id	sid	tid	token	lemma	pos
atpp-1025	1	1	analytic	analytic	ADJ
atpp-1025	1	2	teaching	teaching	NOUN
atpp-1025	1	3	and	and	CCONJ
atpp-1025	1	4	philosophical	philosophical	ADJ
atpp-1025	1	5	praxis	praxis	ADJ
atpp-1025	1	6	vol	vol	NOUN
atpp-1025	1	7	.	.	PROPN
atpp-1025	1	8	29	29	NUM
atpp-1025	2	1	no.1	no.1	VERB
atpp-1025	2	2	53	53	NUM
atpp-1025	2	3	characteristics	characteristic	NOUN
atpp-1025	2	4	of	of	ADP
atpp-1025	2	5	a	a	DET
atpp-1025	2	6	high	high	ADJ
atpp-1025	2	7	school	school	NOUN
atpp-1025	2	8	classroom	classroom	NOUN
atpp-1025	2	9	community	community	NOUN
atpp-1025	2	10	of	of	ADP
atpp-1025	2	11	mathematical	mathematical	ADJ
atpp-1025	2	12	inquiry	inquiry	NOUN
atpp-1025	2	13	raymond	raymond	PROPN
atpp-1025	2	14	siegrist	siegrist	NOUN
atpp-1025	2	15	when	when	SCONJ
atpp-1025	2	16	a	a	DET
atpp-1025	2	17	community	community	NOUN
atpp-1025	2	18	of	of	ADP
atpp-1025	2	19	inquiry	inquiry	NOUN
atpp-1025	2	20	is	be	AUX
atpp-1025	2	21	adopted	adopt	VERB
atpp-1025	2	22	for	for	ADP
atpp-1025	2	23	teaching	teach	VERB
atpp-1025	2	24	mathematics	mathematic	NOUN
atpp-1025	2	25	,	,	PUNCT
atpp-1025	2	26	characteristics	characteristic	NOUN
atpp-1025	2	27	need	need	VERB
atpp-1025	2	28	to	to	PART
atpp-1025	2	29	be	be	AUX
atpp-1025	2	30	identified	identify	VERB
atpp-1025	2	31	to	to	PART
atpp-1025	2	32	determine	determine	VERB
atpp-1025	2	33	if	if	SCONJ
atpp-1025	2	34	a	a	DET
atpp-1025	2	35	community	community	NOUN
atpp-1025	2	36	of	of	ADP
atpp-1025	2	37	inquiry	inquiry	NOUN
atpp-1025	2	38	forms	form	NOUN
atpp-1025	2	39	.	.	PUNCT
atpp-1025	3	1	one	one	NUM
atpp-1025	3	2	essential	essential	ADJ
atpp-1025	3	3	characteristic	characteristic	NOUN
atpp-1025	3	4	of	of	ADP
atpp-1025	3	5	a	a	DET
atpp-1025	3	6	community	community	NOUN
atpp-1025	3	7	of	of	ADP
atpp-1025	3	8	mathematical	mathematical	ADJ
atpp-1025	3	9	inquiry	inquiry	NOUN
atpp-1025	3	10	is	be	AUX
atpp-1025	3	11	that	that	SCONJ
atpp-1025	3	12	members	member	NOUN
atpp-1025	3	13	develop	develop	VERB
atpp-1025	3	14	their	their	PRON
atpp-1025	3	15	understanding	understanding	NOUN
atpp-1025	3	16	of	of	ADP
atpp-1025	3	17	mathematics	mathematic	NOUN
atpp-1025	3	18	through	through	ADP
atpp-1025	3	19	dialogue	dialogue	NOUN
atpp-1025	3	20	.	.	PUNCT
atpp-1025	4	1	scholars	scholar	NOUN
atpp-1025	4	2	in	in	ADP
atpp-1025	4	3	fields	field	NOUN
atpp-1025	4	4	other	other	ADJ
atpp-1025	4	5	than	than	ADP
atpp-1025	4	6	mathematics	mathematic	NOUN
atpp-1025	4	7	have	have	AUX
atpp-1025	4	8	emphasized	emphasize	VERB
atpp-1025	4	9	the	the	DET
atpp-1025	4	10	importance	importance	NOUN
atpp-1025	4	11	of	of	ADP
atpp-1025	4	12	incorporating	incorporate	VERB
atpp-1025	4	13	dialogue	dialogue	NOUN
atpp-1025	4	14	in	in	ADP
atpp-1025	4	15	instruction	instruction	NOUN
atpp-1025	4	16	:	:	PUNCT
atpp-1025	4	17	•	•	ADP
atpp-1025	4	18	the	the	DET
atpp-1025	4	19	learning	learning	NOUN
atpp-1025	4	20	of	of	ADP
atpp-1025	4	21	content	content	NOUN
atpp-1025	4	22	through	through	ADP
atpp-1025	4	23	the	the	DET
atpp-1025	4	24	dialogical	dialogical	ADJ
atpp-1025	4	25	process	process	NOUN
atpp-1025	4	26	enhances	enhance	VERB
atpp-1025	4	27	the	the	DET
atpp-1025	4	28	understanding	understanding	NOUN
atpp-1025	4	29	,	,	PUNCT
atpp-1025	4	30	retention	retention	NOUN
atpp-1025	4	31	,	,	PUNCT
atpp-1025	4	32	and	and	CCONJ
atpp-1025	4	33	application	application	NOUN
atpp-1025	4	34	of	of	ADP
atpp-1025	4	35	the	the	DET
atpp-1025	4	36	content	content	NOUN
atpp-1025	4	37	(	(	PUNCT
atpp-1025	4	38	fernandez	fernandez	PROPN
atpp-1025	4	39	-	-	PUNCT
atpp-1025	4	40	balboa	balboa	PROPN
atpp-1025	4	41	&	&	CCONJ
atpp-1025	4	42	marshall	marshall	PROPN
atpp-1025	4	43	,	,	PUNCT
atpp-1025	4	44	1994	1994	NUM
atpp-1025	4	45	,	,	PUNCT
atpp-1025	4	46	p.	p.	NOUN
atpp-1025	4	47	174	174	NUM
atpp-1025	4	48	)	)	PUNCT
atpp-1025	4	49	.	.	PUNCT
atpp-1025	5	1	•	•	NUM
atpp-1025	5	2	dialogue	dialogue	NOUN
atpp-1025	5	3	…	…	PUNCT
atpp-1025	6	1	[	[	X
atpp-1025	6	2	is	be	AUX
atpp-1025	6	3	]	]	X
atpp-1025	6	4	the	the	DET
atpp-1025	6	5	best	well	ADV
atpp-1025	6	6	available	available	ADJ
atpp-1025	6	7	means	mean	NOUN
atpp-1025	6	8	we	we	PRON
atpp-1025	6	9	have	have	VERB
atpp-1025	6	10	for	for	ADP
atpp-1025	6	11	identifying	identify	VERB
atpp-1025	6	12	among	among	ADP
atpp-1025	6	13	ourselves	ourselves	PRON
atpp-1025	6	14	acceptable	acceptable	ADJ
atpp-1025	6	15	answers	answer	NOUN
atpp-1025	6	16	,	,	PUNCT
atpp-1025	6	17	workable	workable	ADJ
atpp-1025	6	18	solutions	solution	NOUN
atpp-1025	6	19	,	,	PUNCT
atpp-1025	6	20	and	and	CCONJ
atpp-1025	6	21	reasonable	reasonable	ADJ
atpp-1025	6	22	accommodations	accommodation	NOUN
atpp-1025	6	23	(	(	PUNCT
atpp-1025	6	24	burbules	burbule	NOUN
atpp-1025	6	25	,	,	PUNCT
atpp-1025	6	26	1993	1993	NUM
atpp-1025	6	27	,	,	PUNCT
atpp-1025	6	28	p.	p.	NOUN
atpp-1025	6	29	16	16	NUM
atpp-1025	6	30	)	)	PUNCT
atpp-1025	6	31	.	.	PUNCT
atpp-1025	7	1	•	•	NUM
atpp-1025	8	1	[	[	X
atpp-1025	8	2	meaningful	meaningful	ADJ
atpp-1025	8	3	learning	learning	NOUN
atpp-1025	8	4	]	]	PUNCT
atpp-1025	8	5	is	be	AUX
atpp-1025	8	6	much	much	ADV
atpp-1025	8	7	more	more	ADV
atpp-1025	8	8	likely	likely	ADJ
atpp-1025	8	9	to	to	PART
atpp-1025	8	10	occur	occur	VERB
atpp-1025	8	11	when	when	SCONJ
atpp-1025	8	12	dialogue	dialogue	NOUN
atpp-1025	8	13	is	be	AUX
atpp-1025	8	14	present	present	ADJ
atpp-1025	8	15	,	,	PUNCT
atpp-1025	8	16	for	for	ADP
atpp-1025	8	17	the	the	DET
atpp-1025	8	18	simple	simple	ADJ
atpp-1025	8	19	reason	reason	NOUN
atpp-1025	8	20	that	that	PRON
atpp-1025	8	21	direct	direct	ADJ
atpp-1025	8	22	communication	communication	NOUN
atpp-1025	8	23	among	among	ADP
atpp-1025	8	24	equals	equal	NOUN
atpp-1025	8	25	is	be	AUX
atpp-1025	8	26	the	the	DET
atpp-1025	8	27	only	only	ADJ
atpp-1025	8	28	reliable	reliable	ADJ
atpp-1025	8	29	and	and	CCONJ
atpp-1025	8	30	systematic	systematic	ADJ
atpp-1025	8	31	dynamic	dynamic	ADJ
atpp-1025	8	32	available	available	ADJ
atpp-1025	8	33	to	to	ADP
atpp-1025	8	34	those	those	PRON
atpp-1025	8	35	who	who	PRON
atpp-1025	8	36	would	would	AUX
atpp-1025	8	37	incorporate	incorporate	VERB
atpp-1025	8	38	the	the	DET
atpp-1025	8	39	viewpoints	viewpoint	NOUN
atpp-1025	8	40	of	of	ADP
atpp-1025	8	41	others	other	NOUN
atpp-1025	8	42	into	into	ADP
atpp-1025	8	43	their	their	PRON
atpp-1025	8	44	own	own	ADJ
atpp-1025	8	45	personal	personal	ADJ
atpp-1025	8	46	perspectives	perspective	NOUN
atpp-1025	8	47	(	(	PUNCT
atpp-1025	8	48	splitter	splitter	NOUN
atpp-1025	8	49	&	&	CCONJ
atpp-1025	8	50	sharp	sharp	ADJ
atpp-1025	8	51	,	,	PUNCT
atpp-1025	8	52	1995	1995	NUM
atpp-1025	8	53	,	,	PUNCT
atpp-1025	8	54	p.	p.	NOUN
atpp-1025	8	55	83	83	NUM
atpp-1025	8	56	)	)	PUNCT
atpp-1025	8	57	.	.	PUNCT
atpp-1025	9	1	dialogue	dialogue	NOUN
atpp-1025	9	2	is	be	AUX
atpp-1025	9	3	the	the	DET
atpp-1025	9	4	medium	medium	NOUN
atpp-1025	9	5	by	by	ADP
atpp-1025	9	6	which	which	PRON
atpp-1025	9	7	students	student	NOUN
atpp-1025	9	8	in	in	ADP
atpp-1025	9	9	a	a	DET
atpp-1025	9	10	community	community	NOUN
atpp-1025	9	11	of	of	ADP
atpp-1025	9	12	mathematical	mathematical	ADJ
atpp-1025	9	13	inquiry	inquiry	NOUN
atpp-1025	9	14	communally	communally	ADV
atpp-1025	9	15	make	make	VERB
atpp-1025	9	16	their	their	PRON
atpp-1025	9	17	own	own	ADJ
atpp-1025	9	18	meaning	meaning	NOUN
atpp-1025	9	19	of	of	ADP
atpp-1025	9	20	mathematics	mathematic	NOUN
atpp-1025	9	21	.	.	PUNCT
atpp-1025	10	1	burbules	burbule	NOUN
atpp-1025	10	2	(	(	PUNCT
atpp-1025	10	3	1993	1993	NUM
atpp-1025	10	4	)	)	PUNCT
atpp-1025	10	5	views	view	VERB
atpp-1025	10	6	dialogue	dialogue	NOUN
atpp-1025	10	7	as	as	ADP
atpp-1025	10	8	“	"	PUNCT
atpp-1025	10	9	a	a	DET
atpp-1025	10	10	continuous	continuous	ADJ
atpp-1025	10	11	,	,	PUNCT
atpp-1025	10	12	developmental	developmental	ADJ
atpp-1025	10	13	communicative	communicative	ADJ
atpp-1025	10	14	interchange	interchange	NOUN
atpp-1025	10	15	through	through	ADP
atpp-1025	10	16	which	which	PRON
atpp-1025	10	17	we	we	PRON
atpp-1025	10	18	stand	stand	VERB
atpp-1025	10	19	to	to	PART
atpp-1025	10	20	gain	gain	VERB
atpp-1025	10	21	a	a	DET
atpp-1025	10	22	fuller	full	ADJ
atpp-1025	10	23	appreciation	appreciation	NOUN
atpp-1025	10	24	of	of	ADP
atpp-1025	10	25	the	the	DET
atpp-1025	10	26	world	world	NOUN
atpp-1025	10	27	,	,	PUNCT
atpp-1025	10	28	ourselves	ourselves	PRON
atpp-1025	10	29	,	,	PUNCT
atpp-1025	10	30	and	and	CCONJ
atpp-1025	10	31	one	one	NUM
atpp-1025	10	32	another	another	DET
atpp-1025	10	33	”	"	PUNCT
atpp-1025	10	34	(	(	PUNCT
atpp-1025	10	35	p.	p.	NOUN
atpp-1025	10	36	8)	8)	NUM
atpp-1025	10	37	.	.	PUNCT
atpp-1025	11	1	a	a	DET
atpp-1025	11	2	definition	definition	NOUN
atpp-1025	11	3	of	of	ADP
atpp-1025	11	4	dialogue	dialogue	NOUN
atpp-1025	11	5	is	be	AUX
atpp-1025	11	6	elusive	elusive	ADJ
atpp-1025	11	7	,	,	PUNCT
atpp-1025	11	8	but	but	CCONJ
atpp-1025	11	9	several	several	ADJ
atpp-1025	11	10	studies	study	NOUN
atpp-1025	11	11	have	have	AUX
atpp-1025	11	12	described	describe	VERB
atpp-1025	11	13	its	its	PRON
atpp-1025	11	14	characteristics	characteristic	NOUN
atpp-1025	11	15	.	.	PUNCT
atpp-1025	12	1	dialogue	dialogue	NOUN
atpp-1025	12	2	occurs	occur	VERB
atpp-1025	12	3	when	when	SCONJ
atpp-1025	12	4	there	there	PRON
atpp-1025	12	5	is	be	VERB
atpp-1025	12	6	an	an	DET
atpp-1025	12	7	open	open	ADJ
atpp-1025	12	8	,	,	PUNCT
atpp-1025	12	9	unforced	unforced	ADJ
atpp-1025	12	10	sharing	sharing	NOUN
atpp-1025	12	11	by	by	ADP
atpp-1025	12	12	two	two	NUM
atpp-1025	12	13	or	or	CCONJ
atpp-1025	12	14	more	more	ADJ
atpp-1025	12	15	participants	participant	NOUN
atpp-1025	12	16	.	.	PUNCT
atpp-1025	13	1	even	even	ADV
atpp-1025	13	2	in	in	ADP
atpp-1025	13	3	the	the	DET
atpp-1025	13	4	light	light	NOUN
atpp-1025	13	5	of	of	ADP
atpp-1025	13	6	disagreements	disagreement	NOUN
atpp-1025	13	7	a	a	DET
atpp-1025	13	8	participant	participant	NOUN
atpp-1025	13	9	remains	remain	VERB
atpp-1025	13	10	interested	interested	ADJ
atpp-1025	13	11	in	in	ADP
atpp-1025	13	12	,	,	PUNCT
atpp-1025	13	13	concerned	concerned	ADJ
atpp-1025	13	14	for	for	ADP
atpp-1025	13	15	,	,	PUNCT
atpp-1025	13	16	and	and	CCONJ
atpp-1025	13	17	respectful	respectful	ADJ
atpp-1025	13	18	of	of	ADP
atpp-1025	13	19	all	all	DET
atpp-1025	13	20	other	other	ADJ
atpp-1025	13	21	participants	participant	NOUN
atpp-1025	13	22	by	by	ADP
atpp-1025	13	23	following	follow	VERB
atpp-1025	13	24	agreed	agree	VERB
atpp-1025	13	25	upon	upon	SCONJ
atpp-1025	13	26	maxims	maxim	NOUN
atpp-1025	13	27	.	.	PUNCT
atpp-1025	14	1	all	all	DET
atpp-1025	14	2	participation	participation	NOUN
atpp-1025	14	3	is	be	AUX
atpp-1025	14	4	guided	guide	VERB
atpp-1025	14	5	by	by	ADP
atpp-1025	14	6	discovery	discovery	NOUN
atpp-1025	14	7	on	on	ADP
atpp-1025	14	8	a	a	DET
atpp-1025	14	9	topic	topic	NOUN
atpp-1025	14	10	of	of	ADP
atpp-1025	14	11	common	common	ADJ
atpp-1025	14	12	interest	interest	NOUN
atpp-1025	14	13	with	with	ADP
atpp-1025	14	14	value	value	NOUN
atpp-1025	14	15	given	give	VERB
atpp-1025	14	16	to	to	ADP
atpp-1025	14	17	all	all	DET
atpp-1025	14	18	contributions	contribution	NOUN
atpp-1025	14	19	of	of	ADP
atpp-1025	14	20	the	the	DET
atpp-1025	14	21	participants	participant	NOUN
atpp-1025	14	22	.	.	PUNCT
atpp-1025	15	1	a	a	DET
atpp-1025	15	2	continuous	continuous	ADJ
atpp-1025	15	3	dialogue	dialogue	NOUN
atpp-1025	15	4	enables	enable	VERB
atpp-1025	15	5	participants	participant	NOUN
atpp-1025	15	6	to	to	PART
atpp-1025	15	7	construct	construct	VERB
atpp-1025	15	8	knowledge	knowledge	NOUN
atpp-1025	15	9	and	and	CCONJ
atpp-1025	15	10	then	then	ADV
atpp-1025	15	11	reconstruct	reconstruct	VERB
atpp-1025	15	12	knowledge	knowledge	NOUN
atpp-1025	15	13	as	as	SCONJ
atpp-1025	15	14	diverse	diverse	ADJ
atpp-1025	15	15	voices	voice	NOUN
atpp-1025	15	16	synthesize	synthesize	VERB
atpp-1025	15	17	expressed	express	VERB
atpp-1025	15	18	ideas	idea	NOUN
atpp-1025	15	19	.	.	PUNCT
atpp-1025	16	1	transformation	transformation	NOUN
atpp-1025	16	2	of	of	ADP
atpp-1025	16	3	knowledge	knowledge	NOUN
atpp-1025	16	4	occurs	occur	VERB
atpp-1025	16	5	in	in	ADP
atpp-1025	16	6	a	a	DET
atpp-1025	16	7	dialogue	dialogue	NOUN
atpp-1025	16	8	as	as	SCONJ
atpp-1025	16	9	participants	participant	NOUN
atpp-1025	16	10	propose	propose	VERB
atpp-1025	16	11	,	,	PUNCT
atpp-1025	16	12	defend	defend	VERB
atpp-1025	16	13	,	,	PUNCT
atpp-1025	16	14	abandon	abandon	VERB
atpp-1025	16	15	,	,	PUNCT
atpp-1025	16	16	and	and	CCONJ
atpp-1025	16	17	accept	accept	VERB
atpp-1025	16	18	ideas	idea	NOUN
atpp-1025	16	19	causing	cause	VERB
atpp-1025	16	20	new	new	ADJ
atpp-1025	16	21	situations	situation	NOUN
atpp-1025	16	22	and	and	CCONJ
atpp-1025	16	23	possibilities	possibility	NOUN
atpp-1025	16	24	to	to	PART
atpp-1025	16	25	be	be	AUX
atpp-1025	16	26	discovered	discover	VERB
atpp-1025	16	27	.	.	PUNCT
atpp-1025	17	1	inherent	inherent	ADJ
atpp-1025	17	2	in	in	ADP
atpp-1025	17	3	dialogue	dialogue	NOUN
atpp-1025	17	4	is	be	AUX
atpp-1025	17	5	the	the	DET
atpp-1025	17	6	need	need	NOUN
atpp-1025	17	7	for	for	SCONJ
atpp-1025	17	8	each	each	DET
atpp-1025	17	9	participant	participant	NOUN
atpp-1025	17	10	to	to	PART
atpp-1025	17	11	take	take	VERB
atpp-1025	17	12	responsibility	responsibility	NOUN
atpp-1025	17	13	for	for	ADP
atpp-1025	17	14	his	his	PRON
atpp-1025	17	15	/	/	SYM
atpp-1025	17	16	her	her	PRON
atpp-1025	17	17	ability	ability	NOUN
atpp-1025	17	18	to	to	PART
atpp-1025	17	19	influence	influence	VERB
atpp-1025	17	20	the	the	DET
atpp-1025	17	21	outcome	outcome	NOUN
atpp-1025	17	22	(	(	PUNCT
atpp-1025	17	23	burbules	burbule	NOUN
atpp-1025	17	24	,	,	PUNCT
atpp-1025	17	25	1993	1993	NUM
atpp-1025	17	26	;	;	PUNCT
atpp-1025	17	27	fernandez	fernandez	PROPN
atpp-1025	17	28	-	-	PUNCT
atpp-1025	17	29	balboa	balboa	PROPN
atpp-1025	17	30	&	&	CCONJ
atpp-1025	17	31	marshall	marshall	PROPN
atpp-1025	17	32	,	,	PUNCT
atpp-1025	17	33	1994	1994	NUM
atpp-1025	17	34	)	)	PUNCT
atpp-1025	17	35	.	.	PUNCT
atpp-1025	18	1	another	another	DET
atpp-1025	18	2	characteristic	characteristic	NOUN
atpp-1025	18	3	is	be	AUX
atpp-1025	18	4	that	that	SCONJ
atpp-1025	18	5	members	member	NOUN
atpp-1025	18	6	of	of	ADP
atpp-1025	18	7	a	a	DET
atpp-1025	18	8	community	community	NOUN
atpp-1025	18	9	of	of	ADP
atpp-1025	18	10	mathematical	mathematical	ADJ
atpp-1025	18	11	inquiry	inquiry	NOUN
atpp-1025	18	12	work	work	NOUN
atpp-1025	18	13	together	together	ADV
atpp-1025	18	14	in	in	ADP
atpp-1025	18	15	groups	group	NOUN
atpp-1025	18	16	to	to	PART
atpp-1025	18	17	solve	solve	VERB
atpp-1025	18	18	more	more	ADV
atpp-1025	18	19	difficult	difficult	ADJ
atpp-1025	18	20	mathematical	mathematical	ADJ
atpp-1025	18	21	problems	problem	NOUN
atpp-1025	18	22	than	than	SCONJ
atpp-1025	18	23	they	they	PRON
atpp-1025	18	24	could	could	AUX
atpp-1025	18	25	as	as	ADP
atpp-1025	18	26	individuals	individual	NOUN
atpp-1025	18	27	.	.	PUNCT
atpp-1025	19	1	vygotsky	vygotsky	PROPN
atpp-1025	19	2	’s	’s	PART
atpp-1025	19	3	(	(	PUNCT
atpp-1025	19	4	1986	1986	NUM
atpp-1025	19	5	)	)	PUNCT
atpp-1025	19	6	“	"	PUNCT
atpp-1025	19	7	zone	zone	NOUN
atpp-1025	19	8	of	of	ADP
atpp-1025	19	9	proximal	proximal	ADJ
atpp-1025	19	10	development	development	NOUN
atpp-1025	19	11	”	"	PUNCT
atpp-1025	19	12	supports	support	VERB
atpp-1025	19	13	the	the	DET
atpp-1025	19	14	use	use	NOUN
atpp-1025	19	15	of	of	ADP
atpp-1025	19	16	groups	group	NOUN
atpp-1025	19	17	in	in	ADP
atpp-1025	19	18	communities	community	NOUN
atpp-1025	19	19	of	of	ADP
atpp-1025	19	20	inquiry	inquiry	NOUN
atpp-1025	19	21	because	because	SCONJ
atpp-1025	19	22	students	student	NOUN
atpp-1025	19	23	obtain	obtain	VERB
atpp-1025	19	24	assistance	assistance	NOUN
atpp-1025	19	25	.	.	PUNCT
atpp-1025	20	1	if	if	SCONJ
atpp-1025	20	2	vygotsky	vygotsky	PROPN
atpp-1025	20	3	is	be	AUX
atpp-1025	20	4	right	right	ADJ
atpp-1025	20	5	,	,	PUNCT
atpp-1025	20	6	groups	group	NOUN
atpp-1025	20	7	permit	permit	VERB
atpp-1025	20	8	students	student	NOUN
atpp-1025	20	9	to	to	PART
atpp-1025	20	10	solve	solve	VERB
atpp-1025	20	11	general	general	ADJ
atpp-1025	20	12	problems	problem	NOUN
atpp-1025	20	13	that	that	PRON
atpp-1025	20	14	would	would	AUX
atpp-1025	20	15	be	be	AUX
atpp-1025	20	16	out	out	ADP
atpp-1025	20	17	of	of	ADP
atpp-1025	20	18	the	the	DET
atpp-1025	20	19	reach	reach	NOUN
atpp-1025	20	20	of	of	ADP
atpp-1025	20	21	individuals	individual	NOUN
atpp-1025	20	22	.	.	PUNCT
atpp-1025	21	1	for	for	SCONJ
atpp-1025	21	2	students	student	NOUN
atpp-1025	21	3	to	to	PART
atpp-1025	21	4	be	be	AUX
atpp-1025	21	5	in	in	ADP
atpp-1025	21	6	their	their	PRON
atpp-1025	21	7	“	"	PUNCT
atpp-1025	21	8	zone	zone	NOUN
atpp-1025	21	9	of	of	ADP
atpp-1025	21	10	proximal	proximal	ADJ
atpp-1025	21	11	development	development	NOUN
atpp-1025	21	12	”	"	PUNCT
atpp-1025	21	13	during	during	ADP
atpp-1025	21	14	small	small	ADJ
atpp-1025	21	15	groups	group	NOUN
atpp-1025	21	16	,	,	PUNCT
atpp-1025	21	17	they	they	PRON
atpp-1025	21	18	have	have	VERB
atpp-1025	21	19	to	to	PART
atpp-1025	21	20	be	be	AUX
atpp-1025	21	21	focused	focus	VERB
atpp-1025	21	22	on	on	ADP
atpp-1025	21	23	the	the	DET
atpp-1025	21	24	task	task	NOUN
atpp-1025	21	25	at	at	ADP
atpp-1025	21	26	hand	hand	NOUN
atpp-1025	21	27	,	,	PUNCT
atpp-1025	21	28	and	and	CCONJ
atpp-1025	21	29	they	they	PRON
atpp-1025	21	30	have	have	VERB
atpp-1025	21	31	to	to	PART
atpp-1025	21	32	express	express	VERB
atpp-1025	21	33	,	,	PUNCT
atpp-1025	21	34	listen	listen	VERB
atpp-1025	21	35	to	to	ADP
atpp-1025	21	36	,	,	PUNCT
atpp-1025	21	37	defend	defend	VERB
atpp-1025	21	38	,	,	PUNCT
atpp-1025	21	39	and	and	CCONJ
atpp-1025	21	40	evaluate	evaluate	VERB
atpp-1025	21	41	the	the	DET
atpp-1025	21	42	options	option	NOUN
atpp-1025	21	43	created	create	VERB
atpp-1025	21	44	for	for	ADP
