id	sid	tid	token	lemma	pos
ajird-925	1	1	american	american	PROPN
ajird-925	1	2	journal	journal	PROPN
ajird-925	1	3	of	of	ADP
ajird-925	1	4	interdisciplinary	interdisciplinary	ADJ
ajird-925	1	5	research	research	NOUN
ajird-925	1	6	and	and	CCONJ
ajird-925	1	7	development	development	NOUN
ajird-925	1	8	issn	issn	PROPN
ajird-925	1	9	online	online	NOUN
ajird-925	1	10	:	:	PUNCT
ajird-925	1	11	2771	2771	NUM
ajird-925	1	12	-	-	SYM
ajird-925	1	13	8948	8948	NUM
ajird-925	1	14	website	website	NOUN
ajird-925	1	15	:	:	PUNCT
ajird-925	1	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-925	1	17	volume	volume	NOUN
ajird-925	1	18	24	24	NUM
ajird-925	1	19	,	,	PUNCT
ajird-925	1	20	january	january	PROPN
ajird-925	1	21	,	,	PUNCT
ajird-925	1	22	2024	2024	NUM
ajird-925	1	23	46	46	NUM
ajird-925	2	1	|	|	ADV
ajird-925	2	2	p	p	X
ajird-925	2	3	a	a	DET
ajird-925	2	4	g	g	NOUN
ajird-925	2	5	e	e	NOUN
ajird-925	2	6	inquiry	inquiry	NOUN
ajird-925	2	7	-	-	PUNCT
ajird-925	2	8	based	base	VERB
ajird-925	2	9	learning	learning	NOUN
ajird-925	2	10	(	(	PUNCT
ajird-925	2	11	ibl	ibl	PROPN
ajird-925	2	12	)	)	PUNCT
ajird-925	2	13	in	in	ADP
ajird-925	2	14	mathematics	mathematics	PROPN
ajird-925	2	15	lessons	lesson	NOUN
ajird-925	2	16	abdullayeva	abdullayeva	PROPN
ajird-925	2	17	muborak	muborak	PROPN
ajird-925	2	18	rahmatullayevna	rahmatullayevna	PROPN
ajird-925	2	19	teacher	teacher	NOUN
ajird-925	2	20	of	of	ADP
ajird-925	2	21	mathematics	mathematics	PROPN
ajird-925	2	22	academic	academic	ADJ
ajird-925	2	23	lyceum	lyceum	NOUN
ajird-925	2	24	of	of	ADP
ajird-925	2	25	tstlii	tstlii	NOUN
ajird-925	2	26	+998	+998	NOUN
ajird-925	2	27	-	-	PUNCT
ajird-925	2	28	91	91	NUM
ajird-925	2	29	-	-	PUNCT
ajird-925	2	30	134	134	NUM
ajird-925	2	31	-	-	PUNCT
ajird-925	2	32	05	05	NUM
ajird-925	2	33	-	-	PUNCT
ajird-925	2	34	30	30	NUM
ajird-925	2	35	abstract	abstract	ADJ
ajird-925	2	36	developing	develop	VERB
ajird-925	2	37	higher	high	ADJ
ajird-925	2	38	-	-	PUNCT
ajird-925	2	39	level	level	NOUN
ajird-925	2	40	thinking	thinking	NOUN
ajird-925	2	41	skills	skill	NOUN
ajird-925	2	42	in	in	ADP
ajird-925	2	43	mathematics	mathematic	NOUN
ajird-925	2	44	lessons	lesson	NOUN
ajird-925	2	45	is	be	AUX
ajird-925	2	46	crucial	crucial	ADJ
ajird-925	2	47	for	for	ADP
ajird-925	2	48	promoting	promote	VERB
ajird-925	2	49	deeper	deep	ADJ
ajird-925	2	50	understanding	understanding	NOUN
ajird-925	2	51	,	,	PUNCT
ajird-925	2	52	problem	problem	NOUN
ajird-925	2	53	-	-	PUNCT
ajird-925	2	54	solving	solve	VERB
ajird-925	2	55	abilities	ability	NOUN
ajird-925	2	56	,	,	PUNCT
ajird-925	2	57	and	and	CCONJ
ajird-925	2	58	critical	critical	ADJ
ajird-925	2	59	thinking	thinking	NOUN
ajird-925	2	60	.	.	PUNCT
ajird-925	3	1	in	in	ADP
ajird-925	3	2	this	this	DET
ajird-925	3	3	article	article	NOUN
ajird-925	3	4	,	,	PUNCT
ajird-925	3	5	i	i	PRON
ajird-925	3	6	will	will	AUX
ajird-925	3	7	provide	provide	VERB
ajird-925	3	8	some	some	DET
ajird-925	3	9	effective	effective	ADJ
ajird-925	3	10	methods	method	NOUN
ajird-925	3	11	for	for	ADP
ajird-925	3	12	fostering	foster	VERB
ajird-925	3	13	higher	high	ADJ
ajird-925	3	14	-	-	PUNCT
ajird-925	3	15	level	level	NOUN
ajird-925	3	16	thinking	thinking	NOUN
ajird-925	3	17	in	in	ADP
ajird-925	3	18	mathematics	mathematics	NOUN
ajird-925	3	19	lessons	lesson	NOUN
ajird-925	3	20	.	.	PUNCT
ajird-925	4	1	keywords	keyword	NOUN
ajird-925	4	2	:	:	PUNCT
ajird-925	4	3	inquiry	inquiry	NOUN
ajird-925	4	4	-	-	PUNCT
ajird-925	4	5	based	base	VERB
ajird-925	4	6	learning	learning	NOUN
ajird-925	4	7	(	(	PUNCT
ajird-925	4	8	ibl	ibl	PROPN
ajird-925	4	9	)	)	PUNCT
ajird-925	4	10	,	,	PUNCT
ajird-925	4	11	student	student	NOUN
ajird-925	4	12	-	-	PUNCT
ajird-925	4	13	led	lead	VERB
ajird-925	4	14	investigations	investigation	NOUN
ajird-925	4	15	,	,	PUNCT
ajird-925	4	16	critical	critical	ADJ
ajird-925	4	17	thinking	thinking	NOUN
ajird-925	4	18	,	,	PUNCT
ajird-925	4	19	ownership	ownership	NOUN
ajird-925	4	20	of	of	ADP
ajird-925	4	21	learning	learning	NOUN
ajird-925	4	22	,	,	PUNCT
ajird-925	4	23	problem	problem	NOUN
ajird-925	4	24	-	-	PUNCT
ajird-925	4	25	solving	solve	VERB
ajird-925	4	26	,	,	PUNCT
ajird-925	4	27	open	open	ADJ
ajird-925	4	28	-	-	PUNCT
ajird-925	4	29	ended	end	VERB
ajird-925	4	30	questions	question	NOUN
ajird-925	4	31	.	.	PUNCT
ajird-925	5	1	introduction	introduction	NOUN
ajird-925	5	2	inquiry	inquiry	NOUN
ajird-925	5	3	-	-	PUNCT
ajird-925	5	4	based	base	VERB
ajird-925	5	5	learning	learning	NOUN
ajird-925	5	6	(	(	PUNCT
ajird-925	5	7	ibl	ibl	PROPN
ajird-925	5	8	):	):	PUNCT
ajird-925	5	9	encourage	encourage	VERB
ajird-925	5	10	students	student	NOUN
ajird-925	5	11	to	to	PART
ajird-925	5	12	explore	explore	VERB
ajird-925	5	13	mathematical	mathematical	ADJ
ajird-925	5	14	concepts	concept	NOUN
ajird-925	5	15	through	through	ADP
ajird-925	5	16	inquiry	inquiry	NOUN
ajird-925	5	17	.	.	PUNCT
ajird-925	6	1	provide	provide	VERB
ajird-925	6	2	guided	guide	VERB
ajird-925	6	3	questions	question	NOUN
ajird-925	6	4	and	and	CCONJ
ajird-925	6	5	prompts	prompt	NOUN
ajird-925	6	6	that	that	PRON
ajird-925	6	7	stimulate	stimulate	VERB
ajird-925	6	8	their	their	PRON
ajird-925	6	9	curiosity	curiosity	NOUN
ajird-925	6	10	and	and	CCONJ
ajird-925	6	11	encourage	encourage	VERB
ajird-925	6	12	them	they	PRON
ajird-925	6	13	to	to	PART
ajird-925	6	14	investigate	investigate	VERB
ajird-925	6	15	,	,	PUNCT
ajird-925	6	16	analyze	analyze	VERB
ajird-925	6	17	patterns	pattern	NOUN
ajird-925	6	18	,	,	PUNCT
ajird-925	6	19	make	make	VERB
ajird-925	6	20	conjectures	conjecture	NOUN
ajird-925	6	21	,	,	PUNCT
ajird-925	6	22	and	and	CCONJ
ajird-925	6	23	develop	develop	VERB
ajird-925	6	24	mathematical	mathematical	ADJ
ajird-925	6	25	reasoning	reasoning	NOUN
ajird-925	6	26	.	.	PUNCT
ajird-925	7	1	inquiry	inquiry	NOUN
ajird-925	7	2	-	-	PUNCT
ajird-925	7	3	based	base	VERB
ajird-925	7	4	learning	learning	NOUN
ajird-925	7	5	(	(	PUNCT
ajird-925	7	6	ibl	ibl	PROPN
ajird-925	7	7	)	)	PUNCT
ajird-925	7	8	is	be	AUX
ajird-925	7	9	a	a	DET
ajird-925	7	10	powerful	powerful	ADJ
ajird-925	7	11	approach	approach	NOUN
ajird-925	7	12	for	for	ADP
ajird-925	7	13	developing	develop	VERB
ajird-925	7	14	higher	high	ADJ
ajird-925	7	15	-	-	PUNCT
ajird-925	7	16	level	level	NOUN
ajird-925	7	17	thinking	thinking	NOUN
ajird-925	7	18	skills	skill	NOUN
ajird-925	7	19	in	in	ADP
ajird-925	7	20	mathematics	mathematic	NOUN
ajird-925	7	21	lessons	lesson	NOUN
ajird-925	7	22	.	.	PUNCT
ajird-925	8	1	it	it	PRON
ajird-925	8	2	engages	engage	VERB
ajird-925	8	3	students	student	NOUN
ajird-925	8	4	in	in	ADP
ajird-925	8	5	active	active	ADJ
ajird-925	8	6	exploration	exploration	NOUN
ajird-925	8	7	and	and	CCONJ
ajird-925	8	8	investigation	investigation	NOUN
ajird-925	8	9	,	,	PUNCT
ajird-925	8	10	promoting	promote	VERB
ajird-925	8	11	critical	critical	ADJ
ajird-925	8	12	thinking	thinking	NOUN
ajird-925	8	13	,	,	PUNCT
ajird-925	8	14	problem	problem	NOUN
ajird-925	8	15	-	-	PUNCT
ajird-925	8	16	solving	solve	VERB
ajird-925	8	17	abilities	ability	NOUN
ajird-925	8	18	,	,	PUNCT
ajird-925	8	19	and	and	CCONJ
ajird-925	8	20	a	a	DET
ajird-925	8	21	deeper	deep	ADJ
ajird-925	8	22	understanding	understanding	NOUN
ajird-925	8	23	of	of	ADP
ajird-925	8	24	mathematical	mathematical	ADJ
ajird-925	8	25	concepts	concept	NOUN
ajird-925	8	26	.	.	PUNCT
ajird-925	9	1	open	open	ADJ
ajird-925	9	2	-	-	PUNCT
ajird-925	9	3	ended	end	VERB
ajird-925	9	4	questions	question	NOUN
ajird-925	9	5	pose	pose	VERB
ajird-925	9	6	open	open	ADV
ajird-925	9	7	-	-	PUNCT
ajird-925	9	8	ended	end	VERB
ajird-925	9	9	questions	question	NOUN
ajird-925	9	10	that	that	PRON
ajird-925	9	11	challenge	challenge	VERB
ajird-925	9	12	students	student	NOUN
ajird-925	9	13	to	to	PART
ajird-925	9	14	think	think	VERB
ajird-925	9	15	deeply	deeply	ADV
ajird-925	9	16	and	and	CCONJ
ajird-925	9	17	explore	explore	VERB
ajird-925	9	18	mathematical	mathematical	ADJ
ajird-925	9	19	concepts	concept	NOUN
ajird-925	9	20	.	.	PUNCT
ajird-925	10	1	these	these	DET
ajird-925	10	2	questions	question	NOUN
ajird-925	10	3	should	should	AUX
ajird-925	10	4	have	have	VERB
ajird-925	10	5	multiple	multiple	ADJ
ajird-925	10	6	possible	possible	ADJ
ajird-925	10	7	solutions	solution	NOUN
ajird-925	10	8	or	or	CCONJ
ajird-925	10	9	approaches	approach	NOUN
ajird-925	10	10	,	,	PUNCT
ajird-925	10	11	encouraging	encourage	VERB
ajird-925	10	12	students	student	NOUN
ajird-925	10	13	to	to	PART
ajird-925	10	14	analyze	analyze	VERB
ajird-925	10	15	,	,	PUNCT
ajird-925	10	16	evaluate	evaluate	VERB
ajird-925	10	17	,	,	PUNCT
ajird-925	10	18	and	and	CCONJ
ajird-925	10	19	justify	justify	VERB
ajird-925	10	20	their	their	PRON
ajird-925	10	21	reasoning	reasoning	NOUN
ajird-925	10	22	.	.	PUNCT
ajird-925	11	1	for	for	ADP
ajird-925	11	2	example	example	NOUN
ajird-925	11	3	,	,	PUNCT
ajird-925	11	4	instead	instead	ADV
ajird-925	11	5	of	of	ADP
ajird-925	11	6	asking	ask	VERB
ajird-925	11	7	for	for	ADP
ajird-925	11	8	a	a	DET
ajird-925	11	9	simple	simple	ADJ
ajird-925	11	10	calculation	calculation	NOUN
ajird-925	11	11	,	,	PUNCT
ajird-925	11	12	ask	ask	VERB
ajird-925	11	13	students	student	NOUN
ajird-925	11	14	why	why	SCONJ
ajird-925	11	15	a	a	DET
ajird-925	11	16	particular	particular	ADJ
ajird-925	11	17	mathematical	mathematical	ADJ
ajird-925	11	18	relationship	relationship	NOUN
ajird-925	11	19	exists	exist	VERB
ajird-925	11	20	or	or	CCONJ
ajird-925	11	21	how	how	SCONJ
ajird-925	11	22	it	it	PRON
ajird-925	11	23	can	can	AUX
ajird-925	11	24	be	be	AUX
ajird-925	11	25	applied	apply	VERB
ajird-925	11	26	in	in	ADP
ajird-925	11	27	different	different	ADJ
ajird-925	11	28	contexts	contexts	NOUN
ajird-925	11	29	.	.	PUNCT
ajird-925	12	1	open	open	ADJ
ajird-925	12	2	-	-	PUNCT
ajird-925	12	3	ended	end	VERB
ajird-925	12	4	questions	question	NOUN
ajird-925	12	5	play	play	VERB
ajird-925	12	6	a	a	DET
ajird-925	12	7	critical	critical	ADJ
ajird-925	12	8	role	role	NOUN
ajird-925	12	9	in	in	ADP
ajird-925	12	10	inquiry	inquiry	NOUN
ajird-925	12	11	-	-	PUNCT
ajird-925	12	12	based	base	VERB
ajird-925	12	13	learning	learning	NOUN
ajird-925	12	14	(	(	PUNCT
ajird-925	12	15	ibl	ibl	PROPN
ajird-925	12	16	)	)	PUNCT
ajird-925	12	17	as	as	SCONJ
ajird-925	12	18	they	they	PRON
ajird-925	12	19	stimulate	stimulate	VERB
ajird-925	12	20	critical	critical	ADJ
ajird-925	12	21	thinking	thinking	NOUN
ajird-925	12	22	,	,	PUNCT
ajird-925	12	23	promote	promote	VERB
ajird-925	12	24	exploration	exploration	NOUN
ajird-925	12	25	,	,	PUNCT
ajird-925	12	26	and	and	CCONJ
ajird-925	12	27	encourage	encourage	VERB
ajird-925	12	28	students	student	NOUN
ajird-925	12	29	to	to	PART
ajird-925	12	30	delve	delve	VERB
ajird-925	12	31	deeper	deeply	ADV
ajird-925	12	32	into	into	ADP
ajird-925	12	33	mathematical	mathematical	ADJ
ajird-925	12	34	concepts	concept	NOUN
ajird-925	12	35	.	.	PUNCT
