id	sid	tid	token	lemma	pos
stem-7491	1	1	310	310	NUM
stem-7491	1	2	-	-	SYM
stem-7491	1	3	315	315	NUM
stem-7491	1	4	integrating	integrate	VERB
stem-7491	1	5	object	object	NOUN
stem-7491	1	6	-	-	PUNCT
stem-7491	1	7	based	base	VERB
stem-7491	1	8	sequential	sequential	ADJ
stem-7491	1	9	animations	animation	NOUN
stem-7491	1	10	via	via	ADP
stem-7491	1	11	geogebra	geogebra	NOUN
stem-7491	1	12	in	in	ADP
stem-7491	1	13	the	the	DET
stem-7491	1	14	teaching	teaching	NOUN
stem-7491	1	15	of	of	ADP
stem-7491	1	16	mathematic	mathematic	ADJ
stem-7491	1	17	310	310	NUM
stem-7491	1	18	american	american	ADJ
stem-7491	1	19	journal	journal	PROPN
stem-7491	1	20	of	of	ADP
stem-7491	1	21	language	language	NOUN
stem-7491	1	22	,	,	PUNCT
stem-7491	1	23	literacy	literacy	NOUN
stem-7491	1	24	and	and	CCONJ
stem-7491	1	25	learning	learn	VERB
stem-7491	1	26	in	in	ADP
stem-7491	1	27	stem	stem	NOUN
stem-7491	1	28	education	education	NOUN
stem-7491	1	29	www	www	PROPN
stem-7491	1	30	.	.	PROPN
stem-7491	2	1	grnjournal.us	grnjournal.us	PROPN
stem-7491	2	2	american	american	PROPN
stem-7491	2	3	journal	journal	PROPN
stem-7491	2	4	of	of	ADP
stem-7491	2	5	language	language	NOUN
stem-7491	2	6	,	,	PUNCT
stem-7491	2	7	literacy	literacy	NOUN
stem-7491	2	8	and	and	CCONJ
stem-7491	2	9	learning	learn	VERB
stem-7491	2	10	in	in	ADP
stem-7491	2	11	stem	stem	NOUN
stem-7491	2	12	education	education	NOUN
stem-7491	2	13	volume	volume	NOUN
stem-7491	2	14	3	3	NUM
stem-7491	2	15	,	,	PUNCT
stem-7491	2	16	issue	issue	NOUN
stem-7491	2	17	4	4	NUM
stem-7491	2	18	,	,	PUNCT
stem-7491	2	19	2025	2025	NUM
stem-7491	2	20	issn	issn	X
stem-7491	2	21	(	(	PUNCT
stem-7491	2	22	e	e	NOUN
stem-7491	2	23	):	):	PUNCT
stem-7491	2	24	2993	2993	NUM
stem-7491	2	25	-	-	SYM
stem-7491	2	26	2769	2769	NUM
stem-7491	2	27	integrating	integrate	VERB
stem-7491	2	28	object	object	NOUN
stem-7491	2	29	-	-	PUNCT
stem-7491	2	30	based	base	VERB
stem-7491	2	31	sequential	sequential	ADJ
stem-7491	2	32	animations	animation	NOUN
stem-7491	2	33	via	via	ADP
stem-7491	2	34	geogebra	geogebra	NOUN
stem-7491	2	35	in	in	ADP
stem-7491	2	36	the	the	DET
stem-7491	2	37	teaching	teaching	NOUN
stem-7491	2	38	of	of	ADP
stem-7491	2	39	mathematics	mathematic	NOUN
stem-7491	2	40	arofat	arofat	PROPN
stem-7491	2	41	sadirdinovna	sadirdinovna	AUX
stem-7491	2	42	quchqarova	quchqarova	VERB
stem-7491	2	43	phd	phd	NOUN
stem-7491	2	44	researcher	researcher	NOUN
stem-7491	2	45	in	in	ADP
stem-7491	2	46	theory	theory	NOUN
stem-7491	2	47	and	and	CCONJ
stem-7491	2	48	methodology	methodology	NOUN
stem-7491	2	49	of	of	ADP
stem-7491	2	50	education	education	NOUN
stem-7491	2	51	and	and	CCONJ
stem-7491	2	52	upbringing	upbringing	ADJ
stem-7491	2	53	andijan	andijan	NOUN
stem-7491	2	54	state	state	PROPN
stem-7491	2	55	pedagogical	pedagogical	PROPN
stem-7491	2	56	institute	institute	PROPN
stem-7491	2	57	kuchkarovaarofathon@gmail.com	kuchkarovaarofathon@gmail.com	PROPN
stem-7491	3	1	abstract	abstract	PROPN
stem-7491	3	2	.	.	PUNCT
stem-7491	4	1	this	this	DET
stem-7491	4	2	article	article	NOUN
stem-7491	4	3	explores	explore	VERB
stem-7491	4	4	the	the	DET
stem-7491	4	5	didactic	didactic	ADJ
stem-7491	4	6	and	and	CCONJ
stem-7491	4	7	mathematical	mathematical	ADJ
stem-7491	4	8	foundations	foundation	NOUN
stem-7491	4	9	of	of	ADP
stem-7491	4	10	employing	employ	VERB
stem-7491	4	11	sequential	sequential	ADJ
stem-7491	4	12	animations	animation	NOUN
stem-7491	4	13	in	in	ADP
stem-7491	4	14	geogebra	geogebra	NOUN
stem-7491	4	15	to	to	PART
stem-7491	4	16	teach	teach	VERB
stem-7491	4	17	algebra	algebra	NOUN
stem-7491	4	18	and	and	CCONJ
stem-7491	4	19	geometry	geometry	NOUN
stem-7491	4	20	to	to	ADP
stem-7491	4	21	school	school	NOUN
stem-7491	4	22	students	student	NOUN
stem-7491	4	23	.	.	PUNCT
stem-7491	5	1	animations	animation	NOUN
stem-7491	5	2	provide	provide	VERB
stem-7491	5	3	a	a	DET
stem-7491	5	4	dynamic	dynamic	ADJ
stem-7491	5	5	and	and	CCONJ
stem-7491	5	6	visual	visual	ADJ
stem-7491	5	7	medium	medium	NOUN
stem-7491	5	8	through	through	ADP
stem-7491	5	9	which	which	PRON
stem-7491	5	10	complex	complex	ADJ
stem-7491	5	11	mathematical	mathematical	ADJ
stem-7491	5	12	concepts	concept	NOUN
stem-7491	5	13	can	can	AUX
stem-7491	5	14	be	be	AUX
stem-7491	5	15	communicated	communicate	VERB
stem-7491	5	16	clearly	clearly	ADV
stem-7491	5	17	and	and	CCONJ
stem-7491	5	18	interactively	interactively	ADV
stem-7491	5	19	,	,	PUNCT
stem-7491	5	20	enhancing	enhance	VERB
stem-7491	5	21	students	student	NOUN
stem-7491	5	22	’	'	PUNCT
stem-7491	5	23	logical	logical	ADJ
stem-7491	5	24	reasoning	reasoning	NOUN
stem-7491	5	25	and	and	CCONJ
stem-7491	5	26	analytical	analytical	ADJ
stem-7491	5	27	thinking	thinking	NOUN
stem-7491	5	28	skills	skill	NOUN
stem-7491	5	29	.	.	PUNCT
stem-7491	6	1	the	the	DET
stem-7491	6	2	instructional	instructional	ADJ
stem-7491	6	3	strategy	strategy	NOUN
stem-7491	6	4	aligns	align	VERB
stem-7491	6	5	with	with	ADP
stem-7491	6	6	constructivist	constructivist	ADJ
stem-7491	6	7	educational	educational	ADJ
stem-7491	6	8	theory	theory	NOUN
stem-7491	6	9	,	,	PUNCT
stem-7491	6	10	emphasizing	emphasize	VERB
stem-7491	6	11	student	student	NOUN
stem-7491	6	12	-	-	PUNCT
stem-7491	6	13	centered	center	VERB
stem-7491	6	14	learning	learning	NOUN
stem-7491	6	15	and	and	CCONJ
stem-7491	6	16	knowledge	knowledge	NOUN
stem-7491	6	17	construction	construction	NOUN
stem-7491	6	18	through	through	ADP
stem-7491	6	19	active	active	ADJ
stem-7491	6	20	participation	participation	NOUN
stem-7491	6	21	.	.	PUNCT
stem-7491	7	1	geogebra	geogebra	NOUN
stem-7491	7	2	facilitates	facilitate	VERB
stem-7491	7	3	the	the	DET
stem-7491	7	4	progressive	progressive	ADJ
stem-7491	7	5	demonstration	demonstration	NOUN
stem-7491	7	6	of	of	ADP
stem-7491	7	7	algebraic	algebraic	ADJ
stem-7491	7	8	expressions	expression	NOUN
stem-7491	7	9	,	,	PUNCT
stem-7491	7	10	geometric	geometric	ADJ
stem-7491	7	11	constructions	construction	NOUN
stem-7491	7	12	,	,	PUNCT
stem-7491	7	13	and	and	CCONJ
stem-7491	7	14	functional	functional	ADJ
stem-7491	7	15	relationships	relationship	NOUN
stem-7491	7	16	.	.	PUNCT
stem-7491	8	1	the	the	DET
stem-7491	8	2	structured	structured	ADJ
stem-7491	8	3	use	use	NOUN
stem-7491	8	4	of	of	ADP
stem-7491	8	5	animations	animation	NOUN
stem-7491	8	6	supports	support	VERB
stem-7491	8	7	a	a	DET
stem-7491	8	8	gradual	gradual	ADJ
stem-7491	8	9	understanding	understanding	NOUN
stem-7491	8	10	of	of	ADP
stem-7491	8	11	mathematical	mathematical	ADJ
stem-7491	8	12	content	content	NOUN
stem-7491	8	13	and	and	CCONJ
stem-7491	8	14	fosters	foster	VERB
stem-7491	8	15	creativity	creativity	NOUN
stem-7491	8	16	and	and	CCONJ
stem-7491	8	17	deep	deep	ADJ
stem-7491	8	18	conceptual	conceptual	ADJ
stem-7491	8	19	engagement	engagement	NOUN
stem-7491	8	20	.	.	PUNCT
stem-7491	9	1	key	key	ADJ
stem-7491	9	2	words	word	NOUN
stem-7491	9	3	:	:	PUNCT
stem-7491	9	4	geogebra	geogebra	NOUN
stem-7491	9	5	,	,	PUNCT
stem-7491	9	6	algebra	algebra	NOUN
stem-7491	9	7	,	,	PUNCT
stem-7491	9	8	geometry	geometry	NOUN
stem-7491	9	9	,	,	PUNCT
stem-7491	9	10	sequential	sequential	ADJ
stem-7491	9	11	animations	animation	NOUN
stem-7491	9	12	,	,	PUNCT
stem-7491	9	13	constructivist	constructivist	ADJ
stem-7491	9	14	education	education	NOUN
stem-7491	9	15	,	,	PUNCT
stem-7491	9	16	logical	logical	ADJ
stem-7491	9	17	reasoning	reasoning	NOUN
stem-7491	9	18	,	,	PUNCT
stem-7491	9	19	interactive	interactive	ADJ
stem-7491	9	20	methods	method	NOUN
stem-7491	9	21	,	,	PUNCT
stem-7491	9	22	visualization	visualization	NOUN
stem-7491	9	23	.	.	PUNCT
stem-7491	10	1	relevance	relevance	NOUN
stem-7491	10	2	of	of	ADP
stem-7491	10	3	the	the	DET
stem-7491	10	4	research	research	NOUN
stem-7491	10	5	.	.	PUNCT
stem-7491	11	1	numerous	numerous	ADJ
stem-7491	11	2	scholars	scholar	NOUN
stem-7491	11	3	in	in	ADP
stem-7491	11	4	the	the	DET
stem-7491	11	5	field	field	NOUN
stem-7491	11	6	of	of	ADP
stem-7491	11	7	pedagogy	pedagogy	NOUN
stem-7491	11	8	and	and	CCONJ
stem-7491	11	9	educational	educational	ADJ
stem-7491	11	10	technology	technology	NOUN
stem-7491	11	11	have	have	AUX
stem-7491	11	12	emphasized	emphasize	VERB
stem-7491	11	13	the	the	DET
stem-7491	11	14	significance	significance	NOUN
stem-7491	11	15	of	of	ADP
stem-7491	11	16	integrating	integrate	VERB
stem-7491	11	17	geogebra	geogebra	NOUN
stem-7491	11	18	into	into	ADP
stem-7491	11	19	the	the	DET
stem-7491	11	20	learning	learning	NOUN
stem-7491	11	21	process	process	NOUN
stem-7491	11	22	.	.	PUNCT
stem-7491	12	1	for	for	ADP
stem-7491	12	2	instance	instance	NOUN
stem-7491	12	3	,	,	PUNCT
stem-7491	12	4	hohenwarter	hohenwarter	NOUN
stem-7491	12	5	and	and	CCONJ
stem-7491	12	6	fuchs	fuchs	PROPN
stem-7491	12	7	(	(	PUNCT
stem-7491	12	8	2008	2008	NUM
stem-7491	12	9	)	)	PUNCT
stem-7491	12	10	demonstrated	demonstrate	VERB
stem-7491	12	11	in	in	ADP
stem-7491	12	12	their	their	PRON
stem-7491	12	13	research	research	NOUN
stem-7491	12	14	the	the	DET
stem-7491	12	15	effectiveness	effectiveness	NOUN
stem-7491	12	16	of	of	ADP
stem-7491	12	17	using	use	VERB
stem-7491	12	18	animations	animation	NOUN
stem-7491	12	19	within	within	ADP
stem-7491	12	20	geogebra	geogebra	NOUN
stem-7491	12	21	to	to	PART
stem-7491	12	22	convey	convey	VERB
stem-7491	12	23	complex	complex	ADJ
stem-7491	12	24	mathematical	mathematical	ADJ
stem-7491	12	25	concepts	concept	NOUN
stem-7491	12	26	.	.	PUNCT
stem-7491	13	1	according	accord	VERB
stem-7491	13	2	to	to	ADP
stem-7491	13	3	their	their	PRON
stem-7491	13	4	findings	finding	NOUN
stem-7491	13	5	,	,	PUNCT
stem-7491	13	6	dynamic	dynamic	ADJ
stem-7491	13	7	visualizations	visualization	NOUN
stem-7491	13	8	significantly	significantly	ADV
stem-7491	13	9	enhance	enhance	VERB
stem-7491	13	10	students	student	NOUN
stem-7491	13	11	’	'	PUNCT
stem-7491	13	12	conceptual	conceptual	ADJ
stem-7491	13	13	understanding	understanding	NOUN
stem-7491	13	14	and	and	CCONJ
stem-7491	13	15	improve	improve	VERB
stem-7491	13	16	their	their	PRON
stem-7491	13	17	ability	ability	NOUN
stem-7491	13	18	to	to	PART
stem-7491	13	19	apply	apply	VERB
stem-7491	13	20	knowledge	knowledge	NOUN
stem-7491	13	21	in	in	ADP
stem-7491	13	22	practical	practical	ADJ
stem-7491	13	23	contexts	context	NOUN
stem-7491	14	1	[	[	X
stem-7491	14	2	1	1	NUM
stem-7491	14	3	]	]	PUNCT
stem-7491	14	4	.	.	PUNCT
stem-7491	15	1	similarly	similarly	ADV