atpp-1025	21	45	solving	solve	VERB
atpp-1025	21	46	any	any	DET
atpp-1025	21	47	type	type	NOUN
atpp-1025	21	48	of	of	ADP
atpp-1025	21	49	problem	problem	NOUN
atpp-1025	21	50	(	(	PUNCT
atpp-1025	21	51	schoenfeld	schoenfeld	NOUN
atpp-1025	21	52	,	,	PUNCT
atpp-1025	21	53	1987	1987	NUM
atpp-1025	21	54	)	)	PUNCT
atpp-1025	21	55	.	.	PUNCT
atpp-1025	22	1	one	one	NUM
atpp-1025	22	2	strategy	strategy	NOUN
atpp-1025	22	3	for	for	ADP
atpp-1025	22	4	using	use	VERB
atpp-1025	22	5	groups	group	NOUN
atpp-1025	22	6	to	to	PART
atpp-1025	22	7	solve	solve	VERB
atpp-1025	22	8	mathematical	mathematical	ADJ
atpp-1025	22	9	problems	problem	NOUN
atpp-1025	22	10	reported	report	VERB
atpp-1025	22	11	by	by	ADP
atpp-1025	22	12	empirical	empirical	ADJ
atpp-1025	22	13	studies	study	NOUN
atpp-1025	22	14	is	be	AUX
atpp-1025	22	15	to	to	PART
atpp-1025	22	16	have	have	VERB
atpp-1025	22	17	groups	group	NOUN
atpp-1025	22	18	develop	develop	VERB
atpp-1025	22	19	their	their	PRON
atpp-1025	22	20	processes	process	NOUN
atpp-1025	22	21	and	and	CCONJ
atpp-1025	22	22	then	then	ADV
atpp-1025	22	23	present	present	VERB
atpp-1025	22	24	what	what	PRON
atpp-1025	22	25	they	they	PRON
atpp-1025	22	26	have	have	AUX
atpp-1025	22	27	created	create	VERB
atpp-1025	22	28	to	to	ADP
atpp-1025	22	29	the	the	DET
atpp-1025	22	30	class	class	NOUN
atpp-1025	22	31	for	for	ADP
atpp-1025	22	32	critical	critical	ADJ
atpp-1025	22	33	review	review	NOUN
atpp-1025	22	34	(	(	PUNCT
atpp-1025	22	35	clarke	clarke	PROPN
atpp-1025	22	36	,	,	PUNCT
atpp-1025	22	37	1997	1997	NUM
atpp-1025	22	38	;	;	PUNCT
atpp-1025	22	39	cobb	cobb	PROPN
atpp-1025	22	40	,	,	PUNCT
atpp-1025	22	41	wood	wood	NOUN
atpp-1025	22	42	,	,	PUNCT
atpp-1025	22	43	yackel	yackel	NOUN
atpp-1025	22	44	,	,	PUNCT
atpp-1025	22	45	nicholls	nicholl	NOUN
atpp-1025	22	46	,	,	PUNCT
atpp-1025	22	47	wheatly	wheatly	ADV
atpp-1025	22	48	,	,	PUNCT
atpp-1025	22	49	trigatti	trigatti	PROPN
atpp-1025	22	50	,	,	PUNCT
atpp-1025	22	51	&	&	CCONJ
atpp-1025	22	52	perlwitz	perlwitz	PROPN
atpp-1025	22	53	,	,	PUNCT
atpp-1025	22	54	1991	1991	NUM
atpp-1025	22	55	)	)	PUNCT
atpp-1025	22	56	.	.	PUNCT
atpp-1025	23	1	in	in	ADP
atpp-1025	23	2	fact	fact	NOUN
atpp-1025	23	3	,	,	PUNCT
atpp-1025	23	4	instead	instead	ADV
atpp-1025	23	5	of	of	ADP
atpp-1025	23	6	training	training	NOUN
atpp-1025	23	7	for	for	ADP
atpp-1025	23	8	mastery	mastery	NOUN
atpp-1025	23	9	of	of	ADP
atpp-1025	23	10	mathematical	mathematical	ADJ
atpp-1025	23	11	procedures	procedure	NOUN
atpp-1025	23	12	presented	present	VERB
atpp-1025	23	13	by	by	ADP
atpp-1025	23	14	their	their	PRON
atpp-1025	23	15	teacher	teacher	NOUN
atpp-1025	23	16	,	,	PUNCT
atpp-1025	23	17	in	in	ADP
atpp-1025	23	18	this	this	DET
atpp-1025	23	19	process	process	NOUN
atpp-1025	23	20	students	student	NOUN
atpp-1025	23	21	become	become	VERB
atpp-1025	23	22	apprentices	apprentice	NOUN
atpp-1025	23	23	.	.	PUNCT
atpp-1025	24	1	students	student	NOUN
atpp-1025	24	2	actanalytic	actanalytic	ADJ
atpp-1025	24	3	teaching	teaching	NOUN
atpp-1025	24	4	and	and	CCONJ
atpp-1025	24	5	philosophical	philosophical	ADJ
atpp-1025	24	6	praxis	praxis	ADJ
atpp-1025	24	7	vol	vol	NOUN
atpp-1025	24	8	.	.	PROPN
atpp-1025	24	9	29	29	NUM
atpp-1025	25	1	no.1	no.1	X
atpp-1025	25	2	54	54	NUM
atpp-1025	25	3	ing	ing	NOUN
atpp-1025	25	4	as	as	SCONJ
atpp-1025	25	5	apprentices	apprentice	NOUN
atpp-1025	25	6	take	take	VERB
atpp-1025	25	7	on	on	ADP
atpp-1025	25	8	more	more	ADJ
atpp-1025	25	9	of	of	ADP
atpp-1025	25	10	the	the	DET
atpp-1025	25	11	problem	problem	NOUN
atpp-1025	25	12	-	-	PUNCT
atpp-1025	25	13	solving	solve	VERB
atpp-1025	25	14	role	role	NOUN
atpp-1025	25	15	as	as	SCONJ
atpp-1025	25	16	they	they	PRON
atpp-1025	25	17	gain	gain	VERB
atpp-1025	25	18	experience	experience	NOUN
atpp-1025	25	19	.	.	PUNCT
atpp-1025	26	1	as	as	SCONJ
atpp-1025	26	2	they	they	PRON
atpp-1025	26	3	gain	gain	VERB
atpp-1025	26	4	experience	experience	NOUN
atpp-1025	26	5	under	under	ADP
atpp-1025	26	6	their	their	PRON
atpp-1025	26	7	teacher	teacher	NOUN
atpp-1025	26	8	’s	’s	PART
atpp-1025	26	9	watchful	watchful	ADJ
atpp-1025	26	10	eye	eye	NOUN
atpp-1025	26	11	,	,	PUNCT
atpp-1025	26	12	students	student	NOUN
atpp-1025	26	13	are	be	AUX
atpp-1025	26	14	less	less	ADV
atpp-1025	26	15	likely	likely	ADJ
atpp-1025	26	16	to	to	PART
atpp-1025	26	17	develop	develop	VERB
atpp-1025	26	18	misconceptions	misconception	NOUN
atpp-1025	26	19	about	about	ADP
atpp-1025	26	20	mathematics	mathematic	NOUN
atpp-1025	26	21	.	.	PUNCT
atpp-1025	27	1	students	student	NOUN
atpp-1025	27	2	also	also	ADV
atpp-1025	27	3	benefit	benefit	VERB
atpp-1025	27	4	from	from	ADP
atpp-1025	27	5	another	another	DET
atpp-1025	27	6	aspect	aspect	NOUN
atpp-1025	27	7	of	of	ADP
atpp-1025	27	8	apprenticeship	apprenticeship	NOUN
atpp-1025	27	9	,	,	PUNCT
atpp-1025	27	10	initiation	initiation	NOUN
atpp-1025	27	11	into	into	ADP
atpp-1025	27	12	a	a	DET
atpp-1025	27	13	mathematical	mathematical	ADJ
atpp-1025	27	14	culture	culture	NOUN
atpp-1025	27	15	(	(	PUNCT
atpp-1025	27	16	schoenfeld	schoenfeld	PROPN
atpp-1025	27	17	,	,	PUNCT
atpp-1025	27	18	1987	1987	NUM
atpp-1025	27	19	)	)	PUNCT
atpp-1025	27	20	.	.	PUNCT
atpp-1025	28	1	“	"	PUNCT
atpp-1025	28	2	having	having	AUX
atpp-1025	28	3	experienced	experience	VERB
atpp-1025	28	4	mathematics	mathematic	NOUN
atpp-1025	28	5	in	in	ADP
atpp-1025	28	6	this	this	DET
atpp-1025	28	7	way	way	NOUN
atpp-1025	28	8	,	,	PUNCT
atpp-1025	28	9	students	student	NOUN
atpp-1025	28	10	are	be	AUX
atpp-1025	28	11	more	more	ADV
atpp-1025	28	12	likely	likely	ADJ
atpp-1025	28	13	to	to	PART
atpp-1025	28	14	develop	develop	VERB
atpp-1025	28	15	a	a	DET
atpp-1025	28	16	more	more	ADV
atpp-1025	28	17	accurate	accurate	ADJ
atpp-1025	28	18	view	view	NOUN
atpp-1025	28	19	of	of	ADP
atpp-1025	28	20	what	what	PRON
atpp-1025	28	21	mathematics	mathematic	NOUN
atpp-1025	28	22	is	be	AUX
atpp-1025	28	23	and	and	CCONJ
atpp-1025	28	24	how	how	SCONJ
atpp-1025	28	25	it	it	PRON
atpp-1025	28	26	is	be	AUX
atpp-1025	28	27	done	do	VERB
atpp-1025	28	28	”	"	PUNCT
atpp-1025	28	29	(	(	PUNCT
atpp-1025	28	30	schoenfeld	schoenfeld	PROPN
atpp-1025	28	31	,	,	PUNCT
atpp-1025	28	32	1987	1987	NUM
atpp-1025	28	33	,	,	PUNCT
atpp-1025	28	34	p.	p.	NOUN
atpp-1025	28	35	205	205	NUM
atpp-1025	28	36	)	)	PUNCT
atpp-1025	28	37	.	.	PUNCT
atpp-1025	29	1	one	one	NUM
atpp-1025	29	2	justification	justification	NOUN
atpp-1025	29	3	for	for	ADP
atpp-1025	29	4	adopting	adopt	VERB
atpp-1025	29	5	a	a	DET
atpp-1025	29	6	community	community	NOUN
atpp-1025	29	7	of	of	ADP
atpp-1025	29	8	inquiry	inquiry	NOUN
atpp-1025	29	9	approach	approach	NOUN
atpp-1025	29	10	put	put	VERB
atpp-1025	29	11	forth	forth	ADV
atpp-1025	29	12	by	by	ADP
atpp-1025	29	13	splitter	splitter	NOUN
atpp-1025	29	14	and	and	CCONJ
atpp-1025	29	15	sharp	sharp	ADJ
atpp-1025	29	16	(	(	PUNCT
atpp-1025	29	17	1995	1995	NUM
atpp-1025	29	18	)	)	PUNCT
atpp-1025	29	19	is	be	AUX
atpp-1025	29	20	that	that	SCONJ
atpp-1025	29	21	it	it	PRON
atpp-1025	29	22	encourages	encourage	VERB
atpp-1025	29	23	students	student	NOUN
atpp-1025	29	24	to	to	PART
atpp-1025	29	25	think	think	VERB
atpp-1025	29	26	like	like	ADP
atpp-1025	29	27	mathematicians	mathematician	NOUN
atpp-1025	29	28	or	or	CCONJ
atpp-1025	29	29	for	for	SCONJ
atpp-1025	29	30	students	student	NOUN
atpp-1025	29	31	to	to	PART
atpp-1025	29	32	learn	learn	VERB
atpp-1025	29	33	to	to	PART
atpp-1025	29	34	create	create	VERB
atpp-1025	29	35	mathematics	mathematic	NOUN
atpp-1025	29	36	the	the	DET
atpp-1025	29	37	way	way	NOUN
atpp-1025	29	38	mathematicians	mathematician	NOUN
atpp-1025	29	39	do	do	VERB
atpp-1025	29	40	.	.	PUNCT
atpp-1025	30	1	the	the	DET
atpp-1025	30	2	third	third	ADJ
atpp-1025	30	3	characteristic	characteristic	NOUN
atpp-1025	30	4	of	of	ADP
atpp-1025	30	5	a	a	DET
atpp-1025	30	6	community	community	NOUN
atpp-1025	30	7	of	of	ADP
atpp-1025	30	8	mathematical	mathematical	ADJ
atpp-1025	30	9	inquiry	inquiry	NOUN
atpp-1025	30	10	is	be	AUX
atpp-1025	30	11	self	self	NOUN
atpp-1025	30	12	-	-	PUNCT
atpp-1025	30	13	correction	correction	NOUN
atpp-1025	30	14	;	;	PUNCT
atpp-1025	30	15	as	as	SCONJ
atpp-1025	30	16	students	student	NOUN
atpp-1025	30	17	check	check	VERB
atpp-1025	30	18	their	their	PRON
atpp-1025	30	19	solutions	solution	NOUN
atpp-1025	30	20	they	they	PRON
atpp-1025	30	21	often	often	ADV
atpp-1025	30	22	correct	correct	VERB
atpp-1025	30	23	mistakes	mistake	NOUN
atpp-1025	30	24	.	.	PUNCT
atpp-1025	31	1	in	in	ADP
atpp-1025	31	2	mathematics	mathematic	NOUN
atpp-1025	31	3	,	,	PUNCT
atpp-1025	31	4	students	student	NOUN
atpp-1025	31	5	typically	typically	ADV
atpp-1025	31	6	are	be	AUX
atpp-1025	31	7	not	not	PART
atpp-1025	31	8	asked	ask	VERB
atpp-1025	31	9	to	to	PART
atpp-1025	31	10	listen	listen	VERB
atpp-1025	31	11	to	to	ADP
atpp-1025	31	12	explanations	explanation	NOUN
atpp-1025	31	13	by	by	ADP
atpp-1025	31	14	other	other	ADJ
atpp-1025	31	15	students	student	NOUN
atpp-1025	31	16	to	to	PART
atpp-1025	31	17	determine	determine	VERB
atpp-1025	31	18	which	which	DET
atpp-1025	31	19	ideas	idea	NOUN
atpp-1025	31	20	make	make	VERB
atpp-1025	31	21	the	the	DET
atpp-1025	31	22	best	good	ADJ
atpp-1025	31	23	sense	sense	NOUN
atpp-1025	31	24	;	;	PUNCT
atpp-1025	31	25	they	they	PRON
atpp-1025	31	26	are	be	AUX
atpp-1025	31	27	given	give	VERB
atpp-1025	31	28	what	what	PRON
atpp-1025	31	29	the	the	DET
atpp-1025	31	30	teacher	teacher	NOUN
atpp-1025	31	31	thinks	think	VERB
atpp-1025	31	32	is	be	AUX
atpp-1025	31	33	the	the	DET
atpp-1025	31	34	best	good	ADJ
atpp-1025	31	35	way	way	NOUN
atpp-1025	31	36	to	to	PART
atpp-1025	31	37	solve	solve	VERB
atpp-1025	31	38	a	a	DET
atpp-1025	31	39	mathematical	mathematical	ADJ
atpp-1025	31	40	problem	problem	NOUN
atpp-1025	31	41	.	.	PUNCT
atpp-1025	32	1	when	when	SCONJ
atpp-1025	32	2	students	student	NOUN
atpp-1025	32	3	begin	begin	VERB
atpp-1025	32	4	to	to	PART
atpp-1025	32	5	negotiate	negotiate	VERB
atpp-1025	32	6	their	their	PRON
atpp-1025	32	7	own	own	ADJ
atpp-1025	32	8	mathematical	mathematical	ADJ
atpp-1025	32	9	meaning	meaning	NOUN
atpp-1025	32	10	within	within	ADP
atpp-1025	32	11	the	the	DET
atpp-1025	32	12	community	community	NOUN
atpp-1025	32	13	,	,	PUNCT
atpp-1025	32	14	they	they	PRON
atpp-1025	32	15	must	must	AUX
atpp-1025	32	16	decide	decide	VERB
atpp-1025	32	17	whether	whether	SCONJ
atpp-1025	32	18	a	a	DET
atpp-1025	32	19	given	give	VERB
atpp-1025	32	20	explanation	explanation	NOUN
atpp-1025	32	21	is	be	AUX
atpp-1025	32	22	good	good	ADJ
atpp-1025	32	23	enough	enough	ADV
atpp-1025	32	24	to	to	PART
atpp-1025	32	25	change	change	VERB
atpp-1025	32	26	their	their	PRON
atpp-1025	32	27	minds	mind	NOUN
atpp-1025	32	28	.	.	PUNCT
atpp-1025	33	1	when	when	SCONJ
atpp-1025	33	2	a	a	DET
atpp-1025	33	3	conflict	conflict	NOUN
atpp-1025	33	4	between	between	ADP
atpp-1025	33	5	ideas	idea	NOUN
atpp-1025	33	6	is	be	AUX
atpp-1025	33	7	resolved	resolve	VERB
atpp-1025	33	8	through	through	ADP
atpp-1025	33	9	communal	communal	ADJ
atpp-1025	33	10	dialogue	dialogue	NOUN
atpp-1025	33	11	,	,	PUNCT
atpp-1025	33	12	a	a	DET
atpp-1025	33	13	self	self	NOUN
atpp-1025	33	14	-	-	PUNCT
atpp-1025	33	15	correction	correction	NOUN
atpp-1025	33	16	occurs	occur	VERB
atpp-1025	33	17	within	within	ADP
atpp-1025	33	18	the	the	DET
atpp-1025	33	19	community	community	NOUN
atpp-1025	33	20	.	.	PUNCT
atpp-1025	34	1	on	on	ADP
atpp-1025	34	2	the	the	DET
atpp-1025	34	3	constructivist	constructivist	ADJ
atpp-1025	34	4	model	model	NOUN
atpp-1025	34	5	,	,	PUNCT
atpp-1025	34	6	authentic	authentic	ADJ
atpp-1025	34	7	learning	learning	NOUN
atpp-1025	34	8	is	be	AUX
atpp-1025	34	9	self	self	NOUN
atpp-1025	34	10	-	-	PUNCT
atpp-1025	34	11	correction	correction	NOUN
atpp-1025	34	12	–	–	PUNCT
atpp-1025	34	13	the	the	DET
atpp-1025	34	14	deliberate	deliberate	ADJ
atpp-1025	34	15	,	,	PUNCT
atpp-1025	34	16	intelligent	intelligent	ADJ
atpp-1025	34	17	reconstruction	reconstruction	NOUN
atpp-1025	34	18	of	of	ADP
atpp-1025	34	19	one	one	NUM
atpp-1025	34	20	’s	’s	PART
atpp-1025	34	21	habits	habit	NOUN
atpp-1025	34	22	of	of	ADP
atpp-1025	34	23	thoughts	thought	NOUN
atpp-1025	34	24	,	,	PUNCT
atpp-1025	34	25	feeling	feeling	NOUN
atpp-1025	34	26	and	and	CCONJ
atpp-1025	34	27	action	action	NOUN
atpp-1025	34	28	in	in	ADP
atpp-1025	34	29	order	order	NOUN
atpp-1025	34	30	to	to	PART
atpp-1025	34	31	meliorate	meliorate	VERB
atpp-1025	34	32	some	some	DET
atpp-1025	34	33	aspect	aspect	NOUN
atpp-1025	34	34	of	of	ADP
atpp-1025	34	35	one	one	NUM
atpp-1025	34	36	’s	’s	PART
atpp-1025	34	37	experience	experience	NOUN
atpp-1025	34	38	.	.	PUNCT
atpp-1025	35	1	self	self	NOUN
atpp-1025	35	2	-	-	PUNCT
atpp-1025	35	3	correction	correction	NOUN
atpp-1025	35	4	further	far	ADV
atpp-1025	35	5	requires	require	VERB
atpp-1025	35	6	self	self	NOUN
atpp-1025	35	7	-	-	PUNCT
atpp-1025	35	8	verification	verification	NOUN
atpp-1025	35	9	:	:	PUNCT
atpp-1025	35	10	that	that	SCONJ
atpp-1025	35	11	a	a	DET
atpp-1025	35	12	student	student	NOUN
atpp-1025	35	13	verify	verify	VERB
atpp-1025	35	14	new	new	ADJ
atpp-1025	35	15	knowledge	knowledge	NOUN
atpp-1025	35	16	to	to	ADP
atpp-1025	35	17	herself	herself	PRON
atpp-1025	35	18	(	(	PUNCT
atpp-1025	35	19	gregory	gregory	PROPN
atpp-1025	35	20	,	,	PUNCT
atpp-1025	35	21	2002	2002	NUM
atpp-1025	35	22	,	,	PUNCT
atpp-1025	35	23	p.	p.	NOUN
atpp-1025	35	24	400	400	NUM
atpp-1025	35	25	)	)	PUNCT
atpp-1025	35	26	.	.	PUNCT
atpp-1025	36	1	students	student	NOUN
atpp-1025	36	2	begin	begin	VERB
atpp-1025	36	3	to	to	PART
atpp-1025	36	4	internalize	internalize	VERB
atpp-1025	36	5	standards	standard	NOUN
atpp-1025	36	6	of	of	ADP
atpp-1025	36	7	mathematical	mathematical	ADJ
atpp-1025	36	8	judgment	judgment	NOUN
atpp-1025	36	9	modeled	model	VERB
atpp-1025	36	10	by	by	ADP
atpp-1025	36	11	the	the	DET
atpp-1025	36	12	teacher	teacher	NOUN
atpp-1025	36	13	,	,	PUNCT
atpp-1025	36	14	so	so	ADV
atpp-1025	36	15	they	they	PRON
atpp-1025	36	16	have	have	VERB
atpp-1025	36	17	criteria	criterion	NOUN
atpp-1025	36	18	to	to	PART
atpp-1025	36	19	gauge	gauge	VERB
atpp-1025	36	20	correctness	correctness	NOUN
atpp-1025	36	21	of	of	ADP
atpp-1025	36	22	arguments	argument	NOUN
atpp-1025	36	23	and	and	CCONJ
atpp-1025	36	24	solutions	solution	NOUN
atpp-1025	36	25	(	(	PUNCT
atpp-1025	36	26	schoenfeld	schoenfeld	PROPN
atpp-1025	36	27	,	,	PUNCT
atpp-1025	36	28	1987	1987	NUM
atpp-1025	36	29	,	,	PUNCT
atpp-1025	36	30	1996	1996	NUM
atpp-1025	36	31	)	)	PUNCT
atpp-1025	36	32	.	.	PUNCT
atpp-1025	37	1	the	the	DET
atpp-1025	37	2	fourth	fourth	ADJ
atpp-1025	37	3	crucial	crucial	ADJ
atpp-1025	37	4	characteristic	characteristic	NOUN
atpp-1025	37	5	of	of	ADP
atpp-1025	37	6	a	a	DET
atpp-1025	37	7	community	community	NOUN
atpp-1025	37	8	of	of	ADP
atpp-1025	37	9	mathematical	mathematical	ADJ
atpp-1025	37	10	inquiry	inquiry	NOUN
atpp-1025	37	11	is	be	AUX
atpp-1025	37	12	that	that	SCONJ
atpp-1025	37	13	community	community	NOUN
atpp-1025	37	14	members	member	NOUN
atpp-1025	37	15	take	take	VERB
atpp-1025	37	16	risks	risk	NOUN
atpp-1025	37	17	.	.	PUNCT
atpp-1025	38	1	in	in	ADP
atpp-1025	38	2	this	this	DET
atpp-1025	38	3	process	process	NOUN
atpp-1025	38	4	,	,	PUNCT
atpp-1025	38	5	criticism	criticism	NOUN
atpp-1025	38	6	and	and	CCONJ
atpp-1025	38	7	attacks	attack	NOUN
atpp-1025	38	8	can	can	AUX
atpp-1025	38	9	be	be	AUX
atpp-1025	38	10	made	make	VERB
atpp-1025	38	11	on	on	ADP
atpp-1025	38	12	ideas	idea	NOUN
atpp-1025	38	13	,	,	PUNCT
atpp-1025	38	14	but	but	CCONJ
atpp-1025	38	15	are	be	AUX
atpp-1025	38	16	not	not	PART
atpp-1025	38	17	acceptable	acceptable	ADJ
atpp-1025	38	18	on	on	ADP
atpp-1025	38	19	the	the	DET
atpp-1025	38	20	personal	personal	ADJ
atpp-1025	38	21	level	level	NOUN
atpp-1025	38	22	.	.	PUNCT
atpp-1025	39	1	on	on	ADP
atpp-1025	39	2	this	this	DET
atpp-1025	39	3	point	point	NOUN
atpp-1025	39	4	students	student	NOUN
atpp-1025	39	5	need	need	VERB
atpp-1025	39	6	practice	practice	NOUN
atpp-1025	39	7	in	in	ADP
atpp-1025	39	8	not	not	PART
atpp-1025	39	9	attaching	attach	VERB
atpp-1025	39	10	their	their	PRON
atpp-1025	39	11	personal	personal	ADJ
atpp-1025	39	12	worth	worth	NOUN
atpp-1025	39	13	to	to	ADP
atpp-1025	39	14	the	the	DET
atpp-1025	39	15	acceptance	acceptance	NOUN
atpp-1025	39	16	of	of	ADP
atpp-1025	39	17	“	"	PUNCT
atpp-1025	39	18	their	their	PRON
atpp-1025	39	19	”	"	PUNCT
atpp-1025	39	20	idea	idea	NOUN
atpp-1025	39	21	.	.	PUNCT
atpp-1025	40	1	robertson	robertson	PROPN
atpp-1025	40	2	(	(	PUNCT
atpp-1025	40	3	1999	1999	NUM
atpp-1025	40	4	)	)	PUNCT
atpp-1025	40	5	points	point	VERB
atpp-1025	40	6	out	out	ADP
atpp-1025	40	7	that	that	SCONJ
atpp-1025	40	8	all	all	DET
atpp-1025	40	9	members	member	NOUN
atpp-1025	40	10	of	of	ADP
atpp-1025	40	11	the	the	DET
atpp-1025	40	12	community	community	NOUN
atpp-1025	40	13	must	must	AUX
atpp-1025	40	14	entertain	entertain	VERB
atpp-1025	40	15	the	the	DET
atpp-1025	40	16	“	"	PUNCT
atpp-1025	40	17	possibility	possibility	NOUN
atpp-1025	40	18	of	of	ADP
atpp-1025	40	19	being	be	AUX
atpp-1025	40	20	obligated	obligate	VERB
atpp-1025	40	21	to	to	PART
atpp-1025	40	22	lose	lose	VERB
atpp-1025	40	23	”	"	PUNCT
atpp-1025	40	24	(	(	PUNCT
atpp-1025	40	25	p.	p.	NOUN
atpp-1025	40	26	5	5	NUM
atpp-1025	40	27	)	)	PUNCT
atpp-1025	40	28	.	.	PUNCT
atpp-1025	41	1	members	member	NOUN
atpp-1025	41	2	of	of	ADP
atpp-1025	41	3	the	the	DET
atpp-1025	41	4	community	community	NOUN
atpp-1025	41	5	need	need	VERB
atpp-1025	41	6	to	to	PART
atpp-1025	41	7	abide	abide	VERB
atpp-1025	41	8	by	by	ADP
atpp-1025	41	9	the	the	DET
atpp-1025	41	10	idea	idea	NOUN
atpp-1025	41	11	that	that	SCONJ
atpp-1025	41	12	the	the	DET
atpp-1025	41	13	explanation	explanation	NOUN