ajird-925	13	1	here	here	ADV
ajird-925	13	2	are	be	AUX
ajird-925	13	3	some	some	DET
ajird-925	13	4	strategies	strategy	NOUN
ajird-925	13	5	for	for	ADP
ajird-925	13	6	using	use	VERB
ajird-925	13	7	open	open	ADJ
ajird-925	13	8	-	-	PUNCT
ajird-925	13	9	ended	end	VERB
ajird-925	13	10	questions	question	NOUN
ajird-925	13	11	effectively	effectively	ADV
ajird-925	13	12	in	in	ADP
ajird-925	13	13	ibl	ibl	PROPN
ajird-925	13	14	:	:	PUNCT
ajird-925	13	15	begin	begin	VERB
ajird-925	13	16	by	by	ADP
ajird-925	13	17	posing	pose	VERB
ajird-925	13	18	open	open	ADV
ajird-925	13	19	-	-	PUNCT
ajird-925	13	20	ended	end	VERB
ajird-925	13	21	questions	question	NOUN
ajird-925	13	22	that	that	PRON
ajird-925	13	23	spark	spark	VERB
ajird-925	13	24	curiosity	curiosity	NOUN
ajird-925	13	25	and	and	CCONJ
ajird-925	13	26	encourage	encourage	VERB
ajird-925	13	27	students	student	NOUN
ajird-925	13	28	to	to	PART
ajird-925	13	29	explore	explore	VERB
ajird-925	13	30	a	a	DET
ajird-925	13	31	mathematical	mathematical	ADJ
ajird-925	13	32	concept	concept	NOUN
ajird-925	13	33	or	or	CCONJ
ajird-925	13	34	problem	problem	NOUN
ajird-925	13	35	.	.	PUNCT
ajird-925	14	1	these	these	DET
ajird-925	14	2	questions	question	NOUN
ajird-925	14	3	should	should	AUX
ajird-925	14	4	have	have	VERB
ajird-925	14	5	multiple	multiple	ADJ
ajird-925	14	6	possible	possible	ADJ
ajird-925	14	7	answers	answer	NOUN
ajird-925	14	8	or	or	CCONJ
ajird-925	14	9	approaches	approach	NOUN
ajird-925	14	10	,	,	PUNCT
ajird-925	14	11	allowing	allow	VERB
ajird-925	14	12	students	student	NOUN
ajird-925	14	13	to	to	PART
ajird-925	14	14	investigate	investigate	VERB
ajird-925	14	15	different	different	ADJ
ajird-925	14	16	avenues	avenue	NOUN
ajird-925	14	17	and	and	CCONJ
ajird-925	14	18	think	think	VERB
ajird-925	14	19	creatively	creatively	ADV
ajird-925	14	20	.	.	PUNCT
ajird-925	15	1	for	for	ADP
ajird-925	15	2	example	example	NOUN
ajird-925	15	3	,	,	PUNCT
ajird-925	15	4	instead	instead	ADV
ajird-925	15	5	of	of	ADP
ajird-925	15	6	asking	ask	VERB
ajird-925	15	7	"	"	PUNCT
ajird-925	15	8	what	what	PRON
ajird-925	15	9	is	be	AUX
ajird-925	15	10	the	the	DET
ajird-925	15	11	area	area	NOUN
ajird-925	15	12	of	of	ADP
ajird-925	15	13	this	this	DET
ajird-925	15	14	rectangle	rectangle	NOUN
ajird-925	15	15	?	?	PUNCT
ajird-925	15	16	"	"	PUNCT
ajird-925	15	17	ask	ask	VERB
ajird-925	15	18	"	"	PUNCT
ajird-925	15	19	how	how	SCONJ
ajird-925	15	20	can	can	AUX
ajird-925	15	21	we	we	PRON
ajird-925	15	22	determine	determine	VERB
ajird-925	15	23	the	the	DET
ajird-925	15	24	relationship	relationship	NOUN
ajird-925	15	25	between	between	ADP
ajird-925	15	26	the	the	DET
ajird-925	15	27	length	length	NOUN
ajird-925	15	28	and	and	CCONJ
ajird-925	15	29	width	width	NOUN
ajird-925	15	30	of	of	ADP
ajird-925	15	31	a	a	DET
ajird-925	15	32	rectangle	rectangle	NOUN
ajird-925	15	33	to	to	PART
ajird-925	15	34	maximize	maximize	VERB
ajird-925	15	35	its	its	PRON
ajird-925	15	36	area	area	NOUN
ajird-925	15	37	?	?	PUNCT
ajird-925	15	38	"	"	PUNCT
ajird-925	15	39	american	american	ADJ
ajird-925	15	40	journal	journal	PROPN
ajird-925	15	41	of	of	ADP
ajird-925	15	42	interdisciplinary	interdisciplinary	ADJ
ajird-925	15	43	research	research	NOUN
ajird-925	15	44	and	and	CCONJ
ajird-925	15	45	development	development	NOUN
ajird-925	15	46	issn	issn	PROPN
ajird-925	15	47	online	online	NOUN
ajird-925	15	48	:	:	PUNCT
ajird-925	15	49	2771	2771	NUM
ajird-925	15	50	-	-	SYM
ajird-925	15	51	8948	8948	NUM
ajird-925	15	52	website	website	NOUN
ajird-925	15	53	:	:	PUNCT
ajird-925	15	54	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-925	15	55	volume	volume	NOUN
ajird-925	15	56	24	24	NUM
ajird-925	15	57	,	,	PUNCT
ajird-925	15	58	january	january	PROPN
ajird-925	15	59	,	,	PUNCT
ajird-925	15	60	2024	2024	NUM
ajird-925	15	61	47	47	NUM
ajird-925	16	1	|	|	ADV
ajird-925	16	2	p	p	X
ajird-925	16	3	a	a	DET
ajird-925	16	4	g	g	NOUN
ajird-925	16	5	e	e	NOUN
ajird-925	16	6	open	open	ADV
ajird-925	16	7	-	-	PUNCT
ajird-925	16	8	ended	end	VERB
ajird-925	16	9	questions	question	NOUN
ajird-925	16	10	should	should	AUX
ajird-925	16	11	prompt	prompt	VERB
ajird-925	16	12	students	student	NOUN
ajird-925	16	13	to	to	PART
ajird-925	16	14	provide	provide	VERB
ajird-925	16	15	reasoning	reasoning	NOUN
ajird-925	16	16	and	and	CCONJ
ajird-925	16	17	justification	justification	NOUN
ajird-925	16	18	for	for	ADP
ajird-925	16	19	their	their	PRON
ajird-925	16	20	answers	answer	NOUN
ajird-925	16	21	or	or	CCONJ
ajird-925	16	22	solutions	solution	NOUN
ajird-925	16	23	.	.	PUNCT
ajird-925	17	1	encourage	encourage	VERB
ajird-925	17	2	them	they	PRON
ajird-925	17	3	to	to	PART
ajird-925	17	4	explain	explain	VERB
ajird-925	17	5	their	their	PRON
ajird-925	17	6	thought	thought	NOUN
ajird-925	17	7	processes	process	NOUN
ajird-925	17	8	,	,	PUNCT
ajird-925	17	9	describe	describe	VERB
ajird-925	17	10	the	the	DET
ajird-925	17	11	strategies	strategy	NOUN
ajird-925	17	12	they	they	PRON
ajird-925	17	13	used	use	VERB
ajird-925	17	14	,	,	PUNCT
ajird-925	17	15	and	and	CCONJ
ajird-925	17	16	provide	provide	VERB
ajird-925	17	17	evidence	evidence	NOUN
ajird-925	17	18	to	to	PART
ajird-925	17	19	support	support	VERB
ajird-925	17	20	their	their	PRON
ajird-925	17	21	conclusions	conclusion	NOUN
ajird-925	17	22	.	.	PUNCT
ajird-925	18	1	this	this	PRON
ajird-925	18	2	helps	help	VERB
ajird-925	18	3	develop	develop	VERB
ajird-925	18	4	students	student	NOUN
ajird-925	18	5	'	'	PART
ajird-925	18	6	ability	ability	NOUN
ajird-925	18	7	to	to	PART
ajird-925	18	8	articulate	articulate	VERB
ajird-925	18	9	their	their	PRON
ajird-925	18	10	mathematical	mathematical	ADJ
ajird-925	18	11	thinking	thinking	NOUN
ajird-925	18	12	and	and	CCONJ
ajird-925	18	13	strengthens	strengthen	VERB
ajird-925	18	14	their	their	PRON
ajird-925	18	15	logical	logical	ADJ
ajird-925	18	16	reasoning	reasoning	NOUN
ajird-925	18	17	skills	skill	NOUN
ajird-925	18	18	.	.	PUNCT
ajird-925	19	1	provide	provide	VERB
ajird-925	19	2	scaffolding	scaffold	VERB
ajird-925	19	3	to	to	PART
ajird-925	19	4	support	support	VERB
ajird-925	19	5	students	student	NOUN
ajird-925	19	6	in	in	ADP
ajird-925	19	7	generating	generate	VERB
ajird-925	19	8	open	open	ADV
ajird-925	19	9	-	-	PUNCT
ajird-925	19	10	ended	end	VERB
ajird-925	19	11	questions	question	NOUN
ajird-925	19	12	themselves	themselves	PRON
ajird-925	19	13	.	.	PUNCT
ajird-925	20	1	guide	guide	VERB
ajird-925	20	2	them	they	PRON
ajird-925	20	3	in	in	ADP
ajird-925	20	4	asking	ask	VERB
ajird-925	20	5	questions	question	NOUN
ajird-925	20	6	that	that	PRON
ajird-925	20	7	delve	delve	VERB
ajird-925	20	8	deeper	deeply	ADV
ajird-925	20	9	into	into	ADP
ajird-925	20	10	the	the	DET
ajird-925	20	11	mathematical	mathematical	ADJ
ajird-925	20	12	concept	concept	NOUN
ajird-925	20	13	,	,	PUNCT
ajird-925	20	14	consider	consider	VERB
ajird-925	20	15	different	different	ADJ
ajird-925	20	16	perspectives	perspective	NOUN
ajird-925	20	17	,	,	PUNCT
ajird-925	20	18	or	or	CCONJ
ajird-925	20	19	explore	explore	VERB
ajird-925	20	20	connections	connection	NOUN
ajird-925	20	21	to	to	ADP
ajird-925	20	22	real	real	ADJ
ajird-925	20	23	-	-	PUNCT
ajird-925	20	24	world	world	NOUN
ajird-925	20	25	contexts	contexts	NOUN
ajird-925	20	26	.	.	PUNCT
ajird-925	21	1	gradually	gradually	ADV
ajird-925	21	2	transfer	transfer	VERB
ajird-925	21	3	the	the	DET
ajird-925	21	4	responsibility	responsibility	NOUN
ajird-925	21	5	of	of	ADP
ajird-925	21	6	questioning	question	VERB
ajird-925	21	7	to	to	ADP
ajird-925	21	8	the	the	DET
ajird-925	21	9	students	student	NOUN
ajird-925	21	10	,	,	PUNCT
ajird-925	21	11	fostering	foster	VERB
ajird-925	21	12	their	their	PRON
ajird-925	21	13	independence	independence	NOUN
ajird-925	21	14	and	and	CCONJ
ajird-925	21	15	promoting	promote	VERB
ajird-925	21	16	a	a	DET
ajird-925	21	17	culture	culture	NOUN
ajird-925	21	18	of	of	ADP
ajird-925	21	19	inquiry	inquiry	NOUN
ajird-925	21	20	in	in	ADP
ajird-925	21	21	the	the	DET
ajird-925	21	22	classroom	classroom	NOUN
ajird-925	21	23	.	.	PUNCT
ajird-925	22	1	encourage	encourage	VERB
ajird-925	22	2	students	student	NOUN
ajird-925	22	3	to	to	PART
ajird-925	22	4	engage	engage	VERB
ajird-925	22	5	in	in	ADP
ajird-925	22	6	collaborative	collaborative	ADJ
ajird-925	22	7	discussions	discussion	NOUN
ajird-925	22	8	around	around	ADP
ajird-925	22	9	open	open	ADV
ajird-925	22	10	-	-	PUNCT
ajird-925	22	11	ended	end	VERB
ajird-925	22	12	questions	question	NOUN
ajird-925	22	13	.	.	PUNCT
ajird-925	23	1	group	group	NOUN
ajird-925	23	2	work	work	NOUN
ajird-925	23	3	allows	allow	VERB
ajird-925	23	4	students	student	NOUN
ajird-925	23	5	to	to	PART
ajird-925	23	6	share	share	VERB
ajird-925	23	7	their	their	PRON
ajird-925	23	8	ideas	idea	NOUN
ajird-925	23	9	,	,	PUNCT
ajird-925	23	10	challenge	challenge	VERB
ajird-925	23	11	one	one	NOUN
ajird-925	23	12	another	another	PRON
ajird-925	23	13	's	's	PART
ajird-925	23	14	thinking	thinking	NOUN
ajird-925	23	15	,	,	PUNCT
ajird-925	23	16	and	and	CCONJ
ajird-925	23	17	build	build	VERB
ajird-925	23	18	upon	upon	SCONJ
ajird-925	23	19	each	each	DET
ajird-925	23	20	other	other	ADJ
ajird-925	23	21	's	's	PART
ajird-925	23	22	insights	insight	NOUN
ajird-925	23	23	.	.	PUNCT
ajird-925	24	1	collaborative	collaborative	ADJ
ajird-925	24	2	inquiry	inquiry	NOUN
ajird-925	24	3	promotes	promote	VERB
ajird-925	24	4	critical	critical	ADJ
ajird-925	24	5	thinking	thinking	NOUN
ajird-925	24	6	,	,	PUNCT
ajird-925	24	7	as	as	SCONJ
ajird-925	24	8	students	student	NOUN
ajird-925	24	9	learn	learn	VERB
ajird-925	24	10	to	to	PART
ajird-925	24	11	consider	consider	VERB
ajird-925	24	12	multiple	multiple	ADJ
ajird-925	24	13	viewpoints	viewpoint	NOUN
ajird-925	24	14	,	,	PUNCT
ajird-925	24	15	evaluate	evaluate	VERB
ajird-925	24	16	different	different	ADJ
ajird-925	24	17	strategies	strategy	NOUN
ajird-925	24	18	,	,	PUNCT
ajird-925	24	19	and	and	CCONJ
ajird-925	24	20	construct	construct	VERB
ajird-925	24	21	coherent	coherent	ADJ
ajird-925	24	22	arguments	argument	NOUN
ajird-925	24	23	.	.	PUNCT
ajird-925	25	1	pose	pose	VERB
ajird-925	25	2	open	open	ADV
ajird-925	25	3	-	-	PUNCT
ajird-925	25	4	ended	end	VERB
ajird-925	25	5	questions	question	NOUN
ajird-925	25	6	that	that	PRON
ajird-925	25	7	require	require	VERB
ajird-925	25	8	higher	high	ADJ
ajird-925	25	9	-	-	PUNCT
ajird-925	25	10	level	level	NOUN
ajird-925	25	11	thinking	thinking	NOUN
ajird-925	25	12	skills	skill	NOUN
ajird-925	25	13	such	such	ADJ
ajird-925	25	14	as	as	ADP
ajird-925	25	15	analysis	analysis	NOUN
ajird-925	25	16	,	,	PUNCT
ajird-925	25	17	evaluation	evaluation	NOUN
ajird-925	25	18	,	,	PUNCT
ajird-925	25	19	and	and	CCONJ
ajird-925	25	20	synthesis	synthesis	NOUN
ajird-925	25	21	.	.	PUNCT
ajird-925	26	1	these	these	DET
ajird-925	26	2	questions	question	NOUN
ajird-925	26	3	should	should	AUX
