id	sid	tid	token	lemma	pos
ajbmeb-2627	1	1	american	american	PROPN
ajbmeb-2627	1	2	journal	journal	PROPN
ajbmeb-2627	1	3	of	of	ADP
ajbmeb-2627	1	4	business	business	NOUN
ajbmeb-2627	1	5	management	management	NOUN
ajbmeb-2627	1	6	,	,	PUNCT
ajbmeb-2627	1	7	economics	economic	NOUN
ajbmeb-2627	1	8	and	and	CCONJ
ajbmeb-2627	1	9	banking	banking	NOUN
ajbmeb-2627	1	10	issn	issn	PROPN
ajbmeb-2627	1	11	(	(	PUNCT
ajbmeb-2627	1	12	e	e	NOUN
ajbmeb-2627	1	13	):	):	PUNCT
ajbmeb-2627	1	14	2832	2832	NUM
ajbmeb-2627	1	15	-	-	SYM
ajbmeb-2627	1	16	8078	8078	NUM
ajbmeb-2627	1	17	volume	volume	NOUN
ajbmeb-2627	1	18	32	32	NUM
ajbmeb-2627	1	19	,	,	PUNCT
ajbmeb-2627	1	20	|	|	ADV
ajbmeb-2627	1	21	january	january	PROPN
ajbmeb-2627	1	22	2025	2025	NUM
ajbmeb-2627	1	23	p	p	NOUN
ajbmeb-2627	1	24	a	a	DET
ajbmeb-2627	1	25	g	g	NOUN
ajbmeb-2627	1	26	e	e	NOUN
ajbmeb-2627	1	27	|	|	ADV
ajbmeb-2627	1	28	23	23	NUM
ajbmeb-2627	1	29	www.americanjournal.org	www.americanjournal.org	NOUN
ajbmeb-2627	1	30	introduce	introduce	NOUN
ajbmeb-2627	1	31	geometry	geometry	NOUN
ajbmeb-2627	1	32	in	in	ADP
ajbmeb-2627	1	33	schools	school	NOUN
ajbmeb-2627	1	34	abdurashitov	abdurashitov	PROPN
ajbmeb-2627	1	35	raxmatullo	raxmatullo	PROPN
ajbmeb-2627	1	36	abduxamitovich	abduxamitovich	PROPN
ajbmeb-2627	1	37	xusenov	xusenov	PROPN
ajbmeb-2627	1	38	zikrillo	zikrillo	PROPN
ajbmeb-2627	1	39	raxmatillo	raxmatillo	VERB
ajbmeb-2627	1	40	o'g'li	o'g'li	PROPN
ajbmeb-2627	1	41	adxamov	adxamov	ADJ
ajbmeb-2627	1	42	xasanboy	xasanboy	PROPN
ajbmeb-2627	2	1	abdusalom	abdusalom	NOUN
ajbmeb-2627	2	2	o‘g‘li	o‘g‘li	PRON
ajbmeb-2627	2	3	a	a	DET
ajbmeb-2627	2	4	b	b	NOUN
ajbmeb-2627	2	5	s	s	ADP
ajbmeb-2627	2	6	t	t	PROPN
ajbmeb-2627	2	7	r	r	NOUN
ajbmeb-2627	2	8	a	a	DET
ajbmeb-2627	2	9	c	c	NOUN
ajbmeb-2627	2	10	t	t	NOUN
ajbmeb-2627	2	11	k	k	X
ajbmeb-2627	2	12	e	e	PROPN
ajbmeb-2627	2	13	y	y	PROPN
ajbmeb-2627	2	14	w	w	NOUN
ajbmeb-2627	3	1	o	o	NOUN
ajbmeb-2627	3	2	r	r	NOUN
ajbmeb-2627	3	3	d	d	X
ajbmeb-2627	3	4	s	s	NOUN
ajbmeb-2627	3	5	in	in	ADP
ajbmeb-2627	3	6	this	this	DET
ajbmeb-2627	3	7	article	article	NOUN
ajbmeb-2627	3	8	,	,	PUNCT
ajbmeb-2627	3	9	we	we	PRON
ajbmeb-2627	3	10	will	will	AUX
ajbmeb-2627	3	11	explore	explore	VERB
ajbmeb-2627	3	12	various	various	ADJ
ajbmeb-2627	3	13	strategies	strategy	NOUN
ajbmeb-2627	3	14	that	that	PRON
ajbmeb-2627	3	15	can	can	AUX
ajbmeb-2627	3	16	enhance	enhance	VERB
ajbmeb-2627	3	17	the	the	DET
ajbmeb-2627	3	18	teaching	teaching	NOUN
ajbmeb-2627	3	19	and	and	CCONJ
ajbmeb-2627	3	20	learning	learning	NOUN
ajbmeb-2627	3	21	of	of	ADP
ajbmeb-2627	3	22	geometry	geometry	NOUN
ajbmeb-2627	3	23	in	in	ADP
ajbmeb-2627	3	24	a	a	DET
ajbmeb-2627	3	25	school	school	NOUN
ajbmeb-2627	3	26	mathematics	mathematics	NOUN
ajbmeb-2627	3	27	course	course	NOUN
ajbmeb-2627	3	28	,	,	PUNCT
ajbmeb-2627	3	29	including	include	VERB
ajbmeb-2627	3	30	applied	apply	VERB
ajbmeb-2627	3	31	learning	learning	NOUN
ajbmeb-2627	3	32	,	,	PUNCT
ajbmeb-2627	3	33	visual	visual	ADJ
ajbmeb-2627	3	34	images	image	NOUN
ajbmeb-2627	3	35	,	,	PUNCT
ajbmeb-2627	3	36	problem	problem	NOUN
ajbmeb-2627	3	37	-	-	PUNCT
ajbmeb-2627	3	38	solving	solve	VERB
ajbmeb-2627	3	39	approaches	approach	NOUN
ajbmeb-2627	3	40	,	,	PUNCT
ajbmeb-2627	3	41	real	real	ADJ
ajbmeb-2627	3	42	-	-	PUNCT
ajbmeb-2627	3	43	world	world	NOUN
ajbmeb-2627	3	44	applications	application	NOUN
ajbmeb-2627	3	45	,	,	PUNCT
ajbmeb-2627	3	46	interactive	interactive	ADJ
ajbmeb-2627	3	47	technology	technology	NOUN
ajbmeb-2627	3	48	,	,	PUNCT
ajbmeb-2627	3	49	and	and	CCONJ
ajbmeb-2627	3	50	collaborative	collaborative	ADJ
ajbmeb-2627	3	51	learning	learning	NOUN
ajbmeb-2627	3	52	.	.	PUNCT
ajbmeb-2627	4	1	keywords	keyword	NOUN
ajbmeb-2627	4	2	:	:	PUNCT
ajbmeb-2627	4	3	mathematics	mathematic	NOUN
ajbmeb-2627	4	4	,	,	PUNCT
ajbmeb-2627	4	5	geometry	geometry	NOUN
ajbmeb-2627	4	6	,	,	PUNCT
ajbmeb-2627	4	7	formula	formula	NOUN
ajbmeb-2627	4	8	,	,	PUNCT
ajbmeb-2627	4	9	theorems	theorem	NOUN
ajbmeb-2627	4	10	,	,	PUNCT
ajbmeb-2627	4	11	methods	method	NOUN
ajbmeb-2627	4	12	,	,	PUNCT
ajbmeb-2627	4	13	shapes	shape	NOUN
ajbmeb-2627	4	14	,	,	PUNCT
ajbmeb-2627	4	15	angles	angle	NOUN
ajbmeb-2627	4	16	,	,	PUNCT
ajbmeb-2627	4	17	issues	issue	NOUN
ajbmeb-2627	4	18	,	,	PUNCT
ajbmeb-2627	4	19	logical	logical	ADJ
ajbmeb-2627	4	20	thinking	thinking	NOUN
ajbmeb-2627	4	21	.	.	PUNCT
ajbmeb-2627	5	1	geometry	geometry	NOUN
ajbmeb-2627	5	2	,	,	PUNCT
ajbmeb-2627	5	3	formula	formula	NOUN
ajbmeb-2627	5	4	,	,	PUNCT
ajbmeb-2627	5	5	drawing	drawing	NOUN
ajbmeb-2627	5	6	,	,	PUNCT
ajbmeb-2627	5	7	transporter	transporter	NOUN
ajbmeb-2627	5	8	,	,	PUNCT
ajbmeb-2627	5	9	circle	circle	NOUN
ajbmeb-2627	5	10	,	,	PUNCT
ajbmeb-2627	5	11	diagram	diagram	NOUN
ajbmeb-2627	5	12	.	.	PUNCT
ajbmeb-2627	6	1	introduction	introduction	NOUN
ajbmeb-2627	6	2	mathematical	mathematical	ADJ
ajbmeb-2627	6	3	consciousness	consciousness	NOUN
ajbmeb-2627	6	4	should	should	AUX
ajbmeb-2627	6	5	be	be	AUX
ajbmeb-2627	6	6	formed	form	VERB
ajbmeb-2627	6	7	from	from	ADP
ajbmeb-2627	6	8	kindergarten	kindergarten	NOUN
ajbmeb-2627	6	9	,	,	PUNCT
ajbmeb-2627	6	10	the	the	DET
ajbmeb-2627	6	11	first	first	ADJ
ajbmeb-2627	6	12	period	period	NOUN
ajbmeb-2627	6	13	of	of	ADP
ajbmeb-2627	6	14	school	school	NOUN
ajbmeb-2627	6	15	.	.	PUNCT
ajbmeb-2627	7	1	mathematics	mathematic	NOUN
ajbmeb-2627	7	2	is	be	AUX
ajbmeb-2627	7	3	the	the	DET
ajbmeb-2627	7	4	basis	basis	NOUN
ajbmeb-2627	7	5	for	for	ADP
ajbmeb-2627	7	6	all	all	DET
ajbmeb-2627	7	7	exact	exact	ADJ
ajbmeb-2627	7	8	sciences	science	NOUN
ajbmeb-2627	7	9	.	.	PUNCT
ajbmeb-2627	8	1	knowing	know	VERB
ajbmeb-2627	8	2	this	this	DET
ajbmeb-2627	8	3	science	science	NOUN