atpp-1025	41	14	making	make	VERB
atpp-1025	41	15	the	the	DET
atpp-1025	41	16	best	good	ADJ
atpp-1025	41	17	sense	sense	NOUN
atpp-1025	41	18	is	be	AUX
atpp-1025	41	19	the	the	DET
atpp-1025	41	20	one	one	NUM
atpp-1025	41	21	accepted	accept	VERB
atpp-1025	41	22	.	.	PUNCT
atpp-1025	42	1	as	as	ADP
atpp-1025	42	2	schoenfeld	schoenfeld	PROPN
atpp-1025	42	3	(	(	PUNCT
atpp-1025	42	4	1996	1996	NUM
atpp-1025	42	5	)	)	PUNCT
atpp-1025	42	6	states	state	NOUN
atpp-1025	42	7	,	,	PUNCT
atpp-1025	42	8	“	"	PUNCT
atpp-1025	42	9	there	there	PRON
atpp-1025	42	10	is	be	VERB
atpp-1025	42	11	a	a	DET
atpp-1025	42	12	feeling	feeling	NOUN
atpp-1025	42	13	of	of	ADP
atpp-1025	42	14	trust	trust	NOUN
atpp-1025	42	15	,	,	PUNCT
atpp-1025	42	16	in	in	SCONJ
atpp-1025	42	17	that	that	SCONJ
atpp-1025	42	18	we	we	PRON
atpp-1025	42	19	must	must	AUX
atpp-1025	42	20	feel	feel	VERB
atpp-1025	42	21	free	free	ADJ
atpp-1025	42	22	to	to	PART
atpp-1025	42	23	have	have	VERB
atpp-1025	42	24	our	our	PRON
atpp-1025	42	25	ideas	idea	NOUN
atpp-1025	42	26	(	(	PUNCT
atpp-1025	42	27	and	and	CCONJ
atpp-1025	42	28	not	not	PART
atpp-1025	42	29	ourselves	ourselves	PRON
atpp-1025	42	30	)	)	PUNCT
atpp-1025	42	31	compete	compete	NOUN
atpp-1025	42	32	.	.	PUNCT
atpp-1025	42	33	”	"	PUNCT
atpp-1025	43	1	(	(	PUNCT
atpp-1025	43	2	p.16	p.16	PROPN
atpp-1025	43	3	)	)	PUNCT
atpp-1025	43	4	.	.	PUNCT
atpp-1025	44	1	students	student	NOUN
atpp-1025	44	2	free	free	ADJ
atpp-1025	44	3	from	from	ADP
atpp-1025	44	4	personal	personal	ADJ
atpp-1025	44	5	assessment	assessment	NOUN
atpp-1025	44	6	by	by	ADP
atpp-1025	44	7	the	the	DET
atpp-1025	44	8	community	community	NOUN
atpp-1025	44	9	are	be	AUX
atpp-1025	44	10	more	more	ADV
atpp-1025	44	11	likely	likely	ADJ
atpp-1025	44	12	to	to	PART
atpp-1025	44	13	take	take	VERB
atpp-1025	44	14	risks	risk	NOUN
atpp-1025	44	15	when	when	SCONJ
atpp-1025	44	16	proposing	propose	VERB
atpp-1025	44	17	assertions	assertion	NOUN
atpp-1025	44	18	.	.	PUNCT
atpp-1025	45	1	polya	polya	INTJ
atpp-1025	45	2	(	(	PUNCT
atpp-1025	45	3	1954	1954	NUM
atpp-1025	45	4	)	)	PUNCT
atpp-1025	45	5	asserts	assert	VERB
atpp-1025	45	6	three	three	NUM
atpp-1025	45	7	“	"	PUNCT
atpp-1025	45	8	moral	moral	ADJ
atpp-1025	45	9	qualities	quality	NOUN
atpp-1025	45	10	”	"	PUNCT
atpp-1025	45	11	a	a	DET
atpp-1025	45	12	person	person	NOUN
atpp-1025	45	13	needs	need	VERB
atpp-1025	45	14	to	to	PART
atpp-1025	45	15	do	do	VERB
atpp-1025	45	16	mathematics	mathematic	NOUN
atpp-1025	45	17	that	that	PRON
atpp-1025	45	18	also	also	ADV
atpp-1025	45	19	pertain	pertain	VERB
atpp-1025	45	20	to	to	ADP
atpp-1025	45	21	taking	take	VERB
atpp-1025	45	22	risks	risk	NOUN
atpp-1025	45	23	:	:	PUNCT
atpp-1025	45	24	intellectual	intellectual	ADJ
atpp-1025	45	25	courage	courage	NOUN
atpp-1025	45	26	:	:	PUNCT
atpp-1025	45	27	we	we	PRON
atpp-1025	45	28	should	should	AUX
atpp-1025	45	29	be	be	AUX
atpp-1025	45	30	ready	ready	ADJ
atpp-1025	45	31	to	to	PART
atpp-1025	45	32	revise	revise	VERB
atpp-1025	45	33	any	any	DET
atpp-1025	45	34	one	one	NUM
atpp-1025	45	35	of	of	ADP
atpp-1025	45	36	our	our	PRON
atpp-1025	45	37	beliefs	belief	NOUN
atpp-1025	45	38	.	.	PUNCT
atpp-1025	46	1	intellectual	intellectual	ADJ
atpp-1025	46	2	honesty	honesty	NOUN
atpp-1025	46	3	:	:	PUNCT
atpp-1025	46	4	we	we	PRON
atpp-1025	46	5	should	should	AUX
atpp-1025	46	6	change	change	VERB
atpp-1025	46	7	a	a	DET
atpp-1025	46	8	belief	belief	NOUN
atpp-1025	46	9	when	when	SCONJ
atpp-1025	46	10	there	there	PRON
atpp-1025	46	11	is	be	VERB
atpp-1025	46	12	a	a	DET
atpp-1025	46	13	good	good	ADJ
atpp-1025	46	14	reason	reason	NOUN
atpp-1025	46	15	to	to	PART
atpp-1025	46	16	change	change	VERB
atpp-1025	46	17	it	it	PRON
atpp-1025	46	18	…	…	PUNCT
atpp-1025	46	19	wise	wise	ADJ
atpp-1025	46	20	restraint	restraint	NOUN
atpp-1025	46	21	:	:	PUNCT
atpp-1025	46	22	we	we	PRON
atpp-1025	46	23	should	should	AUX
atpp-1025	46	24	not	not	PART
atpp-1025	46	25	change	change	VERB
atpp-1025	46	26	a	a	DET
atpp-1025	46	27	belief	belief	NOUN
atpp-1025	46	28	wantonly	wantonly	ADV
atpp-1025	46	29	,	,	PUNCT
atpp-1025	46	30	without	without	ADP
atpp-1025	46	31	some	some	DET
atpp-1025	46	32	good	good	ADJ
atpp-1025	46	33	reason	reason	NOUN
atpp-1025	46	34	,	,	PUNCT
atpp-1025	46	35	without	without	ADP
atpp-1025	46	36	serious	serious	ADJ
atpp-1025	46	37	examination	examination	NOUN
atpp-1025	46	38	(	(	PUNCT
atpp-1025	46	39	pp	pp	ADJ
atpp-1025	46	40	.	.	PUNCT
atpp-1025	47	1	7	7	NUM
atpp-1025	47	2	-	-	SYM
atpp-1025	47	3	8)	8)	NUM
atpp-1025	47	4	.	.	PUNCT
atpp-1025	48	1	the	the	DET
atpp-1025	48	2	fifth	fifth	ADJ
atpp-1025	48	3	characteristic	characteristic	NOUN
atpp-1025	48	4	of	of	ADP
atpp-1025	48	5	a	a	DET
atpp-1025	48	6	community	community	NOUN
atpp-1025	48	7	of	of	ADP
atpp-1025	48	8	mathematical	mathematical	ADJ
atpp-1025	48	9	inquiry	inquiry	NOUN
atpp-1025	48	10	is	be	AUX
atpp-1025	48	11	that	that	SCONJ
atpp-1025	48	12	students	student	NOUN
atpp-1025	48	13	consider	consider	VERB
atpp-1025	48	14	,	,	PUNCT
atpp-1025	48	15	propose	propose	VERB
atpp-1025	48	16	,	,	PUNCT
atpp-1025	48	17	and	and	CCONJ
atpp-1025	48	18	build	build	VERB
atpp-1025	48	19	on	on	ADP
atpp-1025	48	20	alternate	alternate	ADJ
atpp-1025	48	21	approaches	approach	NOUN
atpp-1025	48	22	to	to	ADP
atpp-1025	48	23	problem	problem	NOUN
atpp-1025	48	24	solving	solve	VERB
atpp-1025	48	25	.	.	PUNCT
atpp-1025	49	1	a	a	DET
atpp-1025	49	2	common	common	ADJ
atpp-1025	49	3	,	,	PUNCT
atpp-1025	49	4	general	general	ADJ
atpp-1025	49	5	problem	problem	NOUN
atpp-1025	49	6	-	-	PUNCT
atpp-1025	49	7	solving	solve	VERB
atpp-1025	49	8	strategy	strategy	NOUN
atpp-1025	49	9	is	be	AUX
atpp-1025	49	10	to	to	PART
atpp-1025	49	11	list	list	VERB
atpp-1025	49	12	several	several	ADJ
atpp-1025	49	13	methods	method	NOUN
atpp-1025	49	14	that	that	PRON
atpp-1025	49	15	might	might	AUX
atpp-1025	49	16	result	result	VERB
atpp-1025	49	17	in	in	ADP
atpp-1025	49	18	a	a	DET
atpp-1025	49	19	solution	solution	NOUN
atpp-1025	49	20	.	.	PUNCT
atpp-1025	50	1	when	when	SCONJ
atpp-1025	50	2	a	a	DET
atpp-1025	50	3	process	process	NOUN
atpp-1025	50	4	is	be	AUX
atpp-1025	50	5	successful	successful	ADJ
atpp-1025	50	6	,	,	PUNCT
atpp-1025	50	7	students	student	NOUN
atpp-1025	50	8	should	should	AUX
atpp-1025	50	9	not	not	PART
atpp-1025	50	10	decide	decide	VERB
atpp-1025	50	11	inquiry	inquiry	NOUN
atpp-1025	50	12	is	be	AUX
atpp-1025	50	13	finished	finish	VERB
atpp-1025	50	14	.	.	PUNCT
atpp-1025	51	1	other	other	ADJ
atpp-1025	51	2	ideas	idea	NOUN
atpp-1025	51	3	might	might	AUX
atpp-1025	51	4	lead	lead	VERB
atpp-1025	51	5	to	to	ADP
atpp-1025	51	6	better	well	ADJ
atpp-1025	51	7	insights	insight	NOUN
atpp-1025	51	8	,	,	PUNCT
atpp-1025	51	9	additional	additional	ADJ
atpp-1025	51	10	knowledge	knowledge	NOUN
atpp-1025	51	11	,	,	PUNCT
atpp-1025	51	12	or	or	CCONJ
atpp-1025	51	13	other	other	ADJ
atpp-1025	51	14	areas	area	NOUN
atpp-1025	51	15	of	of	ADP
atpp-1025	51	16	study	study	NOUN
atpp-1025	51	17	(	(	PUNCT
atpp-1025	51	18	lampert	lampert	PROPN
atpp-1025	51	19	,	,	PUNCT
atpp-1025	51	20	1990	1990	NUM
atpp-1025	51	21	)	)	PUNCT
atpp-1025	51	22	.	.	PUNCT
atpp-1025	52	1	self	self	NOUN
atpp-1025	52	2	-	-	PUNCT
atpp-1025	52	3	correction	correction	NOUN
atpp-1025	52	4	eliminates	eliminate	VERB
atpp-1025	52	5	some	some	DET
atpp-1025	52	6	alternate	alternate	ADJ
atpp-1025	52	7	approaches	approach	NOUN
atpp-1025	52	8	to	to	ADP
atpp-1025	52	9	problem	problem	NOUN
atpp-1025	52	10	solving	solve	VERB
atpp-1025	52	11	as	as	ADP
atpp-1025	52	12	unfeasible	unfeasible	ADJ
atpp-1025	52	13	,	,	PUNCT
atpp-1025	52	14	but	but	CCONJ
atpp-1025	52	15	open	open	ADJ
atpp-1025	52	16	inquiry	inquiry	NOUN
atpp-1025	52	17	requires	require	VERB
atpp-1025	52	18	investigating	investigate	VERB
atpp-1025	52	19	all	all	DET
atpp-1025	52	20	ideas	idea	NOUN
atpp-1025	52	21	within	within	ADP
atpp-1025	52	22	the	the	DET
atpp-1025	52	23	constraints	constraint	NOUN
atpp-1025	52	24	of	of	ADP
atpp-1025	52	25	the	the	DET
atpp-1025	52	26	initial	initial	ADJ
atpp-1025	52	27	problem	problem	NOUN
atpp-1025	52	28	.	.	PUNCT
atpp-1025	53	1	cobb	cobb	PROPN
atpp-1025	53	2	,	,	PUNCT
atpp-1025	53	3	wood	wood	NOUN
atpp-1025	53	4	,	,	PUNCT
atpp-1025	53	5	and	and	CCONJ
atpp-1025	53	6	yackel	yackel	NOUN
atpp-1025	53	7	(	(	PUNCT
atpp-1025	53	8	1992	1992	NUM
atpp-1025	53	9	)	)	PUNCT
atpp-1025	53	10	offer	offer	VERB
atpp-1025	53	11	some	some	DET
atpp-1025	53	12	guidance	guidance	NOUN
atpp-1025	53	13	:	:	PUNCT
atpp-1025	53	14	“	"	PUNCT
atpp-1025	53	15	the	the	DET
atpp-1025	53	16	teacher	teacher	NOUN
atpp-1025	53	17	might	might	AUX
atpp-1025	53	18	frame	frame	VERB
atpp-1025	53	19	conflicting	conflicting	ADJ
atpp-1025	53	20	interpretations	interpretation	NOUN
atpp-1025	53	21	or	or	CCONJ
atpp-1025	53	22	solutions	solution	NOUN
atpp-1025	53	23	as	as	ADP
atpp-1025	53	24	a	a	DET
atpp-1025	53	25	topic	topic	NOUN
atpp-1025	53	26	for	for	ADP
atpp-1025	53	27	discussion	discussion	NOUN
atpp-1025	53	28	,	,	PUNCT
atpp-1025	53	29	thus	thus	ADV
atpp-1025	53	30	encouraging	encourage	VERB
atpp-1025	53	31	students	student	NOUN
atpp-1025	53	32	to	to	PART
atpp-1025	53	33	explicitly	explicitly	ADV
atpp-1025	53	34	negotiate	negotiate	VERB
atpp-1025	53	35	mathematical	mathematical	ADJ
atpp-1025	53	36	meanings	meaning	NOUN
atpp-1025	53	37	by	by	ADP
atpp-1025	53	38	engaging	engage	VERB
atpp-1025	53	39	in	in	ADP
atpp-1025	53	40	mathematical	mathematical	ADJ
atpp-1025	53	41	argumentation	argumentation	NOUN
atpp-1025	53	42	”	"	PUNCT
atpp-1025	53	43	(	(	PUNCT
atpp-1025	53	44	p.	p.	NOUN
atpp-1025	53	45	11	11	NUM
atpp-1025	53	46	)	)	PUNCT
atpp-1025	53	47	.	.	PUNCT
atpp-1025	54	1	members	member	NOUN
atpp-1025	54	2	of	of	ADP
atpp-1025	54	3	a	a	DET
atpp-1025	54	4	community	community	NOUN
atpp-1025	54	5	of	of	ADP
atpp-1025	54	6	mathematical	mathematical	ADJ
atpp-1025	54	7	inquiry	inquiry	NOUN
atpp-1025	54	8	should	should	AUX
atpp-1025	54	9	be	be	AUX
atpp-1025	54	10	able	able	ADJ
atpp-1025	54	11	to	to	PART
atpp-1025	54	12	provide	provide	VERB
atpp-1025	54	13	justification	justification	NOUN
atpp-1025	54	14	for	for	ADP
atpp-1025	54	15	each	each	DET
atpp-1025	54	16	step	step	NOUN
atpp-1025	54	17	taken	take	VERB
atpp-1025	54	18	in	in	ADP
atpp-1025	54	19	the	the	DET
atpp-1025	54	20	solution	solution	NOUN
atpp-1025	54	21	process	process	NOUN
atpp-1025	54	22	.	.	PUNCT
atpp-1025	55	1	reasons	reason	NOUN
atpp-1025	55	2	need	need	VERB
atpp-1025	55	3	to	to	PART
atpp-1025	55	4	be	be	AUX
atpp-1025	55	5	given	give	VERB
atpp-1025	55	6	by	by	ADP
atpp-1025	55	7	a	a	DET
atpp-1025	55	8	student	student	NOUN
atpp-1025	55	9	to	to	ADP
atpp-1025	55	10	the	the	DET
atpp-1025	55	11	community	community	NOUN
atpp-1025	55	12	for	for	ADP
atpp-1025	55	13	accepting	accept	VERB
atpp-1025	55	14	or	or	CCONJ
atpp-1025	55	15	rejecting	reject	VERB
atpp-1025	55	16	a	a	DET
atpp-1025	55	17	claim	claim	NOUN
atpp-1025	55	18	.	.	PUNCT
atpp-1025	56	1	mason	mason	PROPN
atpp-1025	56	2	presents	present	VERB
atpp-1025	56	3	an	an	DET
atpp-1025	56	4	outline	outline	NOUN
atpp-1025	56	5	for	for	ADP
atpp-1025	56	6	justifying	justify	VERB
atpp-1025	56	7	mathematical	mathematical	ADJ
atpp-1025	56	8	arguments	argument	NOUN
atpp-1025	56	9	:	:	PUNCT
atpp-1025	56	10	first	first	ADV
atpp-1025	56	11	convince	convince	VERB
atpp-1025	56	12	yourself	yourself	PRON
atpp-1025	56	13	.	.	PUNCT
atpp-1025	57	1	then	then	ADV
atpp-1025	57	2	convince	convince	VERB
atpp-1025	57	3	a	a	DET
atpp-1025	57	4	friend	friend	NOUN
atpp-1025	57	5	.	.	PUNCT
atpp-1025	58	1	finally	finally	ADV
atpp-1025	58	2	convince	convince	VERB
atpp-1025	58	3	an	an	DET
atpp-1025	58	4	enemy	enemy	NOUN
atpp-1025	58	5	(	(	PUNCT
atpp-1025	58	6	mason	mason	PROPN
atpp-1025	58	7	,	,	PUNCT
atpp-1025	58	8	burton	burton	PROPN
atpp-1025	58	9	,	,	PUNCT
atpp-1025	58	10	&	&	CCONJ
atpp-1025	58	11	stacey	stacey	PROPN
atpp-1025	58	12	,	,	PUNCT
atpp-1025	58	13	1984	1984	NUM
atpp-1025	58	14	)	)	PUNCT
atpp-1025	58	15	.	.	PUNCT
atpp-1025	59	1	“	"	PUNCT
atpp-1025	59	2	if	if	SCONJ
atpp-1025	59	3	the	the	DET
atpp-1025	59	4	teacher	teacher	NOUN
atpp-1025	59	5	’s	’s	PART
atpp-1025	59	6	guide	guide	NOUN
atpp-1025	59	7	is	be	AUX
atpp-1025	59	8	the	the	DET
atpp-1025	59	9	source	source	NOUN
atpp-1025	59	10	of	of	ADP
atpp-1025	59	11	analytic	analytic	ADJ
atpp-1025	59	12	teaching	teaching	NOUN
atpp-1025	59	13	and	and	CCONJ
atpp-1025	59	14	philosophical	philosophical	ADJ
atpp-1025	59	15	praxis	praxis	ADJ
atpp-1025	59	16	vol	vol	NOUN
atpp-1025	59	17	.	.	PROPN
atpp-1025	59	18	29	29	NUM
atpp-1025	59	19	no.1	no.1	X
atpp-1025	59	20	55	55	NUM
atpp-1025	59	21	right	right	ADJ
atpp-1025	59	22	answers	answer	NOUN
atpp-1025	59	23	,	,	PUNCT
atpp-1025	59	24	for	for	ADP
atpp-1025	59	25	example	example	NOUN
atpp-1025	59	26	,	,	PUNCT
atpp-1025	59	27	this	this	PRON
atpp-1025	59	28	suggests	suggest	VERB
atpp-1025	59	29	that	that	SCONJ
atpp-1025	59	30	the	the	DET
atpp-1025	59	31	basis	basis	NOUN
atpp-1025	59	32	for	for	ADP
atpp-1025	59	33	epistemic	epistemic	ADJ
atpp-1025	59	34	authority	authority	NOUN
atpp-1025	59	35	in	in	ADP
atpp-1025	59	36	mathematics	mathematic	NOUN
atpp-1025	59	37	does	do	AUX
atpp-1025	59	38	not	not	PART
atpp-1025	59	39	rest	rest	VERB
atpp-1025	59	40	within	within	ADP
atpp-1025	59	41	the	the	DET
atpp-1025	59	42	knower	knower	NOUN
atpp-1025	59	43	”	"	PUNCT
atpp-1025	59	44	(	(	PUNCT
atpp-1025	59	45	ball	ball	NOUN
atpp-1025	59	46	,	,	PUNCT
atpp-1025	59	47	1991	1991	NUM
atpp-1025	59	48	,	,	PUNCT
atpp-1025	59	49	p.	p.	NOUN
atpp-1025	59	50	7	7	NUM
atpp-1025	59	51	)	)	PUNCT
atpp-1025	59	52	.	.	PUNCT
atpp-1025	60	1	but	but	CCONJ
atpp-1025	60	2	if	if	SCONJ
atpp-1025	60	3	the	the	DET
atpp-1025	60	4	student	student	NOUN
atpp-1025	60	5	has	have	AUX
atpp-1025	60	6	defended	defend	VERB
atpp-1025	60	7	a	a	DET
atpp-1025	60	8	conjecture	conjecture	NOUN
atpp-1025	60	9	or	or	CCONJ
atpp-1025	60	10	answer	answer	VERB
atpp-1025	60	11	with	with	ADP
atpp-1025	60	12	reason	reason	NOUN
atpp-1025	60	13	,	,	PUNCT
atpp-1025	60	14	not	not	PART
atpp-1025	60	15	only	only	ADV
atpp-1025	60	16	does	do	AUX
atpp-1025	60	17	the	the	DET
atpp-1025	60	18	“	"	PUNCT
atpp-1025	60	19	epistemic	epistemic	ADJ
atpp-1025	60	20	authority	authority	NOUN
atpp-1025	60	21	”	"	PUNCT
atpp-1025	60	22	reside	reside	VERB
atpp-1025	60	23	within	within	ADP
atpp-1025	60	24	the	the	DET
atpp-1025	60	25	knower	knower	NOUN
atpp-1025	60	26	,	,	PUNCT
atpp-1025	60	27	the	the	DET
atpp-1025	60	28	student	student	NOUN
atpp-1025	60	29	has	have	AUX
atpp-1025	60	30	created	create	VERB
atpp-1025	60	31	her	she	PRON
atpp-1025	60	32	/	/	SYM
atpp-1025	60	33	his	his	PRON
atpp-1025	60	34	own	own	ADJ
atpp-1025	60	35	meaning	meaning	NOUN
atpp-1025	60	36	.	.	PUNCT
atpp-1025	61	1	students	student	NOUN
atpp-1025	61	2	too	too	ADV
atpp-1025	61	3	often	often	ADV
atpp-1025	61	4	see	see	VERB
atpp-1025	61	5	the	the	DET
atpp-1025	61	6	polished	polished	ADJ
atpp-1025	61	7	product	product	NOUN
atpp-1025	61	8	of	of	ADP
atpp-1025	61	9	a	a	DET
atpp-1025	61	10	teacher	teacher	NOUN
atpp-1025	61	11	’s	’s	PART
atpp-1025	61	12	struggle	struggle	NOUN
atpp-1025	61	13	with	with	ADP
atpp-1025	61	14	a	a	DET
atpp-1025	61	15	topic	topic	NOUN
atpp-1025	61	16	or	or	CCONJ
atpp-1025	61	17	hours	hour	NOUN
atpp-1025	61	18	of	of	ADP
atpp-1025	61	19	investigation	investigation	NOUN
atpp-1025	61	20	that	that	PRON
atpp-1025	61	21	did	do	AUX
atpp-1025	61	22	not	not	PART
atpp-1025	61	23	lead	lead	VERB
atpp-1025	61	24	directly	directly	ADV
atpp-1025	61	25	to	to	ADP
atpp-1025	61	26	a	a	DET
atpp-1025	61	27	viable	viable	ADJ
atpp-1025	61	28	process	process	NOUN
atpp-1025	61	29	.	.	PUNCT
atpp-1025	62	1	“	"	PUNCT
atpp-1025	62	2	naïve	naïve	ADJ
atpp-1025	62	3	conjecture	conjecture	NOUN
atpp-1025	62	4	and	and	CCONJ
atpp-1025	62	5	counterexamples	counterexample	NOUN
atpp-1025	62	6	do	do	AUX
atpp-1025	62	7	not	not	PART
atpp-1025	62	8	appear	appear	VERB
atpp-1025	62	9	in	in	ADP
atpp-1025	62	10	the	the	DET
atpp-1025	62	11	fully	fully	ADV
atpp-1025	62	12	fledged	fledged	ADJ
atpp-1025	62	13	deductive	deductive	ADJ
atpp-1025	62	14	structure	structure	NOUN
atpp-1025	62	15	:	:	PUNCT
atpp-1025	62	16	the	the	DET
atpp-1025	62	17	zig	zig	NOUN
atpp-1025	62	18	-	-	PUNCT
atpp-1025	62	19	zag	zag	NOUN
atpp-1025	62	20	of	of	ADP
atpp-1025	62	21	discovery	discovery	NOUN
atpp-1025	62	22	can	can	AUX
atpp-1025	62	23	not	not	PART
atpp-1025	62	24	be	be	AUX
atpp-1025	62	25	discerned	discern	VERB
atpp-1025	62	26	in	in	ADP
atpp-1025	62	27	the	the	DET
atpp-1025	62	28	end	end	NOUN
atpp-1025	62	29	product	product	NOUN
atpp-1025	62	30	”	"	PUNCT
atpp-1025	62	31	(	(	PUNCT
atpp-1025	62	32	lakatos	lakatos	PROPN
atpp-1025	62	33	,	,	PUNCT
atpp-1025	62	34	1976	1976	NUM
atpp-1025	62	35	,	,	PUNCT
atpp-1025	62	36	p.42	p.42	NOUN
atpp-1025	62	37	)	)	PUNCT
atpp-1025	62	38	.	.	PUNCT
atpp-1025	63	1	students	student	NOUN
atpp-1025	63	2	need	need	VERB
atpp-1025	63	3	to	to	PART
atpp-1025	63	4	engage	engage	VERB
atpp-1025	63	5	in	in	ADP
atpp-1025	63	6	the	the	DET
atpp-1025	63	7	polishing	polishing	NOUN
atpp-1025	63	8	process	process	NOUN
atpp-1025	63	9	,	,	PUNCT
atpp-1025	63	10	but	but	CCONJ
atpp-1025	63	11	for	for	SCONJ
atpp-1025	63	12	this	this	PRON
atpp-1025	63	13	to	to	PART
atpp-1025	63	14	happen	happen	VERB
atpp-1025	63	15	teachers	teacher	NOUN
atpp-1025	63	16	must	must	AUX
atpp-1025	63	17	get	get	VERB
atpp-1025	63	18	students	student	NOUN
atpp-1025	63	19	to	to	PART
atpp-1025	63	20	change	change	VERB
atpp-1025	63	21	their	their	PRON
atpp-1025	63	22	focus	focus	NOUN
atpp-1025	63	23	.	.	PUNCT
atpp-1025	64	1	instead	instead	ADV
atpp-1025	64	2	of	of	ADP
atpp-1025	64	3	a	a	DET
atpp-1025	64	4	race	race	NOUN
