	131	26	of	of	ADP
cieatasu-1519	131	27	the	the	DET
cieatasu-1519	131	28	problem	problem	NOUN
cieatasu-1519	131	29	.	.	PUNCT
cieatasu-1519	132	1	being	be	AUX
cieatasu-1519	132	2	able	able	ADJ
cieatasu-1519	132	3	to	to	PART
cieatasu-1519	132	4	take	take	VERB
cieatasu-1519	132	5	into	into	ADP
cieatasu-1519	132	6	account	account	NOUN
cieatasu-1519	132	7	both	both	DET
cieatasu-1519	132	8	equations	equation	NOUN
cieatasu-1519	132	9	and	and	CCONJ
cieatasu-1519	132	10	analyzing	analyze	VERB
cieatasu-1519	132	11	their	their	PRON
cieatasu-1519	132	12	relationship	relationship	NOUN
cieatasu-1519	132	13	leads	lead	VERB
cieatasu-1519	132	14	to	to	ADP
cieatasu-1519	132	15	the	the	DET
cieatasu-1519	132	16	conclusion	conclusion	NOUN
cieatasu-1519	132	17	that	that	SCONJ
cieatasu-1519	132	18	there	there	PRON
cieatasu-1519	132	19	is	be	VERB
cieatasu-1519	132	20	a	a	DET
cieatasu-1519	132	21	$	$	SYM
cieatasu-1519	132	22	4	4	NUM
cieatasu-1519	132	23	difference	difference	NOUN
cieatasu-1519	132	24	between	between	ADP
cieatasu-1519	132	25	the	the	DET
cieatasu-1519	132	26	price	price	NOUN
cieatasu-1519	132	27	of	of	ADP
cieatasu-1519	132	28	one	one	NUM
cieatasu-1519	132	29	hat	hat	NOUN
cieatasu-1519	132	30	and	and	CCONJ
cieatasu-1519	132	31	the	the	DET
cieatasu-1519	132	32	price	price	NOUN
cieatasu-1519	132	33	of	of	ADP
cieatasu-1519	132	34	one	one	NUM
cieatasu-1519	132	35	umbrella	umbrella	NOUN
cieatasu-1519	132	36	.	.	PUNCT
cieatasu-1519	133	1	whether	whether	SCONJ
cieatasu-1519	133	2	or	or	CCONJ
cieatasu-1519	133	3	not	not	PART
cieatasu-1519	133	4	a	a	DET
cieatasu-1519	133	5	student	student	NOUN
cieatasu-1519	133	6	was	be	AUX
cieatasu-1519	133	7	able	able	ADJ
cieatasu-1519	133	8	to	to	PART
cieatasu-1519	133	9	make	make	VERB
cieatasu-1519	133	10	this	this	DET
cieatasu-1519	133	11	conclusion	conclusion	NOUN
cieatasu-1519	133	12	was	be	AUX
cieatasu-1519	133	13	mentioned	mention	VERB
cieatasu-1519	133	14	by	by	ADP
cieatasu-1519	133	15	approximately	approximately	ADV
cieatasu-1519	133	16	40	40	NUM
cieatasu-1519	133	17	%	%	NOUN
cieatasu-1519	133	18	of	of	ADP
cieatasu-1519	133	19	the	the	DET
cieatasu-1519	133	20	teachers	teacher	NOUN
cieatasu-1519	133	21	.	.	PUNCT
cieatasu-1519	134	1	a	a	DET
cieatasu-1519	134	2	teacher	teacher	NOUN
cieatasu-1519	134	3	shared	share	VERB
cieatasu-1519	134	4	that	that	SCONJ
cieatasu-1519	134	5	she	she	PRON
cieatasu-1519	134	6	/	/	PRON
cieatasu-1519	134	7	he	he	PRON
cieatasu-1519	134	8	chose	choose	VERB
cieatasu-1519	134	9	the	the	DET
cieatasu-1519	134	10	student	student	NOUN
cieatasu-1519	134	11	work	work	NOUN
cieatasu-1519	134	12	shown	show	VERB
cieatasu-1519	134	13	in	in	ADP
cieatasu-1519	134	14	figure	figure	NOUN
cieatasu-1519	134	15	7	7	NUM
cieatasu-1519	134	16	,	,	PUNCT
cieatasu-1519	134	17	because	because	SCONJ
cieatasu-1519	134	18	the	the	DET
cieatasu-1519	134	19	student	student	NOUN
cieatasu-1519	134	20	“	"	PUNCT
cieatasu-1519	134	21	found	find	VERB
cieatasu-1519	134	22	that	that	SCONJ
cieatasu-1519	134	23	an	an	DET
cieatasu-1519	134	24	umbrella	umbrella	NOUN
cieatasu-1519	134	25	costs	cost	VERB
cieatasu-1519	134	26	$	$	SYM
cieatasu-1519	134	27	4	4	NUM
cieatasu-1519	134	28	more	more	ADJ
cieatasu-1519	134	29	than	than	ADP
cieatasu-1519	134	30	a	a	DET
cieatasu-1519	134	31	hat	hat	NOUN
cieatasu-1519	134	32	.	.	PUNCT
cieatasu-1519	135	1	he	he	PRON
cieatasu-1519	135	2	then	then	ADV
cieatasu-1519	135	3	used	use	VERB
cieatasu-1519	135	4	reasoning	reasoning	NOUN
cieatasu-1519	135	5	to	to	ADP
cieatasu-1519	135	6	$	$	SYM
cieatasu-1519	135	7	76-$4	76-$4	NUM
cieatasu-1519	135	8	for	for	ADP
cieatasu-1519	135	9	the	the	DET
cieatasu-1519	135	10	umbrella	umbrella	NOUN
cieatasu-1519	135	11	in	in	ADP
cieatasu-1519	135	12	row	row	NOUN
cieatasu-1519	135	13	2	2	NUM
cieatasu-1519	135	14	,	,	PUNCT
cieatasu-1519	135	15	and	and	CCONJ
cieatasu-1519	135	16	then	then	ADV
cieatasu-1519	135	17	divided	divide	VERB
cieatasu-1519	135	18	the	the	DET
cieatasu-1519	135	19	$	$	SYM
cieatasu-1519	135	20	72	72	NUM
cieatasu-1519	135	21	left	leave	VERB
cieatasu-1519	135	22	by	by	ADP
cieatasu-1519	135	23	3	3	NUM
cieatasu-1519	135	24	items	item	NOUN
cieatasu-1519	135	25	.	.	PUNCT
cieatasu-1519	135	26	”	"	PUNCT
cieatasu-1519	135	27	figure	figure	VERB
cieatasu-1519	135	28	6	6	NUM
cieatasu-1519	135	29	.	.	PUNCT
cieatasu-1519	135	30	assigning	assign	VERB
cieatasu-1519	135	31	different	different	ADJ
cieatasu-1519	135	32	prices	price	NOUN
cieatasu-1519	135	33	for	for	ADP
cieatasu-1519	135	34	items	item	NOUN
cieatasu-1519	135	35	.	.	PUNCT
cieatasu-1519	136	1	figure	figure	NOUN
cieatasu-1519	136	2	5	5	NUM
cieatasu-1519	136	3	.	.	PUNCT
cieatasu-1519	136	4	areas	area	NOUN
cieatasu-1519	136	5	of	of	ADP
cieatasu-1519	136	6	student	student	NOUN
cieatasu-1519	136	7	weakness	weakness	NOUN
cieatasu-1519	136	8	.	.	PUNCT
cieatasu-1519	137	1	matematical	matematical	ADJ
cieatasu-1519	137	2	accuracy	accuracy	NOUN
cieatasu-1519	137	3	17	17	NUM
cieatasu-1519	137	4	%	%	NOUN
cieatasu-1519	137	5	problem	problem	NOUN
cieatasu-1519	137	6	solving	solve	VERB
cieatasu-1519	137	7	18	18	NUM
cieatasu-1519	137	8	%	%	NOUN
cieatasu-1519	137	9	presentation	presentation	NOUN
cieatasu-1519	137	10	19	19	NUM
cieatasu-1519	137	11	%	%	NOUN
cieatasu-1519	137	12	representation	representation	NOUN
cieatasu-1519	137	13	22	22	NUM
cieatasu-1519	137	14	%	%	NOUN
cieatasu-1519	137	15	mathematical	mathematical	ADJ
cieatasu-1519	137	16	langugage	langugage	NOUN
cieatasu-1519	138	1	24	24	NUM
cieatasu-1519	138	2	%	%	NOUN
cieatasu-1519	138	3	lee	lee	PROPN
cieatasu-1519	138	4	&	&	CCONJ
cieatasu-1519	138	5	özgün	özgün	PROPN
cieatasu-1519	138	6	-	-	PUNCT
cieatasu-1519	138	7	koca	koca	NOUN
cieatasu-1519	138	8	:	:	PUNCT
cieatasu-1519	138	9	professional	professional	ADJ
cieatasu-1519	138	10	development	development	NOUN
cieatasu-1519	138	11	for	for	ADP
cieatasu-1519	138	12	mathematics	mathematics	NOUN
cieatasu-1519	138	13	teachers	teacher	NOUN
cieatasu-1519	138	14	:	:	PUNCT
cieatasu-1519	138	15	using	use	VERB
cieatasu-1519	138	16	task	task	NOUN
cieatasu-1519	138	17	design	design	NOUN
cieatasu-1519	138	18	and	and	CCONJ
cieatasu-1519	138	19	analysis	analysis	NOUN
cieatasu-1519	138	20	current	current	ADJ
cieatasu-1519	138	21	issues	issue	NOUN
cieatasu-1519	138	22	in	in	ADP
cieatasu-1519	138	23	education	education	NOUN
cieatasu-1519	138	24	,	,	PUNCT
cieatasu-1519	138	25	19(2	19(2	NUM
cieatasu-1519	138	26	)	)	PUNCT
cieatasu-1519	138	27	9	9	NUM
cieatasu-1519	138	28	teachers	teacher	NOUN
cieatasu-1519	138	29	valued	value	VERB
cieatasu-1519	138	30	the	the	DET
cieatasu-1519	138	31	heuristics	heuristic	NOUN
cieatasu-1519	138	32	used	use	VERB
cieatasu-1519	138	33	by	by	ADP
cieatasu-1519	138	34	students	student	NOUN
cieatasu-1519	138	35	during	during	ADP
cieatasu-1519	138	36	the	the	DET
cieatasu-1519	138	37	problem	problem	NOUN
cieatasu-1519	138	38	solving	solving	NOUN
cieatasu-1519	138	39	process	process	NOUN
cieatasu-1519	138	40	.	.	PUNCT
cieatasu-1519	139	1	the	the	DET
cieatasu-1519	139	2	most	most	ADV
cieatasu-1519	139	3	commonly	commonly	ADV
cieatasu-1519	139	4	used	use	VERB
cieatasu-1519	139	5	heuristic	heuristic	NOUN
cieatasu-1519	139	6	was	be	AUX
cieatasu-1519	139	7	the	the	DET
cieatasu-1519	139	8	guess	guess	NOUN
cieatasu-1519	139	9	and	and	CCONJ
cieatasu-1519	139	10	check	check	VERB
cieatasu-1519	139	11	method	method	NOUN
cieatasu-1519	139	12	,	,	PUNCT
cieatasu-1519	139	13	and	and	CCONJ
cieatasu-1519	139	14	approximately	approximately	ADV
cieatasu-1519	139	15	74	74	NUM
cieatasu-1519	139	16	%	%	NOUN
cieatasu-1519	139	17	of	of	ADP
cieatasu-1519	139	18	teachers	teacher	NOUN
cieatasu-1519	139	19	discussed	discuss	VERB
cieatasu-1519	139	20	this	this	PRON
cieatasu-1519	139	21	as	as	ADP
cieatasu-1519	139	22	one	one	NUM
cieatasu-1519	139	23	of	of	ADP
cieatasu-1519	139	24	the	the	DET
cieatasu-1519	139	25	reasons	reason	NOUN
cieatasu-1519	139	26	for	for	ADP
cieatasu-1519	139	27	selecting	select	VERB
cieatasu-1519	139	28	interesting	interesting	ADJ
cieatasu-1519	139	29	student	student	NOUN
cieatasu-1519	139	30	work	work	NOUN
cieatasu-1519	139	31	.	.	PUNCT
cieatasu-1519	140	1	some	some	PRON
cieatasu-1519	140	2	of	of	ADP
cieatasu-1519	140	3	the	the	DET
cieatasu-1519	140	4	teachers	teacher	NOUN
cieatasu-1519	140	5	highlighted	highlight	VERB
cieatasu-1519	140	6	that	that	SCONJ
cieatasu-1519	140	7	they	they	PRON
cieatasu-1519	140	8	especially	especially	ADV
cieatasu-1519	140	9	appreciated	appreciate	VERB
cieatasu-1519	140	10	a	a	DET
cieatasu-1519	140	11	student	student	NOUN
cieatasu-1519	140	12	’s	’s	PART
cieatasu-1519	140	13	use	use	NOUN
cieatasu-1519	140	14	of	of	ADP
cieatasu-1519	140	15	additional	additional	ADJ
cieatasu-1519	140	16	strategies	strategy	NOUN
cieatasu-1519	140	17	to	to	PART
cieatasu-1519	140	18	make	make	VERB
cieatasu-1519	140	19	an	an	DET
cieatasu-1519	140	20	informed	informed	ADJ
cieatasu-1519	140	21	guess	guess	NOUN
cieatasu-1519	140	22	.	.	PUNCT
cieatasu-1519	141	1	in	in	ADP
cieatasu-1519	141	2	one	one	NUM
cieatasu-1519	141	3	example	example	NOUN
cieatasu-1519	141	4	,	,	PUNCT
cieatasu-1519	141	5	a	a	DET
cieatasu-1519	141	6	student	student	NOUN
cieatasu-1519	141	7	noticed	notice	VERB
cieatasu-1519	141	8	the	the	DET
cieatasu-1519	141	9	$	$	SYM
cieatasu-1519	141	10	4	4	NUM
cieatasu-1519	141	11	difference	difference	NOUN
cieatasu-1519	141	12	,	,	PUNCT
cieatasu-1519	141	13	which	which	PRON
cieatasu-1519	141	14	subsequently	subsequently	ADV
cieatasu-1519	141	15	affected	affect	VERB
cieatasu-1519	141	16	their	their	PRON
cieatasu-1519	141	17	guess	guess	NOUN
cieatasu-1519	141	18	and	and	CCONJ
cieatasu-1519	141	19	check	check	VERB
cieatasu-1519	141	20	process	process	NOUN
cieatasu-1519	141	21	.	.	PUNCT
cieatasu-1519	142	1	other	other	ADJ
cieatasu-1519	142	2	students	student	NOUN
cieatasu-1519	142	3	,	,	PUNCT
cieatasu-1519	142	4	as	as	SCONJ
cieatasu-1519	142	5	described	describe	VERB
cieatasu-1519	142	6	by	by	ADP
cieatasu-1519	142	7	one	one	NUM
cieatasu-1519	142	8	of	of	ADP
cieatasu-1519	142	9	the	the	DET
cieatasu-1519	142	10	teachers	teacher	NOUN
cieatasu-1519	142	11	,	,	PUNCT
cieatasu-1519	142	12	informed	inform	VERB
cieatasu-1519	142	13	their	their	PRON
cieatasu-1519	142	14	guess	guess	NOUN
cieatasu-1519	142	15	and	and	CCONJ
cieatasu-1519	142	16	check	check	VERB
cieatasu-1519	142	17	process	process	NOUN
cieatasu-1519	142	18	after	after	ADP
cieatasu-1519	142	19	dividing	divide	VERB
cieatasu-1519	142	20	80	80	NUM
cieatasu-1519	142	21	or	or	CCONJ
cieatasu-1519	142	22	76	76	NUM
cieatasu-1519	142	23	by	by	ADP
cieatasu-1519	142	24	three	three	NUM
cieatasu-1519	142	25	.	.	PUNCT
cieatasu-1519	143	1	being	be	AUX
cieatasu-1519	143	2	able	able	ADJ
cieatasu-1519	143	3	to	to	PART
cieatasu-1519	143	4	use	use	VERB
cieatasu-1519	143	5	algebraic	algebraic	ADJ
cieatasu-1519	143	6	representations	representation	NOUN
cieatasu-1519	143	7	was	be	AUX
cieatasu-1519	143	8	mentioned	mention	VERB
cieatasu-1519	143	9	by	by	ADP
cieatasu-1519	143	10	five	five	NUM
cieatasu-1519	143	11	teachers	teacher	NOUN
cieatasu-1519	143	12	.	.	PUNCT
cieatasu-1519	144	1	a	a	DET
cieatasu-1519	144	2	teacher	teacher	NOUN
cieatasu-1519	144	3	explained	explain	VERB
cieatasu-1519	144	4	that	that	SCONJ
cieatasu-1519	144	5	even	even	ADV
cieatasu-1519	144	6	though	though	SCONJ
cieatasu-1519	144	7	some	some	DET
cieatasu-1519	144	8	students	student	NOUN
cieatasu-1519	144	9	did	do	AUX
cieatasu-1519	144	10	not	not	PART
cieatasu-1519	144	11	pursue	pursue	VERB
cieatasu-1519	144	12	the	the	DET
cieatasu-1519	144	13	algebraic	algebraic	ADJ
cieatasu-1519	144	14	approach	approach	NOUN
cieatasu-1519	144	15	to	to	PART
cieatasu-1519	144	16	solve	solve	VERB
cieatasu-1519	144	17	the	the	DET
cieatasu-1519	144	18	problem	problem	NOUN
cieatasu-1519	144	19	,	,	PUNCT
cieatasu-1519	144	20	constructing	construct	VERB
cieatasu-1519	144	21	an	an	DET
cieatasu-1519	144	22	algebraic	algebraic	ADJ
cieatasu-1519	144	23	representation	representation	NOUN
cieatasu-1519	144	24	was	be	AUX
cieatasu-1519	144	25	important	important	ADJ
cieatasu-1519	144	26	.	.	PUNCT
cieatasu-1519	145	1	two	two	NUM
cieatasu-1519	145	2	teachers	teacher	NOUN
cieatasu-1519	145	3	mentioned	mention	VERB
cieatasu-1519	145	4	the	the	DET
cieatasu-1519	145	5	similarity	similarity	NOUN
cieatasu-1519	145	6	between	between	ADP
cieatasu-1519	145	7	their	their	PRON
cieatasu-1519	145	8	own	own	ADJ
cieatasu-1519	145	9	solutions	solution	NOUN
cieatasu-1519	145	10	and	and	CCONJ
cieatasu-1519	145	11	the	the	DET
cieatasu-1519	145	12	student	student	NOUN
cieatasu-1519	145	13	solutions	solution	NOUN
cieatasu-1519	145	14	they	they	PRON
cieatasu-1519	145	15	selected	select	VERB
cieatasu-1519	145	16	.	.	PUNCT
cieatasu-1519	146	1	finally	finally	ADV
cieatasu-1519	146	2	,	,	PUNCT
cieatasu-1519	146	3	even	even	ADV
cieatasu-1519	146	4	though	though	SCONJ
cieatasu-1519	146	5	checking	check	VERB
cieatasu-1519	146	6	a	a	DET
cieatasu-1519	146	7	solution	solution	NOUN
cieatasu-1519	146	8	should	should	AUX
cieatasu-1519	146	9	happen	happen	VERB
cieatasu-1519	146	10	naturally	naturally	ADV
cieatasu-1519	146	11	during	during	ADP
cieatasu-1519	146	12	the	the	DET
cieatasu-1519	146	13	guess	guess	NOUN
cieatasu-1519	146	14	and	and	CCONJ
cieatasu-1519	146	15	check	check	VERB
cieatasu-1519	146	16	method	method	NOUN
cieatasu-1519	146	17	,	,	PUNCT
cieatasu-1519	146	18	almost	almost	ADV
cieatasu-1519	146	19	22	22	NUM
cieatasu-1519	146	20	%	%	NOUN
cieatasu-1519	146	21	of	of	ADP
cieatasu-1519	146	22	the	the	DET
cieatasu-1519	146	23	teachers	teacher	NOUN
cieatasu-1519	146	24	highlighted	highlight	VERB
cieatasu-1519	146	25	the	the	DET
cieatasu-1519	146	26	importance	importance	NOUN
cieatasu-1519	146	27	of	of	ADP
cieatasu-1519	146	28	checking	check	VERB
cieatasu-1519	146	29	a	a	DET
cieatasu-1519	146	30	solution	solution	NOUN
cieatasu-1519	146	31	/	/	SYM
cieatasu-1519	146	32	looking	look	VERB
cieatasu-1519	146	33	back	back	ADV
cieatasu-1519	146	34	in	in	ADP
cieatasu-1519	146	35	the	the	DET
cieatasu-1519	146	36	problem	problem	NOUN
cieatasu-1519	146	37	solving	solving	NOUN
cieatasu-1519	146	38	process	process	NOUN
cieatasu-1519	146	39	.	.	PUNCT
cieatasu-1519	147	1	teacher	teacher	NOUN
cieatasu-1519	147	2	ability	ability	NOUN
cieatasu-1519	147	3	to	to	PART
cieatasu-1519	147	4	develop	develop	VERB
cieatasu-1519	147	5	high	high	ADJ
cieatasu-1519	147	6	quality	quality	NOUN
cieatasu-1519	147	7	tasks	task	NOUN
cieatasu-1519	147	8	:	:	PUNCT
cieatasu-1519	147	9	revision	revision	NOUN
cieatasu-1519	147	10	pattern	pattern	NOUN
cieatasu-1519	147	11	when	when	SCONJ
cieatasu-1519	147	12	analyzing	analyze	VERB
cieatasu-1519	147	13	the	the	DET
cieatasu-1519	147	14	changes	change	NOUN
cieatasu-1519	147	15	that	that	PRON
cieatasu-1519	147	16	teachers	teacher	NOUN
cieatasu-1519	147	17	made	make	VERB
cieatasu-1519	147	18	to	to	ADP
cieatasu-1519	147	19	the	the	DET
cieatasu-1519	147	20	task	task	NOUN
cieatasu-1519	147	21	,	,	PUNCT
cieatasu-1519	147	22	the	the	DET
cieatasu-1519	147	23	main	main	ADJ
cieatasu-1519	147	24	categories	category	NOUN
cieatasu-1519	147	25	for	for	ADP
cieatasu-1519	147	26	revisions	revision	NOUN
cieatasu-1519	147	27	were	be	AUX
cieatasu-1519	147	28	contextual	contextual	ADJ
cieatasu-1519	147	29	changes	change	NOUN
cieatasu-1519	147	30	,	,	PUNCT
cieatasu-1519	147	31	conceptual	conceptual	ADJ
cieatasu-1519	147	32	changes	change	NOUN
cieatasu-1519	147	33	,	,	PUNCT
cieatasu-1519	147	34	procedural	procedural	ADJ
cieatasu-1519	147	35	changes	change	NOUN
cieatasu-1519	147	36	,	,	PUNCT
cieatasu-1519	147	37	and	and	CCONJ
cieatasu-1519	147	38	format	format	VERB
cieatasu-1519	147	39	related	relate	VERB
cieatasu-1519	147	40	changes	change	NOUN
cieatasu-1519	147	41	.	.	PUNCT
cieatasu-1519	148	1	teachers	teacher	NOUN
cieatasu-1519	148	2	made	make	VERB
cieatasu-1519	148	3	two	two	NUM
cieatasu-1519	148	4	different	different	ADJ
cieatasu-1519	148	5	types	type	NOUN
cieatasu-1519	148	6	of	of	ADP
cieatasu-1519	148	7	contextual	contextual	ADJ
cieatasu-1519	148	8	changes	change	NOUN
cieatasu-1519	148	9	(	(	PUNCT
cieatasu-1519	148	10	32	32	NUM
cieatasu-1519	148	11	%	%	NOUN
cieatasu-1519	148	12	)	)	PUNCT
cieatasu-1519	148	13	to	to	ADP
cieatasu-1519	148	14	the	the	DET
cieatasu-1519	148	15	original	original	ADJ
cieatasu-1519	148	16	problem	problem	NOUN
cieatasu-1519	148	17	:	:	PUNCT
cieatasu-1519	148	18	enhancing	enhance	VERB
cieatasu-1519	148	19	the	the	DET
cieatasu-1519	148	20	story	story	NOUN
cieatasu-1519	148	21	by	by	ADP
cieatasu-1519	148	22	giving	give	VERB
cieatasu-1519	148	23	more	more	ADJ
cieatasu-1519	148	24	background	background	NOUN
cieatasu-1519	148	25	to	to	ADP
cieatasu-1519	148	26	the	the	DET
cieatasu-1519	148	27	story	story	NOUN
cieatasu-1519	148	28	and	and	CCONJ
cieatasu-1519	148	29	changing	change	VERB
cieatasu-1519	148	30	the	the	DET
cieatasu-1519	148	31	objects	object	NOUN
cieatasu-1519	148	32	in	in	ADP
cieatasu-1519	148	33	the	the	DET
cieatasu-1519	148	34	story	story	NOUN
cieatasu-1519	148	35	.	.	PUNCT
cieatasu-1519	149	1	conceptual	conceptual	ADJ
cieatasu-1519	149	2	changes	change	NOUN
cieatasu-1519	149	3	(	(	PUNCT
cieatasu-1519	149	4	38	38	NUM
cieatasu-1519	149	5	%	%	NOUN
cieatasu-1519	149	6	)	)	PUNCT
cieatasu-1519	149	7	were	be	AUX
cieatasu-1519	149	8	made	make	VERB
cieatasu-1519	149	9	by	by	ADP
cieatasu-1519	149	10	changing	change	VERB
cieatasu-1519	149	11	the	the	DET
cieatasu-1519	149	12	pattern	pattern	NOUN
cieatasu-1519	149	13	of	of	ADP
cieatasu-1519	149	14	objects	object	NOUN
cieatasu-1519	149	15	,	,	PUNCT
cieatasu-1519	149	16	key	key	ADJ
cieatasu-1519	149	17	questions	question	NOUN
cieatasu-1519	149	18	,	,	PUNCT
cieatasu-1519	149	19	mathematical	mathematical	ADJ
cieatasu-1519	149	20	signs	sign	NOUN
cieatasu-1519	149	21	,	,	PUNCT
cieatasu-1519	149	22	comparisons	comparison	NOUN
cieatasu-1519	149	23	,	,	PUNCT
cieatasu-1519	149	24	or	or	CCONJ
cieatasu-1519	149	25	dollar	dollar	NOUN
cieatasu-1519	149	26	amounts	amount	NOUN
cieatasu-1519	149	27	.	.	PUNCT
cieatasu-1519	150	1	teachers	teacher	NOUN
cieatasu-1519	150	2	also	also	ADV
cieatasu-1519	150	3	revised	revise	VERB
cieatasu-1519	150	4	the	the	DET
cieatasu-1519	150	5	task	task	NOUN
cieatasu-1519	150	6	to	to	PART
cieatasu-1519	150	7	help	help	VERB
cieatasu-1519	150	8	students	student	NOUN
cieatasu-1519	150	9	at	at	ADP
cieatasu-1519	150	10	the	the	DET
cieatasu-1519	150	11	procedural	procedural	ADJ
cieatasu-1519	150	12	level	level	NOUN
cieatasu-1519	150	13	(	(	PUNCT
cieatasu-1519	150	14	23	23	NUM
cieatasu-1519	150	15	%	%	NOUN
cieatasu-1519	150	16	)	)	PUNCT
cieatasu-1519	150	17	by	by	ADP
cieatasu-1519	150	18	adjusting	adjust	VERB
cieatasu-1519	150	19	the	the	DET
cieatasu-1519	150	20	numbers	number	NOUN
cieatasu-1519	150	21	in	in	ADP
cieatasu-1519	150	22	the	the	DET
