id	sid	tid	token	lemma	pos
cana-5228	1	1	communications	communication	NOUN
cana-5228	1	2	on	on	ADP
cana-5228	1	3	applied	apply	VERB
cana-5228	1	4	nonlinear	nonlinear	ADJ
cana-5228	1	5	analysis	analysis	NOUN
cana-5228	1	6	issn	issn	NOUN
cana-5228	1	7	:	:	PUNCT
cana-5228	1	8	1074	1074	NUM
cana-5228	1	9	-	-	PUNCT
cana-5228	1	10	133x	133x	NUM
cana-5228	1	11	vol	vol	VERB
cana-5228	1	12	32	32	NUM
cana-5228	1	13	no	no	NOUN
cana-5228	1	14	.	.	PUNCT
cana-5228	2	1	10s	10	NOUN
cana-5228	2	2	(	(	PUNCT
cana-5228	2	3	2025	2025	NUM
cana-5228	2	4	)	)	PUNCT
cana-5228	2	5	1237	1237	NUM
cana-5228	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	3	1	the	the	DET
cana-5228	3	2	use	use	NOUN
cana-5228	3	3	of	of	ADP
cana-5228	3	4	mathematical	mathematical	ADJ
cana-5228	3	5	working	working	NOUN
cana-5228	3	6	space	space	NOUN
cana-5228	3	7	strategies	strategy	NOUN
cana-5228	3	8	to	to	PART
cana-5228	3	9	improve	improve	VERB
cana-5228	3	10	the	the	DET
cana-5228	3	11	student	student	NOUN
cana-5228	3	12	proof	proof	NOUN
cana-5228	3	13	process	process	NOUN
cana-5228	3	14	isnani1	isnani1	PROPN
cana-5228	3	15	,	,	PUNCT
cana-5228	3	16	s.b	s.b	PROPN
cana-5228	3	17	.	.	PROPN
cana-5228	3	18	waluya2	waluya2	PROPN
cana-5228	3	19	*	*	PUNCT
cana-5228	3	20	,	,	PUNCT
cana-5228	3	21	dwijanto3	dwijanto3	PROPN
cana-5228	3	22	,	,	PUNCT
cana-5228	3	23	t.s.n	t.s.n	NOUN
cana-5228	3	24	.	.	PUNCT
cana-5228	4	1	asih4	asih4	PROPN
cana-5228	4	2	department	department	NOUN
cana-5228	4	3	mathematics	mathematics	PROPN
cana-5228	4	4	education	education	NOUN
cana-5228	4	5	universitas	universita	NOUN
cana-5228	4	6	negeri	negeri	PROPN
cana-5228	4	7	semarang	semarang	PROPN
cana-5228	4	8	central	central	PROPN
cana-5228	4	9	java	java	PROPN
cana-5228	4	10	indonesia	indonesia	PROPN
cana-5228	4	11	correspondence	correspondence	PROPN
cana-5228	4	12	:	:	PUNCT
cana-5228	5	1	*	*	PUNCT
cana-5228	5	2	s.b.waluya@mail.unnes.ac.id	s.b.waluya@mail.unnes.ac.id	NOUN
cana-5228	5	3	article	article	NOUN
cana-5228	5	4	history	history	NOUN
cana-5228	5	5	:	:	PUNCT
cana-5228	5	6	received	receive	VERB
cana-5228	5	7	:	:	PUNCT
cana-5228	5	8	12	12	NUM
cana-5228	5	9	-	-	SYM
cana-5228	5	10	01	01	NUM
cana-5228	5	11	-	-	PUNCT
cana-5228	5	12	2025	2025	NUM
cana-5228	5	13	revised	revise	VERB
cana-5228	5	14	:	:	PUNCT
cana-5228	5	15	15	15	NUM
cana-5228	5	16	-	-	NUM
cana-5228	5	17	02	02	NUM
cana-5228	5	18	-	-	PUNCT
cana-5228	5	19	2025	2025	NUM
cana-5228	5	20	accepted	accept	VERB
cana-5228	5	21	:	:	PUNCT
cana-5228	5	22	01	01	NUM
cana-5228	5	23	-	-	SYM
cana-5228	5	24	03	03	NUM
cana-5228	5	25	-	-	PUNCT
cana-5228	5	26	2025	2025	NUM
cana-5228	5	27	abstract	abstract	NOUN
cana-5228	5	28	:	:	PUNCT
cana-5228	5	29	the	the	DET
cana-5228	5	30	proofing	proof	VERB
cana-5228	5	31	process	process	NOUN
cana-5228	5	32	in	in	ADP
cana-5228	5	33	real	real	ADJ
cana-5228	5	34	analysis	analysis	NOUN
cana-5228	5	35	involves	involve	VERB
cana-5228	5	36	proofing	proof	VERB
cana-5228	5	37	skills	skill	NOUN
cana-5228	5	38	as	as	ADP
cana-5228	5	39	part	part	NOUN
cana-5228	5	40	of	of	ADP
cana-5228	5	41	reasoning	reasoning	NOUN
cana-5228	5	42	skills	skill	NOUN
cana-5228	5	43	.	.	PUNCT
cana-5228	6	1	currently	currently	ADV
cana-5228	6	2	,	,	PUNCT
cana-5228	6	3	the	the	DET
cana-5228	6	4	main	main	ADJ
cana-5228	6	5	problem	problem	NOUN
cana-5228	6	6	is	be	AUX
cana-5228	6	7	that	that	SCONJ
cana-5228	6	8	students	student	NOUN
cana-5228	6	9	who	who	PRON
cana-5228	6	10	are	be	AUX
cana-5228	6	11	prospective	prospective	ADJ
cana-5228	6	12	mathematics	mathematic	NOUN
cana-5228	6	13	teachers	teacher	NOUN
cana-5228	6	14	have	have	VERB
cana-5228	6	15	difficulty	difficulty	NOUN
cana-5228	6	16	in	in	ADP
cana-5228	6	17	compiling	compile	VERB
cana-5228	6	18	mathematical	mathematical	ADJ
cana-5228	6	19	evidence	evidence	NOUN
cana-5228	6	20	and	and	CCONJ
cana-5228	6	21	considering	consider	VERB
cana-5228	6	22	the	the	DET
cana-5228	6	23	abstract	abstract	NOUN
cana-5228	6	24	of	of	ADP
cana-5228	6	25	this	this	DET
cana-5228	6	26	course	course	NOUN
cana-5228	6	27	.	.	PUNCT
cana-5228	7	1	this	this	DET
cana-5228	7	2	study	study	NOUN
cana-5228	7	3	aims	aim	VERB
cana-5228	7	4	to	to	PART
cana-5228	7	5	investigate	investigate	VERB
cana-5228	7	6	the	the	DET
cana-5228	7	7	extent	extent	NOUN
cana-5228	7	8	to	to	PART
cana-5228	7	9	which	which	PRON
cana-5228	7	10	students	student	NOUN
cana-5228	7	11	master	master	VERB
cana-5228	7	12	the	the	DET
cana-5228	7	13	concept	concept	NOUN
cana-5228	7	14	of	of	ADP
cana-5228	7	15	mathematical	mathematical	ADJ
cana-5228	7	16	proof	proof	NOUN
cana-5228	7	17	.	.	PUNCT
cana-5228	8	1	adopt	adopt	VERB
cana-5228	8	2	a	a	DET
cana-5228	8	3	mixed	mixed	ADJ
cana-5228	8	4	method	method	NOUN
cana-5228	8	5	with	with	ADP
cana-5228	8	6	embedded	embed	VERB
cana-5228	8	7	strategies	strategy	NOUN
cana-5228	8	8	and	and	CCONJ
cana-5228	8	9	concurrent	concurrent	ADJ
cana-5228	8	10	research	research	NOUN
cana-5228	8	11	design	design	NOUN
cana-5228	8	12	,	,	PUNCT
cana-5228	8	13	using	use	VERB
cana-5228	8	14	experiments	experiment	NOUN
cana-5228	8	15	.	.	PUNCT
cana-5228	9	1	participants	participant	NOUN
cana-5228	9	2	are	be	AUX
cana-5228	9	3	students	student	NOUN
cana-5228	9	4	at	at	ADP
cana-5228	9	5	private	private	ADJ
cana-5228	9	6	universities	university	NOUN
cana-5228	9	7	in	in	ADP
cana-5228	9	8	the	the	DET
cana-5228	9	9	northern	northern	ADJ
cana-5228	9	10	coastal	coastal	ADJ
cana-5228	9	11	area	area	NOUN
cana-5228	9	12	of	of	ADP
cana-5228	9	13	western	western	ADJ
cana-5228	9	14	central	central	ADJ
cana-5228	9	15	java	java	PROPN
cana-5228	9	16	,	,	PUNCT
cana-5228	9	17	indonesia	indonesia	PROPN
cana-5228	9	18	who	who	PRON
cana-5228	9	19	are	be	AUX
cana-5228	9	20	taking	take	VERB
cana-5228	9	21	the	the	DET
cana-5228	9	22	real	real	ADJ
cana-5228	9	23	analysis	analysis	NOUN
cana-5228	9	24	course	course	NOUN
cana-5228	9	25	.	.	PUNCT
cana-5228	10	1	precisely	precisely	ADV
cana-5228	10	2	in	in	ADP
cana-5228	10	3	tegal	tegal	ADJ
cana-5228	10	4	city	city	NOUN
cana-5228	10	5	and	and	CCONJ
cana-5228	10	6	brebes	brebe	NOUN
cana-5228	10	7	regency	regency	PROPN
cana-5228	10	8	in	in	ADP
cana-5228	10	9	the	the	DET
cana-5228	10	10	2022/2023	2022/2023	NUM
cana-5228	10	11	academic	academic	ADJ
cana-5228	10	12	year	year	NOUN
cana-5228	10	13	.	.	PUNCT
cana-5228	11	1	initial	initial	ADJ
cana-5228	11	2	ability	ability	NOUN
cana-5228	11	3	tests	test	NOUN
cana-5228	11	4	were	be	AUX
cana-5228	11	5	conducted	conduct	VERB
cana-5228	11	6	on	on	ADP
cana-5228	11	7	the	the	DET
cana-5228	11	8	participants	participant	NOUN
cana-5228	11	9	,	,	PUNCT
cana-5228	11	10	and	and	CCONJ
cana-5228	11	11	the	the	DET
cana-5228	11	12	results	result	NOUN
cana-5228	11	13	were	be	AUX
cana-5228	11	14	homogeneous	homogeneous	ADJ
cana-5228	11	15	.	.	PUNCT
cana-5228	12	1	during	during	ADP
cana-5228	12	2	the	the	DET
cana-5228	12	3	research	research	NOUN
cana-5228	12	4	,	,	PUNCT
cana-5228	12	5	students	student	NOUN
cana-5228	12	6	of	of	ADP
cana-5228	12	7	tegal	tegal	ADJ
cana-5228	12	8	city	city	NOUN
cana-5228	12	9	used	use	VERB
cana-5228	12	10	the	the	DET
cana-5228	12	11	guided	guide	VERB
cana-5228	12	12	discovery	discovery	NOUN
cana-5228	12	13	learning	learn	VERB
cana-5228	12	14	model	model	NOUN
cana-5228	12	15	with	with	ADP
cana-5228	12	16	the	the	DET
cana-5228	12	17	help	help	NOUN
cana-5228	12	18	of	of	ADP
cana-5228	12	19	worksheets	worksheet	NOUN
cana-5228	12	20	discussion	discussion	NOUN
cana-5228	12	21	materials	material	NOUN
cana-5228	12	22	with	with	ADP
cana-5228	12	23	the	the	DET
cana-5228	12	24	mathematics	mathematics	NOUN
cana-5228	12	25	workspace	workspace	NOUN
cana-5228	12	26	strategy	strategy	NOUN
cana-5228	12	27	.	.	PUNCT
cana-5228	13	1	based	base	VERB
cana-5228	13	2	on	on	ADP
cana-5228	13	3	the	the	DET
cana-5228	13	4	results	result	NOUN
cana-5228	13	5	of	of	ADP
cana-5228	13	6	several	several	ADJ
cana-5228	13	7	assignments	assignment	NOUN
cana-5228	13	8	,	,	PUNCT
cana-5228	13	9	post	post	NOUN
cana-5228	13	10	-	-	NOUN
cana-5228	13	11	tests	test	NOUN
cana-5228	13	12	,	,	PUNCT
cana-5228	13	13	and	and	CCONJ
cana-5228	13	14	interviews	interview	NOUN
cana-5228	13	15	show	show	VERB
cana-5228	13	16	a	a	DET
cana-5228	13	17	very	very	ADV
cana-5228	13	18	satisfactory	satisfactory	ADJ
cana-5228	13	19	overall	overall	ADJ
cana-5228	13	20	implementation	implementation	NOUN
cana-5228	13	21	rate	rate	NOUN
cana-5228	13	22	in	in	ADP
cana-5228	13	23	the	the	DET
cana-5228	13	24	experimental	experimental	ADJ
cana-5228	13	25	class	class	NOUN
cana-5228	13	26	with	with	ADP
cana-5228	13	27	high	high	ADJ
cana-5228	13	28	adoption	adoption	NOUN
cana-5228	13	29	.	.	PUNCT
cana-5228	14	1	in	in	ADP
cana-5228	14	2	the	the	DET
cana-5228	14	3	future	future	NOUN
cana-5228	14	4	,	,	PUNCT
cana-5228	14	5	this	this	DET
cana-5228	14	6	research	research	NOUN
cana-5228	14	7	can	can	AUX
cana-5228	14	8	be	be	AUX
cana-5228	14	9	focused	focus	VERB
cana-5228	14	10	on	on	ADP
cana-5228	14	11	the	the	DET
cana-5228	14	12	development	development	NOUN
cana-5228	14	13	of	of	ADP
cana-5228	14	14	evidentiary	evidentiary	ADJ
cana-5228	14	15	problems	problem	NOUN
cana-5228	14	16	to	to	PART
cana-5228	14	17	improve	improve	VERB
cana-5228	14	18	the	the	DET
cana-5228	14	19	quality	quality	NOUN
cana-5228	14	20	of	of	ADP
cana-5228	14	21	evidentiary	evidentiary	ADJ
cana-5228	14	22	capabilities	capability	NOUN
cana-5228	14	23	and	and	CCONJ
cana-5228	14	24	investigate	investigate	VERB
cana-5228	14	25	obstacles	obstacle	NOUN
cana-5228	14	26	in	in	ADP
cana-5228	14	27	studying	study	VERB
cana-5228	14	28	evidentiary	evidentiary	ADJ
cana-5228	14	29	problems	problem	NOUN
cana-5228	14	30	.	.	PUNCT
cana-5228	15	1	finally	finally	ADV
cana-5228	15	2	,	,	PUNCT
cana-5228	15	3	this	this	DET
cana-5228	15	4	research	research	NOUN
cana-5228	15	5	contributes	contribute	VERB
cana-5228	15	6	to	to	ADP
cana-5228	15	7	the	the	DET
cana-5228	15	8	effective	effective	ADJ
cana-5228	15	9	teaching	teaching	NOUN
cana-5228	15	10	of	of	ADP
cana-5228	15	11	real	real	ADJ
cana-5228	15	12	analysis	analysis	NOUN
cana-5228	15	13	by	by	ADP
cana-5228	15	14	providing	provide	VERB
cana-5228	15	15	insights	insight	NOUN
cana-5228	15	16	into	into	ADP
cana-5228	15	17	evidentiary	evidentiary	ADJ
cana-5228	15	18	problems	problem	NOUN
cana-5228	15	19	easy	easy	ADJ
cana-5228	15	20	to	to	PART
cana-5228	15	21	learn	learn	VERB
cana-5228	15	22	.	.	PUNCT
cana-5228	16	1	keywords	keyword	NOUN
cana-5228	16	2	:	:	PUNCT
cana-5228	16	3	proof	proof	ADJ
cana-5228	16	4	ability	ability	NOUN
cana-5228	16	5	,	,	PUNCT
cana-5228	16	6	model	model	NOUN
cana-5228	16	7	guided	guide	VERB
cana-5228	16	8	discovery	discovery	PROPN
cana-5228	16	9	learning	learning	NOUN
cana-5228	16	10	,	,	PUNCT
cana-5228	16	11	mathematical	mathematical	ADJ
cana-5228	16	12	working	working	NOUN
cana-5228	16	13	space	space	NOUN
cana-5228	16	14	strategies	strategy	NOUN
cana-5228	16	15	,	,	PUNCT
cana-5228	16	16	real	real	ADJ
cana-5228	16	17	analysis	analysis	NOUN
cana-5228	16	18	.	.	PUNCT
cana-5228	17	1	1	1	X
cana-5228	17	2	.	.	X
cana-5228	17	3	introduction	introduction	NOUN
cana-5228	17	4	the	the	DET
cana-5228	17	5	ability	ability	NOUN
cana-5228	17	6	to	to	PART
cana-5228	17	7	process	process	VERB
cana-5228	17	8	proof	proof	NOUN
cana-5228	17	9	is	be	AUX
cana-5228	17	10	one	one	NUM
cana-5228	17	11	of	of	ADP
cana-5228	17	12	the	the	DET
cana-5228	17	13	abilities	ability	NOUN
cana-5228	17	14	that	that	PRON
cana-5228	17	15	must	must	AUX
cana-5228	17	16	be	be	AUX
cana-5228	17	17	possessed	possess	VERB
cana-5228	17	18	by	by	ADP
cana-5228	17	19	mathematics	mathematics	NOUN
cana-5228	17	20	students	student	NOUN
cana-5228	17	21	and	and	CCONJ
cana-5228	17	22	mathematics	mathematic	NOUN
cana-5228	17	23	education	education	NOUN
cana-5228	17	24	.	.	PUNCT
cana-5228	18	1	students	student	NOUN
cana-5228	18	2	are	be	AUX
cana-5228	18	3	at	at	ADP
cana-5228	18	4	a	a	DET
cana-5228	18	5	high	high	ADJ
cana-5228	18	6	level	level	NOUN
cana-5228	18	7	that	that	PRON
cana-5228	18	8	requires	require	VERB
cana-5228	18	9	involvement	involvement	NOUN
cana-5228	18	10	in	in	ADP
cana-5228	18	11	proof	proof	NOUN
cana-5228	18	12	[	[	X
cana-5228	18	13	1	1	NUM
cana-5228	18	14	]	]	PUNCT
cana-5228	18	15	.	.	PUNCT
cana-5228	19	1	constructing	construct	VERB
cana-5228	19	2	and	and	CCONJ
cana-5228	19	3	understanding	understand	VERB
cana-5228	19	4	evidence	evidence	NOUN
cana-5228	19	5	and	and	CCONJ
cana-5228	19	6	abstract	abstract	ADJ
cana-5228	19	7	problems	problem	NOUN
cana-5228	19	8	in	in	ADP
cana-5228	19	9	the	the	DET
cana-5228	19	10	proof	proof	NOUN
cana-5228	19	11	are	be	AUX
cana-5228	19	12	the	the	DET
cana-5228	19	13	difficulties	difficulty	NOUN
cana-5228	19	14	experienced	experience	VERB
cana-5228	19	15	by	by	ADP
cana-5228	19	16	students	student	NOUN
cana-5228	19	17	so	so	ADV
cana-5228	19	18	far	far	ADV
cana-5228	19	19	[	[	X
cana-5228	19	20	2	2	NUM
cana-5228	19	21	]	]	PUNCT
cana-5228	19	22	,	,	PUNCT
cana-5228	19	23	[	[	X
cana-5228	19	24	3	3	NUM
cana-5228	19	25	]	]	PUNCT
cana-5228	19	26	,	,	PUNCT
cana-5228	19	27	[	[	X
cana-5228	19	28	4	4	NUM
cana-5228	19	29	]	]	PUNCT
cana-5228	19	30	,	,	PUNCT
cana-5228	19	31	[	[	X
cana-5228	19	32	5	5	NUM
cana-5228	19	33	]	]	PUNCT
cana-5228	19	34	,	,	PUNCT
cana-5228	19	35	[	[	X
cana-5228	19	36	6	6	NUM
cana-5228	19	37	]	]	PUNCT
cana-5228	19	38	,	,	PUNCT
cana-5228	19	39	[	[	X
cana-5228	19	40	7	7	NUM
cana-5228	19	41	]	]	PUNCT
cana-5228	19	42	.	.	PUNCT
cana-5228	20	1	the	the	DET
cana-5228	20	2	study	study	NOUN
cana-5228	20	3	program	program	NOUN
cana-5228	20	4	stipulates	stipulate	VERB
cana-5228	20	5	that	that	SCONJ
cana-5228	20	6	students	student	NOUN
cana-5228	20	7	must	must	AUX
cana-5228	20	8	be	be	AUX
cana-5228	20	9	involved	involve	VERB
cana-5228	20	10	with	with	ADP
cana-5228	20	11	mathematical	mathematical	ADJ
cana-5228	20	12	proof	proof	NOUN
cana-5228	20	13	to	to	PART
cana-5228	20	14	develop	develop	VERB
cana-5228	20	15	students	student	NOUN
cana-5228	20	16	abilities	ability	NOUN
cana-5228	20	17	in	in	ADP
cana-5228	20	18	the	the	DET
cana-5228	20	19	proof	proof	ADJ
cana-5228	20	20	process	process	NOUN
cana-5228	20	21	[	[	X
cana-5228	20	22	8	8	NUM
cana-5228	20	23	]	]	PUNCT
cana-5228	20	24	.	.	PUNCT
cana-5228	21	1	students	student	NOUN
cana-5228	21	2	must	must	AUX
cana-5228	21	3	be	be	AUX
cana-5228	21	4	proficient	proficient	ADJ
cana-5228	21	5	in	in	ADP
cana-5228	21	6	developing	develop	VERB
cana-5228	21	7	their	their	PRON
cana-5228	21	8	working	working	NOUN
cana-5228	21	9	memory	memory	NOUN
cana-5228	21	10	and	and	CCONJ
cana-5228	21	11	cognitive	cognitive	NOUN
cana-5228	21	12	.	.	PUNCT
cana-5228	22	1	this	this	PRON
cana-5228	22	2	will	will	AUX
cana-5228	22	3	affect	affect	VERB
cana-5228	22	4	the	the	DET
cana-5228	22	5	ability	ability	NOUN
cana-5228	22	6	of	of	ADP
cana-5228	22	7	students	student	NOUN
cana-5228	22	8	in	in	ADP
cana-5228	22	9	the	the	DET
cana-5228	22	10	proof	proof	ADJ
cana-5228	22	11	process	process	NOUN
cana-5228	22	12	[	[	X
cana-5228	22	13	9	9	NUM
cana-5228	22	14	]	]	PUNCT
cana-5228	22	15	.	.	PUNCT
cana-5228	23	1	good	good	ADJ
cana-5228	23	2	understanding	understanding	NOUN
cana-5228	23	3	and	and	CCONJ
cana-5228	23	4	basic	basic	ADJ
cana-5228	23	5	mathematical	mathematical	ADJ
cana-5228	23	6	concepts	concept	NOUN
cana-5228	23	7	are	be	AUX
cana-5228	23	8	needed	need	VERB
cana-5228	23	9	in	in	ADP
cana-5228	23	10	the	the	DET
cana-5228	23	11	ability	ability	NOUN
cana-5228	23	12	of	of	ADP
cana-5228	23	13	the	the	DET
cana-5228	23	14	proof	proof	ADJ
cana-5228	23	15	process	process	NOUN
cana-5228	23	16	.	.	PUNCT
cana-5228	24	1	it	it	PRON
cana-5228	24	2	allows	allow	VERB
cana-5228	24	3	mathematicians	mathematician	NOUN
cana-5228	24	4	to	to	PART
cana-5228	24	5	convince	convince	VERB
cana-5228	24	6	others	other	NOUN
cana-5228	24	7	of	of	ADP
cana-5228	24	8	the	the	DET
cana-5228	24	9	correctness	correctness	NOUN
cana-5228	24	10	of	of	ADP
cana-5228	24	11	their	their	PRON
cana-5228	24	12	ideas	idea	NOUN
cana-5228	24	13	and	and	CCONJ
cana-5228	24	14	assertions	assertion	NOUN
cana-5228	24	15	.	.	PUNCT
cana-5228	25	1	a	a	DET
cana-5228	25	2	good	good	ADJ
cana-5228	25	3	understanding	understanding	NOUN
cana-5228	25	4	of	of	ADP
cana-5228	25	5	mathematical	mathematical	ADJ
cana-5228	25	6	concepts	concept	NOUN
cana-5228	25	7	is	be	AUX
cana-5228	25	8	essential	essential	ADJ
cana-5228	25	9	for	for	ADP
cana-5228	25	10	constructing	construct	VERB
cana-5228	25	11	rigorous	rigorous	ADJ
cana-5228	25	12	and	and	CCONJ
cana-5228	25	13	convincing	convincing	ADJ
cana-5228	25	14	proofs	proof	NOUN
cana-5228	25	15	[	[	X
cana-5228	25	16	1	1	NUM
cana-5228	25	17	]	]	PUNCT
cana-5228	25	18	,	,	PUNCT
cana-5228	25	19	[	[	X
cana-5228	25	20	2	2	NUM
cana-5228	25	21	]	]	PUNCT
cana-5228	25	22	,	,	PUNCT
cana-5228	25	23	[	[	X
cana-5228	25	24	10	10	NUM
cana-5228	25	25	]	]	PUNCT
cana-5228	25	26	,	,	PUNCT
cana-5228	25	27	[	[	X
cana-5228	25	28	11	11	NUM
cana-5228	25	29	]	]	PUNCT
cana-5228	25	30	.	.	PUNCT
cana-5228	26	1	the	the	DET
cana-5228	26	2	role	role	NOUN
cana-5228	26	3	of	of	ADP
cana-5228	26	4	proof	proof	NOUN
cana-5228	26	5	is	be	AUX
cana-5228	26	6	to	to	PART
cana-5228	26	7	verify	verify	VERB
cana-5228	26	8	,	,	PUNCT
cana-5228	26	9	explain	explain	VERB
cana-5228	26	10	,	,	PUNCT
cana-5228	26	11	systematize	systematize	VERB
cana-5228	26	12	,	,	PUNCT
cana-5228	26	13	discover	discover	VERB
cana-5228	26	14	,	,	PUNCT
cana-5228	26	15	and	and	CCONJ
cana-5228	26	16	communicate	communicate	VERB
cana-5228	26	17	.	.	PUNCT
cana-5228	27	1	proofs	proof	NOUN
cana-5228	27	2	can	can	AUX
cana-5228	27	3	demonstrate	demonstrate	VERB
cana-5228	27	4	the	the	DET
cana-5228	27	5	truth	truth	NOUN
cana-5228	27	6	of	of	ADP
cana-5228	27	7	mathematical	mathematical	ADJ
cana-5228	27	8	statements	statement	NOUN
cana-5228	27	9	,	,	PUNCT
cana-5228	27	10	as	as	ADV
cana-5228	27	11	well	well	ADV
cana-5228	27	12	as	as	ADP
cana-5228	27	13	can	can	AUX
cana-5228	27	14	provide	provide	VERB
cana-5228	27	15	reasonable	reasonable	ADJ
cana-5228	27	16	justifications	justification	NOUN
cana-5228	27	17	.	.	PUNCT
cana-5228	28	1	the	the	DET
cana-5228	28	2	process	process	NOUN
cana-5228	28	3	of	of	ADP
cana-5228	28	4	communications	communication	NOUN
cana-5228	28	5	on	on	ADP
cana-5228	28	6	applied	apply	VERB
cana-5228	28	7	nonlinear	nonlinear	ADJ
cana-5228	28	8	analysis	analysis	NOUN
cana-5228	28	9	issn	issn	NOUN
cana-5228	28	10	:	:	PUNCT
cana-5228	28	11	1074	1074	NUM
cana-5228	28	12	-	-	PUNCT
cana-5228	28	13	133x	133x	NUM
cana-5228	28	14	vol	vol	NOUN
cana-5228	28	15	x	x	NOUN
cana-5228	28	16	no	no	INTJ
cana-5228	28	17	.	.	PUNCT
cana-5228	29	1	y	y	NOUN
cana-5228	29	2	(	(	PUNCT
cana-5228	29	3	20	20	NUM
cana-5228	29	4	-	-	PUNCT
cana-5228	29	5	-	-	PUNCT
cana-5228	29	6	)	)	PUNCT
cana-5228	29	7	1238	1238	NUM
cana-5228	29	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	29	9	proof	proof	NOUN
cana-5228	29	10	can	can	AUX
cana-5228	29	11	lead	lead	VERB
cana-5228	29	12	to	to	ADP
cana-5228	29	13	new	new	ADJ
cana-5228	29	14	insights	insight	NOUN
cana-5228	29	15	,	,	PUNCT
cana-5228	29	16	discoveries	discovery	NOUN
cana-5228	29	17	,	,	PUNCT
cana-5228	29	18	and	and	CCONJ
cana-5228	29	19	developments	development	NOUN
cana-5228	30	1	[	[	X
cana-5228	30	2	12	12	NUM
cana-5228	30	3	]	]	PUNCT
cana-5228	30	4	,	,	PUNCT
cana-5228	30	5	[	[	X
cana-5228	30	6	13	13	NUM
cana-5228	30	7	]	]	PUNCT
cana-5228	30	8	,	,	PUNCT
cana-5228	30	9	[	[	X
cana-5228	30	10	14	14	NUM
cana-5228	30	11	]	]	PUNCT
cana-5228	30	12	.	.	PUNCT
cana-5228	31	1	the	the	DET
cana-5228	31	2	proof	proof	ADJ
cana-5228	31	3	process	process	NOUN
cana-5228	31	4	in	in	ADP
cana-5228	31	5	the	the	DET
cana-5228	31	6	department	department	NOUN
cana-5228	31	7	of	of	ADP
cana-5228	31	8	mathematics	mathematics	PROPN
cana-5228	31	9	and	and	CCONJ
cana-5228	31	10	mathematics	mathematic	NOUN
cana-5228	31	11	education	education	NOUN
cana-5228	31	12	is	be	AUX
cana-5228	31	13	found	find	VERB
cana-5228	31	14	a	a	DET
cana-5228	31	15	lot	lot	NOUN
cana-5228	31	16	,	,	PUNCT
cana-5228	31	17	one	one	NUM
cana-5228	31	18	of	of	ADP
cana-5228	31	19	which	which	PRON
cana-5228	31	20	is	be	AUX
cana-5228	31	21	in	in	ADP
cana-5228	31	22	the	the	DET
cana-5228	31	23	real	real	ADJ
cana-5228	31	24	analysis	analysis	NOUN
cana-5228	31	25	course	course	NOUN
cana-5228	31	26	.	.	PUNCT
cana-5228	32	1	real	real	ADJ
cana-5228	32	2	analysis	analysis	NOUN
cana-5228	32	3	is	be	AUX
cana-5228	32	4	a	a	DET
cana-5228	32	5	subject	subject	NOUN
cana-5228	32	6	that	that	PRON
cana-5228	32	7	requires	require	VERB
cana-5228	32	8	higher	high	ADJ
cana-5228	32	9	-	-	PUNCT
cana-5228	32	10	order	order	NOUN
cana-5228	32	11	thinking	thinking	NOUN
cana-5228	32	12	.	.	PUNCT
cana-5228	33	1	in	in	ADP
cana-5228	33	2	these	these	DET
cana-5228	33	3	courses	course	NOUN
cana-5228	33	4	,	,	PUNCT
cana-5228	33	5	a	a	DET
cana-5228	33	6	strong	strong	ADJ
cana-5228	33	7	understanding	understanding	NOUN
cana-5228	33	8	and	and	CCONJ
cana-5228	33	9	concepts	concept	NOUN
cana-5228	33	10	is	be	AUX
cana-5228	33	11	needed	need	VERB
cana-5228	33	12	to	to	PART
cana-5228	33	13	build	build	VERB
cana-5228	33	14	and	and	CCONJ
cana-5228	33	15	understand	understand	VERB
cana-5228	33	16	evidence	evidence	NOUN
cana-5228	33	17	.	.	PUNCT
cana-5228	34	1	before	before	ADP
cana-5228	34	2	taking	take	VERB
cana-5228	34	3	courses	course	NOUN
cana-5228	34	4	on	on	ADP
cana-5228	34	5	real	real	ADJ
cana-5228	34	6	analysis	analysis	NOUN
cana-5228	34	7	students	student	NOUN
cana-5228	34	8	must	must	AUX
cana-5228	34	9	be	be	AUX
cana-5228	34	10	prepared	prepare	VERB
cana-5228	34	11	to	to	PART
cana-5228	34	12	understand	understand	VERB
cana-5228	34	13	the	the	DET
cana-5228	34	14	evidence	evidence	NOUN
cana-5228	34	15	.	.	PUNCT
cana-5228	35	1	furthermore	furthermore	ADV
cana-5228	35	2	,	,	PUNCT
cana-5228	35	3	students	student	NOUN
cana-5228	35	4	must	must	AUX
cana-5228	35	5	understand	understand	VERB
cana-5228	35	6	proof	proof	NOUN
cana-5228	35	7	and	and	CCONJ
cana-5228	35	8	improve	improve	VERB
cana-5228	35	9	problem	problem	NOUN
cana-5228	35	10	-	-	PUNCT
cana-5228	35	11	solving	solve	VERB
cana-5228	35	12	skills	skill	NOUN
cana-5228	35	13	,	,	PUNCT
cana-5228	35	14	one	one	NUM
cana-5228	35	15	way	way	NOUN
cana-5228	35	16	is	be	AUX
cana-5228	35	17	to	to	PART
cana-5228	35	18	practice	practice	AUX
cana-5228	35	19	often	often	ADV
cana-5228	35	20	solving	solve	VERB
cana-5228	35	21	problems	problem	NOUN
cana-5228	35	22	related	relate	VERB
cana-5228	35	23	to	to	ADP
cana-5228	35	24	proof	proof	NOUN
cana-5228	35	25	[	[	X
cana-5228	35	26	15	15	NUM
cana-5228	35	27	]	]	PUNCT
cana-5228	35	28	,	,	PUNCT
cana-5228	36	1	[	[	X
cana-5228	36	2	16	16	NUM
cana-5228	36	3	]	]	PUNCT
cana-5228	36	4	.	.	PUNCT
cana-5228	37	1	students	student	NOUN
cana-5228	37	2	do	do	AUX
cana-5228	37	3	not	not	PART
cana-5228	37	4	understand	understand	VERB
cana-5228	37	5	the	the	DET
cana-5228	37	6	problem	problem	NOUN
cana-5228	37	7	of	of	ADP
cana-5228	37	8	proof	proof	NOUN
cana-5228	37	9	and	and	CCONJ
cana-5228	37	10	are	be	AUX
cana-5228	37	11	not	not	PART
cana-5228	37	12	familiar	familiar	ADJ
cana-5228	37	13	with	with	ADP
cana-5228	37	14	the	the	DET
cana-5228	37	15	problem	problem	NOUN
cana-5228	37	16	of	of	ADP
cana-5228	37	17	proof	proof	NOUN
cana-5228	37	18	.	.	PUNCT
cana-5228	38	1	students	student	NOUN
cana-5228	38	2	need	need	VERB
cana-5228	38	3	to	to	PART
cana-5228	38	4	be	be	AUX
cana-5228	38	5	confident	confident	ADJ
cana-5228	38	6	about	about	ADP
cana-5228	38	7	evidence	evidence	NOUN
cana-5228	38	8	to	to	PART
cana-5228	38	9	influence	influence	VERB
cana-5228	38	10	their	their	PRON
cana-5228	38	11	ability	ability	NOUN
cana-5228	38	12	to	to	PART
cana-5228	38	13	understand	understand	VERB
cana-5228	38	14	and	and	CCONJ
cana-5228	38	15	build	build	VERB
cana-5228	38	16	evidence	evidence	NOUN
cana-5228	38	17	[	[	X
cana-5228	38	18	6	6	NUM
cana-5228	38	19	]	]	PUNCT
cana-5228	38	20	.	.	PUNCT
cana-5228	39	1	most	most	ADJ
cana-5228	39	2	students	student	NOUN
cana-5228	39	3	have	have	VERB
cana-5228	39	4	an	an	DET
cana-5228	39	5	irreversible	irreversible	ADJ
cana-5228	39	6	mindset	mindset	NOUN
cana-5228	39	7	in	in	ADP
cana-5228	39	8	learning	learn	VERB
cana-5228	39	9	mathematical	mathematical	ADJ
cana-5228	39	10	proofs	proof	NOUN
cana-5228	39	11	,	,	PUNCT
cana-5228	39	12	which	which	PRON
cana-5228	39	13	leads	lead	VERB
cana-5228	39	14	to	to	ADP
cana-5228	39	15	a	a	DET
cana-5228	39	16	lack	lack	NOUN
cana-5228	39	17	of	of	ADP
cana-5228	39	18	confidence	confidence	NOUN
cana-5228	39	19	in	in	ADP
cana-5228	39	20	understanding	understanding	NOUN
cana-5228	39	21	and	and	CCONJ
cana-5228	39	22	building	building	NOUN
cana-5228	39	23	proofs	proof	NOUN
cana-5228	39	24	[	[	X
cana-5228	39	25	13	13	NUM
cana-5228	39	26	]	]	PUNCT
cana-5228	39	27	,	,	PUNCT
cana-5228	39	28	[	[	X
cana-5228	39	29	17	17	NUM
cana-5228	39	30	]	]	PUNCT
cana-5228	39	31	.	.	PUNCT
cana-5228	40	1	student	student	NOUN
cana-5228	40	2	etymology	etymology	NOUN
cana-5228	40	3	in	in	ADP
cana-5228	40	4	evidentiary	evidentiary	ADJ
cana-5228	40	5	problems	problem	NOUN
cana-5228	40	6	in	in	ADP
cana-5228	40	7	the	the	DET
cana-5228	40	8	real	real	ADJ
cana-5228	40	9	analysis	analysis	NOUN
cana-5228	40	10	course	course	NOUN
cana-5228	40	11	.	.	PUNCT
cana-5228	41	1	some	some	DET
cana-5228	41	2	research	research	NOUN
cana-5228	41	3	results	result	NOUN
cana-5228	41	4	found	find	VERB
cana-5228	41	5	difficulties	difficulty	NOUN
cana-5228	41	6	for	for	ADP
cana-5228	41	7	students	student	NOUN
cana-5228	41	8	in	in	ADP
cana-5228	41	9	learning	learn	VERB
cana-5228	41	10	proof	proof	NOUN
cana-5228	41	11	,	,	PUNCT
cana-5228	41	12	namely	namely	ADV
cana-5228	41	13	difficulty	difficulty	NOUN
cana-5228	41	14	understanding	understand	VERB
cana-5228	41	15	concepts	concept	NOUN
cana-5228	41	16	(	(	PUNCT
cana-5228	41	17	definitions	definition	NOUN
cana-5228	41	18	)	)	PUNCT
cana-5228	41	19	,	,	PUNCT
cana-5228	41	20	not	not	PART
cana-5228	41	21	knowing	know	VERB
cana-5228	41	22	how	how	SCONJ
cana-5228	41	23	to	to	PART
cana-5228	41	24	start	start	VERB
cana-5228	41	25	proof	proof	ADJ
cana-5228	41	26	construction	construction	NOUN
cana-5228	41	27	,	,	PUNCT
cana-5228	41	28	not	not	PART
cana-5228	41	29	knowing	know	VERB
cana-5228	41	30	the	the	DET
cana-5228	41	31	use	use	NOUN
cana-5228	41	32	of	of	ADP
cana-5228	41	33	definitions	definition	NOUN
cana-5228	41	34	and	and	CCONJ
cana-5228	41	35	known	know	VERB
cana-5228	41	36	principles	principle	NOUN
cana-5228	41	37	,	,	PUNCT
cana-5228	41	38	and	and	CCONJ
cana-5228	41	39	not	not	PART
cana-5228	41	40	knowing	know	VERB
cana-5228	41	41	what	what	PRON
cana-5228	41	42	to	to	PART
cana-5228	41	43	prove	prove	VERB
cana-5228	41	44	[	[	X
cana-5228	41	45	18	18	NUM
cana-5228	41	46	]	]	PUNCT
cana-5228	41	47	,	,	PUNCT
cana-5228	41	48	[	[	X
cana-5228	41	49	19	19	NUM
cana-5228	41	50	]	]	PUNCT
cana-5228	41	51	.	.	PUNCT
cana-5228	42	1	students	student	NOUN
cana-5228	42	2	can	can	AUX
cana-5228	42	3	not	not	PART
cana-5228	42	4	understand	understand	VERB
cana-5228	42	5	the	the	DET
cana-5228	42	6	role	role	NOUN
cana-5228	42	7	and	and	CCONJ
cana-5228	42	8	function	function	NOUN
cana-5228	42	9	of	of	ADP
cana-5228	42	10	evidence	evidence	NOUN
cana-5228	42	11	in	in	ADP
cana-5228	42	12	mathematics	mathematic	NOUN
cana-5228	42	13	for	for	ADP
cana-5228	42	14	the	the	DET
cana-5228	42	15	short	short	ADJ
cana-5228	42	16	and	and	CCONJ
cana-5228	42	17	long	long	ADJ
cana-5228	42	18	term	term	NOUN
cana-5228	42	19	.	.	PUNCT
cana-5228	43	1	the	the	DET
cana-5228	43	2	role	role	NOUN
cana-5228	43	3	of	of	ADP
cana-5228	43	4	evidence	evidence	NOUN
cana-5228	43	5	,	,	PUNCT
cana-5228	43	6	in	in	ADP
cana-5228	43	7	general	general	ADJ
cana-5228	43	8	,	,	PUNCT
cana-5228	43	9	is	be	AUX
cana-5228	43	10	to	to	PART
cana-5228	43	11	verify	verify	VERB
cana-5228	43	12	the	the	DET
cana-5228	43	13	truth	truth	NOUN
cana-5228	43	14	of	of	ADP
cana-5228	43	15	statements	statement	NOUN
cana-5228	43	16	,	,	PUNCT
cana-5228	43	17	provide	provide	VERB
cana-5228	43	18	logical	logical	ADJ
cana-5228	43	19	arguments	argument	NOUN
cana-5228	43	20	,	,	PUNCT
cana-5228	43	21	construct	construct	VERB
cana-5228	43	22	new	new	ADJ
cana-5228	43	23	mathematics	mathematic	NOUN
cana-5228	43	24	,	,	PUNCT
cana-5228	43	25	communicate	communicate	VERB
cana-5228	43	26	mathematics	mathematic	NOUN
cana-5228	43	27	,	,	PUNCT
cana-5228	43	28	and	and	CCONJ
cana-5228	43	29	find	find	VERB
cana-5228	43	30	the	the	DET
cana-5228	43	31	systemization	systemization	NOUN
cana-5228	43	32	of	of	ADP
cana-5228	43	33	statements	statement	NOUN
cana-5228	43	34	in	in	ADP
cana-5228	43	35	axiomatic	axiomatic	ADJ
cana-5228	43	36	systems	system	NOUN
cana-5228	43	37	[	[	X
cana-5228	43	38	20	20	NUM
cana-5228	43	39	]	]	PUNCT
cana-5228	43	40	,	,	PUNCT
cana-5228	43	41	[	[	X
cana-5228	43	42	21	21	NUM
cana-5228	43	43	]	]	PUNCT
cana-5228	43	44	,	,	PUNCT
cana-5228	43	45	[	[	X
cana-5228	43	46	22	22	NUM
cana-5228	43	47	]	]	PUNCT
cana-5228	43	48	.	.	PUNCT
cana-5228	44	1	evidence	evidence	NOUN
cana-5228	44	2	is	be	AUX
cana-5228	44	3	very	very	ADV
cana-5228	44	4	important	important	ADJ
cana-5228	44	5	to	to	PART
cana-5228	44	6	apply	apply	VERB
cana-5228	44	7	to	to	ADP
cana-5228	44	8	mathematics	mathematic	NOUN
cana-5228	44	9	education	education	NOUN
cana-5228	44	10	students	student	NOUN
cana-5228	44	11	because	because	SCONJ
cana-5228	44	12	it	it	PRON
cana-5228	44	13	can	can	AUX
cana-5228	44	14	improve	improve	VERB
cana-5228	44	15	problem	problem	NOUN
cana-5228	44	16	-	-	PUNCT
cana-5228	44	17	solving	solve	VERB
cana-5228	44	18	skills	skill	NOUN
cana-5228	44	19	and	and	CCONJ
cana-5228	44	20	develop	develop	VERB
cana-5228	44	21	critical	critical	ADJ
cana-5228	44	22	thinking	thinking	NOUN
cana-5228	45	1	[	[	X
cana-5228	45	2	23	23	NUM
cana-5228	45	3	]	]	PUNCT
cana-5228	45	4	.	.	PUNCT
cana-5228	46	1	evidence	evidence	NOUN
cana-5228	46	2	plays	play	VERB
cana-5228	46	3	a	a	DET
cana-5228	46	4	very	very	ADV
cana-5228	46	5	important	important	ADJ
cana-5228	46	6	role	role	NOUN
cana-5228	46	7	as	as	ADP
cana-5228	46	8	a	a	DET
cana-5228	46	9	fundamental	fundamental	ADJ
cana-5228	46	10	aspect	aspect	NOUN
cana-5228	46	11	in	in	ADP
cana-5228	46	12	establishing	establish	VERB
cana-5228	46	13	the	the	DET
cana-5228	46	14	truth	truth	NOUN
cana-5228	46	15	of	of	ADP
cana-5228	46	16	mathematical	mathematical	ADJ
cana-5228	46	17	statements	statement	NOUN
cana-5228	46	18	.	.	PUNCT
cana-5228	47	1	likewise	likewise	ADV
cana-5228	47	2	,	,	PUNCT
cana-5228	47	3	others	other	NOUN
cana-5228	47	4	will	will	AUX
cana-5228	47	5	justify	justify	VERB
cana-5228	47	6	their	their	PRON
cana-5228	47	7	ideas	idea	NOUN
cana-5228	47	8	,	,	PUNCT
cana-5228	47	9	and	and	CCONJ
cana-5228	47	10	the	the	DET
cana-5228	47	11	development	development	NOUN
cana-5228	47	12	and	and	CCONJ
cana-5228	47	13	communication	communication	NOUN
cana-5228	47	14	of	of	ADP
cana-5228	47	15	knowledge	knowledge	NOUN
cana-5228	47	16	greatly	greatly	ADV
cana-5228	47	17	contribute	contribute	VERB
cana-5228	47	18	[	[	X
cana-5228	47	19	24	24	NUM
cana-5228	47	20	]	]	PUNCT
cana-5228	47	21	.	.	PUNCT
cana-5228	48	1	these	these	DET
cana-5228	48	2	student	student	NOUN
cana-5228	48	3	activities	activity	NOUN
cana-5228	48	4	are	be	AUX
cana-5228	48	5	a	a	DET
cana-5228	48	6	need	need	NOUN
cana-5228	48	7	for	for	SCONJ
cana-5228	48	8	a	a	DET
cana-5228	48	9	model	model	NOUN
cana-5228	48	10	to	to	PART
cana-5228	48	11	help	help	VERB
cana-5228	48	12	students	student	NOUN
cana-5228	48	13	control	control	VERB
cana-5228	48	14	their	their	PRON
cana-5228	48	15	thoughts	thought	NOUN
cana-5228	48	16	.	.	PUNCT
cana-5228	49	1	learning	learn	VERB
cana-5228	49	2	models	model	NOUN
cana-5228	49	3	that	that	PRON
cana-5228	49	4	have	have	VERB
cana-5228	49	5	characteristics	characteristic	NOUN
cana-5228	49	6	that	that	PRON
cana-5228	49	7	foster	foster	ADJ
cana-5228	49	8	students	student	NOUN
cana-5228	49	9	to	to	PART
cana-5228	49	10	explore	explore	VERB
cana-5228	49	11	their	their	PRON
cana-5228	49	12	ideas	idea	NOUN
cana-5228	49	13	include	include	VERB
cana-5228	49	14	guided	guide	VERB
cana-5228	49	15	discovery	discovery	NOUN
cana-5228	49	16	learning	learning	NOUN
cana-5228	49	17	.	.	PUNCT
cana-5228	50	1	students	student	NOUN
cana-5228	50	2	make	make	VERB
cana-5228	50	3	discoveries	discovery	NOUN
cana-5228	50	4	and	and	CCONJ
cana-5228	50	5	lecturers	lecturer	NOUN
cana-5228	50	6	play	play	VERB
cana-5228	50	7	a	a	DET
cana-5228	50	8	role	role	NOUN
cana-5228	50	9	in	in	ADP
cana-5228	50	10	guiding	guiding	NOUN
cana-5228	50	11	by	by	ADP
cana-5228	50	12	analyzing	analyze	VERB
cana-5228	50	13	difficulties	difficulty	NOUN
cana-5228	50	14	in	in	ADP
cana-5228	50	15	solving	solve	VERB
cana-5228	50	16	problems	problem	NOUN
cana-5228	50	17	faced	face	VERB
cana-5228	50	18	by	by	ADP
cana-5228	50	19	students	student	NOUN
cana-5228	50	20	.	.	PUNCT
cana-5228	51	1	the	the	DET
cana-5228	51	2	role	role	NOUN
cana-5228	51	3	of	of	ADP
cana-5228	51	4	the	the	DET
cana-5228	51	5	lecturer	lecturer	NOUN
cana-5228	51	6	in	in	ADP
cana-5228	51	7	this	this	DET
cana-5228	51	8	model	model	NOUN
cana-5228	51	9	is	be	AUX
cana-5228	51	10	as	as	ADP
cana-5228	51	11	a	a	DET
cana-5228	51	12	facilitator	facilitator	NOUN
cana-5228	51	13	to	to	PART
cana-5228	51	14	direct	direct	VERB
cana-5228	51	15	students	student	NOUN
cana-5228	51	16	in	in	ADP
cana-5228	51	17	developing	develop	VERB
cana-5228	51	18	their	their	PRON
cana-5228	51	19	ideas	idea	NOUN
cana-5228	51	20	to	to	PART
cana-5228	51	21	formulate	formulate	VERB
cana-5228	51	22	answers	answer	NOUN
cana-5228	51	23	to	to	PART
cana-5228	51	24	conclude	conclude	VERB
cana-5228	51	25	the	the	DET
cana-5228	51	26	mathematical	mathematical	ADJ
cana-5228	51	27	concepts	concept	NOUN
cana-5228	51	28	being	be	AUX
cana-5228	51	29	studied	study	VERB
cana-5228	51	30	[	[	PUNCT
cana-5228	51	31	25	25	NUM
cana-5228	51	32	]	]	PUNCT
cana-5228	51	33	,	,	PUNCT
cana-5228	51	34	[	[	X
cana-5228	51	35	26	26	NUM
cana-5228	51	36	]	]	PUNCT
cana-5228	51	37	.	.	PUNCT
cana-5228	52	1	the	the	DET
cana-5228	52	2	main	main	ADJ
cana-5228	52	3	properties	property	NOUN
cana-5228	52	4	of	of	ADP
cana-5228	52	5	guided	guide	VERB
cana-5228	52	6	discovery	discovery	NOUN
cana-5228	52	7	learning	learning	NOUN
cana-5228	52	8	are	be	AUX
cana-5228	52	9	:	:	PUNCT
cana-5228	52	10	(	(	PUNCT
cana-5228	52	11	1	1	X
cana-5228	52	12	)	)	PUNCT
cana-5228	52	13	exploring	explore	VERB