ajbmeb-2627	8	4	,	,	PUNCT
ajbmeb-2627	8	5	a	a	DET
ajbmeb-2627	8	6	child	child	NOUN
ajbmeb-2627	8	7	grows	grow	VERB
ajbmeb-2627	8	8	up	up	ADP
ajbmeb-2627	8	9	intelligent	intelligent	ADJ
ajbmeb-2627	8	10	,	,	PUNCT
ajbmeb-2627	8	11	broad	broad	ADV
ajbmeb-2627	8	12	-	-	PUNCT
ajbmeb-2627	8	13	minded	minded	ADJ
ajbmeb-2627	8	14	,	,	PUNCT
ajbmeb-2627	8	15	able	able	ADJ
ajbmeb-2627	8	16	to	to	PART
ajbmeb-2627	8	17	successfully	successfully	ADV
ajbmeb-2627	8	18	work	work	VERB
ajbmeb-2627	8	19	in	in	ADP
ajbmeb-2627	8	20	any	any	DET
ajbmeb-2627	8	21	area	area	NOUN
ajbmeb-2627	8	22	.	.	PUNCT
ajbmeb-2627	9	1	the	the	DET
ajbmeb-2627	9	2	word	word	NOUN
ajbmeb-2627	9	3	mathematics	mathematics	PROPN
ajbmeb-2627	9	4	is	be	AUX
ajbmeb-2627	9	5	derived	derive	VERB
ajbmeb-2627	9	6	from	from	ADP
ajbmeb-2627	9	7	the	the	DET
ajbmeb-2627	9	8	ancient	ancient	ADJ
ajbmeb-2627	9	9	greek	greek	ADJ
ajbmeb-2627	9	10	word	word	NOUN
ajbmeb-2627	9	11	mathema	mathema	ADV
ajbmeb-2627	9	12	,	,	PUNCT
ajbmeb-2627	9	13	which	which	PRON
ajbmeb-2627	9	14	means	mean	VERB
ajbmeb-2627	9	15	"	"	PUNCT
ajbmeb-2627	9	16	knowledge	knowledge	NOUN
ajbmeb-2627	9	17	of	of	ADP
ajbmeb-2627	9	18	the	the	DET
ajbmeb-2627	9	19	sciences	science	NOUN
ajbmeb-2627	9	20	"	"	PUNCT
ajbmeb-2627	9	21	.	.	PUNCT
ajbmeb-2627	10	1	what	what	PRON
ajbmeb-2627	10	2	mathematics	mathematics	NOUN
ajbmeb-2627	10	3	studies	study	NOUN
ajbmeb-2627	10	4	(	(	PUNCT
ajbmeb-2627	10	5	object	object	NOUN
ajbmeb-2627	10	6	)	)	PUNCT
ajbmeb-2627	10	7	consists	consist	VERB
ajbmeb-2627	10	8	of	of	ADP
ajbmeb-2627	10	9	the	the	DET
ajbmeb-2627	10	10	spatial	spatial	ADJ
ajbmeb-2627	10	11	forms	form	NOUN
ajbmeb-2627	10	12	of	of	ADP
ajbmeb-2627	10	13	what	what	PRON
ajbmeb-2627	10	14	exists	exist	VERB
ajbmeb-2627	10	15	in	in	ADP
ajbmeb-2627	10	16	matter	matter	NOUN
ajbmeb-2627	10	17	and	and	CCONJ
ajbmeb-2627	10	18	the	the	DET
ajbmeb-2627	10	19	quantitative	quantitative	ADJ
ajbmeb-2627	10	20	relationships	relationship	NOUN
ajbmeb-2627	10	21	between	between	ADP
ajbmeb-2627	10	22	them	they	PRON
ajbmeb-2627	10	23	.	.	PUNCT
ajbmeb-2627	11	1	in	in	ADP
ajbmeb-2627	11	2	the	the	DET
ajbmeb-2627	11	3	current	current	ADJ
ajbmeb-2627	11	4	era	era	NOUN
ajbmeb-2627	11	5	,	,	PUNCT
ajbmeb-2627	11	6	mathematics	mathematics	PROPN
ajbmeb-2627	11	7	is	be	AUX
ajbmeb-2627	11	8	conditionally	conditionally	ADV
ajbmeb-2627	11	9	divided	divide	VERB
ajbmeb-2627	11	10	into	into	ADP
ajbmeb-2627	11	11	two	two	NUM
ajbmeb-2627	11	12	.	.	NOUN
ajbmeb-2627	12	1	1	1	NUM
ajbmeb-2627	12	2	)	)	PUNCT
ajbmeb-2627	12	3	elementary	elementary	ADJ
ajbmeb-2627	12	4	mathematics	mathematic	NOUN
ajbmeb-2627	12	5	2	2	NUM
ajbmeb-2627	12	6	)	)	PUNCT
ajbmeb-2627	12	7	higher	high	ADJ
ajbmeb-2627	12	8	mathematics	mathematic	NOUN
ajbmeb-2627	12	9	.	.	PUNCT
ajbmeb-2627	13	1	elementary	elementary	ADJ
ajbmeb-2627	13	2	mathematics	mathematics	PROPN
ajbmeb-2627	13	3	is	be	AUX
ajbmeb-2627	13	4	also	also	ADV
ajbmeb-2627	13	5	a	a	DET
ajbmeb-2627	13	6	science	science	NOUN
ajbmeb-2627	13	7	with	with	ADP
ajbmeb-2627	13	8	an	an	DET
ajbmeb-2627	13	9	independent	independent	ADJ
ajbmeb-2627	13	10	meaning	meaning	NOUN
ajbmeb-2627	13	11	,	,	PUNCT
ajbmeb-2627	13	12	which	which	PRON
ajbmeb-2627	13	13	is	be	AUX
ajbmeb-2627	13	14	based	base	VERB
ajbmeb-2627	13	15	on	on	ADP
ajbmeb-2627	13	16	elementary	elementary	ADJ
ajbmeb-2627	13	17	data	datum	NOUN
ajbmeb-2627	13	18	from	from	ADP
ajbmeb-2627	13	19	various	various	ADJ
ajbmeb-2627	13	20	sections	section	NOUN
ajbmeb-2627	13	21	of	of	ADP
ajbmeb-2627	13	22	higher	high	ADJ
ajbmeb-2627	13	23	mathematics	mathematic	NOUN
ajbmeb-2627	13	24	,	,	PUNCT
ajbmeb-2627	13	25	namely	namely	ADV
ajbmeb-2627	13	26	theoretical	theoretical	ADJ
ajbmeb-2627	13	27	arithmetic	arithmetic	ADJ
ajbmeb-2627	13	28	,	,	PUNCT
ajbmeb-2627	13	29	number	number	NOUN
ajbmeb-2627	13	30	theory	theory	NOUN
ajbmeb-2627	13	31	,	,	PUNCT
ajbmeb-2627	13	32	higher	high	ADJ
ajbmeb-2627	13	33	algebra	algebra	NOUN
ajbmeb-2627	13	34	,	,	PUNCT
ajbmeb-2627	13	35	mathematical	mathematical	ADJ
ajbmeb-2627	13	36	analysis	analysis	NOUN
ajbmeb-2627	13	37	and	and	CCONJ
ajbmeb-2627	13	38	the	the	DET
ajbmeb-2627	13	39	logic	logic	ADJ
ajbmeb-2627	13	40	course	course	NOUN
ajbmeb-2627	13	41	of	of	ADP
ajbmeb-2627	13	42	geometry	geometry	NOUN
ajbmeb-2627	13	43	.	.	PUNCT
ajbmeb-2627	14	1	higher	high	ADJ
ajbmeb-2627	14	2	mathematics	mathematics	PROPN
ajbmeb-2627	14	3	is	be	AUX
ajbmeb-2627	14	4	concerned	concern	VERB
ajbmeb-2627	14	5	with	with	ADP
ajbmeb-2627	14	6	finding	find	VERB
ajbmeb-2627	14	7	mathematical	mathematical	ADJ
ajbmeb-2627	14	8	laws	law	NOUN
ajbmeb-2627	14	9	that	that	PRON
ajbmeb-2627	14	10	fully	fully	ADV
ajbmeb-2627	14	11	and	and	CCONJ
ajbmeb-2627	14	12	deeply	deeply	ADV
ajbmeb-2627	14	13	reflect	reflect	VERB
ajbmeb-2627	14	14	the	the	DET
ajbmeb-2627	14	15	spatial	spatial	ADJ
ajbmeb-2627	14	16	forms	form	NOUN
ajbmeb-2627	14	17	of	of	ADP
ajbmeb-2627	14	18	the	the	DET
ajbmeb-2627	14	19	real	real	ADJ
ajbmeb-2627	14	20	world	world	NOUN
ajbmeb-2627	14	21	and	and	CCONJ
ajbmeb-2627	14	22	the	the	DET
ajbmeb-2627	14	23	quantitative	quantitative	ADJ
ajbmeb-2627	14	24	relationships	relationship	NOUN
ajbmeb-2627	14	25	between	between	ADP
ajbmeb-2627	14	26	them	they	PRON
ajbmeb-2627	14	27	.	.	PUNCT
ajbmeb-2627	15	1	elementary	elementary	ADJ
ajbmeb-2627	15	2	mathematics	mathematics	PROPN
ajbmeb-2627	15	3	is	be	AUX
ajbmeb-2627	15	4	the	the	DET
ajbmeb-2627	15	5	basis	basis	NOUN
ajbmeb-2627	15	6	of	of	ADP
ajbmeb-2627	15	7	the	the	DET
ajbmeb-2627	15	8	school	school	NOUN
ajbmeb-2627	15	9	mathematics	mathematic	NOUN
ajbmeb-2627	15	10	course	course	NOUN