stem-7491	15	2	,	,	PUNCT
stem-7491	15	3	tall	tall	ADJ
stem-7491	15	4	and	and	CCONJ
stem-7491	15	5	vinner	vinner	ADJ
stem-7491	15	6	(	(	PUNCT
stem-7491	15	7	2011	2011	NUM
stem-7491	15	8	)	)	PUNCT
stem-7491	15	9	highlighted	highlight	VERB
stem-7491	15	10	that	that	SCONJ
stem-7491	15	11	visual	visual	ADJ
stem-7491	15	12	and	and	CCONJ
stem-7491	15	13	dynamic	dynamic	ADJ
stem-7491	15	14	instructional	instructional	ADJ
stem-7491	15	15	strategies	strategy	NOUN
stem-7491	15	16	considerably	considerably	ADV
stem-7491	15	17	improve	improve	VERB
stem-7491	15	18	students	student	NOUN
stem-7491	15	19	’	'	PUNCT
stem-7491	15	20	comprehension	comprehension	NOUN
stem-7491	15	21	of	of	ADP
stem-7491	15	22	mathematical	mathematical	ADJ
stem-7491	15	23	objects	object	NOUN
stem-7491	15	24	and	and	CCONJ
stem-7491	15	25	their	their	PRON
stem-7491	15	26	underlying	underlie	VERB
stem-7491	15	27	structures	structure	NOUN
stem-7491	15	28	.	.	PUNCT
stem-7491	16	1	they	they	PRON
stem-7491	16	2	assert	assert	VERB
stem-7491	16	3	that	that	SCONJ
stem-7491	16	4	animations	animation	NOUN
stem-7491	16	5	and	and	CCONJ
stem-7491	16	6	interactive	interactive	ADJ
stem-7491	16	7	tools	tool	NOUN
stem-7491	16	8	serve	serve	VERB
stem-7491	16	9	as	as	ADP
stem-7491	16	10	fundamental	fundamental	ADJ
stem-7491	16	11	components	component	NOUN
stem-7491	16	12	in	in	ADP
stem-7491	16	13	fostering	foster	VERB
stem-7491	16	14	and	and	CCONJ
stem-7491	16	15	reinforcing	reinforce	VERB
stem-7491	16	16	mathematical	mathematical	ADJ
stem-7491	16	17	reasoning	reasoning	NOUN
stem-7491	16	18	[	[	X
stem-7491	16	19	2	2	NUM
stem-7491	16	20	]	]	PUNCT
stem-7491	16	21	.	.	PUNCT
stem-7491	17	1	drijvers	drijver	NOUN
stem-7491	17	2	(	(	PUNCT
stem-7491	17	3	2015	2015	NUM
stem-7491	17	4	)	)	PUNCT
stem-7491	17	5	,	,	PUNCT
stem-7491	17	6	in	in	ADP
stem-7491	17	7	his	his	PRON
stem-7491	17	8	study	study	NOUN
stem-7491	17	9	,	,	PUNCT
stem-7491	17	10	pointed	point	VERB
stem-7491	17	11	out	out	ADP
stem-7491	17	12	that	that	SCONJ
stem-7491	17	13	the	the	DET
stem-7491	17	14	integration	integration	NOUN
stem-7491	17	15	of	of	ADP
stem-7491	17	16	technology	technology	NOUN
stem-7491	17	17	in	in	ADP
stem-7491	17	18	mathematics	mathematics	NOUN
stem-7491	17	19	education	education	NOUN
stem-7491	17	20	contributes	contribute	VERB
stem-7491	17	21	to	to	ADP
stem-7491	17	22	the	the	DET
stem-7491	17	23	development	development	NOUN
stem-7491	17	24	of	of	ADP
stem-7491	17	25	students	student	NOUN
stem-7491	17	26	’	'	PUNCT
stem-7491	17	27	autonomous	autonomous	ADJ
stem-7491	17	28	learning	learning	NOUN
stem-7491	17	29	skills	skill	NOUN
stem-7491	17	30	and	and	CCONJ
stem-7491	17	31	promotes	promote	VERB
stem-7491	17	32	a	a	DET
stem-7491	17	33	collaborative	collaborative	ADJ
stem-7491	17	34	learning	learn	VERB
stem-7491	17	35	environment	environment	NOUN
stem-7491	18	1	[	[	X
stem-7491	18	2	3	3	NUM
stem-7491	18	3	]	]	PUNCT
stem-7491	18	4	.	.	PUNCT
stem-7491	19	1	from	from	ADP
stem-7491	19	2	a	a	DET
stem-7491	19	3	historical	historical	ADJ
stem-7491	19	4	perspective	perspective	NOUN
stem-7491	19	5	,	,	PUNCT
stem-7491	19	6	john	john	PROPN
stem-7491	19	7	amos	amos	PROPN
stem-7491	19	8	comenius	comenius	PROPN
stem-7491	19	9	(	(	PUNCT
stem-7491	19	10	1592–1670	1592–1670	NUM
stem-7491	19	11	)	)	PUNCT
stem-7491	19	12	was	be	AUX
stem-7491	19	13	an	an	DET
stem-7491	19	14	early	early	ADJ
stem-7491	19	15	advocate	advocate	NOUN
stem-7491	19	16	of	of	ADP
stem-7491	19	17	utilizing	utilize	VERB
stem-7491	19	18	visual	visual	ADJ
stem-7491	19	19	representations	representation	NOUN
stem-7491	19	20	and	and	CCONJ
stem-7491	19	21	dynamic	dynamic	ADJ
stem-7491	19	22	demonstrations	demonstration	NOUN
stem-7491	19	23	to	to	PART
stem-7491	19	24	enhance	enhance	VERB
stem-7491	19	25	the	the	DET
stem-7491	19	26	understanding	understanding	NOUN
stem-7491	19	27	of	of	ADP
stem-7491	19	28	abstract	abstract	ADJ
stem-7491	19	29	concepts	concept	NOUN
stem-7491	19	30	.	.	PUNCT
stem-7491	20	1	he	he	PRON
stem-7491	20	2	championed	champion	VERB
stem-7491	20	3	the	the	DET
stem-7491	20	4	idea	idea	NOUN
stem-7491	20	5	that	that	SCONJ
stem-7491	20	6	education	education	NOUN
stem-7491	20	7	should	should	AUX
stem-7491	20	8	be	be	AUX
stem-7491	20	9	made	make	VERB
stem-7491	20	10	more	more	ADV
stem-7491	20	11	effective	effective	ADJ
stem-7491	20	12	through	through	ADP
stem-7491	20	13	the	the	DET
stem-7491	20	14	use	use	NOUN
stem-7491	20	15	of	of	ADP
stem-7491	20	16	sensory	sensory	ADJ
stem-7491	20	17	and	and	CCONJ
stem-7491	20	18	illustrative	illustrative	ADJ
stem-7491	20	19	materials	material	NOUN
stem-7491	20	20	[	[	X
stem-7491	20	21	4	4	NUM
stem-7491	20	22	]	]	PUNCT
stem-7491	20	23	.	.	PUNCT
stem-7491	21	1	furthermore	furthermore	ADV
stem-7491	21	2	,	,	PUNCT
stem-7491	21	3	lev	lev	NOUN
stem-7491	21	4	vygotsky	vygotsky	NOUN
stem-7491	21	5	(	(	PUNCT
stem-7491	21	6	1896–1934	1896–1934	NUM
stem-7491	21	7	)	)	PUNCT
stem-7491	21	8	investigated	investigate	VERB
stem-7491	21	9	the	the	DET
stem-7491	21	10	role	role	NOUN
stem-7491	21	11	of	of	ADP
stem-7491	21	12	interactive	interactive	ADJ
stem-7491	21	13	teaching	teaching	NOUN
stem-7491	21	14	methods	method	NOUN
stem-7491	21	15	in	in	ADP
stem-7491	21	16	the	the	DET
stem-7491	21	17	cognitive	cognitive	ADJ
stem-7491	21	18	development	development	NOUN
stem-7491	21	19	of	of	ADP
stem-7491	21	20	learners	learner	NOUN
stem-7491	21	21	.	.	PUNCT
stem-7491	22	1	he	he	PRON
stem-7491	22	2	emphasized	emphasize	VERB
stem-7491	22	3	the	the	DET
stem-7491	22	4	necessity	necessity	NOUN
stem-7491	22	5	of	of	ADP
stem-7491	22	6	presenting	present	VERB
stem-7491	22	7	knowledge	knowledge	NOUN
stem-7491	22	8	in	in	ADP
stem-7491	22	9	ways	way	NOUN
stem-7491	22	10	that	that	PRON
stem-7491	22	11	are	be	AUX
stem-7491	22	12	both	both	PRON
stem-7491	22	13	comprehensible	comprehensible	ADJ
stem-7491	22	14	and	and	CCONJ
stem-7491	22	15	engaging	engage	VERB
stem-7491	22	16	to	to	ADP
stem-7491	22	17	students	student	NOUN
stem-7491	22	18	[	[	X
stem-7491	22	19	5	5	NUM
stem-7491	22	20	]	]	PUNCT
stem-7491	22	21	.	.	PUNCT
stem-7491	23	1	311	311	NUM
stem-7491	23	2	american	american	ADJ
stem-7491	23	3	journal	journal	PROPN
stem-7491	23	4	of	of	ADP
stem-7491	23	5	language	language	NOUN
stem-7491	23	6	,	,	PUNCT
stem-7491	23	7	literacy	literacy	NOUN
stem-7491	23	8	and	and	CCONJ
stem-7491	23	9	learning	learn	VERB
stem-7491	23	10	in	in	ADP
stem-7491	23	11	stem	stem	NOUN
stem-7491	23	12	education	education	NOUN
stem-7491	23	13	www	www	PROPN
stem-7491	23	14	.	.	PUNCT
stem-7491	24	1	grnjournal.us	grnjournal.us	X
stem-7491	24	2	taken	take	VERB
stem-7491	24	3	together	together	ADV
stem-7491	24	4	,	,	PUNCT
stem-7491	24	5	these	these	DET
stem-7491	24	6	insights	insight	NOUN
stem-7491	24	7	underline	underline	VERB
stem-7491	24	8	the	the	DET
stem-7491	24	9	pedagogical	pedagogical	ADJ
stem-7491	24	10	value	value	NOUN
stem-7491	24	11	of	of	ADP
stem-7491	24	12	utilizing	utilize	VERB
stem-7491	24	13	animated	animate	VERB
stem-7491	24	14	and	and	CCONJ
stem-7491	24	15	sequential	sequential	ADJ
stem-7491	24	16	object	object	NOUN
stem-7491	24	17	manipulation	manipulation	NOUN
stem-7491	24	18	in	in	ADP
stem-7491	24	19	geogebra	geogebra	NOUN
stem-7491	24	20	.	.	PUNCT
stem-7491	25	1	such	such	DET
stem-7491	25	2	an	an	DET
stem-7491	25	3	approach	approach	NOUN
stem-7491	25	4	not	not	PART
stem-7491	25	5	only	only	ADV
stem-7491	25	6	strengthens	strengthen	VERB
stem-7491	25	7	conceptual	conceptual	ADJ
stem-7491	25	8	understanding	understanding	NOUN
stem-7491	25	9	but	but	CCONJ
stem-7491	25	10	also	also	ADV
stem-7491	25	11	exemplifies	exemplify	VERB
stem-7491	25	12	the	the	DET
stem-7491	25	13	effectiveness	effectiveness	NOUN
stem-7491	25	14	of	of	ADP
stem-7491	25	15	contemporary	contemporary	ADJ
stem-7491	25	16	educational	educational	ADJ
stem-7491	25	17	technologies	technology	NOUN
stem-7491	25	18	in	in	ADP
stem-7491	25	19	enriching	enrich	VERB
stem-7491	25	20	mathematics	mathematic	NOUN
stem-7491	25	21	instruction	instruction	NOUN
stem-7491	25	22	.	.	PUNCT
stem-7491	26	1	research	research	NOUN
stem-7491	26	2	objective	objective	NOUN
stem-7491	26	3	:	:	PUNCT
stem-7491	26	4	to	to	PART
stem-7491	26	5	enhance	enhance	VERB
stem-7491	26	6	the	the	DET
stem-7491	26	7	effectiveness	effectiveness	NOUN
stem-7491	26	8	of	of	ADP
stem-7491	26	9	mathematics	mathematic	NOUN
stem-7491	26	10	education	education	NOUN
stem-7491	26	11	by	by	ADP
stem-7491	26	12	integrating	integrate	VERB
stem-7491	26	13	sequential	sequential	ADJ
stem-7491	26	14	animations	animation	NOUN
stem-7491	26	15	in	in	ADP
stem-7491	26	16	geogebra	geogebra	NOUN
stem-7491	26	17	,	,	PUNCT
stem-7491	26	18	thereby	thereby	ADV
stem-7491	26	19	improving	improve	VERB
stem-7491	26	20	students	student	NOUN
stem-7491	26	21	’	'	PUNCT
stem-7491	26	22	conceptual	conceptual	ADJ
stem-7491	26	23	understanding	understanding	NOUN
stem-7491	26	24	and	and	CCONJ
stem-7491	26	25	engagement	engagement	NOUN
stem-7491	26	26	in	in	ADP
stem-7491	26	27	algebra	algebra	NOUN
stem-7491	26	28	and	and	CCONJ
stem-7491	26	29	geometry	geometry	NOUN
stem-7491	26	30	through	through	ADP
stem-7491	26	31	interactive	interactive	ADJ
stem-7491	26	32	visual	visual	ADJ
stem-7491	26	33	learning	learning	NOUN
stem-7491	26	34	.	.	PUNCT
stem-7491	27	1	ø	ø	PROPN
stem-7491	27	2	research	research	NOUN
stem-7491	27	3	tasks	task	NOUN
stem-7491	27	4	:	:	PUNCT
stem-7491	27	5	to	to	PART
stem-7491	27	6	design	design	VERB
stem-7491	27	7	and	and	CCONJ
stem-7491	27	8	implement	implement	VERB
stem-7491	27	9	a	a	DET
stem-7491	27	10	multimedia	multimedia	NOUN
stem-7491	27	11	-	-	PUNCT
stem-7491	27	12	supported	support	VERB
stem-7491	27	13	instructional	instructional	ADJ
stem-7491	27	14	strategy	strategy	NOUN
stem-7491	27	15	utilizing	utilize	VERB
stem-7491	27	16	geogebra	geogebra	NOUN
stem-7491	27	17	animations	animation	NOUN
stem-7491	27	18	for	for	ADP
stem-7491	27	19	teaching	teach	VERB
stem-7491	27	20	core	core	NOUN
stem-7491	27	21	mathematical	mathematical	ADJ
stem-7491	27	22	concepts	concept	NOUN
stem-7491	27	23	.	.	PUNCT
stem-7491	28	1	ø	ø	X
stem-7491	28	2	to	to	PART
stem-7491	28	3	investigate	investigate	VERB
stem-7491	28	4	the	the	DET
stem-7491	28	5	impact	impact	NOUN
stem-7491	28	6	of	of	ADP
stem-7491	28	7	dynamic	dynamic	ADJ