cieatasu-1519	150	23	problem	problem	NOUN
cieatasu-1519	150	24	or	or	CCONJ
cieatasu-1519	150	25	asking	ask	VERB
cieatasu-1519	150	26	students	student	NOUN
cieatasu-1519	150	27	to	to	PART
cieatasu-1519	150	28	create	create	VERB
cieatasu-1519	150	29	their	their	PRON
cieatasu-1519	150	30	own	own	ADJ
cieatasu-1519	150	31	combination	combination	NOUN
cieatasu-1519	150	32	before	before	ADP
cieatasu-1519	150	33	or	or	CCONJ
cieatasu-1519	150	34	after	after	ADP
cieatasu-1519	150	35	solving	solve	VERB
cieatasu-1519	150	36	the	the	DET
cieatasu-1519	150	37	problem	problem	NOUN
cieatasu-1519	150	38	.	.	PUNCT
cieatasu-1519	151	1	some	some	DET
cieatasu-1519	151	2	teachers	teacher	NOUN
cieatasu-1519	151	3	changed	change	VERB
cieatasu-1519	151	4	the	the	DET
cieatasu-1519	151	5	format	format	NOUN
cieatasu-1519	151	6	(	(	PUNCT
cieatasu-1519	151	7	7	7	NUM
cieatasu-1519	151	8	%	%	NOUN
cieatasu-1519	151	9	)	)	PUNCT
cieatasu-1519	151	10	of	of	ADP
cieatasu-1519	151	11	the	the	DET
cieatasu-1519	151	12	task	task	NOUN
cieatasu-1519	151	13	by	by	ADP
cieatasu-1519	151	14	providing	provide	VERB
cieatasu-1519	151	15	a	a	DET
cieatasu-1519	151	16	chart	chart	NOUN
cieatasu-1519	151	17	to	to	PART
cieatasu-1519	151	18	help	help	VERB
cieatasu-1519	151	19	students	student	NOUN
cieatasu-1519	151	20	organize	organize	VERB
cieatasu-1519	151	21	their	their	PRON
cieatasu-1519	151	22	thoughts	thought	NOUN
cieatasu-1519	151	23	and	and	CCONJ
cieatasu-1519	151	24	keep	keep	VERB
cieatasu-1519	151	25	track	track	NOUN
cieatasu-1519	151	26	of	of	ADP
cieatasu-1519	151	27	their	their	PRON
cieatasu-1519	151	28	guesses	guess	NOUN
cieatasu-1519	151	29	or	or	CCONJ
cieatasu-1519	151	30	providing	provide	VERB
cieatasu-1519	151	31	boxes	box	NOUN
cieatasu-1519	151	32	to	to	PART
cieatasu-1519	151	33	enter	enter	VERB
cieatasu-1519	151	34	specific	specific	ADJ
cieatasu-1519	151	35	answers	answer	NOUN
cieatasu-1519	151	36	.	.	PUNCT
cieatasu-1519	152	1	figure	figure	VERB
cieatasu-1519	152	2	8	8	NUM
cieatasu-1519	152	3	summarizes	summarize	NOUN
cieatasu-1519	152	4	details	detail	NOUN
cieatasu-1519	152	5	within	within	ADP
cieatasu-1519	152	6	each	each	DET
cieatasu-1519	152	7	revision	revision	NOUN
cieatasu-1519	152	8	area	area	NOUN
cieatasu-1519	152	9	.	.	PUNCT
cieatasu-1519	153	1	teachers	teacher	NOUN
cieatasu-1519	153	2	used	use	VERB
cieatasu-1519	153	3	different	different	ADJ
cieatasu-1519	153	4	objects	object	NOUN
cieatasu-1519	153	5	and	and	CCONJ
cieatasu-1519	153	6	different	different	ADJ
cieatasu-1519	153	7	numbers	number	NOUN
cieatasu-1519	153	8	to	to	PART
cieatasu-1519	153	9	revise	revise	VERB
cieatasu-1519	153	10	the	the	DET
cieatasu-1519	153	11	original	original	ADJ
cieatasu-1519	153	12	task	task	NOUN
cieatasu-1519	153	13	.	.	PUNCT
cieatasu-1519	154	1	changing	change	VERB
cieatasu-1519	154	2	the	the	DET
cieatasu-1519	154	3	story	story	NOUN
cieatasu-1519	154	4	(	(	PUNCT
cieatasu-1519	154	5	direction	direction	NOUN
cieatasu-1519	154	6	)	)	PUNCT
cieatasu-1519	154	7	and	and	CCONJ
cieatasu-1519	154	8	pattern	pattern	NOUN
cieatasu-1519	154	9	were	be	AUX
cieatasu-1519	154	10	also	also	ADV
cieatasu-1519	154	11	common	common	ADJ
cieatasu-1519	154	12	ways	way	NOUN
cieatasu-1519	154	13	of	of	ADP
cieatasu-1519	154	14	task	task	NOUN
cieatasu-1519	154	15	revision	revision	NOUN
cieatasu-1519	154	16	.	.	PUNCT
cieatasu-1519	155	1	the	the	DET
cieatasu-1519	155	2	original	original	ADJ
cieatasu-1519	155	3	problem	problem	NOUN
cieatasu-1519	155	4	had	have	VERB
cieatasu-1519	155	5	a	a	DET
cieatasu-1519	155	6	pattern	pattern	NOUN
cieatasu-1519	155	7	umbrella	umbrella	NOUN
cieatasu-1519	155	8	,	,	PUNCT
cieatasu-1519	155	9	hat	hat	NOUN
cieatasu-1519	155	10	,	,	PUNCT
cieatasu-1519	155	11	umbrella	umbrella	NOUN
cieatasu-1519	155	12	(	(	PUNCT
cieatasu-1519	155	13	uhu	uhu	NOUN
cieatasu-1519	155	14	)	)	PUNCT
cieatasu-1519	155	15	and	and	CCONJ
cieatasu-1519	155	16	uhh	uhh	NOUN
cieatasu-1519	155	17	.	.	PUNCT
cieatasu-1519	156	1	as	as	SCONJ
cieatasu-1519	156	2	can	can	AUX
cieatasu-1519	156	3	be	be	AUX
cieatasu-1519	156	4	seen	see	VERB
cieatasu-1519	156	5	in	in	ADP
cieatasu-1519	156	6	figure	figure	NOUN
cieatasu-1519	156	7	8	8	NUM
cieatasu-1519	156	8	,	,	PUNCT
cieatasu-1519	156	9	revisions	revision	NOUN
cieatasu-1519	156	10	to	to	ADP
cieatasu-1519	156	11	the	the	DET
cieatasu-1519	156	12	pattern	pattern	NOUN
cieatasu-1519	156	13	of	of	ADP
cieatasu-1519	156	14	the	the	DET
cieatasu-1519	156	15	objects	object	NOUN
cieatasu-1519	156	16	were	be	AUX
cieatasu-1519	156	17	the	the	DET
cieatasu-1519	156	18	most	most	ADV
cieatasu-1519	156	19	commonly	commonly	ADV
cieatasu-1519	156	20	adopted	adopt	VERB
cieatasu-1519	156	21	approach	approach	NOUN
cieatasu-1519	156	22	in	in	ADP
cieatasu-1519	156	23	revising	revise	VERB
cieatasu-1519	156	24	the	the	DET
cieatasu-1519	156	25	task	task	NOUN
cieatasu-1519	156	26	conceptually	conceptually	ADV
cieatasu-1519	156	27	.	.	PUNCT
cieatasu-1519	157	1	some	some	DET
cieatasu-1519	157	2	early	early	ADJ
cieatasu-1519	157	3	grade	grade	NOUN
cieatasu-1519	157	4	teachers	teacher	NOUN
cieatasu-1519	157	5	provided	provide	VERB
cieatasu-1519	157	6	patterns	pattern	NOUN
cieatasu-1519	157	7	with	with	ADP
cieatasu-1519	157	8	only	only	ADV
cieatasu-1519	157	9	one	one	NUM
cieatasu-1519	157	10	object	object	NOUN
cieatasu-1519	157	11	,	,	PUNCT
cieatasu-1519	157	12	and	and	CCONJ
cieatasu-1519	157	13	other	other	ADJ
cieatasu-1519	157	14	changes	change	NOUN
cieatasu-1519	157	15	focused	focus	VERB
cieatasu-1519	157	16	on	on	ADP
cieatasu-1519	157	17	making	make	VERB
cieatasu-1519	157	18	sure	sure	ADJ
cieatasu-1519	157	19	that	that	SCONJ
cieatasu-1519	157	20	students	student	NOUN
cieatasu-1519	157	21	would	would	AUX
cieatasu-1519	157	22	understand	understand	VERB
cieatasu-1519	157	23	that	that	SCONJ
cieatasu-1519	157	24	a	a	DET
cieatasu-1519	157	25	hat	hat	NOUN
cieatasu-1519	157	26	in	in	ADP
cieatasu-1519	157	27	the	the	DET
cieatasu-1519	157	28	first	first	ADJ
cieatasu-1519	157	29	pattern	pattern	NOUN
cieatasu-1519	157	30	and	and	CCONJ
cieatasu-1519	157	31	the	the	DET
cieatasu-1519	157	32	second	second	ADJ
cieatasu-1519	157	33	pattern	pattern	NOUN
cieatasu-1519	157	34	would	would	AUX
cieatasu-1519	157	35	be	be	AUX
cieatasu-1519	157	36	same	same	ADJ
cieatasu-1519	157	37	price	price	NOUN
cieatasu-1519	157	38	(	(	PUNCT
cieatasu-1519	157	39	see	see	VERB
cieatasu-1519	157	40	figure	figure	NOUN
cieatasu-1519	157	41	9	9	NUM
cieatasu-1519	157	42	)	)	PUNCT
cieatasu-1519	157	43	.	.	PUNCT
cieatasu-1519	158	1	also	also	ADV
cieatasu-1519	158	2	,	,	PUNCT
cieatasu-1519	158	3	another	another	DET
cieatasu-1519	158	4	way	way	NOUN
cieatasu-1519	158	5	to	to	PART
cieatasu-1519	158	6	revise	revise	VERB
cieatasu-1519	158	7	the	the	DET
cieatasu-1519	158	8	task	task	NOUN
cieatasu-1519	158	9	conceptually	conceptually	ADV
cieatasu-1519	158	10	was	be	AUX
cieatasu-1519	158	11	to	to	PART
cieatasu-1519	158	12	change	change	VERB
cieatasu-1519	158	13	key	key	ADJ
cieatasu-1519	158	14	questions	question	NOUN
cieatasu-1519	158	15	.	.	PUNCT
cieatasu-1519	159	1	for	for	ADP
cieatasu-1519	159	2	example	example	NOUN
cieatasu-1519	159	3	,	,	PUNCT
cieatasu-1519	159	4	instead	instead	ADV
cieatasu-1519	159	5	of	of	ADP
cieatasu-1519	159	6	providing	provide	VERB
cieatasu-1519	159	7	the	the	DET
cieatasu-1519	159	8	total	total	ADJ
cieatasu-1519	159	9	prices	price	NOUN
cieatasu-1519	159	10	of	of	ADP
cieatasu-1519	159	11	multiple	multiple	ADJ
cieatasu-1519	159	12	items	item	NOUN
cieatasu-1519	159	13	,	,	PUNCT
cieatasu-1519	159	14	revised	revise	VERB
cieatasu-1519	159	15	tasks	task	NOUN
cieatasu-1519	159	16	provide	provide	VERB
cieatasu-1519	159	17	one	one	NUM
cieatasu-1519	159	18	of	of	ADP
cieatasu-1519	159	19	two	two	NUM
cieatasu-1519	159	20	items	item	NOUN
cieatasu-1519	159	21	and	and	CCONJ
cieatasu-1519	159	22	total	total	ADJ
cieatasu-1519	159	23	prices	price	NOUN
cieatasu-1519	159	24	and	and	CCONJ
cieatasu-1519	159	25	ask	ask	VERB
cieatasu-1519	159	26	students	student	NOUN
cieatasu-1519	159	27	to	to	PART
cieatasu-1519	159	28	find	find	VERB
cieatasu-1519	159	29	the	the	DET
cieatasu-1519	159	30	price	price	NOUN
cieatasu-1519	159	31	of	of	ADP
cieatasu-1519	159	32	the	the	DET
cieatasu-1519	159	33	other	other	ADJ
cieatasu-1519	159	34	item	item	NOUN
cieatasu-1519	159	35	.	.	PUNCT
cieatasu-1519	160	1	others	other	NOUN
cieatasu-1519	160	2	asked	ask	VERB
cieatasu-1519	160	3	additional	additional	ADJ
cieatasu-1519	160	4	questions	question	NOUN
cieatasu-1519	160	5	such	such	ADJ
cieatasu-1519	160	6	as	as	ADP
cieatasu-1519	160	7	the	the	DET
cieatasu-1519	160	8	price	price	NOUN
cieatasu-1519	160	9	after	after	ADP
cieatasu-1519	160	10	tax	tax	NOUN
cieatasu-1519	160	11	or	or	CCONJ
cieatasu-1519	160	12	discount	discount	NOUN
cieatasu-1519	160	13	.	.	PUNCT
cieatasu-1519	161	1	the	the	DET
cieatasu-1519	161	2	last	last	ADJ
cieatasu-1519	161	3	conceptual	conceptual	ADJ
cieatasu-1519	161	4	changes	change	NOUN
cieatasu-1519	161	5	were	be	AUX
cieatasu-1519	161	6	about	about	ADP
cieatasu-1519	161	7	representation	representation	NOUN
cieatasu-1519	161	8	of	of	ADP
cieatasu-1519	161	9	the	the	DET
cieatasu-1519	161	10	figure	figure	NOUN
cieatasu-1519	161	11	7	7	NUM
cieatasu-1519	161	12	.	.	PUNCT
cieatasu-1519	161	13	price	price	NOUN
cieatasu-1519	161	14	difference	difference	NOUN
cieatasu-1519	161	15	.	.	PUNCT
cieatasu-1519	162	1	lee	lee	PROPN
cieatasu-1519	162	2	&	&	CCONJ
cieatasu-1519	162	3	özgün	özgün	PROPN
cieatasu-1519	162	4	-	-	PUNCT
cieatasu-1519	162	5	koca	koca	NOUN
cieatasu-1519	162	6	:	:	PUNCT
cieatasu-1519	162	7	professional	professional	ADJ
cieatasu-1519	162	8	development	development	NOUN
cieatasu-1519	162	9	for	for	ADP
cieatasu-1519	162	10	mathematics	mathematics	NOUN
cieatasu-1519	162	11	teachers	teacher	NOUN
cieatasu-1519	162	12	:	:	PUNCT
cieatasu-1519	162	13	using	use	VERB
cieatasu-1519	162	14	task	task	NOUN
cieatasu-1519	162	15	design	design	NOUN
cieatasu-1519	162	16	and	and	CCONJ
cieatasu-1519	162	17	analysis	analysis	NOUN
cieatasu-1519	162	18	current	current	ADJ
cieatasu-1519	162	19	issues	issue	NOUN
cieatasu-1519	162	20	in	in	ADP
cieatasu-1519	162	21	education	education	NOUN
cieatasu-1519	162	22	,	,	PUNCT
cieatasu-1519	162	23	19(2	19(2	NUM
cieatasu-1519	162	24	)	)	PUNCT
cieatasu-1519	162	25	10	10	NUM
cieatasu-1519	162	26	problem	problem	NOUN
cieatasu-1519	162	27	.	.	PUNCT
cieatasu-1519	163	1	some	some	DET
cieatasu-1519	163	2	teachers	teacher	NOUN
cieatasu-1519	163	3	added	add	VERB
cieatasu-1519	163	4	plus	plus	CCONJ
cieatasu-1519	163	5	signs	sign	NOUN
cieatasu-1519	163	6	or	or	CCONJ
cieatasu-1519	163	7	equal	equal	ADJ
cieatasu-1519	163	8	signs	sign	NOUN
cieatasu-1519	163	9	between	between	ADP
cieatasu-1519	163	10	objects	object	NOUN
cieatasu-1519	163	11	with	with	ADP
cieatasu-1519	163	12	the	the	DET
cieatasu-1519	163	13	aim	aim	NOUN
cieatasu-1519	163	14	of	of	ADP
cieatasu-1519	163	15	helping	help	VERB
cieatasu-1519	163	16	students	student	NOUN
cieatasu-1519	163	17	transfer	transfer	VERB
cieatasu-1519	163	18	the	the	DET
cieatasu-1519	163	19	problem	problem	NOUN
cieatasu-1519	163	20	from	from	ADP
cieatasu-1519	163	21	the	the	DET
cieatasu-1519	163	22	contextual	contextual	ADJ
cieatasu-1519	163	23	world	world	NOUN
cieatasu-1519	163	24	to	to	ADP
cieatasu-1519	163	25	the	the	DET
cieatasu-1519	163	26	mathematical	mathematical	ADJ
cieatasu-1519	163	27	world	world	NOUN
cieatasu-1519	163	28	.	.	PUNCT
cieatasu-1519	164	1	teachers	teacher	NOUN
cieatasu-1519	164	2	also	also	ADV
cieatasu-1519	164	3	revised	revise	VERB
cieatasu-1519	164	4	the	the	DET
cieatasu-1519	164	5	task	task	NOUN
cieatasu-1519	164	6	to	to	PART
cieatasu-1519	164	7	help	help	VERB
cieatasu-1519	164	8	students	student	NOUN
cieatasu-1519	164	9	at	at	ADP
cieatasu-1519	164	10	the	the	DET
cieatasu-1519	164	11	procedural	procedural	ADJ
cieatasu-1519	164	12	level	level	NOUN
cieatasu-1519	164	13	by	by	ADP
cieatasu-1519	164	14	adjusting	adjust	VERB
cieatasu-1519	164	15	the	the	DET
cieatasu-1519	164	16	numbers	number	NOUN
cieatasu-1519	164	17	in	in	ADP
cieatasu-1519	164	18	the	the	DET
cieatasu-1519	164	19	problem	problem	NOUN
cieatasu-1519	164	20	,	,	PUNCT
cieatasu-1519	164	21	or	or	CCONJ
cieatasu-1519	164	22	asked	ask	VERB
cieatasu-1519	164	23	students	student	NOUN
cieatasu-1519	164	24	to	to	PART
cieatasu-1519	164	25	create	create	VERB
cieatasu-1519	164	26	their	their	PRON
cieatasu-1519	164	27	own	own	ADJ
cieatasu-1519	164	28	combinations	combination	NOUN
cieatasu-1519	164	29	before	before	ADP
cieatasu-1519	164	30	or	or	CCONJ
cieatasu-1519	164	31	after	after	ADP
cieatasu-1519	164	32	solving	solve	VERB
cieatasu-1519	164	33	the	the	DET
cieatasu-1519	164	34	problem	problem	NOUN
cieatasu-1519	164	35	.	.	PUNCT
cieatasu-1519	165	1	figure	figure	NOUN
cieatasu-1519	165	2	8	8	NUM
cieatasu-1519	165	3	.	.	PUNCT
cieatasu-1519	166	1	task	task	NOUN
cieatasu-1519	166	2	revision	revision	NOUN
cieatasu-1519	166	3	pattern	pattern	NOUN
cieatasu-1519	166	4	.	.	PUNCT
cieatasu-1519	167	1	figure	figure	NOUN
cieatasu-1519	167	2	9	9	NUM
cieatasu-1519	167	3	.	.	PUNCT
cieatasu-1519	167	4	task	task	NOUN
cieatasu-1519	167	5	revision	revision	NOUN
cieatasu-1519	167	6	example	example	NOUN
cieatasu-1519	167	7	.	.	PUNCT
cieatasu-1519	168	1	the	the	DET
cieatasu-1519	168	2	findings	finding	NOUN
cieatasu-1519	168	3	of	of	ADP
cieatasu-1519	168	4	the	the	DET
cieatasu-1519	168	5	study	study	NOUN
cieatasu-1519	168	6	suggest	suggest	VERB
cieatasu-1519	168	7	that	that	SCONJ
cieatasu-1519	168	8	teachers	teacher	NOUN
cieatasu-1519	168	9	attempted	attempt	VERB
cieatasu-1519	168	10	to	to	PART
cieatasu-1519	168	11	adjust	adjust	VERB
cieatasu-1519	168	12	the	the	DET
cieatasu-1519	168	13	level	level	NOUN
cieatasu-1519	168	14	of	of	ADP
cieatasu-1519	168	15	difficulty	difficulty	NOUN
cieatasu-1519	168	16	of	of	ADP
cieatasu-1519	168	17	the	the	DET
cieatasu-1519	168	18	task	task	NOUN
cieatasu-1519	168	19	based	base	VERB
cieatasu-1519	168	20	on	on	ADP
cieatasu-1519	168	21	their	their	PRON
cieatasu-1519	168	22	students	student	NOUN
cieatasu-1519	168	23	’	’	PART
cieatasu-1519	168	24	knowledge	knowledge	NOUN
cieatasu-1519	168	25	and	and	CCONJ
cieatasu-1519	168	26	tried	try	VERB
cieatasu-1519	168	27	to	to	PART
cieatasu-1519	168	28	engage	engage	VERB
cieatasu-1519	168	29	students	student	NOUN
cieatasu-1519	168	30	through	through	ADP
cieatasu-1519	168	31	contextual	contextual	ADJ
cieatasu-1519	168	32	changes	change	NOUN
cieatasu-1519	168	33	.	.	PUNCT
cieatasu-1519	169	1	for	for	ADP
cieatasu-1519	169	2	example	example	NOUN
cieatasu-1519	169	3	,	,	PUNCT
cieatasu-1519	169	4	some	some	DET
cieatasu-1519	169	5	teachers	teacher	NOUN
cieatasu-1519	169	6	changed	change	VERB
cieatasu-1519	169	7	the	the	DET
cieatasu-1519	169	8	items	item	NOUN
cieatasu-1519	169	9	in	in	ADP
cieatasu-1519	169	10	the	the	DET
cieatasu-1519	169	11	story	story	NOUN
cieatasu-1519	169	12	(	(	PUNCT
cieatasu-1519	169	13	e.g.	e.g.	ADV
cieatasu-1519	169	14	christmas	christmas	ADJ
cieatasu-1519	169	15	items	item	NOUN
cieatasu-1519	169	16	due	due	ADP
cieatasu-1519	169	17	to	to	ADP
cieatasu-1519	169	18	timing	timing	NOUN
cieatasu-1519	169	19	of	of	ADP
cieatasu-1519	169	20	the	the	DET
cieatasu-1519	169	21	academic	academic	ADJ
cieatasu-1519	169	22	year	year	NOUN
cieatasu-1519	169	23	as	as	ADP
cieatasu-1519	169	24	in	in	ADP
cieatasu-1519	169	25	figure	figure	NOUN
cieatasu-1519	169	26	9	9	NUM
cieatasu-1519	169	27	or	or	CCONJ
cieatasu-1519	169	28	toys	toy	NOUN
cieatasu-1519	169	29	)	)	PUNCT
cieatasu-1519	169	30	to	to	PART
cieatasu-1519	169	31	arouse	arouse	VERB
cieatasu-1519	169	32	the	the	DET
cieatasu-1519	169	33	interest	interest	NOUN
cieatasu-1519	169	34	of	of	ADP
cieatasu-1519	169	35	students	student	NOUN
cieatasu-1519	169	36	.	.	PUNCT
cieatasu-1519	170	1	other	other	ADJ
cieatasu-1519	170	2	teachers	teacher	NOUN
cieatasu-1519	170	3	changed	change	VERB
cieatasu-1519	170	4	the	the	DET
cieatasu-1519	170	5	story	story	NOUN
cieatasu-1519	170	6	altogether	altogether	ADV
cieatasu-1519	170	7	.	.	PUNCT
cieatasu-1519	171	1	however	however	ADV
cieatasu-1519	171	2	,	,	PUNCT
cieatasu-1519	171	3	there	there	PRON
cieatasu-1519	171	4	was	be	VERB
cieatasu-1519	171	5	not	not	PART
cieatasu-1519	171	6	enough	enough	ADJ
cieatasu-1519	171	7	evidence	evidence	NOUN
cieatasu-1519	171	8	to	to	PART
cieatasu-1519	171	9	claim	claim	VERB
cieatasu-1519	171	10	,	,	PUNCT
cieatasu-1519	171	11	according	accord	VERB
cieatasu-1519	171	12	to	to	ADP
cieatasu-1519	171	13	swan	swan	PROPN
cieatasu-1519	171	14	’s	’s	PART
cieatasu-1519	171	15	(	(	PUNCT
cieatasu-1519	171	16	2007	2007	NUM
cieatasu-1519	171	17	)	)	PUNCT
cieatasu-1519	171	18	criteria	criterion	NOUN
cieatasu-1519	171	19	,	,	PUNCT
cieatasu-1519	171	20	that	that	SCONJ
cieatasu-1519	171	21	the	the	DET
cieatasu-1519	171	22	teachers	teacher	NOUN
cieatasu-1519	171	23	of	of	ADP
cieatasu-1519	171	24	this	this	DET
cieatasu-1519	171	25	project	project	NOUN
cieatasu-1519	171	26	succeeded	succeed	VERB
cieatasu-1519	171	27	in	in	ADP
cieatasu-1519	171	28	developing	develop	VERB
cieatasu-1519	171	29	high	high	ADJ
cieatasu-1519	171	30	quality	quality	NOUN
cieatasu-1519	171	31	tasks	task	NOUN
cieatasu-1519	171	32	.	.	PUNCT
cieatasu-1519	172	1	developing	develop	VERB
cieatasu-1519	172	2	a	a	DET
cieatasu-1519	172	3	cognitively	cognitively	ADV
cieatasu-1519	172	4	demanding	demanding	ADJ
cieatasu-1519	172	5	quality	quality	NOUN
cieatasu-1519	172	6	task	task	NOUN
cieatasu-1519	172	7	requires	require	VERB
cieatasu-1519	172	8	the	the	DET
cieatasu-1519	172	9	teacher	teacher	NOUN
cieatasu-1519	172	10	to	to	PART
cieatasu-1519	172	11	be	be	AUX
cieatasu-1519	172	12	14	14	NUM
cieatasu-1519	172	13	%	%	NOUN
cieatasu-1519	172	14	18	18	NUM
cieatasu-1519	172	15	%	%	NOUN
cieatasu-1519	172	16	14	14	NUM
cieatasu-1519	172	17	%	%	NOUN
cieatasu-1519	172	18	8	8	NUM
cieatasu-1519	172	19	%	%	NOUN
cieatasu-1519	172	20	6	6	NUM
cieatasu-1519	172	21	%	%	NOUN
cieatasu-1519	172	22	2	2	NUM
cieatasu-1519	172	23	%	%	NOUN
cieatasu-1519	172	24	8	8	NUM
cieatasu-1519	172	25	%	%	NOUN
cieatasu-1519	172	26	18	18	NUM
cieatasu-1519	172	27	%	%	NOUN
cieatasu-1519	172	28	5	5	NUM
cieatasu-1519	172	29	%	%	NOUN
cieatasu-1519	172	30	7	7	NUM
cieatasu-1519	172	31	%	%	NOUN
cieatasu-1519	173	1	st	st	NOUN
cieatasu-1519	173	2	o	o	INTJ
cieatasu-1519	173	3	ry	ry	INTJ
cieatasu-1519	173	4	(	(	PUNCT
cieatasu-1519	173	5	in	in	ADP
cieatasu-1519	173	6	tr	tr	NOUN
cieatasu-1519	173	7	o	o	NOUN
cieatasu-1519	173	8	)	)	PUNCT
cieatasu-1519	174	1	d	d	NOUN
cieatasu-1519	174	2	if	if	SCONJ
cieatasu-1519	174	3	f	f	PROPN
cieatasu-1519	174	4	o	o	X
cieatasu-1519	174	5	b	b	X
cieatasu-1519	174	6	je	je	PROPN
cieatasu-1519	174	7	ct	ct	PROPN
cieatasu-1519	174	8	s	s	PROPN
cieatasu-1519	174	9	p	p	NOUN
cieatasu-1519	174	10	at	at	ADP
cieatasu-1519	174	11	te	te	PROPN