cana-5228	52	14	and	and	CCONJ
cana-5228	52	15	solving	solve	VERB
cana-5228	52	16	problems	problem	NOUN
cana-5228	52	17	to	to	PART
cana-5228	52	18	create	create	VERB
cana-5228	52	19	,	,	PUNCT
cana-5228	52	20	integrate	integrate	VERB
cana-5228	52	21	,	,	PUNCT
cana-5228	52	22	and	and	CCONJ
cana-5228	52	23	generalize	generalize	VERB
cana-5228	52	24	knowledge	knowledge	NOUN
cana-5228	52	25	.	.	PUNCT
cana-5228	53	1	(	(	PUNCT
cana-5228	53	2	2	2	X
cana-5228	53	3	)	)	PUNCT
cana-5228	53	4	students	student	NOUN
cana-5228	53	5	determine	determine	VERB
cana-5228	53	6	the	the	DET
cana-5228	53	7	stages	stage	NOUN
cana-5228	53	8	and	and	CCONJ
cana-5228	53	9	frequency	frequency	NOUN
cana-5228	53	10	of	of	ADP
cana-5228	53	11	interest	interest	NOUN
cana-5228	53	12	in	in	ADP
cana-5228	53	13	activities	activity	NOUN
cana-5228	53	14	,	,	PUNCT
cana-5228	53	15	and	and	CCONJ
cana-5228	53	16	(	(	PUNCT
cana-5228	53	17	3	3	X
cana-5228	53	18	)	)	PUNCT
cana-5228	53	19	student	student	NOUN
cana-5228	53	20	activities	activity	NOUN
cana-5228	53	21	that	that	PRON
cana-5228	53	22	encourage	encourage	VERB
cana-5228	53	23	the	the	DET
cana-5228	53	24	integration	integration	NOUN
cana-5228	53	25	of	of	ADP
cana-5228	53	26	new	new	ADJ
cana-5228	53	27	knowledge	knowledge	NOUN
cana-5228	53	28	[	[	X
cana-5228	53	29	27	27	NUM
cana-5228	53	30	]	]	PUNCT
cana-5228	53	31	,	,	PUNCT
cana-5228	53	32	[	[	X
cana-5228	53	33	28	28	NUM
cana-5228	53	34	]	]	PUNCT
cana-5228	53	35	.	.	PUNCT
cana-5228	54	1	one	one	NUM
cana-5228	54	2	strategy	strategy	NOUN
cana-5228	54	3	to	to	PART
cana-5228	54	4	help	help	VERB
cana-5228	54	5	students	student	NOUN
cana-5228	54	6	control	control	VERB
cana-5228	54	7	their	their	PRON
cana-5228	54	8	minds	mind	NOUN
cana-5228	54	9	in	in	ADP
cana-5228	54	10	proof	proof	ADJ
cana-5228	54	11	activities	activity	NOUN
cana-5228	54	12	is	be	AUX
cana-5228	54	13	the	the	DET
cana-5228	54	14	mathematical	mathematical	ADJ
cana-5228	54	15	working	working	NOUN
cana-5228	54	16	space	space	NOUN
cana-5228	54	17	(	(	PUNCT
cana-5228	54	18	mws	mws	NOUN
cana-5228	54	19	)	)	PUNCT
cana-5228	54	20	strategy	strategy	NOUN
cana-5228	54	21	.	.	PUNCT
cana-5228	55	1	mathematical	mathematical	ADJ
cana-5228	55	2	working	working	NOUN
cana-5228	55	3	space	space	NOUN
cana-5228	55	4	can	can	AUX
cana-5228	55	5	be	be	AUX
cana-5228	55	6	used	use	VERB
cana-5228	55	7	to	to	PART
cana-5228	55	8	analyze	analyze	VERB
cana-5228	55	9	and	and	CCONJ
cana-5228	55	10	improve	improve	VERB
cana-5228	55	11	the	the	DET
cana-5228	55	12	mathematics	mathematic	NOUN
cana-5228	55	13	learning	learning	NOUN
cana-5228	55	14	process	process	NOUN
cana-5228	55	15	,	,	PUNCT
cana-5228	55	16	including	include	VERB
cana-5228	55	17	in	in	ADP
cana-5228	55	18	the	the	DET
cana-5228	55	19	development	development	NOUN
cana-5228	55	20	of	of	ADP
cana-5228	55	21	proof	proof	NOUN
cana-5228	55	22	skills	skill	NOUN
cana-5228	55	23	.	.	PUNCT
cana-5228	56	1	mws	mws	NOUN
cana-5228	56	2	provides	provide	VERB
cana-5228	56	3	a	a	DET
cana-5228	56	4	framework	framework	NOUN
cana-5228	56	5	that	that	PRON
cana-5228	56	6	integrates	integrate	VERB
cana-5228	56	7	cognitive	cognitive	ADJ
cana-5228	56	8	,	,	PUNCT
cana-5228	56	9	instrumental	instrumental	ADJ
cana-5228	56	10	,	,	PUNCT
cana-5228	56	11	and	and	CCONJ
cana-5228	56	12	social	social	ADJ
cana-5228	56	13	aspects	aspect	NOUN
cana-5228	56	14	in	in	ADP
cana-5228	56	15	students	student	NOUN
cana-5228	56	16	'	'	PART
cana-5228	56	17	mathematical	mathematical	ADJ
cana-5228	56	18	activities	activity	NOUN
cana-5228	56	19	[	[	X
cana-5228	56	20	29	29	NUM
cana-5228	56	21	]	]	PUNCT
cana-5228	56	22	,	,	PUNCT
cana-5228	56	23	[	[	X
cana-5228	56	24	30	30	NUM
cana-5228	56	25	]	]	PUNCT
cana-5228	56	26	by	by	ADP
cana-5228	56	27	implementing	implement	VERB
cana-5228	56	28	the	the	DET
cana-5228	56	29	mws	mws	NOUN
cana-5228	56	30	strategy	strategy	NOUN
cana-5228	56	31	,	,	PUNCT
cana-5228	56	32	students	student	NOUN
cana-5228	56	33	can	can	AUX
cana-5228	56	34	develop	develop	VERB
cana-5228	56	35	a	a	DET
cana-5228	56	36	better	well	ADJ
cana-5228	56	37	understanding	understanding	NOUN
cana-5228	56	38	of	of	ADP
cana-5228	56	39	reality	reality	NOUN
cana-5228	56	40	and	and	CCONJ
cana-5228	56	41	build	build	VERB
cana-5228	56	42	arguments	argument	NOUN
cana-5228	56	43	and	and	CCONJ
cana-5228	56	44	evidence	evidence	NOUN
cana-5228	56	45	systematically	systematically	ADV
cana-5228	56	46	[	[	X
cana-5228	56	47	29	29	NUM
cana-5228	56	48	]	]	PUNCT
cana-5228	56	49	,	,	PUNCT
cana-5228	56	50	[	[	X
cana-5228	56	51	31	31	NUM
cana-5228	56	52	]	]	PUNCT
cana-5228	56	53	,	,	PUNCT
cana-5228	56	54	[	[	X
cana-5228	56	55	32	32	NUM
cana-5228	56	56	]	]	X
cana-5228	56	57	mathematical	mathematical	ADJ
cana-5228	56	58	working	working	NOUN
cana-5228	56	59	space	space	NOUN
cana-5228	56	60	is	be	AUX
cana-5228	56	61	a	a	DET
cana-5228	56	62	strategy	strategy	NOUN
cana-5228	56	63	that	that	PRON
cana-5228	56	64	includes	include	VERB
cana-5228	56	65	semiotic	semiotic	ADJ
cana-5228	56	66	,	,	PUNCT
cana-5228	56	67	instrumental	instrumental	ADJ
cana-5228	56	68	,	,	PUNCT
cana-5228	56	69	and	and	CCONJ
cana-5228	56	70	discursive	discursive	ADJ
cana-5228	56	71	genesis	genesis	NOUN
cana-5228	56	72	.	.	PUNCT
cana-5228	57	1	semiotic	semiotic	ADJ
cana-5228	57	2	genesis	genesis	NOUN
cana-5228	57	3	is	be	AUX
cana-5228	57	4	the	the	DET
cana-5228	57	5	linking	linking	NOUN
cana-5228	57	6	of	of	ADP
cana-5228	57	7	activities	activity	NOUN
cana-5228	57	8	that	that	PRON
cana-5228	57	9	are	be	AUX
cana-5228	57	10	representations	representation	NOUN
cana-5228	57	11	to	to	ADP
cana-5228	57	12	obtaining	obtain	VERB
cana-5228	57	13	visualizations	visualization	NOUN
cana-5228	57	14	of	of	ADP
cana-5228	57	15	mathematical	mathematical	ADJ
cana-5228	57	16	problems	problem	NOUN
cana-5228	57	17	.	.	PUNCT
cana-5228	58	1	instrumental	instrumental	ADJ
cana-5228	58	2	genesis	genesis	NOUN
cana-5228	58	3	is	be	AUX
cana-5228	58	4	the	the	DET
cana-5228	58	5	phase	phase	NOUN
cana-5228	58	6	in	in	ADP
cana-5228	58	7	which	which	PRON
cana-5228	58	8	the	the	DET
cana-5228	58	9	knowledge	knowledge	NOUN
cana-5228	58	10	gained	gain	VERB
cana-5228	58	11	can	can	AUX
cana-5228	58	12	be	be	AUX
cana-5228	58	13	communications	communication	NOUN
cana-5228	58	14	on	on	ADP
cana-5228	58	15	applied	apply	VERB
cana-5228	58	16	nonlinear	nonlinear	ADJ
cana-5228	58	17	analysis	analysis	NOUN
cana-5228	58	18	issn	issn	NOUN
cana-5228	58	19	:	:	PUNCT
cana-5228	58	20	1074	1074	NUM
cana-5228	58	21	-	-	PUNCT
cana-5228	58	22	133x	133x	NUM
cana-5228	58	23	vol	vol	NOUN
cana-5228	58	24	x	x	NOUN
cana-5228	58	25	no	no	INTJ
cana-5228	58	26	.	.	PUNCT
cana-5228	59	1	y	y	NOUN
cana-5228	59	2	(	(	PUNCT
cana-5228	59	3	20	20	NUM
cana-5228	59	4	-	-	PUNCT
cana-5228	59	5	-	-	PUNCT
cana-5228	59	6	)	)	PUNCT
cana-5228	59	7	1239	1239	NUM
cana-5228	59	8	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-5228	59	9	used	use	VERB
cana-5228	59	10	in	in	ADP
cana-5228	59	11	the	the	DET
cana-5228	59	12	process	process	NOUN
cana-5228	59	13	of	of	ADP
cana-5228	59	14	constructing	construct	VERB
cana-5228	59	15	evidence	evidence	NOUN
cana-5228	59	16	.	.	PUNCT
cana-5228	60	1	next	next	ADJ
cana-5228	60	2	is	be	AUX
cana-5228	60	3	discursive	discursive	ADJ
cana-5228	60	4	genesis	genesis	NOUN
cana-5228	60	5	,	,	PUNCT
cana-5228	60	6	which	which	PRON
cana-5228	60	7	is	be	AUX
cana-5228	60	8	the	the	DET
cana-5228	60	9	phase	phase	NOUN
cana-5228	60	10	to	to	PART
cana-5228	60	11	validate	validate	VERB
cana-5228	60	12	evidence	evidence	NOUN
cana-5228	60	13	.	.	PUNCT
cana-5228	61	1	[	[	X
cana-5228	61	2	33	33	NUM
cana-5228	61	3	]	]	PUNCT
cana-5228	61	4	,	,	PUNCT
cana-5228	61	5	[	[	X
cana-5228	61	6	34	34	NUM
cana-5228	61	7	]	]	PUNCT
cana-5228	61	8	,	,	PUNCT
cana-5228	61	9	[	[	X
cana-5228	61	10	35	35	NUM
cana-5228	61	11	]	]	PUNCT
cana-5228	61	12	.	.	PUNCT
cana-5228	62	1	some	some	DET
cana-5228	62	2	mathematical	mathematical	ADJ
cana-5228	62	3	research	research	NOUN
cana-5228	62	4	related	relate	VERB
cana-5228	62	5	to	to	ADP
cana-5228	62	6	proof	proof	NOUN
cana-5228	62	7	and	and	CCONJ
cana-5228	62	8	proof	proof	NOUN
cana-5228	62	9	learning	learn	VERB
cana-5228	62	10	using	use	VERB
cana-5228	62	11	the	the	DET
cana-5228	62	12	mathematical	mathematical	ADJ
cana-5228	62	13	working	working	NOUN
cana-5228	62	14	space	space	NOUN
cana-5228	62	15	strategy	strategy	NOUN
cana-5228	62	16	has	have	AUX
cana-5228	62	17	succeeded	succeed	VERB
cana-5228	62	18	well	well	ADV
cana-5228	62	19	,	,	PUNCT
cana-5228	62	20	namely	namely	ADV
cana-5228	62	21	research	research	NOUN
cana-5228	62	22	from	from	ADP
cana-5228	62	23	[	[	X
cana-5228	62	24	36	36	NUM
cana-5228	62	25	]	]	PUNCT
cana-5228	62	26	,	,	PUNCT
cana-5228	62	27	[	[	X
cana-5228	62	28	37	37	NUM
cana-5228	62	29	]	]	PUNCT
cana-5228	62	30	,	,	PUNCT
cana-5228	62	31	[	[	X
cana-5228	62	32	38	38	NUM
cana-5228	62	33	]	]	PUNCT
cana-5228	62	34	.	.	PUNCT
cana-5228	63	1	supporting	support	VERB
cana-5228	63	2	learning	learn	VERB
cana-5228	63	3	facilities	facility	NOUN
cana-5228	63	4	in	in	ADP
cana-5228	63	5	this	this	DET
cana-5228	63	6	study	study	NOUN
cana-5228	63	7	are	be	AUX
cana-5228	63	8	the	the	DET
cana-5228	63	9	existence	existence	NOUN
cana-5228	63	10	of	of	ADP
cana-5228	63	11	discussion	discussion	NOUN
cana-5228	63	12	material	material	NOUN
cana-5228	63	13	worksheets	worksheet	NOUN
cana-5228	63	14	.	.	PUNCT
cana-5228	64	1	this	this	DET
cana-5228	64	2	facility	facility	NOUN
cana-5228	64	3	was	be	AUX
cana-5228	64	4	created	create	VERB
cana-5228	64	5	with	with	ADP
cana-5228	64	6	the	the	DET
cana-5228	64	7	mathematical	mathematical	ADJ
cana-5228	64	8	working	working	NOUN
cana-5228	64	9	space	space	NOUN
cana-5228	64	10	strategy	strategy	NOUN
cana-5228	64	11	.	.	PUNCT
cana-5228	65	1	the	the	DET
cana-5228	65	2	content	content	NOUN
cana-5228	65	3	of	of	ADP
cana-5228	65	4	this	this	DET
cana-5228	65	5	discussion	discussion	NOUN
cana-5228	65	6	material	material	NOUN
cana-5228	65	7	worksheet	worksheet	NOUN
cana-5228	65	8	contains	contain	VERB
cana-5228	65	9	semiotic	semiotic	ADJ
cana-5228	65	10	,	,	PUNCT
cana-5228	65	11	instrumental	instrumental	ADJ
cana-5228	65	12	,	,	PUNCT
cana-5228	65	13	and	and	CCONJ
cana-5228	65	14	discursive	discursive	ADJ
cana-5228	65	15	genesis	genesis	NOUN
cana-5228	65	16	.	.	PUNCT
cana-5228	66	1	student	student	NOUN
cana-5228	66	2	learning	learning	NOUN
cana-5228	66	3	using	use	VERB
cana-5228	66	4	the	the	DET
cana-5228	66	5	guided	guide	VERB
cana-5228	66	6	discovery	discovery	NOUN
cana-5228	66	7	learning	learning	NOUN
cana-5228	66	8	model	model	NOUN
cana-5228	66	9	is	be	AUX
cana-5228	66	10	then	then	ADV
cana-5228	66	11	also	also	ADV
cana-5228	66	12	facilitated	facilitate	VERB
cana-5228	66	13	by	by	ADP
cana-5228	66	14	student	student	NOUN
cana-5228	66	15	discussion	discussion	NOUN
cana-5228	66	16	material	material	NOUN
cana-5228	66	17	worksheets	worksheet	NOUN
cana-5228	66	18	containing	contain	VERB
cana-5228	66	19	sequence	sequence	NOUN
cana-5228	66	20	(	(	PUNCT
cana-5228	66	21	bartle	bartle	PROPN
cana-5228	66	22	r.g	r.g	PROPN
cana-5228	66	23	.	.	PROPN
cana-5228	66	24	,	,	PUNCT
cana-5228	66	25	2000	2000	NUM
cana-5228	66	26	)	)	PUNCT
cana-5228	66	27	.	.	PUNCT
cana-5228	67	1	this	this	DET
cana-5228	67	2	material	material	NOUN
cana-5228	67	3	contains	contain	VERB
cana-5228	67	4	the	the	DET
cana-5228	67	5	concepts	concept	NOUN
cana-5228	67	6	of	of	ADP
cana-5228	67	7	sequences	sequence	NOUN
cana-5228	67	8	and	and	CCONJ
cana-5228	67	9	their	their	PRON
cana-5228	67	10	limits	limit	NOUN
cana-5228	67	11	,	,	PUNCT
cana-5228	67	12	limit	limit	NOUN
cana-5228	67	13	theorems	theorem	NOUN
cana-5228	67	14	,	,	PUNCT
cana-5228	67	15	monotone	monotone	ADJ
cana-5228	67	16	sequences	sequence	NOUN
cana-5228	67	17	,	,	PUNCT
cana-5228	67	18	subsequence	subsequence	PROPN
cana-5228	67	19	bolzano	bolzano	PROPN
cana-5228	67	20	weierstrass	weierstrass	PROPN
cana-5228	67	21	's	's	PART
cana-5228	67	22	theorem	theorem	NOUN
cana-5228	67	23	,	,	PUNCT
cana-5228	67	24	and	and	CCONJ
cana-5228	67	25	the	the	DET
cana-5228	67	26	cauchy	cauchy	ADJ
cana-5228	67	27	criterion	criterion	NOUN
cana-5228	67	28	.	.	PUNCT
cana-5228	68	1	each	each	DET
cana-5228	68	2	definition	definition	NOUN
cana-5228	68	3	,	,	PUNCT
cana-5228	68	4	theorem	theorem	ADJ
cana-5228	68	5	,	,	PUNCT
cana-5228	68	6	lemma	lemma	PROPN
cana-5228	68	7	,	,	PUNCT
cana-5228	68	8	or	or	CCONJ
cana-5228	68	9	proof	proof	ADJ
cana-5228	68	10	problem	problem	NOUN
cana-5228	68	11	in	in	ADP
cana-5228	68	12	the	the	DET
cana-5228	68	13	discussion	discussion	NOUN
cana-5228	68	14	material	material	NOUN
cana-5228	68	15	worksheets	worksheet	NOUN
cana-5228	68	16	contains	contain	VERB
cana-5228	68	17	semiotic	semiotic	ADJ
cana-5228	68	18	,	,	PUNCT
cana-5228	68	19	instrumental	instrumental	ADJ
cana-5228	68	20	,	,	PUNCT
cana-5228	68	21	and	and	CCONJ
cana-5228	68	22	discursive	discursive	ADJ
cana-5228	68	23	genesis	genesis	NOUN
cana-5228	68	24	.	.	PUNCT
cana-5228	69	1	the	the	DET
cana-5228	69	2	discussion	discussion	NOUN
cana-5228	69	3	material	material	NOUN
cana-5228	69	4	worksheets	worksheet	NOUN
cana-5228	69	5	were	be	AUX
cana-5228	69	6	created	create	VERB
cana-5228	69	7	to	to	PART
cana-5228	69	8	make	make	VERB
cana-5228	69	9	it	it	PRON
cana-5228	69	10	easier	easy	ADJ
cana-5228	69	11	for	for	SCONJ
cana-5228	69	12	students	student	NOUN
cana-5228	69	13	to	to	PART
cana-5228	69	14	learn	learn	VERB
cana-5228	69	15	real	real	ADJ
cana-5228	69	16	analysis	analysis	NOUN
cana-5228	69	17	.	.	PUNCT
cana-5228	70	1	referring	refer	VERB
cana-5228	70	2	to	to	ADP
cana-5228	70	3	the	the	DET
cana-5228	70	4	reasons	reason	NOUN
cana-5228	70	5	above	above	ADV
cana-5228	70	6	,	,	PUNCT
cana-5228	70	7	to	to	PART
cana-5228	70	8	optimize	optimize	VERB
cana-5228	70	9	to	to	PART
cana-5228	70	10	develop	develop	VERB
cana-5228	70	11	proof	proof	ADJ
cana-5228	70	12	skills	skill	NOUN
cana-5228	70	13	in	in	ADP
cana-5228	70	14	real	real	ADJ
cana-5228	70	15	analysis	analysis	NOUN
cana-5228	70	16	lectures	lecture	NOUN
cana-5228	70	17	.	.	PUNCT
cana-5228	71	1	so	so	ADV
cana-5228	71	2	to	to	PART
cana-5228	71	3	find	find	VERB
cana-5228	71	4	out	out	ADP
cana-5228	71	5	the	the	DET
cana-5228	71	6	condition	condition	NOUN
cana-5228	71	7	of	of	ADP
cana-5228	71	8	students	student	NOUN
cana-5228	71	9	in	in	ADP
cana-5228	71	10	the	the	DET
cana-5228	71	11	problem	problem	NOUN
cana-5228	71	12	of	of	ADP
cana-5228	71	13	proof	proof	NOUN
cana-5228	71	14	,	,	PUNCT
cana-5228	71	15	a	a	DET
cana-5228	71	16	pilot	pilot	NOUN
cana-5228	71	17	study	study	NOUN
cana-5228	71	18	is	be	AUX
cana-5228	71	19	carried	carry	VERB
cana-5228	71	20	out	out	ADP
cana-5228	71	21	and	and	CCONJ
cana-5228	71	22	also	also	ADV
cana-5228	71	23	involves	involve	VERB
cana-5228	71	24	interviewing	interview	VERB
cana-5228	71	25	students	student	NOUN
cana-5228	71	26	to	to	PART
cana-5228	71	27	evaluate	evaluate	VERB
cana-5228	71	28	their	their	PRON
cana-5228	71	29	understanding	understanding	NOUN
cana-5228	71	30	.	.	PUNCT
cana-5228	72	1	trends	trend	NOUN
cana-5228	72	2	in	in	ADP
cana-5228	72	3	mathematics	mathematic	NOUN
cana-5228	72	4	education	education	NOUN
cana-5228	72	5	that	that	PRON
cana-5228	72	6	focus	focus	VERB
cana-5228	72	7	on	on	ADP
cana-5228	72	8	success	success	NOUN
cana-5228	72	9	and	and	CCONJ
cana-5228	72	10	effectiveness	effectiveness	NOUN
cana-5228	72	11	in	in	ADP
cana-5228	72	12	learning	learn	VERB
cana-5228	72	13	.	.	PUNCT
cana-5228	73	1	furthermore	furthermore	ADV
cana-5228	73	2	,	,	PUNCT
cana-5228	73	3	to	to	PART
cana-5228	73	4	measure	measure	VERB
cana-5228	73	5	the	the	DET
cana-5228	73	6	extent	extent	NOUN
cana-5228	73	7	of	of	ADP
cana-5228	73	8	the	the	DET
cana-5228	73	9	success	success	NOUN
cana-5228	73	10	of	of	ADP
cana-5228	73	11	the	the	DET
cana-5228	73	12	learning	learning	NOUN
cana-5228	73	13	,	,	PUNCT
cana-5228	73	14	interviews	interview	NOUN
cana-5228	73	15	were	be	AUX
cana-5228	73	16	also	also	ADV
cana-5228	73	17	conducted	conduct	VERB
cana-5228	73	18	.	.	PUNCT
cana-5228	74	1	the	the	DET
cana-5228	74	2	results	result	NOUN
cana-5228	74	3	of	of	ADP
cana-5228	74	4	the	the	DET
cana-5228	74	5	pilot	pilot	NOUN
cana-5228	74	6	study	study	NOUN
cana-5228	74	7	also	also	ADV
cana-5228	74	8	contribute	contribute	VERB
cana-5228	74	9	to	to	ADP
cana-5228	74	10	the	the	DET
cana-5228	74	11	development	development	NOUN
cana-5228	74	12	of	of	ADP
cana-5228	74	13	effective	effective	ADJ
cana-5228	74	14	teaching	teaching	NOUN
cana-5228	74	15	practices	practice	NOUN
cana-5228	74	16	,	,	PUNCT
cana-5228	74	17	then	then	ADV
cana-5228	74	18	used	use	VERB
cana-5228	74	19	to	to	PART
cana-5228	74	20	assess	assess	VERB
cana-5228	74	21	the	the	DET
cana-5228	74	22	application	application	NOUN
cana-5228	74	23	of	of	ADP
cana-5228	74	24	learning	learn	VERB
cana-5228	74	25	practices	practice	NOUN
cana-5228	74	26	in	in	ADP
cana-5228	74	27	the	the	DET
cana-5228	74	28	classroom	classroom	NOUN
cana-5228	74	29	environment	environment	NOUN
cana-5228	74	30	based	base	VERB
cana-5228	74	31	on	on	ADP
cana-5228	74	32	the	the	DET
cana-5228	74	33	principles	principle	NOUN
cana-5228	74	34	of	of	ADP
cana-5228	74	35	constructivism	constructivism	NOUN
cana-5228	74	36	.	.	PUNCT
cana-5228	75	1	1.1	1.1	NUM
cana-5228	75	2	research	research	NOUN
cana-5228	75	3	questions	question	NOUN
cana-5228	75	4	this	this	DET
cana-5228	75	5	study	study	NOUN
cana-5228	75	6	seeks	seek	VERB
cana-5228	75	7	to	to	PART
cana-5228	75	8	answer	answer	VERB
cana-5228	75	9	the	the	DET
cana-5228	75	10	following	follow	VERB
cana-5228	75	11	two	two	NUM
cana-5228	75	12	questions	question	NOUN
cana-5228	75	13	:	:	PUNCT
cana-5228	75	14	(	(	PUNCT
cana-5228	75	15	1	1	X
cana-5228	75	16	)	)	PUNCT
cana-5228	75	17	with	with	ADP
cana-5228	75	18	a	a	DET
cana-5228	75	19	definition	definition	NOUN
cana-5228	75	20	level	level	NOUN
cana-5228	75	21	of	of	ADP
cana-5228	75	22	0.05	0.05	NUM
cana-5228	75	23	in	in	ADP
cana-5228	75	24	statistics	statistic	NOUN
cana-5228	75	25	,	,	PUNCT
cana-5228	75	26	learning	learn	VERB
cana-5228	75	27	can	can	AUX
cana-5228	75	28	be	be	AUX
cana-5228	75	29	said	say	VERB
cana-5228	75	30	to	to	PART
cana-5228	75	31	be	be	AUX
cana-5228	75	32	successful	successful	ADJ
cana-5228	75	33	satisfactorily	satisfactorily	ADV
cana-5228	75	34	and	and	CCONJ
cana-5228	75	35	more	more	ADV
cana-5228	75	36	effectively	effectively	ADV
cana-5228	75	37	,	,	PUNCT
cana-5228	75	38	and	and	CCONJ
cana-5228	75	39	(	(	PUNCT
cana-5228	75	40	2	2	X
cana-5228	75	41	)	)	PUNCT
cana-5228	75	42	the	the	DET
cana-5228	75	43	extent	extent	NOUN
cana-5228	75	44	of	of	ADP
cana-5228	75	45	students	student	NOUN
cana-5228	75	46	'	'	PART
cana-5228	75	47	success	success	NOUN
cana-5228	75	48	in	in	ADP
cana-5228	75	49	mastering	master	VERB
cana-5228	75	50	the	the	DET
cana-5228	75	51	problem	problem	NOUN
cana-5228	75	52	of	of	ADP
cana-5228	75	53	proof	proof	NOUN
cana-5228	75	54	.	.	PUNCT
cana-5228	76	1	1.2	1.2	NUM
cana-5228	76	2	study	study	NOUN
cana-5228	76	3	contribution	contribution	NOUN
cana-5228	76	4	some	some	PRON
cana-5228	76	5	of	of	ADP
cana-5228	76	6	the	the	DET
cana-5228	76	7	significant	significant	ADJ
cana-5228	76	8	contributions	contribution	NOUN
cana-5228	76	9	of	of	ADP
cana-5228	76	10	this	this	DET
cana-5228	76	11	research	research	NOUN
cana-5228	76	12	both	both	CCONJ
cana-5228	76	13	theoretical	theoretical	ADJ
cana-5228	76	14	and	and	CCONJ
cana-5228	76	15	practical	practical	ADJ
cana-5228	76	16	are	be	AUX
cana-5228	76	17	as	as	SCONJ
cana-5228	76	18	follows	follow	VERB
cana-5228	76	19	:	:	PUNCT
cana-5228	76	20	(	(	PUNCT
cana-5228	76	21	1	1	X
cana-5228	76	22	)	)	PUNCT
cana-5228	76	23	providing	provide	VERB
cana-5228	76	24	effective	effective	ADJ
cana-5228	76	25	learning	learning	NOUN
cana-5228	76	26	practices	practice	NOUN
cana-5228	76	27	,	,	PUNCT
cana-5228	76	28	(	(	PUNCT
cana-5228	76	29	2	2	X
cana-5228	76	30	)	)	PUNCT
cana-5228	76	31	developing	develop	VERB
cana-5228	76	32	mathematics	mathematic	NOUN
cana-5228	76	33	evaluation	evaluation	NOUN
cana-5228	76	34	materials	material	NOUN
cana-5228	76	35	as	as	ADP
cana-5228	76	36	lecturers	lecturer	NOUN
cana-5228	76	37	'	'	PART
cana-5228	76	38	performance	performance	NOUN
cana-5228	76	39	in	in	ADP
cana-5228	76	40	teaching	teaching	NOUN
cana-5228	76	41	and	and	CCONJ
cana-5228	76	42	learning	learn	VERB
cana-5228	76	43	in	in	ADP
cana-5228	76	44	proof	proof	ADJ
cana-5228	76	45	problems	problem	NOUN
cana-5228	76	46	,	,	PUNCT
cana-5228	76	47	(	(	PUNCT
cana-5228	76	48	3	3	X
cana-5228	76	49	)	)	PUNCT
cana-5228	76	50	making	make	VERB
cana-5228	76	51	it	it	PRON
cana-5228	76	52	easier	easy	ADJ
cana-5228	76	53	for	for	SCONJ
cana-5228	76	54	students	student	NOUN
cana-5228	76	55	to	to	PART
cana-5228	76	56	learn	learn	VERB
cana-5228	76	57	mathematical	mathematical	ADJ
cana-5228	76	58	proof	proof	NOUN
cana-5228	76	59	problems	problem	NOUN
cana-5228	76	60	.	.	PUNCT
cana-5228	77	1	1.3	1.3	NUM
cana-5228	77	2	scope	scope	NOUN
cana-5228	77	3	of	of	ADP
cana-5228	77	4	study	study	VERB
cana-5228	77	5	the	the	DET
cana-5228	77	6	formation	formation	NOUN
cana-5228	77	7	of	of	ADP
cana-5228	77	8	effective	effective	ADJ
cana-5228	77	9	learning	learning	NOUN
cana-5228	77	10	in	in	ADP
cana-5228	77	11	the	the	DET
cana-5228	77	12	learning	learning	NOUN
cana-5228	77	13	of	of	ADP
cana-5228	77	14	real	real	ADJ
cana-5228	77	15	analysis	analysis	NOUN
cana-5228	77	16	in	in	ADP
cana-5228	77	17	sequences	sequence	NOUN
cana-5228	77	18	material	material	NOUN
cana-5228	77	19	in	in	ADP
cana-5228	77	20	the	the	DET
cana-5228	77	21	mathematics	mathematic	NOUN
cana-5228	77	22	education	education	NOUN
cana-5228	77	23	study	study	NOUN
cana-5228	77	24	program	program	NOUN
cana-5228	77	25	of	of	ADP
cana-5228	77	26	private	private	ADJ
cana-5228	77	27	universities	university	NOUN
cana-5228	77	28	in	in	ADP
cana-5228	77	29	the	the	DET
cana-5228	77	30	city	city	NOUN
cana-5228	77	31	of	of	ADP
cana-5228	77	32	tegal	tegal	NOUN
cana-5228	77	33	for	for	ADP
cana-5228	77	34	the	the	DET
cana-5228	77	35	2022/2023	2022/2023	NUM
cana-5228	77	36	academic	academic	ADJ
cana-5228	77	37	year	year	NOUN
cana-5228	77	38	.	.	PUNCT
cana-5228	78	1	2	2	X
cana-5228	78	2	.	.	X
cana-5228	78	3	research	research	NOUN
cana-5228	78	4	method	method	NOUN
cana-5228	78	5	2.1research	2.1research	NUM
cana-5228	78	6	design	design	NOUN
cana-5228	78	7	this	this	DET
cana-5228	78	8	study	study	NOUN
cana-5228	78	9	uses	use	VERB
cana-5228	78	10	a	a	DET
cana-5228	78	11	sequential	sequential	ADJ
cana-5228	78	12	research	research	NOUN
cana-5228	78	13	design	design	NOUN
cana-5228	78	14	,	,	PUNCT
cana-5228	78	15	quantitative	quantitative	ADJ
cana-5228	78	16	data	datum	NOUN
cana-5228	78	17	by	by	ADP
cana-5228	78	18	qualitative	qualitative	ADJ
cana-5228	78	19	data	datum	NOUN
cana-5228	78	20	(	(	PUNCT
cana-5228	78	21	creswell	creswell	PROPN
cana-5228	78	22	&	&	CCONJ
cana-5228	78	23	creswell	creswell	PROPN
cana-5228	78	24	,	,	PUNCT
cana-5228	78	25	2017	2017	NUM
cana-5228	78	26	)	)	PUNCT
cana-5228	78	27	.	.	PUNCT
cana-5228	79	1	quantitative	quantitative	ADJ
cana-5228	79	2	research	research	NOUN
cana-5228	79	3	was	be	AUX
cana-5228	79	4	applied	apply	VERB
cana-5228	79	5	to	to	ADP
cana-5228	79	6	a	a	DET
cana-5228	79	7	quasi	quasi	NOUN
cana-5228	79	8	-	-	ADJ
cana-5228	79	9	experimental	experimental	ADJ
cana-5228	79	10	with	with	ADP
cana-5228	79	11	a	a	DET
cana-5228	79	12	single	single	ADJ
cana-5228	79	13	sample	sample	NOUN
cana-5228	79	14	:	:	PUNCT
cana-5228	79	15	davison	davison	PROPN
cana-5228	79	16	&	&	CCONJ
cana-5228	79	17	smith	smith	PROPN
cana-5228	79	18	,	,	PUNCT
cana-5228	79	19	2018	2018	NUM
cana-5228	79	20	o	o	NOUN
cana-5228	80	1	x1	x1	NOUN
cana-5228	80	2	o	o	X
cana-5228	80	3	x2	x2	INTJ
cana-5228	80	4	where	where	SCONJ
cana-5228	80	5	o	o	NOUN
cana-5228	80	6	is	be	AUX
cana-5228	80	7	the	the	DET
cana-5228	80	8	treatment	treatment	NOUN
cana-5228	80	9	,	,	PUNCT
cana-5228	80	10	x1	x1	PROPN
cana-5228	80	11	is	be	AUX
cana-5228	80	12	the	the	DET
cana-5228	80	13	first	first	ADJ
cana-5228	80	14	test	test	NOUN
cana-5228	81	1	and	and	CCONJ
cana-5228	81	2	x2	x2	PRON
cana-5228	81	3	is	be	AUX
cana-5228	81	4	the	the	DET
cana-5228	81	5	second	second	ADJ
cana-5228	81	6	test	test	NOUN
cana-5228	81	7	.	.	PUNCT
cana-5228	82	1	this	this	DET
cana-5228	82	2	research	research	NOUN
cana-5228	82	3	begins	begin	VERB
cana-5228	82	4	with	with	ADP
cana-5228	82	5	an	an	DET
cana-5228	82	6	initial	initial	ADJ
cana-5228	82	7	evidentiary	evidentiary	NOUN
cana-5228	82	8	ability	ability	NOUN
cana-5228	82	9	test	test	NOUN
cana-5228	82	10	for	for	ADP
cana-5228	82	11	each	each	DET
cana-5228	82	12	student	student	NOUN
cana-5228	82	13	.	.	PUNCT
cana-5228	83	1	then	then	ADV
cana-5228	83	2	real	real	ADJ
cana-5228	83	3	analysis	analysis	NOUN
cana-5228	83	4	learning	learning	NOUN
cana-5228	83	5	was	be	AUX
cana-5228	83	6	carried	carry	VERB
cana-5228	83	7	out	out	ADP
cana-5228	83	8	for	for	ADP
cana-5228	83	9	seven	seven	NUM
cana-5228	83	10	meetings	meeting	NOUN
cana-5228	83	11	where	where	SCONJ
cana-5228	83	12	each	each	DET
cana-5228	83	13	student	student	NOUN
cana-5228	83	14	meeting	meeting	NOUN
cana-5228	83	15	was	be	AUX
cana-5228	83	16	given	give	VERB
cana-5228	83	17	assignments	assignment	NOUN
cana-5228	83	18	in	in	ADP
cana-5228	83	19	communications	communication	NOUN
cana-5228	83	20	on	on	ADP
cana-5228	83	21	applied	apply	VERB
cana-5228	83	22	nonlinear	nonlinear	ADJ
cana-5228	83	23	analysis	analysis	NOUN
cana-5228	83	24	issn	issn	NOUN
cana-5228	83	25	:	:	PUNCT
cana-5228	83	26	1074	1074	NUM
cana-5228	83	27	-	-	PUNCT
cana-5228	83	28	133x	133x	NUM
cana-5228	83	29	vol	vol	NOUN
cana-5228	83	30	x	x	NOUN
cana-5228	83	31	no	no	INTJ
cana-5228	83	32	.	.	PUNCT
cana-5228	84	1	y	y	NOUN
cana-5228	84	2	(	(	PUNCT
cana-5228	84	3	20	20	NUM
cana-5228	84	4	-	-	PUNCT
cana-5228	84	5	-	-	PUNCT
cana-5228	84	6	)	)	PUNCT
cana-5228	84	7	1240	1240	NUM
cana-5228	84	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	84	9	groups	group	NOUN
cana-5228	84	10	.	.	PUNCT
cana-5228	85	1	after	after	ADP
cana-5228	85	2	seven	seven	NUM
cana-5228	85	3	meetings	meeting	NOUN
cana-5228	85	4	of	of	ADP
cana-5228	85	5	teaching	teaching	NOUN
cana-5228	85	6	and	and	CCONJ
cana-5228	85	7	learning	learn	VERB
cana-5228	85	8	activities	activity	NOUN
cana-5228	85	9	,	,	PUNCT
cana-5228	85	10	a	a	DET
cana-5228	85	11	test	test	NOUN
cana-5228	85	12	was	be	AUX
cana-5228	85	13	carried	carry	VERB
cana-5228	85	14	out	out	ADP
cana-5228	85	15	to	to	PART
cana-5228	85	16	see	see	VERB
cana-5228	85	17	the	the	DET
cana-5228	85	18	achievement	achievement	NOUN
cana-5228	85	19	of	of	ADP
cana-5228	85	20	students	student	NOUN
cana-5228	85	21	'	'	PART
cana-5228	85	22	mathematical	mathematical	ADJ
cana-5228	85	23	proof	proof	NOUN
cana-5228	85	24	skills	skill	NOUN
cana-5228	85	25	.	.	PUNCT
cana-5228	86	1	methodologically	methodologically	ADV
cana-5228	86	2	qualitatively	qualitatively	ADV
cana-5228	86	3	used	use	VERB
cana-5228	86	4	using	use	VERB
cana-5228	86	5	a	a	DET
cana-5228	86	6	case	case	NOUN
cana-5228	86	7	study	study	NOUN
cana-5228	86	8	approach	approach	NOUN
cana-5228	86	9	.	.	PUNCT
cana-5228	87	1	of	of	ADP
cana-5228	87	2	the	the	DET
cana-5228	87	3	three	three	NUM
cana-5228	87	4	prospective	prospective	ADJ
cana-5228	87	5	mathematics	mathematic	NOUN
cana-5228	87	6	teachers	teacher	NOUN
cana-5228	87	7	who	who	PRON
cana-5228	87	8	completed	complete	VERB
cana-5228	87	9	the	the	DET
cana-5228	87	10	test	test	NOUN
cana-5228	87	11	,	,	PUNCT
cana-5228	87	12	it	it	PRON
cana-5228	87	13	can	can	AUX
cana-5228	87	14	be	be	AUX
cana-5228	87	15	an	an	DET
cana-5228	87	16	indication	indication	NOUN
cana-5228	87	17	of	of	ADP
cana-5228	87	18	another	another	DET
cana-5228	87	19	response	response	NOUN
cana-5228	87	20	with	with	ADP
cana-5228	87	21	a	a	DET
cana-5228	87	22	similar	similar	ADJ
cana-5228	87	23	process	process	NOUN
cana-5228	87	24	.	.	PUNCT
cana-5228	88	1	semi	semi	ADJ
cana-5228	88	2	-	-	ADJ
cana-5228	88	3	structured	structured	ADJ
cana-5228	88	4	interviews	interview	NOUN
cana-5228	88	5	with	with	ADP
cana-5228	88	6	student	student	NOUN
cana-5228	88	7	responses	response	NOUN
cana-5228	88	8	.	.	PUNCT
cana-5228	89	1	and	and	CCONJ
cana-5228	89	2	identify	identify	VERB
cana-5228	89	3	the	the	DET
cana-5228	89	4	student	student	NOUN
cana-5228	89	5	proofing	proofing	NOUN
cana-5228	89	6	process	process	NOUN
cana-5228	89	7	where	where	SCONJ
cana-5228	89	8	the	the	DET
cana-5228	89	9	discussion	discussion	NOUN
cana-5228	89	10	material	material	NOUN
cana-5228	89	11	worksheet	worksheet	NOUN
cana-5228	89	12	is	be	AUX
cana-5228	89	13	implemented	implement	VERB
cana-5228	89	14	to	to	PART
cana-5228	89	15	help	help	VERB
cana-5228	89	16	with	with	ADP
cana-5228	89	17	their	their	PRON
cana-5228	89	18	mathematical	mathematical	ADJ
cana-5228	89	19	proof	proof	NOUN
cana-5228	89	20	.	.	PUNCT
cana-5228	90	1	2.2	2.2	NUM
cana-5228	90	2	participants	participant	NOUN
cana-5228	90	3	participants	participant	NOUN
cana-5228	90	4	were	be	AUX
cana-5228	90	5	students	student	NOUN
cana-5228	90	6	who	who	PRON
cana-5228	90	7	took	take	VERB
cana-5228	90	8	the	the	DET
cana-5228	90	9	real	real	ADJ
cana-5228	90	10	analysis	analysis	NOUN
cana-5228	90	11	program	program	NOUN
cana-5228	90	12	at	at	ADP
cana-5228	90	13	private	private	ADJ
cana-5228	90	14	universities	university	NOUN
cana-5228	90	15	in	in	ADP
cana-5228	90	16	the	the	DET
cana-5228	90	17	northern	northern	ADJ
cana-5228	90	18	coastal	coastal	ADJ
cana-5228	90	19	region	region	NOUN
cana-5228	90	20	of	of	ADP
cana-5228	90	21	western	western	ADJ
cana-5228	90	22	central	central	PROPN
cana-5228	90	23	java	java	PROPN
cana-5228	90	24	indonesia	indonesia	PROPN
cana-5228	90	25	.	.	PUNCT
cana-5228	91	1	precisely	precisely	ADV
cana-5228	91	2	in	in	ADP
cana-5228	91	3	tegal	tegal	ADJ
cana-5228	91	4	city	city	NOUN
cana-5228	91	5	and	and	CCONJ
cana-5228	91	6	brebes	brebe	NOUN
cana-5228	91	7	regency	regency	PROPN
cana-5228	91	8	in	in	ADP
cana-5228	91	9	the	the	DET
cana-5228	91	10	2022/2023	2022/2023	NUM
cana-5228	91	11	academic	academic	ADJ
cana-5228	91	12	year	year	NOUN
cana-5228	91	13	.	.	PUNCT
cana-5228	92	1	participants	participant	NOUN
cana-5228	92	2	from	from	ADP
cana-5228	92	3	tegal	tegal	ADJ
cana-5228	92	4	city	city	NOUN
cana-5228	92	5	were	be	AUX
cana-5228	92	6	32	32	NUM
cana-5228	92	7	people	people	NOUN
cana-5228	92	8	and	and	CCONJ
cana-5228	92	9	brebes	brebe	NOUN
cana-5228	92	10	regency	regency	PROPN
cana-5228	92	11	was	be	AUX
cana-5228	92	12	30	30	NUM
cana-5228	92	13	people	people	NOUN
cana-5228	92	14	.	.	PUNCT
cana-5228	93	1	with	with	ADP
cana-5228	93	2	a	a	DET
cana-5228	93	3	purposive	purposive	ADJ
cana-5228	93	4	sampling	sampling	NOUN
cana-5228	93	5	of	of	ADP
cana-5228	93	6	engineering	engineering	NOUN
cana-5228	93	7	students	student	NOUN
cana-5228	93	8	from	from	ADP
cana-5228	93	9	the	the	DET
cana-5228	93	10	city	city	NOUN
cana-5228	93	11	of	of	ADP
cana-5228	93	12	tegal	tegal	NOUN
cana-5228	93	13	as	as	ADP
cana-5228	93	14	an	an	DET
cana-5228	93	15	experiment	experiment	NOUN
cana-5228	93	16	class	class	NOUN
cana-5228	93	17	.	.	PUNCT
cana-5228	94	1	in	in	ADP
cana-5228	94	2	the	the	DET
cana-5228	94	3	real	real	ADJ
cana-5228	94	4	analysis	analysis	NOUN
cana-5228	94	5	learning	learn	VERB
cana-5228	94	6	experiment	experiment	NOUN
cana-5228	94	7	class	class	NOUN
cana-5228	94	8	,	,	PUNCT
cana-5228	94	9	the	the	DET
cana-5228	94	10	guided	guide	VERB
cana-5228	94	11	discovery	discovery	NOUN
cana-5228	94	12	learning	learning	NOUN
cana-5228	94	13	model	model	NOUN
cana-5228	94	14	was	be	AUX
cana-5228	94	15	used	use	VERB
cana-5228	94	16	with	with	ADP
cana-5228	94	17	the	the	DET
cana-5228	94	18	help	help	NOUN
cana-5228	94	19	of	of	ADP
cana-5228	94	20	worksheets	worksheet	NOUN
cana-5228	94	21	,	,	PUNCT
cana-5228	94	22	discussion	discussion	NOUN
cana-5228	94	23	materials	material	NOUN
cana-5228	94	24	with	with	ADP
cana-5228	94	25	mathematical	mathematical	ADJ
cana-5228	94	26	working	working	NOUN
cana-5228	94	27	space	space	NOUN
cana-5228	94	28	strategies	strategy	NOUN
cana-5228	94	29	.	.	PUNCT
cana-5228	95	1	meanwhile	meanwhile	ADV
cana-5228	95	2	,	,	PUNCT
cana-5228	95	3	students	student	NOUN
cana-5228	95	4	from	from	ADP
cana-5228	95	5	brebes	brebe	NOUN
cana-5228	95	6	district	district	NOUN
cana-5228	95	7	as	as	ADP
cana-5228	95	8	a	a	DET
cana-5228	95	9	control	control	NOUN
cana-5228	95	10	class	class	NOUN
cana-5228	95	11	using	use	VERB
cana-5228	95	12	conventional	conventional	ADJ
cana-5228	95	13	learning	learning	NOUN
cana-5228	95	14	.	.	PUNCT
cana-5228	96	1	the	the	DET
cana-5228	96	2	two	two	NUM
cana-5228	96	3	classes	class	NOUN
cana-5228	96	4	during	during	ADP
cana-5228	96	5	the	the	DET
cana-5228	96	6	research	research	NOUN
cana-5228	96	7	on	on	ADP
cana-5228	96	8	learning	learn	VERB
cana-5228	96	9	real	real	ADJ
cana-5228	96	10	analysis	analysis	NOUN
cana-5228	96	11	in	in	ADP
cana-5228	96	12	the	the	DET
cana-5228	96	13	same	same	ADJ
cana-5228	96	14	material	material	NOUN
cana-5228	96	15	,	,	PUNCT
cana-5228	96	16	namely	namely	ADV
cana-5228	96	17	sequence	sequence	NOUN
cana-5228	96	18	,	,	PUNCT
cana-5228	96	19	for	for	ADP
cana-5228	96	20	seven	seven	NUM
cana-5228	96	21	meetings	meeting	NOUN
cana-5228	96	22	.	.	PUNCT
cana-5228	97	1	the	the	DET
cana-5228	97	2	sub	sub	NOUN
cana-5228	97	3	-	-	NOUN
cana-5228	97	4	materials	material	NOUN
cana-5228	97	5	that	that	PRON
cana-5228	97	6	will	will	AUX
cana-5228	97	7	be	be	AUX
cana-5228	97	8	studied	study	VERB
cana-5228	97	9	include	include	VERB
cana-5228	97	10	sequences	sequence	NOUN
cana-5228	97	11	and	and	CCONJ
cana-5228	97	12	their	their	PRON
cana-5228	97	13	limits	limit	NOUN
cana-5228	97	14	,	,	PUNCT
cana-5228	97	15	limit	limit	NOUN
cana-5228	97	16	theorems	theorem	NOUN
cana-5228	97	17	,	,	PUNCT
cana-5228	97	18	monotone	monotone	ADJ
cana-5228	97	19	sequences	sequence	NOUN
cana-5228	97	20	,	,	PUNCT
cana-5228	97	21	subsequences	subsequence	NOUN
cana-5228	97	22	of	of	ADP
cana-5228	97	23	bolzano	bolzano	PROPN
cana-5228	97	24	weierstrass	weierstrass	PROPN
cana-5228	97	25	's	's	PART
cana-5228	97	26	theorem	theorem	NOUN
cana-5228	97	27	,	,	PUNCT
cana-5228	97	28	and	and	CCONJ
cana-5228	97	29	the	the	DET
cana-5228	97	30	cauchy	cauchy	ADJ
cana-5228	97	31	criterion	criterion	NOUN
cana-5228	97	32	.	.	PUNCT
cana-5228	98	1	2.3	2.3	NUM
cana-5228	98	2	instruments	instrument	NOUN
cana-5228	98	3	the	the	DET
cana-5228	98	4	test	test	NOUN