stem-7491	28	8	visualizations	visualization	NOUN
stem-7491	28	9	on	on	ADP
stem-7491	28	10	the	the	DET
stem-7491	28	11	development	development	NOUN
stem-7491	28	12	of	of	ADP
stem-7491	28	13	abstract	abstract	ADJ
stem-7491	28	14	thinking	thinking	NOUN
stem-7491	28	15	,	,	PUNCT
stem-7491	28	16	problem	problem	NOUN
stem-7491	28	17	-	-	PUNCT
stem-7491	28	18	solving	solve	VERB
stem-7491	28	19	skills	skill	NOUN
stem-7491	28	20	,	,	PUNCT
stem-7491	28	21	and	and	CCONJ
stem-7491	28	22	cognitive	cognitive	ADJ
stem-7491	28	23	engagement	engagement	NOUN
stem-7491	28	24	among	among	ADP
stem-7491	28	25	secondary	secondary	ADJ
stem-7491	28	26	school	school	NOUN
stem-7491	28	27	students	student	NOUN
stem-7491	28	28	.	.	PUNCT
stem-7491	29	1	ø	ø	NOUN
stem-7491	29	2	to	to	PART
stem-7491	29	3	evaluate	evaluate	VERB
stem-7491	29	4	the	the	DET
stem-7491	29	5	pedagogical	pedagogical	ADJ
stem-7491	29	6	efficacy	efficacy	NOUN
stem-7491	29	7	of	of	ADP
stem-7491	29	8	constructivist	constructivist	NOUN
stem-7491	29	9	-	-	PUNCT
stem-7491	29	10	based	base	VERB
stem-7491	29	11	animation	animation	NOUN
stem-7491	29	12	sequences	sequence	NOUN
stem-7491	29	13	in	in	ADP
stem-7491	29	14	facilitating	facilitate	VERB
stem-7491	29	15	gradual	gradual	ADJ
stem-7491	29	16	and	and	CCONJ
stem-7491	29	17	meaningful	meaningful	ADJ
stem-7491	29	18	comprehension	comprehension	NOUN
stem-7491	29	19	of	of	ADP
stem-7491	29	20	algebraic	algebraic	ADJ
stem-7491	29	21	and	and	CCONJ
stem-7491	29	22	geometric	geometric	ADJ
stem-7491	29	23	content	content	NOUN
stem-7491	29	24	.	.	PUNCT
stem-7491	30	1	ø	ø	NOUN
stem-7491	30	2	to	to	PART
stem-7491	30	3	foster	foster	VERB
stem-7491	30	4	learners	learner	NOUN
stem-7491	30	5	’	’	PART
stem-7491	30	6	motivation	motivation	NOUN
stem-7491	30	7	and	and	CCONJ
stem-7491	30	8	interest	interest	NOUN
stem-7491	30	9	in	in	ADP
stem-7491	30	10	mathematics	mathematic	NOUN
stem-7491	30	11	through	through	ADP
stem-7491	30	12	interactive	interactive	ADJ
stem-7491	30	13	and	and	CCONJ
stem-7491	30	14	studentcentered	studentcentere	VERB
stem-7491	30	15	digital	digital	ADJ
stem-7491	30	16	learning	learning	NOUN
stem-7491	30	17	environments	environment	NOUN
stem-7491	30	18	.	.	PUNCT
stem-7491	31	1	research	research	NOUN
stem-7491	31	2	methods	method	NOUN
stem-7491	31	3	:	:	PUNCT
stem-7491	31	4	for	for	ADP
stem-7491	31	5	the	the	DET
stem-7491	31	6	purposes	purpose	NOUN
stem-7491	31	7	of	of	ADP
stem-7491	31	8	this	this	DET
stem-7491	31	9	study	study	NOUN
stem-7491	31	10	,	,	PUNCT
stem-7491	31	11	an	an	DET
stem-7491	31	12	experimental	experimental	ADJ
stem-7491	31	13	instructional	instructional	ADJ
stem-7491	31	14	framework	framework	NOUN
stem-7491	31	15	was	be	AUX
stem-7491	31	16	designed	design	VERB
stem-7491	31	17	,	,	PUNCT
stem-7491	31	18	utilizing	utilize	VERB
stem-7491	31	19	the	the	DET
stem-7491	31	20	geogebra	geogebra	NOUN
stem-7491	31	21	software	software	NOUN
stem-7491	31	22	to	to	PART
stem-7491	31	23	create	create	VERB
stem-7491	31	24	structured	structured	ADJ
stem-7491	31	25	animations	animation	NOUN
stem-7491	31	26	targeting	target	VERB
stem-7491	31	27	key	key	ADJ
stem-7491	31	28	topics	topic	NOUN
stem-7491	31	29	in	in	ADP
stem-7491	31	30	algebra	algebra	NOUN
stem-7491	31	31	and	and	CCONJ
stem-7491	31	32	geometry	geometry	NOUN
stem-7491	31	33	.	.	PUNCT
stem-7491	32	1	a	a	DET
stem-7491	32	2	pilot	pilot	NOUN
stem-7491	32	3	group	group	NOUN
stem-7491	32	4	of	of	ADP
stem-7491	32	5	ten	ten	NUM
stem-7491	32	6	secondary	secondary	ADJ
stem-7491	32	7	school	school	NOUN
stem-7491	32	8	students	student	NOUN
stem-7491	32	9	(	(	PUNCT
stem-7491	32	10	grades	grade	NOUN
stem-7491	32	11	9–11	9–11	PROPN
stem-7491	32	12	)	)	PUNCT
stem-7491	32	13	was	be	AUX
stem-7491	32	14	selected	select	VERB
stem-7491	32	15	to	to	PART
stem-7491	32	16	participate	participate	VERB
stem-7491	32	17	in	in	ADP
stem-7491	32	18	the	the	DET
stem-7491	32	19	intervention	intervention	NOUN
stem-7491	32	20	phase	phase	NOUN
stem-7491	32	21	of	of	ADP
stem-7491	32	22	the	the	DET
stem-7491	32	23	research	research	NOUN
stem-7491	32	24	.	.	PUNCT
stem-7491	33	1	a	a	DET
stem-7491	33	2	sequence	sequence	NOUN
stem-7491	33	3	of	of	ADP
stem-7491	33	4	animated	animate	VERB
stem-7491	33	5	modules	module	NOUN
stem-7491	33	6	was	be	AUX
stem-7491	33	7	developed	develop	VERB
stem-7491	33	8	and	and	CCONJ
stem-7491	33	9	introduced	introduce	VERB
stem-7491	33	10	in	in	ADP
stem-7491	33	11	the	the	DET
stem-7491	33	12	classroom	classroom	NOUN
stem-7491	33	13	environment	environment	NOUN
stem-7491	33	14	,	,	PUNCT
stem-7491	33	15	with	with	ADP
stem-7491	33	16	each	each	DET
stem-7491	33	17	module	module	NOUN
stem-7491	33	18	focusing	focus	VERB
stem-7491	33	19	on	on	ADP
stem-7491	33	20	a	a	DET
stem-7491	33	21	specific	specific	ADJ
stem-7491	33	22	mathematical	mathematical	ADJ
stem-7491	33	23	concept	concept	NOUN
stem-7491	33	24	such	such	ADJ
stem-7491	33	25	as	as	ADP
stem-7491	33	26	linear	linear	PROPN
stem-7491	33	27	functions	function	NOUN
stem-7491	33	28	,	,	PUNCT
stem-7491	33	29	geometric	geometric	ADJ
stem-7491	33	30	transformations	transformation	NOUN
stem-7491	33	31	,	,	PUNCT
stem-7491	33	32	and	and	CCONJ
stem-7491	33	33	quadratic	quadratic	ADJ
stem-7491	33	34	expressions	expression	NOUN
stem-7491	33	35	.	.	PUNCT
stem-7491	34	1	the	the	DET
stem-7491	34	2	interactive	interactive	ADJ
stem-7491	34	3	animations	animation	NOUN
stem-7491	34	4	were	be	AUX
stem-7491	34	5	embedded	embed	VERB
stem-7491	34	6	into	into	ADP
stem-7491	34	7	digital	digital	ADJ
stem-7491	34	8	lesson	lesson	NOUN
stem-7491	34	9	plans	plan	NOUN
stem-7491	34	10	and	and	CCONJ
stem-7491	34	11	aligned	align	VERB
stem-7491	34	12	with	with	ADP
stem-7491	34	13	constructivist	constructivist	ADJ
stem-7491	34	14	teaching	teaching	NOUN
stem-7491	34	15	principles	principle	NOUN
stem-7491	34	16	,	,	PUNCT
stem-7491	34	17	emphasizing	emphasize	VERB
stem-7491	34	18	student	student	NOUN
stem-7491	34	19	exploration	exploration	NOUN
stem-7491	34	20	and	and	CCONJ
stem-7491	34	21	conceptual	conceptual	ADJ
stem-7491	34	22	visualization	visualization	NOUN
stem-7491	34	23	.	.	PUNCT
stem-7491	35	1	the	the	DET
stem-7491	35	2	instructional	instructional	ADJ
stem-7491	35	3	design	design	NOUN
stem-7491	35	4	included	include	VERB
stem-7491	35	5	the	the	DET
stem-7491	35	6	following	follow	VERB
stem-7491	35	7	key	key	ADJ
stem-7491	35	8	components	component	NOUN
stem-7491	35	9	:	:	PUNCT
stem-7491	35	10	ø	ø	NOUN
stem-7491	35	11	topic	topic	NOUN
stem-7491	35	12	selection	selection	NOUN
stem-7491	35	13	:	:	PUNCT
stem-7491	35	14	each	each	DET
stem-7491	35	15	student	student	NOUN
stem-7491	35	16	engaged	engage	VERB
stem-7491	35	17	with	with	ADP
stem-7491	35	18	animations	animation	NOUN
stem-7491	35	19	aligned	align	VERB
stem-7491	35	20	to	to	PART
stem-7491	35	21	curriculum	curriculum	NOUN
stem-7491	35	22	standards	standard	NOUN
stem-7491	35	23	(	(	PUNCT
stem-7491	35	24	e.g.	e.g.	ADV
stem-7491	35	25	,	,	PUNCT
stem-7491	35	26	symmetry	symmetry	NOUN
stem-7491	35	27	,	,	PUNCT
stem-7491	35	28	equations	equation	NOUN
stem-7491	35	29	,	,	PUNCT
stem-7491	35	30	and	and	CCONJ
stem-7491	35	31	graphs	graph	NOUN
stem-7491	35	32	)	)	PUNCT
stem-7491	35	33	.	.	PUNCT
stem-7491	36	1	ø	ø	PROPN
stem-7491	36	2	structured	structured	ADJ
stem-7491	36	3	progression	progression	NOUN
stem-7491	36	4	:	:	PUNCT
stem-7491	36	5	lessons	lesson	NOUN
stem-7491	36	6	followed	follow	VERB
stem-7491	36	7	a	a	DET
stem-7491	36	8	sequenced	sequence	VERB
stem-7491	36	9	learning	learning	NOUN
stem-7491	36	10	path	path	NOUN
stem-7491	36	11	,	,	PUNCT
stem-7491	36	12	gradually	gradually	ADV
stem-7491	36	13	increasing	increase	VERB
stem-7491	36	14	in	in	ADP
stem-7491	36	15	complexity	complexity	NOUN
stem-7491	36	16	.	.	PUNCT
stem-7491	37	1	ø	ø	NOUN
stem-7491	37	2	session	session	NOUN
stem-7491	37	3	format	format	NOUN
stem-7491	37	4	:	:	PUNCT
stem-7491	37	5	over	over	ADP
stem-7491	37	6	a	a	DET
stem-7491	37	7	four	four	NUM
stem-7491	37	8	-	-	PUNCT
stem-7491	37	9	day	day	NOUN
stem-7491	37	10	cycle	cycle	NOUN
stem-7491	37	11	,	,	PUNCT
stem-7491	37	12	students	student	NOUN
stem-7491	37	13	interacted	interact	VERB
stem-7491	37	14	with	with	ADP
stem-7491	37	15	animations	animation	NOUN
stem-7491	37	16	as	as	SCONJ
stem-7491	37	17	follows	follow	VERB
stem-7491	37	18	:	:	PUNCT
stem-7491	37	19	ü	ü	PRON
stem-7491	37	20	day	day	NOUN
stem-7491	37	21	1	1	NUM
stem-7491	37	22	:	:	SYM
stem-7491	37	23	4	4	NUM
stem-7491	37	24	visual	visual	ADJ
stem-7491	37	25	tasks	task	NOUN
stem-7491	37	26	related	relate	VERB
stem-7491	37	27	to	to	ADP
stem-7491	37	28	basic	basic	ADJ
stem-7491	37	29	concepts	concept	NOUN
stem-7491	37	30	(	(	PUNCT
stem-7491	37	31	e.g.	e.g.	ADV
stem-7491	37	32	,	,	PUNCT
stem-7491	37	33	moving	move	VERB
stem-7491	37	34	points	point	NOUN
stem-7491	37	35	on	on	ADP
stem-7491	37	36	lines	line	NOUN
stem-7491	37	37	,	,	PUNCT
stem-7491	37	38	adjusting	adjust	VERB
stem-7491	37	39	sliders	slider	NOUN
stem-7491	37	40	)	)	PUNCT
stem-7491	37	41	ü	ü	NOUN
stem-7491	37	42	day	day	NOUN
stem-7491	37	43	2	2	NUM
stem-7491	37	44	:	:	SYM
stem-7491	37	45	5	5	NUM
stem-7491	37	46	structured	structure	VERB
stem-7491	37	47	exercises	exercise	NOUN
stem-7491	37	48	incorporating	incorporate	VERB
stem-7491	37	49	algebraic	algebraic	ADJ
stem-7491	37	50	manipulations	manipulation	NOUN
stem-7491	37	51	and	and	CCONJ
stem-7491	37	52	dynamic	dynamic	ADJ
stem-7491	37	53	geometry	geometry	NOUN
stem-7491	37	54	ü	ü	PROPN
stem-7491	37	55	day	day	NOUN
stem-7491	37	56	3	3	NUM
stem-7491	37	57	:	:	SYM
stem-7491	37	58	6	6	NUM
stem-7491	37	59	multi	multi	ADJ
stem-7491	37	60	-	-	ADJ
stem-7491	37	61	step	step	ADJ
stem-7491	37	62	animations	animation	NOUN
stem-7491	37	63	integrating	integrate	VERB
stem-7491	37	64	compound	compound	NOUN
stem-7491	37	65	concepts	concept	NOUN
stem-7491	37	66	with	with	ADP
stem-7491	37	67	adjustable	adjustable	ADJ
stem-7491	37	68	parameters	parameter	NOUN
stem-7491	37	69	ü	ü	DET
stem-7491	37	70	day	day	NOUN
stem-7491	37	71	4	4	NUM
stem-7491	37	72	:	:	PUNCT
stem-7491	37	73	reflection	reflection	NOUN
stem-7491	37	74	and	and	CCONJ
stem-7491	37	75	assessment	assessment	NOUN
stem-7491	37	76	(	(	PUNCT
stem-7491	37	77	concept	concept	NOUN
stem-7491	37	78	mapping	mapping	NOUN
stem-7491	37	79	and	and	CCONJ
stem-7491	37	80	peer	peer	NOUN