ajbmeb-2627	15	11	.	.	PUNCT
ajbmeb-2627	16	1	the	the	DET
ajbmeb-2627	16	2	purpose	purpose	NOUN
ajbmeb-2627	16	3	of	of	ADP
ajbmeb-2627	16	4	the	the	DET
ajbmeb-2627	16	5	school	school	NOUN
ajbmeb-2627	16	6	mathematics	mathematic	NOUN
ajbmeb-2627	16	7	course	course	NOUN
ajbmeb-2627	16	8	is	be	AUX
ajbmeb-2627	16	9	to	to	PART
ajbmeb-2627	16	10	give	give	VERB
ajbmeb-2627	16	11	a	a	DET
ajbmeb-2627	16	12	system	system	NOUN
ajbmeb-2627	16	13	of	of	ADP
ajbmeb-2627	16	14	mathematical	mathematical	ADJ
ajbmeb-2627	16	15	knowledge	knowledge	NOUN
ajbmeb-2627	16	16	in	in	ADP
ajbmeb-2627	16	17	a	a	DET
ajbmeb-2627	16	18	certain	certain	ADJ
ajbmeb-2627	16	19	way	way	NOUN
ajbmeb-2627	16	20	(	(	PUNCT
ajbmeb-2627	16	21	through	through	ADP
ajbmeb-2627	16	22	methodology	methodology	NOUN
ajbmeb-2627	16	23	)	)	PUNCT
ajbmeb-2627	16	24	,	,	PUNCT
ajbmeb-2627	16	25	taking	take	VERB
ajbmeb-2627	16	26	into	into	ADP
ajbmeb-2627	16	27	account	account	NOUN
ajbmeb-2627	16	28	the	the	DET
ajbmeb-2627	16	29	psychological	psychological	ADJ
ajbmeb-2627	16	30	characteristics	characteristic	NOUN
ajbmeb-2627	16	31	of	of	ADP
ajbmeb-2627	16	32	students	student	NOUN
ajbmeb-2627	16	33	.	.	PUNCT
ajbmeb-2627	17	1	(	(	PUNCT
ajbmeb-2627	17	2	the	the	DET
ajbmeb-2627	17	3	term	term	NOUN
ajbmeb-2627	17	4	methodology	methodology	NOUN
ajbmeb-2627	17	5	is	be	AUX
ajbmeb-2627	17	6	a	a	DET
ajbmeb-2627	17	7	greek	greek	ADJ
ajbmeb-2627	17	8	word	word	NOUN
ajbmeb-2627	17	9	meaning	mean	VERB
ajbmeb-2627	17	10	"	"	PUNCT
ajbmeb-2627	17	11	way	way	NOUN
ajbmeb-2627	17	12	"	"	PUNCT
ajbmeb-2627	17	13	.	.	PUNCT
ajbmeb-2627	17	14	)	)	PUNCT
ajbmeb-2627	18	1	mathematical	mathematical	ADJ
ajbmeb-2627	18	2	methodology	methodology	NOUN
ajbmeb-2627	18	3	is	be	AUX
ajbmeb-2627	18	4	one	one	NUM
ajbmeb-2627	18	5	of	of	ADP
ajbmeb-2627	18	6	the	the	DET
ajbmeb-2627	18	7	main	main	ADJ
ajbmeb-2627	18	8	sections	section	NOUN
ajbmeb-2627	18	9	of	of	ADP
ajbmeb-2627	18	10	pedagogy	pedagogy	NOUN
ajbmeb-2627	18	11	and	and	CCONJ
ajbmeb-2627	18	12	didactics	didactics	NOUN
ajbmeb-2627	18	13	,	,	PUNCT
ajbmeb-2627	18	14	an	an	DET
ajbmeb-2627	18	15	independent	independent	ADJ
ajbmeb-2627	18	16	discipline	discipline	NOUN
ajbmeb-2627	18	17	that	that	PRON
ajbmeb-2627	18	18	studies	study	VERB
ajbmeb-2627	18	19	the	the	DET
ajbmeb-2627	18	20	laws	law	NOUN
ajbmeb-2627	18	21	of	of	ADP
ajbmeb-2627	18	22	teaching	teaching	NOUN
ajbmeb-2627	18	23	and	and	CCONJ
ajbmeb-2627	18	24	learning	learn	VERB
ajbmeb-2627	18	25	mathematics	mathematic	NOUN
ajbmeb-2627	18	26	in	in	ADP
ajbmeb-2627	18	27	accordance	accordance	NOUN
ajbmeb-2627	18	28	with	with	ADP
ajbmeb-2627	18	29	educational	educational	ADJ
ajbmeb-2627	18	30	goals	goal	NOUN
ajbmeb-2627	18	31	.	.	PUNCT
ajbmeb-2627	19	1	interest	interest	NOUN
ajbmeb-2627	19	2	in	in	ADP
ajbmeb-2627	19	3	mathematics	mathematics	PROPN
ajbmeb-2627	19	4	depends	depend	VERB
ajbmeb-2627	19	5	on	on	ADP
ajbmeb-2627	19	6	the	the	DET
ajbmeb-2627	19	7	high	high	ADJ
ajbmeb-2627	19	8	level	level	NOUN
ajbmeb-2627	19	9	of	of	ADP
ajbmeb-2627	19	10	teaching	teaching	NOUN
ajbmeb-2627	19	11	style	style	NOUN
ajbmeb-2627	19	12	and	and	CCONJ
ajbmeb-2627	19	13	how	how	SCONJ
ajbmeb-2627	19	14	skillfully	skillfully	ADV
ajbmeb-2627	19	15	the	the	DET
ajbmeb-2627	19	16	teaching	teaching	NOUN
ajbmeb-2627	19	17	work	work	NOUN
ajbmeb-2627	19	18	is	be	AUX
ajbmeb-2627	19	19	built	build	VERB
ajbmeb-2627	19	20	.	.	PUNCT
ajbmeb-2627	20	1	each	each	DET
ajbmeb-2627	20	2	student	student	NOUN
ajbmeb-2627	20	3	should	should	AUX
ajbmeb-2627	20	4	be	be	AUX
ajbmeb-2627	20	5	active	active	ADJ
ajbmeb-2627	20	6	in	in	ADP
ajbmeb-2627	20	7	the	the	DET
ajbmeb-2627	20	8	lesson	lesson	NOUN
ajbmeb-2627	20	9	,	,	PUNCT
ajbmeb-2627	20	10	work	work	NOUN
ajbmeb-2627	20	11	with	with	ADP
ajbmeb-2627	20	12	pleasure	pleasure	NOUN
ajbmeb-2627	20	13	and	and	CCONJ
ajbmeb-2627	20	14	use	use	VERB
ajbmeb-2627	20	15	the	the	DET
ajbmeb-2627	20	16	emergence	emergence	NOUN
ajbmeb-2627	20	17	and	and	CCONJ
ajbmeb-2627	20	18	development	development	NOUN
ajbmeb-2627	20	19	of	of	ADP
ajbmeb-2627	20	20	a	a	DET
ajbmeb-2627	20	21	passion	passion	NOUN
ajbmeb-2627	20	22	for	for	ADP
ajbmeb-2627	20	23	knowledge	knowledge	NOUN
ajbmeb-2627	20	24	as	as	ADP
ajbmeb-2627	20	25	a	a	DET
ajbmeb-2627	20	26	starting	starting	NOUN
ajbmeb-2627	20	27	point	point	NOUN
ajbmeb-2627	20	28	,	,	PUNCT
ajbmeb-2627	20	29	focusing	focus	VERB
ajbmeb-2627	20	30	on	on	ADP
ajbmeb-2627	20	31	deepening	deepen	VERB
ajbmeb-2627	20	32	their	their	PRON
ajbmeb-2627	20	33	interest	interest	NOUN
ajbmeb-2627	20	34	in	in	ADP
ajbmeb-2627	20	35	knowledge	knowledge	NOUN
ajbmeb-2627	20	36	.	.	PUNCT
ajbmeb-2627	21	1	this	this	PRON
ajbmeb-2627	21	2	is	be	AUX
ajbmeb-2627	21	3	especially	especially	ADV
ajbmeb-2627	21	4	important	important	ADJ
ajbmeb-2627	21	5	when	when	SCONJ
ajbmeb-2627	21	6	it	it	PRON
ajbmeb-2627	21	7	is	be	AUX
ajbmeb-2627	21	8	reshaped	reshape	VERB
ajbmeb-2627	21	9	in	in	ADP
ajbmeb-2627	21	10	determining	determine	VERB
ajbmeb-2627	21	11	the	the	DET
ajbmeb-2627	21	12	constant	constant	ADJ
ajbmeb-2627	21	13	interest	interest	NOUN
ajbmeb-2627	21	14	and	and	CCONJ
ajbmeb-2627	21	15	interest	interest	NOUN
ajbmeb-2627	21	16	of	of	ADP
ajbmeb-2627	21	17	adolescents	adolescent	NOUN
ajbmeb-2627	21	18	in	in	ADP
ajbmeb-2627	21	19	this	this	PRON
ajbmeb-2627	21	20	or	or	CCONJ
ajbmeb-2627	21	21	that	that	DET
ajbmeb-2627	21	22	science	science	NOUN
ajbmeb-2627	21	23	.	.	PUNCT
ajbmeb-2627	22	1	at	at	ADP
ajbmeb-2627	22	2	this	this	DET
ajbmeb-2627	22	3	point	point	NOUN
ajbmeb-2627	22	4	,	,	PUNCT
ajbmeb-2627	22	5	math	math	NOUN
ajbmeb-2627	22	6	needs	need	VERB