cana-5228	98	5	is	be	AUX
cana-5228	98	6	a	a	DET
cana-5228	98	7	quantitative	quantitative	ADJ
cana-5228	98	8	instrument	instrument	NOUN
cana-5228	98	9	used	use	VERB
cana-5228	98	10	in	in	ADP
cana-5228	98	11	this	this	DET
cana-5228	98	12	study	study	NOUN
cana-5228	98	13	,	,	PUNCT
cana-5228	98	14	while	while	SCONJ
cana-5228	98	15	the	the	DET
cana-5228	98	16	interview	interview	NOUN
cana-5228	98	17	is	be	AUX
cana-5228	98	18	a	a	DET
cana-5228	98	19	qualitative	qualitative	ADJ
cana-5228	98	20	instrument	instrument	NOUN
cana-5228	98	21	.	.	PUNCT
cana-5228	99	1	the	the	DET
cana-5228	99	2	initial	initial	ADJ
cana-5228	99	3	evidentiary	evidentiary	ADJ
cana-5228	99	4	ability	ability	NOUN
cana-5228	99	5	test	test	NOUN
cana-5228	99	6	is	be	AUX
cana-5228	99	7	carried	carry	VERB
cana-5228	99	8	out	out	ADP
cana-5228	99	9	before	before	ADP
cana-5228	99	10	learning	learn	VERB
cana-5228	99	11	.	.	PUNCT
cana-5228	100	1	furthermore	furthermore	ADV
cana-5228	100	2	,	,	PUNCT
cana-5228	100	3	learning	learning	NOUN
cana-5228	100	4	was	be	AUX
cana-5228	100	5	carried	carry	VERB
cana-5228	100	6	out	out	ADP
cana-5228	100	7	for	for	ADP
cana-5228	100	8	seven	seven	NUM
cana-5228	100	9	meetings	meeting	NOUN
cana-5228	100	10	with	with	ADP
cana-5228	100	11	discussion	discussion	NOUN
cana-5228	100	12	worksheets	worksheet	NOUN
cana-5228	100	13	in	in	ADP
cana-5228	100	14	the	the	DET
cana-5228	100	15	eighth	eighth	ADJ
cana-5228	100	16	meeting	meeting	NOUN
cana-5228	100	17	given	give	VERB
cana-5228	100	18	a	a	DET
cana-5228	100	19	final	final	ADJ
cana-5228	100	20	test	test	NOUN
cana-5228	100	21	.	.	PUNCT
cana-5228	101	1	the	the	DET
cana-5228	101	2	evidentiary	evidentiary	ADJ
cana-5228	101	3	ability	ability	NOUN
cana-5228	101	4	and	and	CCONJ
cana-5228	101	5	aspects	aspect	NOUN
cana-5228	101	6	measured	measure	VERB
cana-5228	101	7	are	be	AUX
cana-5228	101	8	included	include	VERB
cana-5228	101	9	in	in	ADP
cana-5228	101	10	the	the	DET
cana-5228	101	11	following	follow	VERB
cana-5228	101	12	table	table	NOUN
cana-5228	101	13	1	1	NUM
cana-5228	101	14	:	:	PUNCT
cana-5228	101	15	table	table	NOUN
cana-5228	101	16	1	1	NUM
cana-5228	101	17	proof	proof	NOUN
cana-5228	101	18	ability	ability	NOUN
cana-5228	101	19	and	and	CCONJ
cana-5228	101	20	measured	measure	VERB
cana-5228	101	21	aspects	aspect	NOUN
cana-5228	101	22	dimension	dimension	NOUN
cana-5228	101	23	aspects	aspect	NOUN
cana-5228	101	24	measured	measure	VERB
cana-5228	101	25	reading	read	VERB
cana-5228	101	26	the	the	DET
cana-5228	101	27	evidence	evidence	NOUN
cana-5228	101	28	ability	ability	NOUN
cana-5228	101	29	to	to	PART
cana-5228	101	30	apply	apply	VERB
cana-5228	101	31	the	the	DET
cana-5228	101	32	stages	stage	NOUN
cana-5228	101	33	of	of	ADP
cana-5228	101	34	proof	proof	NOUN
cana-5228	101	35	of	of	ADP
cana-5228	101	36	a	a	DET
cana-5228	101	37	statement	statement	NOUN
cana-5228	101	38	to	to	ADP
cana-5228	101	39	other	other	ADJ
cana-5228	101	40	similar	similar	ADJ
cana-5228	101	41	statements	statement	NOUN
cana-5228	101	42	the	the	DET
cana-5228	101	43	ability	ability	NOUN
cana-5228	101	44	to	to	PART
cana-5228	101	45	use	use	VERB
cana-5228	101	46	definitions	definition	NOUN
cana-5228	101	47	as	as	ADP
cana-5228	101	48	a	a	DET
cana-5228	101	49	basis	basis	NOUN
cana-5228	101	50	in	in	ADP
cana-5228	101	51	giving	give	VERB
cana-5228	101	52	reasons	reason	NOUN
cana-5228	101	53	for	for	ADP
cana-5228	101	54	the	the	DET
cana-5228	101	55	correct	correct	ADJ
cana-5228	101	56	proof	proof	NOUN
cana-5228	101	57	step	step	NOUN
cana-5228	101	58	or	or	CCONJ
cana-5228	101	59	the	the	DET
cana-5228	101	60	improvement	improvement	NOUN
cana-5228	101	61	of	of	ADP
cana-5228	101	62	symbols	symbol	NOUN
cana-5228	101	63	,	,	PUNCT
cana-5228	101	64	narratives	narrative	NOUN
cana-5228	101	65	,	,	PUNCT
cana-5228	101	66	and	and	CCONJ
cana-5228	101	67	premises	premise	NOUN
cana-5228	101	68	,	,	PUNCT
cana-5228	101	69	at	at	ADP
cana-5228	101	70	inappropriate	inappropriate	ADJ
cana-5228	101	71	stages	stage	NOUN
cana-5228	101	72	/	/	SYM
cana-5228	101	73	steps	step	NOUN
cana-5228	101	74	of	of	ADP
cana-5228	101	75	proof	proof	NOUN
cana-5228	101	76	comparing	compare	VERB
cana-5228	101	77	two	two	NUM
cana-5228	101	78	definitions	definition	NOUN
cana-5228	101	79	,	,	PUNCT
cana-5228	101	80	then	then	ADV
cana-5228	101	81	choosing	choose	VERB
cana-5228	101	82	one	one	NUM
cana-5228	101	83	to	to	PART
cana-5228	101	84	use	use	VERB
cana-5228	101	85	in	in	ADP
cana-5228	101	86	proving	prove	VERB
cana-5228	101	87	a	a	DET
cana-5228	101	88	statement	statement	NOUN
cana-5228	101	89	the	the	DET
cana-5228	101	90	ability	ability	NOUN
cana-5228	101	91	to	to	PART
cana-5228	101	92	examine	examine	VERB
cana-5228	101	93	a	a	DET
cana-5228	101	94	mathematical	mathematical	ADJ
cana-5228	101	95	statement	statement	NOUN
cana-5228	101	96	to	to	PART
cana-5228	101	97	determine	determine	VERB
cana-5228	101	98	the	the	DET
cana-5228	101	99	truth	truth	NOUN
cana-5228	101	100	or	or	CCONJ
cana-5228	101	101	to	to	PART
cana-5228	101	102	show	show	VERB
cana-5228	101	103	the	the	DET
cana-5228	101	104	error	error	NOUN
cana-5228	101	105	of	of	ADP
cana-5228	101	106	the	the	DET
cana-5228	101	107	statement	statement	NOUN
cana-5228	101	108	using	use	VERB
cana-5228	101	109	examples	example	NOUN
cana-5228	101	110	of	of	ADP
cana-5228	101	111	denial	denial	NOUN
cana-5228	101	112	making	make	VERB
cana-5228	101	113	a	a	DET
cana-5228	101	114	hypothesis	hypothesis	NOUN
cana-5228	101	115	(	(	PUNCT
cana-5228	101	116	conjecture	conjecture	NOUN
cana-5228	101	117	)	)	PUNCT
cana-5228	101	118	based	base	VERB
cana-5228	101	119	on	on	ADP
cana-5228	101	120	the	the	DET
cana-5228	101	121	pattern	pattern	NOUN
cana-5228	101	122	and	and	CCONJ
cana-5228	101	123	properties	property	NOUN
cana-5228	101	124	of	of	ADP
cana-5228	101	125	several	several	ADJ
cana-5228	101	126	statements	statement	NOUN
cana-5228	101	127	and	and	CCONJ
cana-5228	101	128	proving	prove	VERB
cana-5228	101	129	the	the	DET
cana-5228	101	130	conjecture	conjecture	NOUN
cana-5228	101	131	obtained	obtain	VERB
cana-5228	101	132	by	by	ADP
cana-5228	101	133	deduction	deduction	NOUN
cana-5228	101	134	constructing	construct	VERB
cana-5228	101	135	the	the	DET
cana-5228	101	136	evidence	evidence	NOUN
cana-5228	101	137	1	1	NUM
cana-5228	101	138	.	.	PUNCT
cana-5228	102	1	the	the	DET
cana-5228	102	2	ability	ability	NOUN
cana-5228	102	3	to	to	PART
cana-5228	102	4	organize	organize	VERB
cana-5228	102	5	and	and	CCONJ
cana-5228	102	6	manipulate	manipulate	VERB
cana-5228	102	7	facts	fact	NOUN
cana-5228	102	8	,	,	PUNCT
cana-5228	102	9	as	as	ADV
cana-5228	102	10	well	well	ADV
cana-5228	102	11	as	as	ADP
cana-5228	102	12	order	order	VERB
cana-5228	102	13	the	the	DET
cana-5228	102	14	steps	step	NOUN
cana-5228	102	15	of	of	ADP
cana-5228	102	16	the	the	DET
cana-5228	102	17	evidence	evidence	NOUN
cana-5228	102	18	provided	provide	VERB
cana-5228	102	19	to	to	PART
cana-5228	102	20	obtain	obtain	VERB
cana-5228	102	21	a	a	DET
cana-5228	102	22	valid	valid	ADJ
cana-5228	102	23	item	item	NOUN
cana-5228	102	24	construction	construction	NOUN
cana-5228	102	25	.	.	PUNCT
cana-5228	103	1	2	2	X
cana-5228	103	2	.	.	X
cana-5228	103	3	the	the	DET
cana-5228	103	4	ability	ability	NOUN
cana-5228	103	5	to	to	PART
cana-5228	103	6	make	make	VERB
cana-5228	103	7	connections	connection	NOUN
cana-5228	103	8	between	between	ADP
cana-5228	103	9	the	the	DET
cana-5228	103	10	facts	fact	NOUN
cana-5228	103	11	known	know	VERB
cana-5228	103	12	in	in	ADP
cana-5228	103	13	the	the	DET
cana-5228	103	14	statement	statement	NOUN
cana-5228	103	15	and	and	CCONJ
cana-5228	103	16	the	the	DET
cana-5228	103	17	elements	element	NOUN
cana-5228	103	18	to	to	PART
cana-5228	103	19	be	be	AUX
cana-5228	103	20	proven	prove	VERB
cana-5228	103	21	.	.	PUNCT
cana-5228	104	1	3	3	X
cana-5228	104	2	.	.	X
cana-5228	104	3	ability	ability	NOUN
cana-5228	104	4	to	to	PART
cana-5228	104	5	use	use	VERB
cana-5228	104	6	premises	premise	NOUN
cana-5228	104	7	,	,	PUNCT
cana-5228	104	8	definitions	definition	NOUN
cana-5228	104	9	,	,	PUNCT
cana-5228	104	10	or	or	CCONJ
cana-5228	104	11	theorems	theorem	NOUN
cana-5228	104	12	related	relate	VERB
cana-5228	104	13	to	to	ADP
cana-5228	104	14	a	a	DET
cana-5228	104	15	statement	statement	NOUN
cana-5228	104	16	to	to	PART
cana-5228	104	17	build	build	VERB
cana-5228	104	18	proof	proof	NOUN
cana-5228	104	19	.	.	PUNCT
cana-5228	105	1	as	as	ADP
cana-5228	105	2	for	for	ADP
cana-5228	105	3	qualitative	qualitative	ADJ
cana-5228	105	4	data	datum	NOUN
cana-5228	105	5	collection	collection	NOUN
cana-5228	105	6	,	,	PUNCT
cana-5228	105	7	the	the	DET
cana-5228	105	8	data	data	NOUN
cana-5228	105	9	collection	collection	NOUN
cana-5228	105	10	is	be	AUX
cana-5228	105	11	carried	carry	VERB
cana-5228	105	12	out	out	ADP
cana-5228	105	13	by	by	ADP
cana-5228	105	14	the	the	DET
cana-5228	105	15	researcher	researcher	NOUN
cana-5228	105	16	himself	himself	PRON
cana-5228	105	17	.	.	PUNCT
cana-5228	106	1	at	at	ADP
cana-5228	106	2	the	the	DET
cana-5228	106	3	same	same	ADJ
cana-5228	106	4	time	time	NOUN
cana-5228	106	5	,	,	PUNCT
cana-5228	106	6	the	the	DET
cana-5228	106	7	data	data	NOUN
cana-5228	106	8	source	source	NOUN
cana-5228	106	9	is	be	AUX
cana-5228	106	10	experimental	experimental	ADJ
cana-5228	106	11	class	class	NOUN
cana-5228	106	12	students	student	NOUN
cana-5228	106	13	who	who	PRON
cana-5228	106	14	are	be	AUX
cana-5228	106	15	chosen	choose	VERB
cana-5228	106	16	appropriately	appropriately	ADV
cana-5228	106	17	for	for	ADP
cana-5228	106	18	the	the	DET
cana-5228	106	19	collection	collection	NOUN
cana-5228	106	20	and	and	CCONJ
cana-5228	106	21	analysis	analysis	NOUN
cana-5228	106	22	of	of	ADP
cana-5228	106	23	qualitative	qualitative	ADJ
cana-5228	106	24	data	datum	NOUN
cana-5228	106	25	,	,	PUNCT
cana-5228	106	26	which	which	PRON
cana-5228	106	27	is	be	AUX
cana-5228	106	28	then	then	ADV
cana-5228	106	29	concluded	conclude	VERB
cana-5228	106	30	qualitatively	qualitatively	ADV
cana-5228	106	31	.	.	PUNCT
cana-5228	107	1	things	thing	NOUN
cana-5228	107	2	that	that	PRON
cana-5228	107	3	are	be	AUX
cana-5228	107	4	concluded	conclude	VERB
cana-5228	107	5	qualitatively	qualitatively	ADV
cana-5228	107	6	include	include	VERB
cana-5228	107	7	the	the	DET
cana-5228	107	8	achievement	achievement	NOUN
cana-5228	107	9	of	of	ADP
cana-5228	107	10	aspects	aspect	NOUN
cana-5228	107	11	of	of	ADP
cana-5228	107	12	evidentiary	evidentiary	ADJ
cana-5228	107	13	ability	ability	NOUN
cana-5228	107	14	,	,	PUNCT
cana-5228	107	15	students	student	NOUN
cana-5228	107	16	and	and	CCONJ
cana-5228	107	17	their	their	PRON
cana-5228	107	18	communications	communication	NOUN
cana-5228	107	19	on	on	ADP
cana-5228	107	20	applied	apply	VERB
cana-5228	107	21	nonlinear	nonlinear	ADJ
cana-5228	107	22	analysis	analysis	NOUN
cana-5228	107	23	issn	issn	NOUN
cana-5228	107	24	:	:	PUNCT
cana-5228	107	25	1074	1074	NUM
cana-5228	107	26	-	-	PUNCT
cana-5228	107	27	133x	133x	NUM
cana-5228	107	28	vol	vol	NOUN
cana-5228	107	29	x	x	NOUN
cana-5228	107	30	no	no	INTJ
cana-5228	107	31	.	.	PUNCT
cana-5228	108	1	y	y	NOUN
cana-5228	108	2	(	(	PUNCT
cana-5228	108	3	20	20	NUM
cana-5228	108	4	-	-	PUNCT
cana-5228	108	5	-	-	PUNCT
cana-5228	108	6	)	)	PUNCT
cana-5228	108	7	1241	1241	NUM
cana-5228	108	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	108	9	causative	causative	ADJ
cana-5228	108	10	factors	factor	NOUN
cana-5228	108	11	,	,	PUNCT
cana-5228	108	12	advantages	advantage	NOUN
cana-5228	108	13	,	,	PUNCT
cana-5228	108	14	and	and	CCONJ
cana-5228	108	15	weaknesses	weakness	NOUN
cana-5228	108	16	when	when	SCONJ
cana-5228	108	17	applying	apply	VERB
cana-5228	108	18	informal	informal	ADJ
cana-5228	108	19	arguments	argument	NOUN
cana-5228	108	20	through	through	ADP
cana-5228	108	21	a	a	DET
cana-5228	108	22	guided	guide	VERB
cana-5228	108	23	discovery	discovery	NOUN
cana-5228	108	24	learning	learning	NOUN
cana-5228	108	25	model	model	NOUN
cana-5228	108	26	with	with	ADP
cana-5228	108	27	a	a	DET
cana-5228	108	28	mathematical	mathematical	ADJ
cana-5228	108	29	working	working	NOUN
cana-5228	108	30	space	space	NOUN
cana-5228	108	31	strategy	strategy	NOUN
cana-5228	108	32	.	.	PUNCT
cana-5228	109	1	2.4	2.4	NUM
cana-5228	109	2	.	.	PUNCT
cana-5228	110	1	data	datum	NOUN
cana-5228	110	2	analysis	analysis	NOUN
cana-5228	110	3	data	datum	NOUN
cana-5228	110	4	analysis	analysis	NOUN
cana-5228	110	5	used	use	VERB
cana-5228	110	6	for	for	ADP
cana-5228	110	7	quantitative	quantitative	ADJ
cana-5228	110	8	research	research	NOUN
cana-5228	110	9	is	be	AUX
cana-5228	110	10	by	by	ADP
cana-5228	110	11	the	the	DET
cana-5228	110	12	research	research	NOUN
cana-5228	110	13	objectives	objective	NOUN
cana-5228	110	14	.	.	PUNCT
cana-5228	111	1	the	the	DET
cana-5228	111	2	goal	goal	NOUN
cana-5228	111	3	is	be	AUX
cana-5228	111	4	to	to	PART
cana-5228	111	5	grow	grow	VERB
cana-5228	111	6	the	the	DET
cana-5228	111	7	proof	proof	ADJ
cana-5228	111	8	ability	ability	NOUN
cana-5228	111	9	of	of	ADP
cana-5228	111	10	mathematics	mathematics	NOUN
cana-5228	111	11	teachers	teacher	NOUN
cana-5228	111	12	through	through	ADP
cana-5228	111	13	a	a	DET
cana-5228	111	14	guided	guide	VERB
cana-5228	111	15	discovery	discovery	NOUN
cana-5228	111	16	learning	learning	NOUN
cana-5228	111	17	model	model	NOUN
cana-5228	111	18	with	with	ADP
cana-5228	111	19	a	a	DET
cana-5228	111	20	mathematical	mathematical	ADJ
cana-5228	111	21	working	working	NOUN
cana-5228	111	22	space	space	NOUN
cana-5228	111	23	strategy	strategy	NOUN
cana-5228	111	24	.	.	PUNCT
cana-5228	112	1	it	it	PRON
cana-5228	112	2	is	be	AUX
cana-5228	112	3	said	say	VERB
cana-5228	112	4	to	to	PART
cana-5228	112	5	be	be	AUX
cana-5228	112	6	successful	successful	ADJ
cana-5228	112	7	if	if	SCONJ
cana-5228	112	8	it	it	PRON
cana-5228	112	9	meets	meet	VERB
cana-5228	112	10	:	:	PUNCT
cana-5228	112	11	1	1	X
cana-5228	112	12	)	)	PUNCT
cana-5228	112	13	the	the	DET
cana-5228	112	14	experimental	experimental	ADJ
cana-5228	112	15	class	class	NOUN
cana-5228	112	16	experiences	experience	NOUN
cana-5228	112	17	learning	learn	VERB
cana-5228	112	18	completeness	completeness	NOUN
cana-5228	112	19	,	,	PUNCT
cana-5228	112	20	namely	namely	ADV
cana-5228	112	21	a	a	X
cana-5228	112	22	)	)	PUNCT
cana-5228	112	23	75	75	NUM
cana-5228	112	24	%	%	NOUN
cana-5228	112	25	of	of	ADP
cana-5228	112	26	students	student	NOUN
cana-5228	112	27	obtain	obtain	VERB
cana-5228	112	28	scores	score	NOUN
cana-5228	112	29	from	from	ADP
cana-5228	112	30	the	the	DET
cana-5228	112	31	evidentiary	evidentiary	ADJ
cana-5228	112	32	ability	ability	NOUN
cana-5228	112	33	test	test	NOUN
cana-5228	112	34	above	above	ADP
cana-5228	112	35	completeness	completeness	NOUN
cana-5228	112	36	,	,	PUNCT
cana-5228	112	37	which	which	PRON
cana-5228	112	38	is	be	AUX
cana-5228	112	39	65	65	NUM
cana-5228	112	40	,	,	PUNCT
cana-5228	112	41	the	the	DET
cana-5228	112	42	test	test	NOUN
cana-5228	112	43	used	use	VERB
cana-5228	112	44	with	with	ADP
cana-5228	112	45	the	the	DET
cana-5228	112	46	proportion	proportion	NOUN
cana-5228	112	47	test	test	NOUN
cana-5228	112	48	b	b	NOUN
cana-5228	112	49	)	)	PUNCT
cana-5228	112	50	the	the	DET
cana-5228	112	51	average	average	ADJ
cana-5228	112	52	score	score	NOUN
cana-5228	112	53	above	above	ADP
cana-5228	112	54	the	the	DET
cana-5228	112	55	completeness	completeness	NOUN
cana-5228	112	56	value	value	NOUN
cana-5228	112	57	that	that	PRON
cana-5228	112	58	is	be	AUX
cana-5228	112	59	65	65	NUM
cana-5228	112	60	then	then	ADV
cana-5228	112	61	use	use	VERB
cana-5228	112	62	the	the	DET
cana-5228	112	63	one	one	NUM
cana-5228	112	64	-	-	PUNCT
cana-5228	112	65	sample	sample	NOUN
cana-5228	112	66	t	t	NOUN
cana-5228	112	67	-	-	PUNCT
cana-5228	112	68	test	test	NOUN
cana-5228	112	69	,	,	PUNCT
cana-5228	112	70	c	c	NOUN
cana-5228	112	71	)	)	PUNCT
cana-5228	112	72	.	.	PUNCT
cana-5228	113	1	results	result	NOUN
cana-5228	113	2	of	of	ADP
cana-5228	113	3	student	student	NOUN
cana-5228	113	4	assignments	assignment	NOUN
cana-5228	113	5	for	for	ADP
cana-5228	113	6	each	each	DET
cana-5228	113	7	sub	sub	NOUN
cana-5228	113	8	-	-	ADJ
cana-5228	113	9	material	material	ADJ
cana-5228	113	10	2	2	NUM
cana-5228	113	11	)	)	PUNCT
cana-5228	113	12	.	.	PUNCT
cana-5228	114	1	description	description	NOUN
cana-5228	114	2	pre	pre	NOUN
cana-5228	114	3	-	-	NOUN
cana-5228	114	4	test	test	NOUN
cana-5228	114	5	and	and	CCONJ
cana-5228	114	6	post	post	ADJ
cana-5228	114	7	-	-	ADJ
cana-5228	114	8	test	test	ADJ
cana-5228	114	9	statistics	statistic	NOUN
cana-5228	114	10	in	in	ADP
cana-5228	114	11	experimental	experimental	ADJ
cana-5228	114	12	and	and	CCONJ
cana-5228	114	13	control	control	NOUN
cana-5228	114	14	classes	class	NOUN
cana-5228	114	15	3	3	NUM
cana-5228	114	16	)	)	PUNCT
cana-5228	114	17	the	the	DET
cana-5228	114	18	results	result	NOUN
cana-5228	114	19	of	of	ADP
cana-5228	114	20	the	the	DET
cana-5228	114	21	evidentiary	evidentiary	ADJ
cana-5228	114	22	ability	ability	NOUN
cana-5228	114	23	test	test	NOUN
cana-5228	114	24	in	in	ADP
cana-5228	114	25	the	the	DET
cana-5228	114	26	experimental	experimental	ADJ
cana-5228	114	27	class	class	NOUN
cana-5228	114	28	are	be	AUX
cana-5228	114	29	better	well	ADJ
cana-5228	114	30	than	than	ADP
cana-5228	114	31	the	the	DET
cana-5228	114	32	control	control	NOUN
cana-5228	114	33	class	class	NOUN
cana-5228	114	34	,	,	PUNCT
cana-5228	114	35	then	then	ADV
cana-5228	114	36	use	use	VERB
cana-5228	114	37	the	the	DET
cana-5228	114	38	independent	independent	ADJ
cana-5228	114	39	t	t	NOUN
cana-5228	114	40	-	-	PUNCT
cana-5228	114	41	test	test	NOUN
cana-5228	114	42	.	.	PUNCT
cana-5228	115	1	based	base	VERB
cana-5228	115	2	on	on	ADP
cana-5228	115	3	the	the	DET
cana-5228	115	4	responses	response	NOUN
cana-5228	115	5	of	of	ADP
cana-5228	115	6	32	32	NUM
cana-5228	115	7	students	student	NOUN
cana-5228	115	8	,	,	PUNCT
cana-5228	115	9	3	3	NUM
cana-5228	115	10	representative	representative	ADJ
cana-5228	115	11	answers	answer	NOUN
cana-5228	115	12	were	be	AUX
cana-5228	115	13	chosen	choose	VERB
cana-5228	115	14	.	.	PUNCT
cana-5228	116	1	then	then	ADV
cana-5228	116	2	the	the	DET
cana-5228	116	3	representative	representative	ADJ
cana-5228	116	4	responses	response	NOUN
cana-5228	116	5	are	be	AUX
cana-5228	116	6	analyzed	analyze	VERB
cana-5228	116	7	to	to	PART
cana-5228	116	8	find	find	VERB
cana-5228	116	9	the	the	DET
cana-5228	116	10	proof	proof	ADJ
cana-5228	116	11	process	process	NOUN
cana-5228	116	12	.	.	PUNCT
cana-5228	117	1	the	the	DET
cana-5228	117	2	completeness	completeness	NOUN
cana-5228	117	3	of	of	ADP
cana-5228	117	4	mathematical	mathematical	ADJ
cana-5228	117	5	proof	proof	NOUN
cana-5228	117	6	skills	skill	NOUN
cana-5228	117	7	was	be	AUX
cana-5228	117	8	analyzed	analyze	VERB
cana-5228	117	9	through	through	ADP
cana-5228	117	10	answer	answer	NOUN
cana-5228	117	11	sheets	sheet	NOUN
cana-5228	117	12	and	and	CCONJ
cana-5228	117	13	interview	interview	NOUN
cana-5228	117	14	files	file	NOUN
cana-5228	117	15	.	.	PUNCT
cana-5228	118	1	the	the	DET
cana-5228	118	2	results	result	NOUN
cana-5228	118	3	of	of	ADP
cana-5228	118	4	this	this	DET
cana-5228	118	5	analysis	analysis	NOUN
cana-5228	118	6	function	function	NOUN
cana-5228	118	7	as	as	ADP
cana-5228	118	8	data	datum	NOUN
cana-5228	118	9	on	on	ADP
cana-5228	118	10	the	the	DET
cana-5228	118	11	student	student	NOUN
cana-5228	118	12	learning	learning	NOUN
cana-5228	118	13	process	process	NOUN
cana-5228	118	14	during	during	ADP
cana-5228	118	15	the	the	DET
cana-5228	118	16	research	research	NOUN
cana-5228	118	17	.	.	PUNCT
cana-5228	119	1	the	the	DET
cana-5228	119	2	process	process	NOUN
cana-5228	119	3	data	datum	NOUN
cana-5228	119	4	shows	show	VERB
cana-5228	119	5	the	the	DET
cana-5228	119	6	credibility	credibility	NOUN
cana-5228	119	7	of	of	ADP
cana-5228	119	8	qualitative	qualitative	ADJ
cana-5228	119	9	research	research	NOUN
cana-5228	119	10	.	.	PUNCT
cana-5228	120	1	3	3	X
cana-5228	120	2	.	.	X
cana-5228	120	3	results	result	NOUN
cana-5228	120	4	before	before	ADP
cana-5228	120	5	the	the	DET
cana-5228	120	6	research	research	NOUN
cana-5228	120	7	,	,	PUNCT
cana-5228	120	8	the	the	DET
cana-5228	120	9	initial	initial	ADJ
cana-5228	120	10	ability	ability	NOUN
cana-5228	120	11	to	to	PART
cana-5228	120	12	prove	prove	VERB
cana-5228	120	13	students	student	NOUN
cana-5228	120	14	who	who	PRON
cana-5228	120	15	took	take	VERB
cana-5228	120	16	the	the	DET
cana-5228	120	17	real	real	ADJ
cana-5228	120	18	analysis	analysis	NOUN
cana-5228	120	19	course	course	NOUN
cana-5228	120	20	in	in	ADP
cana-5228	120	21	the	the	DET
cana-5228	120	22	mathematics	mathematic	NOUN
cana-5228	120	23	education	education	NOUN
cana-5228	120	24	study	study	NOUN
cana-5228	120	25	program	program	NOUN
cana-5228	120	26	of	of	ADP
cana-5228	120	27	pancasaki	pancasaki	PROPN
cana-5228	120	28	tegal	tegal	PROPN
cana-5228	120	29	university	university	PROPN
cana-5228	120	30	and	and	CCONJ
cana-5228	120	31	brebes	brebe	NOUN
cana-5228	120	32	civilization	civilization	PROPN
cana-5228	120	33	university	university	NOUN
cana-5228	120	34	were	be	AUX
cana-5228	120	35	given	give	VERB
cana-5228	120	36	a	a	DET
cana-5228	120	37	test	test	NOUN
cana-5228	120	38	.	.	PUNCT
cana-5228	121	1	the	the	DET
cana-5228	121	2	test	test	NOUN
cana-5228	121	3	contains	contain	VERB
cana-5228	121	4	proof	proof	NOUN
cana-5228	121	5	of	of	ADP
cana-5228	121	6	the	the	DET
cana-5228	121	7	material	material	NOUN
cana-5228	121	8	before	before	ADP
cana-5228	121	9	the	the	DET
cana-5228	121	10	row	row	NOUN
cana-5228	121	11	,	,	PUNCT
cana-5228	121	12	namely	namely	ADV
cana-5228	121	13	the	the	DET
cana-5228	121	14	real	real	ADJ
cana-5228	121	15	number	number	NOUN
cana-5228	121	16	system	system	NOUN
cana-5228	121	17	material	material	NOUN
cana-5228	121	18	.	.	PUNCT
cana-5228	122	1	then	then	ADV
cana-5228	122	2	the	the	DET
cana-5228	122	3	test	test	NOUN
cana-5228	122	4	results	result	NOUN
cana-5228	122	5	are	be	AUX
cana-5228	122	6	tested	test	VERB
cana-5228	122	7	with	with	ADP
cana-5228	122	8	an	an	DET
cana-5228	122	9	independent	independent	ADJ
cana-5228	122	10	samples	sample	NOUN
cana-5228	122	11	test	test	NOUN
cana-5228	122	12	assisted	assist	VERB
cana-5228	122	13	ibm	ibm	PROPN
cana-5228	122	14	spss	spss	PROPN
cana-5228	122	15	statistic	statistic	NOUN
cana-5228	122	16	27	27	NUM
cana-5228	122	17	with	with	ADP
cana-5228	122	18	the	the	DET
cana-5228	122	19	results	result	NOUN
cana-5228	122	20	in	in	ADP
cana-5228	122	21	the	the	DET
cana-5228	122	22	following	follow	VERB
cana-5228	122	23	table	table	NOUN
cana-5228	122	24	2	2	NUM
cana-5228	122	25	table	table	NOUN
cana-5228	122	26	2	2	NUM
cana-5228	122	27	independent	independent	ADJ
cana-5228	122	28	samples	sample	NOUN
cana-5228	122	29	test	test	NOUN
cana-5228	122	30	levene	levene	NOUN
cana-5228	122	31	's	's	PART
cana-5228	122	32	test	test	NOUN
cana-5228	122	33	for	for	ADP
cana-5228	122	34	equality	equality	NOUN
cana-5228	122	35	of	of	ADP
cana-5228	122	36	variances	variance	NOUN
cana-5228	122	37	t	t	NOUN
cana-5228	122	38	-	-	PUNCT
cana-5228	122	39	test	test	NOUN
cana-5228	122	40	for	for	ADP
cana-5228	122	41	equality	equality	NOUN
cana-5228	122	42	of	of	ADP
cana-5228	122	43	means	means	PROPN
cana-5228	122	44	f	f	PROPN
cana-5228	122	45	sig	sig	PROPN
cana-5228	122	46	.	.	PUNCT
cana-5228	123	1	t	t	PROPN
cana-5228	123	2	df	df	PROPN
cana-5228	123	3	sig	sig	PROPN
cana-5228	123	4	.	.	PUNCT
cana-5228	124	1	(	(	PUNCT
cana-5228	124	2	2tailed	2tailed	NUM
cana-5228	124	3	)	)	PUNCT
cana-5228	124	4	mean	mean	ADJ
cana-5228	124	5	difference	difference	NOUN
cana-5228	124	6	std	std	NOUN
cana-5228	124	7	.	.	PUNCT
cana-5228	124	8	error	error	NOUN
cana-5228	124	9	difference	difference	NOUN
cana-5228	124	10	95	95	NUM
cana-5228	124	11	%	%	NOUN
cana-5228	124	12	confidence	confidence	NOUN
cana-5228	124	13	interval	interval	NOUN
cana-5228	124	14	of	of	ADP
cana-5228	124	15	the	the	DET
cana-5228	124	16	difference	difference	NOUN
cana-5228	124	17	lower	low	ADJ
cana-5228	124	18	upper	upper	ADJ
cana-5228	124	19	awal_ps_pr	awal_ps_pr	NOUN
cana-5228	124	20	equal	equal	ADJ
cana-5228	124	21	variances	variance	NOUN
cana-5228	124	22	assumed	assume	VERB
cana-5228	124	23	,	,	PUNCT
cana-5228	124	24	142	142	NUM
cana-5228	124	25	,	,	PUNCT
cana-5228	124	26	709	709	NUM
cana-5228	124	27	4,817	4,817	NUM
cana-5228	124	28	60	60	NUM
cana-5228	124	29	,	,	PUNCT
cana-5228	124	30	000	000	NUM
cana-5228	125	1	5,16200	5,16200	NUM
cana-5228	125	2	1,07158	1,07158	NUM
cana-5228	125	3	2,99271	2,99271	NOUN
cana-5228	125	4	7,33129	7,33129	NUM
cana-5228	125	5	equal	equal	ADJ
cana-5228	125	6	variances	variance	NOUN
cana-5228	125	7	are	be	AUX
cana-5228	125	8	not	not	PART
cana-5228	125	9	assumed	assume	VERB
cana-5228	125	10	.	.	PUNCT
cana-5228	126	1	4,399	4,399	NUM
cana-5228	126	2	22,133	22,133	NUM
cana-5228	126	3	,	,	PUNCT
cana-5228	126	4	000	000	NUM
cana-5228	126	5	5,16200	5,16200	NUM
cana-5228	126	6	1,17355	1,17355	NUM
cana-5228	126	7	2,72905	2,72905	NUM
cana-5228	126	8	7,59495	7,59495	PROPN
cana-5228	126	9	based	base	VERB
cana-5228	126	10	on	on	ADP
cana-5228	126	11	the	the	DET
cana-5228	126	12	test	test	NOUN
cana-5228	126	13	results	result	NOUN
cana-5228	126	14	,	,	PUNCT
cana-5228	126	15	the	the	DET
cana-5228	126	16	sig	sig	NOUN
cana-5228	126	17	obtained	obtain	VERB
cana-5228	126	18	was	be	AUX
cana-5228	126	19	0.709	0.709	NUM
cana-5228	126	20	>	>	X
cana-5228	126	21	0.05	0.05	NUM
cana-5228	126	22	,	,	PUNCT
cana-5228	126	23	so	so	CCONJ
cana-5228	126	24	the	the	DET
cana-5228	126	25	initial	initial	ADJ
cana-5228	126	26	ability	ability	NOUN
cana-5228	126	27	of	of	ADP
cana-5228	126	28	students	student	NOUN
cana-5228	126	29	from	from	ADP
cana-5228	126	30	the	the	DET
cana-5228	126	31	two	two	NUM
cana-5228	126	32	study	study	NOUN
cana-5228	126	33	programs	program	NOUN
cana-5228	126	34	was	be	AUX
cana-5228	126	35	homogeneous	homogeneous	ADJ
cana-5228	126	36	.	.	PUNCT
cana-5228	127	1	then	then	ADV
cana-5228	127	2	with	with	ADP
cana-5228	127	3	the	the	DET
cana-5228	127	4	purposive	purposive	ADJ
cana-5228	127	5	sampling	sampling	NOUN
cana-5228	127	6	technique	technique	NOUN
cana-5228	127	7	,	,	PUNCT
cana-5228	127	8	pancasakti	pancasakti	ADJ
cana-5228	127	9	tegal	tegal	ADJ
cana-5228	127	10	university	university	NOUN
cana-5228	127	11	students	student	NOUN
cana-5228	127	12	were	be	AUX
cana-5228	127	13	used	use	VERB
cana-5228	127	14	as	as	ADP
cana-5228	127	15	an	an	DET
cana-5228	127	16	experimental	experimental	ADJ
cana-5228	127	17	class	class	NOUN
cana-5228	127	18	.	.	PUNCT
cana-5228	128	1	furthermore	furthermore	ADV
cana-5228	128	2	,	,	PUNCT
cana-5228	128	3	a	a	DET
cana-5228	128	4	proportion	proportion	NOUN
cana-5228	128	5	test	test	NOUN
cana-5228	128	6	and	and	CCONJ
cana-5228	128	7	a	a	DET
cana-5228	128	8	one	one	NUM
cana-5228	128	9	-	-	PUNCT
cana-5228	128	10	sample	sample	NOUN
cana-5228	128	11	test	test	NOUN
cana-5228	128	12	were	be	AUX
cana-5228	128	13	carried	carry	VERB
cana-5228	128	14	out	out	ADP
cana-5228	128	15	to	to	PART
cana-5228	128	16	determine	determine	VERB
cana-5228	128	17	the	the	DET
cana-5228	128	18	student	student	NOUN
cana-5228	128	19	's	's	PART
cana-5228	128	20	ability	ability	NOUN
cana-5228	128	21	to	to	PART
cana-5228	128	22	prove	prove	VERB
cana-5228	128	23	during	during	ADP
cana-5228	128	24	learning	learn	VERB
cana-5228	128	25	using	use	VERB
cana-5228	128	26	the	the	DET
cana-5228	128	27	guided	guide	VERB
cana-5228	128	28	discovery	discovery	NOUN
cana-5228	128	29	learning	learning	NOUN
cana-5228	128	30	model	model	NOUN
cana-5228	128	31	with	with	ADP
cana-5228	128	32	the	the	DET
cana-5228	128	33	mathematical	mathematical	ADJ
cana-5228	128	34	working	working	NOUN
cana-5228	128	35	space	space	NOUN
cana-5228	128	36	strategy	strategy	NOUN
cana-5228	128	37	on	on	ADP
cana-5228	128	38	the	the	DET
cana-5228	128	39	row	row	NOUN
cana-5228	128	40	material	material	NOUN
cana-5228	128	41	.	.	PUNCT
cana-5228	129	1	before	before	ADP
cana-5228	129	2	being	be	AUX
cana-5228	129	3	tested	test	VERB
cana-5228	129	4	in	in	ADP
cana-5228	129	5	the	the	DET
cana-5228	129	6	2	2	NUM
cana-5228	129	7	tests	test	NOUN
cana-5228	129	8	above	above	ADV
cana-5228	129	9	,	,	PUNCT
cana-5228	129	10	the	the	DET
cana-5228	129	11	data	datum	NOUN
cana-5228	129	12	must	must	AUX
cana-5228	129	13	meet	meet	VERB
cana-5228	129	14	the	the	DET
cana-5228	129	15	communications	communication	NOUN
cana-5228	129	16	on	on	ADP
cana-5228	129	17	applied	apply	VERB
cana-5228	129	18	nonlinear	nonlinear	ADJ
cana-5228	129	19	analysis	analysis	NOUN
cana-5228	129	20	issn	issn	NOUN
cana-5228	129	21	:	:	PUNCT
cana-5228	129	22	1074	1074	NUM
cana-5228	129	23	-	-	PUNCT
cana-5228	129	24	133x	133x	NUM
cana-5228	129	25	vol	vol	NOUN
cana-5228	129	26	x	x	NOUN
cana-5228	129	27	no	no	INTJ
cana-5228	129	28	.	.	PUNCT
cana-5228	130	1	y	y	NOUN
cana-5228	130	2	(	(	PUNCT
cana-5228	130	3	20	20	NUM
cana-5228	130	4	-	-	PUNCT
cana-5228	130	5	-	-	PUNCT
cana-5228	130	6	)	)	PUNCT
cana-5228	130	7	1242	1242	NUM
cana-5228	130	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	130	9	normal	normal	ADJ
cana-5228	130	10	distribution	distribution	NOUN
cana-5228	130	11	,	,	PUNCT
cana-5228	130	12	then	then	ADV
cana-5228	130	13	a	a	DET
cana-5228	130	14	normality	normality	NOUN
cana-5228	130	15	test	test	NOUN
cana-5228	130	16	.	.	PUNCT
cana-5228	131	1	the	the	DET
cana-5228	131	2	test	test	NOUN
cana-5228	131	3	uses	use	VERB
cana-5228	131	4	the	the	DET
cana-5228	131	5	kolmogorov	kolmogorov	ADJ
cana-5228	131	6	-	-	PUNCT
cana-5228	131	7	smirnov	smirnov	ADJ
cana-5228	131	8	test	test	NOUN
cana-5228	131	9	with	with	ADP
cana-5228	131	10	the	the	DET
cana-5228	131	11	help	help	NOUN
cana-5228	131	12	of	of	ADP
cana-5228	131	13	ibm	ibm	PROPN
cana-5228	131	14	spss	spss	PROPN
cana-5228	131	15	statistics	statistic	NOUN
cana-5228	131	16	27	27	NUM
cana-5228	131	17	with	with	ADP
cana-5228	131	18	the	the	DET
cana-5228	131	19	results	result	NOUN
cana-5228	131	20	in	in	ADP
cana-5228	131	21	table	table	NOUN
cana-5228	131	22	3	3	NUM
cana-5228	131	23	.	.	PUNCT
cana-5228	131	24	table	table	NOUN
cana-5228	131	25	3	3	NUM
cana-5228	131	26	results	result	NOUN
cana-5228	131	27	of	of	ADP
cana-5228	131	28	the	the	DET
cana-5228	131	29	normality	normality	NOUN
cana-5228	131	30	test	test	NOUN
cana-5228	131	31	kolmogorov	kolmogorov	PROPN
cana-5228	131	32	-	-	PUNCT
cana-5228	131	33	smirnova	smirnova	PROPN
cana-5228	131	34	statistic	statistic	PROPN
cana-5228	131	35	df	df	PROPN
cana-5228	131	36	sig	sig	PROPN
cana-5228	131	37	.	.	PUNCT
cana-5228	132	1	data	data	PROPN
cana-5228	132	2	kemampuan	kemampuan	PROPN
cana-5228	132	3	pembuktian	pembuktian	PROPN
cana-5228	132	4	akhir	akhir	PROPN
cana-5228	132	5	kelas	kelas	PROPN
cana-5228	132	6	eksperimen	eksperimen	PROPN
cana-5228	132	7	,	,	PUNCT
cana-5228	132	8	141	141	NUM
cana-5228	132	9	26	26	NUM
cana-5228	132	10	,	,	PUNCT
cana-5228	132	11	194	194	NUM
cana-5228	132	12	based	base	VERB
cana-5228	132	13	on	on	ADP
cana-5228	132	14	table	table	NOUN
cana-5228	132	15	3	3	NUM
cana-5228	132	16	above	above	ADP
cana-5228	132	17	aacquired	aacquire	VERB
cana-5228	132	18	sig	sig	NOUN
cana-5228	132	19	=	=	PUNCT
cana-5228	132	20	0.194	0.194	NUM
cana-5228	132	21	>	>	X
cana-5228	132	22	0.05	0.05	NUM
cana-5228	132	23	,	,	PUNCT
cana-5228	132	24	which	which	PRON
cana-5228	132	25	means	mean	VERB
cana-5228	132	26	that	that	SCONJ
cana-5228	132	27	the	the	DET
cana-5228	132	28	data	data	NOUN
cana-5228	132	29	is	be	AUX
cana-5228	132	30	normally	normally	ADV
cana-5228	132	31	distributed	distribute	VERB
cana-5228	132	32	.	.	PUNCT
cana-5228	133	1	next	next	ADV
cana-5228	133	2	,	,	PUNCT
cana-5228	133	3	a	a	DET
cana-5228	133	4	proportion	proportion	NOUN
cana-5228	133	5	test	test	NOUN
cana-5228	133	6	was	be	AUX
cana-5228	133	7	carried	carry	VERB
cana-5228	133	8	out	out	ADP
cana-5228	133	9	with	with	ADP
cana-5228	133	10	the	the	DET
cana-5228	133	11	following	follow	VERB
cana-5228	133	12	results	result	NOUN
cana-5228	133	13	tcalculated	tcalculate	VERB
cana-5228	133	14	=	=	PUNCT
cana-5228	133	15	4.48	4.48	NUM
cana-5228	133	16	>	>	NOUN
cana-5228	133	17	ttable	ttable	ADJ
cana-5228	133	18	=	=	SYM
cana-5228	133	19	1.710882	1.710882	NUM
cana-5228	133	20	means	mean	VERB
cana-5228	133	21	that	that	SCONJ
cana-5228	133	22	more	more	ADJ
cana-5228	133	23	than	than	ADP
cana-5228	133	24	75	75	NUM
cana-5228	133	25	%	%	NOUN
cana-5228	133	26	of	of	ADP
cana-5228	133	27	students	student	NOUN
cana-5228	133	28	who	who	PRON
cana-5228	133	29	learned	learn	VERB
cana-5228	133	30	analysis	analysis	NOUN
cana-5228	133	31	in	in	ADP
cana-5228	133	32	the	the	DET
cana-5228	133	33	experimental	experimental	ADJ
cana-5228	133	34	class	class	NOUN
cana-5228	133	35	obtained	obtain	VERB
cana-5228	133	36	a	a	DET
cana-5228	133	37	score	score	NOUN
cana-5228	133	38	above	above	ADP
cana-5228	133	39	the	the	DET
cana-5228	133	40	completeness	completeness	NOUN
cana-5228	133	41	value	value	NOUN
cana-5228	133	42	of	of	ADP
cana-5228	133	43	65	65	NUM
cana-5228	133	44	.	.	PUNCT
cana-5228	134	1	then	then	ADV
cana-5228	134	2	a	a	DET
cana-5228	134	3	test	test	NOUN
cana-5228	134	4	of	of	ADP
cana-5228	134	5	one	one	NUM
cana-5228	134	6	sample	sample	NOUN
cana-5228	134	7	using	use	VERB
cana-5228	134	8	ibm	ibm	PROPN
cana-5228	134	9	spss	spss	PROPN
cana-5228	134	10	statistics	statistic	NOUN
cana-5228	134	11	27	27	NUM
cana-5228	134	12	was	be	AUX
cana-5228	134	13	obtained	obtain	VERB
cana-5228	134	14	in	in	ADP
cana-5228	134	15	the	the	DET
cana-5228	134	16	following	follow	VERB
cana-5228	134	17	table	table	NOUN
cana-5228	134	18	4	4	NUM
cana-5228	134	19	.	.	PUNCT
cana-5228	134	20	table	table	NOUN
cana-5228	134	21	4	4	NUM
cana-5228	134	22	one	one	NUM
cana-5228	134	23	-	-	PUNCT
cana-5228	134	24	sample	sample	NOUN
cana-5228	134	25	test	test	NOUN
cana-5228	134	26	test	test	NOUN
cana-5228	134	27	value	value	NOUN
cana-5228	134	28	=	=	SYM
cana-5228	134	29	65.00	65.00	NUM
cana-5228	134	30	t	t	PROPN
cana-5228	134	31	df	df	PROPN
cana-5228	134	32	sig	sig	PROPN
cana-5228	134	33	.	.	PUNCT
cana-5228	135	1	(	(	PUNCT
cana-5228	135	2	2	2	NUM
cana-5228	135	3	-	-	PUNCT
cana-5228	135	4	tailed	tailed	ADJ
cana-5228	135	5	)	)	PUNCT
cana-5228	135	6	mean	mean	ADJ
cana-5228	135	7	difference	difference	NOUN
cana-5228	135	8	,	,	PUNCT
cana-5228	135	9	95	95	NUM
cana-5228	135	10	%	%	NOUN
cana-5228	135	11	confidence	confidence	NOUN
cana-5228	135	12	interval	interval	NOUN
cana-5228	135	13	of	of	ADP
cana-5228	135	14	the	the	DET