stem-7491	37	81	discussion	discussion	NOUN
stem-7491	37	82	)	)	PUNCT
stem-7491	38	1	students	student	NOUN
stem-7491	38	2	worked	work	VERB
stem-7491	38	3	in	in	ADP
stem-7491	38	4	pairs	pair	NOUN
stem-7491	38	5	using	use	VERB
stem-7491	38	6	classroom	classroom	NOUN
stem-7491	38	7	tablets	tablet	NOUN
stem-7491	38	8	and	and	CCONJ
stem-7491	38	9	laptops	laptop	NOUN
stem-7491	38	10	,	,	PUNCT
stem-7491	38	11	engaging	engage	VERB
stem-7491	38	12	with	with	ADP
stem-7491	38	13	each	each	DET
stem-7491	38	14	geogebra	geogebra	NOUN
stem-7491	38	15	animation	animation	NOUN
stem-7491	38	16	for	for	ADP
stem-7491	38	17	2–3	2–3	NUM
stem-7491	38	18	minutes	minute	NOUN
stem-7491	38	19	per	per	ADP
stem-7491	38	20	task	task	NOUN
stem-7491	38	21	.	.	PUNCT
stem-7491	39	1	the	the	DET
stem-7491	39	2	"	"	PUNCT
stem-7491	39	3	layered	layered	ADJ
stem-7491	39	4	animation	animation	NOUN
stem-7491	39	5	method"—a	method"—a	NOUN
stem-7491	39	6	form	form	NOUN
stem-7491	39	7	of	of	ADP
stem-7491	39	8	digital	digital	ADJ
stem-7491	39	9	scaffolding	scaffolding	NOUN
stem-7491	39	10	—	—	PUNCT
stem-7491	39	11	was	be	AUX
stem-7491	39	12	applied	apply	VERB
stem-7491	39	13	to	to	PART
stem-7491	39	14	gradually	gradually	ADV
stem-7491	39	15	introduce	introduce	VERB
stem-7491	39	16	visual	visual	ADJ
stem-7491	39	17	complexity	complexity	NOUN
stem-7491	39	18	while	while	SCONJ
stem-7491	39	19	maintaining	maintain	VERB
stem-7491	39	20	conceptual	conceptual	ADJ
stem-7491	39	21	coherence	coherence	NOUN
stem-7491	39	22	.	.	PUNCT
stem-7491	40	1	during	during	ADP
stem-7491	40	2	the	the	DET
stem-7491	40	3	trial	trial	NOUN
stem-7491	40	4	,	,	PUNCT
stem-7491	40	5	two	two	NUM
stem-7491	40	6	variants	variant	NOUN
stem-7491	40	7	of	of	ADP
stem-7491	40	8	the	the	DET
stem-7491	40	9	animation	animation	NOUN
stem-7491	40	10	sequences	sequence	NOUN
stem-7491	40	11	(	(	PUNCT
stem-7491	40	12	basic	basic	ADJ
stem-7491	40	13	and	and	CCONJ
stem-7491	40	14	extended	extended	ADJ
stem-7491	40	15	)	)	PUNCT
stem-7491	40	16	were	be	AUX
stem-7491	40	17	tested	test	VERB
stem-7491	40	18	to	to	PART
stem-7491	40	19	evaluate	evaluate	VERB
stem-7491	40	20	their	their	PRON
stem-7491	40	21	effect	effect	NOUN
stem-7491	40	22	on	on	ADP
stem-7491	40	23	students	student	NOUN
stem-7491	40	24	’	'	PUNCT
stem-7491	40	25	mathematical	mathematical	ADJ
stem-7491	40	26	reasoning	reasoning	NOUN
stem-7491	40	27	and	and	CCONJ
stem-7491	40	28	visualization	visualization	NOUN
stem-7491	40	29	skills	skill	NOUN
stem-7491	40	30	.	.	PUNCT
stem-7491	41	1	observations	observation	NOUN
stem-7491	41	2	,	,	PUNCT
stem-7491	41	3	student	student	NOUN
stem-7491	41	4	reflections	reflection	NOUN
stem-7491	41	5	,	,	PUNCT
stem-7491	41	6	and	and	CCONJ
stem-7491	41	7	formative	formative	ADJ
stem-7491	41	8	assessments	assessment	NOUN
stem-7491	41	9	were	be	AUX
stem-7491	41	10	used	use	VERB
stem-7491	41	11	to	to	PART
stem-7491	41	12	collect	collect	VERB
stem-7491	41	13	qualitative	qualitative	ADJ
stem-7491	41	14	and	and	CCONJ
stem-7491	41	15	quantitative	quantitative	ADJ
stem-7491	41	16	data	datum	NOUN
stem-7491	41	17	on	on	ADP
stem-7491	41	18	learning	learn	VERB
stem-7491	41	19	outcomes	outcome	NOUN
stem-7491	41	20	.	.	PUNCT
stem-7491	42	1	results	result	NOUN
stem-7491	42	2	and	and	CCONJ
stem-7491	42	3	discussion	discussion	VERB
stem-7491	42	4	the	the	DET
stem-7491	42	5	integration	integration	NOUN
stem-7491	42	6	of	of	ADP
stem-7491	42	7	geogebra	geogebra	NOUN
stem-7491	42	8	-	-	PUNCT
stem-7491	42	9	based	base	VERB
stem-7491	42	10	animations	animation	NOUN
stem-7491	42	11	into	into	ADP
stem-7491	42	12	the	the	DET
stem-7491	42	13	mathematics	mathematics	NOUN
stem-7491	42	14	curriculum	curriculum	NOUN
stem-7491	42	15	significantly	significantly	ADV
stem-7491	42	16	enhances	enhance	VERB
stem-7491	42	17	students	student	NOUN
stem-7491	42	18	’	'	PUNCT
stem-7491	42	19	comprehension	comprehension	NOUN
stem-7491	42	20	of	of	ADP
stem-7491	42	21	abstract	abstract	ADJ
stem-7491	42	22	mathematical	mathematical	ADJ
stem-7491	42	23	concepts	concept	NOUN
stem-7491	42	24	.	.	PUNCT
stem-7491	43	1	the	the	DET
stem-7491	43	2	outcomes	outcome	NOUN
stem-7491	43	3	of	of	ADP
stem-7491	43	4	this	this	DET
stem-7491	43	5	study	study	NOUN
stem-7491	43	6	indicate	indicate	VERB
stem-7491	43	7	that	that	SCONJ
stem-7491	43	8	the	the	DET
stem-7491	43	9	use	use	NOUN
stem-7491	43	10	of	of	ADP
stem-7491	43	11	dynamic	dynamic	ADJ
stem-7491	43	12	visual	visual	ADJ
stem-7491	43	13	tools	tool	NOUN
stem-7491	43	14	fosters	foster	VERB
stem-7491	43	15	greater	great	ADJ
stem-7491	43	16	engagement	engagement	NOUN
stem-7491	43	17	and	and	CCONJ
stem-7491	43	18	intrinsic	intrinsic	ADJ
stem-7491	43	19	motivation	motivation	NOUN
stem-7491	43	20	312	312	NUM
stem-7491	43	21	american	american	ADJ
stem-7491	43	22	journal	journal	NOUN
stem-7491	43	23	of	of	ADP
stem-7491	43	24	language	language	NOUN
stem-7491	43	25	,	,	PUNCT
stem-7491	43	26	literacy	literacy	NOUN
stem-7491	43	27	and	and	CCONJ
stem-7491	43	28	learning	learn	VERB
stem-7491	43	29	in	in	ADP
stem-7491	43	30	stem	stem	NOUN
stem-7491	43	31	education	education	NOUN
stem-7491	43	32	www	www	PROPN
stem-7491	43	33	.	.	PUNCT
stem-7491	44	1	grnjournal.us	grnjournal.us	X
stem-7491	44	2	among	among	ADP
stem-7491	44	3	learners	learner	NOUN
stem-7491	44	4	,	,	PUNCT
stem-7491	44	5	ultimately	ultimately	ADV
stem-7491	44	6	improving	improve	VERB
stem-7491	44	7	educational	educational	ADJ
stem-7491	44	8	effectiveness	effectiveness	NOUN
stem-7491	44	9	.	.	PUNCT
stem-7491	45	1	by	by	ADP
stem-7491	45	2	interacting	interact	VERB
stem-7491	45	3	with	with	ADP
stem-7491	45	4	animated	animate	VERB
stem-7491	45	5	visualizations	visualization	NOUN
stem-7491	45	6	created	create	VERB
stem-7491	45	7	in	in	ADP
stem-7491	45	8	geogebra	geogebra	NOUN
stem-7491	45	9	,	,	PUNCT
stem-7491	45	10	students	student	NOUN
stem-7491	45	11	gain	gain	VERB
stem-7491	45	12	a	a	DET
stem-7491	45	13	more	more	ADV
stem-7491	45	14	intuitive	intuitive	ADJ
stem-7491	45	15	and	and	CCONJ
stem-7491	45	16	hands	hand	NOUN
stem-7491	45	17	-	-	PUNCT
stem-7491	45	18	on	on	ADP
stem-7491	45	19	understanding	understanding	NOUN
stem-7491	45	20	of	of	ADP
stem-7491	45	21	mathematical	mathematical	ADJ
stem-7491	45	22	objects	object	NOUN
stem-7491	45	23	and	and	CCONJ
stem-7491	45	24	relationships	relationship	NOUN
stem-7491	45	25	,	,	PUNCT
stem-7491	45	26	which	which	PRON
stem-7491	45	27	facilitates	facilitate	VERB
stem-7491	45	28	deeper	deep	ADJ
stem-7491	45	29	conceptual	conceptual	ADJ
stem-7491	45	30	mastery	mastery	NOUN
stem-7491	45	31	.	.	PUNCT
stem-7491	46	1	experimental	experimental	ADJ
stem-7491	46	2	methods	method	NOUN
stem-7491	46	3	revealed	reveal	VERB
stem-7491	46	4	that	that	SCONJ
stem-7491	46	5	incorporating	incorporate	VERB
stem-7491	46	6	animations	animation	NOUN
stem-7491	46	7	into	into	ADP
stem-7491	46	8	the	the	DET
stem-7491	46	9	learning	learning	NOUN
stem-7491	46	10	process	process	NOUN
stem-7491	46	11	offers	offer	VERB
stem-7491	46	12	substantial	substantial	ADJ
stem-7491	46	13	pedagogical	pedagogical	ADJ
stem-7491	46	14	advantages	advantage	NOUN
stem-7491	46	15	over	over	ADP
stem-7491	46	16	traditional	traditional	ADJ
stem-7491	46	17	teaching	teaching	NOUN
stem-7491	46	18	techniques	technique	NOUN
stem-7491	46	19	.	.	PUNCT
stem-7491	47	1	a	a	DET
stem-7491	47	2	comparative	comparative	ADJ
stem-7491	47	3	analysis	analysis	NOUN
stem-7491	47	4	of	of	ADP
stem-7491	47	5	instructional	instructional	ADJ
stem-7491	47	6	models	model	NOUN
stem-7491	47	7	demonstrated	demonstrate	VERB
stem-7491	47	8	that	that	SCONJ
stem-7491	47	9	geogebra	geogebra	NOUN
stem-7491	47	10	-	-	PUNCT
stem-7491	47	11	enhanced	enhance	VERB
stem-7491	47	12	lessons	lesson	NOUN
stem-7491	47	13	yielded	yield	VERB
stem-7491	47	14	noticeably	noticeably	ADV
stem-7491	47	15	higher	high	ADJ
stem-7491	47	16	student	student	NOUN
stem-7491	47	17	achievement	achievement	NOUN
stem-7491	47	18	and	and	CCONJ
stem-7491	47	19	understanding	understanding	NOUN
stem-7491	47	20	,	,	PUNCT
stem-7491	47	21	especially	especially	ADV
stem-7491	47	22	in	in	ADP
stem-7491	47	23	areas	area	NOUN
stem-7491	47	24	requiring	require	VERB
stem-7491	47	25	spatial	spatial	ADJ
stem-7491	47	26	and	and	CCONJ
stem-7491	47	27	abstract	abstract	ADJ
stem-7491	47	28	reasoning	reasoning	NOUN
stem-7491	47	29	.	.	PUNCT
stem-7491	48	1	these	these	DET
stem-7491	48	2	findings	finding	NOUN
stem-7491	48	3	suggest	suggest	VERB
stem-7491	48	4	that	that	SCONJ
stem-7491	48	5	digital	digital	ADJ
stem-7491	48	6	visual	visual	ADJ
stem-7491	48	7	tools	tool	NOUN
stem-7491	48	8	stimulate	stimulate	VERB
stem-7491	48	9	learners	learner	NOUN
stem-7491	48	10	'	'	PART
stem-7491	48	11	independent	independent	ADJ
stem-7491	48	12	thinking	thinking	NOUN
stem-7491	48	13	and	and	CCONJ
stem-7491	48	14	logical	logical	ADJ
stem-7491	48	15	reasoning	reasoning	NOUN
stem-7491	48	16	skills	skill	NOUN
stem-7491	48	17	.	.	PUNCT
stem-7491	49	1	through	through	ADP
stem-7491	49	2	observational	observational	ADJ
stem-7491	49	3	methods	method	NOUN
stem-7491	49	4	,	,	PUNCT
stem-7491	49	5	the	the	DET
stem-7491	49	6	study	study	NOUN
stem-7491	49	7	also	also	ADV
stem-7491	49	8	examined	examine	VERB
stem-7491	49	9	students	student	NOUN
stem-7491	49	10	’	’	PART
stem-7491	49	11	adaptability	adaptability	NOUN
stem-7491	49	12	to	to	ADP
stem-7491	49	13	and	and	CCONJ
stem-7491	49	14	perceptions	perception	NOUN
stem-7491	49	15	of	of	ADP
stem-7491	49	16	using	use	VERB
stem-7491	49	17	geogebra	geogebra	NOUN
stem-7491	49	18	.	.	PUNCT
stem-7491	50	1	most	most	ADJ
stem-7491	50	2	participants	participant	NOUN
stem-7491	50	3	reported	report	VERB
stem-7491	50	4	that	that	SCONJ
stem-7491	50	5	the	the	DET
stem-7491	50	6	learning	learning	NOUN
stem-7491	50	7	process	process	NOUN
stem-7491	50	8	became	become	VERB
stem-7491	50	9	more	more	ADV
stem-7491	50	10	engaging	engaging	ADJ
stem-7491	50	11	and	and	CCONJ
stem-7491	50	12	accessible	accessible	ADJ
stem-7491	50	13	through	through	ADP
stem-7491	50	14	the	the	DET
stem-7491	50	15	use	use	NOUN
stem-7491	50	16	of	of	ADP
stem-7491	50	17	animated	animate	VERB
stem-7491	50	18	content	content	NOUN
stem-7491	50	19	.	.	PUNCT
stem-7491	51	1	during	during	ADP
stem-7491	51	2	the	the	DET
stem-7491	51	3	animation	animation	NOUN