atpp-1025	64	5	to	to	ADP
atpp-1025	64	6	the	the	DET
atpp-1025	64	7	correct	correct	ADJ
atpp-1025	64	8	answers	answer	NOUN
atpp-1025	64	9	,	,	PUNCT
atpp-1025	64	10	students	student	NOUN
atpp-1025	64	11	need	need	VERB
atpp-1025	64	12	to	to	PART
atpp-1025	64	13	focus	focus	VERB
atpp-1025	64	14	on	on	ADP
atpp-1025	64	15	the	the	DET
atpp-1025	64	16	investigation	investigation	NOUN
atpp-1025	64	17	process	process	NOUN
atpp-1025	64	18	,	,	PUNCT
atpp-1025	64	19	the	the	DET
atpp-1025	64	20	connections	connection	NOUN
atpp-1025	64	21	among	among	ADP
atpp-1025	64	22	concepts	concept	NOUN
atpp-1025	64	23	,	,	PUNCT
atpp-1025	64	24	and	and	CCONJ
atpp-1025	64	25	the	the	DET
atpp-1025	64	26	structure	structure	NOUN
atpp-1025	64	27	of	of	ADP
atpp-1025	64	28	mathematics	mathematic	NOUN
atpp-1025	64	29	(	(	PUNCT
atpp-1025	64	30	lakatos	lakatos	PROPN
atpp-1025	64	31	,	,	PUNCT
atpp-1025	64	32	1976	1976	NUM
atpp-1025	64	33	;	;	PUNCT
atpp-1025	64	34	peressini	peressini	NOUN
atpp-1025	64	35	&	&	CCONJ
atpp-1025	64	36	knuth	knuth	PROPN
atpp-1025	64	37	,	,	PUNCT
atpp-1025	64	38	2000	2000	NUM
atpp-1025	64	39	;	;	PUNCT
atpp-1025	64	40	tymoczko	tymoczko	NOUN
atpp-1025	64	41	,	,	PUNCT
atpp-1025	64	42	1985	1985	NUM
atpp-1025	64	43	)	)	PUNCT
atpp-1025	64	44	.	.	PUNCT
atpp-1025	65	1	in	in	ADP
atpp-1025	65	2	a	a	DET
atpp-1025	65	3	community	community	NOUN
atpp-1025	65	4	of	of	ADP
atpp-1025	65	5	inquiry	inquiry	NOUN
atpp-1025	65	6	,	,	PUNCT
atpp-1025	65	7	“	"	PUNCT
atpp-1025	65	8	knowledge	knowledge	NOUN
atpp-1025	65	9	is	be	AUX
atpp-1025	65	10	never	never	ADV
atpp-1025	65	11	presented	present	VERB
atpp-1025	65	12	as	as	ADP
atpp-1025	65	13	complete	complete	ADJ
atpp-1025	65	14	and	and	CCONJ
atpp-1025	65	15	sacred	sacred	ADJ
atpp-1025	65	16	;	;	PUNCT
atpp-1025	65	17	rather	rather	ADV
atpp-1025	65	18	,	,	PUNCT
atpp-1025	65	19	it	it	PRON
atpp-1025	65	20	is	be	AUX
atpp-1025	65	21	always	always	ADV
atpp-1025	65	22	open	open	ADJ
atpp-1025	65	23	to	to	ADP
atpp-1025	65	24	further	further	ADJ
atpp-1025	65	25	question	question	NOUN
atpp-1025	65	26	and	and	CCONJ
atpp-1025	65	27	criticism	criticism	NOUN
atpp-1025	65	28	”	"	PUNCT
atpp-1025	65	29	(	(	PUNCT
atpp-1025	65	30	harpaz	harpaz	PROPN
atpp-1025	65	31	&	&	CCONJ
atpp-1025	65	32	lefstein	lefstein	PROPN
atpp-1025	65	33	,	,	PUNCT
atpp-1025	65	34	2000	2000	NUM
atpp-1025	65	35	)	)	PUNCT
atpp-1025	65	36	.	.	PUNCT
atpp-1025	66	1	schoenfeld	schoenfeld	PROPN
atpp-1025	66	2	argues	argue	VERB
atpp-1025	66	3	that	that	SCONJ
atpp-1025	66	4	,	,	PUNCT
atpp-1025	66	5	“	"	PUNCT
atpp-1025	66	6	entry	entry	NOUN
atpp-1025	66	7	into	into	ADP
atpp-1025	66	8	that	that	DET
atpp-1025	66	9	culture	culture	NOUN
atpp-1025	66	10	…	…	PUNCT
atpp-1025	66	11	may	may	AUX
atpp-1025	66	12	be	be	AUX
atpp-1025	66	13	necessary	necessary	ADJ
atpp-1025	66	14	to	to	PART
atpp-1025	66	15	understand	understand	VERB
atpp-1025	66	16	and	and	CCONJ
atpp-1025	66	17	appreciate	appreciate	ADJ
atpp-1025	66	18	mathematics	mathematic	NOUN
atpp-1025	66	19	”	"	PUNCT
atpp-1025	66	20	(	(	PUNCT
atpp-1025	66	21	1987	1987	NUM
atpp-1025	66	22	,	,	PUNCT
atpp-1025	66	23	p.	p.	NOUN
atpp-1025	66	24	214	214	NUM
atpp-1025	66	25	)	)	PUNCT
atpp-1025	66	26	.	.	PUNCT
atpp-1025	67	1	a	a	DET
atpp-1025	67	2	sixth	sixth	ADJ
atpp-1025	67	3	characteristic	characteristic	NOUN
atpp-1025	67	4	of	of	ADP
atpp-1025	67	5	a	a	DET
atpp-1025	67	6	community	community	NOUN
atpp-1025	67	7	of	of	ADP
atpp-1025	67	8	mathematical	mathematical	ADJ
atpp-1025	67	9	inquiry	inquiry	NOUN
atpp-1025	67	10	is	be	AUX
atpp-1025	67	11	that	that	SCONJ
atpp-1025	67	12	students	student	NOUN
atpp-1025	67	13	inquire	inquire	VERB
atpp-1025	67	14	into	into	ADP
atpp-1025	67	15	the	the	DET
atpp-1025	67	16	procedures	procedure	NOUN
atpp-1025	67	17	of	of	ADP
atpp-1025	67	18	inquiry	inquiry	NOUN
atpp-1025	67	19	.	.	PUNCT
atpp-1025	68	1	in	in	ADP
atpp-1025	68	2	mathematics	mathematic	NOUN
atpp-1025	68	3	,	,	PUNCT
atpp-1025	68	4	when	when	SCONJ
atpp-1025	68	5	students	student	NOUN
atpp-1025	68	6	think	think	VERB
atpp-1025	68	7	about	about	ADP
atpp-1025	68	8	what	what	PRON
atpp-1025	68	9	they	they	PRON
atpp-1025	68	10	are	be	AUX
atpp-1025	68	11	doing	do	VERB
atpp-1025	68	12	during	during	ADP
atpp-1025	68	13	the	the	DET
atpp-1025	68	14	problem	problem	NOUN
atpp-1025	68	15	-	-	PUNCT
atpp-1025	68	16	solving	solve	VERB
atpp-1025	68	17	process	process	NOUN
atpp-1025	68	18	,	,	PUNCT
atpp-1025	68	19	they	they	PRON
atpp-1025	68	20	inquire	inquire	VERB
atpp-1025	68	21	into	into	ADP
atpp-1025	68	22	the	the	DET
atpp-1025	68	23	procedures	procedure	NOUN
atpp-1025	68	24	of	of	ADP
atpp-1025	68	25	inquiry	inquiry	NOUN
atpp-1025	68	26	(	(	PUNCT
atpp-1025	68	27	problem	problem	NOUN
atpp-1025	68	28	solving	solving	NOUN
atpp-1025	68	29	)	)	PUNCT
atpp-1025	68	30	.	.	PUNCT
atpp-1025	69	1	when	when	SCONJ
atpp-1025	69	2	a	a	DET
atpp-1025	69	3	teacher	teacher	NOUN
atpp-1025	69	4	adopts	adopt	VERB
atpp-1025	69	5	a	a	DET
atpp-1025	69	6	cooperative	cooperative	ADJ
atpp-1025	69	7	problemsolving	problemsolving	NOUN
atpp-1025	69	8	approach	approach	NOUN
atpp-1025	69	9	,	,	PUNCT
atpp-1025	69	10	an	an	DET
atpp-1025	69	11	underlying	underlie	VERB
atpp-1025	69	12	objective	objective	NOUN
atpp-1025	69	13	is	be	AUX
atpp-1025	69	14	for	for	SCONJ
atpp-1025	69	15	students	student	NOUN
atpp-1025	69	16	to	to	PART
atpp-1025	69	17	abandon	abandon	VERB
atpp-1025	69	18	rehearsals	rehearsal	NOUN
atpp-1025	69	19	of	of	ADP
atpp-1025	69	20	rules	rule	NOUN
atpp-1025	69	21	and	and	CCONJ
atpp-1025	69	22	to	to	PART
atpp-1025	69	23	plan	plan	VERB
atpp-1025	69	24	how	how	SCONJ
atpp-1025	69	25	to	to	PART
atpp-1025	69	26	solve	solve	VERB
atpp-1025	69	27	complex	complex	ADJ
atpp-1025	69	28	problems	problem	NOUN
atpp-1025	69	29	.	.	PUNCT
atpp-1025	70	1	this	this	DET
atpp-1025	70	2	objective	objective	NOUN
atpp-1025	70	3	requires	require	VERB
atpp-1025	70	4	students	student	NOUN
atpp-1025	70	5	to	to	PART
atpp-1025	70	6	adopt	adopt	VERB
atpp-1025	70	7	and	and	CCONJ
atpp-1025	70	8	practice	practice	VERB
atpp-1025	70	9	a	a	DET
atpp-1025	70	10	way	way	NOUN
atpp-1025	70	11	to	to	PART
atpp-1025	70	12	manage	manage	VERB
atpp-1025	70	13	their	their	PRON
atpp-1025	70	14	problem	problem	NOUN
atpp-1025	70	15	solving	solve	VERB
atpp-1025	70	16	.	.	PUNCT
atpp-1025	71	1	aspects	aspect	NOUN
atpp-1025	71	2	of	of	ADP
atpp-1025	71	3	management	management	NOUN
atpp-1025	71	4	include	include	VERB
atpp-1025	71	5	(	(	PUNCT
atpp-1025	71	6	a	a	X
atpp-1025	71	7	)	)	PUNCT
atpp-1025	71	8	making	make	VERB
atpp-1025	71	9	sure	sure	ADJ
atpp-1025	71	10	that	that	SCONJ
atpp-1025	71	11	you	you	PRON
atpp-1025	71	12	understand	understand	VERB
atpp-1025	71	13	what	what	PRON
atpp-1025	71	14	a	a	DET
atpp-1025	71	15	problem	problem	NOUN
atpp-1025	71	16	is	be	AUX
atpp-1025	71	17	all	all	ADV
atpp-1025	71	18	about	about	ADP
atpp-1025	71	19	before	before	SCONJ
atpp-1025	71	20	you	you	PRON
atpp-1025	71	21	hastily	hastily	ADV
atpp-1025	71	22	attempt	attempt	VERB
atpp-1025	71	23	a	a	DET
atpp-1025	71	24	solution	solution	NOUN
atpp-1025	71	25	;	;	PUNCT
atpp-1025	71	26	(	(	PUNCT
atpp-1025	71	27	b	b	X
atpp-1025	71	28	)	)	PUNCT
atpp-1025	71	29	planning	planning	NOUN
atpp-1025	71	30	;	;	PUNCT
atpp-1025	71	31	(	(	PUNCT
atpp-1025	71	32	c	c	X
atpp-1025	71	33	)	)	PUNCT
atpp-1025	71	34	monitoring	monitoring	NOUN
atpp-1025	71	35	,	,	PUNCT
atpp-1025	71	36	or	or	CCONJ
atpp-1025	71	37	keeping	keep	VERB
atpp-1025	71	38	track	track	NOUN
atpp-1025	71	39	of	of	ADP
atpp-1025	71	40	how	how	SCONJ
atpp-1025	71	41	well	well	ADV
atpp-1025	71	42	things	thing	NOUN
atpp-1025	71	43	are	be	AUX
atpp-1025	71	44	going	go	VERB
atpp-1025	71	45	during	during	ADP
atpp-1025	71	46	a	a	DET
atpp-1025	71	47	solution	solution	NOUN
atpp-1025	71	48	;	;	PUNCT
atpp-1025	71	49	and	and	CCONJ
atpp-1025	71	50	(	(	PUNCT
atpp-1025	71	51	d	d	X
atpp-1025	71	52	)	)	PUNCT
atpp-1025	71	53	allocating	allocate	VERB
atpp-1025	71	54	resources	resource	NOUN
atpp-1025	71	55	,	,	PUNCT
atpp-1025	71	56	or	or	CCONJ
atpp-1025	71	57	deciding	decide	VERB
atpp-1025	71	58	what	what	PRON
atpp-1025	71	59	to	to	PART
atpp-1025	71	60	do	do	VERB
atpp-1025	71	61	,	,	PUNCT
atpp-1025	71	62	and	and	CCONJ
atpp-1025	71	63	for	for	ADP
atpp-1025	71	64	how	how	SCONJ
atpp-1025	71	65	long	long	ADV
atpp-1025	71	66	,	,	PUNCT
atpp-1025	71	67	as	as	SCONJ
atpp-1025	71	68	you	you	PRON
atpp-1025	71	69	work	work	VERB
atpp-1025	71	70	on	on	ADP
atpp-1025	71	71	a	a	DET
atpp-1025	71	72	problem	problem	NOUN
atpp-1025	71	73	(	(	PUNCT
atpp-1025	71	74	schoenfeld	schoenfeld	PROPN
atpp-1025	71	75	,	,	PUNCT
atpp-1025	71	76	1987	1987	NUM
atpp-1025	71	77	,	,	PUNCT
atpp-1025	71	78	p.	p.	NOUN
atpp-1025	71	79	109	109	NUM
atpp-1025	71	80	-	-	SYM
atpp-1025	71	81	110	110	NUM
atpp-1025	71	82	)	)	PUNCT
atpp-1025	71	83	.	.	PUNCT
atpp-1025	72	1	schoenfeld	schoenfeld	PROPN
atpp-1025	72	2	(	(	PUNCT
atpp-1025	72	3	1987	1987	NUM
atpp-1025	72	4	)	)	PUNCT
atpp-1025	72	5	contends	contend	VERB
atpp-1025	72	6	that	that	SCONJ
atpp-1025	72	7	if	if	SCONJ
atpp-1025	72	8	teachers	teacher	NOUN
atpp-1025	72	9	fail	fail	VERB
atpp-1025	72	10	to	to	PART
atpp-1025	72	11	provide	provide	VERB
atpp-1025	72	12	students	student	NOUN
atpp-1025	72	13	a	a	DET
atpp-1025	72	14	general	general	ADJ
atpp-1025	72	15	way	way	NOUN
atpp-1025	72	16	to	to	ADP
atpp-1025	72	17	“	"	PUNCT
atpp-1025	72	18	self	self	NOUN
atpp-1025	72	19	-	-	PUNCT
atpp-1025	72	20	regulate	regulate	VERB
atpp-1025	72	21	”	"	PUNCT
atpp-1025	72	22	their	their	PRON
atpp-1025	72	23	problem	problem	NOUN
atpp-1025	72	24	solving	solving	NOUN
atpp-1025	72	25	attempts	attempt	NOUN
atpp-1025	72	26	,	,	PUNCT
atpp-1025	72	27	students	student	NOUN
atpp-1025	72	28	become	become	VERB
atpp-1025	72	29	frustrated	frustrated	ADJ
atpp-1025	72	30	when	when	SCONJ
atpp-1025	72	31	they	they	PRON
atpp-1025	72	32	can	can	AUX
atpp-1025	72	33	not	not	PART
atpp-1025	72	34	start	start	VERB
atpp-1025	72	35	a	a	DET
atpp-1025	72	36	problem	problem	NOUN
atpp-1025	72	37	,	,	PUNCT
atpp-1025	72	38	they	they	PRON
atpp-1025	72	39	continue	continue	VERB
atpp-1025	72	40	a	a	DET
atpp-1025	72	41	strategy	strategy	NOUN
atpp-1025	72	42	that	that	PRON
atpp-1025	72	43	never	never	ADV
atpp-1025	72	44	converges	converge	VERB
atpp-1025	72	45	to	to	ADP
atpp-1025	72	46	a	a	DET
atpp-1025	72	47	solution	solution	NOUN
atpp-1025	72	48	,	,	PUNCT
atpp-1025	72	49	or	or	CCONJ
atpp-1025	72	50	they	they	PRON
atpp-1025	72	51	run	run	VERB
atpp-1025	72	52	into	into	ADP
atpp-1025	72	53	a	a	DET
atpp-1025	72	54	dead	dead	ADJ
atpp-1025	72	55	end	end	NOUN
atpp-1025	72	56	with	with	ADP
atpp-1025	72	57	their	their	PRON
atpp-1025	72	58	selected	select	VERB
atpp-1025	72	59	strategy	strategy	NOUN
atpp-1025	72	60	.	.	PUNCT
atpp-1025	73	1	therefore	therefore	ADV
atpp-1025	73	2	,	,	PUNCT
atpp-1025	73	3	in	in	ADP
atpp-1025	73	4	addition	addition	NOUN
atpp-1025	73	5	to	to	ADP
atpp-1025	73	6	learning	learn	VERB
atpp-1025	73	7	a	a	DET
atpp-1025	73	8	collection	collection	NOUN
atpp-1025	73	9	of	of	ADP
atpp-1025	73	10	processes	process	NOUN
atpp-1025	73	11	and	and	CCONJ
atpp-1025	73	12	concepts	concept	NOUN
atpp-1025	73	13	,	,	PUNCT
atpp-1025	73	14	students	student	NOUN
atpp-1025	73	15	must	must	AUX
atpp-1025	73	16	learn	learn	VERB
atpp-1025	73	17	and	and	CCONJ
atpp-1025	73	18	practice	practice	VERB
atpp-1025	73	19	a	a	DET
atpp-1025	73	20	management	management	NOUN
atpp-1025	73	21	system	system	NOUN
atpp-1025	73	22	in	in	ADP
atpp-1025	73	23	order	order	NOUN
atpp-1025	73	24	to	to	PART
atpp-1025	73	25	become	become	VERB
atpp-1025	73	26	successful	successful	ADJ
atpp-1025	73	27	problem	problem	NOUN
atpp-1025	73	28	solvers	solver	NOUN
atpp-1025	73	29	.	.	PUNCT
atpp-1025	74	1	in	in	ADP
atpp-1025	74	2	other	other	ADJ
atpp-1025	74	3	words	word	NOUN
atpp-1025	74	4	,	,	PUNCT
atpp-1025	74	5	managing	manage	VERB
atpp-1025	74	6	or	or	CCONJ
atpp-1025	74	7	thinking	think	VERB
atpp-1025	74	8	about	about	ADP
atpp-1025	74	9	problem	problem	NOUN
atpp-1025	74	10	solving	solve	VERB
atpp-1025	74	11	differs	differ	NOUN
atpp-1025	74	12	from	from	ADP
atpp-1025	74	13	solving	solve	VERB
atpp-1025	74	14	problems	problem	NOUN
atpp-1025	74	15	,	,	PUNCT
atpp-1025	74	16	but	but	CCONJ
atpp-1025	74	17	it	it	PRON
atpp-1025	74	18	is	be	AUX
atpp-1025	74	19	a	a	DET
atpp-1025	74	20	necessity	necessity	NOUN
atpp-1025	74	21	for	for	ADP
atpp-1025	74	22	problem	problem	NOUN
atpp-1025	74	23	solvers	solver	NOUN
atpp-1025	74	24	.	.	PUNCT
atpp-1025	75	1	schoenfeld	schoenfeld	PROPN
atpp-1025	75	2	(	(	PUNCT
atpp-1025	75	3	1987	1987	NUM
atpp-1025	75	4	)	)	PUNCT
atpp-1025	75	5	suggests	suggest	VERB
atpp-1025	75	6	students	student	NOUN
atpp-1025	75	7	reflect	reflect	VERB
atpp-1025	75	8	on	on	ADP
atpp-1025	75	9	the	the	DET
atpp-1025	75	10	problem	problem	NOUN
atpp-1025	75	11	-	-	PUNCT
atpp-1025	75	12	solving	solve	VERB
atpp-1025	75	13	process	process	NOUN
atpp-1025	75	14	by	by	ADP
atpp-1025	75	15	asking	ask	VERB
atpp-1025	75	16	,	,	PUNCT
atpp-1025	75	17	“	"	PUNCT
atpp-1025	75	18	how	how	SCONJ
atpp-1025	75	19	well	well	ADV
atpp-1025	75	20	do	do	AUX
atpp-1025	75	21	you	you	PRON
atpp-1025	75	22	keep	keep	VERB
atpp-1025	75	23	track	track	NOUN
atpp-1025	75	24	of	of	ADP
atpp-1025	75	25	what	what	PRON
atpp-1025	75	26	you	you	PRON
atpp-1025	75	27	’re	’re	AUX
atpp-1025	75	28	doing	do	VERB
atpp-1025	75	29	when	when	SCONJ
atpp-1025	75	30	(	(	PUNCT
atpp-1025	75	31	for	for	ADP
atpp-1025	75	32	example	example	NOUN
atpp-1025	75	33	)	)	PUNCT
atpp-1025	75	34	you	you	PRON
atpp-1025	75	35	’re	’re	AUX
atpp-1025	75	36	solving	solve	VERB
atpp-1025	75	37	problems	problem	NOUN
atpp-1025	75	38	,	,	PUNCT
atpp-1025	75	39	and	and	CCONJ
atpp-1025	75	40	how	how	SCONJ
atpp-1025	75	41	well	well	ADV
atpp-1025	75	42	(	(	PUNCT
atpp-1025	75	43	if	if	SCONJ
atpp-1025	75	44	at	at	ADV
atpp-1025	75	45	all	all	ADV
atpp-1025	75	46	)	)	PUNCT
atpp-1025	75	47	do	do	AUX
atpp-1025	75	48	you	you	PRON
atpp-1025	75	49	use	use	VERB
atpp-1025	75	50	the	the	DET
atpp-1025	75	51	input	input	NOUN
atpp-1025	75	52	from	from	ADP
atpp-1025	75	53	those	those	DET
atpp-1025	75	54	observations	observation	NOUN
atpp-1025	75	55	to	to	PART
atpp-1025	75	56	guide	guide	VERB
atpp-1025	75	57	your	your	PRON
atpp-1025	75	58	problem	problem	NOUN
atpp-1025	75	59	solving	solving	NOUN
atpp-1025	75	60	actions	action	NOUN
atpp-1025	75	61	?	?	PUNCT
atpp-1025	75	62	”	"	PUNCT
atpp-1025	75	63	(	(	PUNCT
atpp-1025	75	64	p.190	p.190	PROPN
atpp-1025	75	65	)	)	PUNCT
atpp-1025	75	66	.	.	PUNCT
atpp-1025	76	1	the	the	DET
atpp-1025	76	2	seventh	seventh	ADJ
atpp-1025	76	3	characteristic	characteristic	NOUN
atpp-1025	76	4	of	of	ADP
atpp-1025	76	5	a	a	DET
atpp-1025	76	6	community	community	NOUN
atpp-1025	76	7	of	of	ADP
atpp-1025	76	8	mathematical	mathematical	ADJ
atpp-1025	76	9	inquiry	inquiry	NOUN
atpp-1025	76	10	is	be	AUX
atpp-1025	76	11	that	that	SCONJ
atpp-1025	76	12	it	it	PRON
atpp-1025	76	13	supports	support	VERB
atpp-1025	76	14	students	student	NOUN
atpp-1025	76	15	doing	do	VERB
atpp-1025	76	16	mathematics	mathematic	NOUN
atpp-1025	76	17	like	like	ADP
atpp-1025	76	18	mathematicians	mathematician	NOUN
atpp-1025	76	19	.	.	PUNCT
atpp-1025	77	1	one	one	NUM
atpp-1025	77	2	essential	essential	ADJ
atpp-1025	77	3	ingredient	ingredient	NOUN
atpp-1025	77	4	in	in	ADP
atpp-1025	77	5	developing	develop	VERB
atpp-1025	77	6	a	a	DET
atpp-1025	77	7	community	community	NOUN
atpp-1025	77	8	of	of	ADP
atpp-1025	77	9	inquiry	inquiry	NOUN
atpp-1025	77	10	environment	environment	NOUN
atpp-1025	77	11	in	in	ADP
atpp-1025	77	12	high	high	ADJ
atpp-1025	77	13	school	school	NOUN
atpp-1025	77	14	mathematics	mathematic	NOUN
atpp-1025	77	15	is	be	AUX
atpp-1025	77	16	the	the	DET
atpp-1025	77	17	creation	creation	NOUN
atpp-1025	77	18	of	of	ADP
atpp-1025	77	19	a	a	DET
atpp-1025	77	20	culture	culture	NOUN
atpp-1025	77	21	of	of	ADP
atpp-1025	77	22	mathematicians	mathematician	NOUN
atpp-1025	77	23	(	(	PUNCT
atpp-1025	77	24	clarke	clarke	PROPN
atpp-1025	77	25	,	,	PUNCT
atpp-1025	77	26	1997	1997	NUM
atpp-1025	77	27	;	;	PUNCT
atpp-1025	77	28	cobb	cobb	PROPN
atpp-1025	77	29	,	,	PUNCT
atpp-1025	77	30	wood	wood	NOUN
atpp-1025	77	31	,	,	PUNCT
atpp-1025	77	32	&	&	CCONJ
atpp-1025	77	33	yackel	yackel	NOUN
atpp-1025	77	34	,	,	PUNCT
atpp-1025	77	35	1991	1991	NUM
atpp-1025	77	36	;	;	PUNCT
atpp-1025	77	37	lampert	lampert	PROPN
atpp-1025	77	38	,	,	PUNCT
atpp-1025	77	39	1990	1990	NUM
atpp-1025	77	40	;	;	PUNCT
atpp-1025	77	41	shoenfeld	shoenfeld	VERB
atpp-1025	77	42	,	,	PUNCT
atpp-1025	77	43	1987	1987	NUM
atpp-1025	77	44	,	,	PUNCT
atpp-1025	77	45	1996	1996	NUM
atpp-1025	77	46	)	)	PUNCT
atpp-1025	77	47	.	.	PUNCT
atpp-1025	78	1	in	in	ADP
atpp-1025	78	2	a	a	DET
atpp-1025	78	3	community	community	NOUN
atpp-1025	78	4	of	of	ADP
atpp-1025	78	5	mathematical	mathematical	ADJ
atpp-1025	78	6	inquiry	inquiry	NOUN
atpp-1025	78	7	,	,	PUNCT
atpp-1025	78	8	axioms	axiom	NOUN
atpp-1025	78	9	and	and	CCONJ
atpp-1025	78	10	definitions	definition	NOUN
atpp-1025	78	11	remain	remain	VERB
atpp-1025	78	12	open	open	ADJ
atpp-1025	78	13	to	to	ADP
atpp-1025	78	14	reexamination	reexamination	NOUN
atpp-1025	78	15	by	by	ADP
atpp-1025	78	16	the	the	DET
atpp-1025	78	17	community	community	NOUN
atpp-1025	78	18	.	.	PUNCT
atpp-1025	79	1	when	when	SCONJ
atpp-1025	79	2	members	member	NOUN
atpp-1025	79	3	of	of	ADP
atpp-1025	79	4	the	the	DET
atpp-1025	79	5	community	community	NOUN
atpp-1025	79	6	engaged	engage	VERB
atpp-1025	79	7	in	in	ADP
atpp-1025	79	8	constructing	construct	VERB
atpp-1025	79	9	a	a	DET
atpp-1025	79	10	proof	proof	NOUN
atpp-1025	79	11	discover	discover	VERB
atpp-1025	79	12	a	a	DET