cana-5228	135	15	difference	difference	NOUN
cana-5228	135	16	lower	low	ADJ
cana-5228	135	17	upper	upper	ADJ
cana-5228	135	18	var00001	var00001	NOUN
cana-5228	135	19	1,742	1,742	NUM
cana-5228	135	20	31	31	NUM
cana-5228	135	21	,	,	PUNCT
cana-5228	135	22	094	094	NUM
cana-5228	135	23	,	,	PUNCT
cana-5228	135	24	86692	86692	NUM
cana-5228	135	25	,	,	PUNCT
cana-5228	135	26	8609	8609	NUM
cana-5228	135	27	,	,	PUNCT
cana-5228	135	28	8729	8729	NUM
cana-5228	135	29	with	with	ADP
cana-5228	135	30	the	the	DET
cana-5228	135	31	test	test	NOUN
cana-5228	135	32	one	one	NUM
cana-5228	135	33	sample	sample	NOUN
cana-5228	135	34	t	t	NOUN
cana-5228	135	35	-	-	PUNCT
cana-5228	135	36	test	test	NOUN
cana-5228	135	37	pada	pada	NOUN
cana-5228	135	38	table	table	NOUN
cana-5228	135	39	4	4	NUM
cana-5228	135	40	obtained	obtain	VERB
cana-5228	135	41	sig	sig	NOUN
cana-5228	135	42	=	=	PUNCT
cana-5228	135	43	0.094	0.094	NUM
cana-5228	135	44	>	>	SYM
cana-5228	135	45	0.05	0.05	NUM
cana-5228	135	46	means	mean	VERB
cana-5228	135	47	the	the	DET
cana-5228	135	48	average	average	ADJ
cana-5228	135	49	results	result	NOUN
cana-5228	135	50	of	of	ADP
cana-5228	135	51	the	the	DET
cana-5228	135	52	evidentiary	evidentiary	ADJ
cana-5228	135	53	ability	ability	NOUN
cana-5228	135	54	test	test	NOUN
cana-5228	135	55	in	in	ADP
cana-5228	135	56	the	the	DET
cana-5228	135	57	experimental	experimental	ADJ
cana-5228	135	58	class	class	NOUN
cana-5228	135	59	above	above	ADP
cana-5228	135	60	the	the	DET
cana-5228	135	61	completeness	completeness	NOUN
cana-5228	135	62	criterion	criterion	NOUN
cana-5228	135	63	of	of	ADP
cana-5228	135	64	65	65	NUM
cana-5228	135	65	.	.	PUNCT
cana-5228	136	1	from	from	ADP
cana-5228	136	2	the	the	DET
cana-5228	136	3	results	result	NOUN
cana-5228	136	4	of	of	ADP
cana-5228	136	5	the	the	DET
cana-5228	136	6	two	two	NUM
cana-5228	136	7	tests	test	NOUN
cana-5228	136	8	above	above	ADV
cana-5228	136	9	,	,	PUNCT
cana-5228	136	10	it	it	PRON
cana-5228	136	11	means	mean	VERB
cana-5228	136	12	that	that	SCONJ
cana-5228	136	13	students	student	NOUN
cana-5228	136	14	who	who	PRON
cana-5228	136	15	study	study	VERB
cana-5228	136	16	real	real	ADJ
cana-5228	136	17	analysis	analysis	NOUN
cana-5228	136	18	with	with	ADP
cana-5228	136	19	the	the	DET
cana-5228	136	20	help	help	NOUN
cana-5228	136	21	of	of	ADP
cana-5228	136	22	a	a	DET
cana-5228	136	23	guided	guide	VERB
cana-5228	136	24	discovery	discovery	NOUN
cana-5228	136	25	learning	learning	NOUN
cana-5228	136	26	model	model	NOUN
cana-5228	136	27	with	with	ADP
cana-5228	136	28	the	the	DET
cana-5228	136	29	help	help	NOUN
cana-5228	136	30	of	of	ADP
cana-5228	136	31	a	a	DET
cana-5228	136	32	worksheet	worksheet	NOUN
cana-5228	136	33	of	of	ADP
cana-5228	136	34	rocky	rocky	ADJ
cana-5228	136	35	discussion	discussion	NOUN
cana-5228	136	36	material	material	PROPN
cana-5228	136	37	mathematical	mathematical	ADJ
cana-5228	136	38	working	working	NOUN
cana-5228	136	39	space	space	NOUN
cana-5228	136	40	strategy	strategy	NOUN
cana-5228	136	41	meet	meet	VERB
cana-5228	136	42	the	the	DET
cana-5228	136	43	completeness	completeness	NOUN
cana-5228	136	44	criteria	criterion	NOUN
cana-5228	136	45	.	.	PUNCT
cana-5228	137	1	the	the	DET
cana-5228	137	2	condition	condition	NOUN
cana-5228	137	3	of	of	ADP
cana-5228	137	4	the	the	DET
cana-5228	137	5	experimental	experimental	ADJ
cana-5228	137	6	classroom	classroom	NOUN
cana-5228	137	7	is	be	AUX
cana-5228	137	8	seen	see	VERB
cana-5228	137	9	from	from	ADP
cana-5228	137	10	the	the	DET
cana-5228	137	11	final	final	ADJ
cana-5228	137	12	results	result	NOUN
cana-5228	137	13	of	of	ADP
cana-5228	137	14	the	the	DET
cana-5228	137	15	learning	learning	NOUN
cana-5228	137	16	that	that	PRON
cana-5228	137	17	meets	meet	VERB
cana-5228	137	18	the	the	DET
cana-5228	137	19	requirements	requirement	NOUN
cana-5228	137	20	of	of	ADP
cana-5228	137	21	the	the	DET
cana-5228	137	22	proof	proof	NOUN
cana-5228	137	23	.	.	PUNCT
cana-5228	138	1	likewise	likewise	ADV
cana-5228	138	2	,	,	PUNCT
cana-5228	138	3	the	the	DET
cana-5228	138	4	results	result	NOUN
cana-5228	138	5	of	of	ADP
cana-5228	138	6	student	student	NOUN
cana-5228	138	7	assignments	assignment	NOUN
cana-5228	138	8	in	in	ADP
cana-5228	138	9	each	each	DET
cana-5228	138	10	sub	sub	NOUN
cana-5228	138	11	-	-	NOUN
cana-5228	138	12	material	material	ADJ
cana-5228	138	13	with	with	ADP
cana-5228	138	14	descriptive	descriptive	ADJ
cana-5228	138	15	statistics	statistic	NOUN
cana-5228	138	16	are	be	AUX
cana-5228	138	17	contained	contain	VERB
cana-5228	138	18	in	in	ADP
cana-5228	138	19	the	the	DET
cana-5228	138	20	following	follow	VERB
cana-5228	138	21	table	table	NOUN
cana-5228	138	22	5	5	NUM
cana-5228	138	23	.	.	PUNCT
cana-5228	138	24	table	table	NOUN
cana-5228	138	25	5	5	NUM
cana-5228	138	26	descriptive	descriptive	ADJ
cana-5228	138	27	statistics	statistic	NOUN
cana-5228	138	28	of	of	ADP
cana-5228	138	29	student	student	NOUN
cana-5228	138	30	assignments	assignment	NOUN
cana-5228	138	31	in	in	ADP
cana-5228	138	32	each	each	DET
cana-5228	138	33	sub	sub	ADJ
cana-5228	138	34	-	-	ADJ
cana-5228	138	35	material	material	ADJ
cana-5228	138	36	sequences	sequence	NOUN
cana-5228	138	37	and	and	CCONJ
cana-5228	138	38	their	their	PRON
cana-5228	138	39	limits	limit	NOUN
cana-5228	138	40	limit	limit	VERB
cana-5228	138	41	theorems	theorem	NOUN
cana-5228	138	42	monotone	monotone	ADJ
cana-5228	138	43	sequences	sequence	NOUN
cana-5228	138	44	subsequences	subsequence	NOUN
cana-5228	138	45	and	and	CCONJ
cana-5228	138	46	bolzano	bolzano	PROPN
cana-5228	138	47	weierstrass	weierstrass	NOUN
cana-5228	138	48	's	's	PART
cana-5228	138	49	theorem	theorem	VERB
cana-5228	138	50	the	the	DET
cana-5228	138	51	cauchy	cauchy	ADJ
cana-5228	138	52	criterion	criterion	NOUN
cana-5228	138	53	mean	mean	VERB
cana-5228	139	1	72.77	72.77	NUM
cana-5228	139	2	77.67	77.67	NUM
cana-5228	139	3	70.45	70.45	NUM
cana-5228	139	4	89.54	89.54	NUM
cana-5228	139	5	80.56	80.56	NUM
cana-5228	139	6	standard	standard	NOUN
cana-5228	139	7	.	.	PUNCT
cana-5228	140	1	deviation	deviation	NOUN
cana-5228	140	2	5.75	5.75	NUM
cana-5228	140	3	6.12	6.12	NUM
cana-5228	140	4	5.98	5.98	NUM
cana-5228	140	5	4,65	4,65	NOUN
cana-5228	140	6	6.09	6.09	NUM
cana-5228	140	7	minimum	minimum	NOUN
cana-5228	140	8	36.78	36.78	NUM
cana-5228	140	9	45.65	45.65	NUM
cana-5228	140	10	39.24	39.24	NUM
cana-5228	140	11	55.67	55.67	NUM
cana-5228	140	12	46.24	46.24	NUM
cana-5228	140	13	maximum	maximum	NOUN
cana-5228	140	14	78.56	78.56	NUM
cana-5228	140	15	80.25	80.25	NUM
cana-5228	140	16	75.67	75.67	NUM
cana-5228	140	17	90.78	90.78	NUM
cana-5228	140	18	89.99	89.99	NUM
cana-5228	140	19	the	the	DET
cana-5228	140	20	results	result	NOUN
cana-5228	140	21	of	of	ADP
cana-5228	140	22	student	student	NOUN
cana-5228	140	23	assignments	assignment	NOUN
cana-5228	140	24	for	for	ADP
cana-5228	140	25	each	each	DET
cana-5228	140	26	sub	sub	NOUN
cana-5228	140	27	-	-	NOUN
cana-5228	140	28	material	material	ADJ
cana-5228	140	29	in	in	ADP
cana-5228	140	30	table	table	NOUN
cana-5228	140	31	5	5	NUM
cana-5228	140	32	can	can	AUX
cana-5228	140	33	be	be	AUX
cana-5228	140	34	seen	see	VERB
cana-5228	140	35	to	to	PART
cana-5228	140	36	vary	vary	VERB
cana-5228	140	37	depending	depend	VERB
cana-5228	140	38	on	on	ADP
cana-5228	140	39	the	the	DET
cana-5228	140	40	difficulty	difficulty	NOUN
cana-5228	140	41	level	level	NOUN
cana-5228	140	42	of	of	ADP
cana-5228	140	43	the	the	DET
cana-5228	140	44	questions	question	NOUN
cana-5228	140	45	.	.	PUNCT
cana-5228	141	1	based	base	VERB
cana-5228	141	2	on	on	ADP
cana-5228	141	3	the	the	DET
cana-5228	141	4	answer	answer	NOUN
cana-5228	141	5	sheet	sheet	NOUN
cana-5228	141	6	,	,	PUNCT
cana-5228	141	7	students	student	NOUN
cana-5228	141	8	increasingly	increasingly	ADV
cana-5228	141	9	understand	understand	VERB
cana-5228	141	10	the	the	DET
cana-5228	141	11	problem	problem	NOUN
cana-5228	141	12	of	of	ADP
cana-5228	141	13	the	the	DET
cana-5228	141	14	proof	proof	ADJ
cana-5228	141	15	process	process	NOUN
cana-5228	141	16	from	from	ADP
cana-5228	141	17	the	the	DET
cana-5228	141	18	dimension	dimension	NOUN
cana-5228	141	19	of	of	ADP
cana-5228	141	20	reading	read	VERB
cana-5228	141	21	the	the	DET
cana-5228	141	22	butt	butt	NOUN
cana-5228	141	23	and	and	CCONJ
cana-5228	141	24	the	the	DET
cana-5228	141	25	construction	construction	NOUN
cana-5228	141	26	of	of	ADP
cana-5228	141	27	evidence	evidence	NOUN
cana-5228	141	28	.	.	PUNCT
cana-5228	142	1	based	base	VERB
cana-5228	142	2	on	on	ADP
cana-5228	142	3	the	the	DET
cana-5228	142	4	results	result	NOUN
cana-5228	142	5	of	of	ADP
cana-5228	142	6	the	the	DET
cana-5228	142	7	proportion	proportion	NOUN
cana-5228	142	8	test	test	NOUN
cana-5228	142	9	,	,	PUNCT
cana-5228	142	10	the	the	DET
cana-5228	142	11	test	test	NOUN
cana-5228	142	12	of	of	ADP
cana-5228	142	13	one	one	NUM
cana-5228	142	14	sample	sample	NOUN
cana-5228	142	15	,	,	PUNCT
cana-5228	142	16	and	and	CCONJ
cana-5228	142	17	the	the	DET
cana-5228	142	18	results	result	NOUN
cana-5228	142	19	of	of	ADP
cana-5228	142	20	student	student	NOUN
cana-5228	142	21	assignments	assignment	NOUN
cana-5228	142	22	for	for	ADP
cana-5228	142	23	each	each	DET
cana-5228	142	24	sub	sub	NOUN
cana-5228	142	25	-	-	NOUN
cana-5228	142	26	material	material	ADJ
cana-5228	142	27	,	,	PUNCT
cana-5228	142	28	the	the	DET
cana-5228	142	29	experimental	experimental	ADJ
cana-5228	142	30	class	class	NOUN
cana-5228	142	31	can	can	AUX
cana-5228	142	32	be	be	AUX
cana-5228	142	33	said	say	VERB
cana-5228	142	34	to	to	PART
cana-5228	142	35	have	have	AUX
cana-5228	142	36	experienced	experience	VERB
cana-5228	142	37	completeness	completeness	NOUN
cana-5228	142	38	.	.	PUNCT
cana-5228	143	1	this	this	DET
cana-5228	143	2	communications	communication	NOUN
cana-5228	143	3	on	on	ADP
cana-5228	143	4	applied	apply	VERB
cana-5228	143	5	nonlinear	nonlinear	ADJ
cana-5228	143	6	analysis	analysis	NOUN
cana-5228	143	7	issn	issn	NOUN
cana-5228	143	8	:	:	PUNCT
cana-5228	143	9	1074	1074	NUM
cana-5228	143	10	-	-	PUNCT
cana-5228	143	11	133x	133x	NUM
cana-5228	143	12	vol	vol	NOUN
cana-5228	143	13	x	x	NOUN
cana-5228	143	14	no	no	INTJ
cana-5228	143	15	.	.	PUNCT
cana-5228	144	1	y	y	NOUN
cana-5228	144	2	(	(	PUNCT
cana-5228	144	3	20	20	NUM
cana-5228	144	4	-	-	PUNCT
cana-5228	144	5	-	-	PUNCT
cana-5228	144	6	)	)	PUNCT
cana-5228	144	7	1243	1243	NUM
cana-5228	144	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	144	9	completeness	completeness	NOUN
cana-5228	144	10	means	mean	VERB
cana-5228	144	11	that	that	SCONJ
cana-5228	144	12	the	the	DET
cana-5228	144	13	seven	seven	NUM
cana-5228	144	14	meetings	meeting	NOUN
cana-5228	144	15	can	can	AUX
cana-5228	144	16	be	be	AUX
cana-5228	144	17	said	say	VERB
cana-5228	144	18	to	to	PART
cana-5228	144	19	have	have	AUX
cana-5228	144	20	been	be	AUX
cana-5228	144	21	successful	successful	ADJ
cana-5228	144	22	.	.	PUNCT
cana-5228	145	1	this	this	DET
cana-5228	145	2	success	success	NOUN
cana-5228	145	3	is	be	AUX
cana-5228	145	4	thanks	thank	NOUN
cana-5228	145	5	to	to	ADP
cana-5228	145	6	the	the	DET
cana-5228	145	7	model	model	NOUN
cana-5228	145	8	used	use	VERB
cana-5228	145	9	and	and	CCONJ
cana-5228	145	10	the	the	DET
cana-5228	145	11	tools	tool	NOUN
cana-5228	145	12	used	use	VERB
cana-5228	145	13	so	so	SCONJ
cana-5228	145	14	that	that	SCONJ
cana-5228	145	15	the	the	DET
cana-5228	145	16	learning	learning	NOUN
cana-5228	145	17	has	have	AUX
cana-5228	145	18	met	meet	VERB
cana-5228	145	19	the	the	DET
cana-5228	145	20	credibility	credibility	NOUN
cana-5228	145	21	.	.	PUNCT
cana-5228	146	1	furthermore	furthermore	ADV
cana-5228	146	2	,	,	PUNCT
cana-5228	146	3	based	base	VERB
cana-5228	146	4	on	on	ADP
cana-5228	146	5	the	the	DET
cana-5228	146	6	results	result	NOUN
cana-5228	146	7	of	of	ADP
cana-5228	146	8	the	the	DET
cana-5228	146	9	pre	pre	NOUN
cana-5228	146	10	-	-	NOUN
cana-5228	146	11	test	test	NOUN
cana-5228	146	12	,	,	PUNCT
cana-5228	146	13	namely	namely	ADV
cana-5228	146	14	the	the	DET
cana-5228	146	15	initial	initial	ADJ
cana-5228	146	16	evidentiary	evidentiary	ADJ
cana-5228	146	17	ability	ability	NOUN
cana-5228	146	18	test	test	NOUN
cana-5228	146	19	,	,	PUNCT
cana-5228	146	20	the	the	DET
cana-5228	146	21	posttest	postt	ADJ
cana-5228	146	22	which	which	PRON
cana-5228	146	23	is	be	AUX
cana-5228	146	24	the	the	DET
cana-5228	146	25	final	final	ADJ
cana-5228	146	26	test	test	NOUN
cana-5228	146	27	of	of	ADP
cana-5228	146	28	evidentiary	evidentiary	ADJ
cana-5228	146	29	ability	ability	NOUN
cana-5228	146	30	,	,	PUNCT
cana-5228	146	31	and	and	CCONJ
cana-5228	146	32	the	the	DET
cana-5228	146	33	results	result	NOUN
cana-5228	146	34	of	of	ADP
cana-5228	146	35	the	the	DET
cana-5228	146	36	gain	gain	NOUN
cana-5228	146	37	test	test	NOUN
cana-5228	146	38	in	in	ADP
cana-5228	146	39	the	the	DET
cana-5228	146	40	experimental	experimental	ADJ
cana-5228	146	41	class	class	NOUN
cana-5228	146	42	and	and	CCONJ
cana-5228	146	43	control	control	NOUN
cana-5228	146	44	class	class	NOUN
cana-5228	146	45	.	.	PUNCT
cana-5228	147	1	the	the	DET
cana-5228	147	2	results	result	NOUN
cana-5228	147	3	of	of	ADP
cana-5228	147	4	the	the	DET
cana-5228	147	5	three	three	NUM
cana-5228	147	6	tests	test	NOUN
cana-5228	147	7	are	be	AUX
cana-5228	147	8	included	include	VERB
cana-5228	147	9	in	in	ADP
cana-5228	147	10	table	table	NOUN
cana-5228	147	11	6	6	NUM
cana-5228	147	12	with	with	ADP
cana-5228	147	13	descriptive	descriptive	ADJ
cana-5228	147	14	statistics	statistic	NOUN
cana-5228	147	15	as	as	SCONJ
cana-5228	147	16	follows	follow	VERB
cana-5228	147	17	:	:	PUNCT
cana-5228	147	18	table	table	NOUN
cana-5228	147	19	6	6	NUM
cana-5228	147	20	descriptive	descriptive	ADJ
cana-5228	147	21	statistics	statistic	NOUN
cana-5228	147	22	of	of	ADP
cana-5228	147	23	evidentiary	evidentiary	ADJ
cana-5228	147	24	ability	ability	NOUN
cana-5228	147	25	eksperim	eksperim	VERB
cana-5228	147	26	en	en	ADP
cana-5228	147	27	control	control	PROPN
cana-5228	147	28	pre	pre	PROPN
cana-5228	147	29	tes	tes	PROPN
cana-5228	147	30	pos	pos	NOUN
cana-5228	147	31	tes	tes	PROPN
cana-5228	147	32	gain	gain	VERB
cana-5228	147	33	pre	pre	ADJ
cana-5228	147	34	tes	tes	PROPN
cana-5228	147	35	pos	pos	NOUN
cana-5228	147	36	tes	tes	NOUN
cana-5228	147	37	gain	gain	VERB
cana-5228	147	38	standard	standard	ADJ
cana-5228	147	39	deviation	deviation	NOUN
cana-5228	147	40	4.78	4.78	NUM
cana-5228	147	41	4.13	4.13	NUM
cana-5228	147	42	0.11	0.11	NUM
cana-5228	147	43	5.09	5.09	NUM
cana-5228	147	44	9.89	9.89	NUM
cana-5228	147	45	0.14	0.14	NUM
cana-5228	147	46	mean	mean	NOUN
cana-5228	147	47	68.79	68.79	NUM
cana-5228	147	48	78.95	78.95	NUM
cana-5228	147	49	0.71	0.71	NUM
cana-5228	147	50	65.94	65.94	NUM
cana-5228	147	51	66.95	66.95	NUM
cana-5228	147	52	0.45	0.45	NUM
cana-5228	147	53	table	table	NOUN
cana-5228	147	54	6	6	NUM
cana-5228	147	55	shows	show	VERB
cana-5228	147	56	a	a	DET
cana-5228	147	57	very	very	ADV
cana-5228	147	58	significant	significant	ADJ
cana-5228	147	59	difference	difference	NOUN
cana-5228	147	60	between	between	ADP
cana-5228	147	61	the	the	DET
cana-5228	147	62	experimental	experimental	ADJ
cana-5228	147	63	class	class	NOUN
cana-5228	147	64	and	and	CCONJ
cana-5228	147	65	the	the	DET
cana-5228	147	66	control	control	NOUN
cana-5228	147	67	class	class	NOUN
cana-5228	147	68	.	.	PUNCT
cana-5228	148	1	where	where	SCONJ
cana-5228	148	2	the	the	DET
cana-5228	148	3	score	score	NOUN
cana-5228	148	4	in	in	ADP
cana-5228	148	5	the	the	DET
cana-5228	148	6	experment	experment	ADJ
cana-5228	148	7	class	class	NOUN
cana-5228	148	8	is	be	AUX
cana-5228	148	9	better	well	ADJ
cana-5228	148	10	than	than	ADP
cana-5228	148	11	in	in	ADP
cana-5228	148	12	the	the	DET
cana-5228	148	13	control	control	NOUN
cana-5228	148	14	class	class	NOUN
cana-5228	148	15	.	.	PUNCT
cana-5228	149	1	although	although	SCONJ
cana-5228	149	2	previously	previously	ADV
cana-5228	149	3	at	at	ADP
cana-5228	149	4	the	the	DET
cana-5228	149	5	pre	pre	ADJ
cana-5228	149	6	-	-	ADJ
cana-5228	149	7	test	test	ADJ
cana-5228	149	8	time	time	NOUN
cana-5228	149	9	,	,	PUNCT
cana-5228	149	10	namely	namely	ADV
cana-5228	149	11	during	during	ADP
cana-5228	149	12	the	the	DET
cana-5228	149	13	initial	initial	ADJ
cana-5228	149	14	ability	ability	NOUN
cana-5228	149	15	test	test	NOUN
cana-5228	149	16	,	,	PUNCT
cana-5228	149	17	the	the	DET
cana-5228	149	18	condition	condition	NOUN
cana-5228	149	19	of	of	ADP
cana-5228	149	20	the	the	DET
cana-5228	149	21	experimental	experimental	ADJ
cana-5228	149	22	class	class	NOUN
cana-5228	149	23	and	and	CCONJ
cana-5228	149	24	the	the	DET
cana-5228	149	25	control	control	NOUN
cana-5228	149	26	class	class	NOUN
cana-5228	149	27	was	be	AUX
cana-5228	149	28	homogeneous	homogeneous	ADJ
cana-5228	149	29	.	.	PUNCT
cana-5228	150	1	the	the	DET
cana-5228	150	2	difference	difference	NOUN
cana-5228	150	3	between	between	ADP
cana-5228	150	4	the	the	DET
cana-5228	150	5	pre	pre	NOUN
cana-5228	150	6	-	-	NOUN
cana-5228	150	7	test	test	NOUN
cana-5228	150	8	of	of	ADP
cana-5228	150	9	the	the	DET
cana-5228	150	10	experimental	experimental	ADJ
cana-5228	150	11	class	class	NOUN
cana-5228	150	12	and	and	CCONJ
cana-5228	150	13	the	the	DET
cana-5228	150	14	control	control	NOUN
cana-5228	150	15	class	class	NOUN
cana-5228	150	16	was	be	AUX
cana-5228	150	17	very	very	ADV
cana-5228	150	18	slim	slim	ADJ
cana-5228	150	19	but	but	CCONJ
cana-5228	150	20	had	have	VERB
cana-5228	150	21	no	no	DET
cana-5228	150	22	effect	effect	NOUN
cana-5228	150	23	.	.	PUNCT
cana-5228	151	1	however	however	ADV
cana-5228	151	2	,	,	PUNCT
cana-5228	151	3	when	when	SCONJ
cana-5228	151	4	viewing	view	VERB
cana-5228	151	5	the	the	DET
cana-5228	151	6	results	result	NOUN
cana-5228	151	7	of	of	ADP
cana-5228	151	8	the	the	DET
cana-5228	151	9	post	post	NOUN
cana-5228	151	10	-	-	NOUN
cana-5228	151	11	test	test	NOUN
cana-5228	151	12	and	and	CCONJ
cana-5228	151	13	the	the	DET
cana-5228	151	14	gain	gain	NOUN
cana-5228	151	15	test	test	NOUN
cana-5228	151	16	,	,	PUNCT
cana-5228	151	17	it	it	PRON
cana-5228	151	18	shows	show	VERB
cana-5228	151	19	a	a	DET
cana-5228	151	20	very	very	ADV
cana-5228	151	21	significant	significant	ADJ
cana-5228	151	22	difference	difference	NOUN
cana-5228	151	23	.	.	PUNCT
cana-5228	152	1	the	the	DET
cana-5228	152	2	experimental	experimental	ADJ
cana-5228	152	3	class	class	NOUN
cana-5228	152	4	seems	seem	VERB
cana-5228	152	5	to	to	PART
cana-5228	152	6	have	have	AUX
cana-5228	152	7	improved	improve	VERB
cana-5228	152	8	the	the	DET
cana-5228	152	9	ability	ability	NOUN
cana-5228	152	10	to	to	PART
cana-5228	152	11	prove	prove	VERB
cana-5228	152	12	.	.	PUNCT
cana-5228	153	1	with	with	ADP
cana-5228	153	2	the	the	DET
cana-5228	153	3	conditions	condition	NOUN
cana-5228	153	4	of	of	ADP
cana-5228	153	5	the	the	DET
cana-5228	153	6	experimental	experimental	ADJ
cana-5228	153	7	class	class	NOUN
cana-5228	153	8	that	that	PRON
cana-5228	153	9	uses	use	VERB
cana-5228	153	10	the	the	DET
cana-5228	153	11	right	right	ADJ
cana-5228	153	12	learning	learning	NOUN
cana-5228	153	13	model	model	NOUN
cana-5228	153	14	and	and	CCONJ
cana-5228	153	15	strategy	strategy	NOUN
cana-5228	153	16	,	,	PUNCT
cana-5228	153	17	it	it	PRON
cana-5228	153	18	turns	turn	VERB
cana-5228	153	19	out	out	ADP
cana-5228	153	20	that	that	SCONJ
cana-5228	153	21	it	it	PRON
cana-5228	153	22	can	can	AUX
cana-5228	153	23	increase	increase	VERB
cana-5228	153	24	the	the	DET
cana-5228	153	25	ability	ability	NOUN
cana-5228	153	26	to	to	PART
cana-5228	153	27	prove	prove	VERB
cana-5228	153	28	when	when	SCONJ
cana-5228	153	29	compared	compare	VERB
cana-5228	153	30	to	to	ADP
cana-5228	153	31	the	the	DET
cana-5228	153	32	previous	previous	ADJ
cana-5228	153	33	and	and	CCONJ
cana-5228	153	34	compared	compare	VERB
cana-5228	153	35	to	to	ADP
cana-5228	153	36	the	the	DET
cana-5228	153	37	experimental	experimental	ADJ
cana-5228	153	38	class	class	NOUN
cana-5228	153	39	.	.	PUNCT
cana-5228	154	1	furthermore	furthermore	ADV
cana-5228	154	2	,	,	PUNCT
cana-5228	154	3	whether	whether	SCONJ
cana-5228	154	4	there	there	PRON
cana-5228	154	5	is	be	VERB
cana-5228	154	6	a	a	DET
cana-5228	154	7	difference	difference	NOUN
cana-5228	154	8	in	in	ADP
cana-5228	154	9	the	the	DET
cana-5228	154	10	ability	ability	NOUN
cana-5228	154	11	to	to	PART
cana-5228	154	12	prove	prove	VERB
cana-5228	154	13	the	the	DET
cana-5228	154	14	end	end	NOUN
cana-5228	154	15	of	of	ADP
cana-5228	154	16	the	the	DET
cana-5228	154	17	experimental	experimental	ADJ
cana-5228	154	18	class	class	NOUN
cana-5228	154	19	compared	compare	VERB
cana-5228	154	20	to	to	ADP
cana-5228	154	21	the	the	DET
cana-5228	154	22	control	control	NOUN
cana-5228	154	23	class	class	NOUN
cana-5228	154	24	.	.	PUNCT
cana-5228	155	1	this	this	PRON
cana-5228	155	2	will	will	AUX
cana-5228	155	3	be	be	AUX
cana-5228	155	4	tested	test	VERB
cana-5228	155	5	by	by	ADP
cana-5228	155	6	an	an	DET
cana-5228	155	7	independent	independent	ADJ
cana-5228	155	8	test	test	NOUN
cana-5228	155	9	with	with	ADP
cana-5228	155	10	the	the	DET
cana-5228	155	11	results	result	NOUN
cana-5228	155	12	contained	contain	VERB
cana-5228	155	13	in	in	ADP
cana-5228	155	14	table	table	NOUN
cana-5228	155	15	7	7	NUM
cana-5228	155	16	below	below	ADV
cana-5228	155	17	:	:	PUNCT
cana-5228	155	18	table	table	NOUN
cana-5228	155	19	7	7	NUM
cana-5228	155	20	independent	independent	ADJ
cana-5228	155	21	samples	sample	NOUN
cana-5228	155	22	test	test	NOUN
cana-5228	155	23	levene	levene	NOUN
cana-5228	155	24	's	's	PART
cana-5228	155	25	test	test	NOUN
cana-5228	155	26	for	for	ADP
cana-5228	155	27	equality	equality	NOUN
cana-5228	155	28	of	of	ADP
cana-5228	155	29	variances	variance	NOUN
cana-5228	155	30	t	t	NOUN
cana-5228	155	31	-	-	PUNCT
cana-5228	155	32	test	test	NOUN
cana-5228	155	33	for	for	ADP
cana-5228	155	34	equality	equality	NOUN
cana-5228	155	35	of	of	ADP
cana-5228	155	36	means	means	PROPN
cana-5228	155	37	f	f	PROPN
cana-5228	155	38	sig	sig	PROPN
cana-5228	155	39	.	.	PUNCT
cana-5228	156	1	t	t	PROPN
cana-5228	156	2	df	df	PROPN
cana-5228	156	3	sig	sig	PROPN
cana-5228	156	4	.	.	PUNCT
cana-5228	157	1	(	(	PUNCT
cana-5228	157	2	2tailed	2tailed	NUM
cana-5228	157	3	)	)	PUNCT
cana-5228	157	4	mean	mean	PROPN
cana-5228	157	5	differenc	differenc	PROPN
cana-5228	157	6	e	e	NOUN
cana-5228	157	7	std	std	PROPN
cana-5228	157	8	.	.	PROPN
cana-5228	157	9	error	error	NOUN
cana-5228	157	10	differenc	differenc	NOUN
cana-5228	157	11	e	e	NOUN
cana-5228	157	12	95	95	NUM
cana-5228	157	13	%	%	NOUN
cana-5228	157	14	confidence	confidence	NOUN
cana-5228	157	15	interval	interval	NOUN
cana-5228	157	16	of	of	ADP
cana-5228	157	17	the	the	DET
cana-5228	157	18	difference	difference	NOUN
cana-5228	157	19	lower	low	ADJ
cana-5228	157	20	upper	upper	ADJ
cana-5228	157	21	akhir_ps	akhir_p	NOUN
cana-5228	158	1	_	_	PUNCT
cana-5228	158	2	pr	pr	VERB
cana-5228	158	3	equal	equal	ADJ
cana-5228	158	4	variances	variance	NOUN
cana-5228	158	5	assumed	assume	VERB
cana-5228	158	6	,	,	PUNCT
cana-5228	158	7	865	865	NUM
cana-5228	158	8	,	,	PUNCT
cana-5228	158	9	358	358	NUM
cana-5228	158	10	2,704	2,704	NUM
cana-5228	158	11	60	60	NUM
cana-5228	158	12	,	,	PUNCT
cana-5228	158	13	010	010	NUM
cana-5228	158	14	2,06493	2,06493	NUM
cana-5228	158	15	,	,	PUNCT
cana-5228	158	16	76375	76375	NUM
cana-5228	158	17	,	,	PUNCT
cana-5228	158	18	51881	51881	NUM
cana-5228	158	19	3,61106	3,61106	PRON
cana-5228	158	20	equal	equal	ADJ
cana-5228	158	21	variances	variance	NOUN
cana-5228	158	22	are	be	AUX
cana-5228	158	23	not	not	PART
cana-5228	158	24	assumed	assume	VERB
cana-5228	158	25	.	.	PUNCT
cana-5228	159	1	2,855	2,855	NUM
cana-5228	159	2	34,601	34,601	NUM
cana-5228	159	3	,	,	PUNCT
cana-5228	159	4	007	007	NUM
cana-5228	159	5	2,06493	2,06493	PROPN
cana-5228	159	6	,	,	PUNCT
cana-5228	159	7	72317	72317	NUM
cana-5228	159	8	,	,	PUNCT
cana-5228	159	9	59622	59622	NUM
cana-5228	159	10	3,53364	3,53364	NOUN
cana-5228	159	11	furthermore	furthermore	ADV
cana-5228	159	12	,	,	PUNCT
cana-5228	159	13	to	to	PART
cana-5228	159	14	compare	compare	VERB
cana-5228	159	15	the	the	DET
cana-5228	159	16	results	result	NOUN
cana-5228	159	17	of	of	ADP
cana-5228	159	18	the	the	DET
cana-5228	159	19	evidentiary	evidentiary	ADJ
cana-5228	159	20	ability	ability	NOUN
cana-5228	159	21	test	test	NOUN
cana-5228	159	22	in	in	ADP
cana-5228	159	23	the	the	DET
cana-5228	159	24	experimental	experimental	ADJ
cana-5228	159	25	class	class	NOUN
cana-5228	159	26	with	with	ADP
cana-5228	159	27	the	the	DET
cana-5228	159	28	control	control	NOUN
cana-5228	159	29	class	class	NOUN
cana-5228	159	30	with	with	ADP
cana-5228	159	31	the	the	DET
cana-5228	159	32	t	t	NOUN
cana-5228	159	33	-	-	PUNCT
cana-5228	159	34	test	test	NOUN
cana-5228	159	35	for	for	ADP
cana-5228	159	36	equality	equality	NOUN
cana-5228	159	37	of	of	ADP
cana-5228	159	38	means	mean	NOUN
cana-5228	159	39	obtained	obtain	VERB
cana-5228	159	40	sig	sig	NOUN
cana-5228	159	41	=	=	PUNCT
cana-5228	159	42	0.01	0.01	NUM
cana-5228	159	43	<	<	X
cana-5228	159	44	0.05	0.05	NUM
cana-5228	159	45	,	,	PUNCT
cana-5228	159	46	meaning	mean	VERB
cana-5228	159	47	that	that	SCONJ
cana-5228	159	48	the	the	DET
cana-5228	159	49	results	result	NOUN
cana-5228	159	50	of	of	ADP
cana-5228	159	51	the	the	DET
cana-5228	159	52	evidentiary	evidentiary	ADJ
cana-5228	159	53	ability	ability	NOUN
cana-5228	159	54	in	in	ADP
cana-5228	159	55	the	the	DET
cana-5228	159	56	experimental	experimental	ADJ
cana-5228	159	57	class	class	NOUN
cana-5228	159	58	are	be	AUX
cana-5228	159	59	better	well	ADJ
cana-5228	159	60	than	than	ADP
cana-5228	159	61	the	the	DET
cana-5228	159	62	control	control	NOUN
cana-5228	159	63	class	class	NOUN
cana-5228	159	64	.	.	PUNCT
cana-5228	160	1	because	because	SCONJ
cana-5228	160	2	the	the	DET
cana-5228	160	3	four	four	NUM
cana-5228	160	4	tests	test	NOUN
cana-5228	160	5	are	be	AUX
cana-5228	160	6	met	meet	VERB
cana-5228	160	7	,	,	PUNCT
cana-5228	160	8	the	the	DET
cana-5228	160	9	use	use	NOUN
cana-5228	160	10	of	of	ADP
cana-5228	160	11	the	the	DET
cana-5228	160	12	guided	guide	VERB
cana-5228	160	13	discovery	discovery	NOUN
cana-5228	160	14	learning	learn	VERB
cana-5228	160	15	learning	learn	VERB
cana-5228	160	16	model	model	NOUN
cana-5228	160	17	with	with	ADP
cana-5228	160	18	the	the	DET
cana-5228	160	19	mathematical	mathematical	ADJ
cana-5228	160	20	working	working	NOUN
cana-5228	160	21	space	space	NOUN
cana-5228	160	22	strategy	strategy	NOUN
cana-5228	160	23	can	can	AUX
cana-5228	160	24	be	be	AUX
cana-5228	160	25	said	say	VERB
cana-5228	160	26	to	to	PART
cana-5228	160	27	be	be	AUX
cana-5228	160	28	complete	complete	ADJ
cana-5228	160	29	.	.	PUNCT
cana-5228	161	1	this	this	PRON
cana-5228	161	2	means	mean	VERB
cana-5228	161	3	that	that	SCONJ
cana-5228	161	4	some	some	DET
cana-5228	161	5	students	student	NOUN
cana-5228	161	6	have	have	AUX
cana-5228	161	7	improved	improve	VERB
cana-5228	161	8	their	their	PRON
cana-5228	161	9	proof	proof	NOUN
cana-5228	161	10	skills	skill	NOUN
cana-5228	161	11	.	.	PUNCT
cana-5228	162	1	this	this	PRON
cana-5228	162	2	can	can	AUX
cana-5228	162	3	be	be	AUX
cana-5228	162	4	seen	see	VERB
cana-5228	162	5	from	from	ADP
cana-5228	162	6	the	the	DET
cana-5228	162	7	results	result	NOUN
cana-5228	162	8	of	of	ADP
cana-5228	162	9	the	the	DET
cana-5228	162	10	final	final	ADJ
cana-5228	162	11	test	test	NOUN
cana-5228	162	12	of	of	ADP
cana-5228	162	13	evidentiary	evidentiary	ADJ
cana-5228	162	14	ability	ability	NOUN
cana-5228	162	15	,	,	PUNCT
cana-5228	162	16	namely	namely	ADV
cana-5228	162	17	,	,	PUNCT
cana-5228	162	18	students	student	NOUN
cana-5228	162	19	can	can	AUX
cana-5228	162	20	communications	communication	NOUN
cana-5228	162	21	on	on	ADP
cana-5228	162	22	applied	apply	VERB
cana-5228	162	23	nonlinear	nonlinear	ADJ
cana-5228	162	24	analysis	analysis	NOUN
cana-5228	162	25	issn	issn	NOUN
cana-5228	162	26	:	:	PUNCT
cana-5228	162	27	1074	1074	NUM
cana-5228	162	28	-	-	PUNCT
cana-5228	162	29	133x	133x	NUM
cana-5228	162	30	vol	vol	NOUN
cana-5228	162	31	x	x	NOUN
cana-5228	162	32	no	no	INTJ
cana-5228	162	33	.	.	PUNCT
cana-5228	163	1	y	y	NOUN
cana-5228	163	2	(	(	PUNCT
cana-5228	163	3	20	20	NUM
cana-5228	163	4	-	-	PUNCT
cana-5228	163	5	-	-	PUNCT
cana-5228	163	6	)	)	PUNCT
cana-5228	163	7	1244	1244	NUM
cana-5228	164	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	164	2	understand	understand	VERB
cana-5228	164	3	the	the	DET
cana-5228	164	4	evidentiary	evidentiary	ADJ
cana-5228	164	5	questions	question	NOUN
cana-5228	164	6	given	give	VERB
cana-5228	164	7	,	,	PUNCT
cana-5228	164	8	prove	prove	VERB
cana-5228	164	9	the	the	DET
cana-5228	164	10	proof	proof	ADJ
cana-5228	164	11	questions	question	NOUN
cana-5228	164	12	with	with	ADP
cana-5228	164	13	the	the	DET
cana-5228	164	14	right	right	ADJ
cana-5228	164	15	steps	step	NOUN
cana-5228	164	16	,	,	PUNCT
cana-5228	164	17	can	can	AUX
cana-5228	164	18	trace	trace	VERB
cana-5228	164	19	the	the	DET
cana-5228	164	20	wrong	wrong	ADJ
cana-5228	164	21	evidentiary	evidentiary	ADJ
cana-5228	164	22	steps	step	NOUN
cana-5228	164	23	,	,	PUNCT
cana-5228	164	24	and	and	CCONJ
cana-5228	164	25	provide	provide	VERB
cana-5228	164	26	conclusions	conclusion	NOUN
cana-5228	164	27	correctly	correctly	ADV
cana-5228	164	28	.	.	PUNCT
cana-5228	165	1	students	student	NOUN
cana-5228	165	2	of	of	ADP
cana-5228	165	3	the	the	DET
cana-5228	165	4	mathematics	mathematics	PROPN
cana-5228	165	5	education	education	NOUN
cana-5228	165	6	study	study	NOUN
cana-5228	165	7	program	program	NOUN
cana-5228	165	8	at	at	ADP
cana-5228	165	9	tegal	tegal	ADJ
cana-5228	165	10	university	university	NOUN
cana-5228	165	11	,	,	PUNCT
cana-5228	165	12	after	after	ADP
cana-5228	165	13	attending	attend	VERB
cana-5228	165	14	lectures	lecture	NOUN
cana-5228	165	15	using	use	VERB
cana-5228	165	16	a	a	DET
cana-5228	165	17	guided	guide	VERB
cana-5228	165	18	discovery	discovery	NOUN
cana-5228	165	19	learning	learning	NOUN
cana-5228	165	20	model	model	NOUN
cana-5228	165	21	assisted	assist	VERB
cana-5228	165	22	by	by	ADP
cana-5228	165	23	worksheets	worksheet	NOUN
cana-5228	165	24	of	of	ADP
cana-5228	165	25	discussion	discussion	NOUN
cana-5228	165	26	materials	material	NOUN
cana-5228	165	27	with	with	ADP
cana-5228	165	28	mathematics	mathematics	NOUN
cana-5228	165	29	workspace	workspace	NOUN
cana-5228	165	30	strategies	strategy	NOUN
cana-5228	165	31	.	.	PUNCT
cana-5228	166	1	furthermore	furthermore	ADV
cana-5228	166	2	,	,	PUNCT
cana-5228	166	3	at	at	ADP
cana-5228	166	4	the	the	DET
cana-5228	166	5	final	final	ADJ
cana-5228	166	6	meeting	meeting	NOUN
cana-5228	166	7	,	,	PUNCT
cana-5228	166	8	the	the	DET
cana-5228	166	9	seventh	seventh	ADJ
cana-5228	166	10	was	be	AUX
cana-5228	166	11	given	give	VERB
cana-5228	166	12	a	a	DET
cana-5228	166	13	final	final	ADJ
cana-5228	166	14	test	test	NOUN
cana-5228	166	15	on	on	ADP
cana-5228	166	16	the	the	DET
cana-5228	166	17	problem	problem	NOUN
cana-5228	166	18	of	of	ADP
cana-5228	166	19	proving	prove	VERB
cana-5228	166	20	sequence	sequence	NOUN
cana-5228	166	21	material	material	NOUN
cana-5228	166	22	.	.	PUNCT
cana-5228	167	1	the	the	DET
cana-5228	167	2	test	test	NOUN
cana-5228	167	3	can	can	AUX
cana-5228	167	4	be	be	AUX
cana-5228	167	5	used	use	VERB
cana-5228	167	6	to	to	PART
cana-5228	167	7	determine	determine	VERB
cana-5228	167	8	the	the	DET
cana-5228	167	9	student	student	NOUN
cana-5228	167	10	's	's	PART
cana-5228	167	11	ability	ability	NOUN
cana-5228	167	12	in	in	ADP
cana-5228	167	13	the	the	DET
cana-5228	167	14	problem	problem	NOUN
cana-5228	167	15	of	of	ADP
cana-5228	167	16	proof	proof	NOUN
cana-5228	167	17	.	.	PUNCT
cana-5228	168	1	the	the	DET
cana-5228	168	2	results	result	NOUN
cana-5228	168	3	of	of	ADP
cana-5228	168	4	the	the	DET
cana-5228	168	5	evidentiary	evidentiary	ADJ
cana-5228	168	6	ability	ability	NOUN
cana-5228	168	7	test	test	NOUN
cana-5228	168	8	are	be	AUX
cana-5228	168	9	sorted	sort	VERB
cana-5228	168	10	from	from	ADP
cana-5228	168	11	the	the	DET
cana-5228	168	12	highest	high	ADJ
cana-5228	168	13	to	to	ADP
cana-5228	168	14	the	the	DET
cana-5228	168	15	lowest	low	ADJ
cana-5228	168	16	score	score	NOUN
cana-5228	168	17	.	.	PUNCT
cana-5228	169	1	the	the	DET
cana-5228	169	2	order	order	NOUN
cana-5228	169	3	of	of	ADP
cana-5228	169	4	results	result	NOUN
cana-5228	169	5	is	be	AUX
cana-5228	169	6	divided	divide	VERB
cana-5228	169	7	into	into	ADP
cana-5228	169	8	three	three	NUM
cana-5228	169	9	categories	category	NOUN
cana-5228	169	10	,	,	PUNCT
cana-5228	169	11	namely	namely	ADV
cana-5228	169	12	high	high	ADJ
cana-5228	169	13	,	,	PUNCT
cana-5228	169	14	medium	medium	ADJ
cana-5228	169	15	,	,	PUNCT
cana-5228	169	16	and	and	CCONJ
cana-5228	169	17	low	low	ADJ
cana-5228	169	18	categories	category	NOUN
cana-5228	169	19	.	.	PUNCT
cana-5228	170	1	each	each	DET
cana-5228	170	2	category	category	NOUN
cana-5228	170	3	is	be	AUX
cana-5228	170	4	taken	take	VERB
cana-5228	170	5	by	by	ADP
cana-5228	170	6	one	one	NUM
cana-5228	170	7	student	student	NOUN
cana-5228	170	8	.	.	PUNCT
cana-5228	171	1	based	base	VERB
cana-5228	171	2	on	on	ADP
cana-5228	171	3	the	the	DET
cana-5228	171	4	results	result	NOUN
cana-5228	171	5	of	of	ADP
cana-5228	171	6	observations	observation	NOUN
cana-5228	171	7	and	and	CCONJ
cana-5228	171	8	interviews	interview	NOUN
cana-5228	171	9	in	in	ADP
cana-5228	171	10	each	each	DET
cana-5228	171	11	category	category	NOUN
cana-5228	171	12	,	,	PUNCT
cana-5228	171	13	the	the	DET
cana-5228	171	14	following	follow	VERB
cana-5228	171	15	were	be	AUX
cana-5228	171	16	obtained	obtain	VERB
cana-5228	171	17	:	:	PUNCT
cana-5228	171	18	high	high	ADJ
cana-5228	171	19	category	category	NOUN
cana-5228	171	20	(	(	PUNCT
cana-5228	171	21	l	l	NOUN
cana-5228	171	22	)	)	PUNCT
cana-5228	171	23	based	base	VERB
cana-5228	171	24	on	on	ADP
cana-5228	171	25	observations	observation	NOUN
cana-5228	171	26	and	and	CCONJ
cana-5228	171	27	interviews	interview	NOUN
cana-5228	171	28	high	high	ADJ
cana-5228	171	29	category	category	NOUN
cana-5228	171	30	students	student	NOUN
cana-5228	171	31	feel	feel	VERB
cana-5228	171	32	happy	happy	ADJ
cana-5228	171	33	using	use	VERB
cana-5228	171	34	the	the	DET
cana-5228	171	35	newly	newly	ADV
cana-5228	171	36	felt	feel	VERB
cana-5228	171	37	learning	learning	NOUN
cana-5228	171	38	,	,	PUNCT
cana-5228	171	39	and	and	CCONJ
cana-5228	171	40	by	by	ADP
cana-5228	171	41	using	use	VERB
cana-5228	171	42	the	the	DET
cana-5228	171	43	discussion	discussion	NOUN
cana-5228	171	44	material	material	NOUN
cana-5228	171	45	worksheet	worksheet	NOUN
cana-5228	171	46	,	,	PUNCT