cieatasu-1519	174	12	rn	rn	PROPN
cieatasu-1519	174	13	ke	ke	PROPN
cieatasu-1519	174	14	y	y	PROPN
cieatasu-1519	174	15	q	q	PROPN
cieatasu-1519	174	16	u	u	PROPN
cieatasu-1519	174	17	e	e	X
cieatasu-1519	174	18	s	s	NOUN
cieatasu-1519	174	19	si	si	X
cieatasu-1519	174	20	gn	gn	PROPN
cieatasu-1519	174	21	s	s	PROPN
cieatasu-1519	174	22	co	co	NOUN
cieatasu-1519	174	23	m	m	PROPN
cieatasu-1519	174	24	p	p	PROPN
cieatasu-1519	174	25	ar	ar	PROPN
cieatasu-1519	174	26	is	be	AUX
cieatasu-1519	174	27	o	o	PROPN
cieatasu-1519	174	28	n	n	ADP
cieatasu-1519	174	29	sa	sa	NOUN
cieatasu-1519	174	30	m	m	VERB
cieatasu-1519	174	31	e	e	NOUN
cieatasu-1519	174	32	$	$	SYM
cieatasu-1519	174	33	d	d	NOUN
cieatasu-1519	174	34	if	if	SCONJ
cieatasu-1519	174	35	f	f	PROPN
cieatasu-1519	175	1	#	#	SYM
cieatasu-1519	175	2	s	s	PRON
cieatasu-1519	175	3	as	as	ADP
cieatasu-1519	175	4	k	k	PROPN
cieatasu-1519	175	5	st	st	PROPN
cieatasu-1519	175	6	s	s	PROPN
cieatasu-1519	175	7	cr	cr	NOUN
cieatasu-1519	175	8	e	e	X
cieatasu-1519	175	9	at	at	ADP
cieatasu-1519	175	10	e	e	PROPN
cieatasu-1519	175	11	/	/	SYM
cieatasu-1519	175	12	n	n	PROPN
cieatasu-1519	175	13	u	u	NOUN
cieatasu-1519	175	14	m	m	PROPN
cieatasu-1519	175	15	b	b	X
cieatasu-1519	175	16	er	er	INTJ
cieatasu-1519	175	17	se	se	INTJ
cieatasu-1519	175	18	n	n	ADP
cieatasu-1519	175	19	te	te	PROPN
cieatasu-1519	175	20	n	n	X
cieatasu-1519	175	21	ce	ce	X
cieatasu-1519	175	22	o	o	X
cieatasu-1519	175	23	rg	rg	PROPN
cieatasu-1519	175	24	c	c	PROPN
cieatasu-1519	175	25	h	h	PROPN
cieatasu-1519	175	26	ar	ar	PROPN
cieatasu-1519	175	27	t	t	PROPN
cieatasu-1519	175	28	contextual	contextual	ADJ
cieatasu-1519	175	29	conceptual	conceptual	ADJ
cieatasu-1519	175	30	procedural	procedural	ADJ
cieatasu-1519	175	31	format	format	NOUN
cieatasu-1519	175	32	lee	lee	PROPN
cieatasu-1519	175	33	&	&	CCONJ
cieatasu-1519	175	34	özgün	özgün	PROPN
cieatasu-1519	175	35	-	-	PUNCT
cieatasu-1519	175	36	koca	koca	NOUN
cieatasu-1519	175	37	:	:	PUNCT
cieatasu-1519	176	1	professional	professional	ADJ
cieatasu-1519	176	2	development	development	NOUN
cieatasu-1519	176	3	for	for	ADP
cieatasu-1519	176	4	mathematics	mathematics	NOUN
cieatasu-1519	176	5	teachers	teacher	NOUN
cieatasu-1519	176	6	:	:	PUNCT
cieatasu-1519	176	7	using	use	VERB
cieatasu-1519	176	8	task	task	NOUN
cieatasu-1519	176	9	design	design	NOUN
cieatasu-1519	176	10	and	and	CCONJ
cieatasu-1519	176	11	analysis	analysis	NOUN
cieatasu-1519	176	12	current	current	ADJ
cieatasu-1519	176	13	issues	issue	NOUN
cieatasu-1519	176	14	in	in	ADP
cieatasu-1519	176	15	education	education	NOUN
cieatasu-1519	176	16	,	,	PUNCT
cieatasu-1519	176	17	19(2	19(2	NUM
cieatasu-1519	176	18	)	)	PUNCT
cieatasu-1519	176	19	11	11	NUM
cieatasu-1519	176	20	exposed	expose	VERB
cieatasu-1519	176	21	to	to	ADP
cieatasu-1519	176	22	a	a	DET
cieatasu-1519	176	23	number	number	NOUN
cieatasu-1519	176	24	of	of	ADP
cieatasu-1519	176	25	exemplary	exemplary	ADJ
cieatasu-1519	176	26	tasks	task	NOUN
cieatasu-1519	176	27	,	,	PUNCT
cieatasu-1519	176	28	not	not	PART
cieatasu-1519	176	29	just	just	ADV
cieatasu-1519	176	30	the	the	DET
cieatasu-1519	176	31	practice	practice	NOUN
cieatasu-1519	176	32	of	of	ADP
cieatasu-1519	176	33	developing	develop	VERB
cieatasu-1519	176	34	and	and	CCONJ
cieatasu-1519	176	35	analyzing	analyze	VERB
cieatasu-1519	176	36	a	a	DET
cieatasu-1519	176	37	single	single	ADJ
cieatasu-1519	176	38	task	task	NOUN
cieatasu-1519	176	39	.	.	PUNCT
cieatasu-1519	177	1	teachers	teacher	NOUN
cieatasu-1519	177	2	’	’	PART
cieatasu-1519	177	3	end	end	NOUN
cieatasu-1519	177	4	-	-	PUNCT
cieatasu-1519	177	5	of	of	ADP
cieatasu-1519	177	6	-	-	PUNCT
cieatasu-1519	177	7	program	program	NOUN
cieatasu-1519	177	8	reflection	reflection	NOUN
cieatasu-1519	177	9	teachers	teacher	NOUN
cieatasu-1519	177	10	’	'	PUNCT
cieatasu-1519	177	11	reflections	reflection	NOUN
cieatasu-1519	177	12	on	on	ADP
cieatasu-1519	177	13	their	their	PRON
cieatasu-1519	177	14	experience	experience	NOUN
cieatasu-1519	177	15	in	in	ADP
cieatasu-1519	177	16	the	the	DET
cieatasu-1519	177	17	task	task	NOUN
cieatasu-1519	177	18	design	design	NOUN
cieatasu-1519	177	19	and	and	CCONJ
cieatasu-1519	177	20	analysis	analysis	NOUN
cieatasu-1519	177	21	activity	activity	NOUN
cieatasu-1519	177	22	were	be	AUX
cieatasu-1519	177	23	categorized	categorize	VERB
cieatasu-1519	177	24	in	in	ADP
cieatasu-1519	177	25	three	three	NUM
cieatasu-1519	177	26	major	major	ADJ
cieatasu-1519	177	27	areas	area	NOUN
cieatasu-1519	177	28	(	(	PUNCT
cieatasu-1519	177	29	figure	figure	NOUN
cieatasu-1519	177	30	10	10	NUM
cieatasu-1519	177	31	):	):	PUNCT
cieatasu-1519	177	32	(	(	PUNCT
cieatasu-1519	177	33	1	1	X
cieatasu-1519	177	34	)	)	PUNCT
cieatasu-1519	177	35	reflecting	reflect	VERB
cieatasu-1519	177	36	on	on	ADP
cieatasu-1519	177	37	self	self	NOUN
cieatasu-1519	177	38	/	/	SYM
cieatasu-1519	177	39	practice	practice	NOUN
cieatasu-1519	177	40	(	(	PUNCT
cieatasu-1519	177	41	light	light	ADJ
cieatasu-1519	177	42	blue	blue	ADJ
cieatasu-1519	177	43	items	item	NOUN
cieatasu-1519	177	44	)	)	PUNCT
cieatasu-1519	177	45	,	,	PUNCT
cieatasu-1519	177	46	(	(	PUNCT
cieatasu-1519	177	47	2	2	X
cieatasu-1519	177	48	)	)	PUNCT
cieatasu-1519	177	49	reflecting	reflect	VERB
cieatasu-1519	177	50	on	on	ADP
cieatasu-1519	177	51	the	the	DET
cieatasu-1519	177	52	overall	overall	ADJ
cieatasu-1519	177	53	professional	professional	ADJ
cieatasu-1519	177	54	development	development	NOUN
cieatasu-1519	177	55	experience	experience	NOUN
cieatasu-1519	177	56	(	(	PUNCT
cieatasu-1519	177	57	orange	orange	NOUN
cieatasu-1519	177	58	items	item	NOUN
cieatasu-1519	177	59	)	)	PUNCT
cieatasu-1519	177	60	,	,	PUNCT
cieatasu-1519	177	61	and	and	CCONJ
cieatasu-1519	177	62	(	(	PUNCT
cieatasu-1519	177	63	3	3	X
cieatasu-1519	177	64	)	)	PUNCT
cieatasu-1519	177	65	connecting	connect	VERB
cieatasu-1519	177	66	the	the	DET
cieatasu-1519	177	67	learning	learning	NOUN
cieatasu-1519	177	68	from	from	ADP
cieatasu-1519	177	69	the	the	DET
cieatasu-1519	177	70	professional	professional	PROPN
cieatasu-1519	177	71	development	development	NOUN
cieatasu-1519	177	72	program	program	NOUN
cieatasu-1519	177	73	to	to	PART
cieatasu-1519	177	74	own	own	VERB
cieatasu-1519	177	75	instruction	instruction	NOUN
cieatasu-1519	177	76	(	(	PUNCT
cieatasu-1519	177	77	purple	purple	ADJ
cieatasu-1519	177	78	items	item	NOUN
cieatasu-1519	177	79	)	)	PUNCT
cieatasu-1519	177	80	.	.	PUNCT
cieatasu-1519	178	1	figure	figure	NOUN
cieatasu-1519	178	2	10	10	NUM
cieatasu-1519	178	3	.	.	PUNCT
cieatasu-1519	179	1	teacher	teacher	NOUN
cieatasu-1519	179	2	reflections	reflection	NOUN
cieatasu-1519	179	3	on	on	ADP
cieatasu-1519	179	4	the	the	DET
cieatasu-1519	179	5	task	task	NOUN
cieatasu-1519	179	6	design	design	NOUN
cieatasu-1519	179	7	and	and	CCONJ
cieatasu-1519	179	8	analysis	analysis	NOUN
cieatasu-1519	179	9	experience	experience	NOUN
cieatasu-1519	179	10	.	.	PUNCT
cieatasu-1519	180	1	the	the	DET
cieatasu-1519	180	2	issues	issue	NOUN
cieatasu-1519	180	3	teachers	teacher	NOUN
cieatasu-1519	180	4	discussed	discuss	VERB
cieatasu-1519	180	5	in	in	ADP
cieatasu-1519	180	6	relation	relation	NOUN
cieatasu-1519	180	7	to	to	ADP
cieatasu-1519	180	8	the	the	DET
cieatasu-1519	180	9	pd	pd	PROPN
cieatasu-1519	180	10	experience	experience	NOUN
cieatasu-1519	180	11	were	be	AUX
cieatasu-1519	180	12	mainly	mainly	ADV
cieatasu-1519	180	13	about	about	ADP
cieatasu-1519	180	14	different	different	ADJ
cieatasu-1519	180	15	phases	phase	NOUN
cieatasu-1519	180	16	of	of	ADP
cieatasu-1519	180	17	pd	pd	NOUN
cieatasu-1519	180	18	such	such	ADJ
cieatasu-1519	180	19	as	as	ADP
cieatasu-1519	180	20	analysis	analysis	NOUN
cieatasu-1519	180	21	of	of	ADP
cieatasu-1519	180	22	task	task	NOUN
cieatasu-1519	180	23	,	,	PUNCT
cieatasu-1519	180	24	analysis	analysis	NOUN
cieatasu-1519	180	25	of	of	ADP
cieatasu-1519	180	26	student	student	NOUN
cieatasu-1519	180	27	work	work	NOUN
cieatasu-1519	180	28	,	,	PUNCT
cieatasu-1519	180	29	and	and	CCONJ
cieatasu-1519	180	30	revision	revision	NOUN
cieatasu-1519	180	31	of	of	ADP
cieatasu-1519	180	32	the	the	DET
cieatasu-1519	180	33	task	task	NOUN
cieatasu-1519	180	34	.	.	PUNCT
cieatasu-1519	181	1	teachers	teacher	NOUN
cieatasu-1519	181	2	also	also	ADV
cieatasu-1519	181	3	mentioned	mention	VERB
cieatasu-1519	181	4	that	that	SCONJ
cieatasu-1519	181	5	they	they	PRON
cieatasu-1519	181	6	enjoyed	enjoy	VERB
cieatasu-1519	181	7	working	work	VERB
cieatasu-1519	181	8	on	on	ADP
cieatasu-1519	181	9	these	these	DET
cieatasu-1519	181	10	tasks	task	NOUN
cieatasu-1519	181	11	together	together	ADV
cieatasu-1519	181	12	as	as	ADP
cieatasu-1519	181	13	a	a	DET
cieatasu-1519	181	14	group	group	NOUN
cieatasu-1519	181	15	and	and	CCONJ
cieatasu-1519	181	16	building	build	VERB
cieatasu-1519	181	17	a	a	DET
cieatasu-1519	181	18	community	community	NOUN
cieatasu-1519	181	19	.	.	PUNCT
cieatasu-1519	182	1	i	i	PRON
cieatasu-1519	182	2	could	could	AUX
cieatasu-1519	182	3	n't	not	PART
cieatasu-1519	182	4	wait	wait	VERB
cieatasu-1519	182	5	to	to	PART
cieatasu-1519	182	6	share	share	VERB
cieatasu-1519	182	7	my	my	PRON
cieatasu-1519	182	8	ideas	idea	NOUN
cieatasu-1519	182	9	with	with	ADP
cieatasu-1519	182	10	my	my	PRON
cieatasu-1519	182	11	group	group	NOUN
cieatasu-1519	182	12	and	and	CCONJ
cieatasu-1519	182	13	i	i	PRON
cieatasu-1519	182	14	also	also	ADV
cieatasu-1519	182	15	had	have	VERB
cieatasu-1519	182	16	an	an	DET
cieatasu-1519	182	17	ah	ah	INTJ
cieatasu-1519	182	18	ha	ha	INTJ
cieatasu-1519	182	19	moment	moment	NOUN
cieatasu-1519	182	20	when	when	SCONJ
cieatasu-1519	182	21	listening	listen	VERB
cieatasu-1519	182	22	to	to	ADP
cieatasu-1519	182	23	my	my	PRON
cieatasu-1519	182	24	classmates	classmate	NOUN
cieatasu-1519	182	25	approach	approach	VERB
cieatasu-1519	182	26	.	.	PUNCT
cieatasu-1519	183	1	the	the	DET
cieatasu-1519	183	2	"	"	PUNCT
cieatasu-1519	183	3	big	big	ADJ
cieatasu-1519	183	4	idea	idea	NOUN
cieatasu-1519	183	5	"	"	PUNCT
cieatasu-1519	183	6	that	that	PRON
cieatasu-1519	183	7	i	i	PRON
cieatasu-1519	183	8	have	have	AUX
cieatasu-1519	183	9	learned	learn	VERB
cieatasu-1519	183	10	is	be	AUX
cieatasu-1519	183	11	that	that	SCONJ
cieatasu-1519	183	12	working	work	VERB
cieatasu-1519	183	13	together	together	ADV
cieatasu-1519	183	14	makes	make	VERB
cieatasu-1519	183	15	us	we	PRON
cieatasu-1519	183	16	better	well	ADJ
cieatasu-1519	183	17	educators	educator	NOUN
cieatasu-1519	183	18	.	.	PUNCT
cieatasu-1519	184	1	the	the	DET
cieatasu-1519	184	2	most	most	ADV
cieatasu-1519	184	3	beneficial	beneficial	ADJ
cieatasu-1519	184	4	aspect	aspect	NOUN
cieatasu-1519	184	5	for	for	ADP
cieatasu-1519	184	6	me	i	PRON
cieatasu-1519	184	7	was	be	AUX
cieatasu-1519	184	8	the	the	DET
cieatasu-1519	184	9	discussion	discussion	NOUN
cieatasu-1519	184	10	that	that	PRON
cieatasu-1519	184	11	we	we	PRON
cieatasu-1519	184	12	held	hold	VERB
cieatasu-1519	184	13	as	as	ADP
cieatasu-1519	184	14	educators	educator	NOUN
cieatasu-1519	184	15	when	when	SCONJ
cieatasu-1519	184	16	looking	look	VERB
cieatasu-1519	184	17	at	at	ADP
cieatasu-1519	184	18	the	the	DET
cieatasu-1519	184	19	papers	paper	NOUN
cieatasu-1519	184	20	and	and	CCONJ
cieatasu-1519	184	21	discussing	discuss	VERB
cieatasu-1519	184	22	the	the	DET
cieatasu-1519	184	23	results	result	NOUN
cieatasu-1519	184	24	.	.	PUNCT
cieatasu-1519	185	1	our	our	PRON
cieatasu-1519	185	2	small	small	ADJ
cieatasu-1519	185	3	group	group	NOUN
cieatasu-1519	185	4	noticed	notice	VERB
cieatasu-1519	185	5	details	detail	NOUN
cieatasu-1519	185	6	of	of	ADP
cieatasu-1519	185	7	each	each	DET
cieatasu-1519	185	8	student	student	NOUN
cieatasu-1519	185	9	's	's	PART
cieatasu-1519	185	10	work	work	NOUN
cieatasu-1519	185	11	that	that	PRON
cieatasu-1519	185	12	i	i	PRON
cieatasu-1519	185	13	may	may	AUX
cieatasu-1519	185	14	not	not	PART
cieatasu-1519	185	15	have	have	VERB
cieatasu-1519	185	16	as	as	ADP
cieatasu-1519	185	17	an	an	DET
cieatasu-1519	185	18	individual	individual	NOUN
cieatasu-1519	185	19	.	.	PUNCT
cieatasu-1519	186	1	many	many	ADJ
cieatasu-1519	186	2	of	of	ADP
cieatasu-1519	186	3	them	they	PRON
cieatasu-1519	186	4	also	also	ADV
cieatasu-1519	186	5	reflected	reflect	VERB
cieatasu-1519	186	6	on	on	ADP
cieatasu-1519	186	7	themselves	themselves	PRON
cieatasu-1519	186	8	as	as	ADP
cieatasu-1519	186	9	a	a	DET
cieatasu-1519	186	10	“	"	PUNCT
cieatasu-1519	186	11	doer	doer	NOUN
cieatasu-1519	186	12	of	of	ADP
cieatasu-1519	186	13	mathematics	mathematic	NOUN
cieatasu-1519	186	14	”	"	PUNCT
cieatasu-1519	186	15	and	and	CCONJ
cieatasu-1519	186	16	“	"	PUNCT
cieatasu-1519	186	17	teacher	teacher	NOUN
cieatasu-1519	186	18	of	of	ADP
cieatasu-1519	186	19	mathematics	mathematic	NOUN
cieatasu-1519	186	20	.	.	PUNCT
cieatasu-1519	186	21	”	"	PUNCT
cieatasu-1519	187	1	when	when	SCONJ
cieatasu-1519	187	2	focusing	focus	VERB
cieatasu-1519	187	3	on	on	ADP
cieatasu-1519	187	4	the	the	DET
cieatasu-1519	187	5	doer	doer	NOUN
cieatasu-1519	187	6	of	of	ADP
cieatasu-1519	187	7	mathematics	mathematics	PROPN
cieatasu-1519	187	8	perspective	perspective	NOUN
cieatasu-1519	187	9	,	,	PUNCT
cieatasu-1519	187	10	they	they	PRON
cieatasu-1519	187	11	discussed	discuss	VERB
cieatasu-1519	187	12	how	how	SCONJ
cieatasu-1519	187	13	their	their	PRON
cieatasu-1519	187	14	mathematical	mathematical	ADJ
cieatasu-1519	187	15	thinking	thinking	NOUN
cieatasu-1519	187	16	and	and	CCONJ
cieatasu-1519	187	17	mathematical	mathematical	ADJ
cieatasu-1519	187	18	problem	problem	NOUN
cieatasu-1519	187	19	solving	solving	NOUN
cieatasu-1519	187	20	were	be	AUX
cieatasu-1519	187	21	influenced	influence	VERB
cieatasu-1519	187	22	as	as	ADP
cieatasu-1519	187	23	a	a	DET
cieatasu-1519	187	24	result	result	NOUN
cieatasu-1519	187	25	of	of	ADP
cieatasu-1519	187	26	the	the	DET
cieatasu-1519	187	27	pd	pd	PROPN
cieatasu-1519	187	28	.	.	PROPN
cieatasu-1519	187	29	lee	lee	PROPN
cieatasu-1519	187	30	&	&	CCONJ
cieatasu-1519	187	31	özgün	özgün	PROPN
cieatasu-1519	187	32	-	-	PUNCT
cieatasu-1519	187	33	koca	koca	NOUN
cieatasu-1519	187	34	:	:	PUNCT
cieatasu-1519	187	35	professional	professional	ADJ
cieatasu-1519	187	36	development	development	NOUN
cieatasu-1519	187	37	for	for	ADP
cieatasu-1519	187	38	mathematics	mathematics	NOUN
cieatasu-1519	187	39	teachers	teacher	NOUN
cieatasu-1519	187	40	:	:	PUNCT
cieatasu-1519	187	41	using	use	VERB
cieatasu-1519	187	42	task	task	NOUN
cieatasu-1519	187	43	design	design	NOUN
cieatasu-1519	187	44	and	and	CCONJ
cieatasu-1519	187	45	analysis	analysis	NOUN
cieatasu-1519	187	46	current	current	ADJ
cieatasu-1519	187	47	issues	issue	NOUN
cieatasu-1519	187	48	in	in	ADP
cieatasu-1519	187	49	education	education	NOUN
cieatasu-1519	187	50	,	,	PUNCT
cieatasu-1519	187	51	19(2	19(2	NUM
cieatasu-1519	187	52	)	)	PUNCT
cieatasu-1519	187	53	12	12	NUM
cieatasu-1519	187	54	before	before	ADP
cieatasu-1519	187	55	working	work	VERB
cieatasu-1519	187	56	on	on	ADP
cieatasu-1519	187	57	modifying	modify	VERB
cieatasu-1519	187	58	this	this	DET
cieatasu-1519	187	59	problem	problem	NOUN
cieatasu-1519	187	60	,	,	PUNCT
cieatasu-1519	187	61	i	i	PRON
cieatasu-1519	187	62	thought	think	VERB
cieatasu-1519	187	63	that	that	SCONJ
cieatasu-1519	187	64	i	i	PRON
cieatasu-1519	187	65	was	be	AUX
cieatasu-1519	187	66	proficient	proficient	ADJ
cieatasu-1519	187	67	at	at	ADP
cieatasu-1519	187	68	amending	amend	VERB
cieatasu-1519	187	69	problems	problem	NOUN
cieatasu-1519	187	70	for	for	ADP
cieatasu-1519	187	71	students	student	NOUN
cieatasu-1519	187	72	’	'	PUNCT
cieatasu-1519	187	73	and	and	CCONJ
cieatasu-1519	187	74	teachers	teacher	NOUN
cieatasu-1519	187	75	’	'	PUNCT
cieatasu-1519	187	76	benefit	benefit	NOUN
cieatasu-1519	187	77	.	.	PUNCT
cieatasu-1519	188	1	amending	amend	VERB
cieatasu-1519	188	2	this	this	DET
cieatasu-1519	188	3	problem	problem	NOUN
cieatasu-1519	188	4	caused	cause	VERB
cieatasu-1519	188	5	me	i	PRON
cieatasu-1519	188	6	to	to	PART
cieatasu-1519	188	7	grow	grow	VERB
cieatasu-1519	188	8	professionally	professionally	ADV
cieatasu-1519	188	9	.	.	PUNCT
cieatasu-1519	189	1	more	more	ADJ
cieatasu-1519	189	2	than	than	ADP
cieatasu-1519	189	3	ever	ever	ADV
cieatasu-1519	189	4	,	,	PUNCT
cieatasu-1519	189	5	i	i	PRON
cieatasu-1519	189	6	found	find	VERB
cieatasu-1519	189	7	myself	myself	PRON
cieatasu-1519	189	8	thinking	think	VERB
cieatasu-1519	189	9	deeply	deeply	ADV
cieatasu-1519	189	10	about	about	ADP
cieatasu-1519	189	11	the	the	DET
cieatasu-1519	189	12	math	math	NOUN
cieatasu-1519	189	13	;	;	PUNCT
cieatasu-1519	189	14	i	i	PRON
cieatasu-1519	189	15	worked	work	VERB
cieatasu-1519	189	16	problems	problem	NOUN
cieatasu-1519	189	17	algebraically	algebraically	ADV
cieatasu-1519	189	18	;	;	PUNCT
cieatasu-1519	189	19	i	i	PRON
cieatasu-1519	189	20	worked	work	VERB
cieatasu-1519	189	21	with	with	ADP
cieatasu-1519	189	22	tables	table	NOUN
cieatasu-1519	189	23	in	in	ADP
cieatasu-1519	189	24	a	a	DET
cieatasu-1519	189	25	guess	guess	NOUN
cieatasu-1519	189	26	and	and	CCONJ
cieatasu-1519	189	27	check	check	VERB
cieatasu-1519	189	28	format	format	NOUN
cieatasu-1519	189	29	;	;	PUNCT
cieatasu-1519	189	30	and	and	CCONJ
cieatasu-1519	189	31	i	i	PRON
cieatasu-1519	189	32	struggled	struggle	VERB
cieatasu-1519	189	33	to	to	PART
cieatasu-1519	189	34	make	make	VERB
cieatasu-1519	189	35	this	this	DET
cieatasu-1519	189	36	problem	problem	NOUN
cieatasu-1519	189	37	better	well	ADV
cieatasu-1519	189	38	not	not	PART
cieatasu-1519	189	39	easier	easy	ADJ
cieatasu-1519	189	40	!	!	PUNCT
cieatasu-1519	190	1	when	when	SCONJ
cieatasu-1519	190	2	they	they	PRON
cieatasu-1519	190	3	were	be	AUX
cieatasu-1519	190	4	reflecting	reflect	VERB
cieatasu-1519	190	5	as	as	ADP
cieatasu-1519	190	6	teacher	teacher	NOUN
cieatasu-1519	190	7	of	of	ADP
cieatasu-1519	190	8	mathematics	mathematic	NOUN
cieatasu-1519	190	9	,	,	PUNCT
cieatasu-1519	190	10	their	their	PRON
cieatasu-1519	190	11	reflections	reflection	NOUN
cieatasu-1519	190	12	centered	center	VERB
cieatasu-1519	190	13	on	on	ADP
cieatasu-1519	190	14	their	their	PRON
cieatasu-1519	190	15	teaching	teaching	NOUN
cieatasu-1519	190	16	practice	practice	NOUN
cieatasu-1519	190	17	.	.	PUNCT
cieatasu-1519	191	1	for	for	ADP
cieatasu-1519	191	2	instance	instance	NOUN
cieatasu-1519	191	3	,	,	PUNCT
cieatasu-1519	191	4	how	how	SCONJ
cieatasu-1519	191	5	they	they	PRON
cieatasu-1519	191	6	can	can	AUX
cieatasu-1519	191	7	enhance	enhance	VERB
cieatasu-1519	191	8	their	their	PRON
cieatasu-1519	191	9	future	future	ADJ
cieatasu-1519	191	10	implementation	implementation	NOUN
cieatasu-1519	191	11	to	to	PART
cieatasu-1519	191	12	support	support	VERB
cieatasu-1519	191	13	students	student	NOUN
cieatasu-1519	191	14	'	'	PART
cieatasu-1519	191	15	understanding	understanding	NOUN
cieatasu-1519	191	16	or	or	CCONJ
cieatasu-1519	191	17	how	how	SCONJ
cieatasu-1519	191	18	student	student	NOUN
cieatasu-1519	191	19	knowledge	knowledge	NOUN
cieatasu-1519	191	20	could	could	AUX