atpp-1025	79	13	deficiency	deficiency	NOUN
atpp-1025	79	14	,	,	PUNCT
atpp-1025	79	15	the	the	DET
atpp-1025	79	16	need	need	NOUN
atpp-1025	79	17	for	for	ADP
atpp-1025	79	18	revision	revision	NOUN
atpp-1025	79	19	is	be	AUX
atpp-1025	79	20	obvious	obvious	ADJ
atpp-1025	79	21	.	.	PUNCT
atpp-1025	80	1	revisions	revision	NOUN
atpp-1025	80	2	of	of	ADP
atpp-1025	80	3	assertions	assertion	NOUN
atpp-1025	80	4	by	by	ADP
atpp-1025	80	5	community	community	NOUN
atpp-1025	80	6	members	member	NOUN
atpp-1025	80	7	in	in	ADP
atpp-1025	80	8	the	the	DET
atpp-1025	80	9	light	light	NOUN
atpp-1025	80	10	of	of	ADP
atpp-1025	80	11	recently	recently	ADV
atpp-1025	80	12	discovered	discover	VERB
atpp-1025	80	13	inadequacies	inadequacy	NOUN
atpp-1025	80	14	allow	allow	VERB
atpp-1025	80	15	mathematics	mathematic	NOUN
atpp-1025	80	16	to	to	PART
atpp-1025	80	17	advance	advance	VERB
atpp-1025	80	18	(	(	PUNCT
atpp-1025	80	19	lampert	lampert	PROPN
atpp-1025	80	20	,	,	PUNCT
atpp-1025	80	21	1990	1990	NUM
atpp-1025	80	22	)	)	PUNCT
atpp-1025	80	23	.	.	PUNCT
atpp-1025	81	1	helped	help	VERB
atpp-1025	81	2	by	by	ADP
atpp-1025	81	3	a	a	DET
atpp-1025	81	4	mathematician	mathematician	NOUN
atpp-1025	81	5	’s	’s	PART
atpp-1025	81	6	educated	educate	VERB
atpp-1025	81	7	guessing	guess	VERB
atpp-1025	81	8	about	about	ADP
atpp-1025	81	9	relationships	relationship	NOUN
atpp-1025	81	10	,	,	PUNCT
atpp-1025	81	11	mathematics	mathematic	NOUN
atpp-1025	81	12	develops	develop	VERB
atpp-1025	81	13	in	in	ADP
atpp-1025	81	14	a	a	DET
atpp-1025	81	15	back	back	NOUN
atpp-1025	81	16	-	-	PUNCT
atpp-1025	81	17	and	and	CCONJ
atpp-1025	81	18	-	-	PUNCT
atpp-1025	81	19	forth	forth	NOUN
atpp-1025	81	20	process	process	NOUN
atpp-1025	81	21	between	between	ADP
atpp-1025	81	22	adjusting	adjust	VERB
atpp-1025	81	23	assumptions	assumption	NOUN
atpp-1025	81	24	and	and	CCONJ
atpp-1025	81	25	revising	revise	VERB
atpp-1025	81	26	conclusions	conclusion	NOUN
atpp-1025	81	27	.	.	PUNCT
atpp-1025	82	1	a	a	DET
atpp-1025	82	2	conjecture	conjecture	NOUN
atpp-1025	82	3	is	be	AUX
atpp-1025	82	4	proposed	propose	VERB
atpp-1025	82	5	to	to	ADP
atpp-1025	82	6	the	the	DET
atpp-1025	82	7	mathematical	mathematical	ADJ
atpp-1025	82	8	community	community	NOUN
atpp-1025	82	9	and	and	CCONJ
atpp-1025	82	10	stands	stand	VERB
atpp-1025	82	11	until	until	SCONJ
atpp-1025	82	12	a	a	DET
atpp-1025	82	13	counterexample	counterexample	NOUN
atpp-1025	82	14	is	be	AUX
atpp-1025	82	15	discovered	discover	VERB
atpp-1025	82	16	or	or	CCONJ
atpp-1025	82	17	the	the	DET
atpp-1025	82	18	conjecture	conjecture	NOUN
atpp-1025	82	19	is	be	AUX
atpp-1025	82	20	proven	prove	VERB
atpp-1025	82	21	.	.	PUNCT
atpp-1025	83	1	students	student	NOUN
atpp-1025	83	2	need	need	VERB
atpp-1025	83	3	practice	practice	NOUN
atpp-1025	83	4	in	in	ADP
atpp-1025	83	5	taking	take	VERB
atpp-1025	83	6	the	the	DET
atpp-1025	83	7	risk	risk	NOUN
atpp-1025	83	8	to	to	PART
atpp-1025	83	9	make	make	VERB
atpp-1025	83	10	conjectures	conjecture	NOUN
atpp-1025	83	11	;	;	PUNCT
atpp-1025	83	12	they	they	PRON
atpp-1025	83	13	must	must	AUX
atpp-1025	83	14	also	also	ADV
atpp-1025	83	15	understand	understand	VERB
atpp-1025	83	16	that	that	SCONJ
atpp-1025	83	17	,	,	PUNCT
atpp-1025	83	18	because	because	SCONJ
atpp-1025	83	19	of	of	ADP
atpp-1025	83	20	limited	limited	ADJ
atpp-1025	83	21	insight	insight	NOUN
atpp-1025	83	22	,	,	PUNCT
atpp-1025	83	23	their	their	PRON
atpp-1025	83	24	conclusions	conclusion	NOUN
atpp-1025	83	25	might	might	AUX
atpp-1025	83	26	be	be	AUX
atpp-1025	83	27	incorrect	incorrect	ADJ
atpp-1025	83	28	(	(	PUNCT
atpp-1025	83	29	lampert	lampert	PROPN
atpp-1025	83	30	,	,	PUNCT
atpp-1025	83	31	1990	1990	NUM
atpp-1025	83	32	)	)	PUNCT
atpp-1025	83	33	.	.	PUNCT
atpp-1025	84	1	schoenfeld	schoenfeld	PROPN
atpp-1025	84	2	(	(	PUNCT
atpp-1025	84	3	1987	1987	NUM
atpp-1025	84	4	)	)	PUNCT
atpp-1025	84	5	points	point	VERB
atpp-1025	84	6	out	out	ADP
atpp-1025	84	7	three	three	NUM
atpp-1025	84	8	important	important	ADJ
atpp-1025	84	9	types	type	NOUN
atpp-1025	84	10	of	of	ADP
atpp-1025	84	11	metacognition	metacognition	NOUN
atpp-1025	84	12	that	that	PRON
atpp-1025	84	13	mathematicians	mathematician	NOUN
atpp-1025	84	14	need	need	VERB
atpp-1025	84	15	to	to	PART
atpp-1025	84	16	develop	develop	VERB
atpp-1025	84	17	:	:	PUNCT
atpp-1025	84	18	a	a	X
atpp-1025	84	19	)	)	PUNCT
atpp-1025	84	20	a	a	DET
atpp-1025	84	21	problem	problem	NOUN
atpp-1025	84	22	solver	solver	VERB
atpp-1025	84	23	’s	’s	PART
atpp-1025	84	24	knowledge	knowledge	NOUN
atpp-1025	84	25	about	about	ADP
atpp-1025	84	26	his	his	PRON
atpp-1025	84	27	/	/	SYM
atpp-1025	84	28	her	her	PRON
atpp-1025	84	29	own	own	ADJ
atpp-1025	84	30	thought	thought	NOUN
atpp-1025	84	31	process	process	NOUN
atpp-1025	84	32	,	,	PUNCT
atpp-1025	84	33	b	b	X
atpp-1025	84	34	)	)	PUNCT
atpp-1025	84	35	a	a	DET
atpp-1025	84	36	problem	problem	NOUN
atpp-1025	84	37	solver	solver	VERB
atpp-1025	84	38	’s	’s	PART
atpp-1025	84	39	self	self	NOUN
atpp-1025	84	40	-	-	PUNCT
atpp-1025	84	41	regulation	regulation	NOUN
atpp-1025	84	42	,	,	PUNCT
atpp-1025	84	43	and	and	CCONJ
atpp-1025	84	44	c	c	X
atpp-1025	84	45	)	)	PUNCT
atpp-1025	84	46	analytic	analytic	ADJ
atpp-1025	84	47	teaching	teaching	NOUN
atpp-1025	84	48	and	and	CCONJ
atpp-1025	84	49	philosophical	philosophical	ADJ
atpp-1025	84	50	praxis	praxis	ADJ
atpp-1025	84	51	vol	vol	NOUN
atpp-1025	84	52	.	.	PROPN
atpp-1025	84	53	29	29	NUM
atpp-1025	84	54	no.1	no.1	X
atpp-1025	84	55	56	56	NUM
atpp-1025	84	56	a	a	DET
atpp-1025	84	57	problem	problem	NOUN
atpp-1025	84	58	solver	solver	NOUN
atpp-1025	84	59	’s	’s	PART
atpp-1025	84	60	beliefs	belief	NOUN
atpp-1025	84	61	and	and	CCONJ
atpp-1025	84	62	intuitions	intuition	NOUN
atpp-1025	84	63	(	(	PUNCT
atpp-1025	84	64	p.	p.	NOUN
atpp-1025	84	65	190	190	NUM
atpp-1025	84	66	)	)	PUNCT
atpp-1025	84	67	.	.	PUNCT
atpp-1025	85	1	participation	participation	NOUN
atpp-1025	85	2	in	in	ADP
atpp-1025	85	3	a	a	DET
atpp-1025	85	4	community	community	NOUN
atpp-1025	85	5	of	of	ADP
atpp-1025	85	6	mathematical	mathematical	ADJ
atpp-1025	85	7	inquiry	inquiry	NOUN
atpp-1025	85	8	allows	allow	VERB
atpp-1025	85	9	each	each	PRON
atpp-1025	85	10	of	of	ADP
atpp-1025	85	11	these	these	DET
atpp-1025	85	12	qualities	quality	NOUN
atpp-1025	85	13	to	to	PART
atpp-1025	85	14	be	be	AUX
atpp-1025	85	15	developed	develop	VERB
atpp-1025	85	16	.	.	PUNCT
atpp-1025	86	1	students	student	NOUN
atpp-1025	86	2	become	become	VERB
atpp-1025	86	3	better	well	ADJ
atpp-1025	86	4	general	general	ADJ
atpp-1025	86	5	problem	problem	NOUN
atpp-1025	86	6	solvers	solver	NOUN
atpp-1025	86	7	when	when	SCONJ
atpp-1025	86	8	these	these	DET
atpp-1025	86	9	qualities	quality	NOUN
atpp-1025	86	10	are	be	AUX
atpp-1025	86	11	introduced	introduce	VERB
atpp-1025	86	12	and	and	CCONJ
atpp-1025	86	13	their	their	PRON
atpp-1025	86	14	application	application	NOUN
atpp-1025	86	15	is	be	AUX
atpp-1025	86	16	practiced	practice	VERB
atpp-1025	86	17	.	.	PUNCT
atpp-1025	87	1	many	many	ADJ
atpp-1025	87	2	attempts	attempt	NOUN
atpp-1025	87	3	at	at	ADP
atpp-1025	87	4	solving	solve	VERB
atpp-1025	87	5	mathematical	mathematical	ADJ
atpp-1025	87	6	problems	problem	NOUN
atpp-1025	87	7	depend	depend	VERB
atpp-1025	87	8	on	on	ADP
atpp-1025	87	9	the	the	DET
atpp-1025	87	10	prior	prior	ADJ
atpp-1025	87	11	mathematical	mathematical	ADJ
atpp-1025	87	12	knowledge	knowledge	NOUN
atpp-1025	87	13	of	of	ADP
atpp-1025	87	14	the	the	DET
atpp-1025	87	15	students	student	NOUN
atpp-1025	87	16	.	.	PUNCT
atpp-1025	88	1	when	when	SCONJ
atpp-1025	88	2	students	student	NOUN
atpp-1025	88	3	have	have	VERB
atpp-1025	88	4	a	a	DET
atpp-1025	88	5	good	good	ADJ
atpp-1025	88	6	sense	sense	NOUN
atpp-1025	88	7	of	of	ADP
atpp-1025	88	8	what	what	PRON
atpp-1025	88	9	they	they	PRON
atpp-1025	88	10	know	know	VERB
atpp-1025	88	11	,	,	PUNCT
atpp-1025	88	12	their	their	PRON
atpp-1025	88	13	efficiency	efficiency	NOUN
atpp-1025	88	14	as	as	ADP
atpp-1025	88	15	general	general	ADJ
atpp-1025	88	16	problem	problem	NOUN
atpp-1025	88	17	solvers	solver	NOUN
atpp-1025	88	18	increases	increase	VERB
atpp-1025	88	19	.	.	PUNCT
atpp-1025	89	1	in	in	ADP
atpp-1025	89	2	addition	addition	NOUN
atpp-1025	89	3	,	,	PUNCT
atpp-1025	89	4	students	student	NOUN
atpp-1025	89	5	learn	learn	VERB
atpp-1025	89	6	to	to	PART
atpp-1025	89	7	explain	explain	VERB
atpp-1025	89	8	how	how	SCONJ
atpp-1025	89	9	they	they	PRON
atpp-1025	89	10	solved	solve	VERB
atpp-1025	89	11	general	general	ADJ
atpp-1025	89	12	problems	problem	NOUN
atpp-1025	89	13	and	and	CCONJ
atpp-1025	89	14	constantly	constantly	ADV
atpp-1025	89	15	reflect	reflect	VERB
atpp-1025	89	16	upon	upon	SCONJ
atpp-1025	89	17	their	their	PRON
atpp-1025	89	18	thought	thought	NOUN
atpp-1025	89	19	processes	process	NOUN
atpp-1025	89	20	in	in	ADP
atpp-1025	89	21	a	a	DET
atpp-1025	89	22	community	community	NOUN
atpp-1025	89	23	of	of	ADP
atpp-1025	89	24	inquiry	inquiry	NOUN
atpp-1025	89	25	(	(	PUNCT
atpp-1025	89	26	carpenter	carpenter	NOUN
atpp-1025	89	27	&	&	CCONJ
atpp-1025	89	28	fennema	fennema	PROPN
atpp-1025	89	29	,	,	PUNCT
atpp-1025	89	30	1992	1992	NUM
atpp-1025	89	31	)	)	PUNCT
atpp-1025	89	32	.	.	PUNCT
atpp-1025	90	1	simply	simply	ADV
atpp-1025	90	2	put	put	VERB
atpp-1025	90	3	,	,	PUNCT
atpp-1025	90	4	a	a	DET
atpp-1025	90	5	student	student	NOUN
atpp-1025	90	6	who	who	PRON
atpp-1025	90	7	self	self	NOUN
atpp-1025	90	8	-	-	PUNCT
atpp-1025	90	9	regulates	regulate	VERB
atpp-1025	90	10	during	during	ADP
atpp-1025	90	11	a	a	DET
atpp-1025	90	12	general	general	ADJ
atpp-1025	90	13	problem	problem	NOUN
atpp-1025	90	14	solution	solution	NOUN
atpp-1025	90	15	is	be	AUX
atpp-1025	90	16	a	a	DET
atpp-1025	90	17	better	well	ADJ
atpp-1025	90	18	problem	problem	NOUN
atpp-1025	90	19	solver	solver	ADV
atpp-1025	90	20	than	than	ADP
atpp-1025	90	21	one	one	NUM
atpp-1025	90	22	who	who	PRON
atpp-1025	90	23	does	do	AUX
atpp-1025	90	24	not	not	PART
atpp-1025	90	25	keep	keep	VERB
atpp-1025	90	26	track	track	NOUN
atpp-1025	90	27	of	of	ADP
atpp-1025	90	28	what	what	PRON
atpp-1025	90	29	is	be	AUX
atpp-1025	90	30	happening	happen	VERB
atpp-1025	90	31	.	.	PUNCT
atpp-1025	91	1	student	student	NOUN
atpp-1025	91	2	beliefs	belief	NOUN
atpp-1025	91	3	,	,	PUNCT
atpp-1025	91	4	such	such	ADJ
atpp-1025	91	5	as	as	ADP
atpp-1025	91	6	the	the	DET
atpp-1025	91	7	belief	belief	NOUN
atpp-1025	91	8	that	that	SCONJ
atpp-1025	91	9	students	student	NOUN
atpp-1025	91	10	must	must	AUX
atpp-1025	91	11	memorize	memorize	VERB
atpp-1025	91	12	rules	rule	NOUN
atpp-1025	91	13	to	to	PART
atpp-1025	91	14	be	be	AUX
atpp-1025	91	15	successful	successful	ADJ
atpp-1025	91	16	in	in	ADP
atpp-1025	91	17	mathematics	mathematic	NOUN
atpp-1025	91	18	,	,	PUNCT
atpp-1025	91	19	should	should	AUX
atpp-1025	91	20	begin	begin	VERB
atpp-1025	91	21	to	to	PART
atpp-1025	91	22	change	change	VERB
atpp-1025	91	23	as	as	ADP
atpp-1025	91	24	their	their	PRON
atpp-1025	91	25	participation	participation	NOUN
atpp-1025	91	26	in	in	ADP
atpp-1025	91	27	the	the	DET
atpp-1025	91	28	community	community	NOUN
atpp-1025	91	29	matures	mature	NOUN
atpp-1025	91	30	(	(	PUNCT
atpp-1025	91	31	schoenfeld	schoenfeld	PROPN
atpp-1025	91	32	,	,	PUNCT
atpp-1025	91	33	1987	1987	NUM
atpp-1025	91	34	,	,	PUNCT
atpp-1025	91	35	1996	1996	NUM
atpp-1025	91	36	)	)	PUNCT
atpp-1025	91	37	.	.	PUNCT
atpp-1025	92	1	studies	study	NOUN
atpp-1025	92	2	showing	show	VERB
atpp-1025	92	3	outcomes	outcome	NOUN
atpp-1025	92	4	of	of	ADP
atpp-1025	92	5	classroom	classroom	NOUN
atpp-1025	92	6	communities	community	NOUN
atpp-1025	92	7	of	of	ADP
atpp-1025	92	8	inquiry	inquiry	NOUN
atpp-1025	92	9	there	there	PRON
atpp-1025	92	10	is	be	VERB
atpp-1025	92	11	very	very	ADV
atpp-1025	92	12	little	little	ADJ
atpp-1025	92	13	empirical	empirical	ADJ
atpp-1025	92	14	literature	literature	NOUN
atpp-1025	92	15	on	on	ADP
atpp-1025	92	16	mathematical	mathematical	ADJ
atpp-1025	92	17	communities	community	NOUN
atpp-1025	92	18	of	of	ADP
atpp-1025	92	19	inquiry	inquiry	NOUN
atpp-1025	92	20	.	.	PUNCT
atpp-1025	93	1	the	the	DET
atpp-1025	93	2	most	most	ADV
atpp-1025	93	3	relevant	relevant	ADJ
atpp-1025	93	4	literature	literature	NOUN
atpp-1025	93	5	incorporates	incorporate	VERB
atpp-1025	93	6	community	community	NOUN
atpp-1025	93	7	of	of	ADP
atpp-1025	93	8	inquiry	inquiry	NOUN
atpp-1025	93	9	characteristics	characteristic	NOUN
atpp-1025	93	10	as	as	ADP
atpp-1025	93	11	part	part	NOUN
atpp-1025	93	12	of	of	ADP
atpp-1025	93	13	socio	socio	NOUN
atpp-1025	93	14	-	-	PUNCT
atpp-1025	93	15	constructivist	constructivist	NOUN
atpp-1025	93	16	approaches	approach	NOUN
atpp-1025	93	17	to	to	ADP
atpp-1025	93	18	teaching	teaching	NOUN
atpp-1025	93	19	and	and	CCONJ
atpp-1025	93	20	learning	learn	VERB
atpp-1025	93	21	mathematics	mathematic	NOUN
atpp-1025	93	22	.	.	PUNCT
atpp-1025	94	1	this	this	DET
atpp-1025	94	2	literature	literature	NOUN
atpp-1025	94	3	is	be	AUX
atpp-1025	94	4	appropriate	appropriate	ADJ
atpp-1025	94	5	as	as	ADP
atpp-1025	94	6	a	a	DET
atpp-1025	94	7	frame	frame	NOUN
atpp-1025	94	8	for	for	ADP
atpp-1025	94	9	a	a	DET
atpp-1025	94	10	study	study	NOUN
atpp-1025	94	11	on	on	ADP
atpp-1025	94	12	mathematical	mathematical	ADJ
atpp-1025	94	13	communities	community	NOUN
atpp-1025	94	14	of	of	ADP
atpp-1025	94	15	inquiry	inquiry	NOUN
atpp-1025	94	16	because	because	SCONJ
atpp-1025	94	17	socio	socio	NOUN
atpp-1025	94	18	-	-	PUNCT
atpp-1025	94	19	constructivist	constructivist	NOUN
atpp-1025	94	20	approaches	approach	NOUN
atpp-1025	94	21	to	to	ADP
atpp-1025	94	22	teaching	teach	VERB
atpp-1025	94	23	share	share	NOUN
atpp-1025	94	24	many	many	ADJ
atpp-1025	94	25	theoretical	theoretical	ADJ
atpp-1025	94	26	underpinnings	underpinning	NOUN
atpp-1025	94	27	as	as	ADV
atpp-1025	94	28	well	well	ADV
atpp-1025	94	29	as	as	ADP
atpp-1025	94	30	pedagogical	pedagogical	ADJ
atpp-1025	94	31	approaches	approach	NOUN
atpp-1025	94	32	with	with	ADP
atpp-1025	94	33	community	community	NOUN
atpp-1025	94	34	of	of	ADP
atpp-1025	94	35	inquiry	inquiry	NOUN
atpp-1025	94	36	:	:	PUNCT
atpp-1025	94	37	1	1	NUM
atpp-1025	94	38	)	)	PUNCT
atpp-1025	94	39	“	"	PUNCT
atpp-1025	94	40	students	student	NOUN
atpp-1025	94	41	have	have	VERB
atpp-1025	94	42	frequent	frequent	ADJ
atpp-1025	94	43	opportunities	opportunity	NOUN
atpp-1025	94	44	to	to	PART
atpp-1025	94	45	discuss	discuss	VERB
atpp-1025	94	46	,	,	PUNCT
atpp-1025	94	47	critique	critique	NOUN
atpp-1025	94	48	,	,	PUNCT
atpp-1025	94	49	explain	explain	VERB
atpp-1025	94	50	,	,	PUNCT
atpp-1025	94	51	and	and	CCONJ
atpp-1025	94	52	,	,	PUNCT
atpp-1025	94	53	when	when	SCONJ
atpp-1025	94	54	necessary	necessary	ADJ
atpp-1025	94	55	,	,	PUNCT
atpp-1025	94	56	justify	justify	VERB
atpp-1025	94	57	their	their	PRON
atpp-1025	94	58	interpretations	interpretation	NOUN
atpp-1025	94	59	and	and	CCONJ
atpp-1025	94	60	solutions	solution	NOUN
atpp-1025	94	61	”	"	PUNCT
atpp-1025	94	62	(	(	PUNCT
atpp-1025	94	63	cobb	cobb	PROPN
atpp-1025	94	64	,	,	PUNCT
atpp-1025	94	65	wood	wood	NOUN
atpp-1025	94	66	,	,	PUNCT
atpp-1025	94	67	yackel	yackel	NOUN
atpp-1025	94	68	,	,	PUNCT
atpp-1025	94	69	&	&	CCONJ
atpp-1025	94	70	perlwitz	perlwitz	PROPN
atpp-1025	94	71	,	,	PUNCT
atpp-1025	94	72	1992	1992	NUM
atpp-1025	94	73	,	,	PUNCT
atpp-1025	94	74	p.485	p.485	NOUN
atpp-1025	94	75	)	)	PUNCT
atpp-1025	94	76	.	.	PUNCT
atpp-1025	95	1	2	2	X
atpp-1025	95	2	)	)	PUNCT
atpp-1025	95	3	“	"	PUNCT
atpp-1025	95	4	mathematics	mathematic	NOUN
atpp-1025	95	5	learning	learning	NOUN
atpp-1025	95	6	is	be	AUX
atpp-1025	95	7	a	a	DET
atpp-1025	95	8	process	process	NOUN
atpp-1025	95	9	in	in	ADP
atpp-1025	95	10	which	which	PRON
atpp-1025	95	11	students	student	NOUN
atpp-1025	95	12	reorganize	reorganize	VERB
atpp-1025	95	13	their	their	PRON
atpp-1025	95	14	activity	activity	NOUN
atpp-1025	95	15	to	to	PART
atpp-1025	95	16	resolve	resolve	VERB
atpp-1025	95	17	situations	situation	NOUN
atpp-1025	95	18	that	that	PRON
atpp-1025	95	19	they	they	PRON
atpp-1025	95	20	find	find	VERB
atpp-1025	95	21	problematic	problematic	ADJ
atpp-1025	95	22	”	"	PUNCT
atpp-1025	95	23	(	(	PUNCT
atpp-1025	95	24	cobb	cobb	PROPN
atpp-1025	95	25	,	,	PUNCT
atpp-1025	95	26	wood	wood	NOUN
atpp-1025	95	27	,	,	PUNCT
atpp-1025	95	28	yackel	yackel	NOUN
atpp-1025	95	29	,	,	PUNCT
atpp-1025	95	30	nichols	nichols	PROPN
atpp-1025	95	31	,	,	PUNCT
atpp-1025	95	32	et	et	PROPN
atpp-1025	95	33	al	al	PROPN
atpp-1025	95	34	.	.	PROPN
atpp-1025	95	35	,	,	PUNCT
atpp-1025	95	36	1991	1991	NUM
atpp-1025	95	37	,	,	PUNCT
atpp-1025	95	38	p.	p.	NOUN
atpp-1025	95	39	4	4	NUM
atpp-1025	95	40	)	)	PUNCT
atpp-1025	95	41	.	.	PUNCT
atpp-1025	96	1	3	3	X
atpp-1025	96	2	)	)	PUNCT
atpp-1025	96	3	learning	learning	NOUN
atpp-1025	96	4	occurs	occur	VERB
atpp-1025	96	5	when	when	SCONJ
atpp-1025	96	6	students	student	NOUN
atpp-1025	96	7	attempt	attempt	VERB
atpp-1025	96	8	to	to	PART
atpp-1025	96	9	make	make	VERB
atpp-1025	96	10	meaning	meaning	NOUN
atpp-1025	96	11	by	by	ADP
atpp-1025	96	12	actively	actively	ADV
atpp-1025	96	13	negotiating	negotiate	VERB
atpp-1025	96	14	with	with	ADP
atpp-1025	96	15	their	their	PRON
atpp-1025	96	16	peers	peer	NOUN
atpp-1025	96	17	(	(	PUNCT
atpp-1025	96	18	cobb	cobb	PROPN
atpp-1025	96	19	et	et	PROPN
atpp-1025	96	20	al	al	PROPN
atpp-1025	96	21	.	.	PROPN
atpp-1025	96	22	,	,	PUNCT
atpp-1025	96	23	1991	1991	NUM
atpp-1025	96	24	;	;	PUNCT
atpp-1025	96	25	fawcett	fawcett	PROPN
atpp-1025	96	26	,	,	PUNCT
atpp-1025	96	27	1938	1938	NUM
atpp-1025	96	28	;	;	PUNCT
atpp-1025	96	29	lampert	lampert	PROPN
atpp-1025	96	30	,	,	PUNCT
atpp-1025	96	31	1990	1990	NUM
atpp-1025	96	32	;	;	PUNCT
atpp-1025	96	33	schoenfeld	schoenfeld	PROPN
atpp-1025	96	34	,	,	PUNCT