ajird-925	26	4	go	go	VERB
ajird-925	26	5	beyond	beyond	ADP
ajird-925	26	6	simple	simple	ADJ
ajird-925	26	7	recall	recall	NOUN
ajird-925	26	8	or	or	CCONJ
ajird-925	26	9	procedural	procedural	ADJ
ajird-925	26	10	knowledge	knowledge	NOUN
ajird-925	26	11	and	and	CCONJ
ajird-925	26	12	prompt	prompt	ADJ
ajird-925	26	13	students	student	NOUN
ajird-925	26	14	to	to	PART
ajird-925	26	15	apply	apply	VERB
ajird-925	26	16	their	their	PRON
ajird-925	26	17	understanding	understanding	NOUN
ajird-925	26	18	,	,	PUNCT
ajird-925	26	19	make	make	VERB
ajird-925	26	20	connections	connection	NOUN
ajird-925	26	21	between	between	ADP
ajird-925	26	22	concepts	concept	NOUN
ajird-925	26	23	,	,	PUNCT
ajird-925	26	24	and	and	CCONJ
ajird-925	26	25	generate	generate	VERB
ajird-925	26	26	original	original	ADJ
ajird-925	26	27	ideas	idea	NOUN
ajird-925	26	28	.	.	PUNCT
ajird-925	27	1	for	for	ADP
ajird-925	27	2	example	example	NOUN
ajird-925	27	3	,	,	PUNCT
ajird-925	27	4	ask	ask	VERB
ajird-925	27	5	students	student	NOUN
ajird-925	27	6	to	to	PART
ajird-925	27	7	propose	propose	VERB
ajird-925	27	8	alternative	alternative	ADJ
ajird-925	27	9	methods	method	NOUN
ajird-925	27	10	to	to	PART
ajird-925	27	11	solve	solve	VERB
ajird-925	27	12	a	a	DET
ajird-925	27	13	problem	problem	NOUN
ajird-925	27	14	or	or	CCONJ
ajird-925	27	15	to	to	PART
ajird-925	27	16	consider	consider	VERB
ajird-925	27	17	the	the	DET
ajird-925	27	18	limitations	limitation	NOUN
ajird-925	27	19	of	of	ADP
ajird-925	27	20	a	a	DET
ajird-925	27	21	particular	particular	ADJ
ajird-925	27	22	mathematical	mathematical	ADJ
ajird-925	27	23	model	model	NOUN
ajird-925	27	24	.	.	PUNCT
ajird-925	28	1	incorporate	incorporate	VERB
ajird-925	28	2	opportunities	opportunity	NOUN
ajird-925	28	3	for	for	ADP
ajird-925	28	4	reflection	reflection	NOUN
ajird-925	28	5	after	after	ADP
ajird-925	28	6	engaging	engage	VERB
ajird-925	28	7	with	with	ADP
ajird-925	28	8	open	open	ADV
ajird-925	28	9	-	-	PUNCT
ajird-925	28	10	ended	end	VERB
ajird-925	28	11	questions	question	NOUN
ajird-925	28	12	.	.	PUNCT
ajird-925	29	1	encourage	encourage	VERB
ajird-925	29	2	students	student	NOUN
ajird-925	29	3	to	to	PART
ajird-925	29	4	reflect	reflect	VERB
ajird-925	29	5	on	on	ADP
ajird-925	29	6	their	their	PRON
ajird-925	29	7	learning	learning	NOUN
ajird-925	29	8	process	process	NOUN
ajird-925	29	9	,	,	PUNCT
ajird-925	29	10	the	the	DET
ajird-925	29	11	challenges	challenge	NOUN
ajird-925	29	12	they	they	PRON
ajird-925	29	13	encountered	encounter	VERB
ajird-925	29	14	,	,	PUNCT
ajird-925	29	15	and	and	CCONJ
ajird-925	29	16	the	the	DET
ajird-925	29	17	strategies	strategy	NOUN
ajird-925	29	18	they	they	PRON
ajird-925	29	19	employed	employ	VERB
ajird-925	29	20	.	.	PUNCT
ajird-925	30	1	this	this	DET
ajird-925	30	2	metacognitive	metacognitive	ADJ
ajird-925	30	3	reflection	reflection	NOUN
ajird-925	30	4	helps	help	VERB
ajird-925	30	5	students	student	NOUN
ajird-925	30	6	develop	develop	VERB
ajird-925	30	7	self	self	NOUN
ajird-925	30	8	-	-	PUNCT
ajird-925	30	9	awareness	awareness	NOUN
ajird-925	30	10	,	,	PUNCT
ajird-925	30	11	identify	identify	VERB
ajird-925	30	12	areas	area	NOUN
ajird-925	30	13	for	for	ADP
ajird-925	30	14	growth	growth	NOUN
ajird-925	30	15	,	,	PUNCT
ajird-925	30	16	and	and	CCONJ
ajird-925	30	17	refine	refine	VERB
ajird-925	30	18	their	their	PRON
ajird-925	30	19	problem	problem	NOUN
ajird-925	30	20	-	-	PUNCT
ajird-925	30	21	solving	solve	VERB
ajird-925	30	22	skills	skill	NOUN
ajird-925	30	23	.	.	PUNCT
ajird-925	31	1	offer	offer	VERB
ajird-925	31	2	constructive	constructive	ADJ
ajird-925	31	3	feedback	feedback	NOUN
ajird-925	31	4	on	on	ADP
ajird-925	31	5	students	student	NOUN
ajird-925	31	6	'	'	PART
ajird-925	31	7	responses	response	NOUN
ajird-925	31	8	to	to	PART
ajird-925	31	9	open	open	VERB
ajird-925	31	10	-	-	PUNCT
ajird-925	31	11	ended	end	VERB
ajird-925	31	12	questions	question	NOUN
ajird-925	31	13	.	.	PUNCT
ajird-925	32	1	focus	focus	VERB
ajird-925	32	2	on	on	ADP
ajird-925	32	3	highlighting	highlight	VERB
ajird-925	32	4	strengths	strength	NOUN
ajird-925	32	5	,	,	PUNCT
ajird-925	32	6	addressing	address	VERB
ajird-925	32	7	misconceptions	misconception	NOUN
ajird-925	32	8	,	,	PUNCT
ajird-925	32	9	and	and	CCONJ
ajird-925	32	10	encouraging	encourage	VERB
ajird-925	32	11	further	further	ADJ
ajird-925	32	12	exploration	exploration	NOUN
ajird-925	32	13	.	.	PUNCT
ajird-925	33	1	feedback	feedback	NOUN
ajird-925	33	2	should	should	AUX
ajird-925	33	3	not	not	PART
ajird-925	33	4	only	only	ADV
ajird-925	33	5	focus	focus	VERB
ajird-925	33	6	on	on	ADP
ajird-925	33	7	the	the	DET
ajird-925	33	8	correctness	correctness	NOUN
ajird-925	33	9	of	of	ADP
ajird-925	33	10	answers	answer	NOUN
ajird-925	33	11	but	but	CCONJ
ajird-925	33	12	also	also	ADV
ajird-925	33	13	on	on	ADP
ajird-925	33	14	the	the	DET
ajird-925	33	15	depth	depth	NOUN
ajird-925	33	16	of	of	ADP
ajird-925	33	17	thinking	thinking	NOUN
ajird-925	33	18	,	,	PUNCT
ajird-925	33	19	clarity	clarity	NOUN
ajird-925	33	20	of	of	ADP
ajird-925	33	21	reasoning	reasoning	NOUN
ajird-925	33	22	,	,	PUNCT
ajird-925	33	23	and	and	CCONJ
ajird-925	33	24	use	use	NOUN
ajird-925	33	25	of	of	ADP
ajird-925	33	26	mathematical	mathematical	ADJ
ajird-925	33	27	language	language	NOUN
ajird-925	33	28	.	.	PUNCT
ajird-925	34	1	by	by	ADP
ajird-925	34	2	using	use	VERB
ajird-925	34	3	open	open	ADJ
ajird-925	34	4	-	-	PUNCT
ajird-925	34	5	ended	end	VERB
ajird-925	34	6	questions	question	NOUN
ajird-925	34	7	effectively	effectively	ADV
ajird-925	34	8	in	in	ADP
ajird-925	34	9	ibl	ibl	PROPN
ajird-925	34	10	,	,	PUNCT
ajird-925	34	11	educators	educator	NOUN
ajird-925	34	12	can	can	AUX
ajird-925	34	13	foster	foster	VERB
ajird-925	34	14	critical	critical	ADJ
ajird-925	34	15	thinking	thinking	NOUN
ajird-925	34	16	,	,	PUNCT
ajird-925	34	17	creativity	creativity	NOUN
ajird-925	34	18	,	,	PUNCT
ajird-925	34	19	and	and	CCONJ
ajird-925	34	20	a	a	DET
ajird-925	34	21	deeper	deep	ADJ
ajird-925	34	22	understanding	understanding	NOUN
ajird-925	34	23	of	of	ADP
ajird-925	34	24	mathematical	mathematical	ADJ
ajird-925	34	25	concepts	concept	NOUN
ajird-925	34	26	.	.	PUNCT
ajird-925	35	1	these	these	DET
ajird-925	35	2	questions	question	NOUN
ajird-925	35	3	encourage	encourage	VERB
ajird-925	35	4	students	student	NOUN
ajird-925	35	5	to	to	PART
ajird-925	35	6	explore	explore	VERB
ajird-925	35	7	,	,	PUNCT
ajird-925	35	8	analyze	analyze	VERB
ajird-925	35	9	,	,	PUNCT
ajird-925	35	10	and	and	CCONJ
ajird-925	35	11	justify	justify	VERB
ajird-925	35	12	their	their	PRON
ajird-925	35	13	thinking	thinking	NOUN
ajird-925	35	14	,	,	PUNCT
ajird-925	35	15	cultivating	cultivate	VERB
ajird-925	35	16	a	a	DET
ajird-925	35	17	sense	sense	NOUN
ajird-925	35	18	of	of	ADP
ajird-925	35	19	curiosity	curiosity	NOUN
ajird-925	35	20	and	and	CCONJ
ajird-925	35	21	a	a	DET
ajird-925	35	22	passion	passion	NOUN
ajird-925	35	23	for	for	ADP
ajird-925	35	24	mathematical	mathematical	ADJ
ajird-925	35	25	inquiry	inquiry	NOUN
ajird-925	35	26	.	.	PUNCT
ajird-925	36	1	assign	assign	VERB
ajird-925	36	2	investigative	investigative	ADJ
ajird-925	36	3	projects	project	NOUN
ajird-925	36	4	that	that	PRON
ajird-925	36	5	require	require	VERB
ajird-925	36	6	students	student	NOUN
ajird-925	36	7	to	to	PART
ajird-925	36	8	explore	explore	VERB
ajird-925	36	9	a	a	DET
ajird-925	36	10	mathematical	mathematical	ADJ
ajird-925	36	11	topic	topic	NOUN
ajird-925	36	12	or	or	CCONJ
ajird-925	36	13	problem	problem	NOUN
ajird-925	36	14	in	in	ADP
ajird-925	36	15	depth	depth	NOUN
ajird-925	36	16	.	.	PUNCT
ajird-925	37	1	provide	provide	VERB
ajird-925	37	2	guiding	guide	VERB
ajird-925	37	3	questions	question	NOUN
ajird-925	37	4	or	or	CCONJ
ajird-925	37	5	prompts	prompt	NOUN
ajird-925	37	6	that	that	PRON
ajird-925	37	7	stimulate	stimulate	VERB
ajird-925	37	8	their	their	PRON
ajird-925	37	9	curiosity	curiosity	NOUN
ajird-925	37	10	and	and	CCONJ
ajird-925	37	11	guide	guide	VERB
ajird-925	37	12	their	their	PRON
ajird-925	37	13	inquiry	inquiry	NOUN
ajird-925	37	14	.	.	PUNCT
ajird-925	38	1	students	student	NOUN
ajird-925	38	2	can	can	AUX
ajird-925	38	3	conduct	conduct	VERB
ajird-925	38	4	experiments	experiment	NOUN
ajird-925	38	5	,	,	PUNCT
ajird-925	38	6	collect	collect	VERB
ajird-925	38	7	data	datum	NOUN
ajird-925	38	8	,	,	PUNCT
ajird-925	38	9	analyze	analyze	VERB
ajird-925	38	10	patterns	pattern	NOUN
ajird-925	38	11	,	,	PUNCT
ajird-925	38	12	make	make	VERB
ajird-925	38	13	conjectures	conjecture	NOUN
ajird-925	38	14	,	,	PUNCT
ajird-925	38	15	and	and	CCONJ
ajird-925	38	16	draw	draw	VERB
ajird-925	38	17	conclusions	conclusion	NOUN
ajird-925	38	18	.	.	PUNCT
ajird-925	39	1	this	this	DET
ajird-925	39	2	process	process	NOUN
ajird-925	39	3	develops	develop	VERB
ajird-925	39	4	their	their	PRON
ajird-925	39	5	analytical	analytical	ADJ
ajird-925	39	6	and	and	CCONJ
ajird-925	39	7	logical	logical	ADJ
ajird-925	39	8	thinking	thinking	NOUN
ajird-925	39	9	skills	skill	NOUN
ajird-925	39	10	as	as	SCONJ
ajird-925	39	11	they	they	PRON
ajird-925	39	12	actively	actively	ADV
ajird-925	39	13	engage	engage	VERB
ajird-925	39	14	in	in	ADP
ajird-925	39	15	problem	problem	NOUN
ajird-925	39	16	-	-	PUNCT
ajird-925	39	17	solving	solving	NOUN
ajird-925	39	18	and	and	CCONJ
ajird-925	39	19	discovery	discovery	NOUN
ajird-925	39	20	.	.	PUNCT
ajird-925	40	1	present	present	ADJ
ajird-925	40	2	students	student	NOUN
ajird-925	40	3	with	with	ADP
ajird-925	40	4	real	real	ADJ
ajird-925	40	5	-	-	PUNCT
ajird-925	40	6	world	world	NOUN
ajird-925	40	7	or	or	CCONJ
ajird-925	40	8	complex	complex	ADJ
ajird-925	40	9	mathematical	mathematical	ADJ
ajird-925	40	10	problems	problem	NOUN
ajird-925	40	11	that	that	PRON
ajird-925	40	12	require	require	VERB
ajird-925	40	13	higher	high	ADJ
ajird-925	40	14	-	-	PUNCT
ajird-925	40	15	level	level	NOUN
ajird-925	40	16	thinking	thinking	NOUN
ajird-925	40	17	.	.	PUNCT
ajird-925	41	1	these	these	DET
ajird-925	41	2	problems	problem	NOUN
ajird-925	41	3	should	should	AUX
ajird-925	41	4	challenge	challenge	VERB
ajird-925	41	5	students	student	NOUN
ajird-925	41	6	to	to	PART
ajird-925	41	7	analyze	analyze	VERB
ajird-925	41	8	the	the	DET
ajird-925	41	9	situation	situation	NOUN
ajird-925	41	10	,	,	PUNCT
ajird-925	41	11	break	break	VERB
ajird-925	41	12	it	it	PRON
ajird-925	41	13	down	down	ADP
ajird-925	41	14	into	into	ADP
ajird-925	41	15	smaller	small	ADJ
ajird-925	41	16	parts	part	NOUN
ajird-925	41	17	,	,	PUNCT
ajird-925	41	18	and	and	CCONJ
ajird-925	41	19	apply	apply	VERB
ajird-925	41	20	their	their	PRON
ajird-925	41	21	mathematical	mathematical	ADJ
ajird-925	41	22	knowledge	knowledge	NOUN
ajird-925	41	23	to	to	PART
ajird-925	41	24	find	find	VERB
ajird-925	41	25	solutions	solution	NOUN
ajird-925	41	26	.	.	PUNCT
ajird-925	42	1	encourage	encourage	VERB