cieatasu-1519	191	21	be	be	AUX
cieatasu-1519	191	22	assessed	assess	VERB
cieatasu-1519	191	23	more	more	ADV
cieatasu-1519	191	24	efficiently	efficiently	ADV
cieatasu-1519	191	25	.	.	PUNCT
cieatasu-1519	192	1	i	i	PRON
cieatasu-1519	192	2	have	have	AUX
cieatasu-1519	192	3	learned	learn	VERB
cieatasu-1519	192	4	to	to	PART
cieatasu-1519	192	5	look	look	VERB
cieatasu-1519	192	6	beyond	beyond	ADP
cieatasu-1519	192	7	finding	find	VERB
cieatasu-1519	192	8	whether	whether	SCONJ
cieatasu-1519	192	9	an	an	DET
cieatasu-1519	192	10	answer	answer	NOUN
cieatasu-1519	192	11	is	be	AUX
cieatasu-1519	192	12	simply	simply	ADV
cieatasu-1519	192	13	right	right	ADJ
cieatasu-1519	192	14	or	or	CCONJ
cieatasu-1519	192	15	wrong	wrong	ADJ
cieatasu-1519	192	16	.	.	PUNCT
cieatasu-1519	193	1	i	i	PRON
cieatasu-1519	193	2	have	have	AUX
cieatasu-1519	193	3	always	always	ADV
cieatasu-1519	193	4	tried	try	VERB
cieatasu-1519	193	5	to	to	PART
cieatasu-1519	193	6	give	give	VERB
cieatasu-1519	193	7	partial	partial	ADJ
cieatasu-1519	193	8	credit	credit	NOUN
cieatasu-1519	193	9	for	for	ADP
cieatasu-1519	193	10	showing	show	VERB
cieatasu-1519	193	11	the	the	DET
cieatasu-1519	193	12	thinking	thinking	NOUN
cieatasu-1519	193	13	process	process	NOUN
cieatasu-1519	193	14	and	and	CCONJ
cieatasu-1519	193	15	the	the	DET
cieatasu-1519	193	16	logic	logic	NOUN
cieatasu-1519	193	17	involved	involve	VERB
cieatasu-1519	193	18	but	but	CCONJ
cieatasu-1519	193	19	the	the	DET
cieatasu-1519	193	20	rubric	rubric	NOUN
cieatasu-1519	193	21	we	we	PRON
cieatasu-1519	193	22	used	use	VERB
cieatasu-1519	193	23	made	make	VERB
cieatasu-1519	193	24	it	it	PRON
cieatasu-1519	193	25	much	much	ADV
cieatasu-1519	193	26	easier	easy	ADJ
cieatasu-1519	193	27	and	and	CCONJ
cieatasu-1519	193	28	i	i	PRON
cieatasu-1519	193	29	had	have	AUX
cieatasu-1519	193	30	never	never	ADV
cieatasu-1519	193	31	seen	see	VERB
cieatasu-1519	193	32	anything	anything	PRON
cieatasu-1519	193	33	like	like	SCONJ
cieatasu-1519	193	34	it	it	PRON
cieatasu-1519	193	35	used	use	VERB
cieatasu-1519	193	36	in	in	ADP
cieatasu-1519	193	37	mathematics	mathematic	NOUN
cieatasu-1519	193	38	before	before	ADV
cieatasu-1519	193	39	.	.	PUNCT
cieatasu-1519	194	1	it	it	PRON
cieatasu-1519	194	2	made	make	VERB
cieatasu-1519	194	3	it	it	PRON
cieatasu-1519	194	4	easier	easy	ADJ
cieatasu-1519	194	5	to	to	PART
cieatasu-1519	194	6	identify	identify	VERB
cieatasu-1519	194	7	where	where	SCONJ
cieatasu-1519	194	8	students	student	NOUN
cieatasu-1519	194	9	’	'	PUNCT
cieatasu-1519	194	10	misconceptions	misconception	NOUN
cieatasu-1519	194	11	were	be	AUX
cieatasu-1519	194	12	and	and	CCONJ
cieatasu-1519	194	13	whether	whether	SCONJ
cieatasu-1519	194	14	they	they	PRON
cieatasu-1519	194	15	truly	truly	ADV
cieatasu-1519	194	16	understood	understand	VERB
cieatasu-1519	194	17	mathematical	mathematical	ADJ
cieatasu-1519	194	18	processes	process	NOUN
cieatasu-1519	194	19	involved	involve	VERB
cieatasu-1519	194	20	in	in	ADP
cieatasu-1519	194	21	problem	problem	NOUN
cieatasu-1519	194	22	-	-	PUNCT
cieatasu-1519	194	23	solving	solving	NOUN
cieatasu-1519	194	24	.	.	PUNCT
cieatasu-1519	195	1	teachers	teacher	NOUN
cieatasu-1519	195	2	’	'	PUNCT
cieatasu-1519	195	3	reflections	reflection	NOUN
cieatasu-1519	195	4	indicated	indicate	VERB
cieatasu-1519	195	5	that	that	SCONJ
cieatasu-1519	195	6	they	they	PRON
cieatasu-1519	195	7	want	want	VERB
cieatasu-1519	195	8	to	to	PART
cieatasu-1519	195	9	connect	connect	VERB
cieatasu-1519	195	10	the	the	DET
cieatasu-1519	195	11	learning	learning	NOUN
cieatasu-1519	195	12	experience	experience	NOUN
cieatasu-1519	195	13	gained	gain	VERB
cieatasu-1519	195	14	from	from	ADP
cieatasu-1519	195	15	the	the	DET
cieatasu-1519	195	16	pd	pd	PROPN
cieatasu-1519	195	17	to	to	PART
cieatasu-1519	195	18	improve	improve	VERB
cieatasu-1519	195	19	instruction	instruction	NOUN
cieatasu-1519	195	20	in	in	ADP
cieatasu-1519	195	21	the	the	DET
cieatasu-1519	195	22	area	area	NOUN
cieatasu-1519	195	23	of	of	ADP
cieatasu-1519	195	24	ways	way	NOUN
cieatasu-1519	195	25	to	to	PART
cieatasu-1519	195	26	support	support	VERB
cieatasu-1519	195	27	student	student	NOUN
cieatasu-1519	195	28	learning	learning	NOUN
cieatasu-1519	195	29	by	by	ADP
cieatasu-1519	195	30	better	well	ADJ
cieatasu-1519	195	31	understandings	understanding	NOUN
cieatasu-1519	195	32	students	student	NOUN
cieatasu-1519	195	33	'	'	PART
cieatasu-1519	195	34	strategies	strategy	NOUN
cieatasu-1519	195	35	and	and	CCONJ
cieatasu-1519	195	36	allowing	allow	VERB
cieatasu-1519	195	37	them	they	PRON
cieatasu-1519	195	38	to	to	PART
cieatasu-1519	195	39	struggle	struggle	VERB
cieatasu-1519	195	40	productively	productively	ADV
cieatasu-1519	195	41	.	.	PUNCT
cieatasu-1519	196	1	one	one	NUM
cieatasu-1519	196	2	big	big	ADJ
cieatasu-1519	196	3	idea	idea	NOUN
cieatasu-1519	196	4	that	that	SCONJ
cieatasu-1519	196	5	i	i	PRON
cieatasu-1519	196	6	have	have	AUX
cieatasu-1519	196	7	learned	learn	VERB
cieatasu-1519	196	8	is	be	AUX
cieatasu-1519	196	9	that	that	SCONJ
cieatasu-1519	196	10	i	i	PRON
cieatasu-1519	196	11	need	need	VERB
cieatasu-1519	196	12	to	to	PART
cieatasu-1519	196	13	not	not	PART
cieatasu-1519	196	14	simply	simply	ADV
cieatasu-1519	196	15	call	call	VERB
cieatasu-1519	196	16	on	on	ADP
cieatasu-1519	196	17	students	student	NOUN
cieatasu-1519	196	18	for	for	ADP
cieatasu-1519	196	19	the	the	DET
cieatasu-1519	196	20	answer	answer	NOUN
cieatasu-1519	196	21	,	,	PUNCT
cieatasu-1519	196	22	but	but	CCONJ
cieatasu-1519	196	23	for	for	ADP
cieatasu-1519	196	24	the	the	DET
cieatasu-1519	196	25	explanation	explanation	NOUN
cieatasu-1519	196	26	of	of	ADP
cieatasu-1519	196	27	how	how	SCONJ
cieatasu-1519	196	28	they	they	PRON
cieatasu-1519	196	29	achieved	achieve	VERB
cieatasu-1519	196	30	their	their	PRON
cieatasu-1519	196	31	answer	answer	NOUN
cieatasu-1519	196	32	.	.	PUNCT
cieatasu-1519	197	1	many	many	ADJ
cieatasu-1519	197	2	students	student	NOUN
cieatasu-1519	197	3	think	think	VERB
cieatasu-1519	197	4	that	that	SCONJ
cieatasu-1519	197	5	math	math	NOUN
cieatasu-1519	197	6	is	be	AUX
cieatasu-1519	197	7	just	just	ADV
cieatasu-1519	197	8	calculating	calculate	VERB
cieatasu-1519	197	9	numbers	number	NOUN
cieatasu-1519	197	10	,	,	PUNCT
cieatasu-1519	197	11	but	but	CCONJ
cieatasu-1519	197	12	it	it	PRON
cieatasu-1519	197	13	is	be	AUX
cieatasu-1519	197	14	so	so	ADV
cieatasu-1519	197	15	much	much	ADV
cieatasu-1519	197	16	more	more	ADJ
cieatasu-1519	197	17	.	.	PUNCT
cieatasu-1519	198	1	students	student	NOUN
cieatasu-1519	198	2	today	today	NOUN
cieatasu-1519	198	3	are	be	AUX
cieatasu-1519	198	4	not	not	PART
cieatasu-1519	198	5	always	always	ADV
cieatasu-1519	198	6	very	very	ADV
cieatasu-1519	198	7	good	good	ADJ
cieatasu-1519	198	8	at	at	ADP
cieatasu-1519	198	9	explaining	explain	VERB
cieatasu-1519	198	10	how	how	SCONJ
cieatasu-1519	198	11	they	they	PRON
cieatasu-1519	198	12	find	find	VERB
cieatasu-1519	198	13	answers	answer	NOUN
cieatasu-1519	198	14	.	.	PUNCT
cieatasu-1519	199	1	i	i	PRON
cieatasu-1519	199	2	would	would	AUX
cieatasu-1519	199	3	love	love	VERB
cieatasu-1519	199	4	to	to	PART
cieatasu-1519	199	5	have	have	VERB
cieatasu-1519	199	6	students	student	NOUN
cieatasu-1519	199	7	write	write	VERB
cieatasu-1519	199	8	a	a	DET
cieatasu-1519	199	9	“	"	PUNCT
cieatasu-1519	199	10	how	how	SCONJ
cieatasu-1519	199	11	to	to	PART
cieatasu-1519	199	12	”	"	PUNCT
cieatasu-1519	199	13	speech	speech	NOUN
cieatasu-1519	199	14	about	about	ADP
cieatasu-1519	199	15	solving	solve	VERB
cieatasu-1519	199	16	a	a	DET
cieatasu-1519	199	17	problem	problem	NOUN
cieatasu-1519	199	18	so	so	SCONJ
cieatasu-1519	199	19	each	each	PRON
cieatasu-1519	199	20	of	of	ADP
cieatasu-1519	199	21	them	they	PRON
cieatasu-1519	199	22	could	could	AUX
cieatasu-1519	199	23	see	see	VERB
cieatasu-1519	199	24	all	all	PRON
cieatasu-1519	199	25	of	of	ADP
cieatasu-1519	199	26	the	the	DET
cieatasu-1519	199	27	steps	step	NOUN
cieatasu-1519	199	28	it	it	PRON
cieatasu-1519	199	29	takes	take	VERB
cieatasu-1519	199	30	to	to	PART
cieatasu-1519	199	31	explain	explain	VERB
cieatasu-1519	199	32	their	their	PRON
cieatasu-1519	199	33	own	own	ADJ
cieatasu-1519	199	34	thought	thought	NOUN
cieatasu-1519	199	35	processes	process	NOUN
cieatasu-1519	199	36	.	.	PUNCT
cieatasu-1519	200	1	the	the	DET
cieatasu-1519	200	2	cool	cool	ADJ
cieatasu-1519	200	3	thing	thing	NOUN
cieatasu-1519	200	4	about	about	ADP
cieatasu-1519	200	5	that	that	PRON
cieatasu-1519	200	6	would	would	AUX
cieatasu-1519	200	7	be	be	AUX
cieatasu-1519	200	8	that	that	SCONJ
cieatasu-1519	200	9	everyone	everyone	PRON
cieatasu-1519	200	10	thinks	think	VERB
cieatasu-1519	200	11	a	a	DET
cieatasu-1519	200	12	little	little	ADJ
cieatasu-1519	200	13	bit	bit	NOUN
cieatasu-1519	200	14	differently	differently	ADV
cieatasu-1519	200	15	,	,	PUNCT
cieatasu-1519	200	16	so	so	ADV
cieatasu-1519	200	17	hopefully	hopefully	ADV
cieatasu-1519	200	18	we	we	PRON
cieatasu-1519	200	19	would	would	AUX
cieatasu-1519	200	20	have	have	VERB
cieatasu-1519	200	21	the	the	DET
cieatasu-1519	200	22	same	same	ADJ
cieatasu-1519	200	23	end	end	NOUN
cieatasu-1519	200	24	result	result	NOUN
cieatasu-1519	200	25	,	,	PUNCT
cieatasu-1519	200	26	but	but	CCONJ
cieatasu-1519	200	27	several	several	ADJ
cieatasu-1519	200	28	different	different	ADJ
cieatasu-1519	200	29	strategies	strategy	NOUN
cieatasu-1519	200	30	to	to	PART
cieatasu-1519	200	31	find	find	VERB
cieatasu-1519	200	32	it	it	PRON
cieatasu-1519	200	33	.	.	PUNCT
cieatasu-1519	201	1	i	i	PRON
cieatasu-1519	201	2	am	be	AUX
cieatasu-1519	201	3	trying	try	VERB
cieatasu-1519	201	4	to	to	PART
cieatasu-1519	201	5	stretch	stretch	VERB
cieatasu-1519	201	6	my	my	PRON
cieatasu-1519	201	7	questioning	questioning	NOUN
cieatasu-1519	201	8	ability	ability	NOUN
cieatasu-1519	201	9	to	to	PART
cieatasu-1519	201	10	encourage	encourage	VERB
cieatasu-1519	201	11	deeper	deep	ADJ
cieatasu-1519	201	12	thinking	thinking	NOUN
cieatasu-1519	201	13	.	.	PUNCT
cieatasu-1519	202	1	it	it	PRON
cieatasu-1519	202	2	is	be	AUX
cieatasu-1519	202	3	tempting	tempting	ADJ
cieatasu-1519	202	4	to	to	PART
cieatasu-1519	202	5	use	use	VERB
cieatasu-1519	202	6	straight	straight	ADV
cieatasu-1519	202	7	forward	forward	ADV
cieatasu-1519	202	8	questioning	questioning	NOUN
cieatasu-1519	202	9	that	that	PRON
cieatasu-1519	202	10	is	be	AUX
cieatasu-1519	202	11	easy	easy	ADJ
cieatasu-1519	202	12	to	to	PART
cieatasu-1519	202	13	write	write	VERB
cieatasu-1519	202	14	and	and	CCONJ
cieatasu-1519	202	15	quick	quick	ADJ
cieatasu-1519	202	16	to	to	PART
cieatasu-1519	202	17	answer	answer	VERB
cieatasu-1519	202	18	.	.	PUNCT
cieatasu-1519	203	1	however	however	ADV
cieatasu-1519	203	2	,	,	PUNCT
cieatasu-1519	203	3	these	these	DET
cieatasu-1519	203	4	questions	question	NOUN
cieatasu-1519	203	5	do	do	AUX
cieatasu-1519	203	6	not	not	PART
cieatasu-1519	203	7	lead	lead	VERB
cieatasu-1519	203	8	to	to	ADP
cieatasu-1519	203	9	persisting	persist	VERB
cieatasu-1519	203	10	through	through	ADP
cieatasu-1519	203	11	a	a	DET
cieatasu-1519	203	12	multiple	multiple	ADJ
cieatasu-1519	203	13	step	step	NOUN
cieatasu-1519	203	14	problem	problem	NOUN
cieatasu-1519	203	15	and	and	CCONJ
cieatasu-1519	203	16	creates	create	VERB
cieatasu-1519	203	17	an	an	DET
cieatasu-1519	203	18	apathetic	apathetic	ADJ
cieatasu-1519	203	19	learner	learner	NOUN
cieatasu-1519	203	20	that	that	PRON
cieatasu-1519	203	21	looks	look	VERB
cieatasu-1519	203	22	only	only	ADV
cieatasu-1519	203	23	for	for	ADP
cieatasu-1519	203	24	key	key	ADJ
cieatasu-1519	203	25	words	word	NOUN
cieatasu-1519	203	26	and	and	CCONJ
cieatasu-1519	203	27	does	do	AUX
cieatasu-1519	203	28	not	not	PART
cieatasu-1519	203	29	read	read	VERB
cieatasu-1519	203	30	for	for	ADP
cieatasu-1519	203	31	understanding	understanding	NOUN
cieatasu-1519	203	32	.	.	PUNCT
cieatasu-1519	204	1	discussion	discussion	NOUN
cieatasu-1519	204	2	the	the	DET
cieatasu-1519	204	3	quality	quality	NOUN
cieatasu-1519	204	4	of	of	ADP
cieatasu-1519	204	5	a	a	DET
cieatasu-1519	204	6	task	task	NOUN
cieatasu-1519	204	7	depends	depend	VERB
cieatasu-1519	204	8	on	on	ADP
cieatasu-1519	204	9	its	its	PRON
cieatasu-1519	204	10	features	feature	NOUN
cieatasu-1519	204	11	and	and	CCONJ
cieatasu-1519	204	12	cognitive	cognitive	ADJ
cieatasu-1519	204	13	demands	demand	NOUN
cieatasu-1519	204	14	,	,	PUNCT
cieatasu-1519	204	15	the	the	DET
cieatasu-1519	204	16	thinking	thinking	NOUN
cieatasu-1519	204	17	processes	process	NOUN
cieatasu-1519	204	18	used	use	VERB
cieatasu-1519	204	19	while	while	SCONJ
cieatasu-1519	204	20	performing	perform	VERB
cieatasu-1519	204	21	the	the	DET
cieatasu-1519	204	22	task	task	NOUN
cieatasu-1519	204	23	.	.	PUNCT
cieatasu-1519	205	1	the	the	DET
cieatasu-1519	205	2	level	level	NOUN
cieatasu-1519	205	3	of	of	ADP
cieatasu-1519	205	4	cognitive	cognitive	ADJ
cieatasu-1519	205	5	demands	demand	NOUN
cieatasu-1519	205	6	can	can	AUX
cieatasu-1519	205	7	range	range	VERB
cieatasu-1519	205	8	from	from	ADP
cieatasu-1519	205	9	memorization	memorization	NOUN
cieatasu-1519	205	10	to	to	ADP
cieatasu-1519	205	11	the	the	DET
cieatasu-1519	205	12	use	use	NOUN
cieatasu-1519	205	13	of	of	ADP
cieatasu-1519	205	14	procedures	procedure	NOUN
cieatasu-1519	205	15	and	and	CCONJ
cieatasu-1519	205	16	algorithms	algorithm	NOUN
cieatasu-1519	205	17	to	to	ADP
cieatasu-1519	205	18	complex	complex	ADJ
cieatasu-1519	205	19	thinking	thinking	NOUN
cieatasu-1519	205	20	and	and	CCONJ
cieatasu-1519	205	21	reasoning	reason	VERB
cieatasu-1519	205	22	lee	lee	PROPN
cieatasu-1519	205	23	&	&	CCONJ
cieatasu-1519	205	24	özgün	özgün	PROPN
cieatasu-1519	205	25	-	-	PUNCT
cieatasu-1519	205	26	koca	koca	NOUN
cieatasu-1519	205	27	:	:	PUNCT
cieatasu-1519	205	28	professional	professional	ADJ
cieatasu-1519	205	29	development	development	NOUN
cieatasu-1519	205	30	for	for	ADP
cieatasu-1519	205	31	mathematics	mathematics	NOUN
cieatasu-1519	205	32	teachers	teacher	NOUN
cieatasu-1519	205	33	:	:	PUNCT
cieatasu-1519	205	34	using	use	VERB
cieatasu-1519	205	35	task	task	NOUN
cieatasu-1519	205	36	design	design	NOUN
cieatasu-1519	205	37	and	and	CCONJ
cieatasu-1519	205	38	analysis	analysis	NOUN
cieatasu-1519	205	39	current	current	ADJ
cieatasu-1519	205	40	issues	issue	NOUN
cieatasu-1519	205	41	in	in	ADP
cieatasu-1519	205	42	education	education	NOUN
cieatasu-1519	205	43	,	,	PUNCT
cieatasu-1519	205	44	19(2	19(2	NUM
cieatasu-1519	205	45	)	)	PUNCT
cieatasu-1519	205	46	13	13	NUM
cieatasu-1519	205	47	strategies	strategy	NOUN
cieatasu-1519	205	48	involving	involve	VERB
cieatasu-1519	205	49	conjecturing	conjecture	VERB
cieatasu-1519	205	50	,	,	PUNCT
cieatasu-1519	205	51	justifying	justifying	NOUN
cieatasu-1519	205	52	,	,	PUNCT
cieatasu-1519	205	53	or	or	CCONJ
cieatasu-1519	205	54	interpreting	interpret	VERB
cieatasu-1519	205	55	(	(	PUNCT
cieatasu-1519	205	56	henningsen	henningsen	PROPN
cieatasu-1519	205	57	&	&	CCONJ
cieatasu-1519	205	58	stein	stein	PROPN
cieatasu-1519	205	59	,	,	PUNCT
cieatasu-1519	205	60	1997	1997	NUM
cieatasu-1519	205	61	)	)	PUNCT
cieatasu-1519	205	62	.	.	PUNCT
cieatasu-1519	206	1	mathematics	mathematic	NOUN
cieatasu-1519	206	2	educators	educator	NOUN
cieatasu-1519	206	3	have	have	AUX
cieatasu-1519	206	4	identified	identify	VERB
cieatasu-1519	206	5	tasks	task	NOUN
cieatasu-1519	206	6	as	as	SCONJ
cieatasu-1519	206	7	represented	represent	VERB
cieatasu-1519	206	8	in	in	ADP
cieatasu-1519	206	9	curricular	curricular	ADJ
cieatasu-1519	206	10	/	/	SYM
cieatasu-1519	206	11	instructional	instructional	ADJ
cieatasu-1519	206	12	materials	material	NOUN
cieatasu-1519	206	13	or	or	CCONJ
cieatasu-1519	206	14	as	as	SCONJ
cieatasu-1519	206	15	set	set	VERB
cieatasu-1519	206	16	up	up	ADP
cieatasu-1519	206	17	by	by	ADP
cieatasu-1519	206	18	the	the	DET
cieatasu-1519	206	19	teacher	teacher	NOUN
cieatasu-1519	206	20	in	in	ADP
cieatasu-1519	206	21	a	a	DET
cieatasu-1519	206	22	classroom	classroom	NOUN
cieatasu-1519	206	23	.	.	PUNCT
cieatasu-1519	207	1	tasks	task	NOUN
cieatasu-1519	207	2	set	set	VERB
cieatasu-1519	207	3	up	up	ADP
cieatasu-1519	207	4	by	by	ADP
cieatasu-1519	207	5	a	a	DET
cieatasu-1519	207	6	teacher	teacher	NOUN
cieatasu-1519	207	7	are	be	AUX
cieatasu-1519	207	8	influenced	influence	VERB
cieatasu-1519	207	9	by	by	ADP
cieatasu-1519	207	10	the	the	DET
cieatasu-1519	207	11	teacher	teacher	NOUN
cieatasu-1519	207	12	’s	’s	PART
cieatasu-1519	207	13	goals	goal	NOUN
cieatasu-1519	207	14	,	,	PUNCT
cieatasu-1519	207	15	subject	subject	ADJ
cieatasu-1519	207	16	matter	matter	NOUN
cieatasu-1519	207	17	knowledge	knowledge	NOUN
cieatasu-1519	207	18	,	,	PUNCT
cieatasu-1519	207	19	and	and	CCONJ
cieatasu-1519	207	20	knowledge	knowledge	NOUN
cieatasu-1519	207	21	of	of	ADP
cieatasu-1519	207	22	students	student	NOUN
cieatasu-1519	207	23	and	and	CCONJ
cieatasu-1519	207	24	student	student	NOUN
cieatasu-1519	207	25	thinking	thinking	NOUN
cieatasu-1519	207	26	and	and	CCONJ
cieatasu-1519	207	27	understanding	understanding	NOUN
cieatasu-1519	207	28	.	.	PUNCT
cieatasu-1519	208	1	by	by	ADP
cieatasu-1519	208	2	reflecting	reflect	VERB
cieatasu-1519	208	3	on	on	ADP
cieatasu-1519	208	4	and	and	CCONJ
cieatasu-1519	208	5	taking	take	VERB
cieatasu-1519	208	6	into	into	ADP
cieatasu-1519	208	7	consideration	consideration	NOUN
cieatasu-1519	208	8	students	student	NOUN
cieatasu-1519	208	9	’	'	PUNCT
cieatasu-1519	208	10	thinking	thinking	NOUN
cieatasu-1519	208	11	and	and	CCONJ
cieatasu-1519	208	12	understanding	understanding	NOUN
cieatasu-1519	208	13	,	,	PUNCT
cieatasu-1519	208	14	the	the	DET
cieatasu-1519	208	15	teacher	teacher	NOUN
cieatasu-1519	208	16	can	can	AUX
cieatasu-1519	208	17	provide	provide	VERB
cieatasu-1519	208	18	a	a	DET
cieatasu-1519	208	19	task	task	NOUN
cieatasu-1519	208	20	that	that	PRON
cieatasu-1519	208	21	better	well	ADV
cieatasu-1519	208	22	improves	improve	VERB
cieatasu-1519	208	23	/	/	SYM
cieatasu-1519	208	24	advances	advance	NOUN
cieatasu-1519	208	25	students	student	NOUN
cieatasu-1519	208	26	’	'	PUNCT
cieatasu-1519	208	27	thinking	think	VERB
cieatasu-1519	208	28	.	.	PUNCT
cieatasu-1519	209	1	to	to	PART
cieatasu-1519	209	2	foster	foster	VERB
cieatasu-1519	209	3	a	a	DET
cieatasu-1519	209	4	more	more	ADV
cieatasu-1519	209	5	active	active	ADJ
cieatasu-1519	209	6	implementation	implementation	NOUN
cieatasu-1519	209	7	of	of	ADP
cieatasu-1519	209	8	tasks	task	NOUN
cieatasu-1519	209	9	,	,	PUNCT
cieatasu-1519	209	10	teachers	teacher	NOUN
cieatasu-1519	209	11	should	should	AUX
cieatasu-1519	209	12	encourage	encourage	VERB
cieatasu-1519	209	13	students	student	NOUN
cieatasu-1519	209	14	to	to	PART
cieatasu-1519	209	15	use	use	VERB
cieatasu-1519	209	16	various	various	ADJ
cieatasu-1519	209	17	strategies	strategy	NOUN
cieatasu-1519	209	18	,	,	PUNCT
cieatasu-1519	209	19	use	use	VERB
cieatasu-1519	209	20	multiple	multiple	ADJ