atpp-1025	96	35	1987	1987	NUM
atpp-1025	96	36	,	,	PUNCT
atpp-1025	96	37	1996	1996	NUM
atpp-1025	96	38	)	)	PUNCT
atpp-1025	96	39	.	.	PUNCT
atpp-1025	97	1	4	4	X
atpp-1025	97	2	)	)	PUNCT
atpp-1025	97	3	“	"	PUNCT
atpp-1025	97	4	social	social	ADJ
atpp-1025	97	5	norms	norm	NOUN
atpp-1025	97	6	are	be	AUX
atpp-1025	97	7	not	not	PART
atpp-1025	97	8	static	static	ADJ
atpp-1025	97	9	prescriptions	prescription	NOUN
atpp-1025	97	10	or	or	CCONJ
atpp-1025	97	11	rules	rule	NOUN
atpp-1025	97	12	to	to	PART
atpp-1025	97	13	be	be	AUX
atpp-1025	97	14	followed	follow	VERB
atpp-1025	97	15	but	but	CCONJ
atpp-1025	97	16	are	be	AUX
atpp-1025	97	17	instead	instead	ADV
atpp-1025	97	18	continually	continually	ADV
atpp-1025	97	19	reconstructed	reconstruct	VERB
atpp-1025	97	20	in	in	ADP
atpp-1025	97	21	the	the	DET
atpp-1025	97	22	course	course	NOUN
atpp-1025	97	23	of	of	ADP
atpp-1025	97	24	classroom	classroom	NOUN
atpp-1025	97	25	interactions	interaction	NOUN
atpp-1025	97	26	”	"	PUNCT
atpp-1025	97	27	(	(	PUNCT
atpp-1025	97	28	cobb	cobb	PROPN
atpp-1025	97	29	,	,	PUNCT
atpp-1025	97	30	wood	wood	NOUN
atpp-1025	97	31	,	,	PUNCT
atpp-1025	97	32	yackel	yackel	NOUN
atpp-1025	97	33	,	,	PUNCT
atpp-1025	97	34	nichols	nichols	PROPN
atpp-1025	97	35	,	,	PUNCT
atpp-1025	97	36	et	et	PROPN
atpp-1025	97	37	al	al	PROPN
atpp-1025	97	38	.	.	PROPN
atpp-1025	97	39	,	,	PUNCT
atpp-1025	97	40	1991	1991	NUM
atpp-1025	97	41	,	,	PUNCT
atpp-1025	97	42	p.	p.	NOUN
atpp-1025	97	43	7	7	NUM
atpp-1025	97	44	)	)	PUNCT
atpp-1025	97	45	.	.	PUNCT
atpp-1025	98	1	5	5	X
atpp-1025	98	2	)	)	PUNCT
atpp-1025	98	3	students	student	NOUN
atpp-1025	98	4	create	create	VERB
atpp-1025	98	5	mathematics	mathematic	NOUN
atpp-1025	98	6	as	as	ADP
atpp-1025	98	7	mathematicians	mathematician	NOUN
atpp-1025	98	8	(	(	PUNCT
atpp-1025	98	9	cobb	cobb	PROPN
atpp-1025	98	10	et	et	PROPN
atpp-1025	98	11	al	al	PROPN
atpp-1025	98	12	.	.	PROPN
atpp-1025	98	13	,	,	PUNCT
atpp-1025	98	14	1991	1991	NUM
atpp-1025	98	15	;	;	PUNCT
atpp-1025	98	16	fawcett	fawcett	PROPN
atpp-1025	98	17	,	,	PUNCT
atpp-1025	98	18	1938	1938	NUM
atpp-1025	98	19	;	;	PUNCT
atpp-1025	98	20	lampert	lampert	PROPN
atpp-1025	98	21	,	,	PUNCT
atpp-1025	98	22	1990	1990	NUM
atpp-1025	98	23	;	;	PUNCT
atpp-1025	98	24	schoenfeld	schoenfeld	PROPN
atpp-1025	98	25	,	,	PUNCT
atpp-1025	98	26	1987	1987	NUM
atpp-1025	98	27	,	,	PUNCT
atpp-1025	98	28	1996	1996	NUM
atpp-1025	98	29	)	)	PUNCT
atpp-1025	98	30	.	.	PUNCT
atpp-1025	99	1	in	in	ADP
atpp-1025	99	2	a	a	DET
atpp-1025	99	3	1991	1991	NUM
atpp-1025	99	4	study	study	NOUN
atpp-1025	99	5	,	,	PUNCT
atpp-1025	99	6	cobb	cobb	PROPN
atpp-1025	99	7	,	,	PUNCT
atpp-1025	99	8	et	et	PROPN
atpp-1025	99	9	al	al	PROPN
atpp-1025	99	10	.	.	PROPN
atpp-1025	99	11	designed	design	VERB
atpp-1025	99	12	instruments	instrument	NOUN
atpp-1025	99	13	to	to	PART
atpp-1025	99	14	assess	assess	VERB
atpp-1025	99	15	mathematics	mathematic	NOUN
atpp-1025	99	16	achievement	achievement	NOUN
atpp-1025	99	17	,	,	PUNCT
atpp-1025	99	18	computational	computational	ADJ
atpp-1025	99	19	proficiency	proficiency	NOUN
atpp-1025	99	20	,	,	PUNCT
atpp-1025	99	21	beliefs	belief	NOUN
atpp-1025	99	22	about	about	ADP
atpp-1025	99	23	success	success	NOUN
atpp-1025	99	24	in	in	ADP
atpp-1025	99	25	mathematics	mathematic	NOUN
atpp-1025	99	26	,	,	PUNCT
atpp-1025	99	27	and	and	CCONJ
atpp-1025	99	28	motivation	motivation	NOUN
atpp-1025	99	29	to	to	PART
atpp-1025	99	30	study	study	VERB
atpp-1025	99	31	mathematics	mathematic	NOUN
atpp-1025	99	32	.	.	PUNCT
atpp-1025	100	1	ten	ten	NUM
atpp-1025	100	2	second	second	ADJ
atpp-1025	100	3	-	-	PUNCT
atpp-1025	100	4	grade	grade	NOUN
atpp-1025	100	5	classes	class	NOUN
atpp-1025	100	6	(	(	PUNCT
atpp-1025	100	7	project	project	NOUN
atpp-1025	100	8	students	student	NOUN
atpp-1025	100	9	)	)	PUNCT
atpp-1025	100	10	were	be	AUX
atpp-1025	100	11	taught	teach	VERB
atpp-1025	100	12	mathematics	mathematic	NOUN
atpp-1025	100	13	using	use	VERB
atpp-1025	100	14	an	an	DET
atpp-1025	100	15	inquiry	inquiry	NOUN
atpp-1025	100	16	approach	approach	NOUN
atpp-1025	100	17	while	while	SCONJ
atpp-1025	100	18	eight	eight	NUM
atpp-1025	100	19	classes	class	NOUN
atpp-1025	100	20	(	(	PUNCT
atpp-1025	100	21	non	non	ADJ
atpp-1025	100	22	-	-	ADJ
atpp-1025	100	23	project	project	ADJ
atpp-1025	100	24	students	student	NOUN
atpp-1025	100	25	)	)	PUNCT
atpp-1025	100	26	were	be	AUX
atpp-1025	100	27	taught	teach	VERB
atpp-1025	100	28	in	in	ADP
atpp-1025	100	29	a	a	DET
atpp-1025	100	30	traditional	traditional	ADJ
atpp-1025	100	31	manner	manner	NOUN
atpp-1025	100	32	.	.	PUNCT
atpp-1025	101	1	the	the	DET
atpp-1025	101	2	instruments	instrument	NOUN
atpp-1025	101	3	were	be	AUX
atpp-1025	101	4	administered	administer	VERB
atpp-1025	101	5	at	at	ADP
atpp-1025	101	6	the	the	DET
atpp-1025	101	7	end	end	NOUN
atpp-1025	101	8	of	of	ADP
atpp-1025	101	9	a	a	DET
atpp-1025	101	10	year	year	NOUN
atpp-1025	101	11	.	.	PUNCT
atpp-1025	102	1	this	this	DET
atpp-1025	102	2	study	study	NOUN
atpp-1025	102	3	indicated	indicate	VERB
atpp-1025	102	4	that	that	SCONJ
atpp-1025	102	5	the	the	DET
atpp-1025	102	6	project	project	NOUN
atpp-1025	102	7	students	student	NOUN
atpp-1025	102	8	retained	retain	VERB
atpp-1025	102	9	more	more	ADJ
atpp-1025	102	10	content	content	NOUN
atpp-1025	102	11	,	,	PUNCT
atpp-1025	102	12	constructed	construct	VERB
atpp-1025	102	13	more	more	ADJ
atpp-1025	102	14	advanced	advanced	ADJ
atpp-1025	102	15	concepts	concept	NOUN
atpp-1025	102	16	,	,	PUNCT
atpp-1025	102	17	cooperated	cooperate	VERB
atpp-1025	102	18	with	with	ADP
atpp-1025	102	19	their	their	PRON
atpp-1025	102	20	peers	peer	NOUN
atpp-1025	102	21	to	to	ADP
atpp-1025	102	22	a	a	DET
atpp-1025	102	23	greater	great	ADJ
atpp-1025	102	24	extent	extent	NOUN
atpp-1025	102	25	,	,	PUNCT
atpp-1025	102	26	and	and	CCONJ
atpp-1025	102	27	did	do	VERB
atpp-1025	102	28	better	well	ADV
atpp-1025	102	29	on	on	ADP
atpp-1025	102	30	challenging	challenging	ADJ
atpp-1025	102	31	tasks	task	NOUN
atpp-1025	102	32	than	than	ADP
atpp-1025	102	33	the	the	DET
atpp-1025	102	34	non	non	ADJ
atpp-1025	102	35	-	-	ADJ
atpp-1025	102	36	project	project	ADJ
atpp-1025	102	37	students	student	NOUN
atpp-1025	102	38	.	.	PUNCT
atpp-1025	103	1	the	the	DET
atpp-1025	103	2	amount	amount	NOUN
atpp-1025	103	3	of	of	ADP
atpp-1025	103	4	time	time	NOUN
atpp-1025	103	5	to	to	PART
atpp-1025	103	6	teach	teach	VERB
atpp-1025	103	7	the	the	DET
atpp-1025	103	8	concepts	concept	NOUN
atpp-1025	103	9	of	of	ADP
atpp-1025	103	10	the	the	DET
atpp-1025	103	11	curriculum	curriculum	NOUN
atpp-1025	103	12	using	use	VERB
atpp-1025	103	13	the	the	DET
atpp-1025	103	14	inquiry	inquiry	NOUN
atpp-1025	103	15	approach	approach	NOUN
atpp-1025	103	16	was	be	AUX
atpp-1025	103	17	not	not	PART
atpp-1025	103	18	a	a	DET
atpp-1025	103	19	concern	concern	NOUN
atpp-1025	103	20	mentioned	mention	VERB
atpp-1025	103	21	in	in	ADP
atpp-1025	103	22	this	this	DET
atpp-1025	103	23	study	study	NOUN
atpp-1025	103	24	.	.	PUNCT
atpp-1025	104	1	students	student	NOUN
atpp-1025	104	2	in	in	ADP
atpp-1025	104	3	the	the	DET
atpp-1025	104	4	project	project	NOUN
atpp-1025	104	5	classes	class	NOUN
atpp-1025	104	6	believed	believe	VERB
atpp-1025	104	7	success	success	NOUN
atpp-1025	104	8	in	in	ADP
atpp-1025	104	9	mathematics	mathematic	NOUN
atpp-1025	104	10	comes	come	VERB
atpp-1025	104	11	from	from	ADP
atpp-1025	104	12	attempting	attempt	VERB
atpp-1025	104	13	to	to	PART
atpp-1025	104	14	understand	understand	VERB
atpp-1025	104	15	mathematics	mathematic	NOUN
atpp-1025	104	16	while	while	SCONJ
atpp-1025	104	17	communicating	communicate	VERB
atpp-1025	104	18	with	with	ADP
atpp-1025	104	19	their	their	PRON
atpp-1025	104	20	peers	peer	NOUN
atpp-1025	104	21	about	about	ADP
atpp-1025	104	22	their	their	PRON
atpp-1025	104	23	thinking	thinking	NOUN
atpp-1025	104	24	.	.	PUNCT
atpp-1025	105	1	in	in	ADP
atpp-1025	105	2	a	a	DET
atpp-1025	105	3	follow	follow	VERB
atpp-1025	105	4	-	-	PUNCT
atpp-1025	105	5	up	up	ADP
atpp-1025	105	6	study	study	NOUN
atpp-1025	105	7	cobb	cobb	PROPN
atpp-1025	105	8	,	,	PUNCT
atpp-1025	105	9	wood	wood	NOUN
atpp-1025	105	10	,	,	PUNCT
atpp-1025	105	11	yackel	yackel	NOUN
atpp-1025	105	12	,	,	PUNCT
atpp-1025	105	13	and	and	CCONJ
atpp-1025	105	14	perlwitz	perlwitz	NOUN
atpp-1025	105	15	(	(	PUNCT
atpp-1025	105	16	1992	1992	NUM
atpp-1025	105	17	)	)	PUNCT
atpp-1025	105	18	tested	test	VERB
atpp-1025	105	19	former	former	ADJ
atpp-1025	105	20	second	second	ADJ
atpp-1025	105	21	grade	grade	NOUN
atpp-1025	105	22	students	student	NOUN
atpp-1025	105	23	from	from	ADP
atpp-1025	105	24	five	five	NUM
atpp-1025	105	25	inquiry	inquiry	NOUN
atpp-1025	105	26	classes	class	NOUN
atpp-1025	105	27	and	and	CCONJ
atpp-1025	105	28	six	six	NUM
atpp-1025	105	29	traditional	traditional	ADJ
atpp-1025	105	30	classes	class	NOUN
atpp-1025	105	31	.	.	PUNCT
atpp-1025	106	1	all	all	DET
atpp-1025	106	2	students	student	NOUN
atpp-1025	106	3	were	be	AUX
atpp-1025	106	4	in	in	ADP
atpp-1025	106	5	traditional	traditional	ADJ
atpp-1025	106	6	third	third	ADJ
atpp-1025	106	7	grade	grade	NOUN
atpp-1025	106	8	classes	class	NOUN
atpp-1025	106	9	.	.	PUNCT
atpp-1025	107	1	scores	score	NOUN
atpp-1025	107	2	on	on	ADP
atpp-1025	107	3	standard	standard	ADJ
atpp-1025	107	4	achievement	achievement	NOUN
atpp-1025	107	5	tests	test	VERB
atpp-1025	107	6	together	together	ADV
atpp-1025	107	7	with	with	ADP
atpp-1025	107	8	results	result	NOUN
atpp-1025	107	9	from	from	ADP
atpp-1025	107	10	instruments	instrument	NOUN
atpp-1025	107	11	designed	design	VERB
atpp-1025	107	12	to	to	PART
atpp-1025	107	13	assess	assess	VERB
atpp-1025	107	14	computational	computational	ADJ
atpp-1025	107	15	development	development	NOUN
atpp-1025	107	16	,	,	PUNCT
atpp-1025	107	17	personal	personal	ADJ
atpp-1025	107	18	goals	goal	NOUN
atpp-1025	107	19	in	in	ADP
atpp-1025	107	20	mathematics	mathematic	NOUN
atpp-1025	107	21	,	,	PUNCT
atpp-1025	107	22	and	and	CCONJ
atpp-1025	107	23	beliefs	belief	NOUN
atpp-1025	107	24	about	about	ADP
atpp-1025	107	25	mathematical	mathematical	ADJ
atpp-1025	107	26	success	success	NOUN
atpp-1025	107	27	were	be	AUX
atpp-1025	107	28	used	use	VERB
atpp-1025	107	29	to	to	PART
atpp-1025	107	30	compare	compare	VERB
atpp-1025	107	31	students	student	NOUN
atpp-1025	107	32	at	at	ADP
atpp-1025	107	33	the	the	DET
atpp-1025	107	34	end	end	NOUN
atpp-1025	107	35	of	of	ADP
atpp-1025	107	36	the	the	DET
atpp-1025	107	37	year	year	NOUN
atpp-1025	107	38	.	.	PUNCT
atpp-1025	108	1	the	the	DET
atpp-1025	108	2	inquiry	inquiry	NOUN
atpp-1025	108	3	students	student	NOUN
atpp-1025	108	4	maintained	maintain	VERB
atpp-1025	108	5	their	their	PRON
atpp-1025	108	6	edge	edge	NOUN
atpp-1025	108	7	in	in	ADP
atpp-1025	108	8	conceptual	conceptual	ADJ
atpp-1025	108	9	understanding	understanding	NOUN
atpp-1025	108	10	and	and	CCONJ
atpp-1025	108	11	mathematical	mathematical	ADJ
atpp-1025	108	12	problem	problem	NOUN
atpp-1025	108	13	solving	solving	NOUN
atpp-1025	108	14	.	.	PUNCT
atpp-1025	109	1	beliefs	belief	NOUN
atpp-1025	109	2	of	of	ADP
atpp-1025	109	3	the	the	DET
atpp-1025	109	4	inquiry	inquiry	NOUN
atpp-1025	109	5	students	student	NOUN
atpp-1025	109	6	,	,	PUNCT
atpp-1025	109	7	that	that	SCONJ
atpp-1025	109	8	success	success	NOUN
atpp-1025	109	9	in	in	ADP
atpp-1025	109	10	mathematics	mathematic	NOUN
atpp-1025	109	11	comes	come	VERB
atpp-1025	109	12	from	from	ADP
atpp-1025	109	13	attempting	attempt	VERB
atpp-1025	109	14	to	to	PART
atpp-1025	109	15	understand	understand	VERB
atpp-1025	109	16	concepts	concept	NOUN
atpp-1025	109	17	and	and	CCONJ
atpp-1025	109	18	from	from	ADP
atpp-1025	109	19	talking	talk	VERB
atpp-1025	109	20	with	with	ADP
atpp-1025	109	21	their	their	PRON
atpp-1025	109	22	classmates	classmate	NOUN
atpp-1025	109	23	about	about	ADP
atpp-1025	109	24	their	their	PRON
atpp-1025	109	25	thinking	thinking	NOUN
atpp-1025	109	26	,	,	PUNCT
atpp-1025	109	27	persisted	persist	VERB
atpp-1025	109	28	even	even	ADV
atpp-1025	109	29	after	after	ADP
atpp-1025	109	30	a	a	DET
atpp-1025	109	31	year	year	NOUN
atpp-1025	109	32	of	of	ADP
atpp-1025	109	33	traditional	traditional	ADJ
atpp-1025	109	34	instruction	instruction	NOUN
atpp-1025	109	35	.	.	PUNCT
atpp-1025	110	1	an	an	DET
atpp-1025	110	2	early	early	ADJ
atpp-1025	110	3	pretest	pret	ADJ
atpp-1025	110	4	-	-	PUNCT
atpp-1025	110	5	posttest	posttest	ADJ
atpp-1025	110	6	,	,	PUNCT
atpp-1025	110	7	quasi	quasi	ADJ
atpp-1025	110	8	-	-	ADJ
atpp-1025	110	9	experimental	experimental	ADJ
atpp-1025	110	10	study	study	NOUN
atpp-1025	110	11	conducted	conduct	VERB
atpp-1025	110	12	by	by	ADP
atpp-1025	110	13	fawcett	fawcett	PROPN
atpp-1025	110	14	(	(	PUNCT
atpp-1025	110	15	1938	1938	NUM
atpp-1025	110	16	)	)	PUNCT
atpp-1025	110	17	showed	show	VERB
atpp-1025	110	18	the	the	DET
atpp-1025	110	19	viability	viability	NOUN
atpp-1025	110	20	of	of	ADP
atpp-1025	110	21	the	the	DET
atpp-1025	110	22	inquiry	inquiry	NOUN
atpp-1025	110	23	approach	approach	NOUN
atpp-1025	110	24	.	.	PUNCT
atpp-1025	111	1	several	several	ADJ
atpp-1025	111	2	geometry	geometry	NOUN
atpp-1025	111	3	classrooms	classroom	NOUN
atpp-1025	111	4	totaling	total	VERB
atpp-1025	111	5	seventy	seventy	NUM
atpp-1025	111	6	-	-	PUNCT
atpp-1025	111	7	five	five	NUM
atpp-1025	111	8	students	student	NOUN
atpp-1025	111	9	were	be	AUX
atpp-1025	111	10	taught	teach	VERB
atpp-1025	111	11	by	by	ADP
atpp-1025	111	12	the	the	DET
atpp-1025	111	13	traditional	traditional	ADJ
atpp-1025	111	14	method	method	NOUN
atpp-1025	111	15	in	in	ADP
atpp-1025	111	16	two	two	NUM
atpp-1025	111	17	schools	school	NOUN
atpp-1025	111	18	;	;	PUNCT
atpp-1025	111	19	these	these	DET
atpp-1025	111	20	students	student	NOUN
atpp-1025	111	21	became	become	VERB
atpp-1025	111	22	the	the	DET
atpp-1025	111	23	control	control	NOUN
atpp-1025	111	24	group	group	NOUN
atpp-1025	111	25	.	.	PUNCT
atpp-1025	112	1	in	in	ADP
atpp-1025	112	2	the	the	DET
atpp-1025	112	3	experimental	experimental	ADJ
atpp-1025	112	4	group	group	NOUN
atpp-1025	112	5	,	,	PUNCT
atpp-1025	112	6	a	a	DET
atpp-1025	112	7	class	class	NOUN
atpp-1025	112	8	of	of	ADP
atpp-1025	112	9	25	25	NUM
atpp-1025	112	10	students	student	NOUN
atpp-1025	112	11	determined	determine	VERB
atpp-1025	112	12	the	the	DET
atpp-1025	112	13	pace	pace	NOUN
atpp-1025	112	14	and	and	CCONJ
atpp-1025	112	15	sequence	sequence	NOUN
atpp-1025	112	16	of	of	ADP
atpp-1025	112	17	their	their	PRON
atpp-1025	112	18	learning	learning	NOUN
atpp-1025	112	19	,	,	PUNCT
atpp-1025	112	20	constructed	construct	VERB
atpp-1025	112	21	their	their	PRON
atpp-1025	112	22	own	own	ADJ
atpp-1025	112	23	definitions	definition	NOUN
atpp-1025	112	24	,	,	PUNCT
atpp-1025	112	25	and	and	CCONJ
atpp-1025	112	26	questioned	question	VERB
atpp-1025	112	27	assumptions	assumption	NOUN
atpp-1025	112	28	.	.	PUNCT
atpp-1025	113	1	pretest	pretest	NOUN
atpp-1025	113	2	scores	score	NOUN
atpp-1025	113	3	were	be	AUX
atpp-1025	113	4	the	the	DET
atpp-1025	113	5	same	same	ADJ
atpp-1025	113	6	for	for	ADP
atpp-1025	113	7	all	all	DET
atpp-1025	113	8	groups	group	NOUN
atpp-1025	113	9	,	,	PUNCT
atpp-1025	113	10	but	but	CCONJ
atpp-1025	113	11	the	the	DET
atpp-1025	113	12	experimental	experimental	ADJ
atpp-1025	113	13	group	group	NOUN
atpp-1025	113	14	scored	score	VERB
atpp-1025	113	15	significantly	significantly	ADV
atpp-1025	113	16	better	well	ADV
atpp-1025	113	17	on	on	ADP
atpp-1025	113	18	the	the	DET
atpp-1025	113	19	posttest	postt	ADJ
atpp-1025	113	20	analytic	analytic	ADJ
atpp-1025	113	21	teaching	teaching	NOUN
atpp-1025	113	22	and	and	CCONJ
atpp-1025	113	23	philosophical	philosophical	ADJ
atpp-1025	113	24	praxis	praxis	ADJ
atpp-1025	113	25	vol	vol	NOUN
atpp-1025	113	26	.	.	PROPN
atpp-1025	113	27	29	29	NUM
atpp-1025	113	28	no.1	no.1	X
atpp-1025	113	29	53	53	NUM
atpp-1025	113	30	despite	despite	SCONJ
atpp-1025	113	31	the	the	DET
atpp-1025	113	32	fact	fact	NOUN
atpp-1025	113	33	that	that	SCONJ
atpp-1025	113	34	the	the	DET
atpp-1025	113	35	experimental	experimental	ADJ
atpp-1025	113	36	group	group	NOUN
atpp-1025	113	37	only	only	ADV
atpp-1025	113	38	covered	cover	VERB
atpp-1025	113	39	half	half	NOUN
atpp-1025	113	40	of	of	ADP
atpp-1025	113	41	the	the	DET
atpp-1025	113	42	curriculum	curriculum	NOUN
atpp-1025	113	43	.	.	PUNCT
atpp-1025	114	1	two	two	NUM
atpp-1025	114	2	of	of	ADP
atpp-1025	114	3	fawcett	fawcett	PROPN
atpp-1025	114	4	’s	’s	PART
atpp-1025	114	5	(	(	PUNCT
atpp-1025	114	6	1938	1938	NUM
atpp-1025	114	7	)	)	PUNCT
atpp-1025	114	8	conclusions	conclusion	NOUN
atpp-1025	114	9	were	be	AUX
atpp-1025	114	10	that	that	SCONJ
atpp-1025	114	11	“	"	PUNCT
atpp-1025	114	12	following	follow	VERB
atpp-1025	114	13	these	these	DET
atpp-1025	114	14	procedures	procedure	NOUN
atpp-1025	114	15	improves	improve	VERB
atpp-1025	114	16	reflective	reflective	ADJ
atpp-1025	114	17	thinking	thinking	NOUN
atpp-1025	114	18	”	"	PUNCT
atpp-1025	114	19	and	and	CCONJ
atpp-1025	114	20	that	that	SCONJ
atpp-1025	114	21	“	"	PUNCT
atpp-1025	114	22	the	the	DET
atpp-1025	114	23	usual	usual	ADJ
atpp-1025	114	24	formal	formal	ADJ
atpp-1025	114	25	course	course	NOUN
atpp-1025	114	26	in	in	ADP
atpp-1025	114	27	demonstrative	demonstrative	ADJ
atpp-1025	114	28	geometry	geometry	NOUN
atpp-1025	114	29	does	do	AUX
atpp-1025	114	30	not	not	PART
atpp-1025	114	31	improve	improve	VERB
atpp-1025	114	32	the	the	DET
atpp-1025	114	33	reflective	reflective	ADJ
atpp-1025	114	34	thinking	thinking	NOUN
atpp-1025	114	35	of	of	ADP
atpp-1025	114	36	pupils	pupil	NOUN
atpp-1025	114	37	”	"	PUNCT
atpp-1025	114	38	(	(	PUNCT
atpp-1025	114	39	p.	p.	NOUN
atpp-1025	114	40	119	119	NUM
atpp-1025	114	41	)	)	PUNCT
atpp-1025	114	42	.	.	PUNCT