ajird-925	42	2	students	student	NOUN
ajird-925	42	3	to	to	PART
ajird-925	42	4	use	use	VERB
ajird-925	42	5	multiple	multiple	ADJ
ajird-925	42	6	strategies	strategy	NOUN
ajird-925	42	7	,	,	PUNCT
ajird-925	42	8	make	make	VERB
ajird-925	42	9	connections	connection	NOUN
ajird-925	42	10	between	between	ADP
ajird-925	42	11	different	different	ADJ
ajird-925	42	12	concepts	concept	NOUN
ajird-925	42	13	,	,	PUNCT
ajird-925	42	14	and	and	CCONJ
ajird-925	42	15	evaluate	evaluate	VERB
ajird-925	42	16	the	the	DET
ajird-925	42	17	reasonableness	reasonableness	NOUN
ajird-925	42	18	of	of	ADP
ajird-925	42	19	their	their	PRON
ajird-925	42	20	answers	answer	NOUN
ajird-925	42	21	.	.	PUNCT
ajird-925	43	1	american	american	ADJ
ajird-925	43	2	journal	journal	PROPN
ajird-925	43	3	of	of	ADP
ajird-925	43	4	interdisciplinary	interdisciplinary	ADJ
ajird-925	43	5	research	research	NOUN
ajird-925	43	6	and	and	CCONJ
ajird-925	43	7	development	development	NOUN
ajird-925	43	8	issn	issn	PROPN
ajird-925	43	9	online	online	NOUN
ajird-925	43	10	:	:	PUNCT
ajird-925	43	11	2771	2771	NUM
ajird-925	43	12	-	-	SYM
ajird-925	43	13	8948	8948	NUM
ajird-925	43	14	website	website	NOUN
ajird-925	43	15	:	:	PUNCT
ajird-925	43	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-925	43	17	volume	volume	NOUN
ajird-925	43	18	24	24	NUM
ajird-925	43	19	,	,	PUNCT
ajird-925	43	20	january	january	PROPN
ajird-925	43	21	,	,	PUNCT
ajird-925	43	22	2024	2024	NUM
ajird-925	43	23	48	48	NUM
ajird-925	44	1	|	|	ADV
ajird-925	44	2	p	p	ADP
ajird-925	44	3	a	a	DET
ajird-925	44	4	g	g	NOUN
ajird-925	44	5	e	e	NOUN
ajird-925	44	6	student	student	NOUN
ajird-925	44	7	-	-	PUNCT
ajird-925	44	8	led	lead	VERB
ajird-925	44	9	investigations	investigation	NOUN
ajird-925	44	10	empower	empower	NOUN
ajird-925	44	11	students	student	NOUN
ajird-925	44	12	to	to	PART
ajird-925	44	13	take	take	VERB
ajird-925	44	14	ownership	ownership	NOUN
ajird-925	44	15	of	of	ADP
ajird-925	44	16	their	their	PRON
ajird-925	44	17	learning	learning	NOUN
ajird-925	44	18	by	by	ADP
ajird-925	44	19	allowing	allow	VERB
ajird-925	44	20	them	they	PRON
ajird-925	44	21	to	to	PART
ajird-925	44	22	design	design	VERB
ajird-925	44	23	their	their	PRON
ajird-925	44	24	own	own	ADJ
ajird-925	44	25	investigations	investigation	NOUN
ajird-925	44	26	or	or	CCONJ
ajird-925	44	27	research	research	NOUN
ajird-925	44	28	projects	project	NOUN
ajird-925	44	29	.	.	PUNCT
ajird-925	45	1	provide	provide	VERB
ajird-925	45	2	guidance	guidance	NOUN
ajird-925	45	3	and	and	CCONJ
ajird-925	45	4	support	support	NOUN
ajird-925	45	5	as	as	SCONJ
ajird-925	45	6	needed	need	VERB
ajird-925	45	7	,	,	PUNCT
ajird-925	45	8	but	but	CCONJ
ajird-925	45	9	give	give	VERB
ajird-925	45	10	students	student	NOUN
ajird-925	45	11	the	the	DET
ajird-925	45	12	freedom	freedom	NOUN
ajird-925	45	13	to	to	PART
ajird-925	45	14	choose	choose	VERB
ajird-925	45	15	a	a	DET
ajird-925	45	16	mathematical	mathematical	ADJ
ajird-925	45	17	topic	topic	NOUN
ajird-925	45	18	of	of	ADP
ajird-925	45	19	interest	interest	NOUN
ajird-925	45	20	and	and	CCONJ
ajird-925	45	21	explore	explore	VERB
ajird-925	45	22	it	it	PRON
ajird-925	45	23	in	in	ADP
ajird-925	45	24	depth	depth	NOUN
ajird-925	45	25	.	.	PUNCT
ajird-925	46	1	this	this	DET
ajird-925	46	2	approach	approach	NOUN
ajird-925	46	3	fosters	foster	VERB
ajird-925	46	4	creativity	creativity	NOUN
ajird-925	46	5	,	,	PUNCT
ajird-925	46	6	problem	problem	NOUN
ajird-925	46	7	-	-	PUNCT
ajird-925	46	8	solving	solve	VERB
ajird-925	46	9	skills	skill	NOUN
ajird-925	46	10	,	,	PUNCT
ajird-925	46	11	and	and	CCONJ
ajird-925	46	12	independent	independent	ADJ
ajird-925	46	13	thinking	thinking	NOUN
ajird-925	46	14	.	.	PUNCT
ajird-925	47	1	student	student	NOUN
ajird-925	47	2	-	-	PUNCT
ajird-925	47	3	led	lead	VERB
ajird-925	47	4	investigations	investigation	NOUN
ajird-925	47	5	are	be	AUX
ajird-925	47	6	an	an	DET
ajird-925	47	7	integral	integral	ADJ
ajird-925	47	8	component	component	NOUN
ajird-925	47	9	of	of	ADP
ajird-925	47	10	inquiry	inquiry	NOUN
ajird-925	47	11	-	-	PUNCT
ajird-925	47	12	based	base	VERB
ajird-925	47	13	learning	learning	NOUN
ajird-925	47	14	(	(	PUNCT
ajird-925	47	15	ibl	ibl	PROPN
ajird-925	47	16	)	)	PUNCT
ajird-925	47	17	in	in	ADP
ajird-925	47	18	mathematics	mathematic	NOUN
ajird-925	47	19	.	.	PUNCT
ajird-925	48	1	this	this	DET
ajird-925	48	2	approach	approach	NOUN
ajird-925	48	3	empowers	empower	VERB
ajird-925	48	4	students	student	NOUN
ajird-925	48	5	to	to	PART
ajird-925	48	6	take	take	VERB
ajird-925	48	7	ownership	ownership	NOUN
ajird-925	48	8	of	of	ADP
ajird-925	48	9	their	their	PRON
ajird-925	48	10	learning	learning	NOUN
ajird-925	48	11	,	,	PUNCT
ajird-925	48	12	promotes	promote	VERB
ajird-925	48	13	curiosity	curiosity	NOUN
ajird-925	48	14	,	,	PUNCT
ajird-925	48	15	and	and	CCONJ
ajird-925	48	16	develops	develop	VERB
ajird-925	48	17	critical	critical	ADJ
ajird-925	48	18	thinking	thinking	NOUN
ajird-925	48	19	skills	skill	NOUN
ajird-925	48	20	.	.	PUNCT
ajird-925	49	1	here	here	ADV
ajird-925	49	2	's	be	AUX
ajird-925	49	3	how	how	SCONJ
ajird-925	49	4	to	to	PART
ajird-925	49	5	facilitate	facilitate	VERB
ajird-925	49	6	student	student	NOUN
ajird-925	49	7	-	-	PUNCT
ajird-925	49	8	led	lead	VERB
ajird-925	49	9	investigations	investigation	NOUN
ajird-925	49	10	in	in	ADP
ajird-925	49	11	ibl	ibl	PROPN
ajird-925	49	12	:	:	PUNCT
ajird-925	49	13	topic	topic	NOUN
ajird-925	49	14	selection	selection	NOUN
ajird-925	49	15	:	:	PUNCT
ajird-925	49	16	allow	allow	VERB
ajird-925	49	17	students	student	NOUN
ajird-925	49	18	to	to	PART
ajird-925	49	19	choose	choose	VERB
ajird-925	49	20	their	their	PRON
ajird-925	49	21	own	own	ADJ
ajird-925	49	22	mathematical	mathematical	ADJ
ajird-925	49	23	topics	topic	NOUN
ajird-925	49	24	for	for	ADP
ajird-925	49	25	investigation	investigation	NOUN
ajird-925	49	26	.	.	PUNCT
ajird-925	50	1	provide	provide	VERB
ajird-925	50	2	a	a	DET
ajird-925	50	3	range	range	NOUN
ajird-925	50	4	of	of	ADP
ajird-925	50	5	options	option	NOUN
ajird-925	50	6	or	or	CCONJ
ajird-925	50	7	guide	guide	VERB
ajird-925	50	8	them	they	PRON
ajird-925	50	9	in	in	ADP
ajird-925	50	10	generating	generate	VERB
ajird-925	50	11	ideas	idea	NOUN
ajird-925	50	12	.	.	PUNCT
ajird-925	51	1	encourage	encourage	VERB
ajird-925	51	2	students	student	NOUN
ajird-925	51	3	to	to	PART
ajird-925	51	4	select	select	VERB
ajird-925	51	5	topics	topic	NOUN
ajird-925	51	6	that	that	PRON
ajird-925	51	7	interest	interest	VERB
ajird-925	51	8	them	they	PRON
ajird-925	51	9	or	or	CCONJ
ajird-925	51	10	align	align	VERB
ajird-925	51	11	with	with	ADP
ajird-925	51	12	their	their	PRON
ajird-925	51	13	personal	personal	ADJ
ajird-925	51	14	experiences	experience	NOUN
ajird-925	51	15	.	.	PUNCT
ajird-925	52	1	this	this	DET
ajird-925	52	2	choice	choice	NOUN
ajird-925	52	3	empowers	empower	VERB
ajird-925	52	4	students	student	NOUN
ajird-925	52	5	,	,	PUNCT
ajird-925	52	6	increases	increase	VERB
ajird-925	52	7	engagement	engagement	NOUN
ajird-925	52	8	,	,	PUNCT
ajird-925	52	9	and	and	CCONJ
ajird-925	52	10	promotes	promote	VERB
ajird-925	52	11	a	a	DET
ajird-925	52	12	sense	sense	NOUN
ajird-925	52	13	of	of	ADP
ajird-925	52	14	ownership	ownership	NOUN
ajird-925	52	15	over	over	ADP
ajird-925	52	16	their	their	PRON
ajird-925	52	17	learning	learning	NOUN
ajird-925	52	18	.	.	PUNCT
ajird-925	53	1	research	research	NOUN
ajird-925	53	2	and	and	CCONJ
ajird-925	53	3	planning	planning	NOUN
ajird-925	53	4	:	:	PUNCT
ajird-925	53	5	guide	guide	VERB
ajird-925	53	6	students	student	NOUN
ajird-925	53	7	in	in	ADP
ajird-925	53	8	conducting	conduct	VERB
ajird-925	53	9	research	research	NOUN
ajird-925	53	10	related	relate	VERB
ajird-925	53	11	to	to	ADP
ajird-925	53	12	their	their	PRON
ajird-925	53	13	chosen	choose	VERB
ajird-925	53	14	topic	topic	NOUN
ajird-925	53	15	.	.	PUNCT
ajird-925	54	1	teach	teach	VERB
ajird-925	54	2	them	they	PRON
ajird-925	54	3	how	how	SCONJ
ajird-925	54	4	to	to	PART
ajird-925	54	5	find	find	VERB
ajird-925	54	6	relevant	relevant	ADJ
ajird-925	54	7	information	information	NOUN
ajird-925	54	8	from	from	ADP
ajird-925	54	9	various	various	ADJ
ajird-925	54	10	sources	source	NOUN
ajird-925	54	11	,	,	PUNCT
ajird-925	54	12	such	such	ADJ
ajird-925	54	13	as	as	ADP
ajird-925	54	14	books	book	NOUN
ajird-925	54	15	,	,	PUNCT
ajird-925	54	16	articles	article	NOUN
ajird-925	54	17	,	,	PUNCT
ajird-925	54	18	websites	website	NOUN
ajird-925	54	19	,	,	PUNCT
ajird-925	54	20	or	or	CCONJ
ajird-925	54	21	interviews	interview	NOUN
ajird-925	54	22	.	.	PUNCT
ajird-925	55	1	help	help	VERB
ajird-925	55	2	students	student	NOUN
ajird-925	55	3	develop	develop	VERB
ajird-925	55	4	a	a	DET
ajird-925	55	5	research	research	NOUN
ajird-925	55	6	plan	plan	NOUN
ajird-925	55	7	,	,	PUNCT
ajird-925	55	8	including	include	VERB
ajird-925	55	9	identifying	identify	VERB
ajird-925	55	10	key	key	ADJ
ajird-925	55	11	questions	question	NOUN
ajird-925	55	12	,	,	PUNCT
ajird-925	55	13	setting	set	VERB
ajird-925	55	14	goals	goal	NOUN
ajird-925	55	15	,	,	PUNCT
ajird-925	55	16	and	and	CCONJ
ajird-925	55	17	determining	determine	VERB
ajird-925	55	18	appropriate	appropriate	ADJ
ajird-925	55	19	methods	method	NOUN
ajird-925	55	20	or	or	CCONJ
ajird-925	55	21	tools	tool	NOUN
ajird-925	55	22	for	for	ADP
ajird-925	55	23	investigation	investigation	NOUN
ajird-925	55	24	.	.	PUNCT
ajird-925	56	1	data	datum	NOUN
ajird-925	56	2	collection	collection	NOUN
ajird-925	56	3	and	and	CCONJ
ajird-925	56	4	analysis	analysis	NOUN
ajird-925	56	5	:	:	PUNCT
ajird-925	56	6	assist	assist	VERB
ajird-925	56	7	students	student	NOUN
ajird-925	56	8	in	in	ADP
ajird-925	56	9	collecting	collect	VERB
ajird-925	56	10	and	and	CCONJ
ajird-925	56	11	analyzing	analyze	VERB
ajird-925	56	12	data	datum	NOUN
ajird-925	56	13	relevant	relevant	ADJ
ajird-925	56	14	to	to	ADP
ajird-925	56	15	their	their	PRON
ajird-925	56	16	investigation	investigation	NOUN
ajird-925	56	17	.	.	PUNCT
ajird-925	57	1	this	this	PRON
ajird-925	57	2	can	can	AUX
ajird-925	57	3	involve	involve	VERB
ajird-925	57	4	conducting	conduct	VERB
ajird-925	57	5	surveys	survey	NOUN
ajird-925	57	6	,	,	PUNCT
ajird-925	57	7	performing	perform	VERB
ajird-925	57	8	experiments	experiment	NOUN
ajird-925	57	9	,	,	PUNCT
ajird-925	57	10	analyzing	analyze	VERB
ajird-925	57	11	real	real	ADJ
ajird-925	57	12	-	-	PUNCT
ajird-925	57	13	world	world	NOUN
ajird-925	57	14	data	data	NOUN
ajird-925	57	15	sets	set	NOUN
ajird-925	57	16	,	,	PUNCT
ajird-925	57	17	or	or	CCONJ
ajird-925	57	18	using	use	VERB
ajird-925	57	19	mathematical	mathematical	ADJ
ajird-925	57	20	models	model	NOUN
ajird-925	57	21	.	.	PUNCT
ajird-925	58	1	teach	teach	VERB
ajird-925	58	2	students	student	NOUN
ajird-925	58	3	how	how	SCONJ
ajird-925	58	4	to	to	PART
ajird-925	58	5	collect	collect	VERB
ajird-925	58	6	accurate	accurate	ADJ