cieatasu-1519	209	21	representations	representation	NOUN
cieatasu-1519	209	22	,	,	PUNCT
cieatasu-1519	209	23	and	and	CCONJ
cieatasu-1519	209	24	provide	provide	VERB
cieatasu-1519	209	25	justifications	justification	NOUN
cieatasu-1519	209	26	.	.	PUNCT
cieatasu-1519	210	1	this	this	DET
cieatasu-1519	210	2	study	study	NOUN
cieatasu-1519	210	3	had	have	VERB
cieatasu-1519	210	4	two	two	NUM
cieatasu-1519	210	5	main	main	ADJ
cieatasu-1519	210	6	goals	goal	NOUN
cieatasu-1519	210	7	:	:	PUNCT
cieatasu-1519	210	8	(	(	PUNCT
cieatasu-1519	210	9	1	1	X
cieatasu-1519	210	10	)	)	PUNCT
cieatasu-1519	210	11	to	to	PART
cieatasu-1519	210	12	develop	develop	VERB
cieatasu-1519	210	13	a	a	DET
cieatasu-1519	210	14	conceptual	conceptual	ADJ
cieatasu-1519	210	15	framework	framework	NOUN
cieatasu-1519	210	16	for	for	ADP
cieatasu-1519	210	17	a	a	DET
cieatasu-1519	210	18	professional	professional	ADJ
cieatasu-1519	210	19	development	development	NOUN
cieatasu-1519	210	20	(	(	PUNCT
cieatasu-1519	210	21	pd	pd	NOUN
cieatasu-1519	210	22	)	)	PUNCT
cieatasu-1519	210	23	program	program	NOUN
cieatasu-1519	210	24	that	that	PRON
cieatasu-1519	210	25	uses	use	VERB
cieatasu-1519	210	26	student	student	NOUN
cieatasu-1519	210	27	work	work	NOUN
cieatasu-1519	210	28	to	to	PART
cieatasu-1519	210	29	enhance	enhance	VERB
cieatasu-1519	210	30	a	a	DET
cieatasu-1519	210	31	teacher	teacher	NOUN
cieatasu-1519	210	32	’s	’s	PART
cieatasu-1519	210	33	professional	professional	ADJ
cieatasu-1519	210	34	growth	growth	NOUN
cieatasu-1519	210	35	;	;	PUNCT
cieatasu-1519	210	36	and	and	CCONJ
cieatasu-1519	210	37	(	(	PUNCT
cieatasu-1519	210	38	2	2	X
cieatasu-1519	210	39	)	)	PUNCT
cieatasu-1519	210	40	to	to	PART
cieatasu-1519	210	41	provide	provide	VERB
cieatasu-1519	210	42	an	an	DET
cieatasu-1519	210	43	analytic	analytic	ADJ
cieatasu-1519	210	44	framework	framework	NOUN
cieatasu-1519	210	45	within	within	ADP
cieatasu-1519	210	46	which	which	PRON
cieatasu-1519	210	47	teachers	teacher	NOUN
cieatasu-1519	210	48	and	and	CCONJ
cieatasu-1519	210	49	teacher	teacher	NOUN
cieatasu-1519	210	50	educators	educator	NOUN
cieatasu-1519	210	51	analyze	analyze	VERB
cieatasu-1519	210	52	that	that	DET
cieatasu-1519	210	53	student	student	NOUN
cieatasu-1519	210	54	work	work	NOUN
cieatasu-1519	210	55	.	.	PUNCT
cieatasu-1519	211	1	before	before	SCONJ
cieatasu-1519	211	2	we	we	PRON
cieatasu-1519	211	3	can	can	AUX
cieatasu-1519	211	4	start	start	VERB
cieatasu-1519	211	5	to	to	PART
cieatasu-1519	211	6	think	think	VERB
cieatasu-1519	211	7	about	about	ADP
cieatasu-1519	211	8	how	how	SCONJ
cieatasu-1519	211	9	to	to	PART
cieatasu-1519	211	10	help	help	VERB
cieatasu-1519	211	11	students	student	NOUN
cieatasu-1519	211	12	learn	learn	VERB
cieatasu-1519	211	13	and	and	CCONJ
cieatasu-1519	211	14	do	do	VERB
cieatasu-1519	211	15	mathematics	mathematic	NOUN
cieatasu-1519	211	16	,	,	PUNCT
cieatasu-1519	211	17	we	we	PRON
cieatasu-1519	211	18	need	need	VERB
cieatasu-1519	211	19	to	to	PART
cieatasu-1519	211	20	be	be	AUX
cieatasu-1519	211	21	able	able	ADJ
cieatasu-1519	211	22	to	to	PART
cieatasu-1519	211	23	understand	understand	VERB
cieatasu-1519	211	24	how	how	SCONJ
cieatasu-1519	211	25	a	a	DET
cieatasu-1519	211	26	student	student	NOUN
cieatasu-1519	211	27	perceives	perceive	VERB
cieatasu-1519	211	28	a	a	DET
cieatasu-1519	211	29	task	task	NOUN
cieatasu-1519	211	30	and	and	CCONJ
cieatasu-1519	211	31	thinks	think	VERB
cieatasu-1519	211	32	about	about	ADP
cieatasu-1519	211	33	its	its	PRON
cieatasu-1519	211	34	solution	solution	NOUN
cieatasu-1519	211	35	.	.	PUNCT
cieatasu-1519	212	1	in	in	ADP
cieatasu-1519	212	2	this	this	DET
cieatasu-1519	212	3	study	study	NOUN
cieatasu-1519	212	4	,	,	PUNCT
cieatasu-1519	212	5	we	we	PRON
cieatasu-1519	212	6	designed	design	VERB
cieatasu-1519	212	7	a	a	DET
cieatasu-1519	212	8	professional	professional	ADJ
cieatasu-1519	212	9	development	development	NOUN
cieatasu-1519	212	10	activity	activity	NOUN
cieatasu-1519	212	11	involving	involve	VERB
cieatasu-1519	212	12	task	task	NOUN
cieatasu-1519	212	13	analysis	analysis	NOUN
cieatasu-1519	212	14	and	and	CCONJ
cieatasu-1519	212	15	redesigning	redesign	VERB
cieatasu-1519	212	16	a	a	DET
cieatasu-1519	212	17	common	common	ADJ
cieatasu-1519	212	18	mathematics	mathematic	NOUN
cieatasu-1519	212	19	task	task	NOUN
cieatasu-1519	212	20	.	.	PUNCT
cieatasu-1519	213	1	teachers	teacher	NOUN
cieatasu-1519	213	2	engaged	engage	VERB
cieatasu-1519	213	3	in	in	ADP
cieatasu-1519	213	4	5	5	NUM
cieatasu-1519	213	5	phases	phase	NOUN
cieatasu-1519	213	6	(	(	PUNCT
cieatasu-1519	213	7	shown	show	VERB
cieatasu-1519	213	8	in	in	ADP
cieatasu-1519	213	9	figure	figure	NOUN
cieatasu-1519	213	10	1	1	NUM
cieatasu-1519	213	11	:	:	PUNCT
cieatasu-1519	213	12	theoretical	theoretical	ADJ
cieatasu-1519	213	13	framework	framework	NOUN
cieatasu-1519	213	14	)	)	PUNCT
cieatasu-1519	213	15	to	to	PART
cieatasu-1519	213	16	complete	complete	VERB
cieatasu-1519	213	17	this	this	DET
cieatasu-1519	213	18	activity	activity	NOUN
cieatasu-1519	213	19	.	.	PUNCT
cieatasu-1519	214	1	the	the	DET
cieatasu-1519	214	2	purpose	purpose	NOUN
cieatasu-1519	214	3	of	of	ADP
cieatasu-1519	214	4	the	the	DET
cieatasu-1519	214	5	activity	activity	NOUN
cieatasu-1519	214	6	was	be	AUX
cieatasu-1519	214	7	to	to	PART
cieatasu-1519	214	8	help	help	VERB
cieatasu-1519	214	9	teachers	teacher	NOUN
cieatasu-1519	214	10	improve	improve	VERB
cieatasu-1519	214	11	their	their	PRON
cieatasu-1519	214	12	teaching	teaching	NOUN
cieatasu-1519	214	13	as	as	ADP
cieatasu-1519	214	14	a	a	DET
cieatasu-1519	214	15	result	result	NOUN
cieatasu-1519	214	16	of	of	ADP
cieatasu-1519	214	17	analyzing	analyze	VERB
cieatasu-1519	214	18	student	student	NOUN
cieatasu-1519	214	19	work	work	NOUN
cieatasu-1519	214	20	,	,	PUNCT
cieatasu-1519	214	21	understanding	understand	VERB
cieatasu-1519	214	22	student	student	NOUN
cieatasu-1519	214	23	’s	’s	PART
cieatasu-1519	214	24	strategies	strategy	NOUN
cieatasu-1519	214	25	,	,	PUNCT
cieatasu-1519	214	26	and	and	CCONJ
cieatasu-1519	214	27	learning	learn	VERB
cieatasu-1519	214	28	to	to	PART
cieatasu-1519	214	29	develop	develop	VERB
cieatasu-1519	214	30	a	a	DET
cieatasu-1519	214	31	high	high	ADJ
cieatasu-1519	214	32	cognitive	cognitive	ADJ
cieatasu-1519	214	33	task	task	NOUN
cieatasu-1519	214	34	.	.	PUNCT
cieatasu-1519	215	1	in	in	ADP
cieatasu-1519	215	2	the	the	DET
cieatasu-1519	215	3	first	first	ADJ
cieatasu-1519	215	4	stage	stage	NOUN
cieatasu-1519	215	5	of	of	ADP
cieatasu-1519	215	6	the	the	DET
cieatasu-1519	215	7	activity	activity	NOUN
cieatasu-1519	215	8	,	,	PUNCT
cieatasu-1519	215	9	the	the	DET
cieatasu-1519	215	10	teachers	teacher	NOUN
cieatasu-1519	215	11	worked	work	VERB
cieatasu-1519	215	12	on	on	ADP
cieatasu-1519	215	13	the	the	DET
cieatasu-1519	215	14	problem	problem	NOUN
cieatasu-1519	215	15	by	by	ADP
cieatasu-1519	215	16	themselves	themselves	PRON
cieatasu-1519	215	17	.	.	PUNCT
cieatasu-1519	216	1	the	the	DET
cieatasu-1519	216	2	main	main	ADJ
cieatasu-1519	216	3	aim	aim	NOUN
cieatasu-1519	216	4	of	of	ADP
cieatasu-1519	216	5	this	this	DET
cieatasu-1519	216	6	stage	stage	NOUN
cieatasu-1519	216	7	was	be	AUX
cieatasu-1519	216	8	to	to	PART
cieatasu-1519	216	9	focus	focus	VERB
cieatasu-1519	216	10	on	on	ADP
cieatasu-1519	216	11	the	the	DET
cieatasu-1519	216	12	content	content	NOUN
cieatasu-1519	216	13	of	of	ADP
cieatasu-1519	216	14	the	the	DET
cieatasu-1519	216	15	problem	problem	NOUN
cieatasu-1519	216	16	,	,	PUNCT
cieatasu-1519	216	17	hence	hence	ADV
cieatasu-1519	216	18	the	the	DET
cieatasu-1519	216	19	mathematical	mathematical	ADJ
cieatasu-1519	216	20	knowledge	knowledge	NOUN
cieatasu-1519	216	21	of	of	ADP
cieatasu-1519	216	22	the	the	DET
cieatasu-1519	216	23	teachers	teacher	NOUN
cieatasu-1519	216	24	.	.	PUNCT
cieatasu-1519	217	1	participants	participant	NOUN
cieatasu-1519	217	2	,	,	PUNCT
cieatasu-1519	217	3	as	as	ADP
cieatasu-1519	217	4	doers	doer	NOUN
cieatasu-1519	217	5	of	of	ADP
cieatasu-1519	217	6	mathematics	mathematic	NOUN
cieatasu-1519	217	7	,	,	PUNCT
cieatasu-1519	217	8	first	first	ADV
cieatasu-1519	217	9	solved	solve	VERB
cieatasu-1519	217	10	the	the	DET
cieatasu-1519	217	11	problem	problem	NOUN
cieatasu-1519	217	12	individually	individually	ADV
cieatasu-1519	217	13	,	,	PUNCT
cieatasu-1519	217	14	and	and	CCONJ
cieatasu-1519	217	15	then	then	ADV
cieatasu-1519	217	16	as	as	ADP
cieatasu-1519	217	17	a	a	DET
cieatasu-1519	217	18	group	group	NOUN
cieatasu-1519	217	19	.	.	PUNCT
cieatasu-1519	218	1	even	even	ADV
cieatasu-1519	218	2	though	though	SCONJ
cieatasu-1519	218	3	the	the	DET
cieatasu-1519	218	4	majority	majority	NOUN
cieatasu-1519	218	5	of	of	ADP
cieatasu-1519	218	6	teachers	teacher	NOUN
cieatasu-1519	218	7	(	(	PUNCT
cieatasu-1519	218	8	89	89	NUM
cieatasu-1519	218	9	%	%	NOUN
cieatasu-1519	218	10	)	)	PUNCT
cieatasu-1519	218	11	solved	solve	VERB
cieatasu-1519	218	12	this	this	DET
cieatasu-1519	218	13	problem	problem	NOUN
cieatasu-1519	218	14	algebraically	algebraically	ADV
cieatasu-1519	218	15	,	,	PUNCT
cieatasu-1519	218	16	they	they	PRON
cieatasu-1519	218	17	knew	know	VERB
cieatasu-1519	218	18	not	not	PART
cieatasu-1519	218	19	to	to	PART
cieatasu-1519	218	20	expect	expect	VERB
cieatasu-1519	218	21	the	the	DET
cieatasu-1519	218	22	same	same	ADJ
cieatasu-1519	218	23	from	from	ADP
cieatasu-1519	218	24	their	their	PRON
cieatasu-1519	218	25	students	student	NOUN
cieatasu-1519	218	26	.	.	PUNCT
cieatasu-1519	219	1	before	before	ADP
cieatasu-1519	219	2	using	use	VERB
cieatasu-1519	219	3	the	the	DET
cieatasu-1519	219	4	task	task	NOUN
cieatasu-1519	219	5	with	with	ADP
cieatasu-1519	219	6	their	their	PRON
cieatasu-1519	219	7	students	student	NOUN
cieatasu-1519	219	8	,	,	PUNCT
cieatasu-1519	219	9	the	the	DET
cieatasu-1519	219	10	teachers	teacher	NOUN
cieatasu-1519	219	11	reflected	reflect	VERB
cieatasu-1519	219	12	on	on	ADP
cieatasu-1519	219	13	the	the	DET
cieatasu-1519	219	14	mathematics	mathematic	NOUN
cieatasu-1519	219	15	of	of	ADP
cieatasu-1519	219	16	the	the	DET
cieatasu-1519	219	17	problem	problem	NOUN
cieatasu-1519	219	18	.	.	PUNCT
cieatasu-1519	220	1	this	this	PRON
cieatasu-1519	220	2	was	be	AUX
cieatasu-1519	220	3	crucial	crucial	ADJ
cieatasu-1519	220	4	to	to	ADP
cieatasu-1519	220	5	the	the	DET
cieatasu-1519	220	6	discussion	discussion	NOUN
cieatasu-1519	220	7	on	on	ADP
cieatasu-1519	220	8	what	what	PRON
cieatasu-1519	220	9	to	to	PART
cieatasu-1519	220	10	anticipate	anticipate	VERB
cieatasu-1519	220	11	from	from	ADP
cieatasu-1519	220	12	their	their	PRON
cieatasu-1519	220	13	students	student	NOUN
cieatasu-1519	220	14	and	and	CCONJ
cieatasu-1519	220	15	how	how	SCONJ
cieatasu-1519	220	16	to	to	PART
cieatasu-1519	220	17	prepare	prepare	VERB
cieatasu-1519	220	18	the	the	DET
cieatasu-1519	220	19	task	task	NOUN
cieatasu-1519	220	20	for	for	ADP
cieatasu-1519	220	21	their	their	PRON
cieatasu-1519	220	22	own	own	ADJ
cieatasu-1519	220	23	students	student	NOUN
cieatasu-1519	220	24	and	and	CCONJ
cieatasu-1519	220	25	keeping	keep	VERB
cieatasu-1519	220	26	in	in	ADP
cieatasu-1519	220	27	mind	mind	NOUN
cieatasu-1519	220	28	the	the	DET
cieatasu-1519	220	29	importance	importance	NOUN
cieatasu-1519	220	30	of	of	ADP
cieatasu-1519	220	31	making	make	VERB
cieatasu-1519	220	32	sure	sure	ADJ
cieatasu-1519	220	33	that	that	SCONJ
cieatasu-1519	220	34	the	the	DET
cieatasu-1519	220	35	students	student	NOUN
cieatasu-1519	220	36	justify	justify	VERB
cieatasu-1519	220	37	their	their	PRON
cieatasu-1519	220	38	solution	solution	NOUN
cieatasu-1519	220	39	and	and	CCONJ
cieatasu-1519	220	40	explain	explain	VERB
cieatasu-1519	220	41	their	their	PRON
cieatasu-1519	220	42	strategies	strategy	NOUN
cieatasu-1519	220	43	and	and	CCONJ
cieatasu-1519	220	44	thinking	thinking	NOUN
cieatasu-1519	220	45	.	.	PUNCT
cieatasu-1519	221	1	once	once	SCONJ
cieatasu-1519	221	2	the	the	DET
cieatasu-1519	221	3	teachers	teacher	NOUN
cieatasu-1519	221	4	administered	administer	VERB
cieatasu-1519	221	5	the	the	DET
cieatasu-1519	221	6	problem	problem	NOUN
cieatasu-1519	221	7	in	in	ADP
cieatasu-1519	221	8	their	their	PRON
cieatasu-1519	221	9	classrooms	classroom	NOUN
cieatasu-1519	221	10	,	,	PUNCT
cieatasu-1519	221	11	they	they	PRON
cieatasu-1519	221	12	collected	collect	VERB
cieatasu-1519	221	13	the	the	DET
cieatasu-1519	221	14	student	student	NOUN
cieatasu-1519	221	15	work	work	NOUN
cieatasu-1519	221	16	for	for	ADP
cieatasu-1519	221	17	further	further	ADJ
cieatasu-1519	221	18	analysis	analysis	NOUN
cieatasu-1519	221	19	.	.	PUNCT
cieatasu-1519	222	1	the	the	DET
cieatasu-1519	222	2	analytical	analytical	ADJ
cieatasu-1519	222	3	framework	framework	NOUN
cieatasu-1519	222	4	for	for	ADP
cieatasu-1519	222	5	the	the	DET
cieatasu-1519	222	6	analysis	analysis	NOUN
cieatasu-1519	222	7	of	of	ADP
cieatasu-1519	222	8	student	student	NOUN
cieatasu-1519	222	9	work	work	NOUN
cieatasu-1519	222	10	included	include	VERB
cieatasu-1519	222	11	:	:	PUNCT
cieatasu-1519	222	12	(	(	PUNCT
cieatasu-1519	222	13	1	1	X
cieatasu-1519	222	14	)	)	PUNCT
cieatasu-1519	222	15	grading	grade	VERB
cieatasu-1519	222	16	student	student	NOUN
cieatasu-1519	222	17	work	work	NOUN
cieatasu-1519	222	18	,	,	PUNCT
cieatasu-1519	222	19	(	(	PUNCT
cieatasu-1519	222	20	2	2	X
cieatasu-1519	222	21	)	)	PUNCT
cieatasu-1519	222	22	analysis	analysis	NOUN
cieatasu-1519	222	23	of	of	ADP
cieatasu-1519	222	24	student	student	NOUN
cieatasu-1519	222	25	strategies	strategy	NOUN
cieatasu-1519	222	26	,	,	PUNCT
cieatasu-1519	222	27	(	(	PUNCT
cieatasu-1519	222	28	3	3	X
cieatasu-1519	222	29	)	)	PUNCT
cieatasu-1519	222	30	selecting	select	VERB
cieatasu-1519	222	31	student	student	NOUN
cieatasu-1519	222	32	work	work	NOUN
cieatasu-1519	222	33	,	,	PUNCT
cieatasu-1519	222	34	and	and	CCONJ
cieatasu-1519	222	35	(	(	PUNCT
cieatasu-1519	222	36	4	4	X
cieatasu-1519	222	37	)	)	PUNCT
cieatasu-1519	222	38	providing	provide	VERB
cieatasu-1519	222	39	rationale	rationale	NOUN
cieatasu-1519	222	40	for	for	ADP
cieatasu-1519	222	41	their	their	PRON
cieatasu-1519	222	42	selections	selection	NOUN
cieatasu-1519	222	43	.	.	PUNCT
cieatasu-1519	223	1	most	most	ADJ
cieatasu-1519	223	2	teachers	teacher	NOUN
cieatasu-1519	223	3	’	'	PUNCT
cieatasu-1519	223	4	authentic	authentic	ADJ
cieatasu-1519	223	5	classroom	classroom	NOUN
cieatasu-1519	223	6	work	work	NOUN
cieatasu-1519	223	7	is	be	AUX
cieatasu-1519	223	8	limited	limit	VERB
cieatasu-1519	223	9	to	to	ADP
cieatasu-1519	223	10	just	just	ADV
cieatasu-1519	223	11	the	the	DET
cieatasu-1519	223	12	first	first	ADJ
cieatasu-1519	223	13	level	level	NOUN
cieatasu-1519	223	14	of	of	ADP
cieatasu-1519	223	15	this	this	DET
cieatasu-1519	223	16	framework	framework	NOUN
cieatasu-1519	223	17	,	,	PUNCT
cieatasu-1519	223	18	simply	simply	ADV
cieatasu-1519	223	19	grading	grade	VERB
cieatasu-1519	223	20	the	the	DET
cieatasu-1519	223	21	students	student	NOUN
cieatasu-1519	223	22	’	'	PUNCT
cieatasu-1519	223	23	work	work	NOUN
cieatasu-1519	223	24	.	.	PUNCT
cieatasu-1519	224	1	in	in	ADP
cieatasu-1519	224	2	the	the	DET
cieatasu-1519	224	3	second	second	ADJ
cieatasu-1519	224	4	stage	stage	NOUN
cieatasu-1519	224	5	of	of	ADP
cieatasu-1519	224	6	the	the	DET
cieatasu-1519	224	7	analytical	analytical	ADJ
cieatasu-1519	224	8	framework	framework	NOUN
cieatasu-1519	224	9	,	,	PUNCT
cieatasu-1519	224	10	the	the	DET
cieatasu-1519	224	11	teachers	teacher	NOUN
cieatasu-1519	224	12	took	take	VERB
cieatasu-1519	224	13	a	a	DET
cieatasu-1519	224	14	closer	close	ADJ
cieatasu-1519	224	15	look	look	NOUN
cieatasu-1519	224	16	at	at	ADP
cieatasu-1519	224	17	their	their	PRON
cieatasu-1519	224	18	students	student	NOUN
cieatasu-1519	224	19	’	'	PUNCT
cieatasu-1519	224	20	work	work	NOUN
cieatasu-1519	224	21	,	,	PUNCT
cieatasu-1519	224	22	by	by	ADP
cieatasu-1519	224	23	analyzing	analyze	VERB
cieatasu-1519	224	24	their	their	PRON
cieatasu-1519	224	25	students	student	NOUN
cieatasu-1519	224	26	’	'	PUNCT
cieatasu-1519	224	27	strategies	strategy	NOUN
cieatasu-1519	224	28	.	.	PUNCT
cieatasu-1519	225	1	in	in	ADP
cieatasu-1519	225	2	the	the	DET
cieatasu-1519	225	3	third	third	ADJ
cieatasu-1519	225	4	stage	stage	NOUN
cieatasu-1519	225	5	,	,	PUNCT
cieatasu-1519	225	6	teachers	teacher	NOUN
cieatasu-1519	225	7	selected	select	VERB
cieatasu-1519	225	8	“	"	PUNCT
cieatasu-1519	225	9	interesting	interesting	ADJ
cieatasu-1519	225	10	”	"	PUNCT
cieatasu-1519	225	11	solutions	solution	NOUN
cieatasu-1519	225	12	and	and	CCONJ
cieatasu-1519	225	13	in	in	ADP
cieatasu-1519	225	14	the	the	DET
cieatasu-1519	225	15	fourth	fourth	ADJ
cieatasu-1519	225	16	stage	stage	NOUN
cieatasu-1519	225	17	they	they	PRON
cieatasu-1519	225	18	were	be	AUX
cieatasu-1519	225	19	asked	ask	VERB
cieatasu-1519	225	20	to	to	PART
cieatasu-1519	225	21	explain	explain	VERB
cieatasu-1519	225	22	why	why	SCONJ
cieatasu-1519	225	23	they	they	PRON
cieatasu-1519	225	24	selected	select	VERB
cieatasu-1519	225	25	a	a	DET
cieatasu-1519	225	26	particular	particular	ADJ
cieatasu-1519	225	27	solution	solution	NOUN
cieatasu-1519	225	28	.	.	PUNCT
cieatasu-1519	226	1	two	two	NUM
cieatasu-1519	226	2	main	main	ADJ
cieatasu-1519	226	3	overarching	overarching	ADJ
cieatasu-1519	226	4	categories	category	NOUN
cieatasu-1519	226	5	for	for	ADP
cieatasu-1519	226	6	selecting	select	VERB
cieatasu-1519	226	7	a	a	DET
cieatasu-1519	226	8	solution	solution	NOUN
cieatasu-1519	226	9	were	be	AUX
cieatasu-1519	226	10	:	:	PUNCT
cieatasu-1519	226	11	choosing	choose	VERB
cieatasu-1519	226	12	a	a	DET
cieatasu-1519	226	13	successful	successful	ADJ
cieatasu-1519	226	14	student	student	NOUN
cieatasu-1519	226	15	solution	solution	NOUN
cieatasu-1519	226	16	and	and	CCONJ
cieatasu-1519	226	17	an	an	DET
cieatasu-1519	226	18	unsuccessful	unsuccessful	ADJ
cieatasu-1519	226	19	solution	solution	NOUN
cieatasu-1519	226	20	.	.	PUNCT
cieatasu-1519	227	1	while	while	SCONJ
cieatasu-1519	227	2	successful	successful	ADJ
cieatasu-1519	227	3	solutions	solution	NOUN
cieatasu-1519	227	4	showcased	showcase	VERB
cieatasu-1519	227	5	teachers	teacher	NOUN
cieatasu-1519	227	6	’	’	PART
cieatasu-1519	227	7	accomplishments	accomplishment	NOUN
cieatasu-1519	227	8	in	in	ADP
cieatasu-1519	227	9	their	their	PRON
cieatasu-1519	227	10	classrooms	classroom	NOUN
cieatasu-1519	227	11	,	,	PUNCT
cieatasu-1519	227	12	unsuccessful	unsuccessful	ADJ
cieatasu-1519	227	13	solutions	solution	NOUN
cieatasu-1519	227	14	helped	help	VERB
cieatasu-1519	227	15	them	they	PRON
cieatasu-1519	227	16	to	to	PART
cieatasu-1519	227	17	think	think	VERB
cieatasu-1519	227	18	about	about	ADP
cieatasu-1519	227	19	their	their	PRON
cieatasu-1519	227	20	next	next	ADJ
cieatasu-1519	227	21	instructional	instructional	ADJ
cieatasu-1519	227	22	steps	step	NOUN
cieatasu-1519	227	23	.	.	PUNCT
cieatasu-1519	228	1	teachers	teacher	NOUN
cieatasu-1519	228	2	valued	value	VERB
cieatasu-1519	228	3	that	that	SCONJ