atpp-1025	115	1	lampert	lampert	PROPN
atpp-1025	115	2	(	(	PUNCT
atpp-1025	115	3	1990	1990	NUM
atpp-1025	115	4	)	)	PUNCT
atpp-1025	115	5	conducted	conduct	VERB
atpp-1025	115	6	a	a	DET
atpp-1025	115	7	classic	classic	ADJ
atpp-1025	115	8	qualitative	qualitative	NOUN
atpp-1025	115	9	,	,	PUNCT
atpp-1025	115	10	first	first	ADJ
atpp-1025	115	11	-	-	PUNCT
atpp-1025	115	12	person	person	NOUN
atpp-1025	115	13	study	study	NOUN
atpp-1025	115	14	indicating	indicate	VERB
atpp-1025	115	15	how	how	SCONJ
atpp-1025	115	16	a	a	DET
atpp-1025	115	17	middle	middle	ADJ
atpp-1025	115	18	school	school	NOUN
atpp-1025	115	19	classroom	classroom	NOUN
atpp-1025	115	20	could	could	AUX
atpp-1025	115	21	be	be	AUX
atpp-1025	115	22	set	set	VERB
atpp-1025	115	23	-	-	PUNCT
atpp-1025	115	24	up	up	NOUN
atpp-1025	115	25	in	in	ADP
atpp-1025	115	26	a	a	DET
atpp-1025	115	27	community	community	NOUN
atpp-1025	115	28	of	of	ADP
atpp-1025	115	29	inquiry	inquiry	NOUN
atpp-1025	115	30	.	.	PUNCT
atpp-1025	116	1	she	she	PRON
atpp-1025	116	2	found	find	VERB
atpp-1025	116	3	many	many	ADJ
atpp-1025	116	4	examples	example	NOUN
atpp-1025	116	5	of	of	ADP
atpp-1025	116	6	how	how	SCONJ
atpp-1025	116	7	students	student	NOUN
atpp-1025	116	8	tried	try	VERB
atpp-1025	116	9	to	to	PART
atpp-1025	116	10	use	use	VERB
atpp-1025	116	11	irrational	irrational	ADJ
atpp-1025	116	12	strategies	strategy	NOUN
atpp-1025	116	13	to	to	PART
atpp-1025	116	14	have	have	VERB
atpp-1025	116	15	their	their	PRON
atpp-1025	116	16	assertions	assertion	NOUN
atpp-1025	116	17	accepted	accept	VERB
atpp-1025	116	18	by	by	ADP
atpp-1025	116	19	other	other	ADJ
atpp-1025	116	20	students	student	NOUN
atpp-1025	116	21	.	.	PUNCT
atpp-1025	117	1	lampert	lampert	PROPN
atpp-1025	117	2	used	use	VERB
atpp-1025	117	3	the	the	DET
atpp-1025	117	4	work	work	NOUN
atpp-1025	117	5	of	of	ADP
atpp-1025	117	6	polya	polya	NOUN
atpp-1025	117	7	(	(	PUNCT
atpp-1025	117	8	1954	1954	NUM
atpp-1025	117	9	)	)	PUNCT
atpp-1025	117	10	and	and	CCONJ
atpp-1025	117	11	lakatos	lakato	NOUN
atpp-1025	117	12	(	(	PUNCT
atpp-1025	117	13	1976	1976	NUM
atpp-1025	117	14	)	)	PUNCT
atpp-1025	117	15	to	to	PART
atpp-1025	117	16	identify	identify	VERB
atpp-1025	117	17	how	how	SCONJ
atpp-1025	117	18	to	to	PART
atpp-1025	117	19	establish	establish	VERB
atpp-1025	117	20	a	a	DET
atpp-1025	117	21	culture	culture	NOUN
atpp-1025	117	22	of	of	ADP
atpp-1025	117	23	mathematicians	mathematician	NOUN
atpp-1025	117	24	in	in	ADP
atpp-1025	117	25	the	the	DET
atpp-1025	117	26	classroom	classroom	NOUN
atpp-1025	117	27	and	and	CCONJ
atpp-1025	117	28	bring	bring	VERB
atpp-1025	117	29	students	student	NOUN
atpp-1025	117	30	to	to	ADP
atpp-1025	117	31	the	the	DET
atpp-1025	117	32	realization	realization	NOUN
atpp-1025	117	33	of	of	ADP
atpp-1025	117	34	what	what	PRON
atpp-1025	117	35	it	it	PRON
atpp-1025	117	36	means	mean	VERB
atpp-1025	117	37	to	to	PART
atpp-1025	117	38	do	do	VERB
atpp-1025	117	39	mathematics	mathematic	NOUN
atpp-1025	117	40	.	.	PUNCT
atpp-1025	118	1	her	her	PRON
atpp-1025	118	2	students	student	NOUN
atpp-1025	118	3	studied	study	VERB
atpp-1025	118	4	exponents	exponent	NOUN
atpp-1025	118	5	like	like	ADP
atpp-1025	118	6	mathematicians	mathematician	NOUN
atpp-1025	118	7	by	by	ADP
atpp-1025	118	8	making	make	VERB
atpp-1025	118	9	conjectures	conjecture	NOUN
atpp-1025	118	10	and	and	CCONJ
atpp-1025	118	11	dialoguing	dialogue	VERB
atpp-1025	118	12	about	about	ADP
atpp-1025	118	13	their	their	PRON
atpp-1025	118	14	thoughts	thought	NOUN
atpp-1025	118	15	.	.	PUNCT
atpp-1025	119	1	in	in	ADP
atpp-1025	119	2	her	her	PRON
atpp-1025	119	3	role	role	NOUN
atpp-1025	119	4	as	as	ADP
atpp-1025	119	5	the	the	DET
atpp-1025	119	6	teacher	teacher	NOUN
atpp-1025	119	7	,	,	PUNCT
atpp-1025	119	8	lampert	lampert	PROPN
atpp-1025	119	9	would	would	AUX
atpp-1025	119	10	at	at	ADP
atpp-1025	119	11	different	different	ADJ
atpp-1025	119	12	times	time	NOUN
atpp-1025	119	13	tell	tell	VERB
atpp-1025	119	14	students	student	NOUN
atpp-1025	119	15	whether	whether	SCONJ
atpp-1025	119	16	their	their	PRON
atpp-1025	119	17	behavior	behavior	NOUN
atpp-1025	119	18	was	be	AUX
atpp-1025	119	19	appropriate	appropriate	ADJ
atpp-1025	119	20	or	or	CCONJ
atpp-1025	119	21	inappropriate	inappropriate	ADJ
atpp-1025	119	22	,	,	PUNCT
atpp-1025	119	23	model	model	ADJ
atpp-1025	119	24	appropriate	appropriate	ADJ
atpp-1025	119	25	ways	way	NOUN
atpp-1025	119	26	of	of	ADP
atpp-1025	119	27	behaving	behave	VERB
atpp-1025	119	28	,	,	PUNCT
atpp-1025	119	29	or	or	CCONJ
atpp-1025	119	30	do	do	VERB
atpp-1025	119	31	mathematics	mathematic	NOUN
atpp-1025	119	32	with	with	ADP
atpp-1025	119	33	her	her	PRON
atpp-1025	119	34	students	student	NOUN
atpp-1025	119	35	.	.	PUNCT
atpp-1025	120	1	the	the	DET
atpp-1025	120	2	list	list	NOUN
atpp-1025	120	3	of	of	ADP
atpp-1025	120	4	seven	seven	NUM
atpp-1025	120	5	characteristics	characteristic	NOUN
atpp-1025	120	6	of	of	ADP
atpp-1025	120	7	a	a	DET
atpp-1025	120	8	community	community	NOUN
atpp-1025	120	9	of	of	ADP
atpp-1025	120	10	mathematical	mathematical	ADJ
atpp-1025	120	11	inquiry	inquiry	NOUN
atpp-1025	120	12	based	base	VERB
atpp-1025	120	13	on	on	ADP
atpp-1025	120	14	current	current	ADJ
atpp-1025	120	15	literature	literature	NOUN
atpp-1025	120	16	establishes	establish	VERB
atpp-1025	120	17	a	a	DET
atpp-1025	120	18	starting	starting	NOUN
atpp-1025	120	19	point	point	NOUN
atpp-1025	120	20	for	for	ADP
atpp-1025	120	21	determining	determine	VERB
atpp-1025	120	22	if	if	SCONJ
atpp-1025	120	23	a	a	DET
atpp-1025	120	24	community	community	NOUN
atpp-1025	120	25	of	of	ADP
atpp-1025	120	26	inquiry	inquiry	NOUN
atpp-1025	120	27	exists	exist	VERB
atpp-1025	120	28	.	.	PUNCT
atpp-1025	121	1	since	since	SCONJ
atpp-1025	121	2	additional	additional	ADJ
atpp-1025	121	3	characteristics	characteristic	NOUN
atpp-1025	121	4	could	could	AUX
atpp-1025	121	5	certainly	certainly	ADV
atpp-1025	121	6	be	be	AUX
atpp-1025	121	7	extracted	extract	VERB
atpp-1025	121	8	from	from	ADP
atpp-1025	121	9	the	the	DET
atpp-1025	121	10	literature	literature	NOUN
atpp-1025	121	11	,	,	PUNCT
atpp-1025	121	12	there	there	PRON
atpp-1025	121	13	is	be	VERB
atpp-1025	121	14	no	no	DET
atpp-1025	121	15	claim	claim	NOUN
atpp-1025	121	16	that	that	SCONJ
atpp-1025	121	17	this	this	DET
atpp-1025	121	18	list	list	NOUN
atpp-1025	121	19	is	be	AUX
atpp-1025	121	20	exhaustive	exhaustive	ADJ
atpp-1025	121	21	.	.	PUNCT
atpp-1025	122	1	each	each	PRON
atpp-1025	122	2	of	of	ADP
atpp-1025	122	3	the	the	DET
atpp-1025	122	4	characteristics	characteristic	NOUN
atpp-1025	122	5	can	can	AUX
atpp-1025	122	6	be	be	AUX
atpp-1025	122	7	observed	observe	VERB
atpp-1025	122	8	and	and	CCONJ
atpp-1025	122	9	measured	measure	VERB
atpp-1025	122	10	by	by	ADP
atpp-1025	122	11	the	the	DET
atpp-1025	122	12	frequency	frequency	NOUN
atpp-1025	122	13	of	of	ADP
atpp-1025	122	14	its	its	PRON
atpp-1025	122	15	occurrence	occurrence	NOUN
atpp-1025	122	16	on	on	ADP
atpp-1025	122	17	the	the	DET
atpp-1025	122	18	individual	individual	ADJ
atpp-1025	122	19	or	or	CCONJ
atpp-1025	122	20	class	class	NOUN
atpp-1025	122	21	level	level	NOUN
atpp-1025	122	22	.	.	PUNCT
atpp-1025	123	1	literature	literature	NOUN
atpp-1025	123	2	related	relate	VERB
atpp-1025	123	3	to	to	ADP
atpp-1025	123	4	high	high	ADJ
atpp-1025	123	5	school	school	NOUN
atpp-1025	123	6	community	community	NOUN
atpp-1025	123	7	of	of	ADP
atpp-1025	123	8	mathematical	mathematical	ADJ
atpp-1025	123	9	inquiry	inquiry	NOUN
atpp-1025	123	10	was	be	AUX
atpp-1025	123	11	limited	limit	VERB
atpp-1025	123	12	to	to	ADP
atpp-1025	123	13	fawcett	fawcett	PROPN
atpp-1025	123	14	’s	’s	PART
atpp-1025	123	15	1938	1938	NUM
atpp-1025	123	16	classic	classic	ADJ
atpp-1025	123	17	quantitative	quantitative	ADJ
atpp-1025	123	18	study	study	NOUN
atpp-1025	123	19	about	about	ADP
atpp-1025	123	20	geometry	geometry	NOUN
atpp-1025	123	21	students	student	NOUN
atpp-1025	123	22	.	.	PUNCT
atpp-1025	124	1	lampert	lampert	PROPN
atpp-1025	124	2	’s	’s	PART
atpp-1025	124	3	1990	1990	NUM
atpp-1025	124	4	classic	classic	NOUN
atpp-1025	124	5	,	,	PUNCT
atpp-1025	124	6	first	first	ADJ
atpp-1025	124	7	-	-	PUNCT
atpp-1025	124	8	person	person	NOUN
atpp-1025	124	9	,	,	PUNCT
atpp-1025	124	10	qualitative	qualitative	ADJ
atpp-1025	124	11	study	study	NOUN
atpp-1025	124	12	generalized	generalize	VERB
atpp-1025	124	13	student	student	NOUN
atpp-1025	124	14	attempts	attempt	NOUN
atpp-1025	124	15	to	to	PART
atpp-1025	124	16	thwart	thwart	VERB
atpp-1025	124	17	dialogue	dialogue	NOUN
atpp-1025	124	18	in	in	ADP
atpp-1025	124	19	a	a	DET
atpp-1025	124	20	middle	middle	ADJ
atpp-1025	124	21	school	school	NOUN
atpp-1025	124	22	community	community	NOUN
atpp-1025	124	23	of	of	ADP
atpp-1025	124	24	inquiry	inquiry	NOUN
atpp-1025	124	25	that	that	PRON
atpp-1025	124	26	would	would	AUX
atpp-1025	124	27	be	be	AUX
atpp-1025	124	28	applicable	applicable	ADJ
atpp-1025	124	29	to	to	ADP
atpp-1025	124	30	the	the	DET
atpp-1025	124	31	high	high	ADJ
atpp-1025	124	32	school	school	NOUN
atpp-1025	124	33	level	level	NOUN
atpp-1025	124	34	.	.	PUNCT
atpp-1025	125	1	the	the	DET
atpp-1025	125	2	cobb	cobb	PROPN
atpp-1025	125	3	et	et	PROPN
atpp-1025	125	4	al	al	PROPN
atpp-1025	125	5	.	.	PROPN
atpp-1025	125	6	(	(	PUNCT
atpp-1025	125	7	1991	1991	NUM
atpp-1025	125	8	,	,	PUNCT
atpp-1025	125	9	1992	1992	NUM
atpp-1025	125	10	)	)	PUNCT
atpp-1025	125	11	studies	study	NOUN
atpp-1025	125	12	demonstrated	demonstrate	VERB
atpp-1025	125	13	the	the	DET
atpp-1025	125	14	effectiveness	effectiveness	NOUN
atpp-1025	125	15	of	of	ADP
atpp-1025	125	16	a	a	DET
atpp-1025	125	17	community	community	NOUN
atpp-1025	125	18	of	of	ADP
atpp-1025	125	19	inquiry	inquiry	NOUN
atpp-1025	125	20	approach	approach	NOUN
atpp-1025	125	21	for	for	ADP
atpp-1025	125	22	mathematics	mathematic	NOUN
atpp-1025	125	23	at	at	ADP
atpp-1025	125	24	the	the	DET
atpp-1025	125	25	second	second	ADJ
atpp-1025	125	26	grade	grade	NOUN
atpp-1025	125	27	level	level	NOUN
atpp-1025	125	28	.	.	PUNCT
atpp-1025	126	1	references	reference	NOUN
atpp-1025	126	2	ball	ball	PROPN
atpp-1025	126	3	,	,	PUNCT
atpp-1025	126	4	d.	d.	PROPN
atpp-1025	126	5	(	(	PUNCT
atpp-1025	126	6	1991	1991	NUM
atpp-1025	126	7	)	)	PUNCT
atpp-1025	126	8	.	.	PUNCT
atpp-1025	127	1	research	research	NOUN
atpp-1025	127	2	on	on	ADP
atpp-1025	127	3	teaching	teach	VERB
atpp-1025	127	4	mathematics	mathematic	NOUN
atpp-1025	127	5	:	:	PUNCT
atpp-1025	127	6	making	make	VERB
atpp-1025	127	7	subject	subject	ADJ
atpp-1025	127	8	-	-	PUNCT
atpp-1025	127	9	matter	matter	NOUN
atpp-1025	127	10	knowledge	knowledge	NOUN
atpp-1025	127	11	part	part	NOUN
atpp-1025	127	12	of	of	ADP
atpp-1025	127	13	the	the	DET
atpp-1025	127	14	equation	equation	NOUN
atpp-1025	127	15	.	.	PUNCT
atpp-1025	128	1	advances	advance	NOUN
atpp-1025	128	2	in	in	ADP
atpp-1025	128	3	research	research	NOUN
atpp-1025	128	4	on	on	ADP
atpp-1025	128	5	teaching	teach	VERB
atpp-1025	128	6	,	,	PUNCT
atpp-1025	128	7	(	(	PUNCT
atpp-1025	128	8	2	2	NUM
atpp-1025	128	9	)	)	PUNCT
atpp-1025	128	10	,	,	PUNCT
atpp-1025	128	11	pp	pp	ADJ
atpp-1025	128	12	.	.	PUNCT
atpp-1025	129	1	1	1	NUM
atpp-1025	129	2	-	-	SYM
atpp-1025	129	3	48	48	NUM
atpp-1025	129	4	.	.	PUNCT
atpp-1025	130	1	burbules	burbule	NOUN
atpp-1025	130	2	,	,	PUNCT
atpp-1025	130	3	n.	n.	NOUN
atpp-1025	130	4	(	(	PUNCT
atpp-1025	130	5	1993	1993	NUM
atpp-1025	130	6	)	)	PUNCT
atpp-1025	130	7	.	.	PUNCT
atpp-1025	131	1	dialogue	dialogue	NOUN
atpp-1025	131	2	in	in	ADP
atpp-1025	131	3	teaching	teaching	NOUN
atpp-1025	131	4	.	.	PUNCT
atpp-1025	132	1	new	new	PROPN
atpp-1025	132	2	york	york	PROPN
atpp-1025	132	3	:	:	PUNCT
atpp-1025	132	4	teachers	teachers	PROPN
atpp-1025	132	5	college	college	PROPN
atpp-1025	132	6	press	press	PROPN
atpp-1025	132	7	.	.	PUNCT
atpp-1025	133	1	carpenter	carpenter	PROPN
atpp-1025	133	2	,	,	PUNCT
atpp-1025	133	3	t.p	t.p	PROPN
atpp-1025	133	4	.	.	PROPN
atpp-1025	133	5	&	&	CCONJ
atpp-1025	133	6	fennema	fennema	PROPN
atpp-1025	133	7	,	,	PUNCT
atpp-1025	133	8	e.	e.	PROPN
atpp-1025	133	9	(	(	PUNCT
atpp-1025	133	10	1992	1992	NUM
atpp-1025	133	11	)	)	PUNCT
atpp-1025	133	12	.	.	PUNCT
atpp-1025	134	1	cognitively	cognitively	ADV
atpp-1025	134	2	guided	guide	VERB
atpp-1025	134	3	instruction	instruction	NOUN
atpp-1025	134	4	:	:	PUNCT
atpp-1025	134	5	building	build	VERB
atpp-1025	134	6	on	on	ADP
atpp-1025	134	7	the	the	DET
atpp-1025	134	8	knowledge	knowledge	NOUN
atpp-1025	134	9	of	of	ADP
atpp-1025	134	10	students	student	NOUN
atpp-1025	134	11	and	and	CCONJ
atpp-1025	134	12	teachers	teacher	NOUN
atpp-1025	134	13	.	.	PUNCT
atpp-1025	135	1	international	international	ADJ
atpp-1025	135	2	journal	journal	PROPN
atpp-1025	135	3	of	of	ADP
atpp-1025	135	4	educational	educational	ADJ
atpp-1025	135	5	research	research	NOUN
atpp-1025	135	6	,	,	PUNCT
atpp-1025	135	7	17	17	NUM
atpp-1025	135	8	,	,	PUNCT
atpp-1025	135	9	457	457	NUM
atpp-1025	135	10	-	-	SYM
atpp-1025	135	11	470	470	NUM
atpp-1025	135	12	.	.	PUNCT
atpp-1025	136	1	clarke	clarke	PROPN
atpp-1025	136	2	,	,	PUNCT
atpp-1025	136	3	d.	d.	PROPN
atpp-1025	136	4	(	(	PUNCT
atpp-1025	136	5	1997	1997	NUM
atpp-1025	136	6	)	)	PUNCT
atpp-1025	136	7	.	.	PUNCT
atpp-1025	137	1	the	the	DET
atpp-1025	137	2	changing	change	VERB
atpp-1025	137	3	role	role	NOUN
atpp-1025	137	4	of	of	ADP
atpp-1025	137	5	the	the	DET
atpp-1025	137	6	mathematics	mathematics	NOUN
atpp-1025	137	7	teacher	teacher	NOUN
atpp-1025	137	8	.	.	PUNCT
atpp-1025	138	1	journal	journal	PROPN
atpp-1025	138	2	of	of	ADP
atpp-1025	138	3	research	research	NOUN
atpp-1025	138	4	in	in	ADP
atpp-1025	138	5	mathematics	mathematics	PROPN
atpp-1025	138	6	education	education	NOUN
atpp-1025	138	7	,	,	PUNCT
atpp-1025	138	8	28(3	28(3	NUM
atpp-1025	138	9	)	)	PUNCT
atpp-1025	138	10	,	,	PUNCT
atpp-1025	138	11	pp	pp	PROPN
atpp-1025	138	12	.	.	PUNCT
atpp-1025	139	1	278	278	NUM
atpp-1025	139	2	-	-	SYM
atpp-1025	139	3	305	305	NUM
atpp-1025	139	4	.	.	PUNCT
atpp-1025	140	1	cobb	cobb	PROPN
atpp-1025	140	2	,	,	PUNCT
atpp-1025	140	3	p.	p.	NOUN
atpp-1025	140	4	,	,	PUNCT
atpp-1025	140	5	wood	wood	NOUN
atpp-1025	140	6	,	,	PUNCT
atpp-1025	140	7	t.	t.	PROPN
atpp-1025	140	8	&	&	CCONJ
atpp-1025	140	9	yackel	yackel	PROPN
atpp-1025	140	10	,	,	PUNCT
atpp-1025	140	11	e.	e.	PROPN
atpp-1025	140	12	(	(	PUNCT
atpp-1025	140	13	1991	1991	NUM
atpp-1025	140	14	)	)	PUNCT
atpp-1025	140	15	.	.	PUNCT
atpp-1025	141	1	analogies	analogy	NOUN
atpp-1025	141	2	from	from	ADP
atpp-1025	141	3	the	the	DET
atpp-1025	141	4	philosophy	philosophy	NOUN
atpp-1025	141	5	and	and	CCONJ
atpp-1025	141	6	sociology	sociology	NOUN
atpp-1025	141	7	of	of	ADP
atpp-1025	141	8	science	science	NOUN
atpp-1025	141	9	for	for	ADP
atpp-1025	141	10	understanding	understand	VERB
atpp-1025	141	11	classroom	classroom	NOUN
atpp-1025	141	12	life	life	NOUN
atpp-1025	141	13	.	.	PUNCT
atpp-1025	142	1	science	science	NOUN
atpp-1025	142	2	education	education	NOUN
atpp-1025	142	3	(	(	PUNCT
atpp-1025	142	4	75	75	NUM
atpp-1025	142	5	)	)	PUNCT
atpp-1025	142	6	,	,	PUNCT
atpp-1025	142	7	23	23	NUM
atpp-1025	142	8	-	-	SYM
atpp-1025	142	9	44	44	NUM
atpp-1025	142	10	.	.	PUNCT
atpp-1025	143	1	cobb	cobb	PROPN
atpp-1025	143	2	,	,	PUNCT
atpp-1025	143	3	p.	p.	NOUN
atpp-1025	143	4	,	,	PUNCT
atpp-1025	143	5	wood	wood	NOUN
atpp-1025	143	6	,	,	PUNCT
atpp-1025	143	7	t.	t.	PROPN
atpp-1025	143	8	,	,	PUNCT
atpp-1025	143	9	yackel	yackel	PROPN
atpp-1025	143	10	,	,	PUNCT
atpp-1025	143	11	e.	e.	PROPN
atpp-1025	143	12	,	,	PUNCT
atpp-1025	143	13	nicholls	nicholls	PROPN
atpp-1025	143	14	,	,	PUNCT
atpp-1025	143	15	j.	j.	PROPN
atpp-1025	143	16	,	,	PUNCT
atpp-1025	143	17	wheatly	wheatly	ADV
atpp-1025	143	18	,	,	PUNCT
atpp-1025	143	19	g.	g.	PROPN
atpp-1025	143	20	,	,	PUNCT
atpp-1025	143	21	trigatti	trigatti	PROPN
atpp-1025	143	22	,	,	PUNCT
atpp-1025	143	23	b.	b.	PROPN
atpp-1025	143	24	,	,	PUNCT
atpp-1025	143	25	and	and	CCONJ
atpp-1025	143	26	perlwitz	perlwitz	NOUN
atpp-1025	143	27	,	,	PUNCT
atpp-1025	143	28	m.	m.	NOUN
atpp-1025	143	29	(	(	PUNCT
atpp-1025	143	30	1991	1991	NUM
atpp-1025	143	31	)	)	PUNCT
atpp-1025	143	32	.	.	PUNCT
atpp-1025	144	1	assessment	assessment	NOUN
atpp-1025	144	2	of	of	ADP
atpp-1025	144	3	a	a	DET
atpp-1025	144	4	problem	problem	NOUN
atpp-1025	144	5	-	-	PUNCT
atpp-1025	144	6	centered	center	VERB
atpp-1025	144	7	second	second	ADJ
atpp-1025	144	8	grade	grade	NOUN
atpp-1025	144	9	mathematical	mathematical	ADJ
atpp-1025	144	10	project	project	NOUN
atpp-1025	144	11	.	.	PUNCT
atpp-1025	145	1	journal	journal	PROPN
atpp-1025	145	2	for	for	ADP
atpp-1025	145	3	research	research	NOUN
atpp-1025	145	4	in	in	ADP
atpp-1025	145	5	mathematics	mathematics	PROPN
atpp-1025	145	6	eduaction	eduaction	NOUN
atpp-1025	145	7	(	(	PUNCT
atpp-1025	145	8	22	22	NUM
atpp-1025	145	9	)	)	PUNCT
atpp-1025	145	10	,	,	PUNCT
atpp-1025	145	11	3	3	NUM
atpp-1025	145	12	-	-	SYM
atpp-1025	145	13	29	29	NUM
atpp-1025	145	14	.	.	PUNCT
atpp-1025	146	1	cobb	cobb	PROPN
atpp-1025	146	2	,	,	PUNCT
atpp-1025	146	3	p.	p.	NOUN
atpp-1025	146	4	,	,	PUNCT
atpp-1025	146	5	wood	wood	NOUN
atpp-1025	146	6	,	,	PUNCT
atpp-1025	146	7	t.	t.	PROPN
atpp-1025	146	8	,	,	PUNCT
atpp-1025	146	9	yackel	yackel	PROPN
atpp-1025	146	10	,	,	PUNCT
atpp-1025	146	11	e.	e.	PROPN
atpp-1025	146	12	&	&	CCONJ
atpp-1025	146	13	perlwitz	perlwitz	PROPN
atpp-1025	146	14	,	,	PUNCT
atpp-1025	146	15	m.	m.	NOUN
atpp-1025	146	16	(	(	PUNCT
atpp-1025	146	17	1992	1992	NUM
atpp-1025	146	18	)	)	PUNCT
atpp-1025	146	19	.	.	PUNCT
atpp-1025	147	1	a	a	DET
atpp-1025	147	2	follow	follow	VERB
atpp-1025	147	3	-	-	PUNCT
atpp-1025	147	4	up	up	NOUN
atpp-1025	147	5	assessment	assessment	NOUN
atpp-1025	147	6	of	of	ADP
atpp-1025	147	7	a	a	DET