ajird-925	58	7	data	datum	NOUN
ajird-925	58	8	,	,	PUNCT
ajird-925	58	9	organize	organize	VERB
ajird-925	58	10	it	it	PRON
ajird-925	58	11	effectively	effectively	ADV
ajird-925	58	12	,	,	PUNCT
ajird-925	58	13	and	and	CCONJ
ajird-925	58	14	employ	employ	VERB
ajird-925	58	15	appropriate	appropriate	ADJ
ajird-925	58	16	mathematical	mathematical	ADJ
ajird-925	58	17	techniques	technique	NOUN
ajird-925	58	18	for	for	ADP
ajird-925	58	19	analysis	analysis	NOUN
ajird-925	58	20	.	.	PUNCT
ajird-925	59	1	problem	problem	NOUN
ajird-925	59	2	-	-	PUNCT
ajird-925	59	3	solving	solve	VERB
ajird-925	59	4	and	and	CCONJ
ajird-925	59	5	reflection	reflection	NOUN
ajird-925	59	6	:	:	PUNCT
ajird-925	59	7	encourage	encourage	VERB
ajird-925	59	8	students	student	NOUN
ajird-925	59	9	to	to	PART
ajird-925	59	10	apply	apply	VERB
ajird-925	59	11	problem	problem	NOUN
ajird-925	59	12	-	-	PUNCT
ajird-925	59	13	solving	solve	VERB
ajird-925	59	14	skills	skill	NOUN
ajird-925	59	15	throughout	throughout	ADP
ajird-925	59	16	their	their	PRON
ajird-925	59	17	investigation	investigation	NOUN
ajird-925	59	18	.	.	PUNCT
ajird-925	60	1	guide	guide	VERB
ajird-925	60	2	them	they	PRON
ajird-925	60	3	in	in	ADP
ajird-925	60	4	developing	develop	VERB
ajird-925	60	5	strategies	strategy	NOUN
ajird-925	60	6	to	to	PART
ajird-925	60	7	address	address	VERB
ajird-925	60	8	challenges	challenge	NOUN
ajird-925	60	9	,	,	PUNCT
ajird-925	60	10	test	test	NOUN
ajird-925	60	11	hypotheses	hypothesis	NOUN
ajird-925	60	12	,	,	PUNCT
ajird-925	60	13	and	and	CCONJ
ajird-925	60	14	refine	refine	VERB
ajird-925	60	15	their	their	PRON
ajird-925	60	16	approaches	approach	NOUN
ajird-925	60	17	.	.	PUNCT
ajird-925	61	1	promote	promote	VERB
ajird-925	61	2	reflection	reflection	NOUN
ajird-925	61	3	by	by	ADP
ajird-925	61	4	having	have	VERB
ajird-925	61	5	students	student	NOUN
ajird-925	61	6	document	document	VERB
ajird-925	61	7	their	their	PRON
ajird-925	61	8	thinking	thinking	NOUN
ajird-925	61	9	processes	process	NOUN
ajird-925	61	10	,	,	PUNCT
ajird-925	61	11	analyze	analyze	VERB
ajird-925	61	12	their	their	PRON
ajird-925	61	13	results	result	NOUN
ajird-925	61	14	,	,	PUNCT
ajird-925	61	15	and	and	CCONJ
ajird-925	61	16	consider	consider	VERB
ajird-925	61	17	the	the	DET
ajird-925	61	18	implications	implication	NOUN
ajird-925	61	19	of	of	ADP
ajird-925	61	20	their	their	PRON
ajird-925	61	21	findings	finding	NOUN
ajird-925	61	22	.	.	PUNCT
ajird-925	62	1	reflection	reflection	NOUN
ajird-925	62	2	fosters	foster	VERB
ajird-925	62	3	metacognition	metacognition	NOUN
ajird-925	62	4	and	and	CCONJ
ajird-925	62	5	helps	help	VERB
ajird-925	62	6	students	student	NOUN
ajird-925	62	7	deepen	deepen	VERB
ajird-925	62	8	their	their	PRON
ajird-925	62	9	understanding	understanding	NOUN
ajird-925	62	10	.	.	PUNCT
ajird-925	63	1	collaboration	collaboration	NOUN
ajird-925	63	2	and	and	CCONJ
ajird-925	63	3	communication	communication	NOUN
ajird-925	63	4	:	:	PUNCT
ajird-925	63	5	facilitate	facilitate	VERB
ajird-925	63	6	opportunities	opportunity	NOUN
ajird-925	63	7	for	for	SCONJ
ajird-925	63	8	students	student	NOUN
ajird-925	63	9	to	to	PART
ajird-925	63	10	collaborate	collaborate	VERB
ajird-925	63	11	and	and	CCONJ
ajird-925	63	12	share	share	VERB
ajird-925	63	13	their	their	PRON
ajird-925	63	14	investigations	investigation	NOUN
ajird-925	63	15	with	with	ADP
ajird-925	63	16	peers	peer	NOUN
ajird-925	63	17	.	.	PUNCT
ajird-925	64	1	encourage	encourage	VERB
ajird-925	64	2	group	group	NOUN
ajird-925	64	3	discussions	discussion	NOUN
ajird-925	64	4	,	,	PUNCT
ajird-925	64	5	presentations	presentation	NOUN
ajird-925	64	6	,	,	PUNCT
ajird-925	64	7	or	or	CCONJ
ajird-925	64	8	exhibitions	exhibition	NOUN
ajird-925	64	9	where	where	SCONJ
ajird-925	64	10	students	student	NOUN
ajird-925	64	11	can	can	AUX
ajird-925	64	12	exchange	exchange	VERB
ajird-925	64	13	ideas	idea	NOUN
ajird-925	64	14	,	,	PUNCT
ajird-925	64	15	provide	provide	VERB
ajird-925	64	16	feedback	feedback	NOUN
ajird-925	64	17	,	,	PUNCT
ajird-925	64	18	and	and	CCONJ
ajird-925	64	19	learn	learn	VERB
ajird-925	64	20	from	from	ADP
ajird-925	64	21	one	one	NUM
ajird-925	64	22	another	another	DET
ajird-925	64	23	.	.	PUNCT
ajird-925	65	1	collaboration	collaboration	NOUN
ajird-925	65	2	enhances	enhance	VERB
ajird-925	65	3	critical	critical	ADJ
ajird-925	65	4	thinking	thinking	NOUN
ajird-925	65	5	,	,	PUNCT
ajird-925	65	6	promotes	promote	VERB
ajird-925	65	7	diverse	diverse	ADJ
ajird-925	65	8	perspectives	perspective	NOUN
ajird-925	65	9	,	,	PUNCT
ajird-925	65	10	and	and	CCONJ
ajird-925	65	11	strengthens	strengthen	VERB
ajird-925	65	12	communication	communication	NOUN
ajird-925	65	13	skills	skill	NOUN
ajird-925	65	14	.	.	PUNCT
ajird-925	66	1	teacher	teacher	NOUN
ajird-925	66	2	as	as	ADP
ajird-925	66	3	facilitator	facilitator	NOUN
ajird-925	66	4	:	:	PUNCT
ajird-925	66	5	take	take	VERB
ajird-925	66	6	on	on	ADP
ajird-925	66	7	the	the	DET
ajird-925	66	8	role	role	NOUN
ajird-925	66	9	of	of	ADP
ajird-925	66	10	a	a	DET
ajird-925	66	11	facilitator	facilitator	NOUN
ajird-925	66	12	rather	rather	ADV
ajird-925	66	13	than	than	ADP
ajird-925	66	14	a	a	DET
ajird-925	66	15	traditional	traditional	ADJ
ajird-925	66	16	instructor	instructor	NOUN
ajird-925	66	17	.	.	PUNCT
ajird-925	67	1	provide	provide	VERB
ajird-925	67	2	guidance	guidance	NOUN
ajird-925	67	3	,	,	PUNCT
ajird-925	67	4	support	support	NOUN
ajird-925	67	5	,	,	PUNCT
ajird-925	67	6	and	and	CCONJ
ajird-925	67	7	resources	resource	NOUN
ajird-925	67	8	as	as	SCONJ
ajird-925	67	9	needed	need	VERB
ajird-925	67	10	,	,	PUNCT
ajird-925	67	11	but	but	CCONJ
ajird-925	67	12	allow	allow	VERB
ajird-925	67	13	students	student	NOUN
ajird-925	67	14	to	to	PART
ajird-925	67	15	drive	drive	VERB
ajird-925	67	16	the	the	DET
ajird-925	67	17	investigation	investigation	NOUN
ajird-925	67	18	process	process	NOUN
ajird-925	67	19	.	.	PUNCT
ajird-925	68	1	offer	offer	VERB
ajird-925	68	2	scaffolding	scaffold	VERB
ajird-925	68	3	to	to	PART
ajird-925	68	4	help	help	VERB
ajird-925	68	5	students	student	NOUN
ajird-925	68	6	overcome	overcome	VERB
ajird-925	68	7	challenges	challenge	NOUN
ajird-925	68	8	,	,	PUNCT
ajird-925	68	9	ask	ask	VERB
ajird-925	68	10	probing	probe	VERB
ajird-925	68	11	questions	question	NOUN
ajird-925	68	12	to	to	PART
ajird-925	68	13	stimulate	stimulate	VERB
ajird-925	68	14	deeper	deep	ADJ
ajird-925	68	15	thinking	thinking	NOUN
ajird-925	68	16	,	,	PUNCT
ajird-925	68	17	and	and	CCONJ
ajird-925	68	18	provide	provide	VERB
ajird-925	68	19	feedback	feedback	NOUN
ajird-925	68	20	to	to	PART
ajird-925	68	21	guide	guide	VERB
ajird-925	68	22	their	their	PRON
ajird-925	68	23	progress	progress	NOUN
ajird-925	68	24	.	.	PUNCT
ajird-925	69	1	culminating	culminate	VERB
ajird-925	69	2	products	product	NOUN
ajird-925	69	3	:	:	PUNCT
ajird-925	69	4	encourage	encourage	VERB
ajird-925	69	5	students	student	NOUN
ajird-925	69	6	to	to	PART
ajird-925	69	7	create	create	VERB
ajird-925	69	8	culminating	culminate	VERB
ajird-925	69	9	products	product	NOUN
ajird-925	69	10	that	that	PRON
ajird-925	69	11	showcase	showcase	VERB
ajird-925	69	12	their	their	PRON
ajird-925	69	13	investigations	investigation	NOUN
ajird-925	69	14	.	.	PUNCT
ajird-925	70	1	these	these	PRON
ajird-925	70	2	could	could	AUX
ajird-925	70	3	include	include	VERB
ajird-925	70	4	research	research	NOUN
ajird-925	70	5	reports	report	NOUN
ajird-925	70	6	,	,	PUNCT
ajird-925	70	7	presentations	presentation	NOUN
ajird-925	70	8	,	,	PUNCT
ajird-925	70	9	multimedia	multimedia	NOUN
ajird-925	70	10	projects	project	NOUN
ajird-925	70	11	,	,	PUNCT
ajird-925	70	12	or	or	CCONJ
ajird-925	70	13	demonstrations	demonstration	NOUN
ajird-925	70	14	.	.	PUNCT
ajird-925	71	1	by	by	ADP
ajird-925	71	2	presenting	present	VERB
ajird-925	71	3	their	their	PRON
ajird-925	71	4	findings	finding	NOUN
ajird-925	71	5	,	,	PUNCT
ajird-925	71	6	students	student	NOUN
ajird-925	71	7	develop	develop	VERB
ajird-925	71	8	their	their	PRON
ajird-925	71	9	communication	communication	NOUN
ajird-925	71	10	skills	skill	NOUN
ajird-925	71	11	and	and	CCONJ
ajird-925	71	12	gain	gain	VERB
ajird-925	71	13	a	a	DET
ajird-925	71	14	sense	sense	NOUN
ajird-925	71	15	of	of	ADP
ajird-925	71	16	accomplishment	accomplishment	NOUN
ajird-925	71	17	.	.	PUNCT
ajird-925	72	1	american	american	ADJ
ajird-925	72	2	journal	journal	PROPN
ajird-925	72	3	of	of	ADP
ajird-925	72	4	interdisciplinary	interdisciplinary	ADJ
ajird-925	72	5	research	research	NOUN
ajird-925	72	6	and	and	CCONJ
ajird-925	72	7	development	development	NOUN
ajird-925	72	8	issn	issn	PROPN
ajird-925	72	9	online	online	NOUN
ajird-925	72	10	:	:	PUNCT
ajird-925	72	11	2771	2771	NUM
ajird-925	72	12	-	-	SYM
ajird-925	72	13	8948	8948	NUM
ajird-925	72	14	website	website	NOUN
ajird-925	72	15	:	:	PUNCT
ajird-925	72	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-925	72	17	volume	volume	NOUN
ajird-925	72	18	24	24	NUM
ajird-925	72	19	,	,	PUNCT
ajird-925	72	20	january	january	PROPN
ajird-925	72	21	,	,	PUNCT
ajird-925	72	22	2024	2024	NUM
ajird-925	72	23	49	49	NUM
ajird-925	73	1	|	|	ADV
ajird-925	73	2	p	p	ADP
ajird-925	73	3	a	a	DET
ajird-925	73	4	g	g	NOUN
ajird-925	73	5	e	e	NOUN
ajird-925	73	6	celebration	celebration	NOUN
ajird-925	73	7	and	and	CCONJ
ajird-925	73	8	reflection	reflection	NOUN
ajird-925	73	9	:	:	PUNCT
ajird-925	73	10	celebrate	celebrate	VERB
ajird-925	73	11	students	student	NOUN
ajird-925	73	12	'	'	PART
ajird-925	73	13	accomplishments	accomplishment	NOUN
ajird-925	73	14	at	at	ADP
ajird-925	73	15	the	the	DET
ajird-925	73	16	end	end	NOUN
ajird-925	73	17	of	of	ADP
ajird-925	73	18	their	their	PRON
ajird-925	73	19	investigations	investigation	NOUN
ajird-925	73	20	.	.	PUNCT
ajird-925	74	1	provide	provide	VERB
ajird-925	74	2	opportunities	opportunity	NOUN
ajird-925	74	3	for	for	SCONJ
ajird-925	74	4	students	student	NOUN
ajird-925	74	5	to	to	PART
ajird-925	74	6	reflect	reflect	VERB
ajird-925	74	7	on	on	ADP
ajird-925	74	8	their	their	PRON
ajird-925	74	9	learning	learning	NOUN
ajird-925	74	10	experiences	experience	NOUN
ajird-925	74	11	,	,	PUNCT
ajird-925	74	12	evaluate	evaluate	VERB
ajird-925	74	13	their	their	PRON
ajird-925	74	14	growth	growth	NOUN
ajird-925	74	15	,	,	PUNCT
ajird-925	74	16	and	and	CCONJ
ajird-925	74	17	consider	consider	VERB
ajird-925	74	18	how	how	SCONJ
ajird-925	74	19	the	the	DET
ajird-925	74	20	investigation	investigation	NOUN
ajird-925	74	21	process	process	NOUN
ajird-925	74	22	has	have	AUX
ajird-925	74	23	influenced	influence	VERB
ajird-925	74	24	their	their	PRON
ajird-925	74	25	understanding	understanding	NOUN
ajird-925	74	26	of	of	ADP
ajird-925	74	27	mathematics	mathematic	NOUN
ajird-925	74	28	.	.	PUNCT
ajird-925	75	1	encourage	encourage	VERB
ajird-925	75	2	them	they	PRON
ajird-925	75	3	to	to	PART
ajird-925	75	4	identify	identify	VERB