cana-5228	171	47	find	find	VERB
cana-5228	171	48	it	it	PRON
cana-5228	171	49	easy	easy	ADJ
cana-5228	171	50	to	to	PART
cana-5228	171	51	learn	learn	VERB
cana-5228	171	52	proof	proof	NOUN
cana-5228	171	53	.	.	PUNCT
cana-5228	172	1	in	in	ADP
cana-5228	172	2	this	this	DET
cana-5228	172	3	worksheet	worksheet	NOUN
cana-5228	172	4	,	,	PUNCT
cana-5228	172	5	students	student	NOUN
cana-5228	172	6	discuss	discuss	VERB
cana-5228	172	7	groups	group	NOUN
cana-5228	172	8	and	and	CCONJ
cana-5228	172	9	easily	easily	ADV
cana-5228	172	10	learn	learn	VERB
cana-5228	172	11	the	the	DET
cana-5228	172	12	concept	concept	NOUN
cana-5228	172	13	of	of	ADP
cana-5228	172	14	proof	proof	NOUN
cana-5228	172	15	.	.	PUNCT
cana-5228	173	1	students	student	NOUN
cana-5228	173	2	can	can	AUX
cana-5228	173	3	read	read	VERB
cana-5228	173	4	the	the	DET
cana-5228	173	5	evidence	evidence	NOUN
cana-5228	173	6	correctly	correctly	ADV
cana-5228	173	7	.	.	PUNCT
cana-5228	174	1	each	each	DET
cana-5228	174	2	definition	definition	NOUN
cana-5228	174	3	,	,	PUNCT
cana-5228	174	4	theorem	theorem	ADJ
cana-5228	174	5	,	,	PUNCT
cana-5228	174	6	lemma	lemma	PROPN
cana-5228	174	7	,	,	PUNCT
cana-5228	174	8	and	and	CCONJ
cana-5228	174	9	student	student	NOUN
cana-5228	174	10	proof	proof	NOUN
cana-5228	174	11	problem	problem	NOUN
cana-5228	174	12	on	on	ADP
cana-5228	174	13	the	the	DET
cana-5228	174	14	worksheet	worksheet	NOUN
cana-5228	174	15	students	student	NOUN
cana-5228	174	16	can	can	AUX
cana-5228	174	17	interpret	interpret	VERB
cana-5228	174	18	in	in	ADP
cana-5228	174	19	their	their	PRON
cana-5228	174	20	own	own	ADJ
cana-5228	174	21	language	language	NOUN
cana-5228	174	22	.	.	PUNCT
cana-5228	175	1	furthermore	furthermore	ADV
cana-5228	175	2	,	,	PUNCT
cana-5228	175	3	students	student	NOUN
cana-5228	175	4	can	can	AUX
cana-5228	175	5	construct	construct	VERB
cana-5228	175	6	evidence	evidence	NOUN
cana-5228	175	7	using	use	VERB
cana-5228	175	8	the	the	DET
cana-5228	175	9	strategies	strategy	NOUN
cana-5228	175	10	on	on	ADP
cana-5228	175	11	the	the	DET
cana-5228	175	12	worksheet	worksheet	NOUN
cana-5228	175	13	.	.	PUNCT
cana-5228	176	1	students	student	NOUN
cana-5228	176	2	already	already	ADV
cana-5228	176	3	know	know	VERB
cana-5228	176	4	the	the	DET
cana-5228	176	5	concepts	concept	NOUN
cana-5228	176	6	of	of	ADP
cana-5228	176	7	definitions	definition	NOUN
cana-5228	176	8	and	and	CCONJ
cana-5228	176	9	theorems	theorem	NOUN
cana-5228	176	10	so	so	SCONJ
cana-5228	176	11	that	that	SCONJ
cana-5228	176	12	students	student	NOUN
cana-5228	176	13	know	know	VERB
cana-5228	176	14	the	the	DET
cana-5228	176	15	steps	step	NOUN
cana-5228	176	16	of	of	ADP
cana-5228	176	17	proof	proof	NOUN
cana-5228	176	18	correctly	correctly	ADV
cana-5228	176	19	.	.	PUNCT
cana-5228	177	1	medium	medium	ADJ
cana-5228	177	2	category	category	NOUN
cana-5228	177	3	students	student	NOUN
cana-5228	177	4	(	(	PUNCT
cana-5228	177	5	m	m	NOUN
cana-5228	177	6	)	)	PUNCT
cana-5228	177	7	,	,	PUNCT
cana-5228	177	8	referring	refer	VERB
cana-5228	177	9	to	to	ADP
cana-5228	177	10	the	the	DET
cana-5228	177	11	results	result	NOUN
cana-5228	177	12	,	,	PUNCT
cana-5228	177	13	namely	namely	ADV
cana-5228	177	14	students	student	NOUN
cana-5228	177	15	in	in	ADP
cana-5228	177	16	the	the	DET
cana-5228	177	17	medium	medium	ADJ
cana-5228	177	18	category	category	NOUN
cana-5228	177	19	feel	feel	VERB
cana-5228	177	20	happy	happy	ADJ
cana-5228	177	21	learning	learning	NOUN
cana-5228	177	22	with	with	ADP
cana-5228	177	23	the	the	DET
cana-5228	177	24	newly	newly	ADV
cana-5228	177	25	used	use	VERB
cana-5228	177	26	learning	learning	NOUN
cana-5228	177	27	model	model	NOUN
cana-5228	177	28	but	but	CCONJ
cana-5228	177	29	still	still	ADV
cana-5228	177	30	ask	ask	VERB
cana-5228	177	31	to	to	PART
cana-5228	177	32	be	be	AUX
cana-5228	177	33	accompanied	accompany	VERB
cana-5228	177	34	by	by	ADP
cana-5228	177	35	lecturers	lecturer	NOUN
cana-5228	177	36	continuously	continuously	ADV
cana-5228	177	37	.	.	PUNCT
cana-5228	178	1	students	student	NOUN
cana-5228	178	2	'	'	PART
cana-5228	178	3	understanding	understanding	NOUN
cana-5228	178	4	of	of	ADP
cana-5228	178	5	the	the	DET
cana-5228	178	6	steps	step	NOUN
cana-5228	178	7	of	of	ADP
cana-5228	178	8	proof	proof	NOUN
cana-5228	178	9	and	and	CCONJ
cana-5228	178	10	the	the	DET
cana-5228	178	11	use	use	NOUN
cana-5228	178	12	of	of	ADP
cana-5228	178	13	definitions	definition	NOUN
cana-5228	178	14	to	to	PART
cana-5228	178	15	prove	prove	VERB
cana-5228	178	16	increases	increase	NOUN
cana-5228	178	17	.	.	PUNCT
cana-5228	179	1	as	as	ADP
cana-5228	179	2	for	for	ADP
cana-5228	179	3	examining	examine	VERB
cana-5228	179	4	a	a	DET
cana-5228	179	5	mathematical	mathematical	ADJ
cana-5228	179	6	statement	statement	NOUN
cana-5228	179	7	to	to	PART
cana-5228	179	8	determine	determine	VERB
cana-5228	179	9	truth	truth	NOUN
cana-5228	179	10	,	,	PUNCT
cana-5228	179	11	it	it	PRON
cana-5228	179	12	is	be	AUX
cana-5228	179	13	still	still	ADV
cana-5228	179	14	confused	confused	ADJ
cana-5228	179	15	.	.	PUNCT
cana-5228	180	1	also	also	ADV
cana-5228	180	2	,	,	PUNCT
cana-5228	180	3	have	have	AUX
cana-5228	180	4	been	be	AUX
cana-5228	180	5	able	able	ADJ
cana-5228	180	6	to	to	PART
cana-5228	180	7	master	master	VERB
cana-5228	180	8	the	the	DET
cana-5228	180	9	evidence	evidence	NOUN
cana-5228	180	10	steps	step	NOUN
cana-5228	180	11	provided	provide	VERB
cana-5228	180	12	to	to	PART
cana-5228	180	13	obtain	obtain	VERB
cana-5228	180	14	valid	valid	ADJ
cana-5228	180	15	grain	grain	NOUN
cana-5228	180	16	construction	construction	NOUN
cana-5228	180	17	.	.	PUNCT
cana-5228	181	1	however	however	ADV
cana-5228	181	2	,	,	PUNCT
cana-5228	181	3	it	it	PRON
cana-5228	181	4	is	be	AUX
cana-5228	181	5	not	not	PART
cana-5228	181	6	yet	yet	ADV
cana-5228	181	7	confident	confident	ADJ
cana-5228	181	8	to	to	PART
cana-5228	181	9	use	use	VERB
cana-5228	181	10	premise	premise	NOUN
cana-5228	181	11	,	,	PUNCT
cana-5228	181	12	definitions	definition	NOUN
cana-5228	181	13	,	,	PUNCT
cana-5228	181	14	or	or	CCONJ
cana-5228	181	15	statement	statement	NOUN
cana-5228	181	16	-	-	PUNCT
cana-5228	181	17	related	relate	VERB
cana-5228	181	18	theorems	theorem	NOUN
cana-5228	181	19	to	to	PART
cana-5228	181	20	build	build	VERB
cana-5228	181	21	proof	proof	NOUN
cana-5228	181	22	.	.	PUNCT
cana-5228	182	1	students	student	NOUN
cana-5228	182	2	of	of	ADP
cana-5228	182	3	the	the	DET
cana-5228	182	4	lower	low	ADJ
cana-5228	182	5	category	category	NOUN
cana-5228	182	6	(	(	PUNCT
cana-5228	182	7	s	s	X
cana-5228	182	8	)	)	PUNCT
cana-5228	182	9	obtained	obtain	VERB
cana-5228	182	10	the	the	DET
cana-5228	182	11	results	result	NOUN
cana-5228	182	12	feeling	feel	VERB
cana-5228	182	13	happy	happy	ADJ
cana-5228	182	14	with	with	ADP
cana-5228	182	15	the	the	DET
cana-5228	182	16	newly	newly	ADV
cana-5228	182	17	used	use	VERB
cana-5228	182	18	learning	learning	NOUN
cana-5228	182	19	,	,	PUNCT
cana-5228	182	20	but	but	CCONJ
cana-5228	182	21	understanding	understand	VERB
cana-5228	182	22	the	the	DET
cana-5228	182	23	worksheet	worksheet	NOUN
cana-5228	182	24	takes	take	VERB
cana-5228	182	25	longer	long	ADV
cana-5228	182	26	than	than	ADP
cana-5228	182	27	in	in	ADP
cana-5228	182	28	the	the	DET
cana-5228	182	29	two	two	NUM
cana-5228	182	30	categories	category	NOUN
cana-5228	182	31	.	.	PUNCT
cana-5228	183	1	in	in	ADP
cana-5228	183	2	this	this	DET
cana-5228	183	3	category	category	NOUN
cana-5228	183	4	,	,	PUNCT
cana-5228	183	5	understanding	understanding	NOUN
cana-5228	183	6	must	must	AUX
cana-5228	183	7	be	be	AUX
cana-5228	183	8	done	do	VERB
cana-5228	183	9	repeatedly	repeatedly	ADV
cana-5228	183	10	.	.	PUNCT
cana-5228	184	1	4	4	X
cana-5228	184	2	.	.	X
cana-5228	184	3	discussion	discussion	NOUN
cana-5228	184	4	this	this	DET
cana-5228	184	5	research	research	NOUN
cana-5228	184	6	was	be	AUX
cana-5228	184	7	conducted	conduct	VERB
cana-5228	184	8	on	on	ADP
cana-5228	184	9	the	the	DET
cana-5228	184	10	subject	subject	NOUN
cana-5228	184	11	of	of	ADP
cana-5228	184	12	real	real	ADJ
cana-5228	184	13	analysis	analysis	NOUN
cana-5228	184	14	for	for	ADP
cana-5228	184	15	sequences	sequence	NOUN
cana-5228	184	16	material	material	NOUN
cana-5228	184	17	.	.	PUNCT
cana-5228	185	1	in	in	ADP
cana-5228	185	2	sequences	sequence	NOUN
cana-5228	185	3	material	material	NOUN
cana-5228	185	4	,	,	PUNCT
cana-5228	185	5	the	the	DET
cana-5228	185	6	goal	goal	NOUN
cana-5228	185	7	is	be	AUX
cana-5228	185	8	to	to	PART
cana-5228	185	9	prove	prove	VERB
cana-5228	185	10	convergent	convergent	ADJ
cana-5228	185	11	sequences	sequence	NOUN
cana-5228	185	12	,	,	PUNCT
cana-5228	185	13	but	but	CCONJ
cana-5228	185	14	to	to	PART
cana-5228	185	15	prove	prove	VERB
cana-5228	185	16	convergent	convergent	ADJ
cana-5228	185	17	sequences	sequence	NOUN
cana-5228	185	18	in	in	ADP
cana-5228	185	19	bartle	bartle	PROPN
cana-5228	185	20	can	can	AUX
cana-5228	185	21	use	use	VERB
cana-5228	185	22	several	several	ADJ
cana-5228	185	23	theorems	theorem	NOUN
cana-5228	185	24	and	and	CCONJ
cana-5228	185	25	definitions	definition	NOUN
cana-5228	185	26	.	.	PUNCT
cana-5228	186	1	each	each	DET
cana-5228	186	2	meeting	meeting	NOUN
cana-5228	186	3	discusses	discuss	VERB
cana-5228	186	4	a	a	DET
cana-5228	186	5	theorem	theorem	NOUN
cana-5228	186	6	to	to	PART
cana-5228	186	7	prove	prove	VERB
cana-5228	186	8	the	the	DET
cana-5228	186	9	convergent	convergent	NOUN
cana-5228	186	10	sequence	sequence	NOUN
cana-5228	186	11	students	student	NOUN
cana-5228	186	12	can	can	AUX
cana-5228	186	13	understand	understand	VERB
cana-5228	186	14	and	and	CCONJ
cana-5228	186	15	can	can	AUX
cana-5228	186	16	prove	prove	VERB
cana-5228	186	17	problems	problem	NOUN
cana-5228	186	18	using	use	VERB
cana-5228	186	19	the	the	DET
cana-5228	186	20	theorem	theorem	NOUN
cana-5228	186	21	being	be	AUX
cana-5228	186	22	studied	study	VERB
cana-5228	186	23	.	.	PUNCT
cana-5228	187	1	however	however	ADV
cana-5228	187	2	,	,	PUNCT
cana-5228	187	3	after	after	ADP
cana-5228	187	4	all	all	DET
cana-5228	187	5	the	the	DET
cana-5228	187	6	theorems	theorem	NOUN
cana-5228	187	7	for	for	ADP
cana-5228	187	8	proving	prove	VERB
cana-5228	187	9	convergent	convergent	ADJ
cana-5228	187	10	sequences	sequence	NOUN
cana-5228	187	11	have	have	AUX
cana-5228	187	12	been	be	AUX
cana-5228	187	13	studied	study	VERB
cana-5228	187	14	,	,	PUNCT
cana-5228	187	15	a	a	DET
cana-5228	187	16	repetition	repetition	NOUN
cana-5228	187	17	is	be	AUX
cana-5228	187	18	held	hold	VERB
cana-5228	187	19	.	.	PUNCT
cana-5228	188	1	this	this	DET
cana-5228	188	2	test	test	NOUN
cana-5228	188	3	is	be	AUX
cana-5228	188	4	held	hold	VERB
cana-5228	188	5	at	at	ADP
cana-5228	188	6	the	the	DET
cana-5228	188	7	end	end	NOUN
cana-5228	188	8	of	of	ADP
cana-5228	188	9	the	the	DET
cana-5228	188	10	material	material	NOUN
cana-5228	188	11	.	.	PUNCT
cana-5228	189	1	then	then	ADV
cana-5228	189	2	,	,	PUNCT
cana-5228	189	3	when	when	SCONJ
cana-5228	189	4	working	work	VERB
cana-5228	189	5	on	on	ADP
cana-5228	189	6	the	the	DET
cana-5228	189	7	problem	problem	NOUN
cana-5228	189	8	,	,	PUNCT
cana-5228	189	9	students	student	NOUN
cana-5228	189	10	experience	experience	VERB
cana-5228	189	11	confusion	confusion	NOUN
cana-5228	189	12	in	in	ADP
cana-5228	189	13	determining	determine	VERB
cana-5228	189	14	which	which	PRON
cana-5228	189	15	theorem	theorem	NOUN
cana-5228	189	16	will	will	AUX
cana-5228	189	17	be	be	AUX
cana-5228	189	18	used	use	VERB
cana-5228	189	19	to	to	PART
cana-5228	189	20	solve	solve	VERB
cana-5228	189	21	the	the	DET
cana-5228	189	22	problem	problem	NOUN
cana-5228	189	23	.	.	PUNCT
cana-5228	190	1	students	student	NOUN
cana-5228	190	2	must	must	AUX
cana-5228	190	3	be	be	AUX
cana-5228	190	4	able	able	ADJ
cana-5228	190	5	to	to	PART
cana-5228	190	6	use	use	VERB
cana-5228	190	7	correctly	correctly	ADV
cana-5228	190	8	the	the	DET
cana-5228	190	9	theorems	theorem	NOUN
cana-5228	190	10	and	and	CCONJ
cana-5228	190	11	definitions	definition	NOUN
cana-5228	190	12	related	relate	VERB
cana-5228	190	13	to	to	ADP
cana-5228	190	14	the	the	DET
cana-5228	190	15	problem	problem	NOUN
cana-5228	190	16	they	they	PRON
cana-5228	190	17	are	be	AUX
cana-5228	190	18	working	work	VERB
cana-5228	190	19	on	on	ADP
cana-5228	190	20	.	.	PUNCT
cana-5228	191	1	to	to	PART
cana-5228	191	2	overcome	overcome	VERB
cana-5228	191	3	this	this	PRON
cana-5228	191	4	,	,	PUNCT
cana-5228	191	5	a	a	DET
cana-5228	191	6	worksheet	worksheet	NOUN
cana-5228	191	7	of	of	ADP
cana-5228	191	8	discussion	discussion	NOUN
cana-5228	191	9	material	material	NOUN
cana-5228	191	10	was	be	AUX
cana-5228	191	11	made	make	VERB
cana-5228	191	12	with	with	ADP
cana-5228	191	13	a	a	DET
cana-5228	191	14	mathematical	mathematical	ADJ
cana-5228	191	15	working	working	NOUN
cana-5228	191	16	space	space	NOUN
cana-5228	191	17	strategy	strategy	NOUN
cana-5228	191	18	then	then	ADV
cana-5228	191	19	the	the	DET
cana-5228	191	20	learning	learning	NOUN
cana-5228	191	21	process	process	NOUN
cana-5228	191	22	used	use	VERB
cana-5228	191	23	the	the	DET
cana-5228	191	24	guided	guide	VERB
cana-5228	191	25	discovery	discovery	NOUN
cana-5228	191	26	learning	learning	NOUN
cana-5228	191	27	model	model	NOUN
cana-5228	191	28	.	.	PUNCT
cana-5228	192	1	learning	learn	VERB
cana-5228	192	2	with	with	ADP
cana-5228	192	3	the	the	DET
cana-5228	192	4	guided	guide	VERB
cana-5228	192	5	discovery	discovery	NOUN
cana-5228	192	6	learning	learning	NOUN
cana-5228	192	7	model	model	NOUN
cana-5228	192	8	makes	make	VERB
cana-5228	192	9	the	the	DET
cana-5228	192	10	student	student	NOUN
cana-5228	192	11	environment	environment	NOUN
cana-5228	192	12	more	more	ADV
cana-5228	192	13	active	active	ADJ
cana-5228	192	14	.	.	PUNCT
cana-5228	193	1	this	this	DET
cana-5228	193	2	learning	learn	VERB
cana-5228	193	3	model	model	NOUN
cana-5228	193	4	encourages	encourage	VERB
cana-5228	193	5	students	student	NOUN
cana-5228	193	6	to	to	PART
cana-5228	193	7	collaborate	collaborate	VERB
cana-5228	193	8	in	in	ADP
cana-5228	193	9	solving	solve	VERB
cana-5228	193	10	problems	problem	NOUN
cana-5228	193	11	in	in	ADP
cana-5228	193	12	real	real	ADJ
cana-5228	193	13	analysis	analysis	NOUN
cana-5228	193	14	learning	learn	VERB
cana-5228	193	15	.	.	PUNCT
cana-5228	194	1	this	this	PRON
cana-5228	194	2	is	be	AUX
cana-5228	194	3	in	in	ADP
cana-5228	194	4	line	line	NOUN
cana-5228	194	5	with	with	ADP
cana-5228	194	6	several	several	ADJ
cana-5228	194	7	studies	study	NOUN
cana-5228	194	8	that	that	PRON
cana-5228	194	9	use	use	VERB
cana-5228	194	10	the	the	DET
cana-5228	194	11	guided	guide	VERB
cana-5228	194	12	discovery	discovery	NOUN
cana-5228	194	13	learning	learning	NOUN
cana-5228	194	14	model	model	NOUN
cana-5228	194	15	in	in	ADP
cana-5228	194	16	learning	learn	VERB
cana-5228	194	17	exact	exact	ADJ
cana-5228	194	18	sciences	science	NOUN
cana-5228	194	19	communications	communication	NOUN
cana-5228	194	20	on	on	ADP
cana-5228	194	21	applied	apply	VERB
cana-5228	194	22	nonlinear	nonlinear	ADJ
cana-5228	194	23	analysis	analysis	NOUN
cana-5228	194	24	issn	issn	NOUN
cana-5228	194	25	:	:	PUNCT
cana-5228	194	26	1074	1074	NUM
cana-5228	194	27	-	-	PUNCT
cana-5228	194	28	133x	133x	NUM
cana-5228	194	29	vol	vol	NOUN
cana-5228	194	30	x	x	NOUN
cana-5228	194	31	no	no	INTJ
cana-5228	194	32	.	.	PUNCT
cana-5228	195	1	y	y	NOUN
cana-5228	195	2	(	(	PUNCT
cana-5228	195	3	20	20	NUM
cana-5228	195	4	-	-	PUNCT
cana-5228	195	5	-	-	PUNCT
cana-5228	195	6	)	)	PUNCT
cana-5228	195	7	1245	1245	NUM
cana-5228	195	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	195	9	to	to	PART
cana-5228	195	10	make	make	VERB
cana-5228	195	11	students	student	NOUN
cana-5228	195	12	active	active	ADJ
cana-5228	195	13	and	and	CCONJ
cana-5228	195	14	improve	improve	VERB
cana-5228	195	15	their	their	PRON
cana-5228	195	16	learning	learn	VERB
cana-5228	195	17	achievement	achievement	NOUN
cana-5228	196	1	[	[	X
cana-5228	196	2	25	25	NUM
cana-5228	196	3	]	]	PUNCT
cana-5228	196	4	,	,	PUNCT
cana-5228	197	1	[	[	X
cana-5228	197	2	28	28	NUM
cana-5228	197	3	]	]	PUNCT
cana-5228	197	4	,	,	PUNCT
cana-5228	198	1	[	[	X
cana-5228	198	2	40	40	NUM
cana-5228	198	3	]	]	PUNCT
cana-5228	198	4	,	,	PUNCT
cana-5228	199	1	[	[	X
cana-5228	199	2	41	41	NUM
cana-5228	199	3	]	]	PUNCT
cana-5228	199	4	.	.	PUNCT
cana-5228	200	1	likewise	likewise	ADV
cana-5228	200	2	,	,	PUNCT
cana-5228	200	3	in	in	ADP
cana-5228	200	4	learning	learn	VERB
cana-5228	200	5	real	real	ADJ
cana-5228	200	6	analysis	analysis	NOUN
cana-5228	200	7	with	with	ADP
cana-5228	200	8	the	the	DET
cana-5228	200	9	discovery	discovery	NOUN
cana-5228	200	10	method	method	NOUN
cana-5228	200	11	,	,	PUNCT
cana-5228	200	12	encouraging	encourage	VERB
cana-5228	200	13	students	student	NOUN
cana-5228	200	14	to	to	PART
cana-5228	200	15	be	be	AUX
cana-5228	200	16	more	more	ADV
cana-5228	200	17	active	active	ADJ
cana-5228	200	18	in	in	ADP
cana-5228	200	19	proof	proof	NOUN
cana-5228	200	20	learning	learn	VERB
cana-5228	200	21	[	[	X
cana-5228	200	22	42	42	NUM
cana-5228	200	23	]	]	PUNCT
cana-5228	200	24	.	.	PUNCT
cana-5228	201	1	likewise	likewise	ADV
cana-5228	201	2	,	,	PUNCT
cana-5228	201	3	as	as	SCONJ
cana-5228	201	4	has	have	AUX
cana-5228	201	5	been	be	AUX
cana-5228	201	6	done	do	VERB
cana-5228	201	7	[	[	X
cana-5228	201	8	43	43	NUM
cana-5228	201	9	]	]	PUNCT
cana-5228	201	10	,	,	PUNCT
cana-5228	201	11	real	real	ADJ
cana-5228	201	12	analysis	analysis	NOUN
cana-5228	201	13	learning	learn	VERB
cana-5228	201	14	with	with	ADP
cana-5228	201	15	the	the	DET
cana-5228	201	16	guided	guide	VERB
cana-5228	201	17	discovery	discovery	NOUN
cana-5228	201	18	learning	learning	NOUN
cana-5228	201	19	model	model	NOUN
cana-5228	201	20	obtained	obtain	VERB
cana-5228	201	21	by	by	ADP
cana-5228	201	22	students	student	NOUN
cana-5228	201	23	successfully	successfully	ADV
cana-5228	201	24	understand	understand	VERB
cana-5228	201	25	the	the	DET
cana-5228	201	26	concepts	concept	NOUN
cana-5228	201	27	in	in	ADP
cana-5228	201	28	real	real	ADJ
cana-5228	201	29	analysis	analysis	NOUN
cana-5228	201	30	.	.	PUNCT
cana-5228	202	1	so	so	ADV
cana-5228	202	2	far	far	ADV
cana-5228	202	3	,	,	PUNCT
cana-5228	202	4	students	student	NOUN
cana-5228	202	5	studying	study	VERB
cana-5228	202	6	real	real	ADJ
cana-5228	202	7	analysis	analysis	NOUN
cana-5228	202	8	feel	feel	VERB
cana-5228	202	9	confused	confused	ADJ
cana-5228	202	10	,	,	PUNCT
cana-5228	202	11	but	but	CCONJ
cana-5228	202	12	with	with	ADP
cana-5228	202	13	the	the	DET
cana-5228	202	14	worksheet	worksheet	NOUN
cana-5228	202	15	discussion	discussion	NOUN
cana-5228	202	16	material	material	NOUN
cana-5228	202	17	prepared	prepare	VERB
cana-5228	202	18	with	with	ADP
cana-5228	202	19	the	the	DET
cana-5228	202	20	mathematical	mathematical	ADJ
cana-5228	202	21	working	working	NOUN
cana-5228	202	22	space	space	NOUN
cana-5228	202	23	strategy	strategy	NOUN
cana-5228	202	24	,	,	PUNCT
cana-5228	202	25	the	the	DET
cana-5228	202	26	burden	burden	NOUN
cana-5228	202	27	is	be	AUX
cana-5228	202	28	lost	lose	VERB
cana-5228	202	29	.	.	PUNCT
cana-5228	203	1	true	true	ADJ
cana-5228	203	2	also	also	ADV
cana-5228	203	3	the	the	DET
cana-5228	203	4	statement	statement	NOUN
cana-5228	203	5	[	[	X
cana-5228	203	6	44	44	NUM
cana-5228	203	7	]	]	PUNCT
cana-5228	203	8	to	to	PART
cana-5228	203	9	build	build	VERB
cana-5228	203	10	ease	ease	NOUN
cana-5228	203	11	in	in	ADP
cana-5228	203	12	learning	learn	VERB
cana-5228	203	13	concepts	concept	NOUN
cana-5228	203	14	and	and	CCONJ
cana-5228	203	15	fun	fun	NOUN
cana-5228	203	16	learning	learning	NOUN
cana-5228	203	17	needs	need	VERB
cana-5228	203	18	a	a	DET
cana-5228	203	19	guide	guide	NOUN
cana-5228	203	20	.	.	PUNCT
cana-5228	204	1	this	this	DET
cana-5228	204	2	discussion	discussion	NOUN
cana-5228	204	3	material	material	NOUN
cana-5228	204	4	worksheet	worksheet	NOUN
cana-5228	204	5	prepared	prepare	VERB
cana-5228	204	6	with	with	ADP
cana-5228	204	7	a	a	DET
cana-5228	204	8	mathematical	mathematical	ADJ
cana-5228	204	9	working	working	NOUN
cana-5228	204	10	space	space	NOUN
cana-5228	204	11	strategy	strategy	NOUN
cana-5228	204	12	makes	make	VERB
cana-5228	204	13	it	it	PRON
cana-5228	204	14	easier	easy	ADJ
cana-5228	204	15	for	for	SCONJ
cana-5228	204	16	students	student	NOUN
cana-5228	204	17	to	to	PART
cana-5228	204	18	learn	learn	VERB
cana-5228	204	19	real	real	ADJ
cana-5228	204	20	analysis	analysis	NOUN
cana-5228	204	21	.	.	PUNCT
cana-5228	205	1	because	because	SCONJ
cana-5228	205	2	in	in	ADP
cana-5228	205	3	it	it	PRON
cana-5228	205	4	,	,	PUNCT
cana-5228	205	5	every	every	DET
cana-5228	205	6	definition	definition	NOUN
cana-5228	205	7	,	,	PUNCT
cana-5228	205	8	theorem	theorem	ADJ
cana-5228	205	9	,	,	PUNCT
cana-5228	205	10	lemma	lemma	PROPN
cana-5228	205	11	,	,	PUNCT
cana-5228	205	12	and	and	CCONJ
cana-5228	205	13	related	related	ADJ
cana-5228	205	14	problem	problem	NOUN
cana-5228	205	15	helps	help	VERB
cana-5228	205	16	students	student	NOUN
cana-5228	205	17	to	to	PART
cana-5228	205	18	interpret	interpret	VERB
cana-5228	205	19	it	it	PRON
cana-5228	205	20	in	in	ADP
cana-5228	205	21	their	their	PRON
cana-5228	205	22	language	language	NOUN
cana-5228	205	23	.	.	PUNCT
cana-5228	206	1	the	the	DET
cana-5228	206	2	worksheet	worksheet	NOUN
cana-5228	206	3	also	also	ADV
cana-5228	206	4	helps	help	VERB
cana-5228	206	5	students	student	NOUN
cana-5228	206	6	construct	construct	VERB
cana-5228	206	7	evidence	evidence	NOUN
cana-5228	206	8	and	and	CCONJ
cana-5228	206	9	validate	validate	VERB
cana-5228	206	10	evidence	evidence	NOUN
cana-5228	206	11	.	.	PUNCT
cana-5228	207	1	the	the	DET
cana-5228	207	2	use	use	NOUN
cana-5228	207	3	of	of	ADP
cana-5228	207	4	the	the	DET
cana-5228	207	5	guided	guide	VERB
cana-5228	207	6	discovery	discovery	NOUN
cana-5228	207	7	learning	learn	VERB
cana-5228	207	8	learning	learn	VERB
cana-5228	207	9	model	model	NOUN
cana-5228	207	10	is	be	AUX
cana-5228	207	11	very	very	ADV
cana-5228	207	12	appropriate	appropriate	ADJ
cana-5228	207	13	in	in	ADP
cana-5228	207	14	real	real	ADJ
cana-5228	207	15	analysis	analysis	NOUN
cana-5228	207	16	learning	learn	VERB
cana-5228	207	17	.	.	PUNCT
cana-5228	208	1	this	this	DET
cana-5228	208	2	learning	learning	NOUN
cana-5228	208	3	model	model	NOUN
cana-5228	208	4	strongly	strongly	ADV
cana-5228	208	5	encourages	encourage	VERB
cana-5228	208	6	students	student	NOUN
cana-5228	208	7	to	to	PART
cana-5228	208	8	complete	complete	VERB
cana-5228	208	9	solutions	solution	NOUN
cana-5228	208	10	in	in	ADP
cana-5228	208	11	proof	proof	NOUN
cana-5228	208	12	.	.	PUNCT
cana-5228	209	1	the	the	DET
cana-5228	209	2	findings	finding	NOUN
cana-5228	209	3	of	of	ADP
cana-5228	209	4	the	the	DET
cana-5228	209	5	discussion	discussion	NOUN
cana-5228	209	6	material	material	NOUN
cana-5228	209	7	worksheet	worksheet	NOUN
cana-5228	209	8	with	with	ADP
cana-5228	209	9	this	this	DET
cana-5228	209	10	mathematical	mathematical	ADJ
cana-5228	209	11	working	working	NOUN
cana-5228	209	12	space	space	NOUN
cana-5228	209	13	strategy	strategy	NOUN
cana-5228	209	14	can	can	AUX
cana-5228	209	15	also	also	ADV
cana-5228	209	16	overcome	overcome	VERB
cana-5228	209	17	students	student	NOUN
cana-5228	209	18	'	'	PART
cana-5228	209	19	difficulties	difficulty	NOUN
cana-5228	209	20	in	in	ADP
cana-5228	209	21	learning	learn	VERB
cana-5228	209	22	proof	proof	NOUN
cana-5228	209	23	.	.	PUNCT
cana-5228	210	1	this	this	PRON
cana-5228	210	2	is	be	AUX
cana-5228	210	3	because	because	SCONJ
cana-5228	210	4	the	the	DET
cana-5228	210	5	worksheet	worksheet	NOUN
cana-5228	210	6	is	be	AUX
cana-5228	210	7	facilitated	facilitate	VERB
cana-5228	210	8	with	with	ADP
cana-5228	210	9	visualization	visualization	NOUN
cana-5228	210	10	,	,	PUNCT
cana-5228	210	11	construction	construction	NOUN
cana-5228	210	12	,	,	PUNCT
cana-5228	210	13	and	and	CCONJ
cana-5228	210	14	validation	validation	NOUN
cana-5228	210	15	.	.	PUNCT
cana-5228	211	1	the	the	DET
cana-5228	211	2	mathematical	mathematical	ADJ
cana-5228	211	3	working	working	NOUN
cana-5228	211	4	space	space	NOUN
cana-5228	211	5	strategy	strategy	NOUN
cana-5228	211	6	facilitates	facilitate	VERB
cana-5228	211	7	representation	representation	NOUN
cana-5228	211	8	-	-	PUNCT
cana-5228	211	9	visualization	visualization	NOUN
cana-5228	211	10	activities	activity	NOUN
cana-5228	211	11	and	and	CCONJ
cana-5228	211	12	construction	construction	NOUN
cana-5228	211	13	activities	activity	NOUN
cana-5228	211	14	to	to	PART
cana-5228	211	15	prove	prove	VERB
cana-5228	211	16	or	or	CCONJ
cana-5228	211	17	validate	validate	VERB
cana-5228	211	18	evidence	evidence	NOUN
cana-5228	211	19	.	.	PUNCT
cana-5228	212	1	this	this	DET
cana-5228	212	2	visualization	visualization	NOUN
cana-5228	212	3	makes	make	VERB
cana-5228	212	4	it	it	PRON
cana-5228	212	5	easier	easy	ADJ
cana-5228	212	6	for	for	SCONJ
cana-5228	212	7	students	student	NOUN
cana-5228	212	8	to	to	PART
cana-5228	212	9	understand	understand	VERB
cana-5228	212	10	concepts	concept	NOUN
cana-5228	212	11	/	/	SYM
cana-5228	212	12	definitions	definition	NOUN
cana-5228	212	13	.	.	PUNCT
cana-5228	213	1	mastery	mastery	NOUN
cana-5228	213	2	of	of	ADP
cana-5228	213	3	concepts	concept	NOUN
cana-5228	213	4	is	be	AUX
cana-5228	213	5	very	very	ADV
cana-5228	213	6	important	important	ADJ
cana-5228	213	7	in	in	ADP
cana-5228	213	8	real	real	ADJ
cana-5228	213	9	analysis	analysis	NOUN
cana-5228	213	10	.	.	PUNCT
cana-5228	214	1	the	the	DET
cana-5228	214	2	ability	ability	NOUN
cana-5228	214	3	to	to	PART
cana-5228	214	4	use	use	VERB
cana-5228	214	5	definitions	definition	NOUN
cana-5228	214	6	as	as	ADP
cana-5228	214	7	a	a	DET
cana-5228	214	8	basis	basis	NOUN
cana-5228	214	9	for	for	ADP
cana-5228	214	10	providing	provide	VERB
cana-5228	214	11	reasons	reason	NOUN
cana-5228	214	12	for	for	ADP
cana-5228	214	13	the	the	DET
cana-5228	214	14	correct	correct	ADJ
cana-5228	214	15	evidentiary	evidentiary	NOUN
cana-5228	214	16	steps	step	NOUN
cana-5228	214	17	or	or	CCONJ
cana-5228	214	18	the	the	DET
cana-5228	214	19	improvement	improvement	NOUN
cana-5228	214	20	of	of	ADP
cana-5228	214	21	symbols	symbol	NOUN
cana-5228	214	22	,	,	PUNCT
cana-5228	214	23	narratives	narrative	NOUN
cana-5228	214	24	,	,	PUNCT
cana-5228	214	25	and	and	CCONJ
cana-5228	214	26	premises	premise	NOUN
cana-5228	214	27	at	at	ADP
cana-5228	214	28	inappropriate	inappropriate	ADJ
cana-5228	214	29	stages	stage	NOUN
cana-5228	214	30	/	/	SYM
cana-5228	214	31	steps	step	NOUN
cana-5228	214	32	of	of	ADP
cana-5228	214	33	proof	proof	NOUN
cana-5228	214	34	.	.	PUNCT
cana-5228	215	1	if	if	SCONJ
cana-5228	215	2	students	student	NOUN
cana-5228	215	3	can	can	AUX
cana-5228	215	4	understand	understand	VERB
cana-5228	215	5	the	the	DET
cana-5228	215	6	definition	definition	NOUN
cana-5228	215	7	well	well	ADV
cana-5228	215	8	,	,	PUNCT
cana-5228	215	9	they	they	PRON
cana-5228	215	10	can	can	AUX
cana-5228	215	11	analyze	analyze	VERB
cana-5228	215	12	a	a	DET
cana-5228	215	13	mathematical	mathematical	ADJ
cana-5228	215	14	statement	statement	NOUN
cana-5228	215	15	to	to	PART
cana-5228	215	16	determine	determine	VERB
cana-5228	215	17	its	its	PRON
cana-5228	215	18	truth	truth	NOUN
cana-5228	215	19	or	or	CCONJ
cana-5228	215	20	to	to	PART
cana-5228	215	21	show	show	VERB
cana-5228	215	22	the	the	DET
cana-5228	215	23	error	error	NOUN
cana-5228	215	24	of	of	ADP
cana-5228	215	25	the	the	DET
cana-5228	215	26	statement	statement	NOUN
cana-5228	215	27	using	use	VERB
cana-5228	215	28	examples	example	NOUN
cana-5228	215	29	of	of	ADP
cana-5228	215	30	denial	denial	NOUN
cana-5228	215	31	.	.	PUNCT
cana-5228	216	1	this	this	DET
cana-5228	216	2	constructing	construct	VERB
cana-5228	216	3	activity	activity	NOUN
cana-5228	216	4	is	be	AUX
cana-5228	216	5	the	the	DET
cana-5228	216	6	ability	ability	NOUN
cana-5228	216	7	to	to	PART
cana-5228	216	8	organize	organize	VERB
cana-5228	216	9	and	and	CCONJ
cana-5228	216	10	manipulate	manipulate	VERB
cana-5228	216	11	facts	fact	NOUN
cana-5228	216	12	,	,	PUNCT
cana-5228	216	13	as	as	ADV
cana-5228	216	14	well	well	ADV
cana-5228	216	15	as	as	ADP
cana-5228	216	16	sequence	sequence	NOUN
cana-5228	216	17	the	the	DET
cana-5228	216	18	steps	step	NOUN
cana-5228	216	19	of	of	ADP
cana-5228	216	20	evidence	evidence	NOUN
cana-5228	216	21	provided	provide	VERB
cana-5228	216	22	to	to	PART
cana-5228	216	23	obtain	obtain	VERB
cana-5228	216	24	valid	valid	ADJ
cana-5228	216	25	item	item	NOUN
cana-5228	216	26	construction	construction	NOUN
cana-5228	216	27	.	.	PUNCT
cana-5228	217	1	students	student	NOUN
cana-5228	217	2	can	can	AUX
cana-5228	217	3	make	make	VERB
cana-5228	217	4	connections	connection	NOUN
cana-5228	217	5	between	between	ADP
cana-5228	217	6	the	the	DET
cana-5228	217	7	facts	fact	NOUN
cana-5228	217	8	known	know	VERB
cana-5228	217	9	in	in	ADP
cana-5228	217	10	the	the	DET
cana-5228	217	11	statement	statement	NOUN
cana-5228	217	12	and	and	CCONJ
cana-5228	217	13	the	the	DET
cana-5228	217	14	elements	element	NOUN
cana-5228	217	15	to	to	PART
cana-5228	217	16	be	be	AUX
cana-5228	217	17	proven	prove	VERB
cana-5228	217	18	.	.	PUNCT
cana-5228	218	1	these	these	DET
cana-5228	218	2	facts	fact	NOUN
cana-5228	218	3	can	can	AUX
cana-5228	218	4	be	be	AUX
cana-5228	218	5	contained	contain	VERB
cana-5228	218	6	in	in	ADP
cana-5228	218	7	definitions	definition	NOUN
cana-5228	218	8	,	,	PUNCT
cana-5228	218	9	theorems	theorem	NOUN
cana-5228	218	10	,	,	PUNCT
cana-5228	218	11	or	or	CCONJ
cana-5228	218	12	proven	prove	VERB
cana-5228	218	13	problems	problem	NOUN
cana-5228	218	14	related	relate	VERB
cana-5228	218	15	to	to	ADP
cana-5228	218	16	statements	statement	NOUN
cana-5228	218	17	to	to	PART
cana-5228	218	18	build	build	VERB
cana-5228	218	19	proof	proof	NOUN
cana-5228	218	20	.	.	PUNCT
cana-5228	219	1	every	every	DET
cana-5228	219	2	student	student	NOUN
cana-5228	219	3	must	must	AUX
cana-5228	219	4	understand	understand	VERB
cana-5228	219	5	the	the	DET
cana-5228	219	6	concept	concept	NOUN
cana-5228	219	7	of	of	ADP
cana-5228	219	8	definition	definition	NOUN
cana-5228	219	9	.	.	PUNCT
cana-5228	220	1	because	because	SCONJ
cana-5228	220	2	in	in	ADP
cana-5228	220	3	proving	prove	VERB
cana-5228	220	4	theorems	theorem	NOUN
cana-5228	220	5	and	and	CCONJ
cana-5228	220	6	proof	proof	NOUN
cana-5228	220	7	problems	problem	NOUN
cana-5228	220	8	,	,	PUNCT
cana-5228	220	9	an	an	DET
cana-5228	220	10	understanding	understanding	NOUN
cana-5228	220	11	of	of	ADP
cana-5228	220	12	evidence	evidence	NOUN
cana-5228	220	13	is	be	AUX
cana-5228	220	14	also	also	ADV
cana-5228	220	15	needed	need	VERB
cana-5228	220	16	.	.	PUNCT
cana-5228	221	1	[	[	X
cana-5228	221	2	45	45	NUM
cana-5228	221	3	]	]	PUNCT
cana-5228	221	4	have	have	AUX
cana-5228	221	5	used	use	VERB
cana-5228	221	6	several	several	ADJ
cana-5228	221	7	strategies	strategy	NOUN
cana-5228	221	8	to	to	PART
cana-5228	221	9	improve	improve	VERB
cana-5228	221	10	student	student	NOUN
cana-5228	221	11	thinking	thinking	NOUN
cana-5228	221	12	in	in	ADP
cana-5228	221	13	writing	write	VERB
cana-5228	221	14	valid	valid	ADJ
cana-5228	221	15	evidence	evidence	NOUN
cana-5228	221	16	.	.	PUNCT
cana-5228	222	1	in	in	ADP
cana-5228	222	2	this	this	DET
cana-5228	222	3	study	study	NOUN
cana-5228	222	4	,	,	PUNCT
cana-5228	222	5	students	student	NOUN
cana-5228	222	6	can	can	AUX
cana-5228	222	7	easily	easily	ADV
cana-5228	222	8	understand	understand	VERB
cana-5228	222	9	the	the	DET
cana-5228	222	10	definition	definition	NOUN
cana-5228	222	11	concepts	concept	NOUN
cana-5228	222	12	in	in	ADP
cana-5228	222	13	the	the	DET
cana-5228	222	14	discussion	discussion	NOUN
cana-5228	222	15	material	material	NOUN
cana-5228	222	16	worksheet	worksheet	NOUN
cana-5228	222	17	with	with	ADP
cana-5228	222	18	mathematical	mathematical	ADJ
cana-5228	222	19	working	working	NOUN
cana-5228	222	20	space	space	NOUN
cana-5228	222	21	strategies	strategy	NOUN
cana-5228	222	22	.	.	PUNCT
cana-5228	223	1	in	in	ADP
cana-5228	223	2	the	the	DET
cana-5228	223	3	worksheet	worksheet	NOUN
cana-5228	223	4	,	,	PUNCT
cana-5228	223	5	each	each	DET
cana-5228	223	6	student	student	NOUN
cana-5228	223	7	's	's	PART
cana-5228	223	8	definition	definition	NOUN
cana-5228	223	9	must	must	AUX
cana-5228	223	10	know	know	VERB
cana-5228	223	11	the	the	DET
cana-5228	223	12	background	background	NOUN
cana-5228	223	13	,	,	PUNCT
cana-5228	223	14	the	the	DET
cana-5228	223	15	essence	essence	NOUN
cana-5228	223	16	of	of	ADP
cana-5228	223	17	the	the	DET
cana-5228	223	18	definition	definition	NOUN
cana-5228	223	19	,	,	PUNCT
cana-5228	223	20	and	and	CCONJ
cana-5228	223	21	its	its	PRON
cana-5228	223	22	attributes	attribute	NOUN
cana-5228	223	23	.	.	PUNCT
cana-5228	224	1	this	this	DET
cana-5228	224	2	attribute	attribute	NOUN
cana-5228	224	3	is	be	AUX
cana-5228	224	4	very	very	ADV
cana-5228	224	5	helpful	helpful	ADJ
cana-5228	224	6	for	for	ADP
cana-5228	224	7	students	student	NOUN
cana-5228	224	8	in	in	ADP
cana-5228	224	9	the	the	DET
cana-5228	224	10	evidentiary	evidentiary	ADJ
cana-5228	224	11	steps	step	NOUN
cana-5228	224	12	.	.	PUNCT
cana-5228	225	1	these	these	DET
cana-5228	225	2	attributes	attribute	NOUN
cana-5228	225	3	will	will	AUX
cana-5228	225	4	make	make	VERB
cana-5228	225	5	it	it	PRON
cana-5228	225	6	easier	easy	ADJ
cana-5228	225	7	for	for	SCONJ
cana-5228	225	8	students	student	NOUN
cana-5228	225	9	to	to	PART
cana-5228	225	10	prove	prove	VERB
cana-5228	225	11	theorems	theorem	NOUN
cana-5228	225	12	and	and	CCONJ
cana-5228	225	13	proof	proof	NOUN
cana-5228	225	14	problems	problem	NOUN
cana-5228	225	15	.	.	PUNCT
cana-5228	226	1	during	during	ADP
cana-5228	226	2	lectures	lecture	NOUN
cana-5228	226	3	,	,	PUNCT
cana-5228	226	4	students	student	NOUN
cana-5228	226	5	often	often	ADV
cana-5228	226	6	do	do	VERB
cana-5228	226	7	proof	proof	NOUN
cana-5228	226	8	questions	question	NOUN
cana-5228	226	9	that	that	PRON
cana-5228	226	10	are	be	AUX
cana-5228	226	11	done	do	VERB
cana-5228	226	12	in	in	ADP
cana-5228	226	13	groups	group	NOUN
cana-5228	226	14	.	.	PUNCT
cana-5228	227	1	solving	solve	VERB
cana-5228	227	2	proof	proof	NOUN
cana-5228	227	3	problems	problem	NOUN
cana-5228	227	4	in	in	ADP
cana-5228	227	5	groups	group	NOUN
cana-5228	227	6	is	be	AUX
cana-5228	227	7	very	very	ADV
cana-5228	227	8	helpful	helpful	ADJ
cana-5228	227	9	for	for	ADP
cana-5228	227	10	students	student	NOUN
cana-5228	227	11	in	in	ADP
cana-5228	227	12	finding	find	VERB
cana-5228	227	13	solutions	solution	NOUN
cana-5228	227	14	.	.	PUNCT
cana-5228	228	1	the	the	DET
cana-5228	228	2	guided	guide	VERB