stem-7491	51	4	creation	creation	NOUN
stem-7491	51	5	and	and	CCONJ
stem-7491	51	6	analysis	analysis	NOUN
stem-7491	51	7	phases	phase	NOUN
stem-7491	51	8	,	,	PUNCT
stem-7491	51	9	students	student	NOUN
stem-7491	51	10	not	not	PART
stem-7491	51	11	only	only	ADV
stem-7491	51	12	retained	retain	VERB
stem-7491	51	13	the	the	DET
stem-7491	51	14	information	information	NOUN
stem-7491	51	15	more	more	ADV
stem-7491	51	16	effectively	effectively	ADV
stem-7491	51	17	but	but	CCONJ
stem-7491	51	18	were	be	AUX
stem-7491	51	19	also	also	ADV
stem-7491	51	20	able	able	ADJ
stem-7491	51	21	to	to	PART
stem-7491	51	22	apply	apply	VERB
stem-7491	51	23	their	their	PRON
stem-7491	51	24	knowledge	knowledge	NOUN
stem-7491	51	25	with	with	ADP
stem-7491	51	26	greater	great	ADJ
stem-7491	51	27	accuracy	accuracy	NOUN
stem-7491	51	28	and	and	CCONJ
stem-7491	51	29	confidence	confidence	NOUN
stem-7491	51	30	.	.	PUNCT
stem-7491	52	1	data	datum	NOUN
stem-7491	52	2	synthesized	synthesize	VERB
stem-7491	52	3	through	through	ADP
stem-7491	52	4	both	both	DET
stem-7491	52	5	qualitative	qualitative	ADJ
stem-7491	52	6	and	and	CCONJ
stem-7491	52	7	quantitative	quantitative	ADJ
stem-7491	52	8	methods	method	NOUN
stem-7491	52	9	revealed	reveal	VERB
stem-7491	52	10	that	that	SCONJ
stem-7491	52	11	the	the	DET
stem-7491	52	12	application	application	NOUN
stem-7491	52	13	of	of	ADP
stem-7491	52	14	geogebra	geogebra	NOUN
stem-7491	52	15	animations	animation	NOUN
stem-7491	52	16	not	not	PART
stem-7491	52	17	only	only	ADV
stem-7491	52	18	facilitates	facilitate	VERB
stem-7491	52	19	comprehension	comprehension	NOUN
stem-7491	52	20	but	but	CCONJ
stem-7491	52	21	also	also	ADV
stem-7491	52	22	strengthens	strengthen	VERB
stem-7491	52	23	students	student	NOUN
stem-7491	52	24	’	'	PUNCT
stem-7491	52	25	ability	ability	NOUN
stem-7491	52	26	to	to	PART
stem-7491	52	27	consolidate	consolidate	VERB
stem-7491	52	28	newly	newly	ADV
stem-7491	52	29	acquired	acquire	VERB
stem-7491	52	30	knowledge	knowledge	NOUN
stem-7491	52	31	and	and	CCONJ
stem-7491	52	32	transfer	transfer	VERB
stem-7491	52	33	it	it	PRON
stem-7491	52	34	to	to	ADP
stem-7491	52	35	practical	practical	ADJ
stem-7491	52	36	problem	problem	NOUN
stem-7491	52	37	-	-	PUNCT
stem-7491	52	38	solving	solve	VERB
stem-7491	52	39	contexts	contexts	NOUN
stem-7491	52	40	.	.	PUNCT
stem-7491	53	1	this	this	DET
stem-7491	53	2	interactive	interactive	ADJ
stem-7491	53	3	and	and	CCONJ
stem-7491	53	4	visual	visual	ADJ
stem-7491	53	5	approach	approach	NOUN
stem-7491	53	6	to	to	ADP
stem-7491	53	7	teaching	teach	VERB
stem-7491	53	8	mathematics	mathematic	NOUN
stem-7491	53	9	increases	increase	VERB
stem-7491	53	10	educational	educational	ADJ
stem-7491	53	11	efficiency	efficiency	NOUN
stem-7491	53	12	while	while	SCONJ
stem-7491	53	13	cultivating	cultivate	VERB
stem-7491	53	14	critical	critical	ADJ
stem-7491	53	15	thinking	thinking	NOUN
stem-7491	53	16	,	,	PUNCT
stem-7491	53	17	analytical	analytical	ADJ
stem-7491	53	18	reasoning	reasoning	NOUN
stem-7491	53	19	,	,	PUNCT
stem-7491	53	20	and	and	CCONJ
stem-7491	53	21	collaborative	collaborative	ADJ
stem-7491	53	22	skills	skill	NOUN
stem-7491	53	23	among	among	ADP
stem-7491	53	24	learners	learner	NOUN
stem-7491	53	25	.	.	PUNCT
stem-7491	54	1	in	in	ADP
stem-7491	54	2	essence	essence	NOUN
stem-7491	54	3	,	,	PUNCT
stem-7491	54	4	animation	animation	NOUN
stem-7491	54	5	is	be	AUX
stem-7491	54	6	the	the	DET
stem-7491	54	7	process	process	NOUN
stem-7491	54	8	of	of	ADP
stem-7491	54	9	visually	visually	ADV
stem-7491	54	10	illustrating	illustrate	VERB
stem-7491	54	11	motion	motion	NOUN
stem-7491	54	12	and	and	CCONJ
stem-7491	54	13	transformation	transformation	NOUN
stem-7491	54	14	.	.	PUNCT
stem-7491	55	1	in	in	ADP
stem-7491	55	2	the	the	DET
stem-7491	55	3	context	context	NOUN
stem-7491	55	4	of	of	ADP
stem-7491	55	5	mathematics	mathematics	PROPN
stem-7491	55	6	education	education	NOUN
stem-7491	55	7	,	,	PUNCT
stem-7491	55	8	animations	animation	NOUN
stem-7491	55	9	are	be	AUX
stem-7491	55	10	employed	employ	VERB
stem-7491	55	11	to	to	PART
stem-7491	55	12	convey	convey	VERB
stem-7491	55	13	complex	complex	ADJ
stem-7491	55	14	ideas	idea	NOUN
stem-7491	55	15	more	more	ADV
stem-7491	55	16	intuitively	intuitively	ADV
stem-7491	55	17	.	.	PUNCT
stem-7491	56	1	they	they	PRON
stem-7491	56	2	dynamically	dynamically	ADV
stem-7491	56	3	demonstrate	demonstrate	VERB
stem-7491	56	4	the	the	DET
stem-7491	56	5	behavior	behavior	NOUN
stem-7491	56	6	of	of	ADP
stem-7491	56	7	mathematical	mathematical	ADJ
stem-7491	56	8	objects	object	NOUN
stem-7491	56	9	,	,	PUNCT
stem-7491	56	10	shapes	shape	NOUN
stem-7491	56	11	,	,	PUNCT
stem-7491	56	12	or	or	CCONJ
stem-7491	56	13	formulas	formula	NOUN
stem-7491	56	14	over	over	ADP
stem-7491	56	15	time	time	NOUN
stem-7491	56	16	or	or	CCONJ
stem-7491	56	17	within	within	ADP
stem-7491	56	18	spatial	spatial	ADJ
stem-7491	56	19	contexts	contexts	NOUN
stem-7491	56	20	.	.	PUNCT
stem-7491	57	1	the	the	DET
stem-7491	57	2	use	use	NOUN
stem-7491	57	3	of	of	ADP
stem-7491	57	4	animation	animation	NOUN
stem-7491	57	5	in	in	ADP
stem-7491	57	6	mathematics	mathematics	NOUN
stem-7491	57	7	instruction	instruction	NOUN
stem-7491	57	8	offers	offer	VERB
stem-7491	57	9	several	several	ADJ
stem-7491	57	10	key	key	ADJ
stem-7491	57	11	educational	educational	ADJ
stem-7491	57	12	benefits	benefit	NOUN
stem-7491	57	13	:	:	PUNCT
stem-7491	57	14	1	1	X
stem-7491	57	15	.	.	X
stem-7491	57	16	facilitation	facilitation	NOUN
stem-7491	57	17	of	of	ADP
stem-7491	57	18	abstract	abstract	ADJ
stem-7491	57	19	concept	concept	NOUN
stem-7491	57	20	acquisition	acquisition	NOUN
stem-7491	57	21	:	:	PUNCT
stem-7491	57	22	for	for	ADP
stem-7491	57	23	example	example	NOUN
stem-7491	57	24	,	,	PUNCT
stem-7491	57	25	animated	animate	VERB
stem-7491	57	26	demonstrations	demonstration	NOUN
stem-7491	57	27	of	of	ADP
stem-7491	57	28	function	function	NOUN
stem-7491	57	29	graphs	graph	NOUN
stem-7491	57	30	or	or	CCONJ
stem-7491	57	31	geometric	geometric	ADJ
stem-7491	57	32	transformations	transformation	NOUN
stem-7491	57	33	help	help	VERB
stem-7491	57	34	students	student	NOUN
stem-7491	57	35	visualize	visualize	VERB
stem-7491	57	36	processes	process	NOUN
stem-7491	57	37	that	that	PRON
stem-7491	57	38	are	be	AUX
stem-7491	57	39	otherwise	otherwise	ADV
stem-7491	57	40	difficult	difficult	ADJ
stem-7491	57	41	to	to	PART
stem-7491	57	42	conceptualize	conceptualize	VERB
stem-7491	57	43	.	.	PUNCT
stem-7491	58	1	2	2	X
stem-7491	58	2	.	.	NUM
stem-7491	58	3	enhanced	enhance	VERB
stem-7491	58	4	interactivity	interactivity	NOUN
stem-7491	58	5	:	:	PUNCT
stem-7491	58	6	animations	animation	NOUN
stem-7491	58	7	allow	allow	VERB
stem-7491	58	8	students	student	NOUN
stem-7491	58	9	to	to	PART
stem-7491	58	10	manipulate	manipulate	VERB
stem-7491	58	11	parameters	parameter	NOUN
stem-7491	58	12	,	,	PUNCT
stem-7491	58	13	explore	explore	VERB
stem-7491	58	14	mathematical	mathematical	ADJ
stem-7491	58	15	relationships	relationship	NOUN
stem-7491	58	16	,	,	PUNCT
stem-7491	58	17	and	and	CCONJ
stem-7491	58	18	observe	observe	VERB
stem-7491	58	19	outcomes	outcome	NOUN
stem-7491	58	20	,	,	PUNCT
stem-7491	58	21	thereby	thereby	ADV
stem-7491	58	22	deepening	deepen	VERB
stem-7491	58	23	their	their	PRON
stem-7491	58	24	understanding	understanding	NOUN
stem-7491	58	25	through	through	ADP
stem-7491	58	26	experiential	experiential	ADJ
stem-7491	58	27	learning	learning	NOUN
stem-7491	58	28	.	.	PUNCT
stem-7491	59	1	3	3	X
stem-7491	59	2	.	.	NOUN
stem-7491	59	3	visual	visual	ADJ
stem-7491	59	4	and	and	CCONJ
stem-7491	59	5	sensory	sensory	ADJ
stem-7491	59	6	engagement	engagement	NOUN
stem-7491	59	7	:	:	PUNCT
stem-7491	59	8	for	for	ADP
stem-7491	59	9	visual	visual	ADJ
stem-7491	59	10	learners	learner	NOUN
stem-7491	59	11	in	in	ADP
stem-7491	59	12	particular	particular	ADJ
stem-7491	59	13	,	,	PUNCT
stem-7491	59	14	animations	animation	NOUN
stem-7491	59	15	improve	improve	VERB
stem-7491	59	16	retention	retention	NOUN
stem-7491	59	17	and	and	CCONJ
stem-7491	59	18	comprehension	comprehension	NOUN
stem-7491	59	19	of	of	ADP
stem-7491	59	20	mathematical	mathematical	ADJ
stem-7491	59	21	models	model	NOUN
stem-7491	59	22	,	,	PUNCT
stem-7491	59	23	such	such	ADJ
stem-7491	59	24	as	as	ADP
stem-7491	59	25	geometric	geometric	ADJ
stem-7491	59	26	constructions	construction	NOUN
stem-7491	59	27	or	or	CCONJ
stem-7491	59	28	changing	change	VERB
stem-7491	59	29	function	function	NOUN
stem-7491	59	30	behaviors	behavior	NOUN
stem-7491	59	31	.	.	PUNCT
stem-7491	60	1	4	4	X
stem-7491	60	2	.	.	X
stem-7491	60	3	support	support	NOUN
stem-7491	60	4	for	for	ADP
stem-7491	60	5	social	social	ADJ
stem-7491	60	6	and	and	CCONJ
stem-7491	60	7	cognitive	cognitive	ADJ
stem-7491	60	8	learning	learning	NOUN
stem-7491	60	9	:	:	PUNCT
stem-7491	60	10	animated	animate	VERB
stem-7491	60	11	lessons	lesson	NOUN
stem-7491	60	12	encourage	encourage	VERB
stem-7491	60	13	peer	peer	NOUN
stem-7491	60	14	collaboration	collaboration	NOUN
stem-7491	60	15	and	and	CCONJ
stem-7491	60	16	knowledge	knowledge	NOUN
stem-7491	60	17	sharing	sharing	NOUN
stem-7491	60	18	,	,	PUNCT
stem-7491	60	19	which	which	PRON
stem-7491	60	20	contribute	contribute	VERB
stem-7491	60	21	to	to	ADP
stem-7491	60	22	a	a	DET
stem-7491	60	23	richer	rich	ADJ
stem-7491	60	24	and	and	CCONJ
stem-7491	60	25	more	more	ADV
stem-7491	60	26	effective	effective	ADJ
stem-7491	60	27	learning	learn	VERB
stem-7491	60	28	environment	environment	NOUN
stem-7491	60	29	.	.	PUNCT
stem-7491	61	1	as	as	ADP
stem-7491	61	2	a	a	DET
stem-7491	61	3	pedagogical	pedagogical	ADJ
stem-7491	61	4	tool	tool	NOUN
stem-7491	61	5	,	,	PUNCT
stem-7491	61	6	animation	animation	NOUN
stem-7491	61	7	in	in	ADP
stem-7491	61	8	mathematics	mathematics	NOUN
stem-7491	61	9	education	education	NOUN
stem-7491	61	10	empowers	empower	NOUN
stem-7491	61	11	learners	learner	NOUN
stem-7491	61	12	not	not	PART
stem-7491	61	13	only	only	ADV
stem-7491	61	14	to	to	PART
stem-7491	61	15	grasp	grasp	VERB
stem-7491	61	16	mathematical	mathematical	ADJ
stem-7491	61	17	principles	principle	NOUN
stem-7491	61	18	but	but	CCONJ
stem-7491	61	19	also	also	ADV
stem-7491	61	20	to	to	PART
stem-7491	61	21	develop	develop	VERB
stem-7491	61	22	broader	broad	ADJ
stem-7491	61	23	problem	problem	NOUN
stem-7491	61	24	-	-	PUNCT