ajird-925	75	5	new	new	ADJ
ajird-925	75	6	questions	question	NOUN
ajird-925	75	7	or	or	CCONJ
ajird-925	75	8	areas	area	NOUN
ajird-925	75	9	for	for	ADP
ajird-925	75	10	further	further	ADJ
ajird-925	75	11	exploration	exploration	NOUN
ajird-925	75	12	.	.	PUNCT
ajird-925	76	1	student	student	NOUN
ajird-925	76	2	-	-	PUNCT
ajird-925	76	3	led	lead	VERB
ajird-925	76	4	investigations	investigation	NOUN
ajird-925	76	5	in	in	ADP
ajird-925	76	6	ibl	ibl	PROPN
ajird-925	76	7	foster	foster	ADJ
ajird-925	76	8	autonomy	autonomy	NOUN
ajird-925	76	9	,	,	PUNCT
ajird-925	76	10	critical	critical	ADJ
ajird-925	76	11	thinking	thinking	NOUN
ajird-925	76	12	,	,	PUNCT
ajird-925	76	13	and	and	CCONJ
ajird-925	76	14	a	a	DET
ajird-925	76	15	deeper	deep	ADJ
ajird-925	76	16	understanding	understanding	NOUN
ajird-925	76	17	of	of	ADP
ajird-925	76	18	mathematical	mathematical	ADJ
ajird-925	76	19	concepts	concept	NOUN
ajird-925	76	20	.	.	PUNCT
ajird-925	77	1	by	by	ADP
ajird-925	77	2	allowing	allow	VERB
ajird-925	77	3	students	student	NOUN
ajird-925	77	4	to	to	PART
ajird-925	77	5	pursue	pursue	VERB
ajird-925	77	6	their	their	PRON
ajird-925	77	7	interests	interest	NOUN
ajird-925	77	8	,	,	PUNCT
ajird-925	77	9	engage	engage	VERB
ajird-925	77	10	in	in	ADP
ajird-925	77	11	authentic	authentic	ADJ
ajird-925	77	12	problem	problem	NOUN
ajird-925	77	13	-	-	PUNCT
ajird-925	77	14	solving	solving	NOUN
ajird-925	77	15	,	,	PUNCT
ajird-925	77	16	and	and	CCONJ
ajird-925	77	17	take	take	VERB
ajird-925	77	18	ownership	ownership	NOUN
ajird-925	77	19	of	of	ADP
ajird-925	77	20	their	their	PRON
ajird-925	77	21	learning	learning	NOUN
ajird-925	77	22	,	,	PUNCT
ajird-925	77	23	educators	educator	NOUN
ajird-925	77	24	can	can	AUX
ajird-925	77	25	cultivate	cultivate	VERB
ajird-925	77	26	a	a	DET
ajird-925	77	27	passion	passion	NOUN
ajird-925	77	28	for	for	ADP
ajird-925	77	29	mathematics	mathematic	NOUN
ajird-925	77	30	and	and	CCONJ
ajird-925	77	31	develop	develop	VERB
ajird-925	77	32	lifelong	lifelong	ADJ
ajird-925	77	33	learners	learner	NOUN
ajird-925	77	34	.	.	PUNCT
ajird-925	78	1	collaborative	collaborative	ADJ
ajird-925	78	2	inquiry	inquiry	NOUN
ajird-925	78	3	encourage	encourage	VERB
ajird-925	78	4	collaborative	collaborative	ADJ
ajird-925	78	5	learning	learning	NOUN
ajird-925	78	6	and	and	CCONJ
ajird-925	78	7	group	group	NOUN
ajird-925	78	8	work	work	NOUN
ajird-925	78	9	during	during	ADP
ajird-925	78	10	inquiry	inquiry	NOUN
ajird-925	78	11	-	-	PUNCT
ajird-925	78	12	based	base	VERB
ajird-925	78	13	activities	activity	NOUN
ajird-925	78	14	.	.	PUNCT
ajird-925	79	1	students	student	NOUN
ajird-925	79	2	can	can	AUX
ajird-925	79	3	work	work	VERB
ajird-925	79	4	together	together	ADV
ajird-925	79	5	to	to	PART
ajird-925	79	6	investigate	investigate	VERB
ajird-925	79	7	problems	problem	NOUN
ajird-925	79	8	,	,	PUNCT
ajird-925	79	9	share	share	VERB
ajird-925	79	10	their	their	PRON
ajird-925	79	11	findings	finding	NOUN
ajird-925	79	12	,	,	PUNCT
ajird-925	79	13	and	and	CCONJ
ajird-925	79	14	engage	engage	VERB
ajird-925	79	15	in	in	ADP
ajird-925	79	16	mathematical	mathematical	ADJ
ajird-925	79	17	discussions	discussion	NOUN
ajird-925	79	18	.	.	PUNCT
ajird-925	80	1	collaborative	collaborative	ADJ
ajird-925	80	2	inquiry	inquiry	NOUN
ajird-925	80	3	promotes	promote	VERB
ajird-925	80	4	critical	critical	ADJ
ajird-925	80	5	thinking	thinking	NOUN
ajird-925	80	6	as	as	SCONJ
ajird-925	80	7	students	student	NOUN
ajird-925	80	8	learn	learn	VERB
ajird-925	80	9	to	to	PART
ajird-925	80	10	listen	listen	VERB
ajird-925	80	11	,	,	PUNCT
ajird-925	80	12	consider	consider	VERB
ajird-925	80	13	different	different	ADJ
ajird-925	80	14	perspectives	perspective	NOUN
ajird-925	80	15	,	,	PUNCT
ajird-925	80	16	debate	debate	NOUN
ajird-925	80	17	ideas	idea	NOUN
ajird-925	80	18	,	,	PUNCT
ajird-925	80	19	and	and	CCONJ
ajird-925	80	20	construct	construct	VERB
ajird-925	80	21	logical	logical	ADJ
ajird-925	80	22	arguments	argument	NOUN
ajird-925	80	23	.	.	PUNCT
ajird-925	81	1	it	it	PRON
ajird-925	81	2	also	also	ADV
ajird-925	81	3	enhances	enhance	VERB
ajird-925	81	4	communication	communication	NOUN
ajird-925	81	5	and	and	CCONJ
ajird-925	81	6	collaboration	collaboration	NOUN
ajird-925	81	7	skills	skill	NOUN
ajird-925	81	8	.	.	PUNCT
ajird-925	82	1	incorporate	incorporate	VERB
ajird-925	82	2	opportunities	opportunity	NOUN
ajird-925	82	3	for	for	ADP
ajird-925	82	4	reflection	reflection	NOUN
ajird-925	82	5	and	and	CCONJ
ajird-925	82	6	metacognition	metacognition	NOUN
ajird-925	82	7	throughout	throughout	ADP
ajird-925	82	8	the	the	DET
ajird-925	82	9	inquiry	inquiry	NOUN
ajird-925	82	10	process	process	NOUN
ajird-925	82	11	.	.	PUNCT
ajird-925	83	1	encourage	encourage	VERB
ajird-925	83	2	students	student	NOUN
ajird-925	83	3	to	to	PART
ajird-925	83	4	reflect	reflect	VERB
ajird-925	83	5	on	on	ADP
ajird-925	83	6	their	their	PRON
ajird-925	83	7	thinking	thinking	NOUN
ajird-925	83	8	,	,	PUNCT
ajird-925	83	9	evaluate	evaluate	VERB
ajird-925	83	10	their	their	PRON
ajird-925	83	11	problem	problem	NOUN
ajird-925	83	12	-	-	PUNCT
ajird-925	83	13	solving	solve	VERB
ajird-925	83	14	strategies	strategy	NOUN
ajird-925	83	15	,	,	PUNCT
ajird-925	83	16	and	and	CCONJ
ajird-925	83	17	identify	identify	VERB
ajird-925	83	18	areas	area	NOUN
ajird-925	83	19	of	of	ADP
ajird-925	83	20	growth	growth	NOUN
ajird-925	83	21	.	.	PUNCT
ajird-925	84	1	have	have	VERB
ajird-925	84	2	them	they	PRON
ajird-925	84	3	explain	explain	VERB
ajird-925	84	4	their	their	PRON
ajird-925	84	5	reasoning	reasoning	NOUN
ajird-925	84	6	,	,	PUNCT
ajird-925	84	7	justify	justify	VERB
ajird-925	84	8	their	their	PRON
ajird-925	84	9	solutions	solution	NOUN
ajird-925	84	10	,	,	PUNCT
ajird-925	84	11	and	and	CCONJ
ajird-925	84	12	consider	consider	VERB
ajird-925	84	13	alternative	alternative	ADJ
ajird-925	84	14	approaches	approach	NOUN
ajird-925	84	15	.	.	PUNCT
ajird-925	85	1	metacognitive	metacognitive	ADJ
ajird-925	85	2	activities	activity	NOUN
ajird-925	85	3	help	help	VERB
ajird-925	85	4	students	student	NOUN
ajird-925	85	5	develop	develop	VERB
ajird-925	85	6	awareness	awareness	NOUN
ajird-925	85	7	of	of	ADP
ajird-925	85	8	their	their	PRON
ajird-925	85	9	own	own	ADJ
ajird-925	85	10	thinking	thinking	NOUN
ajird-925	85	11	processes	process	NOUN
ajird-925	85	12	and	and	CCONJ
ajird-925	85	13	promote	promote	VERB
ajird-925	85	14	higher	high	ADJ
ajird-925	85	15	-	-	PUNCT
ajird-925	85	16	level	level	NOUN
ajird-925	85	17	thinking	thinking	NOUN
ajird-925	85	18	.	.	PUNCT
ajird-925	86	1	use	use	VERB
ajird-925	86	2	assessment	assessment	NOUN
ajird-925	86	3	as	as	ADP
ajird-925	86	4	a	a	DET
ajird-925	86	5	tool	tool	NOUN
ajird-925	86	6	for	for	ADP
ajird-925	86	7	inquiry	inquiry	NOUN
ajird-925	86	8	.	.	PUNCT
ajird-925	87	1	instead	instead	ADV
ajird-925	87	2	of	of	ADP
ajird-925	87	3	focusing	focus	VERB
ajird-925	87	4	solely	solely	ADV
ajird-925	87	5	on	on	ADP
ajird-925	87	6	right	right	ADJ
ajird-925	87	7	or	or	CCONJ
ajird-925	87	8	wrong	wrong	ADJ
ajird-925	87	9	answers	answer	NOUN
ajird-925	87	10	,	,	PUNCT
ajird-925	87	11	design	design	NOUN
ajird-925	87	12	assessments	assessment	NOUN
ajird-925	87	13	that	that	PRON
ajird-925	87	14	encourage	encourage	VERB
ajird-925	87	15	students	student	NOUN
ajird-925	87	16	to	to	PART
ajird-925	87	17	explain	explain	VERB
ajird-925	87	18	their	their	PRON
ajird-925	87	19	thinking	thinking	NOUN
ajird-925	87	20	,	,	PUNCT
ajird-925	87	21	justify	justify	VERB
ajird-925	87	22	their	their	PRON
ajird-925	87	23	solutions	solution	NOUN
ajird-925	87	24	,	,	PUNCT
ajird-925	87	25	and	and	CCONJ
ajird-925	87	26	demonstrate	demonstrate	VERB
ajird-925	87	27	their	their	PRON
ajird-925	87	28	understanding	understanding	NOUN
ajird-925	87	29	of	of	ADP
ajird-925	87	30	mathematical	mathematical	ADJ
ajird-925	87	31	concepts	concept	NOUN
ajird-925	87	32	.	.	PUNCT
ajird-925	88	1	include	include	VERB
ajird-925	88	2	open	open	ADV
ajird-925	88	3	-	-	PUNCT
ajird-925	88	4	ended	end	VERB
ajird-925	88	5	questions	question	NOUN
ajird-925	88	6	,	,	PUNCT
ajird-925	88	7	performance	performance	NOUN
ajird-925	88	8	tasks	task	NOUN
ajird-925	88	9	,	,	PUNCT
ajird-925	88	10	and	and	CCONJ
ajird-925	88	11	projects	project	NOUN
ajird-925	88	12	that	that	PRON
ajird-925	88	13	allow	allow	VERB
ajird-925	88	14	students	student	NOUN
ajird-925	88	15	to	to	PART
ajird-925	88	16	showcase	showcase	VERB
ajird-925	88	17	their	their	PRON
ajird-925	88	18	higher	high	ADJ
ajird-925	88	19	-	-	PUNCT
ajird-925	88	20	level	level	NOUN
ajird-925	88	21	thinking	thinking	NOUN
ajird-925	88	22	abilities	ability	NOUN
ajird-925	88	23	.	.	PUNCT
ajird-925	89	1	inquiry	inquiry	NOUN
ajird-925	89	2	-	-	PUNCT
ajird-925	89	3	based	base	VERB
ajird-925	89	4	learning	learning	NOUN
ajird-925	89	5	in	in	ADP
ajird-925	89	6	mathematics	mathematic	NOUN
ajird-925	89	7	creates	create	VERB
ajird-925	89	8	an	an	DET
ajird-925	89	9	environment	environment	NOUN
ajird-925	89	10	where	where	SCONJ
ajird-925	89	11	students	student	NOUN
ajird-925	89	12	actively	actively	ADV
ajird-925	89	13	engage	engage	VERB
ajird-925	89	14	in	in	ADP
ajird-925	89	15	problem	problem	NOUN
ajird-925	89	16	-	-	PUNCT
ajird-925	89	17	solving	solve	VERB
ajird-925	89	18	,	,	PUNCT
ajird-925	89	19	critical	critical	ADJ
ajird-925	89	20	thinking	thinking	NOUN
ajird-925	89	21	,	,	PUNCT
ajird-925	89	22	and	and	CCONJ
ajird-925	89	23	exploration	exploration	NOUN
ajird-925	89	24	.	.	PUNCT
ajird-925	90	1	it	it	PRON
ajird-925	90	2	nurtures	nurture	VERB
ajird-925	90	3	their	their	PRON
ajird-925	90	4	curiosity	curiosity	NOUN
ajird-925	90	5	,	,	PUNCT
ajird-925	90	6	develops	develop	VERB
ajird-925	90	7	their	their	PRON
ajird-925	90	8	mathematical	mathematical	ADJ
ajird-925	90	9	reasoning	reasoning	NOUN
ajird-925	90	10	skills	skill	NOUN
ajird-925	90	11	,	,	PUNCT
ajird-925	90	12	and	and	CCONJ
ajird-925	90	13	prepares	prepare	VERB
ajird-925	90	14	them	they	PRON
ajird-925	90	15	to	to	PART
ajird-925	90	16	tackle	tackle	VERB
ajird-925	90	17	complex	complex	ADJ
ajird-925	90	18	mathematical	mathematical	ADJ
ajird-925	90	19	challenges	challenge	NOUN
ajird-925	90	20	with	with	ADP
ajird-925	90	21	confidence	confidence	NOUN
ajird-925	90	22	.	.	PUNCT
ajird-925	91	1	socratic	socratic	ADJ
ajird-925	91	2	questioning	questioning	NOUN
ajird-925	91	3	utilize	utilize	VERB
ajird-925	91	4	the	the	DET
ajird-925	91	5	socratic	socratic	ADJ
ajird-925	91	6	method	method	NOUN
ajird-925	91	7	by	by	ADP
ajird-925	91	8	asking	ask	VERB
ajird-925	91	9	probing	probe	VERB
ajird-925	91	10	questions	question	NOUN
ajird-925	91	11	that	that	PRON
ajird-925	91	12	stimulate	stimulate	VERB
ajird-925	91	13	students	student	NOUN
ajird-925	91	14	'	'	PART
ajird-925	91	15	thinking	thinking	NOUN
ajird-925	91	16	.	.	PUNCT
ajird-925	92	1	ask	ask	VERB
ajird-925	92	2	open	open	ADV