cana-5228	228	3	discovery	discovery	NOUN
cana-5228	228	4	learning	learn	VERB
cana-5228	228	5	learning	learn	VERB
cana-5228	228	6	model	model	NOUN
cana-5228	228	7	is	be	AUX
cana-5228	228	8	very	very	ADV
cana-5228	228	9	appropriate	appropriate	ADJ
cana-5228	228	10	in	in	ADP
cana-5228	228	11	proof	proof	ADJ
cana-5228	228	12	learning	learning	NOUN
cana-5228	228	13	,	,	PUNCT
cana-5228	228	14	especially	especially	ADV
cana-5228	228	15	in	in	ADP
cana-5228	228	16	real	real	ADJ
cana-5228	228	17	analysis	analysis	NOUN
cana-5228	228	18	courses	course	NOUN
cana-5228	228	19	[	[	X
cana-5228	228	20	43	43	NUM
cana-5228	228	21	]	]	PUNCT
cana-5228	228	22	,	,	PUNCT
cana-5228	228	23	[	[	X
cana-5228	228	24	45	45	NUM
cana-5228	228	25	]	]	PUNCT
cana-5228	228	26	.	.	PUNCT
cana-5228	229	1	students	student	NOUN
cana-5228	229	2	individually	individually	ADV
cana-5228	229	3	work	work	VERB
cana-5228	229	4	on	on	ADP
cana-5228	229	5	questions	question	NOUN
cana-5228	229	6	related	relate	VERB
cana-5228	229	7	to	to	ADP
cana-5228	229	8	proof	proof	NOUN
cana-5228	229	9	at	at	ADP
cana-5228	229	10	the	the	DET
cana-5228	229	11	end	end	NOUN
cana-5228	229	12	of	of	ADP
cana-5228	229	13	each	each	DET
cana-5228	229	14	meeting	meeting	NOUN
cana-5228	229	15	.	.	PUNCT
cana-5228	230	1	the	the	DET
cana-5228	230	2	doing	doing	NOUN
cana-5228	230	3	of	of	ADP
cana-5228	230	4	proof	proof	ADJ
cana-5228	230	5	questions	question	NOUN
cana-5228	230	6	encourages	encourage	VERB
cana-5228	230	7	students	student	NOUN
cana-5228	230	8	to	to	PART
cana-5228	230	9	improve	improve	VERB
cana-5228	230	10	their	their	PRON
cana-5228	230	11	proof	proof	NOUN
cana-5228	230	12	skills	skill	NOUN
cana-5228	230	13	.	.	PUNCT
cana-5228	231	1	moreover	moreover	ADV
cana-5228	231	2	,	,	PUNCT
cana-5228	231	3	learning	learning	NOUN
cana-5228	231	4	has	have	AUX
cana-5228	231	5	been	be	AUX
cana-5228	231	6	facilitated	facilitate	VERB
cana-5228	231	7	with	with	ADP
cana-5228	231	8	worksheets	worksheet	NOUN
cana-5228	231	9	of	of	ADP
cana-5228	231	10	discussion	discussion	NOUN
cana-5228	231	11	material	material	NOUN
cana-5228	231	12	to	to	PART
cana-5228	231	13	overcome	overcome	VERB
cana-5228	231	14	student	student	NOUN
cana-5228	231	15	learning	learn	VERB
cana-5228	231	16	difficulties	difficulty	NOUN
cana-5228	231	17	in	in	ADP
cana-5228	231	18	learning	learn	VERB
cana-5228	231	19	real	real	ADJ
cana-5228	231	20	analysis	analysis	NOUN
cana-5228	231	21	.	.	PUNCT
cana-5228	232	1	worksheets	worksheet	NOUN
cana-5228	232	2	with	with	ADP
cana-5228	232	3	mathematical	mathematical	ADJ
cana-5228	232	4	working	working	NOUN
cana-5228	232	5	space	space	NOUN
cana-5228	232	6	strategies	strategy	NOUN
cana-5228	232	7	are	be	AUX
cana-5228	232	8	perfect	perfect	ADJ
cana-5228	232	9	for	for	ADP
cana-5228	232	10	learning	learn	VERB
cana-5228	232	11	proofs	proof	NOUN
cana-5228	232	12	[	[	X
cana-5228	232	13	35	35	NUM
cana-5228	232	14	]	]	PUNCT
cana-5228	232	15	,	,	PUNCT
cana-5228	232	16	[	[	X
cana-5228	232	17	46	46	NUM
cana-5228	232	18	]	]	PUNCT
cana-5228	232	19	,	,	PUNCT
cana-5228	232	20	[	[	X
cana-5228	232	21	47	47	NUM
cana-5228	232	22	]	]	PUNCT
cana-5228	232	23	,	,	PUNCT
cana-5228	232	24	[	[	X
cana-5228	232	25	48	48	NUM
cana-5228	232	26	]	]	PUNCT
cana-5228	232	27	,	,	PUNCT
cana-5228	232	28	[	[	X
cana-5228	232	29	49	49	NUM
cana-5228	232	30	]	]	PUNCT
cana-5228	232	31	communications	communication	NOUN
cana-5228	232	32	on	on	ADP
cana-5228	232	33	applied	apply	VERB
cana-5228	232	34	nonlinear	nonlinear	ADJ
cana-5228	232	35	analysis	analysis	NOUN
cana-5228	232	36	issn	issn	NOUN
cana-5228	232	37	:	:	PUNCT
cana-5228	232	38	1074	1074	NUM
cana-5228	232	39	-	-	PUNCT
cana-5228	232	40	133x	133x	NUM
cana-5228	232	41	vol	vol	NOUN
cana-5228	232	42	x	x	NOUN
cana-5228	232	43	no	no	INTJ
cana-5228	232	44	.	.	PUNCT
cana-5228	233	1	y	y	NOUN
cana-5228	233	2	(	(	PUNCT
cana-5228	233	3	20	20	NUM
cana-5228	233	4	-	-	PUNCT
cana-5228	233	5	-	-	PUNCT
cana-5228	233	6	)	)	PUNCT
cana-5228	233	7	1246	1246	NUM
cana-5228	233	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	234	1	the	the	DET
cana-5228	234	2	use	use	NOUN
cana-5228	234	3	of	of	ADP
cana-5228	234	4	discussion	discussion	NOUN
cana-5228	234	5	material	material	NOUN
cana-5228	234	6	worksheets	worksheet	NOUN
cana-5228	234	7	in	in	ADP
cana-5228	234	8	this	this	DET
cana-5228	234	9	study	study	NOUN
cana-5228	234	10	is	be	AUX
cana-5228	234	11	very	very	ADV
cana-5228	234	12	helpful	helpful	ADJ
cana-5228	234	13	for	for	ADP
cana-5228	234	14	students	student	NOUN
cana-5228	234	15	in	in	ADP
cana-5228	234	16	learning	learn	VERB
cana-5228	234	17	real	real	ADJ
cana-5228	234	18	analysis	analysis	NOUN
cana-5228	234	19	.	.	PUNCT
cana-5228	235	1	previously	previously	ADV
cana-5228	235	2	,	,	PUNCT
cana-5228	235	3	students	student	NOUN
cana-5228	235	4	found	find	VERB
cana-5228	235	5	it	it	PRON
cana-5228	235	6	difficult	difficult	ADJ
cana-5228	235	7	to	to	PART
cana-5228	235	8	prove	prove	VERB
cana-5228	235	9	,	,	PUNCT
cana-5228	235	10	but	but	CCONJ
cana-5228	235	11	with	with	ADP
cana-5228	235	12	flexibility	flexibility	NOUN
cana-5228	235	13	in	in	ADP
cana-5228	235	14	the	the	DET
cana-5228	235	15	worksheet	worksheet	NOUN
cana-5228	235	16	,	,	PUNCT
cana-5228	235	17	they	they	PRON
cana-5228	235	18	can	can	AUX
cana-5228	235	19	overcome	overcome	VERB
cana-5228	235	20	their	their	PRON
cana-5228	235	21	difficulties	difficulty	NOUN
cana-5228	235	22	.	.	PUNCT
cana-5228	236	1	these	these	DET
cana-5228	236	2	worksheets	worksheet	NOUN
cana-5228	236	3	are	be	AUX
cana-5228	236	4	very	very	ADV
cana-5228	236	5	helpful	helpful	ADJ
cana-5228	236	6	for	for	ADP
cana-5228	236	7	students	student	NOUN
cana-5228	236	8	in	in	ADP
cana-5228	236	9	learning	learn	VERB
cana-5228	236	10	to	to	PART
cana-5228	236	11	analyze	analyze	VERB
cana-5228	236	12	math	math	NOUN
cana-5228	236	13	problems	problem	NOUN
cana-5228	236	14	.	.	PUNCT
cana-5228	237	1	after	after	ADP
cana-5228	237	2	learning	learn	VERB
cana-5228	237	3	real	real	ADJ
cana-5228	237	4	analysis	analysis	NOUN
cana-5228	237	5	using	use	VERB
cana-5228	237	6	worksheets	worksheet	NOUN
cana-5228	237	7	discussion	discussion	NOUN
cana-5228	237	8	material	material	NOUN
cana-5228	237	9	with	with	ADP
cana-5228	237	10	mathematical	mathematical	ADJ
cana-5228	237	11	working	working	NOUN
cana-5228	237	12	space	space	NOUN
cana-5228	237	13	strategies	strategy	NOUN
cana-5228	237	14	,	,	PUNCT
cana-5228	237	15	most	most	ADJ
cana-5228	237	16	students	student	NOUN
cana-5228	237	17	can	can	AUX
cana-5228	237	18	understand	understand	VERB
cana-5228	237	19	a	a	DET
cana-5228	237	20	general	general	ADJ
cana-5228	237	21	statement	statement	NOUN
cana-5228	237	22	and	and	CCONJ
cana-5228	237	23	successfully	successfully	ADV
cana-5228	237	24	test	test	VERB
cana-5228	237	25	it	it	PRON
cana-5228	237	26	with	with	ADP
cana-5228	237	27	an	an	DET
cana-5228	237	28	example	example	NOUN
cana-5228	237	29	,	,	PUNCT
cana-5228	237	30	can	can	AUX
cana-5228	237	31	understand	understand	VERB
cana-5228	237	32	the	the	DET
cana-5228	237	33	evidence	evidence	NOUN
cana-5228	237	34	provided	provide	VERB
cana-5228	237	35	and	and	CCONJ
cana-5228	237	36	know	know	VERB
cana-5228	237	37	the	the	DET
cana-5228	237	38	errors	error	NOUN
cana-5228	237	39	of	of	ADP
cana-5228	237	40	the	the	DET
cana-5228	237	41	evidence	evidence	NOUN
cana-5228	237	42	provided	provide	VERB
cana-5228	237	43	,	,	PUNCT
cana-5228	237	44	and	and	CCONJ
cana-5228	237	45	then	then	ADV
cana-5228	237	46	correct	correct	VERB
cana-5228	237	47	it	it	PRON
cana-5228	237	48	,	,	PUNCT
cana-5228	237	49	can	can	AUX
cana-5228	237	50	give	give	VERB
cana-5228	237	51	conclusions	conclusion	NOUN
cana-5228	237	52	appropriately	appropriately	ADV
cana-5228	237	53	if	if	SCONJ
cana-5228	237	54	students	student	NOUN
cana-5228	237	55	have	have	AUX
cana-5228	237	56	mastered	master	VERB
cana-5228	237	57	the	the	DET
cana-5228	237	58	basics	basic	NOUN
cana-5228	237	59	of	of	ADP
cana-5228	237	60	analysis	analysis	NOUN
cana-5228	237	61	and	and	CCONJ
cana-5228	237	62	proof	proof	NOUN
cana-5228	237	63	,	,	PUNCT
cana-5228	237	64	it	it	PRON
cana-5228	237	65	helps	help	VERB
cana-5228	237	66	in	in	ADP
cana-5228	237	67	learning	learn	VERB
cana-5228	237	68	analysis	analysis	NOUN
cana-5228	237	69	in	in	ADP
cana-5228	237	70	mathematical	mathematical	ADJ
cana-5228	237	71	problems	problem	NOUN
cana-5228	237	72	[	[	X
cana-5228	237	73	50	50	NUM
cana-5228	237	74	]	]	PUNCT
cana-5228	237	75	,	,	PUNCT
cana-5228	237	76	[	[	X
cana-5228	237	77	51	51	NUM
cana-5228	237	78	]	]	PUNCT
cana-5228	237	79	,	,	PUNCT
cana-5228	237	80	[	[	X
cana-5228	237	81	52	52	NUM
cana-5228	237	82	]	]	PUNCT
cana-5228	237	83	.	.	PUNCT
cana-5228	238	1	5	5	X
cana-5228	238	2	.	.	X
cana-5228	238	3	conclusion	conclusion	NOUN
cana-5228	238	4	underlining	underline	VERB
cana-5228	238	5	the	the	DET
cana-5228	238	6	results	result	NOUN
cana-5228	238	7	of	of	ADP
cana-5228	238	8	this	this	DET
cana-5228	238	9	study	study	NOUN
cana-5228	238	10	the	the	DET
cana-5228	238	11	need	need	NOUN
cana-5228	238	12	for	for	ADP
cana-5228	238	13	comprehensive	comprehensive	ADJ
cana-5228	238	14	learning	learning	NOUN
cana-5228	238	15	is	be	AUX
cana-5228	238	16	by	by	ADP
cana-5228	238	17	the	the	DET
cana-5228	238	18	real	real	ADJ
cana-5228	238	19	analysis	analysis	NOUN
cana-5228	238	20	course	course	NOUN
cana-5228	238	21	in	in	ADP
cana-5228	238	22	the	the	DET
cana-5228	238	23	mathematics	mathematic	NOUN
cana-5228	238	24	education	education	NOUN
cana-5228	238	25	study	study	NOUN
cana-5228	238	26	program	program	NOUN
cana-5228	238	27	which	which	PRON
cana-5228	238	28	aims	aim	VERB
cana-5228	238	29	to	to	PART
cana-5228	238	30	improve	improve	VERB
cana-5228	238	31	students	student	NOUN
cana-5228	238	32	'	'	PART
cana-5228	238	33	understanding	understanding	NOUN
cana-5228	238	34	of	of	ADP
cana-5228	238	35	proof	proof	ADJ
cana-5228	238	36	problems	problem	NOUN
cana-5228	238	37	.	.	PUNCT
cana-5228	239	1	in	in	ADP
cana-5228	239	2	addition	addition	NOUN
cana-5228	239	3	,	,	PUNCT
cana-5228	239	4	it	it	PRON
cana-5228	239	5	provides	provide	VERB
cana-5228	239	6	the	the	DET
cana-5228	239	7	necessary	necessary	ADJ
cana-5228	239	8	support	support	NOUN
cana-5228	239	9	to	to	ADP
cana-5228	239	10	educators	educator	NOUN
cana-5228	239	11	in	in	ADP
cana-5228	239	12	implementing	implement	VERB
cana-5228	239	13	appropriate	appropriate	ADJ
cana-5228	239	14	learning	learning	NOUN
cana-5228	239	15	.	.	PUNCT
cana-5228	240	1	this	this	DET
cana-5228	240	2	study	study	NOUN
cana-5228	240	3	can	can	AUX
cana-5228	240	4	be	be	AUX
cana-5228	240	5	aimed	aim	VERB
cana-5228	240	6	at	at	ADP
cana-5228	240	7	the	the	DET
cana-5228	240	8	curriculum	curriculum	NOUN
cana-5228	240	9	section	section	NOUN
cana-5228	240	10	to	to	PART
cana-5228	240	11	show	show	VERB
cana-5228	240	12	the	the	DET
cana-5228	240	13	extent	extent	NOUN
cana-5228	240	14	to	to	PART
cana-5228	240	15	which	which	PRON
cana-5228	240	16	effective	effective	ADJ
cana-5228	240	17	learning	learning	NOUN
cana-5228	240	18	can	can	AUX
cana-5228	240	19	be	be	AUX
cana-5228	240	20	applied	apply	VERB
cana-5228	240	21	.	.	PUNCT
cana-5228	241	1	this	this	DET
cana-5228	241	2	study	study	NOUN
cana-5228	241	3	uses	use	VERB
cana-5228	241	4	a	a	DET
cana-5228	241	5	quantitative	quantitative	ADJ
cana-5228	241	6	approach	approach	NOUN
cana-5228	241	7	using	use	VERB
cana-5228	241	8	data	datum	NOUN
cana-5228	241	9	on	on	ADP
cana-5228	241	10	the	the	DET
cana-5228	241	11	results	result	NOUN
cana-5228	241	12	of	of	ADP
cana-5228	241	13	the	the	DET
cana-5228	241	14	initial	initial	ADJ
cana-5228	241	15	test	test	NOUN
cana-5228	241	16	and	and	CCONJ
cana-5228	241	17	the	the	DET
cana-5228	241	18	final	final	ADJ
cana-5228	241	19	test	test	NOUN
cana-5228	241	20	obtained	obtain	VERB
cana-5228	241	21	real	real	ADJ
cana-5228	241	22	analysis	analysis	NOUN
cana-5228	241	23	learning	learn	VERB
cana-5228	241	24	using	use	VERB
cana-5228	241	25	the	the	DET
cana-5228	241	26	guided	guide	VERB
cana-5228	241	27	discovery	discovery	NOUN
cana-5228	241	28	learning	learning	NOUN
cana-5228	241	29	model	model	NOUN
cana-5228	241	30	with	with	ADP
cana-5228	241	31	discussion	discussion	NOUN
cana-5228	241	32	material	material	NOUN
cana-5228	241	33	worksheets	worksheet	NOUN
cana-5228	241	34	with	with	ADP
cana-5228	241	35	the	the	DET
cana-5228	241	36	mathematical	mathematical	ADJ
cana-5228	241	37	working	working	NOUN
cana-5228	241	38	space	space	NOUN
cana-5228	241	39	strategy	strategy	NOUN
cana-5228	241	40	experienced	experience	VERB
cana-5228	241	41	completeness	completeness	NOUN
cana-5228	241	42	,	,	PUNCT
cana-5228	241	43	there	there	PRON
cana-5228	241	44	was	be	VERB
cana-5228	241	45	an	an	DET
cana-5228	241	46	improvement	improvement	NOUN
cana-5228	241	47	compared	compare	VERB
cana-5228	241	48	to	to	ADP
cana-5228	241	49	before	before	ADV
cana-5228	241	50	,	,	PUNCT
cana-5228	241	51	and	and	CCONJ
cana-5228	241	52	was	be	AUX
cana-5228	241	53	more	more	ADV
cana-5228	241	54	effective	effective	ADJ
cana-5228	241	55	.	.	PUNCT
cana-5228	242	1	scientific	scientific	ADJ
cana-5228	242	2	efforts	effort	NOUN
cana-5228	242	3	in	in	ADP
cana-5228	242	4	this	this	DET
cana-5228	242	5	area	area	NOUN
cana-5228	242	6	for	for	ADP
cana-5228	242	7	the	the	DET
cana-5228	242	8	next	next	ADJ
cana-5228	242	9	time	time	NOUN
cana-5228	242	10	were	be	AUX
cana-5228	242	11	centred	centre	VERB
cana-5228	242	12	on	on	ADP
cana-5228	242	13	designing	design	VERB
cana-5228	242	14	and	and	CCONJ
cana-5228	242	15	implementing	implement	VERB
cana-5228	242	16	learning	learn	VERB
cana-5228	242	17	devoted	devote	VERB
cana-5228	242	18	to	to	ADP
cana-5228	242	19	improving	improve	VERB
cana-5228	242	20	the	the	DET
cana-5228	242	21	quality	quality	NOUN
cana-5228	242	22	of	of	ADP
cana-5228	242	23	mathematical	mathematical	ADJ
cana-5228	242	24	proof	proof	NOUN
cana-5228	242	25	problems	problem	NOUN
cana-5228	242	26	.	.	PUNCT
cana-5228	243	1	meanwhile	meanwhile	ADV
cana-5228	243	2	,	,	PUNCT
cana-5228	243	3	the	the	DET
cana-5228	243	4	results	result	NOUN
cana-5228	243	5	of	of	ADP
cana-5228	243	6	qualitative	qualitative	ADJ
cana-5228	243	7	research	research	NOUN
cana-5228	243	8	can	can	AUX
cana-5228	243	9	explore	explore	VERB
cana-5228	243	10	the	the	DET
cana-5228	243	11	obstacles	obstacle	NOUN
cana-5228	243	12	faced	face	VERB
cana-5228	243	13	by	by	ADP
cana-5228	243	14	educators	educator	NOUN
cana-5228	243	15	and	and	CCONJ
cana-5228	243	16	explore	explore	VERB
cana-5228	243	17	student	student	NOUN
cana-5228	243	18	perceptions	perception	NOUN
cana-5228	243	19	in	in	ADP
cana-5228	243	20	learning	learn	VERB
cana-5228	243	21	integration	integration	NOUN
cana-5228	243	22	.	.	PUNCT
cana-5228	244	1	efforts	effort	NOUN
cana-5228	244	2	to	to	PART
cana-5228	244	3	be	be	AUX
cana-5228	244	4	made	make	VERB
cana-5228	244	5	in	in	ADP
cana-5228	244	6	the	the	DET
cana-5228	244	7	future	future	NOUN
cana-5228	244	8	are	be	AUX
cana-5228	244	9	to	to	PART
cana-5228	244	10	improve	improve	VERB
cana-5228	244	11	the	the	DET
cana-5228	244	12	development	development	NOUN
cana-5228	244	13	of	of	ADP
cana-5228	244	14	sustainable	sustainable	ADJ
cana-5228	244	15	professional	professional	ADJ
cana-5228	244	16	learning	learning	NOUN
cana-5228	244	17	and	and	CCONJ
cana-5228	244	18	relationships	relationship	NOUN
cana-5228	244	19	that	that	PRON
cana-5228	244	20	are	be	AUX
cana-5228	244	21	in	in	ADP
cana-5228	244	22	line	line	NOUN
cana-5228	244	23	with	with	ADP
cana-5228	244	24	the	the	DET
cana-5228	244	25	target	target	NOUN
cana-5228	244	26	.	.	PUNCT
cana-5228	245	1	this	this	DET
cana-5228	245	2	kind	kind	NOUN
cana-5228	245	3	of	of	ADP
cana-5228	245	4	learning	learn	VERB
cana-5228	245	5	promises	promise	NOUN
cana-5228	245	6	to	to	PART
cana-5228	245	7	foster	foster	VERB
cana-5228	245	8	a	a	DET
cana-5228	245	9	conducive	conducive	ADJ
cana-5228	245	10	learning	learning	NOUN
cana-5228	245	11	environment	environment	NOUN
cana-5228	245	12	that	that	PRON
cana-5228	245	13	can	can	AUX
cana-5228	245	14	ultimately	ultimately	ADV
cana-5228	245	15	improve	improve	VERB
cana-5228	245	16	students	student	NOUN
cana-5228	245	17	'	'	PART
cana-5228	245	18	ability	ability	NOUN
cana-5228	245	19	to	to	PART
cana-5228	245	20	prove	prove	VERB
cana-5228	245	21	in	in	ADP
cana-5228	245	22	learning	learn	VERB
cana-5228	245	23	real	real	ADJ
cana-5228	245	24	analysis	analysis	NOUN
cana-5228	245	25	.	.	PUNCT
cana-5228	246	1	acknowledgment	acknowledgment	NOUN
cana-5228	246	2	in	in	ADP
cana-5228	246	3	the	the	DET
cana-5228	246	4	implementation	implementation	NOUN
cana-5228	246	5	of	of	ADP
cana-5228	246	6	this	this	DET
cana-5228	246	7	research	research	NOUN
cana-5228	246	8	,	,	PUNCT
cana-5228	246	9	the	the	DET
cana-5228	246	10	researcher	researcher	NOUN
cana-5228	246	11	expressed	express	VERB
cana-5228	246	12	his	his	PRON
cana-5228	246	13	gratitude	gratitude	NOUN
cana-5228	246	14	to	to	ADP
cana-5228	246	15	the	the	DET
cana-5228	246	16	pancasakti	pancasakti	ADJ
cana-5228	246	17	tegal	tegal	ADJ
cana-5228	246	18	education	education	NOUN
cana-5228	246	19	foundation	foundation	NOUN
cana-5228	246	20	and	and	CCONJ
cana-5228	246	21	the	the	DET
cana-5228	246	22	rector	rector	NOUN
cana-5228	246	23	of	of	ADP
cana-5228	246	24	pancasakti	pancasakti	ADJ
cana-5228	246	25	tegal	tegal	ADJ
cana-5228	246	26	university	university	NOUN
cana-5228	246	27	for	for	ADP
cana-5228	246	28	granting	grant	VERB
cana-5228	246	29	permission	permission	NOUN
cana-5228	246	30	and	and	CCONJ
cana-5228	246	31	scholarships	scholarship	NOUN
cana-5228	246	32	to	to	ADP
cana-5228	246	33	researchers	researcher	NOUN
cana-5228	246	34	for	for	ADP
cana-5228	246	35	further	further	ADJ
cana-5228	246	36	s3	s3	PROPN
cana-5228	246	37	studies	study	NOUN
cana-5228	246	38	in	in	ADP
cana-5228	246	39	the	the	DET
cana-5228	246	40	s3	s3	PROPN
cana-5228	246	41	mathematics	mathematics	PROPN
cana-5228	246	42	education	education	NOUN
cana-5228	246	43	study	study	NOUN
cana-5228	246	44	program	program	NOUN
cana-5228	246	45	universitas	universita	NOUN
cana-5228	246	46	negeri	negeri	PROPN
cana-5228	246	47	semarang	semarang	PROPN
cana-5228	246	48	.	.	PUNCT
cana-5228	247	1	the	the	DET
cana-5228	247	2	researcher	researcher	NOUN
cana-5228	247	3	thanked	thank	VERB
cana-5228	247	4	the	the	DET
cana-5228	247	5	dissertation	dissertation	NOUN
cana-5228	247	6	supervisors	supervisor	NOUN
cana-5228	247	7	,	,	PUNCT
cana-5228	247	8	namely	namely	ADV
cana-5228	247	9	prof	prof	NOUN
cana-5228	247	10	.	.	PUNCT
cana-5228	248	1	dr	dr	PROPN
cana-5228	248	2	stevanus	stevanus	PROPN
cana-5228	248	3	budi	budi	PROPN
cana-5228	248	4	waluya	waluya	PROPN
cana-5228	248	5	,	,	PUNCT
cana-5228	248	6	m.si	m.si	PROPN
cana-5228	248	7	,	,	PUNCT
cana-5228	248	8	dr	dr	PROPN
cana-5228	248	9	dwijanto	dwijanto	PROPN
cana-5228	248	10	,	,	PUNCT
cana-5228	248	11	m.sc	m.sc	PROPN
cana-5228	248	12	,	,	PUNCT
cana-5228	248	13	and	and	CCONJ
cana-5228	248	14	dr	dr	PROPN
cana-5228	248	15	tri	tri	PROPN
cana-5228	248	16	sri	sri	PROPN
cana-5228	248	17	noor	noor	PROPN
cana-5228	248	18	asih	asih	PROPN
cana-5228	248	19	,	,	PUNCT
cana-5228	248	20	m.si	m.si	PROPN
cana-5228	248	21	,	,	PUNCT
cana-5228	248	22	who	who	PRON
cana-5228	248	23	provided	provide	VERB
cana-5228	248	24	much	much	ADJ
cana-5228	248	25	knowledge	knowledge	NOUN
cana-5228	248	26	and	and	CCONJ
cana-5228	248	27	direction	direction	NOUN
cana-5228	248	28	.	.	PUNCT
cana-5228	249	1	refrences	refrence	VERB
cana-5228	250	1	[	[	X
cana-5228	250	2	1	1	X
cana-5228	250	3	]	]	PUNCT
cana-5228	250	4	h.	h.	PROPN
cana-5228	250	5	rocha	rocha	PROPN
cana-5228	250	6	,	,	PUNCT
cana-5228	250	7	“	"	PUNCT
cana-5228	250	8	mathematical	mathematical	ADJ
cana-5228	250	9	proof	proof	NOUN
cana-5228	250	10	:	:	PUNCT
cana-5228	250	11	from	from	ADP
cana-5228	250	12	mathematics	mathematics	PROPN
cana-5228	250	13	to	to	ADP
cana-5228	250	14	school	school	NOUN
cana-5228	250	15	mathematics	mathematic	NOUN
cana-5228	250	16	,	,	PUNCT
cana-5228	250	17	”	"	PUNCT
cana-5228	250	18	philosophical	philosophical	ADJ
cana-5228	250	19	transactions	transaction	NOUN
cana-5228	250	20	of	of	ADP
cana-5228	250	21	the	the	DET
cana-5228	250	22	royal	royal	ADJ
cana-5228	250	23	society	society	NOUN
cana-5228	250	24	a	a	DET
cana-5228	250	25	:	:	PUNCT
cana-5228	250	26	mathematical	mathematical	ADJ
cana-5228	250	27	,	,	PUNCT
cana-5228	250	28	physical	physical	ADJ
cana-5228	250	29	and	and	CCONJ
cana-5228	250	30	engineering	engineering	NOUN
cana-5228	250	31	sciences	science	NOUN
cana-5228	250	32	,	,	PUNCT
cana-5228	250	33	vol	vol	NOUN
cana-5228	250	34	.	.	PROPN
cana-5228	250	35	377	377	NUM
cana-5228	250	36	,	,	PUNCT
cana-5228	250	37	no	no	NOUN
cana-5228	250	38	.	.	NOUN
cana-5228	250	39	2140	2140	NUM
cana-5228	250	40	,	,	PUNCT
cana-5228	250	41	pp	pp	ADP
cana-5228	250	42	.	.	PUNCT
cana-5228	251	1	1–12	1–12	NOUN
cana-5228	251	2	,	,	PUNCT
cana-5228	251	3	2019	2019	NUM
cana-5228	251	4	,	,	PUNCT
cana-5228	251	5	doi	doi	NOUN
cana-5228	251	6	:	:	PUNCT
cana-5228	251	7	10.1098	10.1098	NUM
cana-5228	251	8	/	/	SYM
cana-5228	251	9	rsta.2018.0045	rsta.2018.0045	ADJ
cana-5228	251	10	.	.	PUNCT
cana-5228	252	1	[	[	X
cana-5228	252	2	2	2	X
cana-5228	252	3	]	]	X
cana-5228	252	4	h.	h.	PROPN
cana-5228	252	5	herizal	herizal	PROPN
cana-5228	252	6	,	,	PUNCT
cana-5228	252	7	s.	s.	PROPN
cana-5228	252	8	suhendra	suhendra	PROPN
cana-5228	252	9	,	,	PUNCT
cana-5228	252	10	and	and	CCONJ
cana-5228	252	11	e.	e.	PROPN
cana-5228	252	12	nurlaelah	nurlaelah	PROPN
cana-5228	252	13	,	,	PUNCT
cana-5228	252	14	“	"	PUNCT
cana-5228	252	15	the	the	DET
cana-5228	252	16	ability	ability	NOUN
cana-5228	252	17	of	of	ADP
cana-5228	252	18	senior	senior	ADJ
cana-5228	252	19	high	high	ADJ
cana-5228	252	20	school	school	NOUN
cana-5228	252	21	students	student	NOUN
cana-5228	252	22	in	in	ADP
cana-5228	252	23	comprehending	comprehending	ADJ
cana-5228	252	24	mathematical	mathematical	ADJ
cana-5228	252	25	proofs	proof	NOUN
cana-5228	252	26	,	,	PUNCT
cana-5228	252	27	”	"	PUNCT
cana-5228	252	28	journal	journal	NOUN
cana-5228	252	29	of	of	ADP
cana-5228	252	30	physics	physics	PROPN
cana-5228	252	31	:	:	PUNCT
cana-5228	252	32	conference	conference	NOUN
cana-5228	252	33	series	series	NOUN
cana-5228	252	34	,	,	PUNCT
cana-5228	252	35	vol	vol	NOUN
cana-5228	252	36	.	.	PROPN
cana-5228	252	37	1157	1157	NUM
cana-5228	252	38	,	,	PUNCT
cana-5228	252	39	no	no	INTJ
cana-5228	252	40	.	.	NOUN
cana-5228	252	41	2	2	NUM
cana-5228	252	42	,	,	PUNCT
cana-5228	252	43	2019	2019	NUM
cana-5228	252	44	,	,	PUNCT
cana-5228	252	45	doi	doi	NOUN
cana-5228	252	46	:	:	PUNCT
cana-5228	252	47	10.1088/17426596/1157/2/022123	10.1088/17426596/1157/2/022123	PROPN
cana-5228	252	48	.	.	PUNCT
cana-5228	252	49	communications	communication	NOUN
cana-5228	252	50	on	on	ADP
cana-5228	252	51	applied	apply	VERB
cana-5228	252	52	nonlinear	nonlinear	ADJ
cana-5228	252	53	analysis	analysis	NOUN
cana-5228	252	54	issn	issn	NOUN
cana-5228	252	55	:	:	PUNCT
cana-5228	252	56	1074	1074	NUM
cana-5228	252	57	-	-	PUNCT
cana-5228	252	58	133x	133x	NUM
cana-5228	252	59	vol	vol	NOUN
cana-5228	252	60	x	x	NOUN
cana-5228	252	61	no	no	INTJ
cana-5228	252	62	.	.	PUNCT
cana-5228	253	1	y	y	NOUN
cana-5228	253	2	(	(	PUNCT
cana-5228	253	3	20	20	NUM
cana-5228	253	4	-	-	PUNCT
cana-5228	253	5	-	-	PUNCT
cana-5228	253	6	)	)	PUNCT
cana-5228	253	7	1247	1247	NUM
cana-5228	253	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	254	1	[	[	X
cana-5228	254	2	3	3	NUM
cana-5228	254	3	]	]	X
cana-5228	254	4	herizal	herizal	PROPN
cana-5228	254	5	,	,	PUNCT
cana-5228	254	6	suhendra	suhendra	NOUN
cana-5228	254	7	,	,	PUNCT
cana-5228	254	8	and	and	CCONJ
cana-5228	254	9	e.	e.	PROPN
cana-5228	254	10	nurlaelah	nurlaelah	PROPN
cana-5228	254	11	,	,	PUNCT
cana-5228	254	12	“	"	PUNCT
cana-5228	254	13	pengaruh	pengaruh	NOUN
cana-5228	254	14	kemampuan	kemampuan	PROPN
cana-5228	254	15	memahami	memahami	PROPN
cana-5228	254	16	bukti	bukti	PROPN
cana-5228	254	17	matematis	matematis	PROPN
cana-5228	254	18	terhadap	terhadap	PROPN
cana-5228	254	19	kemampuan	kemampuan	PROPN
cana-5228	255	1	mengonstruksi	mengonstruksi	PROPN
cana-5228	255	2	bukti	bukti	PROPN
cana-5228	255	3	matematis	matematis	PROPN
cana-5228	255	4	pada	pada	PROPN
cana-5228	255	5	topik	topik	PROPN
cana-5228	255	6	trigonometri	trigonometri	PROPN
cana-5228	255	7	,	,	PUNCT
cana-5228	255	8	”	"	PUNCT
cana-5228	255	9	suska	suska	ADJ
cana-5228	255	10	journal	journal	NOUN
cana-5228	255	11	of	of	ADP
cana-5228	255	12	mathematics	mathematics	PROPN
cana-5228	255	13	education	education	NOUN
cana-5228	255	14	,	,	PUNCT
cana-5228	255	15	vol	vol	NOUN
cana-5228	255	16	.	.	PROPN
cana-5228	256	1	6	6	NUM
cana-5228	256	2	,	,	PUNCT
cana-5228	256	3	no	no	INTJ
cana-5228	256	4	.	.	NOUN
cana-5228	256	5	1	1	NUM
cana-5228	256	6	,	,	PUNCT
cana-5228	256	7	pp	pp	ADJ
cana-5228	256	8	.	.	PUNCT
cana-5228	257	1	17–24	17–24	NUM
cana-5228	257	2	,	,	PUNCT
cana-5228	257	3	2020	2020	NUM
cana-5228	257	4	.	.	PUNCT
cana-5228	258	1	[	[	X
cana-5228	258	2	4	4	X
cana-5228	258	3	]	]	X
cana-5228	258	4	t.	t.	NOUN
cana-5228	258	5	utari	utari	NOUN
cana-5228	258	6	and	and	CCONJ
cana-5228	258	7	h.	h.	PROPN
cana-5228	258	8	hartono	hartono	PROPN
cana-5228	258	9	,	,	PUNCT
cana-5228	258	10	“	"	PUNCT
cana-5228	258	11	muatan	muatan	PROPN
cana-5228	258	12	penalaran	penalaran	PROPN
cana-5228	258	13	dan	dan	PROPN
cana-5228	258	14	pembuktian	pembuktian	PROPN
cana-5228	258	15	matematis	matematis	PROPN
cana-5228	258	16	pada	pada	PROPN
cana-5228	258	17	buku	buku	PROPN
cana-5228	258	18	teks	teks	PROPN
cana-5228	258	19	matematika	matematika	PROPN
cana-5228	258	20	sma	sma	PROPN
cana-5228	258	21	kelas	kelas	PROPN
cana-5228	258	22	x	x	PROPN
cana-5228	258	23	kurikulum	kurikulum	PROPN
cana-5228	258	24	2013	2013	NUM
cana-5228	258	25	,	,	PUNCT
cana-5228	258	26	”	"	PUNCT
cana-5228	258	27	jurnal	jurnal	ADJ
cana-5228	258	28	riset	riset	PROPN
cana-5228	258	29	pendidikan	pendidikan	PROPN
cana-5228	258	30	matematika	matematika	PROPN
cana-5228	258	31	,	,	PUNCT
cana-5228	258	32	vol	vol	NOUN
cana-5228	258	33	.	.	PROPN
cana-5228	258	34	6	6	NUM
cana-5228	258	35	,	,	PUNCT
cana-5228	258	36	no	no	INTJ
cana-5228	258	37	.	.	NOUN
cana-5228	258	38	1	1	NUM
cana-5228	258	39	,	,	PUNCT
cana-5228	258	40	pp	pp	ADJ
cana-5228	258	41	.	.	PUNCT
cana-5228	259	1	1–13	1–13	NOUN
cana-5228	259	2	,	,	PUNCT
cana-5228	259	3	2019	2019	NUM
cana-5228	259	4	,	,	PUNCT
cana-5228	259	5	doi	doi	NOUN
cana-5228	259	6	:	:	PUNCT
cana-5228	259	7	10.21831	10.21831	NUM
cana-5228	259	8	/	/	SYM
cana-5228	259	9	jrpm.v6i1.17002	jrpm.v6i1.17002	NOUN
cana-5228	259	10	.	.	PUNCT
cana-5228	260	1	[	[	X
cana-5228	260	2	5	5	NUM
cana-5228	260	3	]	]	PUNCT
cana-5228	260	4	k.	k.	PROPN
cana-5228	260	5	m.	m.	PROPN
cana-5228	260	6	likando	likando	PROPN
cana-5228	260	7	and	and	CCONJ
cana-5228	260	8	m.	m.	NOUN
cana-5228	260	9	g.	g.	PROPN
cana-5228	260	10	ngoepe	ngoepe	PROPN
cana-5228	260	11	,	,	PUNCT
cana-5228	260	12	“	"	PUNCT
cana-5228	260	13	investigating	investigate	VERB
cana-5228	260	14	mathematics	mathematics	PROPN
cana-5228	260	15	trainee	trainee	PROPN
cana-5228	260	16	teachers	teacher	NOUN
cana-5228	260	17	’	’	PART
cana-5228	260	18	conceptions	conception	NOUN
cana-5228	260	19	of	of	ADP
cana-5228	260	20	proof	proof	NOUN
cana-5228	260	21	writing	write	VERB
cana-5228	260	22	in	in	ADP
cana-5228	260	23	algebra	algebra	NOUN
cana-5228	260	24	:	:	PUNCT
cana-5228	260	25	a	a	DET
cana-5228	260	26	case	case	NOUN
cana-5228	260	27	of	of	ADP
cana-5228	260	28	one	one	NUM
cana-5228	260	29	college	college	NOUN
cana-5228	260	30	of	of	ADP
cana-5228	260	31	education	education	NOUN
cana-5228	260	32	in	in	ADP
cana-5228	260	33	zambia	zambia	PROPN
cana-5228	260	34	,	,	PUNCT
cana-5228	260	35	”	"	PUNCT
cana-5228	260	36	mediterranean	mediterranean	PROPN
cana-5228	260	37	journal	journal	NOUN
cana-5228	260	38	of	of	ADP
cana-5228	260	39	social	social	ADJ
cana-5228	260	40	sciences	science	NOUN
cana-5228	260	41	,	,	PUNCT
cana-5228	260	42	vol	vol	NOUN
cana-5228	260	43	.	.	PROPN
cana-5228	260	44	5	5	NUM
cana-5228	260	45	,	,	PUNCT
cana-5228	260	46	no	no	INTJ
cana-5228	260	47	.	.	NOUN
cana-5228	260	48	14	14	NUM
cana-5228	260	49	,	,	PUNCT
cana-5228	260	50	pp	pp	ADJ
cana-5228	260	51	.	.	PUNCT
cana-5228	261	1	331–338	331–338	NUM
cana-5228	261	2	,	,	PUNCT
cana-5228	261	3	2014	2014	NUM
cana-5228	261	4	,	,	PUNCT
cana-5228	261	5	doi	doi	NOUN
cana-5228	261	6	:	:	PUNCT
cana-5228	261	7	10.5901	10.5901	NUM
cana-5228	261	8	/	/	SYM
cana-5228	261	9	mjss.2014.v5n14p331	mjss.2014.v5n14p331	VERB
cana-5228	261	10	.	.	PUNCT
cana-5228	262	1	[	[	X
cana-5228	262	2	6	6	NUM
cana-5228	262	3	]	]	X
cana-5228	262	4	n.	n.	PROPN
cana-5228	262	5	agustyaningrum	agustyaningrum	PROPN
cana-5228	262	6	,	,	PUNCT
cana-5228	262	7	a.	a.	NOUN
cana-5228	262	8	husna	husna	PROPN
cana-5228	262	9	,	,	PUNCT
cana-5228	262	10	y.	y.	PROPN
cana-5228	262	11	hanggara	hanggara	PROPN
cana-5228	262	12	,	,	PUNCT
cana-5228	262	13	a.	a.	NOUN
cana-5228	262	14	m.	m.	NOUN
cana-5228	262	15	abadi	abadi	PROPN
cana-5228	262	16	,	,	PUNCT
cana-5228	262	17	and	and	CCONJ
cana-5228	262	18	a.	a.	NOUN
cana-5228	262	19	mahmudi	mahmudi	PROPN
cana-5228	262	20	,	,	PUNCT
cana-5228	262	21	“	"	PUNCT
cana-5228	262	22	analysis	analysis	NOUN
cana-5228	262	23	of	of	ADP
cana-5228	262	24	mathematical	mathematical	ADJ
cana-5228	262	25	proof	proof	NOUN
cana-5228	262	26	ability	ability	NOUN
cana-5228	262	27	in	in	ADP
cana-5228	262	28	abstract	abstract	ADJ
cana-5228	262	29	calgebra	calgebra	NOUN
cana-5228	262	30	course	course	NOUN
cana-5228	262	31	,	,	PUNCT
cana-5228	262	32	”	"	PUNCT
cana-5228	262	33	universal	universal	ADJ
cana-5228	262	34	journal	journal	NOUN
cana-5228	262	35	of	of	ADP
cana-5228	262	36	educational	educational	ADJ
cana-5228	262	37	research	research	NOUN
cana-5228	262	38	,	,	PUNCT
cana-5228	262	39	vol	vol	NOUN
cana-5228	262	40	.	.	PROPN
cana-5228	262	41	8	8	NUM
cana-5228	262	42	,	,	PUNCT
cana-5228	262	43	no	no	INTJ
cana-5228	262	44	.	.	NOUN
cana-5228	262	45	3	3	NUM
cana-5228	262	46	,	,	PUNCT
cana-5228	262	47	pp	pp	ADJ
cana-5228	262	48	.	.	PUNCT
cana-5228	263	1	823–834	823–834	NUM
cana-5228	263	2	,	,	PUNCT
cana-5228	263	3	2020	2020	NUM
cana-5228	263	4	,	,	PUNCT
cana-5228	263	5	doi	doi	NOUN
cana-5228	263	6	:	:	PUNCT
cana-5228	263	7	10.13189	10.13189	NUM
cana-5228	263	8	/	/	SYM
cana-5228	263	9	ujer.2020.080313	ujer.2020.080313	PROPN
cana-5228	263	10	.	.	PUNCT
cana-5228	264	1	[	[	X
cana-5228	264	2	7	7	X
cana-5228	264	3	]	]	X
cana-5228	264	4	e.	e.	PROPN
cana-5228	264	5	j.	j.	PROPN
cana-5228	264	6	david	david	PROPN
cana-5228	264	7	and	and	CCONJ
cana-5228	264	8	d.	d.	PROPN
cana-5228	264	9	zazkis	zazkis	PROPN
cana-5228	264	10	,	,	PUNCT
cana-5228	264	11	“	"	PUNCT
cana-5228	264	12	characterizing	characterize	VERB
cana-5228	264	13	introduction	introduction	NOUN
cana-5228	264	14	to	to	ADP
cana-5228	264	15	proof	proof	NOUN
cana-5228	264	16	courses	course	NOUN
cana-5228	264	17	:	:	PUNCT
cana-5228	264	18	a	a	DET
cana-5228	264	19	survey	survey	NOUN
cana-5228	264	20	of	of	ADP
cana-5228	264	21	u.s	u.s	PROPN
cana-5228	264	22	.	.	PROPN
cana-5228	264	23	r1	r1	PROPN
cana-5228	264	24	and	and	CCONJ
cana-5228	264	25	r2	r2	PROPN
cana-5228	264	26	course	course	NOUN
cana-5228	264	27	syllabi	syllabus	NOUN
cana-5228	264	28	,	,	PUNCT
cana-5228	264	29	”	"	PUNCT
cana-5228	264	30	international	international	ADJ
cana-5228	264	31	journal	journal	NOUN
cana-5228	264	32	of	of	ADP
cana-5228	264	33	mathematical	mathematical	ADJ
cana-5228	264	34	education	education	NOUN
cana-5228	264	35	in	in	ADP
cana-5228	264	36	science	science	NOUN
cana-5228	264	37	and	and	CCONJ
cana-5228	264	38	technology	technology	NOUN
cana-5228	264	39	,	,	PUNCT
cana-5228	264	40	vol	vol	NOUN
cana-5228	264	41	.	.	PROPN
cana-5228	264	42	0	0	NUM
cana-5228	264	43	,	,	PUNCT
cana-5228	264	44	no	no	INTJ
cana-5228	264	45	.	.	NOUN
cana-5228	264	46	0	0	NUM
cana-5228	264	47	,	,	PUNCT
cana-5228	264	48	pp	pp	ADJ
cana-5228	264	49	.	.	PUNCT
cana-5228	265	1	1–17	1–17	NOUN
cana-5228	265	2	,	,	PUNCT
cana-5228	265	3	2019	2019	NUM
cana-5228	265	4	,	,	PUNCT
cana-5228	265	5	doi	doi	NOUN
cana-5228	265	6	:	:	PUNCT
cana-5228	265	7	10.1080/0020739x.2019.1574362	10.1080/0020739x.2019.1574362	NUM
cana-5228	265	8	.	.	PUNCT
cana-5228	266	1	[	[	X
cana-5228	266	2	8	8	NUM
cana-5228	266	3	]	]	X
cana-5228	266	4	e.	e.	PROPN
cana-5228	266	5	bettinger	bettinger	PROPN
cana-5228	266	6	,	,	PUNCT
cana-5228	266	7	s.	s.	PROPN
cana-5228	266	8	ludvigsen	ludvigsen	PROPN
cana-5228	266	9	,	,	PUNCT
cana-5228	266	10	m.	m.	PROPN
cana-5228	266	11	rege	rege	PROPN
cana-5228	266	12	,	,	PUNCT
cana-5228	266	13	i.	i.	PROPN
cana-5228	266	14	f.	f.	PROPN
cana-5228	266	15	solli	solli	PROPN
cana-5228	266	16	,	,	PUNCT
cana-5228	266	17	and	and	CCONJ
cana-5228	266	18	d.	d.	PROPN
cana-5228	266	19	yeager	yeager	PROPN
cana-5228	266	20	,	,	PUNCT
cana-5228	266	21	“	"	PUNCT
cana-5228	266	22	increasing	increase	VERB
cana-5228	266	23	perseverance	perseverance	NOUN
cana-5228	266	24	in	in	ADP
cana-5228	266	25	math	math	NOUN
cana-5228	266	26	:	:	PUNCT
cana-5228	266	27	evidence	evidence	NOUN
cana-5228	266	28	from	from	ADP
cana-5228	266	29	a	a	DET
cana-5228	266	30	field	field	NOUN
cana-5228	266	31	experiment	experiment	NOUN
cana-5228	266	32	in	in	ADP
cana-5228	266	33	norway	norway	PROPN
cana-5228	266	34	,	,	PUNCT
cana-5228	266	35	”	"	PUNCT
cana-5228	266	36	journal	journal	NOUN
cana-5228	266	37	of	of	ADP
cana-5228	266	38	economic	economic	ADJ
cana-5228	266	39	behavior	behavior	NOUN
cana-5228	266	40	and	and	CCONJ
cana-5228	266	41	organization	organization	NOUN
cana-5228	266	42	,	,	PUNCT
cana-5228	266	43	vol	vol	NOUN
cana-5228	266	44	.	.	PROPN
cana-5228	266	45	146	146	NUM
cana-5228	266	46	,	,	PUNCT
cana-5228	266	47	pp	pp	ADJ
cana-5228	266	48	.	.	PUNCT
cana-5228	267	1	1	1	NUM
cana-5228	267	2	–	–	PUNCT
cana-5228	267	3	15	15	NUM
cana-5228	267	4	,	,	PUNCT
cana-5228	267	5	2018	2018	NUM
cana-5228	267	6	,	,	PUNCT
cana-5228	267	7	doi	doi	NOUN
cana-5228	267	8	:	:	PUNCT
cana-5228	267	9	10.1016	10.1016	NUM
cana-5228	267	10	/	/	SYM
cana-5228	268	1	j.jebo.2017.11.032	j.jebo.2017.11.032	X
cana-5228	268	2	.	.	PUNCT
cana-5228	269	1	[	[	X
cana-5228	269	2	9	9	NUM
cana-5228	269	3	]	]	X
cana-5228	269	4	l.	l.	PROPN
cana-5228	269	5	cragg	cragg	PROPN
cana-5228	269	6	and	and	CCONJ
cana-5228	269	7	c.	c.	PROPN
cana-5228	269	8	gilmore	gilmore	PROPN
cana-5228	269	9	,	,	PUNCT
cana-5228	269	10	“	"	PUNCT
cana-5228	269	11	skills	skill	VERB
cana-5228	269	12	underlying	underlying	ADJ