stem-7491	61	25	solving	solve	VERB
stem-7491	61	26	abilities	ability	NOUN
stem-7491	61	27	applicable	applicable	ADJ
stem-7491	61	28	to	to	ADP
stem-7491	61	29	real	real	ADJ
stem-7491	61	30	-	-	PUNCT
stem-7491	61	31	world	world	NOUN
stem-7491	61	32	situations	situation	NOUN
stem-7491	61	33	.	.	PUNCT
stem-7491	62	1	this	this	DET
stem-7491	62	2	approach	approach	NOUN
stem-7491	62	3	promotes	promote	VERB
stem-7491	62	4	creative	creative	ADJ
stem-7491	62	5	and	and	CCONJ
stem-7491	62	6	systemic	systemic	ADJ
stem-7491	62	7	thinking	thinking	NOUN
stem-7491	62	8	while	while	SCONJ
stem-7491	62	9	making	make	VERB
stem-7491	62	10	complex	complex	ADJ
stem-7491	62	11	topics	topic	NOUN
stem-7491	62	12	more	more	ADV
stem-7491	62	13	engaging	engaging	ADJ
stem-7491	62	14	and	and	CCONJ
stem-7491	62	15	accessible	accessible	ADJ
stem-7491	62	16	.	.	PUNCT
stem-7491	63	1	theoretical	theoretical	ADJ
stem-7491	63	2	foundations	foundation	NOUN
stem-7491	63	3	of	of	ADP
stem-7491	63	4	object	object	NOUN
stem-7491	63	5	animation	animation	NOUN
stem-7491	63	6	in	in	ADP
stem-7491	63	7	geogebra	geogebra	NOUN
stem-7491	63	8	in	in	ADP
stem-7491	63	9	geogebra	geogebra	NOUN
stem-7491	63	10	,	,	PUNCT
stem-7491	63	11	animation	animation	NOUN
stem-7491	63	12	refers	refer	VERB
stem-7491	63	13	to	to	ADP
stem-7491	63	14	the	the	DET
stem-7491	63	15	visual	visual	ADJ
stem-7491	63	16	representation	representation	NOUN
stem-7491	63	17	of	of	ADP
stem-7491	63	18	mathematical	mathematical	ADJ
stem-7491	63	19	changes	change	NOUN
stem-7491	63	20	or	or	CCONJ
stem-7491	63	21	movements	movement	NOUN
stem-7491	63	22	across	across	ADP
stem-7491	63	23	space	space	NOUN
stem-7491	63	24	or	or	CCONJ
stem-7491	63	25	time	time	NOUN
stem-7491	63	26	,	,	PUNCT
stem-7491	63	27	which	which	PRON
stem-7491	63	28	supports	support	VERB
stem-7491	63	29	dynamic	dynamic	ADJ
stem-7491	63	30	concept	concept	NOUN
stem-7491	63	31	demonstration	demonstration	NOUN
stem-7491	63	32	.	.	PUNCT
stem-7491	64	1	the	the	DET
stem-7491	64	2	primary	primary	ADJ
stem-7491	64	3	instructional	instructional	ADJ
stem-7491	64	4	goals	goal	NOUN
stem-7491	64	5	of	of	ADP
stem-7491	64	6	such	such	ADJ
stem-7491	64	7	animations	animation	NOUN
stem-7491	64	8	include	include	VERB
stem-7491	64	9	:	:	PUNCT
stem-7491	64	10	ø	ø	NUM
stem-7491	64	11	explaining	explain	VERB
stem-7491	64	12	dynamic	dynamic	ADJ
stem-7491	64	13	processes	process	NOUN
stem-7491	64	14	ø	ø	NOUN
stem-7491	64	15	making	make	VERB
stem-7491	64	16	abstract	abstract	ADJ
stem-7491	64	17	concepts	concept	NOUN
stem-7491	64	18	more	more	ADV
stem-7491	64	19	tangible	tangible	ADJ
stem-7491	64	20	ø	ø	NOUN
stem-7491	64	21	increasing	increase	VERB
stem-7491	64	22	student	student	NOUN
stem-7491	64	23	motivation	motivation	NOUN
stem-7491	64	24	and	and	CCONJ
stem-7491	64	25	engagement	engagement	NOUN
stem-7491	64	26	313	313	NUM
stem-7491	64	27	american	american	ADJ
stem-7491	64	28	journal	journal	PROPN
stem-7491	64	29	of	of	ADP
stem-7491	64	30	language	language	NOUN
stem-7491	64	31	,	,	PUNCT
stem-7491	64	32	literacy	literacy	NOUN
stem-7491	64	33	and	and	CCONJ
stem-7491	64	34	learning	learn	VERB
stem-7491	64	35	in	in	ADP
stem-7491	64	36	stem	stem	NOUN
stem-7491	64	37	education	education	NOUN
stem-7491	64	38	www	www	PROPN
stem-7491	64	39	.	.	PUNCT
stem-7491	65	1	grnjournal.us	grnjournal.us	X
stem-7491	65	2	principles	principle	NOUN
stem-7491	65	3	of	of	ADP
stem-7491	65	4	sequential	sequential	ADJ
stem-7491	65	5	animations	animation	NOUN
stem-7491	65	6	sequential	sequential	ADJ
stem-7491	65	7	animation	animation	NOUN
stem-7491	65	8	involves	involve	VERB
stem-7491	65	9	orchestrating	orchestrate	VERB
stem-7491	65	10	mathematical	mathematical	ADJ
stem-7491	65	11	objects	object	NOUN
stem-7491	65	12	to	to	PART
stem-7491	65	13	move	move	VERB
stem-7491	65	14	or	or	CCONJ
stem-7491	65	15	transform	transform	VERB
stem-7491	65	16	in	in	ADP
stem-7491	65	17	a	a	DET
stem-7491	65	18	deliberate	deliberate	ADJ
stem-7491	65	19	,	,	PUNCT
stem-7491	65	20	algorithmic	algorithmic	ADJ
stem-7491	65	21	order	order	NOUN
stem-7491	65	22	,	,	PUNCT
stem-7491	65	23	rather	rather	ADV
stem-7491	65	24	than	than	ADP
stem-7491	65	25	acting	act	VERB
stem-7491	65	26	independently	independently	ADV
stem-7491	65	27	.	.	PUNCT
stem-7491	66	1	the	the	DET
stem-7491	66	2	process	process	NOUN
stem-7491	66	3	typically	typically	ADV
stem-7491	66	4	consists	consist	VERB
stem-7491	66	5	of	of	ADP
stem-7491	66	6	the	the	DET
stem-7491	66	7	following	following	ADJ
stem-7491	66	8	stages	stage	NOUN
stem-7491	66	9	:	:	PUNCT
stem-7491	66	10	ø	ø	X
stem-7491	66	11	constructing	construct	VERB
stem-7491	66	12	the	the	DET
stem-7491	66	13	mathematical	mathematical	ADJ
stem-7491	66	14	objects	object	NOUN
stem-7491	66	15	ø	ø	NOUN
stem-7491	66	16	defining	define	VERB
stem-7491	66	17	motion	motion	NOUN
stem-7491	66	18	parameters	parameter	NOUN
stem-7491	66	19	ø	ø	NOUN
stem-7491	66	20	configuring	configuring	NOUN
stem-7491	66	21	time	time	NOUN
stem-7491	66	22	intervals	interval	NOUN
stem-7491	66	23	ø	ø	NOUN
stem-7491	66	24	controlling	control	VERB
stem-7491	66	25	the	the	DET
stem-7491	66	26	flow	flow	NOUN
stem-7491	66	27	of	of	ADP
stem-7491	66	28	animation	animation	NOUN
stem-7491	66	29	sequences	sequence	NOUN
stem-7491	66	30	these	these	DET
stem-7491	66	31	principles	principle	NOUN
stem-7491	66	32	underpin	underpin	VERB
stem-7491	66	33	the	the	DET
stem-7491	66	34	structured	structured	ADJ
stem-7491	66	35	use	use	NOUN
stem-7491	66	36	of	of	ADP
stem-7491	66	37	geogebra	geogebra	NOUN
stem-7491	66	38	in	in	ADP
stem-7491	66	39	mathematics	mathematics	PROPN
stem-7491	66	40	education	education	NOUN
stem-7491	66	41	,	,	PUNCT
stem-7491	66	42	enabling	enable	VERB
stem-7491	66	43	educators	educator	NOUN
stem-7491	66	44	to	to	ADP
stem-7491	66	45	scaffold	scaffold	NOUN
stem-7491	66	46	learning	learning	NOUN
stem-7491	66	47	in	in	ADP
stem-7491	66	48	a	a	DET
stem-7491	66	49	progressive	progressive	ADJ
stem-7491	66	50	and	and	CCONJ
stem-7491	66	51	cognitively	cognitively	ADV
stem-7491	66	52	meaningful	meaningful	ADJ
stem-7491	66	53	way	way	NOUN
stem-7491	66	54	.	.	PUNCT
stem-7491	67	1	sequential	sequential	ADJ
stem-7491	67	2	animations	animation	NOUN
stem-7491	67	3	in	in	ADP
stem-7491	67	4	mathematics	mathematics	NOUN
stem-7491	67	5	education	education	NOUN
stem-7491	67	6	:	:	PUNCT
stem-7491	67	7	a	a	DET
stem-7491	67	8	constructivist	constructivist	ADJ
stem-7491	67	9	approach	approach	NOUN
stem-7491	67	10	using	use	VERB
stem-7491	67	11	geogebra	geogebra	NOUN
stem-7491	67	12	the	the	DET
stem-7491	67	13	process	process	NOUN
stem-7491	67	14	of	of	ADP
stem-7491	67	15	implementing	implement	VERB
stem-7491	67	16	sequential	sequential	ADJ
stem-7491	67	17	animations	animation	NOUN
stem-7491	67	18	in	in	ADP
stem-7491	67	19	mathematics	mathematics	NOUN
stem-7491	67	20	instruction	instruction	NOUN
stem-7491	67	21	represents	represent	VERB
stem-7491	67	22	a	a	DET
stem-7491	67	23	powerful	powerful	ADJ
stem-7491	67	24	strategy	strategy	NOUN
stem-7491	67	25	for	for	ADP
stem-7491	67	26	enhancing	enhance	VERB
stem-7491	67	27	learners	learner	NOUN
stem-7491	67	28	’	'	PUNCT
stem-7491	67	29	conceptual	conceptual	ADJ
stem-7491	67	30	understanding	understanding	NOUN
stem-7491	67	31	.	.	PUNCT
stem-7491	68	1	in	in	ADP
stem-7491	68	2	the	the	DET
stem-7491	68	3	geogebra	geogebra	NOUN
stem-7491	68	4	environment	environment	NOUN
stem-7491	68	5	,	,	PUNCT
stem-7491	68	6	step	step	NOUN
stem-7491	68	7	-	-	PUNCT
stem-7491	68	8	bystep	bystep	NOUN
stem-7491	68	9	animations	animation	NOUN
stem-7491	68	10	allow	allow	VERB
stem-7491	68	11	for	for	ADP
stem-7491	68	12	the	the	DET
stem-7491	68	13	visualization	visualization	NOUN
stem-7491	68	14	of	of	ADP
stem-7491	68	15	dynamic	dynamic	ADJ
stem-7491	68	16	properties	property	NOUN
stem-7491	68	17	of	of	ADP
stem-7491	68	18	mathematical	mathematical	ADJ
stem-7491	68	19	objects	object	NOUN
stem-7491	68	20	and	and	CCONJ
stem-7491	68	21	processes	process	NOUN
stem-7491	68	22	,	,	PUNCT
stem-7491	68	23	thereby	thereby	ADV
stem-7491	68	24	fostering	foster	VERB
stem-7491	68	25	the	the	DET
stem-7491	68	26	development	development	NOUN
stem-7491	68	27	of	of	ADP
stem-7491	68	28	abstract	abstract	ADJ
stem-7491	68	29	thinking	thinking	NOUN
stem-7491	68	30	and	and	CCONJ
stem-7491	68	31	logical	logical	ADJ
stem-7491	68	32	reasoning	reasoning	NOUN
stem-7491	68	33	skills	skill	NOUN
stem-7491	68	34	among	among	ADP
stem-7491	68	35	students	student	NOUN
stem-7491	68	36	.	.	PUNCT
stem-7491	69	1	the	the	DET
stem-7491	69	2	use	use	NOUN
stem-7491	69	3	of	of	ADP
stem-7491	69	4	such	such	ADJ
stem-7491	69	5	animated	animate	VERB
stem-7491	69	6	sequences	sequence	NOUN
stem-7491	69	7	supports	support	VERB
stem-7491	69	8	learners	learner	NOUN
stem-7491	69	9	in	in	ADP
stem-7491	69	10	recognizing	recognize	VERB
stem-7491	69	11	mathematical	mathematical	ADJ
stem-7491	69	12	patterns	pattern	NOUN
stem-7491	69	13	and	and	CCONJ
stem-7491	69	14	relations	relation	NOUN
stem-7491	69	15	in	in	ADP
stem-7491	69	16	a	a	DET
stem-7491	69	17	progressive	progressive	ADJ
stem-7491	69	18	and	and	CCONJ
stem-7491	69	19	structured	structured	ADJ
stem-7491	69	20	manner	manner	NOUN
stem-7491	69	21	.	.	PUNCT
stem-7491	70	1	employing	employ	VERB
stem-7491	70	2	sequential	sequential	ADJ
stem-7491	70	3	animations	animation	NOUN
stem-7491	70	4	in	in	ADP
stem-7491	70	5	geogebra	geogebra	NOUN
stem-7491	70	6	provides	provide	VERB
stem-7491	70	7	substantial	substantial	ADJ
stem-7491	70	8	pedagogical	pedagogical	ADJ
stem-7491	70	9	value	value	NOUN
stem-7491	70	10	by	by	ADP
stem-7491	70	11	promoting	promote	VERB
stem-7491	70	12	algorithmic	algorithmic	ADJ
stem-7491	70	13	thinking	thinking	NOUN
stem-7491	70	14	,	,	PUNCT
stem-7491	70	15	visual	visual	ADJ
stem-7491	70	16	comprehension	comprehension	NOUN
stem-7491	70	17	,	,	PUNCT
stem-7491	70	18	and	and	CCONJ
stem-7491	70	19	student	student	NOUN
stem-7491	70	20	autonomy	autonomy	NOUN
stem-7491	70	21	.	.	PUNCT
stem-7491	71	1	this	this	DET
stem-7491	71	2	instructional	instructional	ADJ
stem-7491	71	3	technique	technique	NOUN
stem-7491	71	4	aligns	align	VERB
stem-7491	71	5	with	with	ADP
stem-7491	71	6	the	the	DET
stem-7491	71	7	core	core	ADJ
stem-7491	71	8	principles	principle	NOUN
stem-7491	71	9	of	of	ADP