atpp-1025	147	8	second	second	ADJ
atpp-1025	147	9	-	-	PUNCT
atpp-1025	147	10	grade	grade	NOUN
atpp-1025	147	11	problem	problem	NOUN
atpp-1025	147	12	-	-	PUNCT
atpp-1025	147	13	centered	center	VERB
atpp-1025	147	14	mathematics	mathematics	NOUN
atpp-1025	147	15	project	project	NOUN
atpp-1025	147	16	.	.	PUNCT
atpp-1025	148	1	educational	educational	ADJ
atpp-1025	148	2	studies	study	NOUN
atpp-1025	148	3	in	in	ADP
atpp-1025	148	4	mathematics	mathematic	NOUN
atpp-1025	148	5	(	(	PUNCT
atpp-1025	148	6	23	23	NUM
atpp-1025	148	7	)	)	PUNCT
atpp-1025	148	8	,	,	PUNCT
atpp-1025	148	9	483	483	NUM
atpp-1025	148	10	-	-	SYM
atpp-1025	148	11	504	504	NUM
atpp-1025	148	12	.	.	PUNCT
atpp-1025	149	1	cobb	cobb	PROPN
atpp-1025	149	2	,	,	PUNCT
atpp-1025	149	3	p.	p.	NOUN
atpp-1025	149	4	,	,	PUNCT
atpp-1025	149	5	yackel	yackel	PROPN
atpp-1025	149	6	,	,	PUNCT
atpp-1025	149	7	e.	e.	PROPN
atpp-1025	149	8	,	,	PUNCT
atpp-1025	149	9	&	&	CCONJ
atpp-1025	149	10	wood	wood	NOUN
atpp-1025	149	11	,	,	PUNCT
atpp-1025	149	12	t.	t.	NOUN
atpp-1025	149	13	(	(	PUNCT
atpp-1025	149	14	1992	1992	NUM
atpp-1025	149	15	)	)	PUNCT
atpp-1025	149	16	.	.	PUNCT
atpp-1025	150	1	a	a	DET
atpp-1025	150	2	constructivist	constructivist	ADJ
atpp-1025	150	3	alternative	alternative	NOUN
atpp-1025	150	4	to	to	ADP
atpp-1025	150	5	the	the	DET
atpp-1025	150	6	representational	representational	ADJ
atpp-1025	150	7	view	view	NOUN
atpp-1025	150	8	of	of	ADP
atpp-1025	150	9	mind	mind	NOUN
atpp-1025	150	10	in	in	ADP
atpp-1025	150	11	mathematics	mathematics	PROPN
atpp-1025	150	12	education	education	NOUN
atpp-1025	150	13	.	.	PUNCT
atpp-1025	151	1	journal	journal	PROPN
atpp-1025	151	2	for	for	ADP
atpp-1025	151	3	research	research	NOUN
atpp-1025	151	4	in	in	ADP
atpp-1025	151	5	mathematics	mathematics	NOUN
atpp-1025	151	6	education	education	NOUN
atpp-1025	151	7	(	(	PUNCT
atpp-1025	151	8	23	23	NUM
atpp-1025	151	9	)	)	PUNCT
atpp-1025	151	10	,	,	PUNCT
atpp-1025	151	11	2	2	NUM
atpp-1025	151	12	-	-	SYM
atpp-1025	151	13	23	23	NUM
atpp-1025	151	14	.	.	PUNCT
atpp-1025	152	1	fawcett	fawcett	PROPN
atpp-1025	152	2	,	,	PUNCT
atpp-1025	152	3	h.	h.	PROPN
atpp-1025	152	4	(	(	PUNCT
atpp-1025	152	5	1938	1938	NUM
atpp-1025	152	6	)	)	PUNCT
atpp-1025	152	7	.	.	PUNCT
atpp-1025	153	1	the	the	DET
atpp-1025	153	2	nature	nature	NOUN
atpp-1025	153	3	of	of	ADP
atpp-1025	153	4	proof	proof	NOUN
atpp-1025	153	5	[	[	X
atpp-1025	153	6	1938	1938	NUM
atpp-1025	153	7	yearbook	yearbook	NOUN
atpp-1025	153	8	of	of	ADP
atpp-1025	153	9	the	the	DET
atpp-1025	153	10	national	national	PROPN
atpp-1025	153	11	council	council	PROPN
atpp-1025	153	12	of	of	ADP
atpp-1025	153	13	teachers	teacher	NOUN
atpp-1025	153	14	of	of	ADP
atpp-1025	153	15	mathematics	mathematic	NOUN
atpp-1025	153	16	]	]	PUNCT
atpp-1025	153	17	.	.	PUNCT
atpp-1025	154	1	new	new	PROPN
atpp-1025	154	2	york	york	PROPN
atpp-1025	154	3	:	:	PUNCT
atpp-1025	154	4	columbia	columbia	PROPN
atpp-1025	154	5	university	university	PROPN
atpp-1025	154	6	teachers	teachers	PROPN
atpp-1025	154	7	college	college	PROPN
atpp-1025	154	8	bureau	bureau	PROPN
atpp-1025	154	9	of	of	ADP
atpp-1025	154	10	publications	publication	NOUN
atpp-1025	154	11	.	.	PUNCT
atpp-1025	155	1	fernandez	fernandez	PROPN
atpp-1025	155	2	-	-	PUNCT
atpp-1025	155	3	balboa	balboa	PROPN
atpp-1025	155	4	,	,	PUNCT
atpp-1025	155	5	j.	j.	PROPN
atpp-1025	155	6	&	&	CCONJ
atpp-1025	155	7	marshall	marshall	PROPN
atpp-1025	155	8	,	,	PUNCT
atpp-1025	155	9	j.	j.	PROPN
atpp-1025	155	10	(	(	PUNCT
atpp-1025	155	11	1994	1994	NUM
atpp-1025	155	12	)	)	PUNCT
atpp-1025	155	13	.	.	PUNCT
atpp-1025	156	1	dialogical	dialogical	ADJ
atpp-1025	156	2	pedagogy	pedagogy	NOUN
atpp-1025	156	3	in	in	ADP
atpp-1025	156	4	teacher	teacher	NOUN
atpp-1025	156	5	education	education	NOUN
atpp-1025	156	6	:	:	PUNCT
atpp-1025	156	7	toward	toward	ADP
atpp-1025	156	8	an	an	DET
atpp-1025	156	9	education	education	NOUN
atpp-1025	156	10	for	for	ADP
atpp-1025	156	11	democracy	democracy	NOUN
atpp-1025	156	12	.	.	PUNCT
atpp-1025	157	1	journal	journal	NOUN
atpp-1025	157	2	of	of	ADP
atpp-1025	157	3	teacher	teacher	NOUN
atpp-1025	157	4	education	education	NOUN
atpp-1025	157	5	,	,	PUNCT
atpp-1025	157	6	45(3	45(3	NUM
atpp-1025	157	7	)	)	PUNCT
atpp-1025	157	8	,	,	PUNCT
atpp-1025	157	9	172	172	NUM
atpp-1025	157	10	-	-	SYM
atpp-1025	157	11	182	182	NUM
atpp-1025	157	12	.	.	PUNCT
atpp-1025	158	1	gregory	gregory	PROPN
atpp-1025	158	2	,	,	PUNCT
atpp-1025	158	3	m.	m.	NOUN
atpp-1025	158	4	(	(	PUNCT
atpp-1025	158	5	2002	2002	NUM
atpp-1025	158	6	)	)	PUNCT
atpp-1025	158	7	.	.	PUNCT
atpp-1025	159	1	constructivism	constructivism	NOUN
atpp-1025	159	2	,	,	PUNCT
atpp-1025	159	3	standards	standard	NOUN
atpp-1025	159	4	,	,	PUNCT
atpp-1025	159	5	and	and	CCONJ
atpp-1025	159	6	the	the	DET
atpp-1025	159	7	classroom	classroom	NOUN
atpp-1025	159	8	community	community	NOUN
atpp-1025	159	9	of	of	ADP
atpp-1025	159	10	inquiry	inquiry	NOUN
atpp-1025	159	11	.	.	PUNCT
atpp-1025	160	1	educational	educational	ADJ
atpp-1025	160	2	theory	theory	NOUN
atpp-1025	160	3	,	,	PUNCT
atpp-1025	160	4	52(4	52(4	NUM
atpp-1025	160	5	)	)	PUNCT
atpp-1025	160	6	,	,	PUNCT
atpp-1025	160	7	397	397	NUM
atpp-1025	160	8	408	408	NUM
atpp-1025	160	9	.	.	PUNCT
atpp-1025	161	1	harpaz	harpaz	PROPN
atpp-1025	161	2	,	,	PUNCT
atpp-1025	161	3	y.	y.	PROPN
atpp-1025	161	4	&	&	CCONJ
atpp-1025	161	5	lefstein	lefstein	PROPN
atpp-1025	161	6	,	,	PUNCT
atpp-1025	161	7	a.	a.	NOUN
atpp-1025	161	8	(	(	PUNCT
atpp-1025	161	9	2000	2000	NUM
atpp-1025	161	10	)	)	PUNCT
atpp-1025	161	11	.	.	PUNCT
atpp-1025	162	1	communities	community	NOUN
atpp-1025	162	2	of	of	ADP
atpp-1025	162	3	thinking	think	VERB
atpp-1025	162	4	.	.	PUNCT
atpp-1025	163	1	educational	educational	ADJ
atpp-1025	163	2	leadership	leadership	NOUN
atpp-1025	163	3	,	,	PUNCT
atpp-1025	163	4	58(3	58(3	NUM
atpp-1025	163	5	)	)	PUNCT
atpp-1025	163	6	,	,	PUNCT
atpp-1025	163	7	54	54	NUM
atpp-1025	163	8	-	-	SYM
atpp-1025	163	9	57	57	NUM
atpp-1025	163	10	.	.	PUNCT
atpp-1025	164	1	lakatos	lakatos	PROPN
atpp-1025	164	2	,	,	PUNCT
atpp-1025	164	3	i.	i.	NOUN
atpp-1025	164	4	(	(	PUNCT
atpp-1025	164	5	1976	1976	NUM
atpp-1025	164	6	)	)	PUNCT
atpp-1025	164	7	.	.	PUNCT
atpp-1025	165	1	proofs	proof	NOUN
atpp-1025	165	2	and	and	CCONJ
atpp-1025	165	3	refutations	refutation	NOUN
atpp-1025	165	4	:	:	PUNCT
atpp-1025	165	5	the	the	DET
atpp-1025	165	6	logic	logic	NOUN
atpp-1025	165	7	of	of	ADP
atpp-1025	165	8	mathematical	mathematical	ADJ
atpp-1025	165	9	discovery	discovery	NOUN
atpp-1025	165	10	.	.	PUNCT
atpp-1025	166	1	new	new	PROPN
atpp-1025	166	2	york	york	PROPN
atpp-1025	166	3	:	:	PUNCT
atpp-1025	166	4	cambridge	cambridge	PROPN
atpp-1025	166	5	university	university	PROPN
atpp-1025	166	6	press	press	NOUN
atpp-1025	166	7	.	.	PUNCT
atpp-1025	167	1	lampert	lampert	PROPN
atpp-1025	167	2	,	,	PUNCT
atpp-1025	167	3	m.	m.	NOUN
atpp-1025	167	4	(	(	PUNCT
atpp-1025	167	5	1990	1990	NUM
atpp-1025	167	6	)	)	PUNCT
atpp-1025	167	7	.	.	PUNCT
atpp-1025	168	1	when	when	SCONJ
atpp-1025	168	2	the	the	DET
atpp-1025	168	3	problem	problem	NOUN
atpp-1025	168	4	is	be	AUX
atpp-1025	168	5	not	not	PART
atpp-1025	168	6	the	the	DET
atpp-1025	168	7	question	question	NOUN
atpp-1025	168	8	and	and	CCONJ
atpp-1025	168	9	the	the	DET
atpp-1025	168	10	solution	solution	NOUN
atpp-1025	168	11	is	be	AUX
atpp-1025	168	12	not	not	PART
atpp-1025	168	13	the	the	DET
atpp-1025	168	14	answer	answer	NOUN
atpp-1025	168	15	:	:	PUNCT
atpp-1025	168	16	mathematical	mathematical	ADJ
atpp-1025	168	17	knowing	knowing	NOUN
atpp-1025	168	18	and	and	CCONJ
atpp-1025	168	19	teaching	teaching	NOUN
atpp-1025	168	20	.	.	PUNCT
atpp-1025	169	1	american	american	ADJ
atpp-1025	169	2	educational	educational	PROPN
atpp-1025	169	3	research	research	PROPN
atpp-1025	169	4	journal	journal	PROPN
atpp-1025	169	5	(	(	PUNCT
atpp-1025	169	6	27	27	NUM
atpp-1025	169	7	)	)	PUNCT
atpp-1025	169	8	,	,	PUNCT
atpp-1025	169	9	29	29	NUM
atpp-1025	169	10	-	-	SYM
atpp-1025	169	11	63	63	NUM
atpp-1025	169	12	.	.	PUNCT
atpp-1025	170	1	analytic	analytic	ADJ
atpp-1025	170	2	teaching	teaching	NOUN
atpp-1025	170	3	and	and	CCONJ
atpp-1025	170	4	philosophical	philosophical	ADJ
atpp-1025	170	5	praxis	praxis	ADJ
atpp-1025	170	6	vol	vol	NOUN
atpp-1025	170	7	.	.	PROPN
atpp-1025	170	8	29	29	NUM
atpp-1025	170	9	no.1	no.1	X
atpp-1025	170	10	54	54	NUM
atpp-1025	170	11	mason	mason	PROPN
atpp-1025	170	12	,	,	PUNCT
atpp-1025	170	13	j.	j.	PROPN
atpp-1025	170	14	,	,	PUNCT
atpp-1025	170	15	burton	burton	PROPN
atpp-1025	170	16	,	,	PUNCT
atpp-1025	170	17	l.	l.	PROPN
atpp-1025	170	18	,	,	PUNCT
atpp-1025	170	19	&	&	CCONJ
atpp-1025	170	20	stacey	stacey	PROPN
atpp-1025	170	21	,	,	PUNCT
atpp-1025	170	22	k.	k.	PROPN
atpp-1025	170	23	(	(	PUNCT
atpp-1025	170	24	1982	1982	NUM
atpp-1025	170	25	)	)	PUNCT
atpp-1025	170	26	.	.	PUNCT
atpp-1025	171	1	thinking	think	VERB
atpp-1025	171	2	mathematically	mathematically	ADV
atpp-1025	171	3	.	.	PUNCT
atpp-1025	172	1	new	new	PROPN
atpp-1025	172	2	york	york	PROPN
atpp-1025	172	3	:	:	PUNCT
atpp-1025	173	1	adison	adison	PROPN
atpp-1025	173	2	-	-	PUNCT
atpp-1025	173	3	wesley	wesley	PROPN
atpp-1025	173	4	.	.	PUNCT
atpp-1025	174	1	peressini	peressini	PROPN
atpp-1025	174	2	,	,	PUNCT
atpp-1025	174	3	d.	d.	PROPN
atpp-1025	174	4	&	&	CCONJ
atpp-1025	174	5	knuth	knuth	PROPN
atpp-1025	174	6	,	,	PUNCT
atpp-1025	174	7	e.	e.	PROPN
atpp-1025	174	8	(	(	PUNCT
atpp-1025	174	9	2000	2000	NUM
atpp-1025	174	10	)	)	PUNCT
atpp-1025	174	11	.	.	PUNCT
atpp-1025	175	1	the	the	DET
atpp-1025	175	2	role	role	NOUN
atpp-1025	175	3	of	of	ADP
atpp-1025	175	4	tasks	task	NOUN
atpp-1025	175	5	in	in	ADP
atpp-1025	175	6	developing	develop	VERB
atpp-1025	175	7	communities	community	NOUN
atpp-1025	175	8	of	of	ADP
atpp-1025	175	9	mathematical	mathematical	ADJ
atpp-1025	175	10	inquiry	inquiry	NOUN
atpp-1025	175	11	.	.	PUNCT
atpp-1025	176	1	teaching	teach	VERB
atpp-1025	176	2	children	child	NOUN
atpp-1025	176	3	mathematics	mathematic	NOUN
atpp-1025	176	4	,	,	PUNCT
atpp-1025	176	5	6(6	6(6	ADJ
atpp-1025	176	6	)	)	PUNCT
atpp-1025	176	7	,	,	PUNCT
atpp-1025	176	8	391	391	NUM
atpp-1025	176	9	-	-	SYM
atpp-1025	176	10	396	396	NUM
atpp-1025	176	11	.	.	PUNCT
atpp-1025	177	1	polya	polya	PROPN
atpp-1025	177	2	,	,	PUNCT
atpp-1025	177	3	g.	g.	PROPN
atpp-1025	177	4	(	(	PUNCT
atpp-1025	177	5	1954	1954	NUM
atpp-1025	177	6	)	)	PUNCT
atpp-1025	177	7	.	.	PUNCT
atpp-1025	178	1	induction	induction	NOUN
atpp-1025	178	2	and	and	CCONJ
atpp-1025	178	3	analogy	analogy	NOUN
atpp-1025	178	4	in	in	ADP
atpp-1025	178	5	mathematics	mathematics	PROPN
atpp-1025	178	6	.	.	PUNCT
atpp-1025	179	1	princeton	princeton	PROPN
atpp-1025	179	2	,	,	PUNCT
atpp-1025	179	3	nj	nj	PROPN
atpp-1025	179	4	:	:	PUNCT
atpp-1025	179	5	princeton	princeton	PROPN
atpp-1025	179	6	university	university	PROPN
atpp-1025	179	7	press	press	NOUN
atpp-1025	179	8	.	.	PUNCT
atpp-1025	180	1	robertson	robertson	PROPN
atpp-1025	180	2	,	,	PUNCT
atpp-1025	180	3	e.	e.	PROPN
atpp-1025	180	4	(	(	PUNCT
atpp-1025	180	5	1999	1999	NUM
atpp-1025	180	6	)	)	PUNCT
atpp-1025	180	7	.	.	PUNCT
atpp-1025	181	1	the	the	DET
atpp-1025	181	2	value	value	NOUN
atpp-1025	181	3	of	of	ADP
atpp-1025	181	4	reason	reason	NOUN
atpp-1025	181	5	:	:	PUNCT
atpp-1025	181	6	why	why	SCONJ
atpp-1025	181	7	not	not	PART
atpp-1025	181	8	a	a	DET
atpp-1025	181	9	sardine	sardine	NOUN
atpp-1025	181	10	can	can	AUX
atpp-1025	181	11	opener	opener	VERB
atpp-1025	181	12	?	?	PUNCT
atpp-1025	182	1	[	[	X
atpp-1025	182	2	on	on	ADP
atpp-1025	182	3	-	-	PUNCT
atpp-1025	182	4	line	line	NOUN
atpp-1025	182	5	]	]	X
atpp-1025	182	6	,	,	PUNCT
atpp-1025	182	7	1	1	NUM
atpp-1025	182	8	–	–	SYM
atpp-1025	182	9	20	20	NUM
atpp-1025	182	10	.	.	PUNCT
atpp-1025	183	1	available	available	ADJ
atpp-1025	183	2	:	:	PUNCT
atpp-1025	183	3	http://www.ed.uiuc.edu/eps/pes-yearbook/1999/robertson.asp	http://www.ed.uiuc.edu/eps/pes-yearbook/1999/robertson.asp	NOUN
atpp-1025	183	4	scoenfeld	scoenfeld	NOUN
atpp-1025	183	5	,	,	PUNCT
atpp-1025	183	6	a.	a.	PROPN
atpp-1025	183	7	h.	h.	PROPN
atpp-1025	183	8	(	(	PUNCT
atpp-1025	183	9	1987	1987	NUM
atpp-1025	183	10	)	)	PUNCT
atpp-1025	183	11	.	.	PUNCT
atpp-1025	184	1	what	what	PRON
atpp-1025	184	2	’s	’	VERB
atpp-1025	184	3	all	all	DET
atpp-1025	184	4	the	the	DET
atpp-1025	184	5	fuss	fuss	NOUN
atpp-1025	184	6	about	about	ADP
atpp-1025	184	7	metacognition	metacognition	NOUN
atpp-1025	184	8	?	?	PUNCT
atpp-1025	185	1	in	in	ADP
atpp-1025	185	2	a.	a.	PROPN
atpp-1025	185	3	h.	h.	PROPN
atpp-1025	185	4	schoenfeld	schoenfeld	PROPN
atpp-1025	186	1	(	(	PUNCT
atpp-1025	186	2	ed	ed	NOUN
atpp-1025	186	3	.	.	PUNCT
atpp-1025	186	4	)	)	PUNCT
atpp-1025	186	5	,	,	PUNCT
atpp-1025	187	1	cognitive	cognitive	ADJ
atpp-1025	187	2	science	science	NOUN
atpp-1025	187	3	and	and	CCONJ
atpp-1025	187	4	mathematics	mathematic	NOUN
atpp-1025	187	5	education	education	NOUN
atpp-1025	187	6	(	(	PUNCT
atpp-1025	187	7	pp	pp	ADJ
atpp-1025	187	8	.	.	PUNCT
atpp-1025	188	1	189	189	NUM
atpp-1025	188	2	-	-	SYM
atpp-1025	188	3	215	215	NUM
atpp-1025	188	4	)	)	PUNCT
atpp-1025	188	5	.	.	PUNCT
atpp-1025	189	1	hillsdale	hillsdale	PROPN
atpp-1025	189	2	,	,	PUNCT
atpp-1025	189	3	nj	nj	PROPN
atpp-1025	189	4	:	:	PUNCT
atpp-1025	189	5	lawrence	lawrence	PROPN
atpp-1025	189	6	earlbaum	earlbaum	PROPN
atpp-1025	189	7	associates	associates	PROPN
atpp-1025	189	8	.	.	PUNCT
atpp-1025	190	1	schoenfeld	schoenfeld	PROPN
atpp-1025	190	2	,	,	PUNCT
atpp-1025	190	3	a.	a.	PROPN
atpp-1025	190	4	h.	h.	PROPN
atpp-1025	190	5	(	(	PUNCT
atpp-1025	190	6	1996	1996	NUM
atpp-1025	190	7	)	)	PUNCT
atpp-1025	190	8	.	.	PUNCT
atpp-1025	191	1	in	in	ADP
atpp-1025	191	2	fostering	foster	VERB
atpp-1025	191	3	communities	community	NOUN
atpp-1025	191	4	of	of	ADP
atpp-1025	191	5	inquiry	inquiry	NOUN
atpp-1025	191	6	,	,	PUNCT
atpp-1025	191	7	must	must	AUX
atpp-1025	191	8	it	it	PRON
atpp-1025	191	9	matter	matter	VERB
atpp-1025	191	10	that	that	SCONJ
atpp-1025	191	11	the	the	DET
atpp-1025	191	12	teacher	teacher	NOUN
atpp-1025	191	13	knows	know	VERB
atpp-1025	191	14	“	"	PUNCT
atpp-1025	191	15	the	the	DET
atpp-1025	191	16	answer	answer	NOUN
atpp-1025	191	17	”	"	PUNCT
atpp-1025	191	18	?	?	PUNCT
atpp-1025	192	1	for	for	ADP
atpp-1025	192	2	the	the	DET
atpp-1025	192	3	learning	learning	NOUN
atpp-1025	192	4	of	of	ADP
atpp-1025	192	5	mathematics	mathematics	PROPN
atpp-1025	192	6	16(3	16(3	PROPN
atpp-1025	192	7	)	)	PUNCT
atpp-1025	192	8	,	,	PUNCT
atpp-1025	192	9	11	11	NUM
atpp-1025	192	10	-	-	SYM
atpp-1025	192	11	16	16	NUM
atpp-1025	192	12	.	.	PUNCT
atpp-1025	192	13	splitter	splitter	PROPN
atpp-1025	192	14	,	,	PUNCT
atpp-1025	192	15	l.	l.	PROPN
atpp-1025	192	16	&	&	CCONJ
atpp-1025	192	17	sharp	sharp	PROPN
atpp-1025	192	18	,	,	PUNCT
atpp-1025	192	19	a.	a.	NOUN
atpp-1025	192	20	(	(	PUNCT
atpp-1025	192	21	1995	1995	NUM
atpp-1025	192	22	)	)	PUNCT
atpp-1025	192	23	.	.	PUNCT
atpp-1025	193	1	teaching	teach	VERB
atpp-1025	193	2	for	for	ADP
atpp-1025	193	3	better	well	ADJ
atpp-1025	193	4	thinking	thinking	NOUN
atpp-1025	193	5	:	:	PUNCT
atpp-1025	193	6	the	the	DET
atpp-1025	193	7	classroom	classroom	NOUN
atpp-1025	193	8	community	community	NOUN
atpp-1025	193	9	of	of	ADP
atpp-1025	193	10	inquiry	inquiry	NOUN
atpp-1025	193	11	.	.	PUNCT
atpp-1025	194	1	melbourne	melbourne	PROPN
atpp-1025	194	2	:	:	PUNCT
atpp-1025	194	3	australian	australian	ADJ
atpp-1025	194	4	council	council	NOUN
atpp-1025	194	5	for	for	ADP
atpp-1025	194	6	educational	educational	ADJ
atpp-1025	194	7	research	research	NOUN
atpp-1025	194	8	.	.	PUNCT
atpp-1025	195	1	vygotsky	vygotsky	PROPN
atpp-1025	195	2	,	,	PUNCT
atpp-1025	195	3	l.	l.	PROPN
atpp-1025	195	4	(	(	PUNCT
atpp-1025	195	5	1986	1986	NUM
atpp-1025	195	6	)	)	PUNCT
atpp-1025	195	7	.	.	PUNCT
atpp-1025	196	1	(	(	PUNCT
atpp-1025	196	2	a.	a.	PROPN
atpp-1025	196	3	kozulin	kozulin	PROPN
atpp-1025	196	4	,	,	PUNCT
atpp-1025	196	5	eds	eds	PROPN
atpp-1025	196	6	.	.	PROPN
atpp-1025	196	7	&	&	CCONJ
atpp-1025	196	8	trans	trans	PROPN
atpp-1025	196	9	.	.	PUNCT
atpp-1025	196	10	)	)	PUNCT
atpp-1025	196	11	.	.	PUNCT
atpp-1025	197	1	thought	thought	NOUN
atpp-1025	197	2	and	and	CCONJ
atpp-1025	197	3	language	language	NOUN
atpp-1025	197	4	.	.	PUNCT
atpp-1025	198	1	chambridge	chambridge	PROPN
atpp-1025	198	2	,	,	PUNCT
atpp-1025	198	3	ma	ma	PROPN
atpp-1025	198	4	:	:	PUNCT
atpp-1025	198	5	mit	mit	PROPN
atpp-1025	198	6	press	press	NOUN
atpp-1025	198	7	.	.	PUNCT
atpp-1025	199	1	tymoczko	tymoczko	NOUN
atpp-1025	199	2	,	,	PUNCT
atpp-1025	199	3	t.	t.	PROPN
atpp-1025	199	4	(	(	PUNCT
atpp-1025	199	5	1985	1985	NUM
atpp-1025	199	6	)	)	PUNCT
atpp-1025	199	7	.	.	PUNCT
atpp-1025	200	1	new	new	ADJ
atpp-1025	200	2	directions	direction	NOUN
atpp-1025	200	3	in	in	ADP
atpp-1025	200	4	the	the	DET
atpp-1025	200	5	philosophy	philosophy	NOUN
atpp-1025	200	6	of	of	ADP
atpp-1025	200	7	mathematics	mathematics	PROPN
atpp-1025	200	8	.	.	PUNCT
atpp-1025	201	1	boston	boston	PROPN
atpp-1025	201	2	:	:	PUNCT
atpp-1025	201	3	birkhauser	birkhauser	NOUN
atpp-1025	201	4	.	.	PUNCT
atpp-1025	202	1	address	address	NOUN
atpp-1025	202	2	correspondences	correspondence	NOUN
atpp-1025	202	3	to	to	ADP
atpp-1025	202	4	:	:	PUNCT
atpp-1025	202	5	raymond	raymond	PROPN
atpp-1025	202	6	siegrist	siegrist	PROPN
atpp-1025	202	7	suny	suny	PROPN
atpp-1025	202	8	college	college	PROPN
atpp-1025	202	9	at	at	ADP
atpp-1025	202	10	oneonta	oneonta	PROPN
atpp-1025	202	11	box	box	PROPN
atpp-1025	202	12	146	146	NUM
atpp-1025	202	13	fitzelle	fitzelle	PROPN
atpp-1025	202	14	oneonta	oneonta	PROPN
atpp-1025	202	15	,	,	PUNCT
atpp-1025	202	16	ny	ny	PROPN
atpp-1025	202	17	13820	13820	NUM
atpp-1025	202	18	siegrir@oneonta.edu	siegrir@oneonta.edu	PUNCT