cana-5228	269	13	mathematics	mathematic	NOUN
cana-5228	269	14	:	:	PUNCT
cana-5228	269	15	the	the	DET
cana-5228	269	16	role	role	NOUN
cana-5228	269	17	of	of	ADP
cana-5228	269	18	executive	executive	ADJ
cana-5228	269	19	function	function	NOUN
cana-5228	269	20	in	in	ADP
cana-5228	269	21	the	the	DET
cana-5228	269	22	development	development	NOUN
cana-5228	269	23	of	of	ADP
cana-5228	269	24	mathematics	mathematic	NOUN
cana-5228	269	25	proficiency	proficiency	NOUN
cana-5228	269	26	,	,	PUNCT
cana-5228	269	27	”	"	PUNCT
cana-5228	269	28	trends	trend	NOUN
cana-5228	269	29	in	in	ADP
cana-5228	269	30	neuroscience	neuroscience	NOUN
cana-5228	269	31	and	and	CCONJ
cana-5228	269	32	education	education	NOUN
cana-5228	269	33	,	,	PUNCT
cana-5228	269	34	vol	vol	NOUN
cana-5228	269	35	.	.	PROPN
cana-5228	269	36	3	3	NUM
cana-5228	269	37	,	,	PUNCT
cana-5228	269	38	no	no	INTJ
cana-5228	269	39	.	.	NOUN
cana-5228	269	40	2	2	NUM
cana-5228	269	41	,	,	PUNCT
cana-5228	269	42	pp	pp	ADJ
cana-5228	269	43	.	.	PUNCT
cana-5228	270	1	63	63	NUM
cana-5228	270	2	–	–	PUNCT
cana-5228	270	3	68	68	NUM
cana-5228	270	4	,	,	PUNCT
cana-5228	270	5	2014	2014	NUM
cana-5228	270	6	,	,	PUNCT
cana-5228	270	7	doi	doi	NOUN
cana-5228	270	8	:	:	PUNCT
cana-5228	270	9	10.1016	10.1016	NUM
cana-5228	270	10	/	/	SYM
cana-5228	270	11	j.tine.2013.12.001	j.tine.2013.12.001	PROPN
cana-5228	270	12	.	.	PUNCT
cana-5228	271	1	[	[	X
cana-5228	271	2	10	10	NUM
cana-5228	271	3	]	]	X
cana-5228	271	4	isnani	isnani	NOUN
cana-5228	271	5	,	,	PUNCT
cana-5228	271	6	s.	s.	PROPN
cana-5228	271	7	b.	b.	PROPN
cana-5228	271	8	waluya	waluya	PROPN
cana-5228	271	9	,	,	PUNCT
cana-5228	271	10	and	and	CCONJ
cana-5228	271	11	rochmad	rochmad	NOUN
cana-5228	271	12	,	,	PUNCT
cana-5228	271	13	“	"	PUNCT
cana-5228	271	14	problem	problem	NOUN
cana-5228	271	15	posing	pose	VERB
cana-5228	271	16	in	in	ADP
cana-5228	271	17	the	the	DET
cana-5228	271	18	proof	proof	ADJ
cana-5228	271	19	process	process	NOUN
cana-5228	271	20	identifying	identify	VERB
cana-5228	271	21	creative	creative	ADJ
cana-5228	271	22	thinking	thinking	NOUN
cana-5228	271	23	in	in	ADP
cana-5228	271	24	mathematics	mathematic	NOUN
cana-5228	271	25	,	,	PUNCT
cana-5228	271	26	”	"	PUNCT
cana-5228	271	27	journal	journal	NOUN
cana-5228	271	28	of	of	ADP
cana-5228	271	29	physics	physics	PROPN
cana-5228	271	30	:	:	PUNCT
cana-5228	271	31	conference	conference	NOUN
cana-5228	271	32	series	series	NOUN
cana-5228	271	33	,	,	PUNCT
cana-5228	271	34	vol	vol	NOUN
cana-5228	271	35	.	.	PROPN
cana-5228	271	36	1657	1657	NUM
cana-5228	271	37	,	,	PUNCT
cana-5228	271	38	no	no	INTJ
cana-5228	271	39	.	.	NOUN
cana-5228	271	40	1	1	NUM
cana-5228	271	41	,	,	PUNCT
cana-5228	271	42	2020	2020	NUM
cana-5228	271	43	,	,	PUNCT
cana-5228	271	44	doi	doi	NOUN
cana-5228	271	45	:	:	PUNCT
cana-5228	271	46	10.1088/17426596/1657/1/012066	10.1088/17426596/1657/1/012066	NUM
cana-5228	271	47	.	.	PUNCT
cana-5228	272	1	[	[	X
cana-5228	272	2	11	11	NUM
cana-5228	272	3	]	]	X
cana-5228	272	4	g.	g.	PROPN
cana-5228	272	5	j.	j.	PROPN
cana-5228	272	6	stylianides	stylianides	PROPN
cana-5228	272	7	and	and	CCONJ
cana-5228	272	8	a.	a.	NOUN
cana-5228	272	9	j.	j.	PROPN
cana-5228	272	10	stylianides	stylianides	PROPN
cana-5228	272	11	,	,	PUNCT
cana-5228	272	12	“	"	PUNCT
cana-5228	272	13	proof	proof	NOUN
cana-5228	272	14	in	in	ADP
cana-5228	272	15	school	school	NOUN
cana-5228	272	16	mathematics	mathematic	NOUN
cana-5228	272	17	:	:	PUNCT
cana-5228	272	18	insights	insight	NOUN
cana-5228	272	19	from	from	ADP
cana-5228	272	20	psychological	psychological	ADJ
cana-5228	272	21	research	research	NOUN
cana-5228	272	22	into	into	ADP
cana-5228	272	23	students	student	NOUN
cana-5228	272	24	’	'	PUNCT
cana-5228	272	25	ability	ability	NOUN
cana-5228	272	26	for	for	ADP
cana-5228	272	27	deductive	deductive	ADJ
cana-5228	272	28	reasoning	reasoning	NOUN
cana-5228	272	29	,	,	PUNCT
cana-5228	272	30	”	"	PUNCT
cana-5228	272	31	mathematical	mathematical	ADJ
cana-5228	272	32	thinking	thinking	NOUN
cana-5228	272	33	and	and	CCONJ
cana-5228	272	34	learning	learning	NOUN
cana-5228	272	35	,	,	PUNCT
cana-5228	272	36	vol	vol	NOUN
cana-5228	272	37	.	.	PROPN
cana-5228	272	38	10	10	NUM
cana-5228	272	39	,	,	PUNCT
cana-5228	272	40	no	no	INTJ
cana-5228	272	41	.	.	NOUN
cana-5228	272	42	2	2	NUM
cana-5228	272	43	,	,	PUNCT
cana-5228	272	44	pp	pp	ADJ
cana-5228	272	45	.	.	PUNCT
cana-5228	273	1	103–133	103–133	NUM
cana-5228	273	2	,	,	PUNCT
cana-5228	273	3	2008	2008	NUM
cana-5228	273	4	,	,	PUNCT
cana-5228	273	5	doi	doi	NOUN
cana-5228	273	6	:	:	PUNCT
cana-5228	273	7	10.1080/10986060701854425	10.1080/10986060701854425	NUM
cana-5228	273	8	.	.	PUNCT
cana-5228	274	1	[	[	X
cana-5228	274	2	12	12	NUM
cana-5228	274	3	]	]	PUNCT
cana-5228	274	4	t.	t.	NOUN
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cana-5228	274	6	,	,	PUNCT
cana-5228	274	7	“	"	PUNCT
cana-5228	274	8	what	what	PRON
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cana-5228	274	10	we	we	PRON
cana-5228	274	11	mean	mean	VERB
cana-5228	274	12	by	by	ADP
cana-5228	274	13	mathematical	mathematical	ADJ
cana-5228	274	14	proof	proof	NOUN
cana-5228	274	15	?	?	PUNCT
cana-5228	274	16	,	,	PUNCT
cana-5228	274	17	”	"	PUNCT
cana-5228	274	18	journal	journal	NOUN
cana-5228	274	19	of	of	ADP
cana-5228	274	20	humanistic	humanistic	ADJ
cana-5228	274	21	mathematics	mathematic	NOUN
cana-5228	274	22	,	,	PUNCT
cana-5228	274	23	vol	vol	NOUN
cana-5228	274	24	.	.	PROPN
cana-5228	274	25	1	1	NUM
cana-5228	274	26	,	,	PUNCT
cana-5228	274	27	no	no	INTJ
cana-5228	274	28	.	.	NOUN
cana-5228	274	29	1	1	NUM
cana-5228	274	30	,	,	PUNCT
cana-5228	274	31	pp	pp	ADJ
cana-5228	274	32	.	.	PUNCT
cana-5228	275	1	33–60	33–60	NUM
cana-5228	275	2	,	,	PUNCT
cana-5228	275	3	2011	2011	NUM
cana-5228	275	4	,	,	PUNCT
cana-5228	275	5	doi	doi	NOUN
cana-5228	275	6	:	:	PUNCT
cana-5228	275	7	10.5642	10.5642	NUM
cana-5228	275	8	/	/	SYM
cana-5228	275	9	jhummath.201101.04	jhummath.201101.04	NOUN
cana-5228	275	10	.	.	PUNCT
cana-5228	276	1	[	[	X
cana-5228	276	2	13	13	NUM
cana-5228	276	3	]	]	PUNCT
cana-5228	276	4	d.	d.	PROPN
cana-5228	276	5	a.	a.	PROPN
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cana-5228	276	7	,	,	PUNCT
cana-5228	276	8	m.	m.	PROPN
cana-5228	276	9	l.	l.	PROPN
cana-5228	276	10	blanton	blanton	PROPN
cana-5228	276	11	,	,	PUNCT
cana-5228	276	12	and	and	CCONJ
cana-5228	276	13	o.	o.	PROPN
cana-5228	276	14	rotou	rotou	PROPN
cana-5228	276	15	,	,	PUNCT
cana-5228	276	16	“	"	PUNCT
cana-5228	276	17	undergraduate	undergraduate	ADJ
cana-5228	276	18	students	student	NOUN
cana-5228	276	19	’	’	PART
cana-5228	276	20	understanding	understanding	NOUN
cana-5228	276	21	of	of	ADP
cana-5228	276	22	proof	proof	NOUN
cana-5228	276	23	:	:	PUNCT
cana-5228	276	24	relationships	relationship	NOUN
cana-5228	276	25	between	between	ADP
cana-5228	276	26	proof	proof	ADJ
cana-5228	276	27	conceptions	conception	NOUN
cana-5228	276	28	,	,	PUNCT
cana-5228	276	29	beliefs	belief	NOUN
cana-5228	276	30	,	,	PUNCT
cana-5228	276	31	and	and	CCONJ
cana-5228	276	32	classroom	classroom	NOUN
cana-5228	276	33	experiences	experience	NOUN
cana-5228	276	34	with	with	ADP
cana-5228	276	35	learning	learn	VERB
cana-5228	276	36	proof	proof	NOUN
cana-5228	276	37	,	,	PUNCT
cana-5228	276	38	”	"	PUNCT
cana-5228	276	39	international	international	ADJ
cana-5228	276	40	journal	journal	NOUN
cana-5228	276	41	of	of	ADP
cana-5228	276	42	research	research	NOUN
cana-5228	276	43	in	in	ADP
cana-5228	276	44	undergraduate	undergraduate	ADJ
cana-5228	276	45	mathematics	mathematic	NOUN
cana-5228	276	46	education	education	NOUN
cana-5228	276	47	,	,	PUNCT
cana-5228	276	48	vol	vol	NOUN
cana-5228	276	49	.	.	PROPN
cana-5228	276	50	1	1	NUM
cana-5228	276	51	,	,	PUNCT
cana-5228	276	52	no	no	INTJ
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cana-5228	276	54	1	1	NUM
cana-5228	276	55	,	,	PUNCT
cana-5228	276	56	pp	pp	ADJ
cana-5228	276	57	.	.	PUNCT
cana-5228	277	1	91–134	91–134	NUM
cana-5228	277	2	,	,	PUNCT
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cana-5228	277	4	,	,	PUNCT
cana-5228	277	5	doi	doi	NOUN
cana-5228	277	6	:	:	PUNCT
cana-5228	277	7	10.1007	10.1007	NUM
cana-5228	277	8	/	/	SYM
cana-5228	277	9	s40753	s40753	PROPN
cana-5228	277	10	-	-	PUNCT
cana-5228	277	11	015	015	NUM
cana-5228	277	12	-	-	PUNCT
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cana-5228	277	14	-	-	SYM
cana-5228	277	15	0	0	NUM
cana-5228	277	16	.	.	PUNCT
cana-5228	278	1	[	[	X
cana-5228	278	2	14	14	NUM
cana-5228	278	3	]	]	X
cana-5228	278	4	m.	m.	NOUN
cana-5228	278	5	de	de	X
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cana-5228	278	7	,	,	PUNCT
cana-5228	278	8	“	"	PUNCT
cana-5228	278	9	the	the	DET
cana-5228	278	10	role	role	NOUN
cana-5228	278	11	and	and	CCONJ
cana-5228	278	12	function	function	NOUN
cana-5228	278	13	of	of	ADP
cana-5228	278	14	proof	proof	NOUN
cana-5228	278	15	in	in	ADP
cana-5228	278	16	mathematics	mathematic	NOUN
cana-5228	278	17	,	,	PUNCT
cana-5228	278	18	”	"	PUNCT
cana-5228	278	19	pythagoras	pythagoras	PROPN
cana-5228	278	20	,	,	PUNCT
cana-5228	278	21	vol	vol	NOUN
cana-5228	278	22	.	.	PROPN
cana-5228	278	23	24	24	NUM
cana-5228	278	24	,	,	PUNCT
cana-5228	278	25	no	no	INTJ
cana-5228	278	26	.	.	PUNCT
cana-5228	279	1	august	august	PROPN
cana-5228	279	2	,	,	PUNCT
cana-5228	279	3	pp	pp	X
cana-5228	279	4	.	.	PUNCT
cana-5228	280	1	17–23	17–23	NUM
cana-5228	280	2	,	,	PUNCT
cana-5228	280	3	1990	1990	NUM
cana-5228	280	4	.	.	PUNCT
cana-5228	281	1	[	[	X
cana-5228	281	2	15	15	NUM
cana-5228	281	3	]	]	X
cana-5228	281	4	j.	j.	PROPN
cana-5228	281	5	lebl	lebl	PROPN
cana-5228	281	6	,	,	PUNCT
cana-5228	281	7	“	"	PUNCT
cana-5228	281	8	basic	basic	ADJ
cana-5228	281	9	analysis	analysis	NOUN
cana-5228	281	10	i	i	PRON
cana-5228	281	11	introduction	introduction	VERB
cana-5228	281	12	to	to	ADP
cana-5228	281	13	real	real	ADJ
cana-5228	281	14	analysis	analysis	NOUN
cana-5228	281	15	ii	ii	NOUN
cana-5228	281	16	,	,	PUNCT
cana-5228	281	17	”	"	PUNCT
cana-5228	281	18	vol	vol	NOUN
cana-5228	281	19	.	.	PUNCT
cana-5228	282	1	i	i	PRON
cana-5228	282	2	,	,	PUNCT
cana-5228	282	3	pp	pp	ADJ
cana-5228	282	4	.	.	PUNCT
cana-5228	282	5	33–34	33–34	NUM
cana-5228	282	6	,	,	PUNCT
cana-5228	282	7	2021	2021	NUM
cana-5228	282	8	.	.	PUNCT
cana-5228	283	1	[	[	X
cana-5228	283	2	16	16	NUM
cana-5228	283	3	]	]	X
cana-5228	283	4	isnani	isnani	NOUN
cana-5228	283	5	,	,	PUNCT
cana-5228	283	6	s.	s.	PROPN
cana-5228	283	7	b.	b.	PROPN
cana-5228	283	8	waluya	waluya	PROPN
cana-5228	283	9	,	,	PUNCT
cana-5228	283	10	rochmad	rochmad	NOUN
cana-5228	283	11	,	,	PUNCT
cana-5228	283	12	dwiyanto	dwiyanto	NOUN
cana-5228	283	13	,	,	PUNCT
cana-5228	283	14	and	and	CCONJ
cana-5228	283	15	t.	t.	PROPN
cana-5228	283	16	s.	s.	PROPN
cana-5228	283	17	n.	n.	PROPN
cana-5228	283	18	asih	asih	PROPN
cana-5228	283	19	,	,	PUNCT
cana-5228	283	20	“	"	PUNCT
cana-5228	283	21	analysis	analysis	NOUN
cana-5228	283	22	of	of	ADP
cana-5228	283	23	problem	problem	NOUN
cana-5228	283	24	-	-	PUNCT
cana-5228	283	25	solving	solve	VERB
cana-5228	283	26	difficulties	difficulty	NOUN
cana-5228	283	27	at	at	ADP
cana-5228	283	28	limits	limit	NOUN
cana-5228	283	29	of	of	ADP
cana-5228	283	30	sequences	sequence	NOUN
cana-5228	283	31	,	,	PUNCT
cana-5228	283	32	”	"	PUNCT
cana-5228	283	33	journal	journal	NOUN
cana-5228	283	34	of	of	ADP
cana-5228	283	35	physics	physics	PROPN
cana-5228	283	36	:	:	PUNCT
cana-5228	283	37	conference	conference	NOUN
cana-5228	283	38	series	series	NOUN
cana-5228	283	39	,	,	PUNCT
cana-5228	283	40	vol	vol	NOUN
cana-5228	283	41	.	.	PROPN
cana-5228	283	42	1722	1722	NUM
cana-5228	283	43	,	,	PUNCT
cana-5228	283	44	no	no	INTJ
cana-5228	283	45	.	.	NOUN
cana-5228	283	46	1	1	NUM
cana-5228	283	47	,	,	PUNCT
cana-5228	283	48	2021	2021	NUM
cana-5228	283	49	,	,	PUNCT
cana-5228	283	50	doi	doi	NOUN
cana-5228	283	51	:	:	PUNCT
cana-5228	283	52	10.1088/17426596/1722/1/012033	10.1088/17426596/1722/1/012033	X
cana-5228	283	53	.	.	PUNCT
cana-5228	283	54	communications	communication	NOUN
cana-5228	283	55	on	on	ADP
cana-5228	283	56	applied	apply	VERB
cana-5228	283	57	nonlinear	nonlinear	ADJ
cana-5228	283	58	analysis	analysis	NOUN
cana-5228	283	59	issn	issn	NOUN
cana-5228	283	60	:	:	PUNCT
cana-5228	283	61	1074	1074	NUM
cana-5228	283	62	-	-	PUNCT
cana-5228	283	63	133x	133x	NUM
cana-5228	283	64	vol	vol	NOUN
cana-5228	283	65	x	x	NOUN
cana-5228	283	66	no	no	INTJ
cana-5228	283	67	.	.	PUNCT
cana-5228	284	1	y	y	NOUN
cana-5228	284	2	(	(	PUNCT
cana-5228	284	3	20	20	NUM
cana-5228	284	4	-	-	PUNCT
cana-5228	284	5	-	-	PUNCT
cana-5228	284	6	)	)	PUNCT
cana-5228	284	7	1248	1248	NUM
cana-5228	284	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	285	1	[	[	X
cana-5228	285	2	17	17	NUM
cana-5228	285	3	]	]	X
cana-5228	285	4	i.	i.	NOUN
cana-5228	285	5	widiati	widiati	PROPN
cana-5228	285	6	and	and	CCONJ
cana-5228	285	7	a.	a.	NOUN
cana-5228	285	8	sthephani	sthephani	PROPN
cana-5228	285	9	,	,	PUNCT
cana-5228	285	10	“	"	PUNCT
cana-5228	285	11	difficulties	difficultie	VERB
cana-5228	285	12	analysis	analysis	NOUN
cana-5228	285	13	of	of	ADP
cana-5228	285	14	mathematics	mathematics	NOUN
cana-5228	285	15	education	education	NOUN
cana-5228	285	16	students	student	NOUN
cana-5228	285	17	on	on	ADP
cana-5228	285	18	the	the	DET
cana-5228	285	19	real	real	ADJ
cana-5228	285	20	analysis	analysis	NOUN
cana-5228	285	21	subject	subject	ADJ
cana-5228	285	22	,	,	PUNCT
cana-5228	285	23	”	"	PUNCT
cana-5228	285	24	journal	journal	NOUN
cana-5228	285	25	of	of	ADP
cana-5228	285	26	physics	physics	PROPN
cana-5228	285	27	:	:	PUNCT
cana-5228	285	28	conference	conference	NOUN
cana-5228	285	29	series	series	NOUN
cana-5228	285	30	,	,	PUNCT
cana-5228	285	31	vol	vol	NOUN
cana-5228	285	32	.	.	PROPN
cana-5228	285	33	1088	1088	NUM
cana-5228	285	34	,	,	PUNCT
cana-5228	285	35	pp	pp	ADP
cana-5228	285	36	.	.	PUNCT
cana-5228	286	1	2–7	2–7	NOUN
cana-5228	286	2	,	,	PUNCT
cana-5228	286	3	2018	2018	NUM
cana-5228	286	4	,	,	PUNCT
cana-5228	286	5	doi	doi	NOUN
cana-5228	286	6	:	:	PUNCT
cana-5228	286	7	10.1088/17426596/1088/1/012037	10.1088/17426596/1088/1/012037	NUM
cana-5228	286	8	.	.	PUNCT
cana-5228	287	1	[	[	X
cana-5228	287	2	18	18	NUM
cana-5228	287	3	]	]	X
cana-5228	287	4	h.	h.	PROPN
cana-5228	287	5	b.	b.	PROPN
cana-5228	287	6	chand	chand	PROPN
cana-5228	287	7	,	,	PUNCT
cana-5228	287	8	“	"	PUNCT
cana-5228	287	9	difficulties	difficulty	NOUN
cana-5228	287	10	experienced	experience	VERB
cana-5228	287	11	by	by	ADP
cana-5228	287	12	undergraduate	undergraduate	ADJ
cana-5228	287	13	students	student	NOUN
cana-5228	287	14	in	in	ADP
cana-5228	287	15	proving	prove	VERB
cana-5228	287	16	theorems	theorem	NOUN
cana-5228	287	17	of	of	ADP
cana-5228	287	18	real	real	ADJ
cana-5228	287	19	analysis	analysis	NOUN
cana-5228	287	20	,	,	PUNCT
cana-5228	287	21	”	"	PUNCT
cana-5228	287	22	scholars	scholar	NOUN
cana-5228	287	23	’	'	PUNCT
cana-5228	287	24	journal	journal	NOUN
cana-5228	287	25	,	,	PUNCT
cana-5228	287	26	no	no	INTJ
cana-5228	287	27	.	.	PUNCT
cana-5228	288	1	january	january	PROPN
cana-5228	288	2	,	,	PUNCT
cana-5228	288	3	pp	pp	ADP
cana-5228	288	4	.	.	PUNCT
cana-5228	289	1	149–163	149–163	NUM
cana-5228	289	2	,	,	PUNCT
cana-5228	289	3	2021	2021	NUM
cana-5228	289	4	,	,	PUNCT
cana-5228	289	5	doi	doi	NOUN
cana-5228	289	6	:	:	PUNCT
cana-5228	289	7	10.3126	10.3126	NUM
cana-5228	289	8	/	/	SYM
cana-5228	289	9	scholars.v4i1.42475	scholars.v4i1.42475	NUM
cana-5228	289	10	.	.	PUNCT
cana-5228	290	1	[	[	X
cana-5228	290	2	19	19	NUM
cana-5228	290	3	]	]	X
cana-5228	290	4	i.	i.	NOUN
cana-5228	290	5	widiati	widiati	PROPN
cana-5228	290	6	and	and	CCONJ
cana-5228	290	7	a.	a.	NOUN
cana-5228	290	8	sthephani	sthephani	PROPN
cana-5228	290	9	,	,	PUNCT
cana-5228	290	10	“	"	PUNCT
cana-5228	290	11	difficulties	difficultie	VERB
cana-5228	290	12	analysis	analysis	NOUN
cana-5228	290	13	of	of	ADP
cana-5228	290	14	mathematics	mathematics	NOUN
cana-5228	290	15	education	education	NOUN
cana-5228	290	16	students	student	NOUN
cana-5228	290	17	on	on	ADP
cana-5228	290	18	the	the	DET
cana-5228	290	19	real	real	ADJ
cana-5228	290	20	analysis	analysis	NOUN
cana-5228	290	21	subject	subject	ADJ
cana-5228	290	22	,	,	PUNCT
cana-5228	290	23	”	"	PUNCT
cana-5228	290	24	journal	journal	NOUN
cana-5228	290	25	of	of	ADP
cana-5228	290	26	physics	physics	PROPN
cana-5228	290	27	:	:	PUNCT
cana-5228	290	28	conference	conference	NOUN
cana-5228	290	29	series	series	NOUN
cana-5228	290	30	,	,	PUNCT
cana-5228	290	31	vol	vol	NOUN
cana-5228	290	32	.	.	PROPN
cana-5228	290	33	1088	1088	NUM
cana-5228	290	34	,	,	PUNCT
cana-5228	290	35	pp	pp	ADP
cana-5228	290	36	.	.	PUNCT
cana-5228	291	1	2–7	2–7	NOUN
cana-5228	291	2	,	,	PUNCT
cana-5228	291	3	2018	2018	NUM
cana-5228	291	4	,	,	PUNCT
cana-5228	291	5	doi	doi	NOUN
cana-5228	291	6	:	:	PUNCT
cana-5228	291	7	10.1088/17426596/1088/1/012037	10.1088/17426596/1088/1/012037	NUM
cana-5228	291	8	.	.	PUNCT
cana-5228	292	1	[	[	X
cana-5228	292	2	20	20	NUM
cana-5228	292	3	]	]	PUNCT
cana-5228	292	4	a.	a.	NOUN
cana-5228	292	5	bordg	bordg	ADV
cana-5228	292	6	,	,	PUNCT
cana-5228	292	7	“	"	PUNCT
cana-5228	292	8	a	a	DET
cana-5228	292	9	replication	replication	NOUN
cana-5228	292	10	crisis	crisis	NOUN
cana-5228	292	11	in	in	ADP
cana-5228	292	12	mathematics	mathematic	NOUN
cana-5228	292	13	?	?	PUNCT
cana-5228	292	14	,	,	PUNCT
cana-5228	292	15	”	"	PUNCT
cana-5228	292	16	mathematical	mathematical	ADJ
cana-5228	292	17	intelligencer	intelligencer	NOUN
cana-5228	292	18	,	,	PUNCT
cana-5228	292	19	vol	vol	NOUN
cana-5228	292	20	.	.	PROPN
cana-5228	293	1	43	43	NUM
cana-5228	293	2	,	,	PUNCT
cana-5228	293	3	no	no	INTJ
cana-5228	293	4	.	.	NOUN
cana-5228	293	5	4	4	NUM
cana-5228	293	6	,	,	PUNCT
cana-5228	293	7	pp	pp	ADJ
cana-5228	293	8	.	.	PUNCT
cana-5228	294	1	48–52	48–52	NUM
cana-5228	294	2	,	,	PUNCT
cana-5228	294	3	2021	2021	NUM
cana-5228	294	4	,	,	PUNCT
cana-5228	294	5	doi	doi	NOUN
cana-5228	294	6	:	:	PUNCT
cana-5228	294	7	10.1007	10.1007	NUM
cana-5228	294	8	/	/	SYM
cana-5228	294	9	s00283	s00283	PROPN
cana-5228	294	10	-	-	PUNCT
cana-5228	294	11	020	020	NUM
cana-5228	294	12	-	-	PUNCT
cana-5228	294	13	10037	10037	NUM
cana-5228	294	14	-	-	SYM
cana-5228	294	15	7	7	NUM
cana-5228	294	16	.	.	PUNCT
cana-5228	295	1	[	[	X
cana-5228	295	2	21	21	NUM
cana-5228	295	3	]	]	PUNCT
cana-5228	295	4	z.	z.	PROPN
cana-5228	295	5	k.	k.	PROPN
cana-5228	295	6	szabo	szabo	PROPN
cana-5228	295	7	,	,	PUNCT
cana-5228	295	8	p.	p.	PROPN
cana-5228	295	9	körtesi	körtesi	PROPN
cana-5228	295	10	,	,	PUNCT
cana-5228	295	11	j.	j.	PROPN
cana-5228	295	12	guncaga	guncaga	PROPN
cana-5228	295	13	,	,	PUNCT
cana-5228	295	14	d.	d.	PROPN
cana-5228	295	15	szabo	szabo	PROPN
cana-5228	295	16	,	,	PUNCT
cana-5228	295	17	and	and	CCONJ
cana-5228	295	18	r.	r.	PROPN
cana-5228	295	19	neag	neag	PROPN
cana-5228	295	20	,	,	PUNCT
cana-5228	295	21	“	"	PUNCT
cana-5228	295	22	examples	example	NOUN
cana-5228	295	23	of	of	ADP
cana-5228	295	24	problem	problem	NOUN
cana-5228	295	25	-	-	PUNCT
cana-5228	295	26	solving	solve	VERB
cana-5228	295	27	strategies	strategy	NOUN
cana-5228	295	28	in	in	ADP
cana-5228	295	29	mathematics	mathematics	NOUN
cana-5228	295	30	education	education	NOUN
cana-5228	295	31	supporting	support	VERB
cana-5228	295	32	the	the	DET
cana-5228	295	33	sustainability	sustainability	NOUN
cana-5228	295	34	of	of	ADP
cana-5228	295	35	21st	21st	ADJ
cana-5228	295	36	-	-	PUNCT
cana-5228	295	37	century	century	NOUN
cana-5228	295	38	skills	skill	NOUN
cana-5228	295	39	,	,	PUNCT
cana-5228	295	40	”	"	PUNCT
cana-5228	295	41	sustainability	sustainability	NOUN
cana-5228	295	42	(	(	PUNCT
cana-5228	295	43	switzerland	switzerland	PROPN
cana-5228	295	44	)	)	PUNCT
cana-5228	295	45	,	,	PUNCT
cana-5228	295	46	vol	vol	NOUN
cana-5228	295	47	.	.	PROPN
cana-5228	295	48	12	12	NUM
cana-5228	295	49	,	,	PUNCT
cana-5228	295	50	no	no	INTJ
cana-5228	295	51	.	.	NOUN
cana-5228	295	52	23	23	NUM
cana-5228	295	53	,	,	PUNCT
cana-5228	295	54	pp	pp	ADJ
cana-5228	295	55	.	.	PUNCT
cana-5228	296	1	1–28	1–28	NOUN
cana-5228	296	2	,	,	PUNCT
cana-5228	296	3	2020	2020	NUM
cana-5228	296	4	,	,	PUNCT
cana-5228	296	5	doi	doi	NOUN
cana-5228	296	6	:	:	PUNCT
cana-5228	296	7	10.3390	10.3390	NUM
cana-5228	296	8	/	/	SYM
cana-5228	296	9	su122310113	su122310113	NOUN
cana-5228	296	10	.	.	PUNCT
cana-5228	297	1	[	[	X
cana-5228	297	2	22	22	NUM
cana-5228	297	3	]	]	PUNCT
cana-5228	297	4	k.	k.	PROPN
cana-5228	297	5	weber	weber	PROPN
cana-5228	297	6	,	,	PUNCT
cana-5228	297	7	m.	m.	NOUN
cana-5228	297	8	inglis	inglis	PROPN
cana-5228	297	9	,	,	PUNCT
cana-5228	297	10	and	and	CCONJ
cana-5228	297	11	j.	j.	PROPN
cana-5228	297	12	p.	p.	PROPN
cana-5228	297	13	mejia	mejia	PROPN
cana-5228	297	14	-	-	PUNCT
cana-5228	297	15	ramos	ramos	PROPN
cana-5228	297	16	,	,	PUNCT
cana-5228	297	17	“	"	PUNCT
cana-5228	297	18	how	how	SCONJ
cana-5228	297	19	mathematicians	mathematician	NOUN
cana-5228	297	20	obtain	obtain	VERB
cana-5228	297	21	conviction	conviction	NOUN
cana-5228	297	22	:	:	PUNCT
cana-5228	297	23	implications	implication	NOUN
cana-5228	297	24	for	for	ADP
cana-5228	297	25	mathematics	mathematics	NOUN
cana-5228	297	26	instruction	instruction	NOUN
cana-5228	297	27	and	and	CCONJ
cana-5228	297	28	research	research	NOUN
cana-5228	297	29	on	on	ADP
cana-5228	297	30	epistemic	epistemic	ADJ
cana-5228	297	31	cognition	cognition	NOUN
cana-5228	297	32	,	,	PUNCT
cana-5228	297	33	”	"	PUNCT
cana-5228	297	34	educational	educational	ADJ
cana-5228	297	35	psychologist	psychologist	NOUN
cana-5228	297	36	,	,	PUNCT
cana-5228	297	37	vol	vol	NOUN
cana-5228	297	38	.	.	PROPN
cana-5228	297	39	49	49	NUM
cana-5228	297	40	,	,	PUNCT
cana-5228	297	41	no	no	INTJ
cana-5228	297	42	.	.	NOUN
cana-5228	297	43	1	1	NUM
cana-5228	297	44	,	,	PUNCT
cana-5228	297	45	pp	pp	ADJ
cana-5228	297	46	.	.	PUNCT
cana-5228	298	1	36–58	36–58	NUM
cana-5228	298	2	,	,	PUNCT
cana-5228	298	3	2014	2014	NUM
cana-5228	298	4	,	,	PUNCT
cana-5228	298	5	doi	doi	NOUN
cana-5228	298	6	:	:	PUNCT
cana-5228	298	7	10.1080/00461520.2013.865527	10.1080/00461520.2013.865527	NUM
cana-5228	298	8	.	.	PUNCT
cana-5228	299	1	[	[	X
cana-5228	299	2	23	23	NUM
cana-5228	299	3	]	]	PUNCT
cana-5228	299	4	g.	g.	PROPN
cana-5228	299	5	güler	güler	PROPN
cana-5228	299	6	,	,	PUNCT
cana-5228	299	7	“	"	PUNCT
cana-5228	299	8	the	the	DET
cana-5228	299	9	difficulties	difficulty	NOUN
cana-5228	299	10	experienced	experience	VERB
cana-5228	299	11	in	in	ADP
cana-5228	299	12	teaching	teach	VERB
cana-5228	299	13	proof	proof	NOUN
cana-5228	299	14	to	to	ADP
cana-5228	299	15	prospective	prospective	ADJ
cana-5228	299	16	mathematics	mathematic	NOUN
cana-5228	299	17	teachers	teacher	NOUN
cana-5228	299	18	:	:	PUNCT
cana-5228	299	19	academician	academician	NOUN
cana-5228	299	20	views	view	NOUN
cana-5228	299	21	,	,	PUNCT
cana-5228	299	22	”	"	PUNCT
cana-5228	299	23	higher	high	ADJ
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cana-5228	299	25	studies	study	NOUN
cana-5228	299	26	,	,	PUNCT
cana-5228	299	27	vol	vol	NOUN
cana-5228	299	28	.	.	PROPN
cana-5228	299	29	6	6	NUM
cana-5228	299	30	,	,	PUNCT
cana-5228	299	31	no	no	INTJ
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cana-5228	299	33	1	1	NUM
cana-5228	299	34	,	,	PUNCT
cana-5228	299	35	p.	p.	NOUN
cana-5228	299	36	145	145	NUM
cana-5228	299	37	,	,	PUNCT
cana-5228	299	38	2016	2016	NUM
cana-5228	299	39	,	,	PUNCT
cana-5228	299	40	doi	doi	NOUN
cana-5228	299	41	:	:	PUNCT
cana-5228	299	42	10.5539	10.5539	NUM
cana-5228	299	43	/	/	SYM
cana-5228	299	44	hes.v6n1p145	hes.v6n1p145	NOUN
cana-5228	299	45	.	.	PUNCT
cana-5228	300	1	[	[	X
cana-5228	300	2	24	24	NUM
cana-5228	300	3	]	]	PUNCT
cana-5228	300	4	v.	v.	ADP
cana-5228	300	5	durand	durand	PROPN
cana-5228	300	6	-	-	PUNCT
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cana-5228	300	8	,	,	PUNCT
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cana-5228	300	10	boero	boero	NOUN
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cana-5228	300	20	d.	d.	PROPN
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cana-5228	300	22	,	,	PUNCT
cana-5228	300	23	examining	examine	VERB
cana-5228	300	24	the	the	DET
cana-5228	300	25	role	role	NOUN
cana-5228	300	26	of	of	ADP
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cana-5228	300	28	in	in	ADP
cana-5228	300	29	teaching	teaching	NOUN
cana-5228	300	30	proof	proof	NOUN
cana-5228	300	31	,	,	PUNCT
cana-5228	300	32	vol	vol	NOUN
cana-5228	300	33	.	.	PROPN
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cana-5228	300	35	.	.	NOUN
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cana-5228	300	37	.	.	PUNCT
cana-5228	301	1	doi	doi	NOUN
cana-5228	301	2	:	:	PUNCT
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cana-5228	301	4	-	-	SYM
cana-5228	301	5	94	94	NUM
cana-5228	301	6	-	-	PUNCT
cana-5228	301	7	007	007	NUM
cana-5228	301	8	-	-	PUNCT
cana-5228	301	9	2129	2129	NUM
cana-5228	301	10	-	-	PUNCT
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cana-5228	301	12	.	.	PUNCT
cana-5228	302	1	[	[	X
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cana-5228	302	13	,	,	PUNCT
cana-5228	302	14	“	"	PUNCT
cana-5228	302	15	optimization	optimization	NOUN
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cana-5228	302	20	models	model	NOUN
cana-5228	302	21	to	to	PART
cana-5228	302	22	increase	increase	VERB
cana-5228	302	23	students	student	NOUN
cana-5228	302	24	’	’	PART
cana-5228	302	25	interest	interest	NOUN
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cana-5228	302	28	,	,	PUNCT
cana-5228	302	29	”	"	PUNCT
cana-5228	302	30	infinity	infinity	NOUN
cana-5228	302	31	journal	journal	NOUN
cana-5228	302	32	,	,	PUNCT
cana-5228	302	33	vol	vol	NOUN
cana-5228	302	34	.	.	PROPN
cana-5228	302	35	9	9	NUM
cana-5228	302	36	,	,	PUNCT
cana-5228	302	37	no	no	INTJ
cana-5228	302	38	.	.	NOUN
cana-5228	302	39	1	1	NUM
cana-5228	302	40	,	,	PUNCT
cana-5228	302	41	p.	p.	NOUN
cana-5228	302	42	69	69	NUM
cana-5228	302	43	,	,	PUNCT
cana-5228	302	44	2020	2020	NUM
cana-5228	302	45	,	,	PUNCT
cana-5228	302	46	doi	doi	NOUN
cana-5228	302	47	:	:	PUNCT
cana-5228	302	48	10.22460	10.22460	NUM
cana-5228	302	49	/	/	SYM
cana-5228	302	50	infinity.v9i1.p69	infinity.v9i1.p69	NOUN
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cana-5228	302	53	.	.	PUNCT
cana-5228	303	1	[	[	X
cana-5228	303	2	26	26	NUM
cana-5228	303	3	]	]	PUNCT
cana-5228	303	4	k.	k.	PROPN
cana-5228	303	5	kniha	kniha	VERB
cana-5228	303	6	et	et	PROPN
cana-5228	303	7	al	al	PROPN
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cana-5228	303	9	,	,	PUNCT
cana-5228	303	10	“	"	PUNCT
cana-5228	303	11	guided	guide	VERB
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cana-5228	303	13	learning	learning	NOUN
cana-5228	303	14	:	:	PUNCT
cana-5228	303	15	a	a	DET
cana-5228	303	16	follow	follow	VERB
cana-5228	303	17	-	-	PUNCT
cana-5228	303	18	up	up	ADP
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cana-5228	303	20	of	of	ADP
cana-5228	303	21	try	try	NOUN
cana-5228	303	22	-	-	PUNCT
cana-5228	303	23	it	it	PRON
cana-5228	303	24	-	-	PUNCT
cana-5228	303	25	yourself	yourself	PRON
cana-5228	303	26	surgery	surgery	NOUN
cana-5228	303	27	and	and	CCONJ
cana-5228	303	28	subsequent	subsequent	ADJ
cana-5228	303	29	video	video	NOUN
cana-5228	303	30	-	-	PUNCT
cana-5228	303	31	assisted	assist	VERB
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cana-5228	303	33	for	for	ADP
cana-5228	303	34	oral	oral	ADJ
cana-5228	303	35	surgical	surgical	ADJ
cana-5228	303	36	skills	skill	NOUN
cana-5228	303	37	training	training	NOUN
cana-5228	303	38	,	,	PUNCT
cana-5228	303	39	”	"	PUNCT
cana-5228	303	40	european	european	ADJ
cana-5228	303	41	journal	journal	NOUN
cana-5228	303	42	of	of	ADP
cana-5228	303	43	dental	dental	ADJ
cana-5228	303	44	education	education	NOUN
cana-5228	303	45	,	,	PUNCT
cana-5228	303	46	vol	vol	NOUN
cana-5228	303	47	.	.	PROPN
cana-5228	303	48	27	27	NUM
cana-5228	303	49	,	,	PUNCT
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cana-5228	303	52	1	1	NUM
cana-5228	303	53	,	,	PUNCT
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cana-5228	303	55	.	.	PUNCT
cana-5228	304	1	29–35	29–35	NUM
cana-5228	304	2	,	,	PUNCT
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cana-5228	304	4	,	,	PUNCT
cana-5228	304	5	doi	doi	NOUN
cana-5228	304	6	:	:	PUNCT
cana-5228	304	7	10.1111	10.1111	NUM
cana-5228	304	8	/	/	SYM
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cana-5228	304	10	.	.	PUNCT
cana-5228	305	1	[	[	X
cana-5228	305	2	27	27	NUM
cana-5228	305	3	]	]	PUNCT
cana-5228	305	4	a.	a.	PROPN
cana-5228	305	5	h.	h.	PROPN
cana-5228	305	6	aagesen	aagesen	PROPN
cana-5228	305	7	et	et	PROPN
cana-5228	305	8	al	al	PROPN
cana-5228	305	9	.	.	PROPN
cana-5228	305	10	,	,	PUNCT
cana-5228	305	11	“	"	PUNCT
cana-5228	305	12	the	the	DET
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cana-5228	305	14	of	of	ADP
cana-5228	305	15	tying	tie	VERB
cana-5228	305	16	yourself	yourself	PRON
cana-5228	305	17	in	in	ADP
cana-5228	305	18	knots	knot	NOUN
cana-5228	305	19	:	:	PUNCT
cana-5228	305	20	unraveling	unravel	VERB
cana-5228	305	21	the	the	DET
cana-5228	305	22	learning	learn	VERB
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cana-5228	305	24	of	of	ADP
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cana-5228	305	28	in	in	ADP
cana-5228	305	29	an	an	DET
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cana-5228	305	33	course	course	NOUN
cana-5228	305	34	,	,	PUNCT
cana-5228	305	35	”	"	PUNCT
cana-5228	305	36	academic	academic	ADJ
cana-5228	305	37	medicine	medicine	NOUN
cana-5228	305	38	,	,	PUNCT
cana-5228	305	39	vol	vol	NOUN
cana-5228	305	40	.	.	PROPN
cana-5228	305	41	95	95	NUM
cana-5228	305	42	,	,	PUNCT
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cana-5228	305	44	.	.	NOUN
cana-5228	305	45	11	11	NUM
cana-5228	305	46	,	,	PUNCT
cana-5228	305	47	pp	pp	PROPN
cana-5228	305	48	.	.	PUNCT
cana-5228	305	49	s37	s37	NOUN
cana-5228	305	50	–	–	PUNCT
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cana-5228	305	54	,	,	PUNCT
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cana-5228	305	56	:	:	PUNCT
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cana-5228	306	1	[	[	X
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cana-5228	306	14	-	-	PUNCT
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cana-5228	306	32	”	"	PUNCT
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cana-5228	306	45	,	,	PUNCT
cana-5228	306	46	pp	pp	ADJ
cana-5228	306	47	.	.	PUNCT
cana-5228	307	1	168–177	168–177	NUM
cana-5228	307	2	,	,	PUNCT
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cana-5228	308	14	“	"	PUNCT
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cana-5228	309	1	721–737	721–737	NUM
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cana-5228	309	4	,	,	PUNCT
cana-5228	309	5	doi	doi	NOUN
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cana-5228	309	12	-	-	PUNCT
cana-5228	309	13	0812	0812	NUM
cana-5228	309	14	-	-	PUNCT
cana-5228	309	15	x.	x.	NOUN
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cana-5228	310	2	30	30	NUM
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cana-5228	310	9	.	.	PROPN
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cana-5228	310	11	“	"	PUNCT
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cana-5228	310	13	working	working	NOUN
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cana-5228	310	15	and	and	CCONJ
cana-5228	310	16	paradigms	paradigm	VERB
cana-5228	310	17	as	as	ADP
cana-5228	310	18	an	an	DET
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cana-5228	310	20	tool	tool	NOUN
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cana-5228	311	6	,	,	PUNCT
cana-5228	311	7	pp	pp	ADJ
cana-5228	311	8	.	.	PUNCT
cana-5228	312	1	204–221	204–221	NUM
cana-5228	312	2	,	,	PUNCT
cana-5228	312	3	2016	2016	NUM
cana-5228	312	4	,	,	PUNCT
cana-5228	312	5	doi	doi	NOUN
cana-5228	312	6	:	:	PUNCT
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cana-5228	312	8	/	/	SYM
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cana-5228	312	10	-	-	PUNCT
cana-5228	312	11	016	016	NUM
cana-5228	312	12	-	-	PUNCT
cana-5228	312	13	0773	0773	NUM
cana-5228	312	14	-	-	PUNCT
cana-5228	312	15	0	0	NUM
cana-5228	312	16	.	.	PUNCT
cana-5228	313	1	communications	communication	NOUN
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cana-5228	313	7	:	:	PUNCT
cana-5228	313	8	1074	1074	NUM
cana-5228	313	9	-	-	PUNCT
cana-5228	313	10	133x	133x	NUM
cana-5228	313	11	vol	vol	NOUN
cana-5228	313	12	x	x	NOUN
cana-5228	313	13	no	no	INTJ
cana-5228	313	14	.	.	PUNCT
cana-5228	314	1	y	y	NOUN
cana-5228	314	2	(	(	PUNCT
cana-5228	314	3	20	20	NUM
cana-5228	314	4	-	-	PUNCT
cana-5228	314	5	-	-	PUNCT
cana-5228	314	6	)	)	PUNCT
cana-5228	314	7	1249	1249	NUM
cana-5228	314	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5228	315	1	[	[	X
cana-5228	315	2	31	31	NUM
cana-5228	315	3	]	]	PUNCT
cana-5228	315	4	a.	a.	NOUN
cana-5228	315	5	kuzniak	kuzniak	PROPN
cana-5228	315	6	and	and	CCONJ
cana-5228	315	7	a.	a.	NOUN
cana-5228	315	8	nechache	nechache	PROPN
cana-5228	315	9	,	,	PUNCT
cana-5228	315	10	“	"	PUNCT
cana-5228	315	11	on	on	ADP
cana-5228	315	12	forms	form	NOUN
cana-5228	315	13	of	of	ADP
cana-5228	315	14	geometric	geometric	ADJ
cana-5228	315	15	work	work	NOUN
cana-5228	315	16	:	:	PUNCT
cana-5228	315	17	a	a	DET
cana-5228	315	18	study	study	NOUN
cana-5228	315	19	with	with	ADP
cana-5228	315	20	pre	pre	ADJ
cana-5228	315	21	-	-	ADJ
cana-5228	315	22	service	service	ADJ
cana-5228	315	23	teachers	teacher	NOUN
cana-5228	315	24	based	base	VERB
cana-5228	315	25	on	on	ADP
cana-5228	315	26	the	the	DET
cana-5228	315	27	theory	theory	NOUN
cana-5228	315	28	of	of	ADP
cana-5228	315	29	mathematical	mathematical	ADJ
cana-5228	315	30	working	working	NOUN
cana-5228	315	31	spaces	space	NOUN
cana-5228	315	32	,	,	PUNCT
cana-5228	315	33	”	"	PUNCT
cana-5228	315	34	educational	educational	ADJ
cana-5228	315	35	studies	study	NOUN
cana-5228	315	36	in	in	ADP
cana-5228	315	37	mathematics	mathematic	NOUN
cana-5228	315	38	,	,	PUNCT
cana-5228	315	39	vol	vol	NOUN
cana-5228	315	40	.	.	PROPN
cana-5228	315	41	106	106	NUM
cana-5228	315	42	,	,	PUNCT
cana-5228	315	43	no	no	INTJ
cana-5228	315	44	.	.	NOUN
cana-5228	315	45	2	2	NUM
cana-5228	315	46	,	,	PUNCT
cana-5228	315	47	pp	pp	ADJ
cana-5228	315	48	.	.	PUNCT
cana-5228	316	1	271–289	271–289	NUM
cana-5228	316	2	,	,	PUNCT
cana-5228	316	3	2021	2021	NUM
cana-5228	316	4	,	,	PUNCT
cana-5228	316	5	doi	doi	NOUN
cana-5228	316	6	:	:	PUNCT
cana-5228	316	7	10.1007	10.1007	NUM
cana-5228	316	8	/	/	SYM
cana-5228	316	9	s10649	s10649	NOUN
cana-5228	316	10	-	-	PUNCT
cana-5228	316	11	020	020	NUM