ajird-925	92	3	-	-	PUNCT
ajird-925	92	4	ended	end	VERB
ajird-925	92	5	questions	question	NOUN
ajird-925	92	6	that	that	PRON
ajird-925	92	7	require	require	VERB
ajird-925	92	8	students	student	NOUN
ajird-925	92	9	to	to	PART
ajird-925	92	10	explain	explain	VERB
ajird-925	92	11	their	their	PRON
ajird-925	92	12	reasoning	reasoning	NOUN
ajird-925	92	13	,	,	PUNCT
ajird-925	92	14	justify	justify	VERB
ajird-925	92	15	their	their	PRON
ajird-925	92	16	answers	answer	NOUN
ajird-925	92	17	,	,	PUNCT
ajird-925	92	18	and	and	CCONJ
ajird-925	92	19	consider	consider	VERB
ajird-925	92	20	alternative	alternative	ADJ
ajird-925	92	21	approaches	approach	NOUN
ajird-925	92	22	or	or	CCONJ
ajird-925	92	23	solutions	solution	NOUN
ajird-925	92	24	.	.	PUNCT
ajird-925	93	1	this	this	PRON
ajird-925	93	2	helps	help	VERB
ajird-925	93	3	develop	develop	VERB
ajird-925	93	4	their	their	PRON
ajird-925	93	5	analytical	analytical	ADJ
ajird-925	93	6	and	and	CCONJ
ajird-925	93	7	logical	logical	ADJ
ajird-925	93	8	thinking	thinking	NOUN
ajird-925	93	9	skills	skill	NOUN
ajird-925	93	10	.	.	PUNCT
ajird-925	94	1	promote	promote	VERB
ajird-925	94	2	collaborative	collaborative	ADJ
ajird-925	94	3	learning	learning	NOUN
ajird-925	94	4	activities	activity	NOUN
ajird-925	94	5	where	where	SCONJ
ajird-925	94	6	students	student	NOUN
ajird-925	94	7	work	work	VERB
ajird-925	94	8	together	together	ADV
ajird-925	94	9	in	in	ADP
ajird-925	94	10	groups	group	NOUN
ajird-925	94	11	to	to	PART
ajird-925	94	12	solve	solve	VERB
ajird-925	94	13	mathematical	mathematical	ADJ
ajird-925	94	14	problems	problem	NOUN
ajird-925	94	15	or	or	CCONJ
ajird-925	94	16	engage	engage	VERB
ajird-925	94	17	in	in	ADP
ajird-925	94	18	mathematical	mathematical	ADJ
ajird-925	94	19	discussions	discussion	NOUN
ajird-925	94	20	.	.	PUNCT
ajird-925	95	1	group	group	NOUN
ajird-925	95	2	work	work	NOUN
ajird-925	95	3	enhances	enhance	VERB
ajird-925	95	4	critical	critical	ADJ
ajird-925	95	5	thinking	thinking	NOUN
ajird-925	95	6	as	as	SCONJ
ajird-925	95	7	students	student	NOUN
ajird-925	95	8	learn	learn	VERB
ajird-925	95	9	to	to	PART
ajird-925	95	10	listen	listen	VERB
ajird-925	95	11	,	,	PUNCT
ajird-925	95	12	share	share	NOUN
ajird-925	95	13	ideas	idea	NOUN
ajird-925	95	14	,	,	PUNCT
ajird-925	95	15	debate	debate	NOUN
ajird-925	95	16	,	,	PUNCT
ajird-925	95	17	and	and	CCONJ
ajird-925	95	18	construct	construct	VERB
ajird-925	95	19	logical	logical	ADJ
ajird-925	95	20	arguments	argument	NOUN
ajird-925	95	21	.	.	PUNCT
ajird-925	96	1	it	it	PRON
ajird-925	96	2	also	also	ADV
ajird-925	96	3	fosters	foster	VERB
ajird-925	96	4	communication	communication	NOUN
ajird-925	96	5	and	and	CCONJ
ajird-925	96	6	collaboration	collaboration	NOUN
ajird-925	96	7	skills	skill	NOUN
ajird-925	96	8	.	.	PUNCT
ajird-925	97	1	incorporate	incorporate	VERB
ajird-925	97	2	metacognitive	metacognitive	ADJ
ajird-925	97	3	strategies	strategy	NOUN
ajird-925	97	4	by	by	ADP
ajird-925	97	5	encouraging	encourage	VERB
ajird-925	97	6	students	student	NOUN
ajird-925	97	7	to	to	PART
ajird-925	97	8	reflect	reflect	VERB
ajird-925	97	9	on	on	ADP
ajird-925	97	10	their	their	PRON
ajird-925	97	11	thinking	thinking	NOUN
ajird-925	97	12	processes	process	NOUN
ajird-925	97	13	and	and	CCONJ
ajird-925	97	14	problem	problem	NOUN
ajird-925	97	15	-	-	PUNCT
ajird-925	97	16	solving	solve	VERB
ajird-925	97	17	strategies	strategy	NOUN
ajird-925	97	18	.	.	PUNCT
ajird-925	98	1	have	have	AUX
ajird-925	98	2	students	student	NOUN
ajird-925	98	3	explain	explain	VERB
ajird-925	98	4	their	their	PRON
ajird-925	98	5	thought	thought	NOUN
ajird-925	98	6	processes	process	NOUN
ajird-925	98	7	,	,	PUNCT
ajird-925	98	8	evaluate	evaluate	VERB
ajird-925	98	9	their	their	PRON
ajird-925	98	10	own	own	ADJ
ajird-925	98	11	understanding	understanding	NOUN
ajird-925	98	12	,	,	PUNCT
ajird-925	98	13	and	and	CCONJ
ajird-925	98	14	identify	identify	VERB
ajird-925	98	15	areas	area	NOUN
ajird-925	98	16	of	of	ADP
ajird-925	98	17	difficulty	difficulty	NOUN
ajird-925	98	18	.	.	PUNCT
ajird-925	99	1	metacognition	metacognition	PROPN
ajird-925	99	2	american	american	PROPN
ajird-925	99	3	journal	journal	PROPN
ajird-925	99	4	of	of	ADP
ajird-925	99	5	interdisciplinary	interdisciplinary	ADJ
ajird-925	99	6	research	research	NOUN
ajird-925	99	7	and	and	CCONJ
ajird-925	99	8	development	development	NOUN
ajird-925	99	9	issn	issn	PROPN
ajird-925	99	10	online	online	NOUN
ajird-925	99	11	:	:	PUNCT
ajird-925	99	12	2771	2771	NUM
ajird-925	99	13	-	-	SYM
ajird-925	99	14	8948	8948	NUM
ajird-925	99	15	website	website	NOUN
ajird-925	99	16	:	:	PUNCT
ajird-925	99	17	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-925	99	18	volume	volume	NOUN
ajird-925	99	19	24	24	NUM
ajird-925	99	20	,	,	PUNCT
ajird-925	99	21	january	january	PROPN
ajird-925	99	22	,	,	PUNCT
ajird-925	99	23	2024	2024	NUM
ajird-925	99	24	50	50	NUM
ajird-925	99	25	|	|	ADV
ajird-925	99	26	p	p	NOUN
ajird-925	99	27	a	a	DET
ajird-925	99	28	g	g	NOUN
ajird-925	99	29	e	e	NOUN
ajird-925	99	30	helps	help	VERB
ajird-925	99	31	students	student	NOUN
ajird-925	99	32	become	become	VERB
ajird-925	99	33	aware	aware	ADJ
ajird-925	99	34	of	of	ADP
ajird-925	99	35	their	their	PRON
ajird-925	99	36	own	own	ADJ
ajird-925	99	37	thinking	thinking	NOUN
ajird-925	99	38	and	and	CCONJ
ajird-925	99	39	develop	develop	VERB
ajird-925	99	40	strategies	strategy	NOUN
ajird-925	99	41	for	for	ADP
ajird-925	99	42	problemsolving	problemsolve	VERB
ajird-925	99	43	and	and	CCONJ
ajird-925	99	44	learning	learning	NOUN
ajird-925	99	45	.	.	PUNCT
ajird-925	100	1	differentiate	differentiate	VERB
ajird-925	100	2	instruction	instruction	NOUN
ajird-925	100	3	to	to	PART
ajird-925	100	4	meet	meet	VERB
ajird-925	100	5	the	the	DET
ajird-925	100	6	diverse	diverse	ADJ
ajird-925	100	7	needs	need	NOUN
ajird-925	100	8	of	of	ADP
ajird-925	100	9	students	student	NOUN
ajird-925	100	10	.	.	PUNCT
ajird-925	101	1	provide	provide	VERB
ajird-925	101	2	challenging	challenging	ADJ
ajird-925	101	3	tasks	task	NOUN
ajird-925	101	4	or	or	CCONJ
ajird-925	101	5	extension	extension	NOUN
ajird-925	101	6	activities	activity	NOUN
ajird-925	101	7	for	for	ADP
ajird-925	101	8	students	student	NOUN
ajird-925	101	9	who	who	PRON
ajird-925	101	10	have	have	AUX
ajird-925	101	11	mastered	master	VERB
ajird-925	101	12	the	the	DET
ajird-925	101	13	content	content	NOUN
ajird-925	101	14	,	,	PUNCT
ajird-925	101	15	while	while	SCONJ
ajird-925	101	16	offering	offer	VERB
ajird-925	101	17	additional	additional	ADJ
ajird-925	101	18	support	support	NOUN
ajird-925	101	19	and	and	CCONJ
ajird-925	101	20	scaffolding	scaffold	VERB
ajird-925	101	21	for	for	ADP
ajird-925	101	22	students	student	NOUN
ajird-925	101	23	who	who	PRON
ajird-925	101	24	need	need	VERB
ajird-925	101	25	it	it	PRON
ajird-925	101	26	.	.	PUNCT
ajird-925	102	1	differentiation	differentiation	NOUN
ajird-925	102	2	encourages	encourage	VERB
ajird-925	102	3	students	student	NOUN
ajird-925	102	4	to	to	PART
ajird-925	102	5	think	think	VERB
ajird-925	102	6	at	at	ADP
ajird-925	102	7	their	their	PRON
ajird-925	102	8	appropriate	appropriate	ADJ
ajird-925	102	9	level	level	NOUN
ajird-925	102	10	and	and	CCONJ
ajird-925	102	11	fosters	foster	VERB
ajird-925	102	12	intellectual	intellectual	ADJ
ajird-925	102	13	growth	growth	NOUN
ajird-925	102	14	.	.	PUNCT
ajird-925	103	1	utilize	utilize	VERB
ajird-925	103	2	hands	hand	NOUN
ajird-925	103	3	-	-	PUNCT
ajird-925	103	4	on	on	ADP
ajird-925	103	5	manipulatives	manipulative	NOUN
ajird-925	103	6	,	,	PUNCT
ajird-925	103	7	virtual	virtual	ADJ
ajird-925	103	8	manipulatives	manipulative	NOUN
ajird-925	103	9	,	,	PUNCT
ajird-925	103	10	and	and	CCONJ
ajird-925	103	11	visual	visual	ADJ
ajird-925	103	12	representations	representation	NOUN
ajird-925	103	13	to	to	PART
ajird-925	103	14	support	support	VERB
ajird-925	103	15	students	student	NOUN
ajird-925	103	16	'	'	PART
ajird-925	103	17	conceptual	conceptual	ADJ
ajird-925	103	18	understanding	understanding	NOUN
ajird-925	103	19	.	.	PUNCT
ajird-925	104	1	these	these	DET
ajird-925	104	2	tools	tool	NOUN
ajird-925	104	3	help	help	VERB
ajird-925	104	4	students	student	NOUN
ajird-925	104	5	visualize	visualize	VERB
ajird-925	104	6	and	and	CCONJ
ajird-925	104	7	make	make	VERB
ajird-925	104	8	connections	connection	NOUN
ajird-925	104	9	between	between	ADP
ajird-925	104	10	abstract	abstract	ADJ
ajird-925	104	11	mathematical	mathematical	ADJ
ajird-925	104	12	concepts	concept	NOUN
ajird-925	104	13	,	,	PUNCT
ajird-925	104	14	enabling	enable	VERB
ajird-925	104	15	them	they	PRON
ajird-925	104	16	to	to	PART
ajird-925	104	17	think	think	VERB
ajird-925	104	18	more	more	ADV
ajird-925	104	19	deeply	deeply	ADV
ajird-925	104	20	and	and	CCONJ
ajird-925	104	21	develop	develop	VERB
ajird-925	104	22	a	a	DET
ajird-925	104	23	solid	solid	ADJ
ajird-925	104	24	foundation	foundation	NOUN
ajird-925	104	25	of	of	ADP
ajird-925	104	26	understanding	understanding	NOUN
ajird-925	104	27	.	.	PUNCT
ajird-925	105	1	integrate	integrate	VERB
ajird-925	105	2	digital	digital	ADJ
ajird-925	105	3	tools	tool	NOUN
ajird-925	105	4	and	and	CCONJ
ajird-925	105	5	educational	educational	ADJ
ajird-925	105	6	technology	technology	NOUN
ajird-925	105	7	to	to	PART
ajird-925	105	8	enhance	enhance	VERB
ajird-925	105	9	higher	high	ADJ
ajird-925	105	10	-	-	PUNCT
ajird-925	105	11	level	level	NOUN
ajird-925	105	12	thinking	thinking	NOUN
ajird-925	105	13	.	.	PUNCT
ajird-925	106	1	use	use	VERB
ajird-925	106	2	dynamic	dynamic	ADJ
ajird-925	106	3	geometry	geometry	NOUN
ajird-925	106	4	software	software	NOUN
ajird-925	106	5	,	,	PUNCT
ajird-925	106	6	graphing	graph	VERB
ajird-925	106	7	calculators	calculator	NOUN
ajird-925	106	8	,	,	PUNCT
ajird-925	106	9	interactive	interactive	ADJ
ajird-925	106	10	simulations	simulation	NOUN
ajird-925	106	11	,	,	PUNCT
ajird-925	106	12	and	and	CCONJ
ajird-925	106	13	educational	educational	ADJ
ajird-925	106	14	apps	app	NOUN
ajird-925	106	15	that	that	PRON
ajird-925	106	16	allow	allow	VERB
ajird-925	106	17	students	student	NOUN
ajird-925	106	18	to	to	PART
ajird-925	106	19	explore	explore	VERB
ajird-925	106	20	mathematical	mathematical	ADJ
ajird-925	106	21	concepts	concept	NOUN
ajird-925	106	22	,	,	PUNCT
ajird-925	106	23	make	make	VERB
ajird-925	106	24	conjectures	conjecture	NOUN
ajird-925	106	25	,	,	PUNCT
ajird-925	106	26	and	and	CCONJ
ajird-925	106	27	test	test	NOUN
ajird-925	106	28	hypotheses	hypothesis	NOUN
ajird-925	106	29	.	.	PUNCT
ajird-925	107	1	technology	technology	NOUN
ajird-925	107	2	provides	provide	VERB
ajird-925	107	3	opportunities	opportunity	NOUN
ajird-925	107	4	for	for	ADP
ajird-925	107	5	visualization	visualization	NOUN
ajird-925	107	6	,	,	PUNCT
ajird-925	107	7	experimentation	experimentation	NOUN
ajird-925	107	8	,	,	PUNCT
ajird-925	107	9	and	and	CCONJ