stem-7491	71	10	constructivist	constructivist	ADJ
stem-7491	71	11	pedagogy	pedagogy	NOUN
stem-7491	71	12	and	and	CCONJ
stem-7491	71	13	active	active	ADJ
stem-7491	71	14	learning	learning	NOUN
stem-7491	71	15	,	,	PUNCT
stem-7491	71	16	encouraging	encourage	VERB
stem-7491	71	17	learners	learner	NOUN
stem-7491	71	18	to	to	PART
stem-7491	71	19	engage	engage	VERB
stem-7491	71	20	more	more	ADV
stem-7491	71	21	deeply	deeply	ADV
stem-7491	71	22	with	with	ADP
stem-7491	71	23	the	the	DET
stem-7491	71	24	material	material	NOUN
stem-7491	71	25	and	and	CCONJ
stem-7491	71	26	to	to	PART
stem-7491	71	27	take	take	VERB
stem-7491	71	28	ownership	ownership	NOUN
stem-7491	71	29	of	of	ADP
stem-7491	71	30	their	their	PRON
stem-7491	71	31	learning	learning	NOUN
stem-7491	71	32	process	process	NOUN
stem-7491	71	33	.	.	PUNCT
stem-7491	72	1	mathematically	mathematically	ADV
stem-7491	72	2	,	,	PUNCT
stem-7491	72	3	animating	animate	VERB
stem-7491	72	4	objects	object	NOUN
stem-7491	72	5	in	in	ADP
stem-7491	72	6	a	a	DET
stem-7491	72	7	predetermined	predetermine	VERB
stem-7491	72	8	logical	logical	ADJ
stem-7491	72	9	order	order	NOUN
stem-7491	72	10	helps	helps	AUX
stem-7491	72	11	elucidate	elucidate	VERB
stem-7491	72	12	core	core	ADJ
stem-7491	72	13	mathematical	mathematical	ADJ
stem-7491	72	14	laws	law	NOUN
stem-7491	72	15	and	and	CCONJ
stem-7491	72	16	principles	principle	NOUN
stem-7491	72	17	,	,	PUNCT
stem-7491	72	18	offering	offer	VERB
stem-7491	72	19	a	a	DET
stem-7491	72	20	clearer	clear	ADJ
stem-7491	72	21	and	and	CCONJ
stem-7491	72	22	more	more	ADV
stem-7491	72	23	systematic	systematic	ADJ
stem-7491	72	24	path	path	NOUN
stem-7491	72	25	to	to	ADP
stem-7491	72	26	knowledge	knowledge	NOUN
stem-7491	72	27	acquisition	acquisition	NOUN
stem-7491	72	28	.	.	PUNCT
stem-7491	73	1	as	as	ADP
stem-7491	73	2	a	a	DET
stem-7491	73	3	result	result	NOUN
stem-7491	73	4	,	,	PUNCT
stem-7491	73	5	sequential	sequential	ADJ
stem-7491	73	6	animations	animation	NOUN
stem-7491	73	7	serve	serve	VERB
stem-7491	73	8	not	not	PART
stem-7491	73	9	only	only	ADV
stem-7491	73	10	to	to	PART
stem-7491	73	11	deepen	deepen	VERB
stem-7491	73	12	theoretical	theoretical	ADJ
stem-7491	73	13	understanding	understanding	NOUN
stem-7491	73	14	but	but	CCONJ
stem-7491	73	15	also	also	ADV
stem-7491	73	16	to	to	PART
stem-7491	73	17	foster	foster	VERB
stem-7491	73	18	practical	practical	ADJ
stem-7491	73	19	problem	problem	NOUN
stem-7491	73	20	-	-	PUNCT
stem-7491	73	21	solving	solve	VERB
stem-7491	73	22	skills	skill	NOUN
stem-7491	73	23	—	—	PUNCT
stem-7491	73	24	thereby	thereby	ADV
stem-7491	73	25	improving	improve	VERB
stem-7491	73	26	the	the	DET
stem-7491	73	27	overall	overall	ADJ
stem-7491	73	28	quality	quality	NOUN
stem-7491	73	29	of	of	ADP
stem-7491	73	30	mathematics	mathematic	NOUN
stem-7491	73	31	education	education	NOUN
stem-7491	73	32	(	(	PUNCT
stem-7491	73	33	figures	figure	NOUN
stem-7491	73	34	1,2	1,2	NUM
stem-7491	73	35	are	be	AUX
stem-7491	73	36	examples	example	NOUN
stem-7491	73	37	of	of	ADP
stem-7491	73	38	finding	find	VERB
stem-7491	73	39	the	the	DET
stem-7491	73	40	sum	sum	NOUN
stem-7491	73	41	of	of	ADP
stem-7491	73	42	the	the	DET
stem-7491	73	43	interior	interior	ADJ
stem-7491	73	44	angles	angle	NOUN
stem-7491	73	45	of	of	ADP
stem-7491	73	46	a	a	DET
stem-7491	73	47	triangle	triangle	NOUN
stem-7491	73	48	)	)	PUNCT
stem-7491	73	49	.	.	PUNCT
stem-7491	74	1	314	314	NUM
stem-7491	74	2	american	american	PROPN
stem-7491	74	3	journal	journal	PROPN
stem-7491	74	4	of	of	ADP
stem-7491	74	5	language	language	NOUN
stem-7491	74	6	,	,	PUNCT
stem-7491	74	7	literacy	literacy	NOUN
stem-7491	74	8	and	and	CCONJ
stem-7491	74	9	learning	learn	VERB
stem-7491	74	10	in	in	ADP
stem-7491	74	11	stem	stem	NOUN
stem-7491	74	12	education	education	NOUN
stem-7491	74	13	www	www	PROPN
stem-7491	74	14	.	.	PUNCT
stem-7491	75	1	grnjournal.us	grnjournal.us	X
stem-7491	75	2	conclusion	conclusion	VERB
stem-7491	75	3	the	the	DET
stem-7491	75	4	integration	integration	NOUN
stem-7491	75	5	of	of	ADP
stem-7491	75	6	sequential	sequential	ADJ
stem-7491	75	7	animations	animation	NOUN
stem-7491	75	8	using	use	VERB
stem-7491	75	9	geogebra	geogebra	NOUN
stem-7491	75	10	in	in	ADP
stem-7491	75	11	algebra	algebra	NOUN
stem-7491	75	12	and	and	CCONJ
stem-7491	75	13	geometry	geometry	NOUN
stem-7491	75	14	instruction	instruction	NOUN
stem-7491	75	15	for	for	ADP
stem-7491	75	16	secondary	secondary	ADJ
stem-7491	75	17	school	school	NOUN
stem-7491	75	18	students	student	NOUN
stem-7491	75	19	significantly	significantly	ADV
stem-7491	75	20	contributes	contribute	VERB
stem-7491	75	21	to	to	ADP
stem-7491	75	22	the	the	DET
stem-7491	75	23	development	development	NOUN
stem-7491	75	24	of	of	ADP
stem-7491	75	25	abstract	abstract	ADJ
stem-7491	75	26	reasoning	reasoning	NOUN
stem-7491	75	27	and	and	CCONJ
stem-7491	75	28	analytical	analytical	ADJ
stem-7491	75	29	skills	skill	NOUN
stem-7491	75	30	.	.	PUNCT
stem-7491	76	1	this	this	DET
stem-7491	76	2	instructional	instructional	ADJ
stem-7491	76	3	approach	approach	NOUN
stem-7491	76	4	supports	support	VERB
stem-7491	76	5	a	a	DET
stem-7491	76	6	more	more	ADV
stem-7491	76	7	comprehensive	comprehensive	ADJ
stem-7491	76	8	grasp	grasp	NOUN
stem-7491	76	9	of	of	ADP
stem-7491	76	10	mathematical	mathematical	ADJ
stem-7491	76	11	concepts	concept	NOUN
stem-7491	76	12	,	,	PUNCT
stem-7491	76	13	enabling	enable	VERB
stem-7491	76	14	students	student	NOUN
stem-7491	76	15	to	to	PART
stem-7491	76	16	interpret	interpret	VERB
stem-7491	76	17	and	and	CCONJ
stem-7491	76	18	internalize	internalize	VERB
stem-7491	76	19	subject	subject	NOUN
stem-7491	76	20	matter	matter	NOUN
stem-7491	76	21	more	more	ADV
stem-7491	76	22	effectively	effectively	ADV
stem-7491	76	23	.	.	PUNCT
stem-7491	77	1	through	through	ADP
stem-7491	77	2	animated	animate	VERB
stem-7491	77	3	demonstrations	demonstration	NOUN
stem-7491	77	4	of	of	ADP
stem-7491	77	5	geometric	geometric	ADJ
stem-7491	77	6	figures	figure	NOUN
stem-7491	77	7	,	,	PUNCT
stem-7491	77	8	algebraic	algebraic	ADJ
stem-7491	77	9	expressions	expression	NOUN
stem-7491	77	10	,	,	PUNCT
stem-7491	77	11	and	and	CCONJ
stem-7491	77	12	functions	function	NOUN
stem-7491	77	13	,	,	PUNCT
stem-7491	77	14	students	student	NOUN
stem-7491	77	15	gain	gain	VERB
stem-7491	77	16	access	access	NOUN
stem-7491	77	17	to	to	ADP
stem-7491	77	18	a	a	DET
stem-7491	77	19	dynamic	dynamic	ADJ
stem-7491	77	20	and	and	CCONJ
stem-7491	77	21	interactive	interactive	ADJ
stem-7491	77	22	form	form	NOUN
stem-7491	77	23	of	of	ADP
stem-7491	77	24	learning	learn	VERB
stem-7491	77	25	that	that	PRON
stem-7491	77	26	enhances	enhance	VERB
stem-7491	77	27	their	their	PRON
stem-7491	77	28	conceptual	conceptual	ADJ
stem-7491	77	29	and	and	CCONJ
stem-7491	77	30	operational	operational	ADJ
stem-7491	77	31	proficiency	proficiency	NOUN
stem-7491	77	32	.	.	PUNCT
stem-7491	78	1	from	from	ADP
stem-7491	78	2	a	a	DET
stem-7491	78	3	pedagogical	pedagogical	ADJ
stem-7491	78	4	perspective	perspective	NOUN
stem-7491	78	5	,	,	PUNCT
stem-7491	78	6	the	the	DET
stem-7491	78	7	use	use	NOUN
stem-7491	78	8	of	of	ADP
stem-7491	78	9	educational	educational	ADJ
stem-7491	78	10	technologies	technology	NOUN
stem-7491	78	11	like	like	ADP
stem-7491	78	12	geogebra	geogebra	NOUN
stem-7491	78	13	is	be	AUX
stem-7491	78	14	rooted	root	VERB
stem-7491	78	15	in	in	ADP
stem-7491	78	16	constructivist	constructivist	ADJ
stem-7491	78	17	learning	learning	NOUN
stem-7491	78	18	theory	theory	NOUN
stem-7491	78	19	,	,	PUNCT
stem-7491	78	20	which	which	PRON
stem-7491	78	21	emphasizes	emphasize	VERB
stem-7491	78	22	learner	learner	NOUN
stem-7491	78	23	-	-	PUNCT
stem-7491	78	24	centered	center	VERB
stem-7491	78	25	instruction	instruction	NOUN
stem-7491	78	26	,	,	PUNCT
stem-7491	78	27	independent	independent	ADJ
stem-7491	78	28	exploration	exploration	NOUN
stem-7491	78	29	,	,	PUNCT
stem-7491	78	30	and	and	CCONJ
stem-7491	78	31	active	active	ADJ
stem-7491	78	32	engagement	engagement	NOUN
stem-7491	78	33	.	.	PUNCT
stem-7491	79	1	this	this	DET
stem-7491	79	2	framework	framework	NOUN
stem-7491	79	3	empowers	empower	VERB
stem-7491	79	4	students	student	NOUN
stem-7491	79	5	to	to	PART
stem-7491	79	6	construct	construct	VERB
stem-7491	79	7	their	their	PRON
stem-7491	79	8	own	own	ADJ
stem-7491	79	9	understanding	understanding	NOUN
stem-7491	79	10	of	of	ADP
stem-7491	79	11	mathematical	mathematical	ADJ
stem-7491	79	12	concepts	concept	NOUN
stem-7491	79	13	through	through	ADP
stem-7491	79	14	visual	visual	ADJ
stem-7491	79	15	and	and	CCONJ
stem-7491	79	16	experiential	experiential	ADJ
stem-7491	79	17	means	mean	NOUN
stem-7491	79	18	.	.	PUNCT
stem-7491	80	1	for	for	ADP
stem-7491	80	2	instance	instance	NOUN
stem-7491	80	3	,	,	PUNCT
stem-7491	80	4	by	by	ADP
stem-7491	80	5	visualizing	visualize	VERB
stem-7491	80	6	the	the	DET
stem-7491	80	7	graphical	graphical	ADJ
stem-7491	80	8	behavior	behavior	NOUN
stem-7491	80	9	of	of	ADP
stem-7491	80	10	algebraic	algebraic	ADJ
stem-7491	80	11	equations	equation	NOUN
stem-7491	80	12	through	through	ADP
stem-7491	80	13	animation	animation	NOUN
stem-7491	80	14	,	,	PUNCT
stem-7491	80	15	students	student	NOUN
stem-7491	80	16	can	can	AUX
stem-7491	80	17	more	more	ADV
stem-7491	80	18	easily	easily	ADV
stem-7491	80	19	connect	connect	VERB
stem-7491	80	20	symbolic	symbolic	ADJ
stem-7491	80	21	representations	representation	NOUN
stem-7491	80	22	with	with	ADP
stem-7491	80	23	their	their	PRON
stem-7491	80	24	corresponding	corresponding	ADJ
stem-7491	80	25	geometric	geometric	ADJ
stem-7491	80	26	interpretations	interpretation	NOUN
stem-7491	80	27	.	.	PUNCT
stem-7491	81	1	such	such	ADJ
stem-7491	81	2	visualspatial	visualspatial	ADJ
stem-7491	81	3	learning	learning	NOUN
stem-7491	81	4	aids	aid	NOUN
stem-7491	81	5	not	not	PART
stem-7491	81	6	only	only	ADV
stem-7491	81	7	improve	improve	VERB
stem-7491	81	8	mathematical	mathematical	ADJ
stem-7491	81	9	literacy	literacy	NOUN
stem-7491	81	10	but	but	CCONJ
stem-7491	81	11	also	also	ADV
stem-7491	81	12	enhance	enhance	VERB
stem-7491	81	13	students	student	NOUN
stem-7491	81	14	’	'	PUNCT
stem-7491	81	15	abilities	ability	NOUN
stem-7491	81	16	in	in	ADP
stem-7491	81	17	problem	problem	NOUN
stem-7491	81	18	-	-	PUNCT
stem-7491	81	19	solving	solve	VERB
stem-7491	81	20	and	and	CCONJ
stem-7491	81	21	variable	variable	ADJ