cieatasu-1519	228	4	their	their	PRON
cieatasu-1519	228	5	students	student	NOUN
cieatasu-1519	228	6	were	be	AUX
cieatasu-1519	228	7	able	able	ADJ
cieatasu-1519	228	8	to	to	PART
cieatasu-1519	228	9	use	use	VERB
cieatasu-1519	228	10	their	their	PRON
cieatasu-1519	228	11	previous	previous	ADJ
cieatasu-1519	228	12	knowledge	knowledge	NOUN
cieatasu-1519	228	13	,	,	PUNCT
cieatasu-1519	228	14	make	make	VERB
cieatasu-1519	228	15	correct	correct	ADJ
cieatasu-1519	228	16	computations	computation	NOUN
cieatasu-1519	228	17	or	or	CCONJ
cieatasu-1519	228	18	successfully	successfully	ADV
cieatasu-1519	228	19	used	use	VERB
cieatasu-1519	228	20	the	the	DET
cieatasu-1519	228	21	informed	informed	ADJ
cieatasu-1519	228	22	guess	guess	NOUN
cieatasu-1519	228	23	and	and	CCONJ
cieatasu-1519	228	24	check	check	VERB
cieatasu-1519	228	25	method	method	NOUN
cieatasu-1519	228	26	.	.	PUNCT
cieatasu-1519	229	1	however	however	ADV
cieatasu-1519	229	2	,	,	PUNCT
cieatasu-1519	229	3	most	most	ADJ
cieatasu-1519	229	4	teachers	teacher	NOUN
cieatasu-1519	229	5	also	also	ADV
cieatasu-1519	229	6	concluded	conclude	VERB
cieatasu-1519	229	7	that	that	SCONJ
cieatasu-1519	229	8	students	student	NOUN
cieatasu-1519	229	9	had	have	VERB
cieatasu-1519	229	10	difficulties	difficulty	NOUN
cieatasu-1519	229	11	understanding	understand	VERB
cieatasu-1519	229	12	the	the	DET
cieatasu-1519	229	13	problem	problem	NOUN
cieatasu-1519	229	14	or	or	CCONJ
cieatasu-1519	229	15	analyzing	analyze	VERB
cieatasu-1519	229	16	the	the	DET
cieatasu-1519	229	17	context	context	NOUN
cieatasu-1519	229	18	of	of	ADP
cieatasu-1519	229	19	the	the	DET
cieatasu-1519	229	20	problem	problem	NOUN
cieatasu-1519	229	21	in	in	ADP
cieatasu-1519	229	22	order	order	NOUN
cieatasu-1519	229	23	to	to	PART
cieatasu-1519	229	24	reach	reach	VERB
cieatasu-1519	229	25	a	a	DET
cieatasu-1519	229	26	solution	solution	NOUN
cieatasu-1519	229	27	;	;	PUNCT
cieatasu-1519	229	28	for	for	ADP
cieatasu-1519	229	29	instance	instance	NOUN
cieatasu-1519	229	30	having	have	VERB
cieatasu-1519	229	31	the	the	DET
cieatasu-1519	229	32	same	same	ADJ
cieatasu-1519	229	33	price	price	NOUN
cieatasu-1519	229	34	for	for	ADP
cieatasu-1519	229	35	a	a	DET
cieatasu-1519	229	36	hat	hat	NOUN
cieatasu-1519	229	37	in	in	ADP
cieatasu-1519	229	38	both	both	DET
cieatasu-1519	229	39	situations	situation	NOUN
cieatasu-1519	229	40	.	.	PUNCT
cieatasu-1519	230	1	as	as	ADP
cieatasu-1519	230	2	a	a	DET
cieatasu-1519	230	3	natural	natural	ADJ
cieatasu-1519	230	4	next	next	ADJ
cieatasu-1519	230	5	step	step	NOUN
cieatasu-1519	230	6	,	,	PUNCT
cieatasu-1519	230	7	specific	specific	ADJ
cieatasu-1519	230	8	questions	question	NOUN
cieatasu-1519	230	9	were	be	AUX
cieatasu-1519	230	10	developed	develop	VERB
cieatasu-1519	230	11	to	to	PART
cieatasu-1519	230	12	be	be	AUX
cieatasu-1519	230	13	posed	pose	VERB
cieatasu-1519	230	14	to	to	ADP
cieatasu-1519	230	15	students	student	NOUN
cieatasu-1519	230	16	and	and	CCONJ
cieatasu-1519	230	17	scaffold	scaffold	VERB
cieatasu-1519	230	18	their	their	PRON
cieatasu-1519	230	19	high	high	ADJ
cieatasu-1519	230	20	level	level	NOUN
cieatasu-1519	230	21	thinking	thinking	NOUN
cieatasu-1519	230	22	.	.	PUNCT
cieatasu-1519	231	1	such	such	ADJ
cieatasu-1519	231	2	follow	follow	VERB
cieatasu-1519	231	3	up	up	ADP
cieatasu-1519	231	4	questions	question	NOUN
cieatasu-1519	231	5	can	can	AUX
cieatasu-1519	231	6	lead	lead	VERB
cieatasu-1519	231	7	to	to	ADP
cieatasu-1519	231	8	a	a	DET
cieatasu-1519	231	9	more	more	ADV
cieatasu-1519	231	10	effective	effective	ADJ
cieatasu-1519	231	11	instructional	instructional	ADJ
cieatasu-1519	231	12	trajectory	trajectory	NOUN
cieatasu-1519	231	13	.	.	PUNCT
cieatasu-1519	232	1	lee	lee	PROPN
cieatasu-1519	232	2	&	&	CCONJ
cieatasu-1519	232	3	özgün	özgün	PROPN
cieatasu-1519	232	4	-	-	PUNCT
cieatasu-1519	232	5	koca	koca	NOUN
cieatasu-1519	232	6	:	:	PUNCT
cieatasu-1519	232	7	professional	professional	ADJ
cieatasu-1519	232	8	development	development	NOUN
cieatasu-1519	232	9	for	for	ADP
cieatasu-1519	232	10	mathematics	mathematics	NOUN
cieatasu-1519	232	11	teachers	teacher	NOUN
cieatasu-1519	232	12	:	:	PUNCT
cieatasu-1519	232	13	using	use	VERB
cieatasu-1519	232	14	task	task	NOUN
cieatasu-1519	232	15	design	design	NOUN
cieatasu-1519	232	16	and	and	CCONJ
cieatasu-1519	232	17	analysis	analysis	NOUN
cieatasu-1519	232	18	current	current	ADJ
cieatasu-1519	232	19	issues	issue	NOUN
cieatasu-1519	232	20	in	in	ADP
cieatasu-1519	232	21	education	education	NOUN
cieatasu-1519	232	22	,	,	PUNCT
cieatasu-1519	232	23	19(2	19(2	NUM
cieatasu-1519	232	24	)	)	PUNCT
cieatasu-1519	232	25	14	14	NUM
cieatasu-1519	232	26	teachers	teacher	NOUN
cieatasu-1519	232	27	see	see	VERB
cieatasu-1519	232	28	a	a	DET
cieatasu-1519	232	29	multitude	multitude	NOUN
cieatasu-1519	232	30	of	of	ADP
cieatasu-1519	232	31	student	student	NOUN
cieatasu-1519	232	32	work	work	NOUN
cieatasu-1519	232	33	on	on	ADP
cieatasu-1519	232	34	a	a	DET
cieatasu-1519	232	35	daily	daily	ADJ
cieatasu-1519	232	36	basis	basis	NOUN
cieatasu-1519	232	37	.	.	PUNCT
cieatasu-1519	233	1	most	most	ADJ
cieatasu-1519	233	2	of	of	ADP
cieatasu-1519	233	3	the	the	DET
cieatasu-1519	233	4	time	time	NOUN
cieatasu-1519	233	5	,	,	PUNCT
cieatasu-1519	233	6	the	the	DET
cieatasu-1519	233	7	major	major	ADJ
cieatasu-1519	233	8	goal	goal	NOUN
cieatasu-1519	233	9	is	be	AUX
cieatasu-1519	233	10	to	to	PART
cieatasu-1519	233	11	quickly	quickly	ADV
cieatasu-1519	233	12	assign	assign	VERB
cieatasu-1519	233	13	a	a	DET
cieatasu-1519	233	14	grade	grade	NOUN
cieatasu-1519	233	15	to	to	ADP
cieatasu-1519	233	16	the	the	DET
cieatasu-1519	233	17	homework	homework	NOUN
cieatasu-1519	233	18	or	or	CCONJ
cieatasu-1519	233	19	an	an	DET
cieatasu-1519	233	20	exam	exam	NOUN
cieatasu-1519	233	21	without	without	ADP
cieatasu-1519	233	22	reflecting	reflect	VERB
cieatasu-1519	233	23	too	too	ADV
cieatasu-1519	233	24	much	much	ADJ
cieatasu-1519	233	25	on	on	ADP
cieatasu-1519	233	26	student	student	NOUN
cieatasu-1519	233	27	thinking	thinking	NOUN
cieatasu-1519	233	28	or	or	CCONJ
cieatasu-1519	233	29	use	use	VERB
cieatasu-1519	233	30	such	such	ADJ
cieatasu-1519	233	31	assessment	assessment	NOUN
cieatasu-1519	233	32	materials	material	NOUN
cieatasu-1519	233	33	as	as	ADP
cieatasu-1519	233	34	foundational	foundational	ADJ
cieatasu-1519	233	35	information	information	NOUN
cieatasu-1519	233	36	for	for	ADP
cieatasu-1519	233	37	the	the	DET
cieatasu-1519	233	38	following	follow	VERB
cieatasu-1519	233	39	lesson	lesson	NOUN
cieatasu-1519	233	40	.	.	PUNCT
cieatasu-1519	234	1	so	so	ADV
cieatasu-1519	234	2	many	many	ADJ
cieatasu-1519	234	3	questions	question	NOUN
cieatasu-1519	234	4	appear	appear	VERB
cieatasu-1519	234	5	in	in	ADP
cieatasu-1519	234	6	a	a	DET
cieatasu-1519	234	7	homework	homework	NOUN
cieatasu-1519	234	8	assignment	assignment	NOUN
cieatasu-1519	234	9	or	or	CCONJ
cieatasu-1519	234	10	exam	exam	NOUN
cieatasu-1519	234	11	,	,	PUNCT
cieatasu-1519	234	12	that	that	SCONJ
cieatasu-1519	234	13	it	it	PRON
cieatasu-1519	234	14	would	would	AUX
cieatasu-1519	234	15	be	be	AUX
cieatasu-1519	234	16	unrealistic	unrealistic	ADJ
cieatasu-1519	234	17	to	to	PART
cieatasu-1519	234	18	expect	expect	VERB
cieatasu-1519	234	19	teachers	teacher	NOUN
cieatasu-1519	234	20	to	to	PART
cieatasu-1519	234	21	analyze	analyze	VERB
cieatasu-1519	234	22	each	each	PRON
cieatasu-1519	234	23	of	of	ADP
cieatasu-1519	234	24	them	they	PRON
cieatasu-1519	234	25	in	in	ADP
cieatasu-1519	234	26	detail	detail	NOUN
cieatasu-1519	234	27	.	.	PUNCT
cieatasu-1519	235	1	instead	instead	ADV
cieatasu-1519	235	2	,	,	PUNCT
cieatasu-1519	235	3	we	we	PRON
cieatasu-1519	235	4	suggest	suggest	VERB
cieatasu-1519	235	5	that	that	SCONJ
cieatasu-1519	235	6	if	if	SCONJ
cieatasu-1519	235	7	teachers	teacher	NOUN
cieatasu-1519	235	8	assigned	assign	VERB
cieatasu-1519	235	9	one	one	NUM
cieatasu-1519	235	10	or	or	CCONJ
cieatasu-1519	235	11	two	two	NUM
cieatasu-1519	235	12	rich	rich	ADJ
cieatasu-1519	235	13	tasks	task	NOUN
cieatasu-1519	235	14	,	,	PUNCT
cieatasu-1519	235	15	which	which	PRON
cieatasu-1519	235	16	can	can	AUX
cieatasu-1519	235	17	be	be	AUX
cieatasu-1519	235	18	approached	approach	VERB
cieatasu-1519	235	19	and	and	CCONJ
cieatasu-1519	235	20	solved	solve	VERB
cieatasu-1519	235	21	in	in	ADP
cieatasu-1519	235	22	multiple	multiple	ADJ
cieatasu-1519	235	23	ways	way	NOUN
cieatasu-1519	235	24	,	,	PUNCT
cieatasu-1519	235	25	to	to	ADP
cieatasu-1519	235	26	students	student	NOUN
cieatasu-1519	235	27	and	and	CCONJ
cieatasu-1519	235	28	carefully	carefully	ADV
cieatasu-1519	235	29	analyze	analyze	VERB
cieatasu-1519	235	30	their	their	PRON
cieatasu-1519	235	31	solutions	solution	NOUN
cieatasu-1519	235	32	,	,	PUNCT
cieatasu-1519	235	33	they	they	PRON
cieatasu-1519	235	34	would	would	AUX
cieatasu-1519	235	35	gain	gain	VERB
cieatasu-1519	235	36	more	more	ADJ
cieatasu-1519	235	37	information	information	NOUN
cieatasu-1519	235	38	about	about	ADP
cieatasu-1519	235	39	their	their	PRON
cieatasu-1519	235	40	students	student	NOUN
cieatasu-1519	235	41	’	'	PUNCT
cieatasu-1519	235	42	thinking	thinking	NOUN
cieatasu-1519	235	43	and	and	CCONJ
cieatasu-1519	235	44	inform	inform	VERB
cieatasu-1519	235	45	their	their	PRON
cieatasu-1519	235	46	instruction	instruction	NOUN
cieatasu-1519	235	47	more	more	ADV
cieatasu-1519	235	48	efficiently	efficiently	ADV
cieatasu-1519	235	49	.	.	PUNCT
cieatasu-1519	236	1	references	reference	NOUN
cieatasu-1519	236	2	denzin	denzin	PROPN
cieatasu-1519	236	3	,	,	PUNCT
cieatasu-1519	236	4	n.	n.	PROPN
cieatasu-1519	236	5	k.	k.	PROPN
cieatasu-1519	236	6	,	,	PUNCT
cieatasu-1519	236	7	&	&	CCONJ
cieatasu-1519	236	8	lincoln	lincoln	PROPN
cieatasu-1519	236	9	,	,	PUNCT
cieatasu-1519	236	10	y.	y.	PROPN
cieatasu-1519	236	11	s.	s.	PROPN
cieatasu-1519	236	12	(	(	PUNCT
cieatasu-1519	236	13	eds	eds	PROPN
cieatasu-1519	236	14	.	.	PUNCT
cieatasu-1519	236	15	)	)	PUNCT
cieatasu-1519	236	16	(	(	PUNCT
cieatasu-1519	236	17	1994	1994	NUM
cieatasu-1519	236	18	)	)	PUNCT
cieatasu-1519	236	19	.	.	PUNCT
cieatasu-1519	237	1	handbook	handbook	NOUN
cieatasu-1519	237	2	of	of	ADP
cieatasu-1519	237	3	qualitative	qualitative	ADJ
cieatasu-1519	237	4	research	research	NOUN
cieatasu-1519	237	5	.	.	PUNCT
cieatasu-1519	238	1	thousand	thousand	NUM
cieatasu-1519	238	2	oaks	oak	NOUN
cieatasu-1519	238	3	,	,	PUNCT
cieatasu-1519	238	4	ca	can	AUX
cieatasu-1519	238	5	:	:	PUNCT
cieatasu-1519	238	6	sage	sage	NOUN
cieatasu-1519	238	7	publications	publication	NOUN
cieatasu-1519	238	8	.	.	PUNCT
cieatasu-1519	239	1	heinze	heinze	PROPN
cieatasu-1519	239	2	,	,	PUNCT
cieatasu-1519	239	3	a.	a.	PROPN
cieatasu-1519	239	4	,	,	PUNCT
cieatasu-1519	239	5	&	&	CCONJ
cieatasu-1519	239	6	procter	procter	PROPN
cieatasu-1519	239	7	,	,	PUNCT
cieatasu-1519	239	8	c.	c.	PROPN
cieatasu-1519	239	9	(	(	PUNCT
cieatasu-1519	239	10	2004	2004	NUM
cieatasu-1519	239	11	)	)	PUNCT
cieatasu-1519	239	12	.	.	PUNCT
cieatasu-1519	240	1	communication	communication	NOUN
cieatasu-1519	240	2	–	–	PUNCT
cieatasu-1519	240	3	a	a	DET
cieatasu-1519	240	4	challenge	challenge	NOUN
cieatasu-1519	240	5	and	and	CCONJ
cieatasu-1519	240	6	an	an	DET
cieatasu-1519	240	7	enabler	enabler	NOUN
cieatasu-1519	240	8	for	for	ADP
cieatasu-1519	240	9	facilitating	facilitate	VERB
cieatasu-1519	240	10	blended	blended	ADJ
cieatasu-1519	240	11	learning	learning	NOUN
cieatasu-1519	240	12	community	community	NOUN
cieatasu-1519	240	13	.	.	PUNCT
cieatasu-1519	241	1	salford	salford	PROPN
cieatasu-1519	241	2	,	,	PUNCT
cieatasu-1519	241	3	uk	uk	PROPN
cieatasu-1519	241	4	:	:	PUNCT
cieatasu-1519	241	5	university	university	PROPN
cieatasu-1519	241	6	of	of	ADP
cieatasu-1519	241	7	salford	salford	PROPN
cieatasu-1519	241	8	.	.	PUNCT
cieatasu-1519	242	1	henningsen	henningsen	PROPN
cieatasu-1519	242	2	,	,	PUNCT
cieatasu-1519	242	3	m.	m.	NOUN
cieatasu-1519	242	4	,	,	PUNCT
cieatasu-1519	242	5	&	&	CCONJ
cieatasu-1519	242	6	stein	stein	PROPN
cieatasu-1519	242	7	,	,	PUNCT
cieatasu-1519	242	8	m.	m.	PROPN
cieatasu-1519	242	9	k.	k.	PROPN
cieatasu-1519	242	10	(	(	PUNCT
cieatasu-1519	242	11	1997	1997	NUM
cieatasu-1519	242	12	)	)	PUNCT
cieatasu-1519	242	13	.	.	PUNCT
cieatasu-1519	243	1	mathematical	mathematical	ADJ
cieatasu-1519	243	2	tasks	task	NOUN
cieatasu-1519	243	3	and	and	CCONJ
cieatasu-1519	243	4	student	student	NOUN
cieatasu-1519	243	5	cognition	cognition	NOUN
cieatasu-1519	243	6	:	:	PUNCT
cieatasu-1519	243	7	classroombased	classroombase	VERB
cieatasu-1519	243	8	factors	factor	NOUN
cieatasu-1519	243	9	that	that	PRON
cieatasu-1519	243	10	support	support	VERB
cieatasu-1519	243	11	and	and	CCONJ
cieatasu-1519	243	12	inhibit	inhibit	VERB
cieatasu-1519	243	13	high	high	ADJ
cieatasu-1519	243	14	-	-	PUNCT
cieatasu-1519	243	15	level	level	NOUN
cieatasu-1519	243	16	mathematical	mathematical	ADJ
cieatasu-1519	243	17	thinking	thinking	NOUN
cieatasu-1519	243	18	and	and	CCONJ
cieatasu-1519	243	19	reasoning	reasoning	NOUN
cieatasu-1519	243	20	.	.	PUNCT
cieatasu-1519	244	1	journal	journal	PROPN
cieatasu-1519	244	2	for	for	ADP
cieatasu-1519	244	3	research	research	NOUN
cieatasu-1519	244	4	in	in	ADP
cieatasu-1519	244	5	mathematics	mathematics	PROPN
cieatasu-1519	244	6	education	education	NOUN
cieatasu-1519	244	7	,	,	PUNCT
cieatasu-1519	244	8	28(5	28(5	NUM
cieatasu-1519	244	9	)	)	PUNCT
cieatasu-1519	244	10	,	,	PUNCT
cieatasu-1519	244	11	524	524	NUM
cieatasu-1519	244	12	-	-	SYM
cieatasu-1519	244	13	549	549	NUM
cieatasu-1519	244	14	.	.	PUNCT
cieatasu-1519	244	15	doi:10.2307/749690	doi:10.2307/749690	NOUN
cieatasu-1519	244	16	jacobs	jacobs	PROPN
cieatasu-1519	244	17	,	,	PUNCT
cieatasu-1519	244	18	v.	v.	PROPN
cieatasu-1519	244	19	r.	r.	PROPN
cieatasu-1519	244	20	,	,	PUNCT
cieatasu-1519	244	21	lamb	lamb	PROPN
cieatasu-1519	244	22	,	,	PUNCT
cieatasu-1519	244	23	l.	l.	PROPN
cieatasu-1519	244	24	l.	l.	PROPN
cieatasu-1519	244	25	c.	c.	PROPN
cieatasu-1519	244	26	,	,	PUNCT
cieatasu-1519	244	27	&	&	CCONJ
cieatasu-1519	244	28	philipp	philipp	PROPN
cieatasu-1519	244	29	,	,	PUNCT
cieatasu-1519	244	30	r.	r.	PROPN
cieatasu-1519	244	31	a.	a.	PROPN
cieatasu-1519	244	32	(	(	PUNCT
cieatasu-1519	244	33	2010	2010	NUM
cieatasu-1519	244	34	)	)	PUNCT
cieatasu-1519	244	35	.	.	PUNCT
cieatasu-1519	245	1	professional	professional	ADJ
cieatasu-1519	245	2	noticing	noticing	NOUN
cieatasu-1519	245	3	of	of	ADP
cieatasu-1519	245	4	children	child	NOUN
cieatasu-1519	245	5	’s	’s	PART
cieatasu-1519	245	6	mathematical	mathematical	ADJ
cieatasu-1519	245	7	thinking	thinking	NOUN
cieatasu-1519	245	8	.	.	PUNCT
cieatasu-1519	246	1	journal	journal	PROPN
cieatasu-1519	246	2	for	for	ADP
cieatasu-1519	246	3	research	research	NOUN
cieatasu-1519	246	4	in	in	ADP
cieatasu-1519	246	5	mathematics	mathematics	PROPN
cieatasu-1519	246	6	education	education	NOUN
cieatasu-1519	246	7	,	,	PUNCT
cieatasu-1519	246	8	41(2	41(2	NUM
cieatasu-1519	246	9	)	)	PUNCT
cieatasu-1519	246	10	,	,	PUNCT
cieatasu-1519	246	11	169	169	NUM
cieatasu-1519	246	12	-	-	SYM
cieatasu-1519	246	13	202	202	NUM
cieatasu-1519	246	14	.	.	PUNCT
cieatasu-1519	247	1	kahan	kahan	PROPN
cieatasu-1519	247	2	,	,	PUNCT
cieatasu-1519	247	3	s.	s.	PROPN
cieatasu-1519	247	4	(	(	PUNCT
cieatasu-1519	247	5	2004	2004	NUM
cieatasu-1519	247	6	)	)	PUNCT
cieatasu-1519	247	7	.	.	PUNCT
cieatasu-1519	248	1	etienne	etienne	PROPN
cieatasu-1519	248	2	wenger	wenger	PROPN
cieatasu-1519	248	3	on	on	ADP
cieatasu-1519	248	4	communities	community	NOUN
cieatasu-1519	248	5	of	of	ADP
cieatasu-1519	248	6	practice	practice	NOUN
cieatasu-1519	248	7	:	:	PUNCT
cieatasu-1519	249	1	engagement	engagement	NOUN
cieatasu-1519	249	2	,	,	PUNCT
cieatasu-1519	249	3	identity	identity	NOUN
cieatasu-1519	249	4	&	&	CCONJ
cieatasu-1519	249	5	innovation	innovation	NOUN
cieatasu-1519	249	6	.	.	PUNCT
cieatasu-1519	250	1	the	the	DET
cieatasu-1519	250	2	journal	journal	PROPN
cieatasu-1519	250	3	of	of	ADP
cieatasu-1519	250	4	association	association	NOUN
cieatasu-1519	250	5	leadership	leadership	NOUN
cieatasu-1519	250	6	,	,	PUNCT
cieatasu-1519	250	7	26	26	NUM
cieatasu-1519	250	8	.	.	PUNCT
cieatasu-1519	250	9	retrieved	retrieve	VERB
cieatasu-1519	250	10	from	from	ADP
cieatasu-1519	250	11	https://www.shareweb.ch/site/learning-andnetworking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice2005.pdf	https://www.shareweb.ch/site/learning-andnetworking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice2005.pdf	PROPN
cieatasu-1519	250	12	kazemi	kazemi	PROPN
cieatasu-1519	250	13	,	,	PUNCT
cieatasu-1519	250	14	e.	e.	PROPN
cieatasu-1519	250	15	,	,	PUNCT
cieatasu-1519	250	16	&	&	CCONJ
cieatasu-1519	250	17	franke	franke	PROPN
cieatasu-1519	250	18	,	,	PUNCT
cieatasu-1519	250	19	m.	m.	NOUN
cieatasu-1519	250	20	l.	l.	PROPN
cieatasu-1519	250	21	(	(	PUNCT
cieatasu-1519	250	22	2004	2004	NUM
cieatasu-1519	250	23	)	)	PUNCT
cieatasu-1519	250	24	.	.	PUNCT
cieatasu-1519	251	1	teacher	teacher	NOUN
cieatasu-1519	251	2	learning	learn	VERB
cieatasu-1519	251	3	in	in	ADP
cieatasu-1519	251	4	mathematics	mathematic	NOUN
cieatasu-1519	251	5	:	:	PUNCT
cieatasu-1519	251	6	using	use	VERB
cieatasu-1519	251	7	student	student	NOUN
cieatasu-1519	251	8	work	work	NOUN
cieatasu-1519	251	9	to	to	PART
cieatasu-1519	251	10	promote	promote	VERB
cieatasu-1519	251	11	collective	collective	ADJ
cieatasu-1519	251	12	inquiry	inquiry	NOUN
cieatasu-1519	251	13	.	.	PUNCT
cieatasu-1519	252	1	journal	journal	PROPN
cieatasu-1519	252	2	of	of	ADP
cieatasu-1519	252	3	mathematics	mathematics	PROPN
cieatasu-1519	252	4	teacher	teacher	NOUN
cieatasu-1519	252	5	education	education	NOUN
cieatasu-1519	252	6	,	,	PUNCT
cieatasu-1519	252	7	7(3	7(3	NUM
cieatasu-1519	252	8	)	)	PUNCT
cieatasu-1519	252	9	,	,	PUNCT
cieatasu-1519	252	10	203–235	203–235	NUM
cieatasu-1519	252	11	.	.	PUNCT
cieatasu-1519	253	1	doi:10.1023	doi:10.1023	NOUN
cieatasu-1519	253	2	/	/	SYM
cieatasu-1519	254	1	b	b	X
cieatasu-1519	254	2	:	:	PUNCT
cieatasu-1519	254	3	jmte.0000033084.26326.19	jmte.0000033084.26326.19	PROPN
cieatasu-1519	254	4	kindt	kindt	PROPN
cieatasu-1519	254	5	,	,	PUNCT
cieatasu-1519	254	6	m.	m.	NOUN
cieatasu-1519	254	7	,	,	PUNCT
cieatasu-1519	254	8	abels	abel	NOUN
cieatasu-1519	254	9	,	,	PUNCT
cieatasu-1519	254	10	m.	m.	NOUN
cieatasu-1519	254	11	,	,	PUNCT
cieatasu-1519	254	12	dekker	dekker	NOUN
cieatasu-1519	254	13	,	,	PUNCT
cieatasu-1519	254	14	t.	t.	PROPN
cieatasu-1519	254	15	,	,	PUNCT
cieatasu-1519	254	16	meyer	meyer	PROPN
cieatasu-1519	254	17	,	,	PUNCT
cieatasu-1519	254	18	m.	m.	PROPN
cieatasu-1519	254	19	r.	r.	PROPN
cieatasu-1519	254	20	,	,	PUNCT
cieatasu-1519	254	21	pligge	pligge	NOUN
cieatasu-1519	254	22	,	,	PUNCT
cieatasu-1519	254	23	m.	m.	NOUN
cieatasu-1519	254	24	a.	a.	PROPN
cieatasu-1519	254	25	,	,	PUNCT
cieatasu-1519	254	26	&	&	CCONJ
cieatasu-1519	254	27	burrill	burrill	PROPN
cieatasu-1519	254	28	,	,	PUNCT
cieatasu-1519	254	29	g.	g.	PROPN