ajbmeb-2627	22	7	to	to	PART
ajbmeb-2627	22	8	be	be	AUX
ajbmeb-2627	22	9	applied	apply	VERB
ajbmeb-2627	22	10	quickly	quickly	ADV
ajbmeb-2627	22	11	.	.	PUNCT
ajbmeb-2627	23	1	in	in	ADP
ajbmeb-2627	23	2	the	the	DET
ajbmeb-2627	23	3	process	process	NOUN
ajbmeb-2627	23	4	of	of	ADP
ajbmeb-2627	23	5	teaching	teaching	NOUN
ajbmeb-2627	23	6	mathematics	mathematic	NOUN
ajbmeb-2627	23	7	,	,	PUNCT
ajbmeb-2627	23	8	mathematical	mathematical	ADJ
ajbmeb-2627	23	9	proverbs	proverb	NOUN
ajbmeb-2627	23	10	also	also	ADV
ajbmeb-2627	23	11	serve	serve	VERB
ajbmeb-2627	23	12	as	as	ADP
ajbmeb-2627	23	13	a	a	DET
ajbmeb-2627	23	14	factor	factor	NOUN
ajbmeb-2627	23	15	for	for	ADP
ajbmeb-2627	23	16	raising	raise	VERB
ajbmeb-2627	23	17	children	child	NOUN
ajbmeb-2627	23	18	in	in	ADP
ajbmeb-2627	23	19	american	american	ADJ
ajbmeb-2627	23	20	journal	journal	PROPN
ajbmeb-2627	23	21	of	of	ADP
ajbmeb-2627	23	22	business	business	NOUN
ajbmeb-2627	23	23	management	management	NOUN
ajbmeb-2627	23	24	,	,	PUNCT
ajbmeb-2627	23	25	economics	economic	NOUN
ajbmeb-2627	23	26	and	and	CCONJ
ajbmeb-2627	23	27	banking	banking	NOUN
ajbmeb-2627	23	28	volume	volume	NOUN
ajbmeb-2627	23	29	32	32	NUM
ajbmeb-2627	23	30	january	january	PROPN
ajbmeb-2627	23	31	2025	2025	NUM
ajbmeb-2627	23	32	p	p	NOUN
ajbmeb-2627	23	33	a	a	DET
ajbmeb-2627	23	34	g	g	NOUN
ajbmeb-2627	23	35	e	e	NOUN
ajbmeb-2627	23	36	|	|	ADV
ajbmeb-2627	23	37	24	24	NUM
ajbmeb-2627	23	38	www.americanjournal.org	www.americanjournal.org	PROPN
ajbmeb-2627	23	39	the	the	DET
ajbmeb-2627	23	40	spirit	spirit	NOUN
ajbmeb-2627	23	41	of	of	ADP
ajbmeb-2627	23	42	humanity	humanity	NOUN
ajbmeb-2627	23	43	,	,	PUNCT
ajbmeb-2627	23	44	hard	hard	ADJ
ajbmeb-2627	23	45	work	work	NOUN
ajbmeb-2627	23	46	.	.	PUNCT
ajbmeb-2627	24	1	to	to	PART
ajbmeb-2627	24	2	teach	teach	VERB
ajbmeb-2627	24	3	mathematics	mathematic	NOUN
ajbmeb-2627	24	4	to	to	ADP
ajbmeb-2627	24	5	young	young	ADJ
ajbmeb-2627	24	6	people	people	NOUN
ajbmeb-2627	24	7	,	,	PUNCT
ajbmeb-2627	24	8	it	it	PRON
ajbmeb-2627	24	9	is	be	AUX
ajbmeb-2627	24	10	necessary	necessary	ADJ
ajbmeb-2627	24	11	that	that	SCONJ
ajbmeb-2627	24	12	the	the	DET
ajbmeb-2627	24	13	teacher	teacher	NOUN
ajbmeb-2627	24	14	is	be	AUX
ajbmeb-2627	24	15	well	well	ADV
ajbmeb-2627	24	16	versed	versed	ADJ
ajbmeb-2627	24	17	in	in	ADP
ajbmeb-2627	24	18	these	these	DET
ajbmeb-2627	24	19	subjects	subject	NOUN
ajbmeb-2627	24	20	,	,	PUNCT
ajbmeb-2627	24	21	able	able	ADJ
ajbmeb-2627	24	22	to	to	PART
ajbmeb-2627	24	23	skillfully	skillfully	ADV
ajbmeb-2627	24	24	use	use	VERB
ajbmeb-2627	24	25	teaching	teaching	NOUN
ajbmeb-2627	24	26	methods	method	NOUN
ajbmeb-2627	24	27	.	.	PUNCT
ajbmeb-2627	25	1	at	at	ADP
ajbmeb-2627	25	2	the	the	DET
ajbmeb-2627	25	3	same	same	ADJ
ajbmeb-2627	25	4	time	time	NOUN
ajbmeb-2627	25	5	,	,	PUNCT
ajbmeb-2627	25	6	a	a	DET
ajbmeb-2627	25	7	deep	deep	ADJ
ajbmeb-2627	25	8	knowledge	knowledge	NOUN
ajbmeb-2627	25	9	of	of	ADP
ajbmeb-2627	25	10	pedagogy	pedagogy	NOUN
ajbmeb-2627	25	11	,	,	PUNCT
ajbmeb-2627	25	12	psychology	psychology	NOUN
ajbmeb-2627	25	13	and	and	CCONJ
ajbmeb-2627	25	14	other	other	ADJ
ajbmeb-2627	25	15	disciplines	discipline	NOUN
ajbmeb-2627	25	16	is	be	AUX
ajbmeb-2627	25	17	also	also	ADV
ajbmeb-2627	25	18	necessary	necessary	ADJ
ajbmeb-2627	25	19	.	.	PUNCT
ajbmeb-2627	26	1	the	the	DET
ajbmeb-2627	26	2	main	main	ADJ
ajbmeb-2627	26	3	purpose	purpose	NOUN
ajbmeb-2627	26	4	of	of	ADP
ajbmeb-2627	26	5	the	the	DET
ajbmeb-2627	26	6	training	training	NOUN
ajbmeb-2627	26	7	is	be	AUX
ajbmeb-2627	26	8	to	to	PART
ajbmeb-2627	26	9	develop	develop	VERB
ajbmeb-2627	26	10	the	the	DET
ajbmeb-2627	26	11	intellectual	intellectual	ADJ
ajbmeb-2627	26	12	abilities	ability	NOUN
ajbmeb-2627	26	13	of	of	ADP
ajbmeb-2627	26	14	students	student	NOUN
ajbmeb-2627	26	15	,	,	PUNCT
ajbmeb-2627	26	16	independent	independent	ADJ
ajbmeb-2627	26	17	selection	selection	NOUN
ajbmeb-2627	26	18	and	and	CCONJ
ajbmeb-2627	26	19	decision	decision	NOUN
ajbmeb-2627	26	20	-	-	PUNCT
ajbmeb-2627	26	21	making	make	VERB
ajbmeb-2627	26	22	skills	skill	NOUN
ajbmeb-2627	26	23	and	and	CCONJ
ajbmeb-2627	26	24	acquire	acquire	VERB
ajbmeb-2627	26	25	the	the	DET
ajbmeb-2627	26	26	necessary	necessary	ADJ
ajbmeb-2627	26	27	knowledge	knowledge	NOUN
ajbmeb-2627	26	28	.	.	PUNCT
ajbmeb-2627	27	1	this	this	PRON
ajbmeb-2627	27	2	increases	increase	VERB
ajbmeb-2627	27	3	the	the	DET
ajbmeb-2627	27	4	mental	mental	ADJ
ajbmeb-2627	27	5	load	load	NOUN
ajbmeb-2627	27	6	on	on	ADP
ajbmeb-2627	27	7	the	the	DET
ajbmeb-2627	27	8	mathematics	mathematic	NOUN
ajbmeb-2627	27	9	lesson	lesson	NOUN
ajbmeb-2627	27	10	and	and	CCONJ
ajbmeb-2627	27	11	makes	make	VERB
ajbmeb-2627	27	12	the	the	DET
ajbmeb-2627	27	13	student	student	NOUN
ajbmeb-2627	27	14	reflect	reflect	VERB
ajbmeb-2627	27	15	on	on	ADP
ajbmeb-2627	27	16	the	the	DET
ajbmeb-2627	27	17	need	need	NOUN
ajbmeb-2627	27	18	to	to	PART
ajbmeb-2627	27	19	increase	increase	VERB
ajbmeb-2627	27	20	activity	activity	NOUN
ajbmeb-2627	27	21	and	and	CCONJ
ajbmeb-2627	27	22	interest	interest	NOUN
ajbmeb-2627	27	23	in	in	ADP
ajbmeb-2627	27	24	the	the	DET
ajbmeb-2627	27	25	material	material	NOUN
ajbmeb-2627	27	26	during	during	ADP
ajbmeb-2627	27	27	the	the	DET
ajbmeb-2627	27	28	lesson	lesson	NOUN
ajbmeb-2627	27	29	.	.	PUNCT
ajbmeb-2627	28	1	therefore	therefore	ADV
ajbmeb-2627	28	2	,	,	PUNCT
ajbmeb-2627	28	3	new	new	ADJ
ajbmeb-2627	28	4	active	active	ADJ
ajbmeb-2627	28	5	methods	method	NOUN
ajbmeb-2627	28	6	and	and	CCONJ
ajbmeb-2627	28	7	techniques	technique	NOUN
ajbmeb-2627	28	8	of	of	ADP
ajbmeb-2627	28	9	teaching	teaching	NOUN
ajbmeb-2627	28	10	are	be	AUX
ajbmeb-2627	28	11	taught	teach	VERB