stem-7491	81	22	analysis	analysis	NOUN
stem-7491	81	23	.	.	PUNCT
stem-7491	82	1	moreover	moreover	ADV
stem-7491	82	2	,	,	PUNCT
stem-7491	82	3	the	the	DET
stem-7491	82	4	structured	structured	ADJ
stem-7491	82	5	application	application	NOUN
stem-7491	82	6	of	of	ADP
stem-7491	82	7	animations	animation	NOUN
stem-7491	82	8	in	in	ADP
stem-7491	82	9	geogebra	geogebra	NOUN
stem-7491	82	10	supports	support	VERB
stem-7491	82	11	practical	practical	ADJ
stem-7491	82	12	learning	learning	NOUN
stem-7491	82	13	activities	activity	NOUN
stem-7491	82	14	,	,	PUNCT
stem-7491	82	15	helping	help	VERB
stem-7491	82	16	students	student	NOUN
stem-7491	82	17	to	to	PART
stem-7491	82	18	refine	refine	VERB
stem-7491	82	19	their	their	PRON
stem-7491	82	20	mathematical	mathematical	ADJ
stem-7491	82	21	thinking	thinking	NOUN
stem-7491	82	22	skills	skill	NOUN
stem-7491	82	23	and	and	CCONJ
stem-7491	82	24	to	to	PART
stem-7491	82	25	approach	approach	VERB
stem-7491	82	26	problem	problem	NOUN
stem-7491	82	27	-	-	PUNCT
stem-7491	82	28	solving	solve	VERB
stem-7491	82	29	tasks	task	NOUN
stem-7491	82	30	with	with	ADP
stem-7491	82	31	greater	great	ADJ
stem-7491	82	32	confidence	confidence	NOUN
stem-7491	82	33	.	.	PUNCT
stem-7491	83	1	this	this	DET
stem-7491	83	2	methodology	methodology	NOUN
stem-7491	83	3	also	also	ADV
stem-7491	83	4	serves	serve	VERB
stem-7491	83	5	as	as	ADP
stem-7491	83	6	a	a	DET
stem-7491	83	7	catalyst	catalyst	NOUN
stem-7491	83	8	for	for	ADP
stem-7491	83	9	creating	create	VERB
stem-7491	83	10	engaging	engaging	ADJ
stem-7491	83	11	and	and	CCONJ
stem-7491	83	12	interactive	interactive	ADJ
stem-7491	83	13	math	math	NOUN
stem-7491	83	14	lessons	lesson	NOUN
stem-7491	83	15	,	,	PUNCT
stem-7491	83	16	increasing	increase	VERB
stem-7491	83	17	students	student	NOUN
stem-7491	83	18	’	’	PART
stem-7491	83	19	enthusiasm	enthusiasm	NOUN
stem-7491	83	20	for	for	ADP
stem-7491	83	21	the	the	DET
stem-7491	83	22	subject	subject	NOUN
stem-7491	83	23	and	and	CCONJ
stem-7491	83	24	motivating	motivate	VERB
stem-7491	83	25	them	they	PRON
stem-7491	83	26	to	to	PART
stem-7491	83	27	delve	delve	VERB
stem-7491	83	28	deeper	deeply	ADV
stem-7491	83	29	into	into	ADP
stem-7491	83	30	the	the	DET
stem-7491	83	31	material	material	NOUN
stem-7491	83	32	.	.	PUNCT
stem-7491	84	1	in	in	ADP
stem-7491	84	2	this	this	DET
stem-7491	84	3	way	way	NOUN
stem-7491	84	4	,	,	PUNCT
stem-7491	84	5	the	the	DET
stem-7491	84	6	educational	educational	ADJ
stem-7491	84	7	use	use	NOUN
stem-7491	84	8	of	of	ADP
stem-7491	84	9	animations	animation	NOUN
stem-7491	84	10	with	with	ADP
stem-7491	84	11	geogebra	geogebra	NOUN
stem-7491	84	12	not	not	PART
stem-7491	84	13	only	only	ADV
stem-7491	84	14	facilitates	facilitate	VERB
stem-7491	84	15	the	the	DET
stem-7491	84	16	understanding	understanding	NOUN
stem-7491	84	17	of	of	ADP
stem-7491	84	18	abstract	abstract	ADJ
stem-7491	84	19	mathematical	mathematical	ADJ
stem-7491	84	20	ideas	idea	NOUN
stem-7491	84	21	,	,	PUNCT
stem-7491	84	22	but	but	CCONJ
stem-7491	84	23	also	also	ADV
stem-7491	84	24	strengthens	strengthen	VERB
stem-7491	84	25	the	the	DET
stem-7491	84	26	connection	connection	NOUN
stem-7491	84	27	between	between	ADP
stem-7491	84	28	theory	theory	NOUN
stem-7491	84	29	and	and	CCONJ
stem-7491	84	30	real	real	ADJ
stem-7491	84	31	-	-	PUNCT
stem-7491	84	32	world	world	NOUN
stem-7491	84	33	application	application	NOUN
stem-7491	84	34	.	.	PUNCT
stem-7491	85	1	ultimately	ultimately	ADV
stem-7491	85	2	,	,	PUNCT
stem-7491	85	3	this	this	DET
stem-7491	85	4	pedagogical	pedagogical	ADJ
stem-7491	85	5	approach	approach	NOUN
stem-7491	85	6	provides	provide	VERB
stem-7491	85	7	mathematics	mathematic	NOUN
stem-7491	85	8	educators	educator	NOUN
stem-7491	85	9	with	with	ADP
stem-7491	85	10	an	an	DET
stem-7491	85	11	innovative	innovative	ADJ
stem-7491	85	12	tool	tool	NOUN
stem-7491	85	13	for	for	ADP
stem-7491	85	14	designing	design	VERB
stem-7491	85	15	more	more	ADV
stem-7491	85	16	effective	effective	ADJ
stem-7491	85	17	and	and	CCONJ
stem-7491	85	18	stimulating	stimulate	VERB
stem-7491	85	19	lessons	lesson	NOUN
stem-7491	85	20	.	.	PUNCT
stem-7491	86	1	by	by	ADP
stem-7491	86	2	doing	do	VERB
stem-7491	86	3	so	so	ADV
stem-7491	86	4	,	,	PUNCT
stem-7491	86	5	it	it	PRON
stem-7491	86	6	cultivates	cultivate	VERB
stem-7491	86	7	a	a	DET
stem-7491	86	8	more	more	ADV
stem-7491	86	9	interactive	interactive	ADJ
stem-7491	86	10	and	and	CCONJ
stem-7491	86	11	learner	learner	NOUN
stem-7491	86	12	-	-	PUNCT
stem-7491	86	13	centered	center	VERB
stem-7491	86	14	classroom	classroom	NOUN
stem-7491	86	15	environment	environment	NOUN
stem-7491	86	16	—	—	PUNCT
stem-7491	86	17	one	one	NUM
stem-7491	86	18	in	in	ADP
stem-7491	86	19	which	which	PRON
stem-7491	86	20	students	student	NOUN
stem-7491	86	21	are	be	AUX
stem-7491	86	22	not	not	PART
stem-7491	86	23	only	only	ADV
stem-7491	86	24	better	well	ADV
stem-7491	86	25	prepared	prepared	ADJ
stem-7491	86	26	to	to	PART
stem-7491	86	27	succeed	succeed	VERB
stem-7491	86	28	in	in	ADP
stem-7491	86	29	mathematics	mathematic	NOUN
stem-7491	86	30	,	,	PUNCT
stem-7491	86	31	but	but	CCONJ
stem-7491	86	32	are	be	AUX
stem-7491	86	33	also	also	ADV
stem-7491	86	34	inspired	inspire	VERB
stem-7491	86	35	to	to	PART
stem-7491	86	36	appreciate	appreciate	VERB
stem-7491	86	37	its	its	PRON
stem-7491	86	38	relevance	relevance	NOUN
stem-7491	86	39	in	in	ADP
stem-7491	86	40	everyday	everyday	ADJ
stem-7491	86	41	life	life	NOUN
stem-7491	86	42	.	.	PUNCT
stem-7491	87	1	references	reference	NOUN
stem-7491	87	2	1	1	NUM
stem-7491	87	3	.	.	PUNCT
stem-7491	87	4	hohenwarter	hohenwarter	PROPN
stem-7491	87	5	va	va	PROPN
stem-7491	87	6	fuchs	fuchs	PROPN
stem-7491	87	7	(	(	PUNCT
stem-7491	87	8	2008	2008	NUM
stem-7491	87	9	)	)	PUNCT
stem-7491	87	10	“	"	PUNCT
stem-7491	87	11	combination	combination	NOUN
stem-7491	87	12	of	of	ADP
stem-7491	87	13	dynamic	dynamic	ADJ
stem-7491	87	14	geometry	geometry	NOUN
stem-7491	87	15	,	,	PUNCT
stem-7491	87	16	algebra	algebra	NOUN
stem-7491	87	17	and	and	CCONJ
stem-7491	87	18	calculus	calculus	NOUN
stem-7491	87	19	in	in	ADP
stem-7491	87	20	the	the	DET
stem-7491	87	21	software	software	NOUN
stem-7491	87	22	system	system	NOUN
stem-7491	87	23	geogebra	geogebra	NOUN
stem-7491	87	24	”	"	PUNCT
stem-7491	87	25	http://www.researchgate.net/publication/228398347	http://www.researchgate.net/publication/228398347	NOUN
stem-7491	87	26	2	2	NUM
stem-7491	87	27	.	.	PUNCT
stem-7491	87	28	tall	tall	ADJ
stem-7491	87	29	va	va	NOUN
stem-7491	87	30	vinner	vinner	NOUN
stem-7491	87	31	(	(	PUNCT
stem-7491	87	32	2011	2011	NUM
stem-7491	87	33	)	)	PUNCT
stem-7491	87	34	“	"	PUNCT
stem-7491	87	35	concept	concept	NOUN
stem-7491	87	36	image	image	NOUN
stem-7491	87	37	and	and	CCONJ
stem-7491	87	38	concept	concept	NOUN
stem-7491	87	39	definition	definition	NOUN
stem-7491	87	40	in	in	ADP
stem-7491	87	41	mathematics	mathematic	NOUN
stem-7491	87	42	with	with	ADP
stem-7491	87	43	particular	particular	ADJ
stem-7491	87	44	reference	reference	NOUN
stem-7491	87	45	to	to	ADP
stem-7491	87	46	limits	limit	NOUN
stem-7491	87	47	and	and	CCONJ
stem-7491	87	48	continuity	continuity	NOUN
stem-7491	87	49	”	"	PUNCT
stem-7491	87	50	educational	educational	ADJ
stem-7491	87	51	studies	study	NOUN
stem-7491	87	52	in	in	ADP
stem-7491	87	53	mathematics	mathematic	NOUN
stem-7491	87	54	pp	pp	ADP
stem-7491	87	55	40	40	NUM
stem-7491	87	56	-	-	SYM
stem-7491	87	57	44	44	NUM
stem-7491	87	58	3	3	NUM
stem-7491	87	59	.	.	PUNCT
stem-7491	88	1	drijvers	drijver	NOUN
stem-7491	88	2	(	(	PUNCT
stem-7491	88	3	2015	2015	NUM
stem-7491	88	4	)	)	PUNCT
stem-7491	88	5	“	"	PUNCT
stem-7491	88	6	digital	digital	ADJ
stem-7491	88	7	technology	technology	NOUN
stem-7491	88	8	in	in	ADP
stem-7491	88	9	mathematics	mathematics	NOUN
stem-7491	88	10	education	education	NOUN
stem-7491	88	11	:	:	PUNCT
stem-7491	88	12	why	why	SCONJ
stem-7491	88	13	it	it	PRON
stem-7491	88	14	works	work	VERB
stem-7491	88	15	(	(	PUNCT
stem-7491	88	16	or	or	CCONJ
stem-7491	88	17	does	do	VERB
stem-7491	88	18	n't	not	PART
stem-7491	88	19	)	)	PUNCT
stem-7491	88	20	”	"	PUNCT
stem-7491	88	21	the	the	DET
stem-7491	88	22	mathematics	mathematic	NOUN
stem-7491	88	23	enthusiast	enthusiast	NOUN
stem-7491	88	24	pp	pp	ADP
stem-7491	88	25	(	(	PUNCT
stem-7491	88	26	1	1	NUM
stem-7491	88	27	-	-	SYM
stem-7491	88	28	20	20	NUM
stem-7491	88	29	)	)	PUNCT
stem-7491	88	30	315	315	NUM
stem-7491	88	31	american	american	ADJ
stem-7491	88	32	journal	journal	PROPN
stem-7491	88	33	of	of	ADP
stem-7491	88	34	language	language	NOUN
stem-7491	88	35	,	,	PUNCT
stem-7491	88	36	literacy	literacy	NOUN
stem-7491	88	37	and	and	CCONJ
stem-7491	88	38	learning	learn	VERB
stem-7491	88	39	in	in	ADP
stem-7491	88	40	stem	stem	NOUN
stem-7491	88	41	education	education	NOUN
stem-7491	88	42	www	www	PROPN
stem-7491	88	43	.	.	PUNCT
stem-7491	89	1	grnjournal.us	grnjournal.us	X
stem-7491	89	2	4	4	NUM
stem-7491	89	3	.	.	PROPN
stem-7491	89	4	jan	jan	PROPN
stem-7491	89	5	amos	amos	PROPN
stem-7491	89	6	komenskiy	komenskiy	PROPN
stem-7491	89	7	(	(	PUNCT
stem-7491	89	8	1592–1670	1592–1670	NUM
stem-7491	89	9	)	)	PUNCT
stem-7491	89	10	“	"	PUNCT
stem-7491	89	11	yan	yan	PROPN
stem-7491	89	12	amos	amos	PROPN
stem-7491	89	13	komenskiyning	komenskiyning	PROPN
stem-7491	89	14	pedagogik	pedagogik	PROPN
stem-7491	89	15	nazariyasi	nazariyasi	NOUN
stem-7491	89	16	”	"	PUNCT
stem-7491	89	17	qo’qon	qo’qon	NOUN
stem-7491	89	18	universiteti	universiteti	ADJ
stem-7491	89	19	xabarnomasi	xabarnomasi	PROPN
stem-7491	89	20	60	60	NUM
stem-7491	89	21	-	-	SYM
stem-7491	89	22	63	63	NUM
stem-7491	89	23	-	-	PUNCT
stem-7491	89	24	betlar	betlar	ADJ
stem-7491	89	25	doi:10.54613	doi:10.54613	NOUN
stem-7491	89	26	/	/	SYM
stem-7491	89	27	ku.v11i11.957	ku.v11i11.957	NOUN
stem-7491	89	28	5	5	NUM
stem-7491	89	29	.	.	X
stem-7491	89	30	lev	lev	NOUN
stem-7491	89	31	vygotskiy	vygotskiy	NOUN
stem-7491	89	32	(	(	PUNCT
stem-7491	89	33	1896–1934	1896–1934	NUM
stem-7491	89	34	)	)	PUNCT
stem-7491	89	35	mind	mind	NOUN
stem-7491	89	36	in	in	ADP
stem-7491	89	37	society	society	NOUN
stem-7491	89	38	:	:	PUNCT
stem-7491	89	39	the	the	DET
stem-7491	89	40	development	development	NOUN
stem-7491	89	41	of	of	ADP
stem-7491	89	42	higher	high	ADJ
stem-7491	89	43	psychological	psychological	ADJ
stem-7491	89	44	processes	process	NOUN