cana-5228	316	12	-	-	PUNCT
cana-5228	316	13	10011	10011	NUM
cana-5228	316	14	-	-	SYM
cana-5228	316	15	2	2	NUM
cana-5228	316	16	.	.	PUNCT
cana-5228	317	1	[	[	X
cana-5228	317	2	32	32	NUM
cana-5228	317	3	]	]	PUNCT
cana-5228	317	4	m.	m.	NOUN
cana-5228	317	5	artigue	artigue	NOUN
cana-5228	317	6	,	,	PUNCT
cana-5228	317	7	“	"	PUNCT
cana-5228	317	8	mathematical	mathematical	ADJ
cana-5228	317	9	working	working	NOUN
cana-5228	317	10	spaces	space	NOUN
cana-5228	317	11	through	through	ADP
cana-5228	317	12	networking	network	VERB
cana-5228	317	13	lens	len	NOUN
cana-5228	317	14	,	,	PUNCT
cana-5228	317	15	”	"	PUNCT
cana-5228	317	16	zdm	zdm	NOUN
cana-5228	317	17	mathematics	mathematic	NOUN
cana-5228	317	18	education	education	NOUN
cana-5228	317	19	,	,	PUNCT
cana-5228	317	20	vol	vol	NOUN
cana-5228	317	21	.	.	PROPN
cana-5228	317	22	48	48	NUM
cana-5228	317	23	,	,	PUNCT
cana-5228	317	24	no	no	INTJ
cana-5228	317	25	.	.	NOUN
cana-5228	317	26	6	6	NUM
cana-5228	317	27	,	,	PUNCT
cana-5228	317	28	pp	pp	ADJ
cana-5228	317	29	.	.	PUNCT
cana-5228	318	1	935–939	935–939	NUM
cana-5228	318	2	,	,	PUNCT
cana-5228	318	3	2016	2016	NUM
cana-5228	318	4	,	,	PUNCT
cana-5228	318	5	doi	doi	NOUN
cana-5228	318	6	:	:	PUNCT
cana-5228	318	7	10.1007	10.1007	NUM
cana-5228	318	8	/	/	SYM
cana-5228	318	9	s11858	s11858	NOUN
cana-5228	318	10	-	-	PUNCT
cana-5228	318	11	016	016	NUM
cana-5228	318	12	-	-	PUNCT
cana-5228	318	13	0810	0810	NUM
cana-5228	318	14	-	-	SYM
cana-5228	318	15	z.	z.	PROPN
cana-5228	319	1	[	[	X
cana-5228	319	2	33	33	NUM
cana-5228	319	3	]	]	PUNCT
cana-5228	319	4	a.	a.	NOUN
cana-5228	319	5	kuzniak	kuzniak	PROPN
cana-5228	319	6	,	,	PUNCT
cana-5228	319	7	d.	d.	PROPN
cana-5228	319	8	tanguay	tanguay	PROPN
cana-5228	319	9	,	,	PUNCT
cana-5228	319	10	and	and	CCONJ
cana-5228	319	11	i.	i.	PROPN
cana-5228	319	12	elia	elia	PROPN
cana-5228	319	13	,	,	PUNCT
cana-5228	319	14	“	"	PUNCT
cana-5228	319	15	mathematical	mathematical	ADJ
cana-5228	319	16	working	working	NOUN
cana-5228	319	17	spaces	space	NOUN
cana-5228	319	18	in	in	ADP
cana-5228	319	19	schooling	schooling	NOUN
cana-5228	319	20	:	:	PUNCT
cana-5228	319	21	an	an	DET
cana-5228	319	22	introduction	introduction	NOUN
cana-5228	319	23	,	,	PUNCT
cana-5228	319	24	”	"	PUNCT
cana-5228	319	25	zdm	zdm	NOUN
cana-5228	319	26	mathematics	mathematic	NOUN
cana-5228	319	27	education	education	NOUN
cana-5228	319	28	,	,	PUNCT
cana-5228	319	29	vol	vol	NOUN
cana-5228	319	30	.	.	PROPN
cana-5228	319	31	48	48	NUM
cana-5228	319	32	,	,	PUNCT
cana-5228	319	33	no	no	INTJ
cana-5228	319	34	.	.	NOUN
cana-5228	319	35	6	6	NUM
cana-5228	319	36	,	,	PUNCT
cana-5228	319	37	pp	pp	ADJ
cana-5228	319	38	.	.	PUNCT
cana-5228	320	1	721–737	721–737	NUM
cana-5228	320	2	,	,	PUNCT
cana-5228	320	3	2016	2016	NUM
cana-5228	320	4	,	,	PUNCT
cana-5228	320	5	doi	doi	NOUN
cana-5228	320	6	:	:	PUNCT
cana-5228	320	7	10.1007	10.1007	NUM
cana-5228	320	8	/	/	SYM
cana-5228	320	9	s11858	s11858	NOUN
cana-5228	320	10	-	-	PUNCT
cana-5228	320	11	016	016	NUM
cana-5228	320	12	-	-	PUNCT
cana-5228	320	13	0812	0812	NUM
cana-5228	320	14	-	-	PUNCT
cana-5228	320	15	x.	x.	NOUN
cana-5228	321	1	[	[	X
cana-5228	321	2	34	34	NUM
cana-5228	321	3	]	]	X
cana-5228	321	4	l.	l.	PROPN
cana-5228	321	5	m.	m.	PROPN
cana-5228	321	6	angraini	angraini	PROPN
cana-5228	321	7	and	and	CCONJ
cana-5228	321	8	a.	a.	PROPN
cana-5228	321	9	wahyuni	wahyuni	PROPN
cana-5228	321	10	,	,	PUNCT
cana-5228	321	11	“	"	PUNCT
cana-5228	321	12	the	the	DET
cana-5228	321	13	effect	effect	NOUN
cana-5228	321	14	of	of	ADP
cana-5228	321	15	concept	concept	NOUN
cana-5228	321	16	attainment	attainment	ADJ
cana-5228	321	17	model	model	NOUN
cana-5228	321	18	on	on	ADP
cana-5228	321	19	mathematical	mathematical	ADJ
cana-5228	321	20	critical	critical	ADJ
cana-5228	321	21	thinking	thinking	NOUN
cana-5228	321	22	ability	ability	NOUN
cana-5228	321	23	,	,	PUNCT
cana-5228	321	24	”	"	PUNCT
cana-5228	321	25	international	international	ADJ
cana-5228	321	26	journal	journal	NOUN
cana-5228	321	27	of	of	ADP
cana-5228	321	28	instruction	instruction	NOUN
cana-5228	321	29	,	,	PUNCT
cana-5228	321	30	vol	vol	NOUN
cana-5228	321	31	.	.	PROPN
cana-5228	321	32	14	14	NUM
cana-5228	321	33	,	,	PUNCT
cana-5228	321	34	no	no	INTJ
cana-5228	321	35	.	.	NOUN
cana-5228	321	36	1	1	NUM
cana-5228	321	37	,	,	PUNCT
cana-5228	321	38	pp	pp	ADJ
cana-5228	321	39	.	.	PUNCT
cana-5228	322	1	727–742	727–742	NUM
cana-5228	322	2	,	,	PUNCT
cana-5228	322	3	2020	2020	NUM
cana-5228	322	4	,	,	PUNCT
cana-5228	322	5	doi	doi	NOUN
cana-5228	322	6	:	:	PUNCT
cana-5228	322	7	10.29333	10.29333	NUM
cana-5228	322	8	/	/	SYM
cana-5228	322	9	iji.2021.14144a	iji.2021.14144a	ADJ
cana-5228	322	10	.	.	PUNCT
cana-5228	323	1	[	[	X
cana-5228	323	2	35	35	NUM
cana-5228	323	3	]	]	X
cana-5228	323	4	i.	i.	PROPN
cana-5228	323	5	elia	elia	PROPN
cana-5228	323	6	,	,	PUNCT
cana-5228	323	7	s.	s.	PROPN
cana-5228	323	8	özel	özel	PROPN
cana-5228	323	9	,	,	PUNCT
cana-5228	323	10	a.	a.	NOUN
cana-5228	323	11	gagatsis	gagatsis	NOUN
cana-5228	323	12	,	,	PUNCT
cana-5228	323	13	a.	a.	NOUN
cana-5228	323	14	panaoura	panaoura	NOUN
cana-5228	323	15	,	,	PUNCT
cana-5228	323	16	and	and	CCONJ
cana-5228	323	17	z.	z.	PROPN
cana-5228	323	18	e.	e.	PROPN
cana-5228	323	19	y.	y.	PROPN
cana-5228	323	20	özel	özel	PROPN
cana-5228	323	21	,	,	PUNCT
cana-5228	323	22	“	"	PUNCT
cana-5228	323	23	students	student	NOUN
cana-5228	323	24	’	'	PUNCT
cana-5228	323	25	mathematical	mathematical	ADJ
cana-5228	323	26	work	work	NOUN
cana-5228	323	27	on	on	ADP
cana-5228	323	28	absolute	absolute	ADJ
cana-5228	323	29	value	value	NOUN
cana-5228	323	30	:	:	PUNCT
cana-5228	323	31	focusing	focus	VERB
cana-5228	323	32	on	on	ADP
cana-5228	323	33	conceptions	conception	NOUN
cana-5228	323	34	,	,	PUNCT
cana-5228	323	35	errors	error	NOUN
cana-5228	323	36	and	and	CCONJ
cana-5228	323	37	obstacles	obstacle	NOUN
cana-5228	323	38	,	,	PUNCT
cana-5228	323	39	”	"	PUNCT
cana-5228	323	40	zdm	zdm	NOUN
cana-5228	323	41	mathematics	mathematic	NOUN
cana-5228	323	42	education	education	NOUN
cana-5228	323	43	,	,	PUNCT
cana-5228	323	44	vol	vol	NOUN
cana-5228	323	45	.	.	PROPN
cana-5228	324	1	48	48	NUM
cana-5228	324	2	,	,	PUNCT
cana-5228	324	3	no	no	INTJ
cana-5228	324	4	.	.	NOUN
cana-5228	324	5	6	6	NUM
cana-5228	324	6	,	,	PUNCT
cana-5228	324	7	pp	pp	ADJ
cana-5228	324	8	.	.	PUNCT
cana-5228	325	1	895–907	895–907	NUM
cana-5228	325	2	,	,	PUNCT
cana-5228	325	3	2016	2016	NUM
cana-5228	325	4	,	,	PUNCT
cana-5228	325	5	doi	doi	NOUN
cana-5228	325	6	:	:	PUNCT
cana-5228	325	7	10.1007	10.1007	NUM
cana-5228	325	8	/	/	SYM
cana-5228	325	9	s11858	s11858	NOUN
cana-5228	325	10	-	-	PUNCT
cana-5228	325	11	016	016	NUM
cana-5228	325	12	-	-	PUNCT
cana-5228	325	13	0780	0780	NUM
cana-5228	325	14	-	-	SYM
cana-5228	325	15	1	1	NUM
cana-5228	325	16	.	.	PUNCT
cana-5228	326	1	[	[	X
cana-5228	326	2	36	36	NUM
cana-5228	326	3	]	]	X
cana-5228	326	4	c.	c.	NOUN
cana-5228	326	5	derouet	derouet	PROPN
cana-5228	326	6	and	and	CCONJ
cana-5228	326	7	b.	b.	PROPN
cana-5228	326	8	parzysz	parzysz	PROPN
cana-5228	326	9	,	,	PUNCT
cana-5228	326	10	“	"	PUNCT
cana-5228	326	11	how	how	SCONJ
cana-5228	326	12	can	can	AUX
cana-5228	326	13	histograms	histogram	NOUN
cana-5228	326	14	be	be	AUX
cana-5228	326	15	useful	useful	ADJ
cana-5228	326	16	for	for	ADP
cana-5228	326	17	introducing	introduce	VERB
cana-5228	326	18	continuous	continuous	ADJ
cana-5228	326	19	probability	probability	NOUN
cana-5228	326	20	distributions	distribution	NOUN
cana-5228	326	21	?	?	PUNCT
cana-5228	326	22	,	,	PUNCT
cana-5228	326	23	”	"	PUNCT
cana-5228	326	24	zdm	zdm	NOUN
cana-5228	326	25	mathematics	mathematic	NOUN
cana-5228	326	26	education	education	NOUN
cana-5228	326	27	,	,	PUNCT
cana-5228	326	28	vol	vol	NOUN
cana-5228	326	29	.	.	PROPN
cana-5228	326	30	48	48	NUM
cana-5228	326	31	,	,	PUNCT
cana-5228	326	32	no	no	INTJ
cana-5228	326	33	.	.	NOUN
cana-5228	326	34	6	6	NUM
cana-5228	326	35	,	,	PUNCT
cana-5228	326	36	pp	pp	ADJ
cana-5228	326	37	.	.	PUNCT
cana-5228	327	1	757–773	757–773	NUM
cana-5228	327	2	,	,	PUNCT
cana-5228	327	3	2016	2016	NUM
cana-5228	327	4	,	,	PUNCT
cana-5228	327	5	doi	doi	NOUN
cana-5228	327	6	:	:	PUNCT
cana-5228	327	7	10.1007	10.1007	NUM
cana-5228	327	8	/	/	SYM
cana-5228	327	9	s11858016	s11858016	PROPN
cana-5228	327	10	-	-	PUNCT
cana-5228	327	11	0769	0769	NUM
cana-5228	327	12	-	-	SYM
cana-5228	327	13	9	9	NUM
cana-5228	327	14	.	.	PUNCT
cana-5228	328	1	[	[	X
cana-5228	328	2	37	37	NUM
cana-5228	328	3	]	]	PUNCT
cana-5228	328	4	t.	t.	PROPN
cana-5228	328	5	bauer	bauer	PROPN
cana-5228	328	6	,	,	PUNCT
cana-5228	328	7	r.	r.	PROPN
cana-5228	328	8	biehler	biehler	NOUN
cana-5228	328	9	,	,	PUNCT
cana-5228	328	10	and	and	CCONJ
cana-5228	328	11	e.	e.	PROPN
cana-5228	328	12	lankeit	lankeit	PROPN
cana-5228	328	13	,	,	PUNCT
cana-5228	328	14	“	"	PUNCT
cana-5228	328	15	conceptests	conceptest	NOUN
cana-5228	328	16	in	in	ADP
cana-5228	328	17	undergraduate	undergraduate	ADJ
cana-5228	328	18	real	real	ADJ
cana-5228	328	19	analysis	analysis	NOUN
cana-5228	328	20	:	:	PUNCT
cana-5228	328	21	comparing	compare	VERB
cana-5228	328	22	peer	peer	NOUN
cana-5228	328	23	discussion	discussion	NOUN
cana-5228	328	24	and	and	CCONJ
cana-5228	328	25	instructional	instructional	ADJ
cana-5228	328	26	explanation	explanation	NOUN
cana-5228	328	27	settings	setting	NOUN
cana-5228	328	28	,	,	PUNCT
cana-5228	328	29	”	"	PUNCT
cana-5228	328	30	international	international	ADJ
cana-5228	328	31	journal	journal	NOUN
cana-5228	328	32	of	of	ADP
cana-5228	328	33	research	research	NOUN
cana-5228	328	34	in	in	ADP
cana-5228	328	35	undergraduate	undergraduate	ADJ
cana-5228	328	36	mathematics	mathematic	NOUN
cana-5228	328	37	education	education	NOUN
cana-5228	328	38	,	,	PUNCT
cana-5228	328	39	vol	vol	NOUN
cana-5228	328	40	.	.	PROPN
cana-5228	328	41	9	9	NUM
cana-5228	328	42	,	,	PUNCT
cana-5228	328	43	no	no	INTJ
cana-5228	328	44	.	.	NOUN
cana-5228	328	45	2	2	NUM
cana-5228	328	46	,	,	PUNCT
cana-5228	328	47	pp	pp	ADJ
cana-5228	328	48	.	.	PUNCT
cana-5228	329	1	426–460	426–460	NUM
cana-5228	329	2	,	,	PUNCT
cana-5228	329	3	2022	2022	NUM
cana-5228	329	4	,	,	PUNCT
cana-5228	329	5	doi	doi	NOUN
cana-5228	329	6	:	:	PUNCT
cana-5228	329	7	10.1007	10.1007	NUM
cana-5228	329	8	/	/	SYM
cana-5228	329	9	s40753	s40753	PROPN
cana-5228	329	10	-	-	PUNCT
cana-5228	329	11	022	022	NUM
cana-5228	329	12	-	-	PUNCT
cana-5228	329	13	00167	00167	NUM
cana-5228	329	14	-	-	PUNCT
cana-5228	329	15	y.	y.	NOUN
cana-5228	330	1	[	[	X
cana-5228	330	2	38	38	NUM
cana-5228	330	3	]	]	PUNCT
cana-5228	330	4	a.	a.	NOUN
cana-5228	330	5	bacelo	bacelo	NOUN
cana-5228	330	6	and	and	CCONJ
cana-5228	330	7	i.	i.	PROPN
cana-5228	330	8	m.	m.	PROPN
cana-5228	330	9	gómez	gómez	PROPN
cana-5228	330	10	-	-	PUNCT
cana-5228	330	11	chacón	chacón	PROPN
cana-5228	330	12	,	,	PUNCT
cana-5228	330	13	“	"	PUNCT
cana-5228	330	14	characterising	characterise	VERB
cana-5228	330	15	algorithmic	algorithmic	ADJ
cana-5228	330	16	thinking	thinking	NOUN
cana-5228	330	17	:	:	PUNCT
cana-5228	330	18	a	a	DET
cana-5228	330	19	university	university	NOUN
cana-5228	330	20	study	study	NOUN
cana-5228	330	21	of	of	ADP
cana-5228	330	22	unplugged	unplugged	PROPN
cana-5228	330	23	activities	activity	NOUN
cana-5228	330	24	✰	✰	VERB
cana-5228	330	25	,	,	PUNCT
cana-5228	330	26	”	"	PUNCT
cana-5228	330	27	thinking	thinking	NOUN
cana-5228	330	28	skills	skill	NOUN
cana-5228	330	29	and	and	CCONJ
cana-5228	330	30	creativity	creativity	NOUN
cana-5228	330	31	,	,	PUNCT
cana-5228	330	32	vol	vol	NOUN
cana-5228	330	33	.	.	PROPN
cana-5228	331	1	48	48	NUM
cana-5228	331	2	,	,	PUNCT
cana-5228	331	3	no	no	INTJ
cana-5228	331	4	.	.	PUNCT
cana-5228	332	1	december	december	PROPN
cana-5228	332	2	2022	2022	NUM
cana-5228	332	3	,	,	PUNCT
cana-5228	332	4	2023	2023	NUM
cana-5228	332	5	,	,	PUNCT
cana-5228	332	6	doi	doi	NOUN
cana-5228	332	7	:	:	PUNCT
cana-5228	332	8	10.1016	10.1016	NUM
cana-5228	332	9	/	/	SYM
cana-5228	332	10	j.tsc.2023.101284	j.tsc.2023.101284	PROPN
cana-5228	332	11	.	.	PUNCT
cana-5228	333	1	[	[	X
cana-5228	333	2	39	39	NUM
cana-5228	333	3	]	]	PUNCT
cana-5228	333	4	“	"	PUNCT
cana-5228	333	5	bartle	bartle	PROPN
cana-5228	333	6	r.g	r.g	PROPN
cana-5228	333	7	.	.	PROPN
cana-5228	333	8	,	,	PUNCT
cana-5228	333	9	sherbert	sherbert	PROPN
cana-5228	333	10	d.r	d.r	PROPN
cana-5228	333	11	.	.	PROPN
cana-5228	333	12	introduction	introduction	NOUN
cana-5228	333	13	to	to	ADP
cana-5228	333	14	real	real	ADJ
cana-5228	333	15	analysis	analysis	NOUN
cana-5228	333	16	(	(	PUNCT
cana-5228	333	17	3ed	3ed	NOUN
cana-5228	333	18	.	.	PUNCT
cana-5228	333	19	,	,	PUNCT
cana-5228	333	20	wiley	wiley	PROPN
cana-5228	333	21	,	,	PUNCT
cana-5228	333	22	2000)(isbn	2000)(isbn	NUM
cana-5228	333	23	0471321486)(k)(t)(o)(400s)_mcet.pdf	0471321486)(k)(t)(o)(400s)_mcet.pdf	PROPN
cana-5228	333	24	.	.	PUNCT
cana-5228	333	25	”	"	PUNCT
cana-5228	334	1	[	[	X
cana-5228	334	2	40	40	NUM
cana-5228	334	3	]	]	PUNCT
cana-5228	334	4	r.	r.	PROPN
cana-5228	334	5	h.	h.	PROPN
cana-5228	334	6	ristanto	ristanto	PROPN
cana-5228	334	7	,	,	PUNCT
cana-5228	334	8	a.	a.	PROPN
cana-5228	334	9	s.	s.	PROPN
cana-5228	334	10	ahmad	ahmad	PROPN
cana-5228	334	11	,	,	PUNCT
cana-5228	334	12	and	and	CCONJ
cana-5228	334	13	r.	r.	PROPN
cana-5228	334	14	komala	komala	PROPN
cana-5228	334	15	,	,	PUNCT
cana-5228	334	16	“	"	PUNCT
cana-5228	334	17	critical	critical	ADJ
cana-5228	334	18	thinking	thinking	NOUN
cana-5228	334	19	skills	skill	NOUN
cana-5228	334	20	of	of	ADP
cana-5228	334	21	environmental	environmental	ADJ
cana-5228	334	22	changes	change	NOUN
cana-5228	334	23	:	:	PUNCT
cana-5228	334	24	a	a	DET
cana-5228	334	25	biological	biological	ADJ
cana-5228	334	26	instruction	instruction	NOUN
cana-5228	334	27	using	use	VERB
cana-5228	334	28	guided	guide	VERB
cana-5228	334	29	discovery	discovery	NOUN
cana-5228	334	30	learning	learning	NOUN
cana-5228	334	31	-	-	PUNCT
cana-5228	334	32	argument	argument	NOUN
cana-5228	334	33	mapping	mapping	NOUN
cana-5228	334	34	(	(	PUNCT
cana-5228	334	35	gdl	gdl	NOUN
cana-5228	334	36	-	-	PUNCT
cana-5228	334	37	am	am	NOUN
cana-5228	334	38	)	)	PUNCT
cana-5228	334	39	,	,	PUNCT
cana-5228	334	40	”	"	PUNCT
cana-5228	334	41	participatory	participatory	ADJ
cana-5228	334	42	educational	educational	ADJ
cana-5228	334	43	research	research	NOUN
cana-5228	334	44	,	,	PUNCT
cana-5228	334	45	vol	vol	NOUN
cana-5228	334	46	.	.	PROPN
cana-5228	334	47	9	9	NUM
cana-5228	334	48	,	,	PUNCT
cana-5228	334	49	no	no	INTJ
cana-5228	334	50	.	.	NOUN
cana-5228	334	51	1	1	NUM
cana-5228	334	52	,	,	PUNCT
cana-5228	334	53	pp	pp	ADJ
cana-5228	334	54	.	.	PUNCT
cana-5228	335	1	173–191	173–191	NUM
cana-5228	335	2	,	,	PUNCT
cana-5228	335	3	2022	2022	NUM
cana-5228	335	4	,	,	PUNCT
cana-5228	335	5	doi	doi	NOUN
cana-5228	335	6	:	:	PUNCT
cana-5228	335	7	10.17275	10.17275	NUM
cana-5228	335	8	/	/	SYM
cana-5228	335	9	per.22.10.9.1	per.22.10.9.1	NOUN
cana-5228	335	10	.	.	PUNCT
cana-5228	336	1	[	[	X
cana-5228	336	2	41	41	X
cana-5228	336	3	]	]	PUNCT
cana-5228	336	4	v.	v.	ADP
cana-5228	336	5	p.	p.	PROPN
cana-5228	336	6	clark	clark	PROPN
cana-5228	336	7	et	et	PROPN
cana-5228	336	8	al	al	PROPN
cana-5228	336	9	.	.	PROPN
cana-5228	336	10	,	,	PUNCT
cana-5228	336	11	“	"	PUNCT
cana-5228	336	12	tdcs	tdcs	PROPN
cana-5228	336	13	guided	guide	VERB
cana-5228	336	14	using	use	VERB
cana-5228	336	15	fmri	fmri	PROPN
cana-5228	336	16	significantly	significantly	ADV
cana-5228	336	17	accelerates	accelerate	VERB
cana-5228	336	18	learning	learn	VERB
cana-5228	336	19	to	to	PART
cana-5228	336	20	identify	identify	VERB
cana-5228	336	21	concealed	conceal	VERB
cana-5228	336	22	objects	object	NOUN
cana-5228	336	23	,	,	PUNCT
cana-5228	336	24	”	"	PUNCT
cana-5228	336	25	neuroimage	neuroimage	NOUN
cana-5228	336	26	,	,	PUNCT
cana-5228	336	27	vol	vol	NOUN
cana-5228	336	28	.	.	PROPN
cana-5228	336	29	59	59	NUM
cana-5228	336	30	,	,	PUNCT
cana-5228	336	31	no	no	INTJ
cana-5228	336	32	.	.	NOUN
cana-5228	336	33	1	1	NUM
cana-5228	336	34	,	,	PUNCT
cana-5228	336	35	pp	pp	ADJ
cana-5228	336	36	.	.	PUNCT
cana-5228	337	1	117–128	117–128	NUM
cana-5228	337	2	,	,	PUNCT
cana-5228	337	3	2012	2012	NUM
cana-5228	337	4	,	,	PUNCT
cana-5228	337	5	doi	doi	NOUN
cana-5228	337	6	:	:	PUNCT
cana-5228	337	7	10.1016	10.1016	NUM
cana-5228	337	8	/	/	SYM
cana-5228	337	9	j.neuroimage.2010.11.036	j.neuroimage.2010.11.036	PROPN
cana-5228	337	10	.	.	PUNCT
cana-5228	338	1	[	[	X
cana-5228	338	2	42	42	NUM
cana-5228	338	3	]	]	X
cana-5228	338	4	d.	d.	PROPN
cana-5228	338	5	m.	m.	PROPN
cana-5228	338	6	bressoud	bressoud	PROPN
cana-5228	338	7	,	,	PUNCT
cana-5228	338	8	“	"	PUNCT
cana-5228	338	9	true	true	ADJ
cana-5228	338	10	grit	grit	NOUN
cana-5228	338	11	in	in	ADP
cana-5228	338	12	real	real	ADJ
cana-5228	338	13	analysis	analysis	NOUN
cana-5228	338	14	,	,	PUNCT
cana-5228	338	15	”	"	PUNCT
cana-5228	338	16	mathematics	mathematics	NOUN
cana-5228	338	17	magazine	magazine	NOUN
cana-5228	338	18	,	,	PUNCT
cana-5228	338	19	vol	vol	NOUN
cana-5228	338	20	.	.	PROPN
cana-5228	339	1	93	93	NUM
cana-5228	339	2	,	,	PUNCT
cana-5228	339	3	no	no	INTJ
cana-5228	339	4	.	.	NOUN
cana-5228	339	5	4	4	NUM
cana-5228	339	6	,	,	PUNCT
cana-5228	339	7	pp	pp	ADJ
cana-5228	339	8	.	.	PUNCT
cana-5228	340	1	295–300	295–300	NUM
cana-5228	340	2	,	,	PUNCT
cana-5228	340	3	2020	2020	NUM
cana-5228	340	4	,	,	PUNCT
cana-5228	340	5	doi	doi	NOUN
cana-5228	340	6	:	:	PUNCT
cana-5228	340	7	10.1080/0025570x.2020.1790967	10.1080/0025570x.2020.1790967	NOUN
cana-5228	340	8	.	.	PUNCT
cana-5228	341	1	[	[	X
cana-5228	341	2	43	43	NUM
cana-5228	341	3	]	]	X
cana-5228	341	4	d.	d.	PROPN
cana-5228	341	5	dumitraşcu	dumitraşcu	PROPN
cana-5228	341	6	,	,	PUNCT
cana-5228	341	7	“	"	PUNCT
cana-5228	341	8	integration	integration	NOUN
cana-5228	341	9	of	of	ADP
cana-5228	341	10	guided	guide	VERB
cana-5228	341	11	discovery	discovery	NOUN
cana-5228	341	12	in	in	ADP
cana-5228	341	13	the	the	DET
cana-5228	341	14	teaching	teaching	NOUN
cana-5228	341	15	of	of	ADP
cana-5228	341	16	real	real	ADJ
cana-5228	341	17	analysis	analysis	NOUN
cana-5228	341	18	,	,	PUNCT
cana-5228	341	19	”	"	PUNCT
cana-5228	341	20	primus	primus	PROPN
cana-5228	341	21	,	,	PUNCT
cana-5228	341	22	vol	vol	NOUN
cana-5228	341	23	.	.	PROPN
cana-5228	341	24	19	19	NUM
cana-5228	341	25	,	,	PUNCT
cana-5228	341	26	no	no	INTJ
cana-5228	341	27	.	.	NOUN
cana-5228	341	28	4	4	NUM
cana-5228	341	29	,	,	PUNCT
cana-5228	341	30	pp	pp	ADJ
cana-5228	341	31	.	.	PUNCT
cana-5228	342	1	370–380	370–380	NUM
cana-5228	342	2	,	,	PUNCT
cana-5228	342	3	2009	2009	NUM
cana-5228	342	4	,	,	PUNCT
cana-5228	342	5	doi	doi	NOUN
cana-5228	342	6	:	:	PUNCT
cana-5228	342	7	10.1080/10511970802072368	10.1080/10511970802072368	NUM
cana-5228	342	8	.	.	PUNCT
cana-5228	343	1	[	[	X
cana-5228	343	2	44	44	NUM
cana-5228	343	3	]	]	PUNCT
cana-5228	343	4	k.	k.	PROPN
cana-5228	343	5	weber	weber	PROPN
cana-5228	343	6	,	,	PUNCT
cana-5228	343	7	“	"	PUNCT
cana-5228	343	8	effective	effective	ADJ
cana-5228	343	9	proof	proof	NOUN
cana-5228	343	10	reading	read	VERB
cana-5228	343	11	strategies	strategy	NOUN
cana-5228	343	12	for	for	ADP
cana-5228	343	13	comprehending	comprehending	ADJ
cana-5228	343	14	mathematical	mathematical	ADJ
cana-5228	343	15	proofs	proof	NOUN
cana-5228	343	16	,	,	PUNCT
cana-5228	343	17	”	"	PUNCT
cana-5228	343	18	international	international	ADJ
cana-5228	343	19	journal	journal	NOUN
cana-5228	343	20	of	of	ADP
cana-5228	343	21	research	research	NOUN
cana-5228	343	22	in	in	ADP
cana-5228	343	23	undergraduate	undergraduate	ADJ
cana-5228	343	24	mathematics	mathematic	NOUN
cana-5228	343	25	education	education	NOUN
cana-5228	343	26	,	,	PUNCT
cana-5228	343	27	vol	vol	NOUN
cana-5228	343	28	.	.	PROPN
cana-5228	343	29	1	1	NUM
cana-5228	343	30	,	,	PUNCT
cana-5228	343	31	no	no	INTJ
cana-5228	343	32	.	.	NOUN
cana-5228	343	33	3	3	NUM
cana-5228	343	34	,	,	PUNCT
cana-5228	343	35	pp	pp	ADJ
cana-5228	343	36	.	.	PUNCT
cana-5228	344	1	289–314	289–314	NUM
cana-5228	344	2	,	,	PUNCT
cana-5228	344	3	2015	2015	NUM
cana-5228	344	4	,	,	PUNCT
cana-5228	344	5	doi	doi	NOUN
cana-5228	344	6	:	:	PUNCT
cana-5228	344	7	10.1007	10.1007	NUM
cana-5228	344	8	/	/	SYM
cana-5228	344	9	s40753	s40753	PROPN
cana-5228	344	10	-	-	PUNCT
cana-5228	344	11	015	015	NUM
cana-5228	344	12	-	-	PUNCT
cana-5228	344	13	0011	0011	NUM
cana-5228	344	14	-	-	PUNCT
cana-5228	344	15	0	0	NUM
cana-5228	344	16	.	.	PUNCT
cana-5228	345	1	[	[	X
cana-5228	345	2	45	45	NUM
cana-5228	345	3	]	]	PUNCT
cana-5228	345	4	a.	a.	NOUN
cana-5228	345	5	stefanowicz	stefanowicz	NOUN
cana-5228	345	6	and	and	CCONJ
cana-5228	345	7	j.	j.	PROPN
cana-5228	345	8	kyle	kyle	PROPN
cana-5228	345	9	,	,	PUNCT
cana-5228	345	10	“	"	PUNCT
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cana-5228	345	12	and	and	CCONJ
cana-5228	345	13	mathematical	mathematical	ADJ
cana-5228	345	14	reasoning	reasoning	NOUN
cana-5228	345	15	university	university	NOUN
cana-5228	345	16	of	of	ADP
cana-5228	345	17	birmingham	birmingham	PROPN
cana-5228	345	18	,	,	PUNCT
cana-5228	345	19	”	"	PUNCT
cana-5228	345	20	no	no	NOUN
cana-5228	345	21	.	.	PUNCT
cana-5228	346	1	september	september	PROPN
cana-5228	346	2	,	,	PUNCT
cana-5228	346	3	pp	pp	PROPN
cana-5228	346	4	.	.	PUNCT
cana-5228	347	1	6–49	6–49	NOUN
cana-5228	347	2	,	,	PUNCT
cana-5228	347	3	2014	2014	NUM
cana-5228	347	4	.	.	PUNCT
cana-5228	348	1	communications	communication	NOUN
cana-5228	348	2	on	on	ADP
cana-5228	348	3	applied	apply	VERB
cana-5228	348	4	nonlinear	nonlinear	ADJ
cana-5228	348	5	analysis	analysis	NOUN
cana-5228	348	6	issn	issn	NOUN
cana-5228	348	7	:	:	PUNCT
cana-5228	348	8	1074	1074	NUM
cana-5228	348	9	-	-	PUNCT
cana-5228	348	10	133x	133x	NUM
cana-5228	348	11	vol	vol	NOUN
cana-5228	348	12	x	x	NOUN
cana-5228	348	13	no	no	INTJ
cana-5228	348	14	.	.	PUNCT
cana-5228	349	1	y	y	NOUN
cana-5228	349	2	(	(	PUNCT
cana-5228	349	3	20	20	NUM
cana-5228	349	4	-	-	PUNCT
cana-5228	349	5	-	-	PUNCT
cana-5228	349	6	)	)	PUNCT
cana-5228	349	7	1250	1250	NUM
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cana-5228	350	2	46	46	NUM
cana-5228	350	3	]	]	PUNCT
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cana-5228	350	7	a.	a.	NOUN
cana-5228	350	8	nechache	nechache	PROPN
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cana-5228	350	10	“	"	PUNCT
cana-5228	350	11	on	on	ADP
cana-5228	350	12	forms	form	NOUN
cana-5228	350	13	of	of	ADP
cana-5228	350	14	geometric	geometric	ADJ
cana-5228	350	15	work	work	NOUN
cana-5228	350	16	:	:	PUNCT
cana-5228	350	17	a	a	DET
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cana-5228	350	19	with	with	ADP
cana-5228	350	20	pre	pre	ADJ
cana-5228	350	21	-	-	ADJ
cana-5228	350	22	service	service	ADJ
cana-5228	350	23	teachers	teacher	NOUN
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cana-5228	350	25	on	on	ADP
cana-5228	350	26	the	the	DET
cana-5228	350	27	theory	theory	NOUN
cana-5228	350	28	of	of	ADP
cana-5228	350	29	mathematical	mathematical	ADJ
cana-5228	350	30	working	working	NOUN
cana-5228	350	31	spaces	space	NOUN
cana-5228	350	32	,	,	PUNCT
cana-5228	350	33	”	"	PUNCT
cana-5228	350	34	educational	educational	ADJ
cana-5228	350	35	studies	study	NOUN
cana-5228	350	36	in	in	ADP
cana-5228	350	37	mathematics	mathematic	NOUN
cana-5228	350	38	,	,	PUNCT
cana-5228	350	39	vol	vol	NOUN
cana-5228	350	40	.	.	PROPN
cana-5228	350	41	106	106	NUM
cana-5228	350	42	,	,	PUNCT
cana-5228	350	43	no	no	INTJ
cana-5228	350	44	.	.	NOUN
cana-5228	350	45	2	2	NUM
cana-5228	350	46	,	,	PUNCT
cana-5228	350	47	pp	pp	ADJ
cana-5228	350	48	.	.	PUNCT
cana-5228	351	1	271–289	271–289	NUM
cana-5228	351	2	,	,	PUNCT
cana-5228	351	3	2021	2021	NUM
cana-5228	351	4	,	,	PUNCT
cana-5228	351	5	doi	doi	NOUN
cana-5228	351	6	:	:	PUNCT
cana-5228	351	7	10.1007	10.1007	NUM
cana-5228	351	8	/	/	SYM
cana-5228	351	9	s10649	s10649	NOUN
cana-5228	351	10	-	-	PUNCT
cana-5228	351	11	020	020	NUM
cana-5228	351	12	-	-	PUNCT
cana-5228	351	13	10011	10011	NUM
cana-5228	351	14	-	-	SYM
cana-5228	351	15	2	2	NUM
cana-5228	351	16	.	.	PUNCT
cana-5228	352	1	[	[	X
cana-5228	352	2	47	47	NUM
cana-5228	352	3	]	]	PUNCT
cana-5228	352	4	m.	m.	NOUN
cana-5228	352	5	rodd	rodd	PROPN
cana-5228	352	6	,	,	PUNCT
cana-5228	352	7	“	"	PUNCT
cana-5228	352	8	transitioning	transition	VERB
cana-5228	352	9	from	from	ADP
cana-5228	352	10	‘	'	PUNCT
cana-5228	352	11	it	it	PRON
cana-5228	352	12	looks	look	VERB
cana-5228	352	13	like	like	ADP
cana-5228	352	14	’	'	PUNCT
cana-5228	352	15	to	to	PART
cana-5228	352	16	‘	'	PUNCT
cana-5228	352	17	it	it	PRON
cana-5228	352	18	has	have	AUX
cana-5228	352	19	to	to	PART
cana-5228	352	20	be	be	AUX
cana-5228	352	21	’	'	PUNCT
cana-5228	352	22	in	in	ADP
cana-5228	352	23	geometrical	geometrical	ADJ
cana-5228	352	24	workspaces	workspace	NOUN
cana-5228	352	25	:	:	PUNCT
cana-5228	352	26	affect	affect	VERB
cana-5228	352	27	and	and	CCONJ
cana-5228	352	28	nearto	nearto	PROPN
cana-5228	352	29	-	-	PUNCT
cana-5228	352	30	me	i	PRON
cana-5228	352	31	attention	attention	NOUN
cana-5228	352	32	,	,	PUNCT
cana-5228	352	33	”	"	PUNCT
cana-5228	352	34	bolema	bolema	PROPN
cana-5228	352	35	mathematics	mathematics	PROPN
cana-5228	352	36	education	education	PROPN
cana-5228	352	37	bulletin	bulletin	NOUN
cana-5228	352	38	,	,	PUNCT
cana-5228	352	39	vol	vol	NOUN
cana-5228	352	40	.	.	PROPN
cana-5228	352	41	30	30	NUM
cana-5228	352	42	,	,	PUNCT
cana-5228	352	43	no	no	INTJ
cana-5228	352	44	.	.	NOUN
cana-5228	352	45	54	54	NUM
cana-5228	352	46	,	,	PUNCT
cana-5228	352	47	pp	pp	ADJ
cana-5228	352	48	.	.	PUNCT
cana-5228	353	1	142–164	142–164	NUM
cana-5228	353	2	,	,	PUNCT
cana-5228	353	3	2016	2016	NUM
cana-5228	353	4	,	,	PUNCT
cana-5228	353	5	doi	doi	NOUN
cana-5228	353	6	:	:	PUNCT
cana-5228	353	7	10.1590/1980	10.1590/1980	NUM
cana-5228	353	8	-	-	PUNCT
cana-5228	353	9	4415v30n54a07	4415v30n54a07	NOUN
cana-5228	353	10	.	.	PUNCT
cana-5228	354	1	[	[	X
cana-5228	354	2	48	48	NUM
cana-5228	354	3	]	]	PUNCT
cana-5228	354	4	m.	m.	NOUN
cana-5228	354	5	santos	santos	PROPN
cana-5228	354	6	-	-	PUNCT
cana-5228	354	7	trigo	trigo	PROPN
cana-5228	354	8	,	,	PUNCT
cana-5228	354	9	l.	l.	PROPN
cana-5228	354	10	moreno	moreno	PROPN
cana-5228	354	11	-	-	PUNCT
cana-5228	354	12	armella	armella	PROPN
cana-5228	354	13	,	,	PUNCT
cana-5228	354	14	and	and	CCONJ
cana-5228	354	15	m.	m.	PROPN
cana-5228	354	16	camacho	camacho	PROPN
cana-5228	354	17	-	-	PUNCT
cana-5228	354	18	machín	machín	NOUN
cana-5228	354	19	,	,	PUNCT
cana-5228	354	20	“	"	PUNCT
cana-5228	354	21	problem	problem	NOUN
cana-5228	354	22	solving	solving	NOUN
cana-5228	354	23	and	and	CCONJ
cana-5228	354	24	the	the	DET
cana-5228	354	25	use	use	NOUN
cana-5228	354	26	of	of	ADP
cana-5228	354	27	digital	digital	ADJ
cana-5228	354	28	technologies	technology	NOUN
cana-5228	354	29	within	within	ADP
cana-5228	354	30	the	the	DET
cana-5228	354	31	mathematical	mathematical	ADJ
cana-5228	354	32	working	work	VERB
cana-5228	354	33	space	space	NOUN
cana-5228	354	34	framework	framework	NOUN
cana-5228	354	35	,	,	PUNCT
cana-5228	354	36	”	"	PUNCT
cana-5228	354	37	zdm	zdm	NOUN
cana-5228	354	38	mathematics	mathematic	NOUN
cana-5228	354	39	education	education	NOUN
cana-5228	354	40	,	,	PUNCT
cana-5228	354	41	vol	vol	NOUN
cana-5228	354	42	.	.	PROPN
cana-5228	354	43	48	48	NUM
cana-5228	354	44	,	,	PUNCT
cana-5228	354	45	no	no	INTJ
cana-5228	354	46	.	.	NOUN
cana-5228	354	47	6	6	NUM
cana-5228	354	48	,	,	PUNCT
cana-5228	354	49	pp	pp	ADJ
cana-5228	354	50	.	.	PUNCT
cana-5228	355	1	827–842	827–842	NUM
cana-5228	355	2	,	,	PUNCT
cana-5228	355	3	2016	2016	NUM
cana-5228	355	4	,	,	PUNCT
cana-5228	355	5	doi	doi	NOUN
cana-5228	355	6	:	:	PUNCT
cana-5228	355	7	10.1007	10.1007	NUM
cana-5228	355	8	/	/	SYM
cana-5228	355	9	s11858	s11858	NOUN
cana-5228	355	10	-	-	PUNCT
cana-5228	355	11	016	016	NUM
cana-5228	355	12	-	-	PUNCT
cana-5228	355	13	0757	0757	NUM
cana-5228	355	14	-	-	PUNCT
cana-5228	355	15	0	0	NUM
cana-5228	355	16	.	.	PUNCT
cana-5228	356	1	[	[	X
cana-5228	356	2	49	49	NUM
cana-5228	356	3	]	]	X
cana-5228	356	4	e.	e.	PROPN
cana-5228	356	5	m.	m.	PROPN
cana-5228	356	6	delgadillo	delgadillo	PROPN
cana-5228	356	7	and	and	CCONJ
cana-5228	356	8	l.	l.	PROPN
cana-5228	356	9	vivier	vivier	PROPN
cana-5228	356	10	,	,	PUNCT
cana-5228	356	11	“	"	PUNCT
cana-5228	356	12	mathematical	mathematical	ADJ
cana-5228	356	13	working	working	NOUN
cana-5228	356	14	space	space	NOUN
cana-5228	356	15	and	and	CCONJ
cana-5228	356	16	paradigms	paradigm	VERB
cana-5228	356	17	as	as	ADP
cana-5228	356	18	an	an	DET
cana-5228	356	19	analysis	analysis	NOUN
cana-5228	356	20	tool	tool	NOUN
cana-5228	356	21	for	for	ADP
cana-5228	356	22	the	the	DET
cana-5228	356	23	teaching	teaching	NOUN
cana-5228	356	24	and	and	CCONJ
cana-5228	356	25	learning	learning	NOUN
cana-5228	356	26	of	of	ADP
cana-5228	356	27	analysis	analysis	NOUN
cana-5228	356	28	,	,	PUNCT
cana-5228	356	29	”	"	PUNCT
cana-5228	356	30	zdm	zdm	NOUN
cana-5228	356	31	mathematics	mathematic	NOUN
cana-5228	356	32	education	education	NOUN
cana-5228	356	33	,	,	PUNCT
cana-5228	356	34	vol	vol	NOUN
cana-5228	356	35	.	.	PROPN
cana-5228	357	1	48	48	NUM
cana-5228	357	2	,	,	PUNCT
cana-5228	357	3	no	no	INTJ
cana-5228	357	4	.	.	NOUN
cana-5228	357	5	6	6	NUM
cana-5228	357	6	,	,	PUNCT
cana-5228	357	7	pp	pp	ADJ
cana-5228	357	8	.	.	PUNCT
cana-5228	358	1	739–754	739–754	NUM
cana-5228	358	2	,	,	PUNCT
cana-5228	358	3	2016	2016	NUM
cana-5228	358	4	,	,	PUNCT
cana-5228	358	5	doi	doi	NOUN
cana-5228	358	6	:	:	PUNCT
cana-5228	358	7	10.1007	10.1007	NUM
cana-5228	358	8	/	/	SYM
cana-5228	358	9	s11858	s11858	NOUN
cana-5228	358	10	-	-	PUNCT
cana-5228	358	11	016	016	NUM
cana-5228	358	12	-	-	PUNCT
cana-5228	358	13	0777	0777	NUM
cana-5228	358	14	-	-	PUNCT
cana-5228	358	15	9	9	NUM
cana-5228	358	16	.	.	PUNCT
cana-5228	359	1	[	[	X
cana-5228	359	2	50	50	NUM
cana-5228	359	3	]	]	PUNCT
cana-5228	359	4	m.	m.	NOUN
cana-5228	359	5	omar	omar	PROPN
cana-5228	359	6	,	,	PUNCT
cana-5228	359	7	g.	g.	PROPN
cana-5228	359	8	karakok	karakok	PROPN
cana-5228	359	9	,	,	PUNCT
cana-5228	359	10	m.	m.	PROPN
cana-5228	359	11	savic	savic	PROPN
cana-5228	359	12	,	,	PUNCT
cana-5228	359	13	h.	h.	PROPN
cana-5228	359	14	el	el	PROPN
cana-5228	359	15	turkey	turkey	PROPN
cana-5228	359	16	,	,	PUNCT
cana-5228	359	17	and	and	CCONJ
cana-5228	359	18	g.	g.	PROPN
cana-5228	359	19	tang	tang	PROPN
cana-5228	359	20	,	,	PUNCT
cana-5228	359	21	“	"	PUNCT
cana-5228	359	22	i	i	PRON
cana-5228	359	23	felt	feel	VERB
cana-5228	359	24	like	like	ADP
cana-5228	359	25	a	a	DET
cana-5228	359	26	mathematician	mathematician	NOUN
cana-5228	359	27	:	:	PUNCT
cana-5228	359	28	problems	problem	NOUN
cana-5228	359	29	and	and	CCONJ
cana-5228	359	30	assessment	assessment	NOUN
cana-5228	359	31	to	to	PART
cana-5228	359	32	promote	promote	VERB
cana-5228	359	33	creative	creative	ADJ
cana-5228	359	34	effort	effort	NOUN
cana-5228	359	35	,	,	PUNCT
cana-5228	359	36	”	"	PUNCT
cana-5228	359	37	primus	primus	PROPN
cana-5228	359	38	,	,	PUNCT
cana-5228	359	39	vol	vol	NOUN
cana-5228	359	40	.	.	PROPN
cana-5228	359	41	29	29	NUM
cana-5228	359	42	,	,	PUNCT
cana-5228	359	43	no	no	INTJ
cana-5228	359	44	.	.	NOUN
cana-5228	359	45	1	1	NUM
cana-5228	359	46	,	,	PUNCT
cana-5228	359	47	pp	pp	ADJ
cana-5228	359	48	.	.	PUNCT
cana-5228	360	1	82–102	82–102	NUM
cana-5228	360	2	,	,	PUNCT
cana-5228	360	3	2019	2019	NUM
cana-5228	360	4	,	,	PUNCT
cana-5228	360	5	doi	doi	NOUN
cana-5228	360	6	:	:	PUNCT
cana-5228	360	7	10.1080/10511970.2018.1475435	10.1080/10511970.2018.1475435	NUM
cana-5228	360	8	.	.	PUNCT
cana-5228	361	1	[	[	X
cana-5228	361	2	51	51	NUM
cana-5228	361	3	]	]	X
cana-5228	361	4	g.	g.	PROPN
cana-5228	361	5	hanna	hanna	PROPN
cana-5228	361	6	and	and	CCONJ
cana-5228	361	7	e.	e.	PROPN
cana-5228	361	8	barbeau	barbeau	PROPN
cana-5228	361	9	,	,	PUNCT
cana-5228	361	10	“	"	PUNCT
cana-5228	361	11	proofs	proof	NOUN
cana-5228	361	12	as	as	ADP
cana-5228	361	13	bearers	bearer	NOUN
cana-5228	361	14	of	of	ADP
cana-5228	361	15	mathematical	mathematical	ADJ
cana-5228	361	16	knowledge	knowledge	NOUN
cana-5228	361	17	,	,	PUNCT
cana-5228	361	18	”	"	PUNCT
cana-5228	361	19	zdm	zdm	PROPN
cana-5228	361	20	international	international	PROPN
cana-5228	361	21	journal	journal	NOUN
cana-5228	361	22	on	on	ADP
cana-5228	361	23	mathematics	mathematics	PROPN
cana-5228	361	24	education	education	NOUN
cana-5228	361	25	,	,	PUNCT
cana-5228	361	26	vol	vol	NOUN
cana-5228	361	27	.	.	PROPN
cana-5228	361	28	40	40	NUM
cana-5228	361	29	,	,	PUNCT
cana-5228	361	30	no	no	INTJ
cana-5228	361	31	.	.	NOUN
cana-5228	361	32	3	3	NUM
cana-5228	361	33	,	,	PUNCT
cana-5228	361	34	pp	pp	ADJ
cana-5228	361	35	.	.	PUNCT
cana-5228	362	1	345–353	345–353	NUM
cana-5228	362	2	,	,	PUNCT
cana-5228	362	3	2008	2008	NUM
cana-5228	362	4	,	,	PUNCT
cana-5228	362	5	doi	doi	NOUN
cana-5228	362	6	:	:	PUNCT
cana-5228	362	7	10.1007	10.1007	NUM
cana-5228	362	8	/	/	SYM
cana-5228	362	9	s11858	s11858	NOUN
cana-5228	362	10	-	-	PUNCT
cana-5228	362	11	008	008	NUM
cana-5228	362	12	-	-	PUNCT
cana-5228	362	13	0080	0080	NUM
cana-5228	362	14	-	-	PUNCT
cana-5228	362	15	5	5	NUM
cana-5228	362	16	.	.	PUNCT
cana-5228	363	1	[	[	X
cana-5228	363	2	52	52	NUM
cana-5228	363	3	]	]	PUNCT
cana-5228	363	4	p.	p.	NOUN
cana-5228	363	5	regier	regier	NOUN
cana-5228	363	6	and	and	CCONJ
cana-5228	363	7	m.	m.	NOUN
cana-5228	363	8	savic	savic	PROPN
cana-5228	363	9	,	,	PUNCT
cana-5228	363	10	“	"	PUNCT
cana-5228	363	11	how	how	SCONJ
cana-5228	363	12	teaching	teaching	NOUN
cana-5228	363	13	to	to	PART
cana-5228	363	14	foster	foster	VERB
cana-5228	363	15	mathematical	mathematical	ADJ
cana-5228	363	16	creativity	creativity	NOUN
cana-5228	363	17	may	may	AUX
cana-5228	363	18	impact	impact	VERB
cana-5228	363	19	student	student	NOUN
cana-5228	363	20	selfefficacy	selfefficacy	NOUN
cana-5228	363	21	for	for	ADP
cana-5228	363	22	proving	prove	VERB
cana-5228	363	23	,	,	PUNCT
cana-5228	363	24	”	"	PUNCT
cana-5228	363	25	journal	journal	NOUN
cana-5228	363	26	of	of	ADP
cana-5228	363	27	mathematical	mathematical	ADJ
cana-5228	363	28	behavior	behavior	NOUN
cana-5228	363	29	,	,	PUNCT
cana-5228	363	30	vol	vol	NOUN
cana-5228	363	31	.	.	PROPN
cana-5228	364	1	57	57	NUM
cana-5228	364	2	,	,	PUNCT
cana-5228	364	3	no	no	INTJ
cana-5228	364	4	.	.	PUNCT
cana-5228	365	1	september	september	PROPN
cana-5228	365	2	2018	2018	NUM
cana-5228	365	3	,	,	PUNCT
cana-5228	365	4	p.	p.	NOUN
cana-5228	365	5	100720	100720	NUM
cana-5228	365	6	,	,	PUNCT
cana-5228	365	7	2020	2020	NUM
cana-5228	365	8	,	,	PUNCT
cana-5228	365	9	doi	doi	NOUN
cana-5228	365	10	:	:	PUNCT
cana-5228	365	11	10.1016	10.1016	NUM
cana-5228	365	12	/	/	SYM
cana-5228	365	13	j.jmathb.2019.100720	j.jmathb.2019.100720	NOUN
cana-5228	365	14	.	.	PUNCT