ajbmeb-2627	28	12	to	to	PART
ajbmeb-2627	28	13	activate	activate	VERB
ajbmeb-2627	28	14	the	the	DET
ajbmeb-2627	28	15	thinking	thinking	NOUN
ajbmeb-2627	28	16	of	of	ADP
ajbmeb-2627	28	17	students	student	NOUN
ajbmeb-2627	28	18	,	,	PUNCT
ajbmeb-2627	28	19	to	to	PART
ajbmeb-2627	28	20	express	express	VERB
ajbmeb-2627	28	21	their	their	PRON
ajbmeb-2627	28	22	independent	independent	ADJ
ajbmeb-2627	28	23	knowledge	knowledge	NOUN
ajbmeb-2627	28	24	.	.	PUNCT
ajbmeb-2627	29	1	interest	interest	NOUN
ajbmeb-2627	29	2	in	in	ADP
ajbmeb-2627	29	3	mathematics	mathematics	PROPN
ajbmeb-2627	29	4	depends	depend	VERB
ajbmeb-2627	29	5	on	on	ADP
ajbmeb-2627	29	6	the	the	DET
ajbmeb-2627	29	7	quality	quality	NOUN
ajbmeb-2627	29	8	of	of	ADP
ajbmeb-2627	29	9	the	the	DET
ajbmeb-2627	29	10	teaching	teaching	NOUN
ajbmeb-2627	29	11	methodology	methodology	NOUN
ajbmeb-2627	29	12	and	and	CCONJ
ajbmeb-2627	29	13	the	the	DET
ajbmeb-2627	29	14	level	level	NOUN
ajbmeb-2627	29	15	of	of	ADP
ajbmeb-2627	29	16	educational	educational	ADJ
ajbmeb-2627	29	17	activity	activity	NOUN
ajbmeb-2627	29	18	.	.	PUNCT
ajbmeb-2627	30	1	each	each	DET
ajbmeb-2627	30	2	student	student	NOUN
ajbmeb-2627	30	3	should	should	AUX
ajbmeb-2627	30	4	work	work	VERB
ajbmeb-2627	30	5	actively	actively	ADV
ajbmeb-2627	30	6	and	and	CCONJ
ajbmeb-2627	30	7	with	with	ADP
ajbmeb-2627	30	8	pleasure	pleasure	NOUN
ajbmeb-2627	30	9	in	in	ADP
ajbmeb-2627	30	10	the	the	DET
ajbmeb-2627	30	11	lesson	lesson	NOUN
ajbmeb-2627	30	12	,	,	PUNCT
ajbmeb-2627	30	13	use	use	VERB
ajbmeb-2627	30	14	the	the	DET
ajbmeb-2627	30	15	emergence	emergence	NOUN
ajbmeb-2627	30	16	and	and	CCONJ
ajbmeb-2627	30	17	development	development	NOUN
ajbmeb-2627	30	18	of	of	ADP
ajbmeb-2627	30	19	a	a	DET
ajbmeb-2627	30	20	passion	passion	NOUN
ajbmeb-2627	30	21	for	for	ADP
ajbmeb-2627	30	22	knowledge	knowledge	NOUN
ajbmeb-2627	30	23	as	as	ADP
ajbmeb-2627	30	24	a	a	DET
ajbmeb-2627	30	25	starting	starting	NOUN
ajbmeb-2627	30	26	point	point	NOUN
ajbmeb-2627	30	27	,	,	PUNCT
ajbmeb-2627	30	28	focus	focus	VERB
ajbmeb-2627	30	29	on	on	ADP
ajbmeb-2627	30	30	deepening	deepen	VERB
ajbmeb-2627	30	31	interest	interest	NOUN
ajbmeb-2627	30	32	in	in	ADP
ajbmeb-2627	30	33	learning	learn	VERB
ajbmeb-2627	30	34	.	.	PUNCT
ajbmeb-2627	31	1	geometry	geometry	NOUN
ajbmeb-2627	31	2	,	,	PUNCT
ajbmeb-2627	31	3	as	as	ADP
ajbmeb-2627	31	4	a	a	DET
ajbmeb-2627	31	5	branch	branch	NOUN
ajbmeb-2627	31	6	of	of	ADP
ajbmeb-2627	31	7	mathematics	mathematic	NOUN
ajbmeb-2627	31	8	,	,	PUNCT
ajbmeb-2627	31	9	plays	play	VERB
ajbmeb-2627	31	10	a	a	DET
ajbmeb-2627	31	11	decisive	decisive	ADJ
ajbmeb-2627	31	12	role	role	NOUN
ajbmeb-2627	31	13	in	in	ADP
ajbmeb-2627	31	14	the	the	DET
ajbmeb-2627	31	15	school	school	NOUN
ajbmeb-2627	31	16	curriculum	curriculum	NOUN
ajbmeb-2627	31	17	by	by	ADP
ajbmeb-2627	31	18	giving	give	VERB
ajbmeb-2627	31	19	students	student	NOUN
ajbmeb-2627	31	20	the	the	DET
ajbmeb-2627	31	21	opportunity	opportunity	NOUN
ajbmeb-2627	31	22	to	to	PART
ajbmeb-2627	31	23	study	study	VERB
ajbmeb-2627	31	24	the	the	DET
ajbmeb-2627	31	25	features	feature	NOUN
ajbmeb-2627	31	26	of	of	ADP
ajbmeb-2627	31	27	shapes	shape	NOUN
ajbmeb-2627	31	28	,	,	PUNCT
ajbmeb-2627	31	29	angles	angle	NOUN
ajbmeb-2627	31	30	and	and	CCONJ
ajbmeb-2627	31	31	spatial	spatial	ADJ
ajbmeb-2627	31	32	relationships	relationship	NOUN
ajbmeb-2627	31	33	.	.	PUNCT
ajbmeb-2627	32	1	teaching	teach	VERB
ajbmeb-2627	32	2	geometry	geometry	NOUN
ajbmeb-2627	32	3	in	in	ADP
ajbmeb-2627	32	4	a	a	DET
ajbmeb-2627	32	5	school	school	NOUN
ajbmeb-2627	32	6	mathematics	mathematics	NOUN
ajbmeb-2627	32	7	course	course	NOUN
ajbmeb-2627	32	8	is	be	AUX
ajbmeb-2627	32	9	necessary	necessary	ADJ
ajbmeb-2627	32	10	for	for	ADP
ajbmeb-2627	32	11	the	the	DET
ajbmeb-2627	32	12	development	development	NOUN
ajbmeb-2627	32	13	of	of	ADP
ajbmeb-2627	32	14	students	student	NOUN
ajbmeb-2627	32	15	'	'	PART
ajbmeb-2627	32	16	abilities	ability	NOUN
ajbmeb-2627	32	17	in	in	ADP
ajbmeb-2627	32	18	spatial	spatial	ADJ
ajbmeb-2627	32	19	thinking	thinking	NOUN
ajbmeb-2627	32	20	,	,	PUNCT
ajbmeb-2627	32	21	problem	problem	NOUN
ajbmeb-2627	32	22	solving	solving	NOUN
ajbmeb-2627	32	23	and	and	CCONJ
ajbmeb-2627	32	24	logical	logical	ADJ
ajbmeb-2627	32	25	thinking	thinking	NOUN
ajbmeb-2627	32	26	.	.	PUNCT
ajbmeb-2627	33	1	geometry	geometry	NOUN
ajbmeb-2627	33	2	does	do	AUX
ajbmeb-2627	33	3	not	not	PART
ajbmeb-2627	33	4	consist	consist	VERB
ajbmeb-2627	33	5	only	only	ADV
ajbmeb-2627	33	6	in	in	ADP
ajbmeb-2627	33	7	memorizing	memorize	VERB
ajbmeb-2627	33	8	formulas	formula	NOUN
ajbmeb-2627	33	9	and	and	CCONJ
ajbmeb-2627	33	10	theorems	theorem	NOUN
ajbmeb-2627	33	11	;	;	PUNCT
ajbmeb-2627	33	12	it	it	PRON
ajbmeb-2627	33	13	consists	consist	VERB
ajbmeb-2627	33	14	in	in	ADP
ajbmeb-2627	33	15	understanding	understand	VERB
ajbmeb-2627	33	16	the	the	DET
ajbmeb-2627	33	17	basic	basic	ADJ
ajbmeb-2627	33	18	principles	principle	NOUN
ajbmeb-2627	33	19	governing	govern	VERB
ajbmeb-2627	33	20	relationships	relationship	NOUN
ajbmeb-2627	33	21	between	between	ADP
ajbmeb-2627	33	22	geometric	geometric	ADJ
ajbmeb-2627	33	23	bodies	body	NOUN
ajbmeb-2627	33	24	.	.	PUNCT
ajbmeb-2627	34	1	through	through	ADP
ajbmeb-2627	34	2	the	the	DET
ajbmeb-2627	34	3	use	use	NOUN
ajbmeb-2627	34	4	of	of	ADP
ajbmeb-2627	34	5	innovative	innovative	ADJ
ajbmeb-2627	34	6	teaching	teaching	NOUN
ajbmeb-2627	34	7	techniques	technique	NOUN
ajbmeb-2627	34	8	and	and	CCONJ
ajbmeb-2627	34	9	approaches	approach	NOUN
ajbmeb-2627	34	10	,	,	PUNCT
ajbmeb-2627	34	11	teachers	teacher	NOUN
ajbmeb-2627	34	12	can	can	AUX
ajbmeb-2627	34	13	create	create	VERB