cieatasu-1519	254	30	(	(	PUNCT
cieatasu-1519	254	31	2010	2010	NUM
cieatasu-1519	254	32	)	)	PUNCT
cieatasu-1519	254	33	.	.	PUNCT
cieatasu-1519	255	1	comparing	compare	VERB
cieatasu-1519	255	2	quantities	quantity	NOUN
cieatasu-1519	255	3	.	.	PUNCT
cieatasu-1519	256	1	in	in	ADP
cieatasu-1519	256	2	wisconsin	wisconsin	PROPN
cieatasu-1519	256	3	center	center	PROPN
cieatasu-1519	256	4	for	for	ADP
cieatasu-1519	256	5	education	education	NOUN
cieatasu-1519	256	6	research	research	NOUN
cieatasu-1519	256	7	&	&	CCONJ
cieatasu-1519	256	8	freudenthal	freudenthal	PROPN
cieatasu-1519	256	9	institute	institute	PROPN
cieatasu-1519	256	10	(	(	PUNCT
cieatasu-1519	256	11	eds	eds	PROPN
cieatasu-1519	256	12	.	.	PUNCT
cieatasu-1519	256	13	)	)	PUNCT
cieatasu-1519	256	14	,	,	PUNCT
cieatasu-1519	256	15	mathematics	mathematic	NOUN
cieatasu-1519	256	16	in	in	ADP
cieatasu-1519	256	17	context	context	NOUN
cieatasu-1519	256	18	series	series	NOUN
cieatasu-1519	256	19	.	.	PUNCT
cieatasu-1519	257	1	chicago	chicago	PROPN
cieatasu-1519	257	2	,	,	PUNCT
cieatasu-1519	257	3	il	il	PROPN
cieatasu-1519	257	4	:	:	PUNCT
cieatasu-1519	257	5	encyclopædia	encyclopædia	PROPN
cieatasu-1519	257	6	britannica	britannica	PROPN
cieatasu-1519	257	7	,	,	PUNCT
cieatasu-1519	257	8	inc	inc	PROPN
cieatasu-1519	257	9	.	.	PROPN
cieatasu-1519	257	10	retrieved	retrieve	VERB
cieatasu-1519	257	11	from	from	ADP
cieatasu-1519	257	12	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399	PROPN
cieatasu-1519	257	13	177txt_lr.pdf	177txt_lr.pdf	NUM
cieatasu-1519	257	14	krebs	krebs	NOUN
cieatasu-1519	257	15	,	,	PUNCT
cieatasu-1519	257	16	a.	a.	PROPN
cieatasu-1519	257	17	s.	s.	PROPN
cieatasu-1519	257	18	(	(	PUNCT
cieatasu-1519	257	19	2005	2005	NUM
cieatasu-1519	257	20	)	)	PUNCT
cieatasu-1519	257	21	.	.	PUNCT
cieatasu-1519	258	1	analyzing	analyze	VERB
cieatasu-1519	258	2	student	student	NOUN
cieatasu-1519	258	3	works	work	VERB
cieatasu-1519	258	4	as	as	ADP
cieatasu-1519	258	5	a	a	DET
cieatasu-1519	258	6	professional	professional	ADJ
cieatasu-1519	258	7	development	development	NOUN
cieatasu-1519	258	8	activity	activity	NOUN
cieatasu-1519	258	9	.	.	PUNCT
cieatasu-1519	259	1	school	school	NOUN
cieatasu-1519	259	2	science	science	NOUN
cieatasu-1519	259	3	and	and	CCONJ
cieatasu-1519	259	4	mathematics	mathematic	NOUN
cieatasu-1519	259	5	,	,	PUNCT
cieatasu-1519	259	6	105(8	105(8	NUM
cieatasu-1519	259	7	)	)	PUNCT
cieatasu-1519	259	8	,	,	PUNCT
cieatasu-1519	259	9	402	402	NUM
cieatasu-1519	259	10	-	-	SYM
cieatasu-1519	259	11	411	411	NUM
cieatasu-1519	259	12	.	.	PUNCT
cieatasu-1519	260	1	doi	doi	NOUN
cieatasu-1519	260	2	:	:	PUNCT
cieatasu-1519	260	3	10.1111	10.1111	NUM
cieatasu-1519	260	4	/	/	SYM
cieatasu-1519	260	5	j.1949	j.1949	PROPN
cieatasu-1519	260	6	-	-	PUNCT
cieatasu-1519	260	7	8594.2005.tb18060.x	8594.2005.tb18060.x	NUM
cieatasu-1519	260	8	lee	lee	PROPN
cieatasu-1519	260	9	,	,	PUNCT
cieatasu-1519	260	10	h.	h.	PROPN
cieatasu-1519	260	11	j.	j.	PROPN
cieatasu-1519	260	12	,	,	PUNCT
cieatasu-1519	260	13	&	&	CCONJ
cieatasu-1519	260	14	özgün	özgün	PROPN
cieatasu-1519	260	15	-	-	PUNCT
cieatasu-1519	260	16	koca	koca	PROPN
cieatasu-1519	260	17	,	,	PUNCT
cieatasu-1519	260	18	s.	s.	PROPN
cieatasu-1519	260	19	a.	a.	PROPN
cieatasu-1519	260	20	(	(	PUNCT
cieatasu-1519	260	21	2013	2013	NUM
cieatasu-1519	260	22	)	)	PUNCT
cieatasu-1519	260	23	.	.	PUNCT
cieatasu-1519	261	1	a	a	DET
cieatasu-1519	261	2	professional	professional	ADJ
cieatasu-1519	261	3	development	development	NOUN
cieatasu-1519	261	4	model	model	NOUN
cieatasu-1519	261	5	for	for	ADP
cieatasu-1519	261	6	task	task	NOUN
cieatasu-1519	261	7	design	design	NOUN
cieatasu-1519	261	8	and	and	CCONJ
cieatasu-1519	261	9	analysis	analysis	NOUN
cieatasu-1519	261	10	.	.	PUNCT
cieatasu-1519	262	1	in	in	ADP
cieatasu-1519	262	2	c.	c.	PROPN
cieatasu-1519	262	3	a.	a.	PROPN
cieatasu-1519	262	4	shoniregun	shoniregun	PROPN
cieatasu-1519	262	5	&	&	CCONJ
cieatasu-1519	262	6	g.	g.	PROPN
cieatasu-1519	262	7	a.	a.	PROPN
cieatasu-1519	262	8	akmayeva	akmayeva	PROPN
cieatasu-1519	262	9	(	(	PUNCT
cieatasu-1519	262	10	eds	ed	NOUN
cieatasu-1519	262	11	.	.	PUNCT
cieatasu-1519	262	12	)	)	PUNCT
cieatasu-1519	262	13	,	,	PUNCT
cieatasu-1519	262	14	proceedings	proceeding	NOUN
cieatasu-1519	262	15	of	of	ADP
cieatasu-1519	262	16	the	the	DET
cieatasu-1519	262	17	london	london	PROPN
cieatasu-1519	262	18	international	international	ADJ
cieatasu-1519	262	19	conference	conference	NOUN
cieatasu-1519	262	20	on	on	ADP
cieatasu-1519	262	21	education	education	NOUN
cieatasu-1519	262	22	(	(	PUNCT
cieatasu-1519	262	23	lice-2013	lice-2013	ADJ
cieatasu-1519	262	24	)	)	PUNCT
cieatasu-1519	262	25	(	(	PUNCT
cieatasu-1519	262	26	pp	pp	ADJ
cieatasu-1519	262	27	.	.	PUNCT
cieatasu-1519	262	28	46	46	NUM
cieatasu-1519	262	29	-	-	SYM
cieatasu-1519	262	30	50	50	NUM
cieatasu-1519	262	31	)	)	PUNCT
cieatasu-1519	262	32	.	.	PUNCT
cieatasu-1519	263	1	infonomics	infonomic	NOUN
cieatasu-1519	263	2	society	society	NOUN
cieatasu-1519	263	3	:	:	PUNCT
cieatasu-1519	263	4	london	london	PROPN
cieatasu-1519	263	5	,	,	PUNCT
cieatasu-1519	263	6	uk	uk	PROPN
cieatasu-1519	263	7	.	.	PROPN
cieatasu-1519	263	8	lee	lee	PROPN
cieatasu-1519	263	9	,	,	PUNCT
cieatasu-1519	263	10	h.	h.	PROPN
cieatasu-1519	263	11	j.	j.	PROPN
cieatasu-1519	263	12	,	,	PUNCT
cieatasu-1519	263	13	&	&	CCONJ
cieatasu-1519	263	14	özgün	özgün	PROPN
cieatasu-1519	263	15	-	-	PUNCT
cieatasu-1519	263	16	koca	koca	PROPN
cieatasu-1519	263	17	,	,	PUNCT
cieatasu-1519	263	18	s.	s.	PROPN
cieatasu-1519	263	19	a.	a.	PROPN
cieatasu-1519	263	20	(	(	PUNCT
cieatasu-1519	263	21	2014	2014	NUM
cieatasu-1519	263	22	,	,	PUNCT
cieatasu-1519	263	23	april	april	PROPN
cieatasu-1519	263	24	)	)	PUNCT
cieatasu-1519	263	25	.	.	PUNCT
cieatasu-1519	264	1	task	task	NOUN
cieatasu-1519	264	2	design	design	NOUN
cieatasu-1519	264	3	and	and	CCONJ
cieatasu-1519	264	4	analysis	analysis	NOUN
cieatasu-1519	264	5	:	:	PUNCT
cieatasu-1519	264	6	a	a	DET
cieatasu-1519	264	7	mean	mean	NOUN
cieatasu-1519	264	8	to	to	PART
cieatasu-1519	264	9	increase	increase	VERB
cieatasu-1519	264	10	teacher	teacher	NOUN
cieatasu-1519	264	11	growth	growth	NOUN
cieatasu-1519	264	12	.	.	PUNCT
cieatasu-1519	265	1	paper	paper	NOUN
cieatasu-1519	265	2	presented	present	VERB
cieatasu-1519	265	3	at	at	ADP
cieatasu-1519	265	4	the	the	DET
cieatasu-1519	265	5	2014	2014	NUM
cieatasu-1519	265	6	annual	annual	ADJ
cieatasu-1519	265	7	meeting	meeting	NOUN
cieatasu-1519	265	8	of	of	ADP
cieatasu-1519	265	9	the	the	DET
cieatasu-1519	265	10	american	american	PROPN
cieatasu-1519	265	11	educational	educational	PROPN
cieatasu-1519	265	12	research	research	PROPN
cieatasu-1519	265	13	association	association	PROPN
cieatasu-1519	265	14	(	(	PUNCT
cieatasu-1519	265	15	aera	aera	PROPN
cieatasu-1519	265	16	)	)	PUNCT
cieatasu-1519	265	17	,	,	PUNCT
cieatasu-1519	265	18	philadelphia	philadelphia	PROPN
cieatasu-1519	265	19	,	,	PUNCT
cieatasu-1519	265	20	pa	pa	PROPN
cieatasu-1519	265	21	.	.	PROPN
cieatasu-1519	265	22	meyer	meyer	PROPN
cieatasu-1519	265	23	,	,	PUNCT
cieatasu-1519	265	24	m.	m.	PROPN
cieatasu-1519	265	25	r.	r.	PROPN
cieatasu-1519	265	26	(	(	PUNCT
cieatasu-1519	265	27	1997	1997	NUM
cieatasu-1519	265	28	)	)	PUNCT
cieatasu-1519	265	29	.	.	PUNCT
cieatasu-1519	266	1	mathematics	mathematic	NOUN
cieatasu-1519	266	2	in	in	ADP
cieatasu-1519	266	3	context	context	NOUN
cieatasu-1519	266	4	:	:	PUNCT
cieatasu-1519	266	5	the	the	DET
cieatasu-1519	266	6	gates	gate	NOUN
cieatasu-1519	266	7	to	to	ADP
cieatasu-1519	266	8	mathematics	mathematic	NOUN
cieatasu-1519	266	9	for	for	ADP
cieatasu-1519	266	10	all	all	PRON
cieatasu-1519	266	11	at	at	ADP
cieatasu-1519	266	12	the	the	DET
cieatasu-1519	266	13	middle	middle	ADJ
cieatasu-1519	266	14	level	level	NOUN
cieatasu-1519	266	15	.	.	PUNCT
cieatasu-1519	267	1	nassp	nassp	PROPN
cieatasu-1519	267	2	bulletin	bulletin	PROPN
cieatasu-1519	267	3	,	,	PUNCT
cieatasu-1519	267	4	81(586	81(586	NOUN
cieatasu-1519	267	5	)	)	PUNCT
cieatasu-1519	267	6	,	,	PUNCT
cieatasu-1519	267	7	53	53	NUM
cieatasu-1519	267	8	-	-	SYM
cieatasu-1519	267	9	59	59	NUM
cieatasu-1519	267	10	.	.	PUNCT
cieatasu-1519	268	1	doi	doi	NOUN
cieatasu-1519	268	2	:	:	PUNCT
cieatasu-1519	268	3	10.1177/019263659708158606	10.1177/019263659708158606	NUM
cieatasu-1519	268	4	miles	mile	NOUN
cieatasu-1519	268	5	,	,	PUNCT
cieatasu-1519	268	6	m.	m.	PROPN
cieatasu-1519	268	7	b.	b.	PROPN
cieatasu-1519	268	8	,	,	PUNCT
cieatasu-1519	268	9	&	&	CCONJ
cieatasu-1519	268	10	huberman	huberman	NOUN
cieatasu-1519	268	11	,	,	PUNCT
cieatasu-1519	268	12	a.	a.	NOUN
cieatasu-1519	268	13	m.	m.	NOUN
cieatasu-1519	268	14	(	(	PUNCT
cieatasu-1519	268	15	1994	1994	NUM
cieatasu-1519	268	16	)	)	PUNCT
cieatasu-1519	268	17	.	.	PUNCT
cieatasu-1519	269	1	qualitative	qualitative	ADJ
cieatasu-1519	269	2	data	datum	NOUN
cieatasu-1519	269	3	analysis	analysis	NOUN
cieatasu-1519	269	4	:	:	PUNCT
cieatasu-1519	269	5	an	an	DET
cieatasu-1519	269	6	expanded	expand	VERB
cieatasu-1519	269	7	sourcebook	sourcebook	NOUN
cieatasu-1519	269	8	(	(	PUNCT
cieatasu-1519	269	9	2nd	2nd	ADJ
cieatasu-1519	269	10	ed	ed	NOUN
cieatasu-1519	269	11	.	.	PUNCT
cieatasu-1519	269	12	)	)	PUNCT
cieatasu-1519	269	13	.	.	PUNCT
cieatasu-1519	270	1	thousand	thousand	NUM
cieatasu-1519	270	2	oaks	oak	NOUN
cieatasu-1519	270	3	,	,	PUNCT
cieatasu-1519	270	4	ca	can	AUX
cieatasu-1519	270	5	:	:	PUNCT
cieatasu-1519	270	6	sage	sage	NOUN
cieatasu-1519	270	7	publications	publication	NOUN
cieatasu-1519	270	8	.	.	PUNCT
cieatasu-1519	271	1	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	NOUN
cieatasu-1519	271	2	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	NOUN
cieatasu-1519	271	3	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	https://www.shareweb.ch/site/learning-and-networking/sdc_km_tools/documents/etienne-wenger-on-communities-of-practice-2005.pdf	ADP
cieatasu-1519	271	4	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399177txt_lr.pdf	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399177txt_lr.pdf	NOUN
cieatasu-1519	271	5	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399177txt_lr.pdf	http://mathincontext.eb.com/content/books/students/comparing_quantities_9781593399177txt_lr.pdf	X
cieatasu-1519	271	6	lee	lee	PROPN
cieatasu-1519	271	7	&	&	CCONJ
cieatasu-1519	271	8	özgün	özgün	PROPN
cieatasu-1519	271	9	-	-	PUNCT
cieatasu-1519	271	10	koca	koca	NOUN
cieatasu-1519	271	11	:	:	PUNCT
cieatasu-1519	271	12	professional	professional	ADJ
cieatasu-1519	271	13	development	development	NOUN
cieatasu-1519	271	14	for	for	ADP
cieatasu-1519	271	15	mathematics	mathematics	NOUN
cieatasu-1519	271	16	teachers	teacher	NOUN
cieatasu-1519	271	17	:	:	PUNCT
cieatasu-1519	271	18	using	use	VERB
cieatasu-1519	271	19	task	task	NOUN
cieatasu-1519	271	20	design	design	NOUN
cieatasu-1519	271	21	and	and	CCONJ
cieatasu-1519	271	22	analysis	analysis	NOUN
cieatasu-1519	271	23	current	current	ADJ
cieatasu-1519	271	24	issues	issue	NOUN
cieatasu-1519	271	25	in	in	ADP
cieatasu-1519	271	26	education	education	NOUN
cieatasu-1519	271	27	,	,	PUNCT
cieatasu-1519	271	28	19(2	19(2	NUM
cieatasu-1519	271	29	)	)	PUNCT
cieatasu-1519	271	30	15	15	NUM
cieatasu-1519	271	31	namiki	namiki	PROPN
cieatasu-1519	271	32	,	,	PUNCT
cieatasu-1519	271	33	r.	r.	PROPN
cieatasu-1519	271	34	,	,	PUNCT
cieatasu-1519	271	35	&	&	CCONJ
cieatasu-1519	271	36	shimizu	shimizu	PROPN
cieatasu-1519	271	37	,	,	PUNCT
cieatasu-1519	271	38	y.	y.	PROPN
cieatasu-1519	271	39	(	(	PUNCT
cieatasu-1519	271	40	2012	2012	NUM
cieatasu-1519	271	41	,	,	PUNCT
cieatasu-1519	271	42	july	july	PROPN
cieatasu-1519	271	43	)	)	PUNCT
cieatasu-1519	271	44	.	.	PUNCT
cieatasu-1519	272	1	on	on	ADP
cieatasu-1519	272	2	the	the	DET
cieatasu-1519	272	3	nature	nature	NOUN
cieatasu-1519	272	4	of	of	ADP
cieatasu-1519	272	5	mathematical	mathematical	ADJ
cieatasu-1519	272	6	tasks	task	NOUN
cieatasu-1519	272	7	in	in	ADP
cieatasu-1519	272	8	the	the	DET
cieatasu-1519	272	9	sequence	sequence	NOUN
cieatasu-1519	272	10	of	of	ADP
cieatasu-1519	272	11	lessons	lesson	NOUN
cieatasu-1519	272	12	.	.	PUNCT
cieatasu-1519	273	1	paper	paper	NOUN
cieatasu-1519	273	2	presented	present	VERB
cieatasu-1519	273	3	at	at	ADP
cieatasu-1519	273	4	the	the	DET
cieatasu-1519	273	5	12th	12th	ADJ
cieatasu-1519	273	6	international	international	ADJ
cieatasu-1519	273	7	congress	congress	PROPN
cieatasu-1519	273	8	on	on	ADP
cieatasu-1519	273	9	mathematical	mathematical	ADJ
cieatasu-1519	273	10	education	education	NOUN
cieatasu-1519	273	11	,	,	PUNCT
cieatasu-1519	273	12	seoul	seoul	PROPN
cieatasu-1519	273	13	,	,	PUNCT
cieatasu-1519	273	14	south	south	PROPN
cieatasu-1519	273	15	korea	korea	PROPN
cieatasu-1519	273	16	.	.	PUNCT
cieatasu-1519	274	1	rittle	rittle	PROPN
cieatasu-1519	274	2	-	-	PUNCT
cieatasu-1519	274	3	johnson	johnson	PROPN
cieatasu-1519	274	4	,	,	PUNCT
cieatasu-1519	274	5	b.	b.	PROPN
cieatasu-1519	274	6	,	,	PUNCT
cieatasu-1519	274	7	&	&	CCONJ
cieatasu-1519	274	8	koedinger	koedinger	PROPN
cieatasu-1519	274	9	,	,	PUNCT
cieatasu-1519	274	10	k.	k.	PROPN
cieatasu-1519	274	11	r.	r.	PROPN
cieatasu-1519	274	12	(	(	PUNCT
cieatasu-1519	274	13	2005	2005	NUM
cieatasu-1519	274	14	)	)	PUNCT
cieatasu-1519	274	15	.	.	PUNCT
cieatasu-1519	275	1	designing	design	VERB
cieatasu-1519	275	2	knowledge	knowledge	NOUN
cieatasu-1519	275	3	scaffolds	scaffold	NOUN
cieatasu-1519	275	4	to	to	PART
cieatasu-1519	275	5	support	support	VERB
cieatasu-1519	275	6	mathematical	mathematical	ADJ
cieatasu-1519	275	7	problem	problem	NOUN
cieatasu-1519	275	8	solving	solving	NOUN
cieatasu-1519	275	9	.	.	PUNCT
cieatasu-1519	275	10	cognition	cognition	NOUN
cieatasu-1519	275	11	and	and	CCONJ
cieatasu-1519	275	12	instruction	instruction	NOUN
cieatasu-1519	275	13	,	,	PUNCT
cieatasu-1519	275	14	23(3	23(3	NUM
cieatasu-1519	275	15	)	)	PUNCT
cieatasu-1519	275	16	,	,	PUNCT
cieatasu-1519	275	17	313	313	NUM
cieatasu-1519	275	18	-	-	SYM
cieatasu-1519	275	19	349	349	NUM
cieatasu-1519	275	20	.	.	PUNCT
cieatasu-1519	276	1	doi:10.1207	doi:10.1207	PROPN
cieatasu-1519	276	2	/	/	SYM
cieatasu-1519	276	3	s1532690xci2303_1	s1532690xci2303_1	PROPN
cieatasu-1519	276	4	stein	stein	PROPN
cieatasu-1519	276	5	,	,	PUNCT
cieatasu-1519	276	6	m.	m.	PROPN
cieatasu-1519	276	7	k.	k.	PROPN
cieatasu-1519	276	8	,	,	PUNCT
cieatasu-1519	276	9	grover	grover	PROPN
cieatasu-1519	276	10	,	,	PUNCT
cieatasu-1519	276	11	b.	b.	PROPN
cieatasu-1519	276	12	w.	w.	PROPN
cieatasu-1519	276	13	,	,	PUNCT
cieatasu-1519	276	14	&	&	CCONJ
cieatasu-1519	276	15	henningsen	henningsen	PROPN
cieatasu-1519	276	16	,	,	PUNCT
cieatasu-1519	276	17	m.	m.	NOUN
cieatasu-1519	276	18	(	(	PUNCT
cieatasu-1519	276	19	1996	1996	NUM
cieatasu-1519	276	20	)	)	PUNCT
cieatasu-1519	276	21	.	.	PUNCT
cieatasu-1519	277	1	building	build	VERB
cieatasu-1519	277	2	student	student	NOUN
cieatasu-1519	277	3	capacity	capacity	NOUN
cieatasu-1519	277	4	for	for	ADP
cieatasu-1519	277	5	mathematical	mathematical	ADJ
cieatasu-1519	277	6	thinking	thinking	NOUN
cieatasu-1519	277	7	and	and	CCONJ
cieatasu-1519	277	8	reasoning	reasoning	NOUN
cieatasu-1519	277	9	:	:	PUNCT
cieatasu-1519	277	10	an	an	DET
cieatasu-1519	277	11	analysis	analysis	NOUN
cieatasu-1519	277	12	of	of	ADP
cieatasu-1519	277	13	mathematical	mathematical	ADJ
cieatasu-1519	277	14	tasks	task	NOUN
cieatasu-1519	277	15	used	use	VERB
cieatasu-1519	277	16	in	in	ADP
cieatasu-1519	277	17	reform	reform	NOUN
cieatasu-1519	277	18	classrooms	classroom	NOUN
cieatasu-1519	277	19	.	.	PUNCT
cieatasu-1519	278	1	american	american	ADJ
cieatasu-1519	278	2	educational	educational	ADJ
cieatasu-1519	278	3	research	research	PROPN
cieatasu-1519	278	4	journal	journal	PROPN
cieatasu-1519	278	5	,	,	PUNCT
cieatasu-1519	278	6	33(2	33(2	NUM
cieatasu-1519	278	7	)	)	PUNCT
cieatasu-1519	278	8	,	,	PUNCT
cieatasu-1519	278	9	455	455	NUM
cieatasu-1519	278	10	-	-	SYM
cieatasu-1519	278	11	488	488	NUM
cieatasu-1519	278	12	.	.	PUNCT
cieatasu-1519	279	1	doi:10.3102/00028312033002455	doi:10.3102/00028312033002455	PROPN
cieatasu-1519	279	2	swan	swan	PROPN
cieatasu-1519	279	3	,	,	PUNCT
cieatasu-1519	279	4	m.	m.	NOUN
cieatasu-1519	279	5	(	(	PUNCT
cieatasu-1519	279	6	2007	2007	NUM
cieatasu-1519	279	7	)	)	PUNCT
cieatasu-1519	279	8	.	.	PUNCT
cieatasu-1519	280	1	the	the	DET
cieatasu-1519	280	2	impact	impact	NOUN
cieatasu-1519	280	3	of	of	ADP
cieatasu-1519	280	4	task	task	NOUN
cieatasu-1519	280	5	-	-	PUNCT
cieatasu-1519	280	6	based	base	VERB
cieatasu-1519	280	7	professional	professional	ADJ
cieatasu-1519	280	8	development	development	NOUN
cieatasu-1519	280	9	on	on	ADP
cieatasu-1519	280	10	teachers	teacher	NOUN
cieatasu-1519	280	11	’	'	PUNCT
cieatasu-1519	280	12	practices	practice	NOUN
cieatasu-1519	280	13	and	and	CCONJ
cieatasu-1519	280	14	beliefs	belief	NOUN
cieatasu-1519	280	15	:	:	PUNCT
cieatasu-1519	280	16	a	a	DET
cieatasu-1519	280	17	design	design	NOUN
cieatasu-1519	280	18	research	research	NOUN
cieatasu-1519	280	19	study	study	NOUN
cieatasu-1519	280	20	.	.	PUNCT
cieatasu-1519	281	1	journal	journal	PROPN
cieatasu-1519	281	2	of	of	ADP
cieatasu-1519	281	3	mathematics	mathematics	PROPN
cieatasu-1519	281	4	teacher	teacher	NOUN
cieatasu-1519	281	5	education	education	NOUN
cieatasu-1519	281	6	,	,	PUNCT
cieatasu-1519	281	7	10(4	10(4	NUM
cieatasu-1519	281	8	-	-	SYM
cieatasu-1519	281	9	6	6	NUM
cieatasu-1519	281	10	)	)	PUNCT
cieatasu-1519	281	11	,	,	PUNCT
cieatasu-1519	281	12	217	217	NUM
cieatasu-1519	281	13	-	-	SYM
cieatasu-1519	281	14	237	237	NUM
cieatasu-1519	281	15	.	.	PUNCT
cieatasu-1519	282	1	doi:10.1007	doi:10.1007	PROPN
cieatasu-1519	282	2	/	/	SYM
cieatasu-1519	282	3	s10857	s10857	PROPN
cieatasu-1519	282	4	-	-	PUNCT
cieatasu-1519	282	5	007	007	NUM
cieatasu-1519	282	6	-	-	PUNCT
cieatasu-1519	282	7	9038	9038	NUM
cieatasu-1519	282	8	-	-	SYM
cieatasu-1519	282	9	8	8	NUM
cieatasu-1519	282	10	thompson	thompson	NOUN
cieatasu-1519	282	11	,	,	PUNCT
cieatasu-1519	282	12	p.	p.	PROPN
cieatasu-1519	282	13	w.	w.	PROPN
cieatasu-1519	282	14	,	,	PUNCT
cieatasu-1519	282	15	carlson	carlson	PROPN
cieatasu-1519	282	16	,	,	PUNCT
cieatasu-1519	282	17	m.	m.	NOUN
cieatasu-1519	282	18	p.	p.	PROPN
cieatasu-1519	282	19	,	,	PUNCT
cieatasu-1519	282	20	&	&	CCONJ
cieatasu-1519	282	21	silverman	silverman	PROPN
cieatasu-1519	282	22	,	,	PUNCT
cieatasu-1519	282	23	j.	j.	PROPN
cieatasu-1519	282	24	(	(	PUNCT
cieatasu-1519	282	25	2007	2007	NUM
cieatasu-1519	282	26	)	)	PUNCT
cieatasu-1519	282	27	.	.	PUNCT
cieatasu-1519	283	1	the	the	DET
cieatasu-1519	283	2	design	design	NOUN
cieatasu-1519	283	3	of	of	ADP
cieatasu-1519	283	4	tasks	task	NOUN
cieatasu-1519	283	5	in	in	ADP
cieatasu-1519	283	6	support	support	NOUN
cieatasu-1519	283	7	of	of	ADP
cieatasu-1519	283	8	teachers	teacher	NOUN
cieatasu-1519	283	9	’	'	PUNCT
cieatasu-1519	283	10	development	development	NOUN
cieatasu-1519	283	11	of	of	ADP