ajird-925	107	10	problem	problem	NOUN
ajird-925	107	11	-	-	PUNCT
ajird-925	107	12	solving	solving	NOUN
ajird-925	107	13	.	.	PUNCT
ajird-925	108	1	move	move	NOUN
ajird-925	108	2	beyond	beyond	ADP
ajird-925	108	3	traditional	traditional	ADJ
ajird-925	108	4	assessments	assessment	NOUN
ajird-925	108	5	and	and	CCONJ
ajird-925	108	6	incorporate	incorporate	VERB
ajird-925	108	7	authentic	authentic	ADJ
ajird-925	108	8	assessments	assessment	NOUN
ajird-925	108	9	that	that	PRON
ajird-925	108	10	require	require	VERB
ajird-925	108	11	higher	high	ADJ
ajird-925	108	12	-	-	PUNCT
ajird-925	108	13	level	level	NOUN
ajird-925	108	14	thinking	thinking	NOUN
ajird-925	108	15	.	.	PUNCT
ajird-925	109	1	instead	instead	ADV
ajird-925	109	2	of	of	ADP
ajird-925	109	3	solely	solely	ADV
ajird-925	109	4	focusing	focus	VERB
ajird-925	109	5	on	on	ADP
ajird-925	109	6	rote	rote	ADJ
ajird-925	109	7	memorization	memorization	NOUN
ajird-925	109	8	or	or	CCONJ
ajird-925	109	9	procedural	procedural	ADJ
ajird-925	109	10	fluency	fluency	NOUN
ajird-925	109	11	,	,	PUNCT
ajird-925	109	12	design	design	NOUN
ajird-925	109	13	assessments	assessment	NOUN
ajird-925	109	14	that	that	PRON
ajird-925	109	15	assess	assess	VERB
ajird-925	109	16	conceptual	conceptual	ADJ
ajird-925	109	17	understanding	understanding	NOUN
ajird-925	109	18	,	,	PUNCT
ajird-925	109	19	problem	problem	NOUN
ajird-925	109	20	-	-	PUNCT
ajird-925	109	21	solving	solve	VERB
ajird-925	109	22	skills	skill	NOUN
ajird-925	109	23	,	,	PUNCT
ajird-925	109	24	and	and	CCONJ
ajird-925	109	25	the	the	DET
ajird-925	109	26	ability	ability	NOUN
ajird-925	109	27	to	to	PART
ajird-925	109	28	apply	apply	VERB
ajird-925	109	29	mathematical	mathematical	ADJ
ajird-925	109	30	concepts	concept	NOUN
ajird-925	109	31	in	in	ADP
ajird-925	109	32	real	real	ADJ
ajird-925	109	33	-	-	PUNCT
ajird-925	109	34	world	world	NOUN
ajird-925	109	35	contexts	contexts	NOUN
ajird-925	109	36	.	.	PUNCT
ajird-925	110	1	conclusion	conclusion	NOUN
ajird-925	110	2	incorporating	incorporate	VERB
ajird-925	110	3	student	student	NOUN
ajird-925	110	4	-	-	PUNCT
ajird-925	110	5	led	lead	VERB
ajird-925	110	6	investigations	investigation	NOUN
ajird-925	110	7	within	within	ADP
ajird-925	110	8	inquiry	inquiry	NOUN
ajird-925	110	9	-	-	PUNCT
ajird-925	110	10	based	base	VERB
ajird-925	110	11	learning	learning	NOUN
ajird-925	110	12	cultivates	cultivate	VERB
ajird-925	110	13	critical	critical	ADJ
ajird-925	110	14	thinking	thinking	NOUN
ajird-925	110	15	,	,	PUNCT
ajird-925	110	16	ownership	ownership	NOUN
ajird-925	110	17	of	of	ADP
ajird-925	110	18	learning	learning	NOUN
ajird-925	110	19	,	,	PUNCT
ajird-925	110	20	and	and	CCONJ
ajird-925	110	21	curiosity	curiosity	NOUN
ajird-925	110	22	in	in	ADP
ajird-925	110	23	mathematics	mathematic	NOUN
ajird-925	110	24	education	education	NOUN
ajird-925	110	25	.	.	PUNCT
ajird-925	111	1	by	by	ADP
ajird-925	111	2	empowering	empower	VERB
ajird-925	111	3	students	student	NOUN
ajird-925	111	4	to	to	PART
ajird-925	111	5	explore	explore	VERB
ajird-925	111	6	their	their	PRON
ajird-925	111	7	own	own	ADJ
ajird-925	111	8	topics	topic	NOUN
ajird-925	111	9	,	,	PUNCT
ajird-925	111	10	conduct	conduct	VERB
ajird-925	111	11	research	research	NOUN
ajird-925	111	12	,	,	PUNCT
ajird-925	111	13	and	and	CCONJ
ajird-925	111	14	apply	apply	VERB
ajird-925	111	15	problem	problem	NOUN
ajird-925	111	16	-	-	PUNCT
ajird-925	111	17	solving	solve	VERB
ajird-925	111	18	skills	skill	NOUN
ajird-925	111	19	,	,	PUNCT
ajird-925	111	20	they	they	PRON
ajird-925	111	21	become	become	VERB
ajird-925	111	22	active	active	ADJ
ajird-925	111	23	participants	participant	NOUN
ajird-925	111	24	in	in	ADP
ajird-925	111	25	their	their	PRON
ajird-925	111	26	education	education	NOUN
ajird-925	111	27	.	.	PUNCT
ajird-925	112	1	this	this	DET
ajird-925	112	2	approach	approach	NOUN
ajird-925	112	3	fosters	foster	VERB
ajird-925	112	4	a	a	DET
ajird-925	112	5	deeper	deep	ADJ
ajird-925	112	6	understanding	understanding	NOUN
ajird-925	112	7	of	of	ADP
ajird-925	112	8	mathematical	mathematical	ADJ
ajird-925	112	9	concepts	concept	NOUN
ajird-925	112	10	and	and	CCONJ
ajird-925	112	11	nurtures	nurture	VERB
ajird-925	112	12	lifelong	lifelong	ADJ
ajird-925	112	13	learners	learner	NOUN
ajird-925	112	14	equipped	equip	VERB
ajird-925	112	15	with	with	ADP
ajird-925	112	16	essential	essential	ADJ
ajird-925	112	17	skills	skill	NOUN
ajird-925	112	18	for	for	ADP
ajird-925	112	19	success	success	NOUN
ajird-925	112	20	.	.	PUNCT
ajird-925	113	1	references	reference	NOUN
ajird-925	113	2	:	:	PUNCT
ajird-925	113	3	1	1	X
ajird-925	113	4	.	.	X
ajird-925	113	5	boaler	boaler	NOUN
ajird-925	113	6	,	,	PUNCT
ajird-925	113	7	j.	j.	PROPN
ajird-925	113	8	(	(	PUNCT
ajird-925	113	9	2016	2016	NUM
ajird-925	113	10	)	)	PUNCT
ajird-925	113	11	.	.	PUNCT
ajird-925	114	1	mathematical	mathematical	ADJ
ajird-925	114	2	mindsets	mindset	NOUN
ajird-925	114	3	:	:	PUNCT
ajird-925	114	4	unleashing	unleash	VERB
ajird-925	114	5	students	student	NOUN
ajird-925	114	6	'	'	PART
ajird-925	114	7	potential	potential	NOUN
ajird-925	114	8	through	through	ADP
ajird-925	114	9	creative	creative	ADJ
ajird-925	114	10	math	math	NOUN
ajird-925	114	11	,	,	PUNCT
ajird-925	114	12	inspiring	inspire	VERB
ajird-925	114	13	messages	message	NOUN
ajird-925	114	14	,	,	PUNCT
ajird-925	114	15	and	and	CCONJ
ajird-925	114	16	innovative	innovative	ADJ
ajird-925	114	17	teaching	teaching	NOUN
ajird-925	114	18	.	.	PUNCT
ajird-925	115	1	jossey	jossey	NOUN
ajird-925	115	2	-	-	PUNCT
ajird-925	115	3	bass	bass	NOUN
ajird-925	115	4	.	.	PUNCT
ajird-925	116	1	2	2	X
ajird-925	116	2	.	.	X
ajird-925	116	3	national	national	PROPN
ajird-925	116	4	council	council	PROPN
ajird-925	116	5	of	of	ADP
ajird-925	116	6	teachers	teacher	NOUN
ajird-925	116	7	of	of	ADP
ajird-925	116	8	mathematics	mathematic	NOUN
ajird-925	116	9	.	.	PUNCT
ajird-925	117	1	(	(	PUNCT
ajird-925	117	2	2000	2000	NUM
ajird-925	117	3	)	)	PUNCT
ajird-925	117	4	.	.	PUNCT
ajird-925	118	1	principles	principle	NOUN
ajird-925	118	2	and	and	CCONJ
ajird-925	118	3	standards	standard	NOUN
ajird-925	118	4	for	for	ADP
ajird-925	118	5	school	school	NOUN
ajird-925	118	6	mathematics	mathematic	NOUN
ajird-925	118	7	.	.	PUNCT
ajird-925	119	1	reston	reston	PROPN
ajird-925	119	2	,	,	PUNCT
ajird-925	119	3	va	va	NOUN
ajird-925	119	4	:	:	PUNCT
ajird-925	119	5	nctm	nctm	ADJ
ajird-925	119	6	.	.	PUNCT
ajird-925	120	1	3	3	X
ajird-925	120	2	.	.	X
ajird-925	120	3	lai	lai	PROPN
ajird-925	120	4	,	,	PUNCT
ajird-925	120	5	y.	y.	PROPN
ajird-925	120	6	,	,	PUNCT
ajird-925	120	7	&	&	CCONJ
ajird-925	120	8	law	law	PROPN
ajird-925	120	9	,	,	PUNCT
ajird-925	120	10	n.	n.	NOUN
ajird-925	120	11	(	(	PUNCT
ajird-925	120	12	2006	2006	NUM
ajird-925	120	13	)	)	PUNCT
ajird-925	120	14	.	.	PUNCT
ajird-925	121	1	student	student	NOUN
ajird-925	121	2	-	-	PUNCT
ajird-925	121	3	led	lead	VERB
ajird-925	121	4	mathematical	mathematical	ADJ
ajird-925	121	5	investigations	investigation	NOUN
ajird-925	121	6	:	:	PUNCT
ajird-925	121	7	an	an	DET
ajird-925	121	8	exploratory	exploratory	ADJ
ajird-925	121	9	study	study	NOUN
ajird-925	121	10	in	in	ADP
ajird-925	121	11	hong	hong	PROPN
ajird-925	121	12	kong	kong	PROPN
ajird-925	121	13	primary	primary	ADJ
ajird-925	121	14	schools	school	NOUN
ajird-925	121	15	.	.	PUNCT
ajird-925	122	1	educational	educational	ADJ
ajird-925	122	2	studies	study	NOUN
ajird-925	122	3	in	in	ADP
ajird-925	122	4	mathematics	mathematic	NOUN
ajird-925	122	5	,	,	PUNCT
ajird-925	122	6	61(3	61(3	NUM
ajird-925	122	7	)	)	PUNCT
ajird-925	122	8	,	,	PUNCT
ajird-925	122	9	365381	365381	NUM
ajird-925	122	10	.	.	PUNCT
ajird-925	123	1	4	4	NUM
ajird-925	123	2	.	.	X
ajird-925	123	3	kallery	kallery	NOUN
ajird-925	123	4	,	,	PUNCT
ajird-925	123	5	m.	m.	NOUN
ajird-925	123	6	,	,	PUNCT
ajird-925	123	7	&	&	CCONJ
ajird-925	123	8	psillos	psillos	PROPN
ajird-925	123	9	,	,	PUNCT
ajird-925	123	10	d.	d.	PROPN
ajird-925	123	11	(	(	PUNCT
ajird-925	123	12	2008	2008	NUM
ajird-925	123	13	)	)	PUNCT
ajird-925	123	14	.	.	PUNCT
ajird-925	124	1	student	student	NOUN
ajird-925	124	2	-	-	PUNCT
ajird-925	124	3	led	lead	VERB
ajird-925	124	4	,	,	PUNCT
ajird-925	124	5	inquiry	inquiry	NOUN
ajird-925	124	6	-	-	PUNCT
ajird-925	124	7	based	base	VERB
ajird-925	124	8	learning	learning	NOUN
ajird-925	124	9	in	in	ADP
ajird-925	124	10	mathematics	mathematic	NOUN
ajird-925	124	11	:	:	PUNCT
ajird-925	124	12	a	a	DET
ajird-925	124	13	case	case	NOUN
ajird-925	124	14	study	study	NOUN
ajird-925	124	15	in	in	ADP
ajird-925	124	16	a	a	DET
ajird-925	124	17	greek	greek	ADJ
ajird-925	124	18	primary	primary	ADJ
ajird-925	124	19	school	school	NOUN
ajird-925	124	20	.	.	PUNCT
ajird-925	125	1	journal	journal	PROPN
ajird-925	125	2	of	of	ADP
ajird-925	125	3	science	science	NOUN
ajird-925	125	4	and	and	CCONJ
ajird-925	125	5	mathematics	mathematic	NOUN
ajird-925	125	6	education	education	NOUN
ajird-925	125	7	in	in	ADP
ajird-925	125	8	southeast	southeast	PROPN
ajird-925	125	9	asia	asia	PROPN
ajird-925	125	10	,	,	PUNCT
ajird-925	125	11	31(2	31(2	NUM
ajird-925	125	12	)	)	PUNCT
ajird-925	125	13	,	,	PUNCT
ajird-925	125	14	151	151	NUM
ajird-925	125	15	-	-	SYM
ajird-925	125	16	174	174	NUM
ajird-925	125	17	.	.	PUNCT
ajird-925	126	1	5	5	NUM
ajird-925	126	2	.	.	X
ajird-925	126	3	supovitz	supovitz	PROPN
ajird-925	126	4	,	,	PUNCT
ajird-925	126	5	j.	j.	PROPN
ajird-925	126	6	a.	a.	PROPN
ajird-925	126	7	,	,	PUNCT
ajird-925	126	8	mayer	mayer	PROPN
ajird-925	126	9	,	,	PUNCT
ajird-925	126	10	d.	d.	PROPN
ajird-925	126	11	p.	p.	PROPN
ajird-925	126	12	,	,	PUNCT
ajird-925	126	13	&	&	CCONJ
ajird-925	126	14	kahle	kahle	PROPN
ajird-925	126	15	,	,	PUNCT
ajird-925	126	16	j.	j.	PROPN
ajird-925	126	17	b.	b.	PROPN
ajird-925	126	18	(	(	PUNCT
ajird-925	126	19	2000	2000	NUM
ajird-925	126	20	)	)	PUNCT
ajird-925	126	21	.	.	PUNCT
ajird-925	127	1	promoting	promote	VERB
ajird-925	127	2	inquiry	inquiry	NOUN
ajird-925	127	3	-	-	PUNCT
ajird-925	127	4	based	base	VERB
ajird-925	127	5	instruction	instruction	NOUN
ajird-925	127	6	in	in	ADP
ajird-925	127	7	mathematics	mathematic	NOUN
ajird-925	127	8	:	:	PUNCT
ajird-925	127	9	a	a	DET
ajird-925	127	10	professional	professional	ADJ
ajird-925	127	11	development	development	NOUN
ajird-925	127	12	model	model	NOUN
ajird-925	127	13	for	for	ADP
ajird-925	127	14	systemic	systemic	ADJ
ajird-925	127	15	reform	reform	NOUN
ajird-925	127	16	.	.	PUNCT
ajird-925	128	1	journal	journal	PROPN
ajird-925	128	2	of	of	ADP
ajird-925	128	3	research	research	NOUN
ajird-925	128	4	in	in	ADP
ajird-925	128	5	science	science	NOUN
ajird-925	128	6	teaching	teaching	NOUN
ajird-925	128	7	,	,	PUNCT
ajird-925	128	8	37(8	37(8	NUM
ajird-925	128	9	)	)	PUNCT
ajird-925	128	10	,	,	PUNCT
ajird-925	128	11	806	806	NUM
ajird-925	128	12	-	-	SYM
ajird-925	128	13	838	838	NUM
ajird-925	128	14	.	.	PUNCT