ajbmeb-2627	34	14	a	a	DET
ajbmeb-2627	34	15	dynamic	dynamic	ADJ
ajbmeb-2627	34	16	educational	educational	ADJ
ajbmeb-2627	34	17	environment	environment	NOUN
ajbmeb-2627	34	18	that	that	PRON
ajbmeb-2627	34	19	allows	allow	VERB
ajbmeb-2627	34	20	students	student	NOUN
ajbmeb-2627	34	21	to	to	PART
ajbmeb-2627	34	22	learn	learn	VERB
ajbmeb-2627	34	23	geometric	geometric	ADJ
ajbmeb-2627	34	24	concepts	concept	NOUN
ajbmeb-2627	34	25	in	in	ADP
ajbmeb-2627	34	26	a	a	DET
ajbmeb-2627	34	27	meaningful	meaningful	ADJ
ajbmeb-2627	34	28	and	and	CCONJ
ajbmeb-2627	34	29	interactive	interactive	ADJ
ajbmeb-2627	34	30	way	way	NOUN
ajbmeb-2627	34	31	.	.	PUNCT
ajbmeb-2627	35	1	by	by	ADP
ajbmeb-2627	35	2	incorporating	incorporate	VERB
ajbmeb-2627	35	3	these	these	DET
ajbmeb-2627	35	4	methodologies	methodology	NOUN
ajbmeb-2627	35	5	into	into	ADP
ajbmeb-2627	35	6	geometry	geometry	NOUN
ajbmeb-2627	35	7	teaching	teaching	NOUN
ajbmeb-2627	35	8	,	,	PUNCT
ajbmeb-2627	35	9	teachers	teacher	NOUN
ajbmeb-2627	35	10	can	can	AUX
ajbmeb-2627	35	11	inspire	inspire	VERB
ajbmeb-2627	35	12	students	student	NOUN
ajbmeb-2627	35	13	to	to	PART
ajbmeb-2627	35	14	gain	gain	VERB
ajbmeb-2627	35	15	a	a	DET
ajbmeb-2627	35	16	deeper	deep	ADJ
ajbmeb-2627	35	17	understanding	understanding	NOUN
ajbmeb-2627	35	18	of	of	ADP
ajbmeb-2627	35	19	the	the	DET
ajbmeb-2627	35	20	beauty	beauty	NOUN
ajbmeb-2627	35	21	and	and	CCONJ
ajbmeb-2627	35	22	logic	logic	NOUN
ajbmeb-2627	35	23	of	of	ADP
ajbmeb-2627	35	24	geometry	geometry	NOUN
ajbmeb-2627	35	25	and	and	CCONJ
ajbmeb-2627	35	26	equip	equip	VERB
ajbmeb-2627	35	27	them	they	PRON
ajbmeb-2627	35	28	with	with	ADP
ajbmeb-2627	35	29	important	important	ADJ
ajbmeb-2627	35	30	mathematical	mathematical	ADJ
ajbmeb-2627	35	31	skills	skill	NOUN
ajbmeb-2627	35	32	that	that	PRON
ajbmeb-2627	35	33	can	can	AUX
ajbmeb-2627	35	34	be	be	AUX
ajbmeb-2627	35	35	applied	apply	VERB
ajbmeb-2627	35	36	outside	outside	ADP
ajbmeb-2627	35	37	the	the	DET
ajbmeb-2627	35	38	classroom	classroom	NOUN
ajbmeb-2627	35	39	.	.	PUNCT
ajbmeb-2627	36	1	geometry	geometry	NOUN
ajbmeb-2627	36	2	provides	provide	VERB
ajbmeb-2627	36	3	students	student	NOUN
ajbmeb-2627	36	4	with	with	ADP
ajbmeb-2627	36	5	a	a	DET
ajbmeb-2627	36	6	unique	unique	ADJ
ajbmeb-2627	36	7	opportunity	opportunity	NOUN
ajbmeb-2627	36	8	to	to	PART
ajbmeb-2627	36	9	solve	solve	VERB
ajbmeb-2627	36	10	creative	creative	ADJ
ajbmeb-2627	36	11	problems	problem	NOUN
ajbmeb-2627	36	12	,	,	PUNCT
ajbmeb-2627	36	13	engage	engage	VERB
ajbmeb-2627	36	14	in	in	ADP
ajbmeb-2627	36	15	critical	critical	ADJ
ajbmeb-2627	36	16	thinking	thinking	NOUN
ajbmeb-2627	36	17	and	and	CCONJ
ajbmeb-2627	36	18	spatial	spatial	ADJ
ajbmeb-2627	36	19	thinking	thinking	NOUN
ajbmeb-2627	36	20	,	,	PUNCT
ajbmeb-2627	36	21	laying	lay	VERB
ajbmeb-2627	36	22	the	the	DET
ajbmeb-2627	36	23	foundation	foundation	NOUN
ajbmeb-2627	36	24	for	for	ADP
ajbmeb-2627	36	25	their	their	PRON
ajbmeb-2627	36	26	mathematical	mathematical	ADJ
ajbmeb-2627	36	27	journey	journey	NOUN
ajbmeb-2627	36	28	and	and	CCONJ
ajbmeb-2627	36	29	instilling	instill	VERB
ajbmeb-2627	36	30	a	a	DET
ajbmeb-2627	36	31	lifelong	lifelong	ADJ
ajbmeb-2627	36	32	love	love	NOUN
ajbmeb-2627	36	33	of	of	ADP
ajbmeb-2627	36	34	learning	learn	VERB
ajbmeb-2627	36	35	.	.	PUNCT
ajbmeb-2627	37	1	let	let	VERB
ajbmeb-2627	37	2	's	us	PRON
ajbmeb-2627	37	3	take	take	VERB
ajbmeb-2627	37	4	a	a	DET
ajbmeb-2627	37	5	look	look	NOUN
ajbmeb-2627	37	6	at	at	ADP
ajbmeb-2627	37	7	the	the	DET
ajbmeb-2627	37	8	methodology	methodology	NOUN
ajbmeb-2627	37	9	for	for	ADP
ajbmeb-2627	37	10	teaching	teaching	NOUN
ajbmeb-2627	37	11	geometry	geometry	NOUN
ajbmeb-2627	37	12	and	and	CCONJ
ajbmeb-2627	37	13	find	find	VERB
ajbmeb-2627	37	14	out	out	ADP
ajbmeb-2627	37	15	how	how	SCONJ
ajbmeb-2627	37	16	these	these	DET
ajbmeb-2627	37	17	strategies	strategy	NOUN
ajbmeb-2627	37	18	can	can	AUX
ajbmeb-2627	37	19	change	change	VERB
ajbmeb-2627	37	20	the	the	DET
ajbmeb-2627	37	21	perception	perception	NOUN
ajbmeb-2627	37	22	and	and	CCONJ
ajbmeb-2627	37	23	interaction	interaction	NOUN
ajbmeb-2627	37	24	of	of	ADP
ajbmeb-2627	37	25	students	student	NOUN
ajbmeb-2627	37	26	with	with	ADP
ajbmeb-2627	37	27	the	the	DET
ajbmeb-2627	37	28	world	world	NOUN
ajbmeb-2627	37	29	of	of	ADP
ajbmeb-2627	37	30	geometry.teaching	geometry.teache	VERB
ajbmeb-2627	37	31	geometry	geometry	NOUN
ajbmeb-2627	37	32	in	in	ADP
ajbmeb-2627	37	33	the	the	DET
ajbmeb-2627	37	34	school	school	NOUN
ajbmeb-2627	37	35	mathematics	mathematic	NOUN
ajbmeb-2627	37	36	curriculum	curriculum	NOUN
ajbmeb-2627	37	37	is	be	AUX
ajbmeb-2627	37	38	a	a	DET
ajbmeb-2627	37	39	key	key	ADJ
ajbmeb-2627	37	40	aspect	aspect	NOUN
ajbmeb-2627	37	41	of	of	ADP
ajbmeb-2627	37	42	students	student	NOUN
ajbmeb-2627	37	43	'	'	PART
ajbmeb-2627	37	44	development	development	NOUN
ajbmeb-2627	37	45	of	of	ADP
ajbmeb-2627	37	46	spatial	spatial	ADJ
ajbmeb-2627	37	47	thinking	thinking	NOUN
ajbmeb-2627	37	48	,	,	PUNCT
ajbmeb-2627	37	49	problem	problem	NOUN
ajbmeb-2627	37	50	solving	solving	NOUN
ajbmeb-2627	37	51	,	,	PUNCT
ajbmeb-2627	37	52	and	and	CCONJ
ajbmeb-2627	37	53	logical	logical	ADJ
ajbmeb-2627	37	54	thinking	thinking	NOUN
ajbmeb-2627	37	55	skills	skill	NOUN
ajbmeb-2627	37	56	.	.	PUNCT
ajbmeb-2627	38	1	geometry	geometry	NOUN
ajbmeb-2627	38	2	,	,	PUNCT
ajbmeb-2627	38	3	as	as	ADP
ajbmeb-2627	38	4	a	a	DET
ajbmeb-2627	38	5	branch	branch	NOUN
ajbmeb-2627	38	6	of	of	ADP
ajbmeb-2627	38	7	mathematics	mathematic	NOUN
ajbmeb-2627	38	8	,	,	PUNCT
ajbmeb-2627	38	9	provides	provide	VERB
ajbmeb-2627	38	10	students	student	NOUN
ajbmeb-2627	38	11	with	with	ADP