cieatasu-1519	283	12	coherent	coherent	ADJ
cieatasu-1519	283	13	mathematical	mathematical	ADJ
cieatasu-1519	283	14	meanings	meaning	NOUN
cieatasu-1519	283	15	.	.	PUNCT
cieatasu-1519	284	1	journal	journal	NOUN
cieatasu-1519	284	2	of	of	ADP
cieatasu-1519	284	3	mathematics	mathematics	PROPN
cieatasu-1519	284	4	teacher	teacher	NOUN
cieatasu-1519	284	5	education	education	NOUN
cieatasu-1519	284	6	,	,	PUNCT
cieatasu-1519	284	7	10(4	10(4	NUM
cieatasu-1519	284	8	-	-	SYM
cieatasu-1519	284	9	6	6	NUM
cieatasu-1519	284	10	)	)	PUNCT
cieatasu-1519	284	11	,	,	PUNCT
cieatasu-1519	284	12	415–432	415–432	X
cieatasu-1519	284	13	.	.	PUNCT
cieatasu-1519	284	14	doi:10.1007	doi:10.1007	PROPN
cieatasu-1519	284	15	/	/	SYM
cieatasu-1519	284	16	s10857	s10857	PROPN
cieatasu-1519	284	17	-	-	PUNCT
cieatasu-1519	284	18	007	007	NUM
cieatasu-1519	284	19	-	-	PUNCT
cieatasu-1519	284	20	9054	9054	NUM
cieatasu-1519	284	21	-	-	PUNCT
cieatasu-1519	284	22	8	8	NUM
cieatasu-1519	284	23	van	van	PROPN
cieatasu-1519	284	24	reeuwijk	reeuwijk	NOUN
cieatasu-1519	284	25	,	,	PUNCT
cieatasu-1519	284	26	m.	m.	NOUN
cieatasu-1519	284	27	(	(	PUNCT
cieatasu-1519	284	28	1995	1995	NUM
cieatasu-1519	284	29	)	)	PUNCT
cieatasu-1519	284	30	.	.	PUNCT
cieatasu-1519	285	1	the	the	DET
cieatasu-1519	285	2	role	role	NOUN
cieatasu-1519	285	3	of	of	ADP
cieatasu-1519	285	4	realistic	realistic	ADJ
cieatasu-1519	285	5	situations	situation	NOUN
cieatasu-1519	285	6	in	in	ADP
cieatasu-1519	285	7	developing	develop	VERB
cieatasu-1519	285	8	tools	tool	NOUN
cieatasu-1519	285	9	for	for	ADP
cieatasu-1519	285	10	solving	solve	VERB
cieatasu-1519	285	11	systems	system	NOUN
cieatasu-1519	285	12	of	of	ADP
cieatasu-1519	285	13	equations	equation	NOUN
cieatasu-1519	285	14	.	.	PUNCT
cieatasu-1519	286	1	paper	paper	NOUN
cieatasu-1519	286	2	presented	present	VERB
cieatasu-1519	286	3	at	at	ADP
cieatasu-1519	286	4	the	the	DET
cieatasu-1519	286	5	annual	annual	ADJ
cieatasu-1519	286	6	conference	conference	NOUN
cieatasu-1519	286	7	of	of	ADP
cieatasu-1519	286	8	the	the	DET
cieatasu-1519	286	9	american	american	PROPN
cieatasu-1519	286	10	educational	educational	PROPN
cieatasu-1519	286	11	research	research	PROPN
cieatasu-1519	286	12	association	association	PROPN
cieatasu-1519	286	13	,	,	PUNCT
cieatasu-1519	286	14	san	san	PROPN
cieatasu-1519	286	15	francisco	francisco	PROPN
cieatasu-1519	286	16	,	,	PUNCT
cieatasu-1519	286	17	ca	ca	PROPN
cieatasu-1519	286	18	.	.	PUNCT
cieatasu-1519	287	1	retrieved	retrieve	VERB
cieatasu-1519	287	2	from	from	ADP
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cieatasu-1519	287	4	http://www.fisme.science.uu.nl/publicaties/literatuur/3781.pdf	http://www.fisme.science.uu.nl/publicaties/literatuur/3781.pdf	PROPN
cieatasu-1519	287	5	lee	lee	PROPN
cieatasu-1519	287	6	&	&	CCONJ
cieatasu-1519	287	7	özgün	özgün	PROPN
cieatasu-1519	287	8	-	-	PUNCT
cieatasu-1519	287	9	koca	koca	NOUN
cieatasu-1519	287	10	:	:	PUNCT
cieatasu-1519	287	11	professional	professional	ADJ
cieatasu-1519	287	12	development	development	NOUN
cieatasu-1519	287	13	for	for	ADP
cieatasu-1519	287	14	mathematics	mathematics	NOUN
cieatasu-1519	287	15	teachers	teacher	NOUN
cieatasu-1519	287	16	:	:	PUNCT
cieatasu-1519	287	17	using	use	VERB
cieatasu-1519	287	18	task	task	NOUN
cieatasu-1519	287	19	design	design	NOUN
cieatasu-1519	287	20	and	and	CCONJ
cieatasu-1519	287	21	analysis	analysis	NOUN
cieatasu-1519	287	22	current	current	ADJ
cieatasu-1519	287	23	issues	issue	NOUN
cieatasu-1519	287	24	in	in	ADP
cieatasu-1519	287	25	education	education	NOUN
cieatasu-1519	287	26	,	,	PUNCT
cieatasu-1519	287	27	19(2	19(2	NUM
cieatasu-1519	287	28	)	)	PUNCT
cieatasu-1519	287	29	16	16	NUM
cieatasu-1519	287	30	author	author	NOUN
cieatasu-1519	287	31	notes	note	VERB
cieatasu-1519	287	32	hea	hea	PROPN
cieatasu-1519	287	33	-	-	PUNCT
cieatasu-1519	287	34	jin	jin	PROPN
cieatasu-1519	287	35	lee	lee	PROPN
cieatasu-1519	287	36	,	,	PUNCT
cieatasu-1519	287	37	ph.d	ph.d	PROPN
cieatasu-1519	287	38	.	.	PUNCT
cieatasu-1519	288	1	the	the	DET
cieatasu-1519	288	2	ohio	ohio	PROPN
cieatasu-1519	288	3	state	state	PROPN
cieatasu-1519	288	4	university	university	PROPN
cieatasu-1519	288	5	at	at	ADP
cieatasu-1519	288	6	lima	lima	PROPN
cieatasu-1519	288	7	,	,	PUNCT
cieatasu-1519	288	8	department	department	NOUN
cieatasu-1519	288	9	of	of	ADP
cieatasu-1519	288	10	teaching	teaching	NOUN
cieatasu-1519	288	11	and	and	CCONJ
cieatasu-1519	288	12	learning	learn	VERB
cieatasu-1519	288	13	4240	4240	NUM
cieatasu-1519	288	14	campus	campus	PROPN
cieatasu-1519	288	15	dr	dr	PROPN
cieatasu-1519	288	16	.	.	PROPN
cieatasu-1519	288	17	lima	lima	PROPN
cieatasu-1519	288	18	,	,	PUNCT
cieatasu-1519	288	19	oh	oh	INTJ
cieatasu-1519	288	20	.	.	PUNCT
cieatasu-1519	288	21	45804	45804	NUM
cieatasu-1519	288	22	lee.1129@osu.edu	lee.1129@osu.edu	PROPN
cieatasu-1519	289	1	dr	dr	PROPN
cieatasu-1519	289	2	.	.	PROPN
cieatasu-1519	289	3	hea	hea	PROPN
cieatasu-1519	289	4	-	-	PUNCT
cieatasu-1519	289	5	jin	jin	PROPN
cieatasu-1519	289	6	lee	lee	PROPN
cieatasu-1519	289	7	is	be	AUX
cieatasu-1519	289	8	associate	associate	ADJ
cieatasu-1519	289	9	professor	professor	NOUN
cieatasu-1519	289	10	of	of	ADP
cieatasu-1519	289	11	mathematics	mathematics	PROPN
cieatasu-1519	289	12	education	education	NOUN
cieatasu-1519	289	13	at	at	ADP
cieatasu-1519	289	14	the	the	DET
cieatasu-1519	289	15	ohio	ohio	PROPN
cieatasu-1519	289	16	state	state	PROPN
cieatasu-1519	289	17	university	university	PROPN
cieatasu-1519	289	18	.	.	PUNCT
cieatasu-1519	290	1	her	her	PRON
cieatasu-1519	290	2	research	research	NOUN
cieatasu-1519	290	3	addresses	address	NOUN
cieatasu-1519	290	4	:	:	PUNCT
cieatasu-1519	290	5	improving	improve	VERB
cieatasu-1519	290	6	reflective	reflective	ADJ
cieatasu-1519	290	7	thinking	thinking	NOUN
cieatasu-1519	290	8	and	and	CCONJ
cieatasu-1519	290	9	practice	practice	NOUN
cieatasu-1519	290	10	;	;	PUNCT
cieatasu-1519	290	11	assessing	assess	VERB
cieatasu-1519	290	12	professional	professional	ADJ
cieatasu-1519	290	13	growth	growth	NOUN
cieatasu-1519	290	14	;	;	PUNCT
cieatasu-1519	290	15	designing	design	VERB
cieatasu-1519	290	16	teacher	teacher	NOUN
cieatasu-1519	290	17	-	-	PUNCT
cieatasu-1519	290	18	needs	need	NOUN
cieatasu-1519	290	19	based	base	VERB
cieatasu-1519	290	20	professional	professional	ADJ
cieatasu-1519	290	21	development	development	NOUN
cieatasu-1519	290	22	programs	program	NOUN
cieatasu-1519	290	23	;	;	PUNCT
cieatasu-1519	290	24	analyzing	analyze	VERB
cieatasu-1519	290	25	the	the	DET
cieatasu-1519	290	26	effectiveness	effectiveness	NOUN
cieatasu-1519	290	27	of	of	ADP
cieatasu-1519	290	28	technology	technology	NOUN
cieatasu-1519	290	29	-	-	PUNCT
cieatasu-1519	290	30	enabled	enable	VERB
cieatasu-1519	290	31	teacher	teacher	NOUN
cieatasu-1519	290	32	professional	professional	ADJ
cieatasu-1519	290	33	development	development	NOUN
cieatasu-1519	290	34	;	;	PUNCT
cieatasu-1519	290	35	and	and	CCONJ
cieatasu-1519	290	36	teaching	teach	VERB
cieatasu-1519	290	37	mathematics	mathematic	NOUN
cieatasu-1519	290	38	to	to	ADP
cieatasu-1519	290	39	children	child	NOUN
cieatasu-1519	290	40	at	at	ADP
cieatasu-1519	290	41	various	various	ADJ
cieatasu-1519	290	42	levels	level	NOUN
cieatasu-1519	290	43	.	.	PUNCT
cieatasu-1519	291	1	s.	s.	PROPN
cieatasu-1519	291	2	asli	asli	PROPN
cieatasu-1519	291	3	özgün	özgün	PROPN
cieatasu-1519	291	4	-	-	PUNCT
cieatasu-1519	291	5	koca	koca	PROPN
cieatasu-1519	291	6	,	,	PUNCT
cieatasu-1519	291	7	ph.d	ph.d	PROPN
cieatasu-1519	291	8	.	.	PROPN
cieatasu-1519	292	1	wayne	wayne	PROPN
cieatasu-1519	292	2	state	state	PROPN
cieatasu-1519	292	3	university	university	PROPN
cieatasu-1519	292	4	5425	5425	NUM
cieatasu-1519	292	5	gullen	gullen	NOUN
cieatasu-1519	292	6	mall	mall	NOUN
cieatasu-1519	292	7	,	,	PUNCT
cieatasu-1519	292	8	249	249	NUM
cieatasu-1519	292	9	education	education	NOUN
cieatasu-1519	292	10	building	building	NOUN
cieatasu-1519	292	11	,	,	PUNCT
cieatasu-1519	292	12	detroit	detroit	PROPN
cieatasu-1519	292	13	,	,	PUNCT
cieatasu-1519	292	14	mi	mi	PROPN
cieatasu-1519	292	15	.	.	PROPN
cieatasu-1519	292	16	48202	48202	NUM
cieatasu-1519	292	17	aokoca@wayne.edu	aokoca@wayne.edu	PUNCT
cieatasu-1519	293	1	dr	dr	PROPN
cieatasu-1519	293	2	.	.	PROPN
cieatasu-1519	293	3	s.	s.	PROPN
cieatasu-1519	293	4	asli	asli	PROPN
cieatasu-1519	293	5	özgün	özgün	PROPN
cieatasu-1519	293	6	-	-	PUNCT
cieatasu-1519	293	7	koca	koca	PROPN
cieatasu-1519	293	8	is	be	AUX
cieatasu-1519	293	9	associate	associate	ADJ
cieatasu-1519	293	10	professor	professor	NOUN
cieatasu-1519	293	11	of	of	ADP
cieatasu-1519	293	12	mathematics	mathematics	PROPN
cieatasu-1519	293	13	education	education	NOUN
cieatasu-1519	293	14	in	in	ADP
cieatasu-1519	293	15	the	the	DET
cieatasu-1519	293	16	college	college	NOUN
cieatasu-1519	293	17	of	of	ADP
cieatasu-1519	293	18	education	education	NOUN
cieatasu-1519	293	19	of	of	ADP
cieatasu-1519	293	20	wayne	wayne	PROPN
cieatasu-1519	293	21	state	state	PROPN
cieatasu-1519	293	22	university	university	PROPN
cieatasu-1519	293	23	with	with	ADP
cieatasu-1519	293	24	special	special	ADJ
cieatasu-1519	293	25	expertise	expertise	NOUN
cieatasu-1519	293	26	in	in	ADP
cieatasu-1519	293	27	the	the	DET
cieatasu-1519	293	28	use	use	NOUN
cieatasu-1519	293	29	of	of	ADP
cieatasu-1519	293	30	technology	technology	NOUN
cieatasu-1519	293	31	to	to	PART
cieatasu-1519	293	32	enhance	enhance	VERB
cieatasu-1519	293	33	middle	middle	ADJ
cieatasu-1519	293	34	school	school	NOUN
cieatasu-1519	293	35	and	and	CCONJ
cieatasu-1519	293	36	high	high	ADJ
cieatasu-1519	293	37	school	school	NOUN
cieatasu-1519	293	38	mathematics	mathematic	NOUN
cieatasu-1519	293	39	education	education	NOUN
cieatasu-1519	293	40	.	.	PUNCT
cieatasu-1519	294	1	her	her	PRON
cieatasu-1519	294	2	major	major	ADJ
cieatasu-1519	294	3	area	area	NOUN
cieatasu-1519	294	4	of	of	ADP
cieatasu-1519	294	5	research	research	NOUN
cieatasu-1519	294	6	interest	interest	NOUN
cieatasu-1519	294	7	is	be	AUX
cieatasu-1519	294	8	to	to	PART
cieatasu-1519	294	9	study	study	VERB
cieatasu-1519	294	10	the	the	DET
cieatasu-1519	294	11	process	process	NOUN
cieatasu-1519	294	12	by	by	ADP
cieatasu-1519	294	13	which	which	PRON
cieatasu-1519	294	14	students	student	NOUN
cieatasu-1519	294	15	use	use	VERB
cieatasu-1519	294	16	graphing	graphing	NOUN
cieatasu-1519	294	17	calculators	calculator	NOUN
cieatasu-1519	294	18	,	,	PUNCT
cieatasu-1519	294	19	other	other	ADJ
cieatasu-1519	294	20	handheld	handheld	NOUN
cieatasu-1519	294	21	devices	device	NOUN
cieatasu-1519	294	22	and	and	CCONJ
cieatasu-1519	294	23	software	software	NOUN
cieatasu-1519	294	24	,	,	PUNCT
cieatasu-1519	294	25	and	and	CCONJ
cieatasu-1519	294	26	to	to	PART
cieatasu-1519	294	27	develop	develop	VERB
cieatasu-1519	294	28	curriculum	curriculum	NOUN
cieatasu-1519	294	29	materials	material	NOUN
cieatasu-1519	294	30	with	with	ADP
cieatasu-1519	294	31	authentic	authentic	ADJ
cieatasu-1519	294	32	contexts	contexts	NOUN
cieatasu-1519	294	33	for	for	ADP
cieatasu-1519	294	34	middle	middle	ADJ
cieatasu-1519	294	35	school	school	NOUN
cieatasu-1519	294	36	students	student	NOUN
cieatasu-1519	294	37	.	.	PUNCT
cieatasu-1519	295	1	mailto:lee.1129@osu.edu	mailto:lee.1129@osu.edu	PROPN
cieatasu-1519	295	2	https://email.osu.edu/owa/redir.aspx?c=r5ayptxxjesmkbu_q84vpb42tzxl5neiz7mv7hwyephalqo3m8wqx-c190btyi0wizrjldzwyw0.&url=mailto%3aaokoca%40wayne.edu	https://email.osu.edu/owa/redir.aspx?c=r5ayptxxjesmkbu_q84vpb42tzxl5neiz7mv7hwyephalqo3m8wqx-c190btyi0wizrjldzwyw0.&url=mailto%3aaokoca%40wayne.edu	PROPN
cieatasu-1519	295	3	lee	lee	PROPN
cieatasu-1519	295	4	&	&	CCONJ
cieatasu-1519	295	5	özgün	özgün	PROPN
cieatasu-1519	295	6	-	-	PUNCT
cieatasu-1519	295	7	koca	koca	NOUN
cieatasu-1519	295	8	:	:	PUNCT
cieatasu-1519	295	9	professional	professional	ADJ
cieatasu-1519	295	10	development	development	NOUN
cieatasu-1519	295	11	for	for	ADP
cieatasu-1519	295	12	mathematics	mathematics	NOUN
cieatasu-1519	295	13	teachers	teacher	NOUN
cieatasu-1519	295	14	:	:	PUNCT
cieatasu-1519	295	15	using	use	VERB
cieatasu-1519	295	16	task	task	NOUN
cieatasu-1519	295	17	design	design	NOUN
cieatasu-1519	295	18	and	and	CCONJ
cieatasu-1519	295	19	analysis	analysis	NOUN
cieatasu-1519	295	20	current	current	ADJ
cieatasu-1519	295	21	issues	issue	NOUN
cieatasu-1519	295	22	in	in	ADP
cieatasu-1519	295	23	education	education	NOUN
cieatasu-1519	295	24	,	,	PUNCT
cieatasu-1519	295	25	19(2	19(2	NUM
cieatasu-1519	295	26	)	)	PUNCT
cieatasu-1519	295	27	17	17	NUM
cieatasu-1519	295	28	volume	volume	NOUN
cieatasu-1519	295	29	19	19	NUM
cieatasu-1519	295	30	,	,	PUNCT
cieatasu-1519	295	31	issue	issue	NOUN
cieatasu-1519	295	32	2	2	NUM
cieatasu-1519	295	33	august	august	PROPN
cieatasu-1519	295	34	15	15	NUM
cieatasu-1519	295	35	,	,	PUNCT
cieatasu-1519	295	36	2016	2016	NUM
cieatasu-1519	295	37	issn	issn	PROPN
cieatasu-1519	295	38	1099	1099	NUM
cieatasu-1519	295	39	-	-	PUNCT
cieatasu-1519	295	40	839x	839x	NOUN
cieatasu-1519	295	41	readers	reader	NOUN
cieatasu-1519	295	42	are	be	AUX
cieatasu-1519	295	43	free	free	ADJ
cieatasu-1519	295	44	to	to	PART
cieatasu-1519	295	45	copy	copy	VERB
cieatasu-1519	295	46	,	,	PUNCT
cieatasu-1519	295	47	display	display	NOUN
cieatasu-1519	295	48	,	,	PUNCT
cieatasu-1519	295	49	and	and	CCONJ
cieatasu-1519	295	50	distribute	distribute	VERB
cieatasu-1519	295	51	this	this	DET
cieatasu-1519	295	52	article	article	NOUN
cieatasu-1519	295	53	,	,	PUNCT
cieatasu-1519	295	54	as	as	ADV
cieatasu-1519	295	55	long	long	ADV
cieatasu-1519	295	56	as	as	SCONJ
cieatasu-1519	295	57	the	the	DET
cieatasu-1519	295	58	work	work	NOUN
cieatasu-1519	295	59	is	be	AUX
cieatasu-1519	295	60	attributed	attribute	VERB
cieatasu-1519	295	61	to	to	ADP
cieatasu-1519	295	62	the	the	DET
cieatasu-1519	295	63	author(s	author(s	NOUN
cieatasu-1519	295	64	)	)	PUNCT
cieatasu-1519	295	65	and	and	CCONJ
cieatasu-1519	295	66	current	current	ADJ
cieatasu-1519	295	67	issues	issue	NOUN
cieatasu-1519	295	68	in	in	ADP
cieatasu-1519	295	69	education	education	NOUN
cieatasu-1519	295	70	(	(	PUNCT
cieatasu-1519	295	71	cie	cie	PROPN
cieatasu-1519	295	72	)	)	PUNCT
cieatasu-1519	295	73	,	,	PUNCT
cieatasu-1519	295	74	it	it	PRON
cieatasu-1519	295	75	is	be	AUX
cieatasu-1519	295	76	distributed	distribute	VERB
cieatasu-1519	295	77	for	for	ADP
cieatasu-1519	295	78	non	non	ADJ
cieatasu-1519	295	79	-	-	ADJ
cieatasu-1519	295	80	commercial	commercial	ADJ
cieatasu-1519	295	81	purposes	purpose	NOUN
cieatasu-1519	295	82	only	only	ADV
cieatasu-1519	295	83	,	,	PUNCT
cieatasu-1519	295	84	and	and	CCONJ
cieatasu-1519	295	85	no	no	DET
cieatasu-1519	295	86	alteration	alteration	NOUN
cieatasu-1519	295	87	or	or	CCONJ
cieatasu-1519	295	88	transformation	transformation	NOUN
cieatasu-1519	295	89	is	be	AUX
cieatasu-1519	295	90	made	make	VERB
cieatasu-1519	295	91	in	in	ADP
cieatasu-1519	295	92	the	the	DET
cieatasu-1519	295	93	work	work	NOUN
cieatasu-1519	295	94	.	.	PUNCT
cieatasu-1519	296	1	more	more	ADJ
cieatasu-1519	296	2	details	detail	NOUN
cieatasu-1519	296	3	of	of	ADP
cieatasu-1519	296	4	this	this	DET
cieatasu-1519	296	5	creative	creative	ADJ
cieatasu-1519	296	6	commons	common	NOUN
cieatasu-1519	296	7	license	license	NOUN
cieatasu-1519	296	8	are	be	AUX
cieatasu-1519	296	9	available	available	ADJ
cieatasu-1519	296	10	at	at	ADP
cieatasu-1519	296	11	http://creativecommons.org/licenses/by-nc-sa/3.0/.	http://creativecommons.org/licenses/by-nc-sa/3.0/.	NOUN
cieatasu-1519	296	12	all	all	DET
cieatasu-1519	296	13	other	other	ADJ
cieatasu-1519	296	14	uses	use	NOUN
cieatasu-1519	296	15	must	must	AUX
cieatasu-1519	296	16	be	be	AUX
cieatasu-1519	296	17	approved	approve	VERB
cieatasu-1519	296	18	by	by	ADP
cieatasu-1519	296	19	the	the	DET
cieatasu-1519	296	20	author(s	author(s	NOUN
cieatasu-1519	296	21	)	)	PUNCT
cieatasu-1519	296	22	or	or	CCONJ
cieatasu-1519	297	1	cie	cie	PROPN
cieatasu-1519	297	2	.	.	PUNCT
cieatasu-1519	298	1	requests	request	NOUN
cieatasu-1519	298	2	to	to	PART
cieatasu-1519	298	3	reprint	reprint	VERB
cieatasu-1519	298	4	cie	cie	PROPN
cieatasu-1519	298	5	articles	article	NOUN
cieatasu-1519	298	6	in	in	ADP
cieatasu-1519	298	7	other	other	ADJ
cieatasu-1519	298	8	journals	journal	NOUN
cieatasu-1519	298	9	should	should	AUX
cieatasu-1519	298	10	be	be	AUX
cieatasu-1519	298	11	addressed	address	VERB
cieatasu-1519	298	12	to	to	ADP
cieatasu-1519	298	13	the	the	DET
cieatasu-1519	298	14	author	author	NOUN
cieatasu-1519	298	15	.	.	PUNCT
cieatasu-1519	299	1	reprints	reprint	NOUN
cieatasu-1519	299	2	should	should	AUX
cieatasu-1519	299	3	credit	credit	VERB
cieatasu-1519	299	4	cie	cie	PROPN
cieatasu-1519	299	5	as	as	ADP
cieatasu-1519	299	6	the	the	DET
cieatasu-1519	299	7	original	original	ADJ
cieatasu-1519	299	8	publisher	publisher	NOUN
cieatasu-1519	299	9	and	and	CCONJ
cieatasu-1519	299	10	include	include	VERB
cieatasu-1519	299	11	the	the	DET
cieatasu-1519	299	12	url	url	NOUN
cieatasu-1519	299	13	of	of	ADP
cieatasu-1519	299	14	the	the	DET
cieatasu-1519	299	15	cie	cie	PROPN
cieatasu-1519	299	16	publication	publication	NOUN
cieatasu-1519	299	17	.	.	PUNCT
cieatasu-1519	300	1	cie	cie	PROPN
cieatasu-1519	300	2	is	be	AUX
cieatasu-1519	300	3	published	publish	VERB
cieatasu-1519	300	4	by	by	ADP
cieatasu-1519	300	5	the	the	DET
cieatasu-1519	300	6	mary	mary	PROPN
cieatasu-1519	300	7	lou	lou	PROPN
cieatasu-1519	300	8	fulton	fulton	PROPN
cieatasu-1519	300	9	teachers	teachers	PROPN
cieatasu-1519	300	10	college	college	PROPN
cieatasu-1519	300	11	at	at	ADP
cieatasu-1519	300	12	arizona	arizona	PROPN
cieatasu-1519	300	13	state	state	PROPN
cieatasu-1519	300	14	university	university	PROPN
cieatasu-1519	300	15	.	.	PUNCT
cieatasu-1519	301	1	editorial	editorial	ADJ
cieatasu-1519	301	2	team	team	NOUN
cieatasu-1519	301	3	executive	executive	PROPN
cieatasu-1519	301	4	editor	editor	NOUN
cieatasu-1519	301	5	constantin	constantin	PROPN
cieatasu-1519	301	6	schreiber	schreiber	PROPN
cieatasu-1519	301	7	assistant	assistant	PROPN
cieatasu-1519	301	8	executive	executive	PROPN
cieatasu-1519	301	9	editor	editor	NOUN
cieatasu-1519	301	10	anna	anna	PROPN
cieatasu-1519	301	11	montana	montana	PROPN
cieatasu-1519	301	12	cirell	cirell	PROPN
cieatasu-1519	301	13	authentications	authentication	NOUN
cieatasu-1519	301	14	editor	editor	NOUN
cieatasu-1519	301	15	tray	tray	VERB
cieatasu-1519	301	16	j.	j.	PROPN
cieatasu-1519	301	17	geiger	geiger	PROPN
cieatasu-1519	301	18	layout	layout	PROPN
cieatasu-1519	301	19	editor	editor	PROPN
cieatasu-1519	301	20	constantin	constantin	PROPN
cieatasu-1519	301	21	schreiber	schreiber	PROPN
cieatasu-1519	301	22	copy	copy	VERB
cieatasu-1519	301	23	editor	editor	PROPN
cieatasu-1519	301	24	lucinda	lucinda	PROPN
cieatasu-1519	301	25	watson	watson	PROPN
cieatasu-1519	301	26	section	section	PROPN
cieatasu-1519	301	27	editors	editor	NOUN
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