ajbmeb-2627	38	12	a	a	DET
ajbmeb-2627	38	13	unique	unique	ADJ
ajbmeb-2627	38	14	opportunity	opportunity	NOUN
ajbmeb-2627	38	15	to	to	PART
ajbmeb-2627	38	16	study	study	VERB
ajbmeb-2627	38	17	the	the	DET
ajbmeb-2627	38	18	properties	property	NOUN
ajbmeb-2627	38	19	of	of	ADP
ajbmeb-2627	38	20	shapes	shape	NOUN
ajbmeb-2627	38	21	,	,	PUNCT
ajbmeb-2627	38	22	angles	angle	NOUN
ajbmeb-2627	38	23	and	and	CCONJ
ajbmeb-2627	38	24	spatial	spatial	ADJ
ajbmeb-2627	38	25	relationships	relationship	NOUN
ajbmeb-2627	38	26	,	,	PUNCT
ajbmeb-2627	38	27	helping	help	VERB
ajbmeb-2627	38	28	them	they	PRON
ajbmeb-2627	38	29	to	to	PART
ajbmeb-2627	38	30	understand	understand	VERB
ajbmeb-2627	38	31	the	the	DET
ajbmeb-2627	38	32	world	world	NOUN
ajbmeb-2627	38	33	around	around	ADP
ajbmeb-2627	38	34	them	they	PRON
ajbmeb-2627	38	35	more	more	ADV
ajbmeb-2627	38	36	deeply	deeply	ADV
ajbmeb-2627	38	37	.	.	PUNCT
ajbmeb-2627	39	1	one	one	NUM
ajbmeb-2627	39	2	of	of	ADP
ajbmeb-2627	39	3	the	the	DET
ajbmeb-2627	39	4	most	most	ADV
ajbmeb-2627	39	5	effective	effective	ADJ
ajbmeb-2627	39	6	methods	method	NOUN
ajbmeb-2627	39	7	of	of	ADP
ajbmeb-2627	39	8	teaching	teaching	NOUN
ajbmeb-2627	39	9	geometry	geometry	NOUN
ajbmeb-2627	39	10	is	be	AUX
ajbmeb-2627	39	11	practical	practical	ADJ
ajbmeb-2627	39	12	training	training	NOUN
ajbmeb-2627	39	13	and	and	CCONJ
ajbmeb-2627	39	14	manipulations	manipulation	NOUN
ajbmeb-2627	39	15	.	.	PUNCT
ajbmeb-2627	40	1	providing	provide	VERB
ajbmeb-2627	40	2	students	student	NOUN
ajbmeb-2627	40	3	with	with	ADP
ajbmeb-2627	40	4	geometric	geometric	ADJ
ajbmeb-2627	40	5	tools	tool	NOUN
ajbmeb-2627	40	6	such	such	ADJ
ajbmeb-2627	40	7	as	as	ADP
ajbmeb-2627	40	8	pliers	plier	NOUN
ajbmeb-2627	40	9	,	,	PUNCT
ajbmeb-2627	40	10	transporters	transporter	NOUN
ajbmeb-2627	40	11	,	,	PUNCT
ajbmeb-2627	40	12	circulars	circular	NOUN
ajbmeb-2627	40	13	,	,	PUNCT
ajbmeb-2627	40	14	geometric	geometric	ADJ
ajbmeb-2627	40	15	bodies	body	NOUN
ajbmeb-2627	40	16	allows	allow	VERB
ajbmeb-2627	40	17	them	they	PRON
ajbmeb-2627	40	18	to	to	PART
ajbmeb-2627	40	19	explore	explore	VERB
ajbmeb-2627	40	20	geometric	geometric	ADJ
ajbmeb-2627	40	21	concepts	concept	NOUN
ajbmeb-2627	40	22	in	in	ADP
ajbmeb-2627	40	23	a	a	DET
ajbmeb-2627	40	24	clear	clear	ADJ
ajbmeb-2627	40	25	and	and	CCONJ
ajbmeb-2627	40	26	interactive	interactive	ADJ
ajbmeb-2627	40	27	way	way	NOUN
ajbmeb-2627	40	28	.	.	PUNCT
ajbmeb-2627	41	1	activities	activity	NOUN
ajbmeb-2627	41	2	such	such	ADJ
ajbmeb-2627	41	3	as	as	ADP
ajbmeb-2627	41	4	building	build	VERB
ajbmeb-2627	41	5	shapes	shape	NOUN
ajbmeb-2627	41	6	,	,	PUNCT
ajbmeb-2627	41	7	measuring	measure	VERB
ajbmeb-2627	41	8	angles	angle	NOUN
ajbmeb-2627	41	9	,	,	PUNCT
ajbmeb-2627	41	10	and	and	CCONJ
ajbmeb-2627	41	11	studying	study	VERB
ajbmeb-2627	41	12	symmetry	symmetry	NOUN
ajbmeb-2627	41	13	can	can	AUX
ajbmeb-2627	41	14	help	help	VERB
ajbmeb-2627	41	15	students	student	NOUN
ajbmeb-2627	41	16	understand	understand	VERB
ajbmeb-2627	41	17	geometric	geometric	ADJ
ajbmeb-2627	41	18	principles	principle	NOUN
ajbmeb-2627	41	19	clearly	clearly	ADV
ajbmeb-2627	41	20	.	.	PUNCT
ajbmeb-2627	42	1	geometry	geometry	NOUN
ajbmeb-2627	42	2	is	be	AUX
ajbmeb-2627	42	3	a	a	DET
ajbmeb-2627	42	4	visual	visual	ADJ
ajbmeb-2627	42	5	subject	subject	NOUN
ajbmeb-2627	42	6	,	,	PUNCT
ajbmeb-2627	42	7	and	and	CCONJ
ajbmeb-2627	42	8	the	the	DET
ajbmeb-2627	42	9	use	use	NOUN
ajbmeb-2627	42	10	of	of	ADP
ajbmeb-2627	42	11	visual	visual	ADJ
ajbmeb-2627	42	12	images	image	NOUN
ajbmeb-2627	42	13	is	be	AUX
ajbmeb-2627	42	14	the	the	DET
ajbmeb-2627	42	15	key	key	NOUN
ajbmeb-2627	42	16	to	to	ADP
ajbmeb-2627	42	17	helping	help	VERB
ajbmeb-2627	42	18	students	student	NOUN
ajbmeb-2627	42	19	understand	understand	VERB
ajbmeb-2627	42	20	abstract	abstract	ADJ
ajbmeb-2627	42	21	geometric	geometric	ADJ
ajbmeb-2627	42	22	concepts	concept	NOUN
ajbmeb-2627	42	23	.	.	PUNCT
ajbmeb-2627	43	1	teachers	teacher	NOUN
ajbmeb-2627	43	2	can	can	AUX
ajbmeb-2627	43	3	use	use	VERB
ajbmeb-2627	43	4	diagrams	diagram	NOUN
ajbmeb-2627	43	5	,	,	PUNCT
ajbmeb-2627	43	6	tables	table	NOUN
ajbmeb-2627	43	7	,	,	PUNCT
ajbmeb-2627	43	8	and	and	CCONJ
ajbmeb-2627	43	9	geometric	geometric	ADJ
ajbmeb-2627	43	10	pictures	picture	NOUN
ajbmeb-2627	43	11	to	to	PART
ajbmeb-2627	43	12	describe	describe	VERB
ajbmeb-2627	43	13	geometric	geometric	ADJ
ajbmeb-2627	43	14	properties	property	NOUN
ajbmeb-2627	43	15	and	and	CCONJ
ajbmeb-2627	43	16	relationships	relationship	NOUN
ajbmeb-2627	43	17	.	.	PUNCT
ajbmeb-2627	44	1	visual	visual	ADJ
ajbmeb-2627	44	2	aids	aids	PROPN
ajbmeb-2627	44	3	help	help	VERB
ajbmeb-2627	44	4	students	student	NOUN
ajbmeb-2627	44	5	visualize	visualize	VERB
ajbmeb-2627	44	6	geometric	geometric	ADJ
ajbmeb-2627	44	7	concepts	concept	NOUN
ajbmeb-2627	44	8	,	,	PUNCT
ajbmeb-2627	44	9	making	make	VERB
ajbmeb-2627	44	10	them	they	PRON
ajbmeb-2627	44	11	more	more	ADV
ajbmeb-2627	44	12	accessible	accessible	ADJ
ajbmeb-2627	44	13	and	and	CCONJ
ajbmeb-2627	44	14	understandable	understandable	ADJ
ajbmeb-2627	44	15	.	.	PUNCT
ajbmeb-2627	45	1	geometry	geometry	NOUN
ajbmeb-2627	45	2	helps	help	VERB
ajbmeb-2627	45	3	well	well	ADV
ajbmeb-2627	45	4	in	in	ADP
ajbmeb-2627	45	5	solving	solve	VERB
ajbmeb-2627	45	6	problems	problem	NOUN
ajbmeb-2627	45	7	because	because	SCONJ
ajbmeb-2627	45	8	students	student	NOUN
ajbmeb-2627	45	9	are	be	AUX
ajbmeb-2627	45	10	presented	present	VERB
ajbmeb-2627	45	11	with	with	ADP
ajbmeb-2627	45	12	geometric	geometric	ADJ
ajbmeb-2627	45	13	issues	issue	NOUN
ajbmeb-2627	45	14	that	that	PRON
ajbmeb-2627	45	15	require	require	VERB
ajbmeb-2627	45	16	critical	critical	ADJ
ajbmeb-2627	45	17	thinking	thinking	NOUN
ajbmeb-2627	45	18	and	and	CCONJ
ajbmeb-2627	45	19	logical	logical	ADJ
ajbmeb-2627	45	20	reasoning	reasoning	NOUN
ajbmeb-2627	45	21	to	to	PART
ajbmeb-2627	45	22	solve	solve	VERB
ajbmeb-2627	45	23	.	.	PUNCT
ajbmeb-2627	46	1	encouraging	encourage	VERB
ajbmeb-2627	46	2	students	student	NOUN
ajbmeb-2627	46	3	to	to	PART
ajbmeb-2627	46	4	take	take	VERB
ajbmeb-2627	46	5	a	a	DET
ajbmeb-2627	46	6	systematic	systematic	ADJ
ajbmeb-2627	46	7	approach	approach	NOUN
ajbmeb-2627	46	8	to	to	ADP
ajbmeb-2627	46	9	geometric	geometric	ADJ
ajbmeb-2627	46	10	issues	issue	NOUN
ajbmeb-2627	46	11	,	,	PUNCT
ajbmeb-2627	46	12	identify	identify	VERB
ajbmeb-2627	46	13	patterns	pattern	NOUN
ajbmeb-2627	46	14	,	,	PUNCT
ajbmeb-2627	46	15	and	and	CCONJ
ajbmeb-2627	46	16	apply	apply	VERB
ajbmeb-2627	46	17	geometric	geometric	ADJ
ajbmeb-2627	46	18	principles	principle	NOUN
ajbmeb-2627	46	19	in	in	ADP
ajbmeb-2627	46	20	finding	find	VERB
ajbmeb-2627	46	21	solutions	solution	NOUN
ajbmeb-2627	46	22	can	can	AUX
ajbmeb-2627	46	23	help	help	VERB
ajbmeb-2627	46	24	develop	develop	VERB
ajbmeb-2627	46	25	their	their	PRON
ajbmeb-2627	46	26	problem	problem	NOUN
ajbmeb-2627	46	27	solving	solving	NOUN
ajbmeb-2627	46	28	skills	skill	NOUN
ajbmeb-2627	46	29	and	and	CCONJ
ajbmeb-2627	46	30	mathematical	mathematical	ADJ
ajbmeb-2627	46	31	thinking	thinking	NOUN
ajbmeb-2627	46	32	.	.	PUNCT
ajbmeb-2627	47	1	linking	link	VERB
ajbmeb-2627	47	2	geometric	geometric	ADJ
ajbmeb-2627	47	3	concepts	concept	NOUN
ajbmeb-2627	47	4	with	with	ADP
ajbmeb-2627	47	5	real	real	ADJ
ajbmeb-2627	47	6	-	-	PUNCT
ajbmeb-2627	47	7	world	world	NOUN
ajbmeb-2627	47	8	applications	application	NOUN
ajbmeb-2627	47	9	can	can	AUX
ajbmeb-2627	47	10	help	help	VERB
ajbmeb-2627	47	11	readers	reader	NOUN
ajbmeb-2627	47	12	see	see	VERB
ajbmeb-2627	47	13	the	the	DET
ajbmeb-2627	47	14	importance	importance	NOUN
ajbmeb-2627	47	15	of	of	ADP
ajbmeb-2627	47	16	geometry	geometry	NOUN
ajbmeb-2627	47	17	in	in	ADP
ajbmeb-2627	47	18	everyday	everyday	ADJ
ajbmeb-2627	47	19	life	life	NOUN
ajbmeb-2627	47	20	.	.	PUNCT
ajbmeb-2627	48	1	teachers	teacher	NOUN
ajbmeb-2627	48	2	can	can	AUX
ajbmeb-2627	48	3	include	include	VERB
ajbmeb-2627	48	4	examples	example	NOUN
ajbmeb-2627	48	5	of	of	ADP
ajbmeb-2627	48	6	geometric	geometric	ADJ
ajbmeb-2627	48	7	shapes	shape	NOUN
ajbmeb-2627	48	8	and	and	CCONJ
ajbmeb-2627	48	9	features	feature	NOUN
ajbmeb-2627	48	10	found	find	VERB
ajbmeb-2627	48	11	in	in	ADP
ajbmeb-2627	48	12	architecture	architecture	NOUN
ajbmeb-2627	48	13	,	,	PUNCT
ajbmeb-2627	48	14	art	art	NOUN
ajbmeb-2627	48	15	,	,	PUNCT
ajbmeb-2627	48	16	nature	nature	NOUN
ajbmeb-2627	48	17	,	,	PUNCT
ajbmeb-2627	48	18	and	and	CCONJ
ajbmeb-2627	48	19	technology	technology	NOUN
ajbmeb-2627	48	20	to	to	PART
ajbmeb-2627	48	21	show	show	VERB
ajbmeb-2627	48	22	the	the	DET
ajbmeb-2627	48	23	practical	practical	ADJ
ajbmeb-2627	48	24	importance	importance	NOUN
ajbmeb-2627	48	25	of	of	ADP
ajbmeb-2627	48	26	geometry	geometry	NOUN
ajbmeb-2627	48	27	.	.	PUNCT
ajbmeb-2627	49	1	this	this	DET
ajbmeb-2627	49	2	contextualization	contextualization	NOUN
ajbmeb-2627	49	3	helps	help	VERB
ajbmeb-2627	49	4	students	student	NOUN
ajbmeb-2627	49	5	assess	assess	VERB
ajbmeb-2627	49	6	the	the	DET
ajbmeb-2627	49	7	american	american	ADJ
ajbmeb-2627	49	8	journal	journal	PROPN
ajbmeb-2627	49	9	of	of	ADP
ajbmeb-2627	49	10	business	business	NOUN
ajbmeb-2627	49	11	management	management	NOUN
ajbmeb-2627	49	12	,	,	PUNCT
ajbmeb-2627	49	13	economics	economic	NOUN
ajbmeb-2627	49	14	and	and	CCONJ
ajbmeb-2627	49	15	banking	banking	NOUN
ajbmeb-2627	49	16	volume	volume	NOUN
ajbmeb-2627	49	17	32	32	NUM
ajbmeb-2627	49	18	january	january	PROPN
ajbmeb-2627	49	19	2025	2025	NUM
ajbmeb-2627	49	20	p	p	NOUN
ajbmeb-2627	49	21	a	a	DET
ajbmeb-2627	49	22	g	g	NOUN
ajbmeb-2627	49	23	e	e	NOUN
ajbmeb-2627	50	1	|	|	NOUN
ajbmeb-2627	50	2	25	25	NUM
ajbmeb-2627	50	3	www.americanjournal.org	www.americanjournal.org	NOUN
ajbmeb-2627	50	4	usefulness	usefulness	NOUN
ajbmeb-2627	50	5	of	of	ADP
ajbmeb-2627	50	6	extracurricular	extracurricular	ADJ
ajbmeb-2627	50	7	geometry	geometry	NOUN
ajbmeb-2627	50	8	.	.	PUNCT
ajbmeb-2627	51	1	integrating	integrate	VERB
ajbmeb-2627	51	2	technology	technology	NOUN
ajbmeb-2627	51	3	tools	tool	NOUN
ajbmeb-2627	51	4	such	such	ADJ
ajbmeb-2627	51	5	as	as	ADP
ajbmeb-2627	51	6	interactive	interactive	ADJ
ajbmeb-2627	51	7	geometry	geometry	NOUN
ajbmeb-2627	51	8	programs	program	NOUN
ajbmeb-2627	51	9	and	and	CCONJ
ajbmeb-2627	51	10	online	online	ADJ
ajbmeb-2627	51	11	resources	resource	NOUN
ajbmeb-2627	51	12	can	can	AUX
ajbmeb-2627	51	13	enhance	enhance	VERB
ajbmeb-2627	51	14	the	the	DET
ajbmeb-2627	51	15	learning	learning	NOUN
ajbmeb-2627	51	16	experience	experience	NOUN
ajbmeb-2627	51	17	for	for	ADP
ajbmeb-2627	51	18	students	student	NOUN
ajbmeb-2627	51	19	.	.	PUNCT
ajbmeb-2627	52	1	virtual	virtual	ADJ
ajbmeb-2627	52	2	manipulators	manipulator	NOUN
ajbmeb-2627	52	3	,	,	PUNCT
ajbmeb-2627	52	4	interactive	interactive	ADJ
ajbmeb-2627	52	5	simulations	simulation	NOUN
ajbmeb-2627	52	6	and	and	CCONJ
ajbmeb-2627	52	7	geometry	geometry	NOUN
ajbmeb-2627	52	8	applications	application	NOUN
ajbmeb-2627	52	9	give	give	VERB
ajbmeb-2627	52	10	students	student	NOUN
ajbmeb-2627	52	11	the	the	DET
ajbmeb-2627	52	12	opportunity	opportunity	NOUN
ajbmeb-2627	52	13	to	to	PART
ajbmeb-2627	52	14	explore	explore	VERB
ajbmeb-2627	52	15	geometric	geometric	ADJ
ajbmeb-2627	52	16	concepts	concept	NOUN
ajbmeb-2627	52	17	in	in	ADP
ajbmeb-2627	52	18	a	a	DET
ajbmeb-2627	52	19	dynamic	dynamic	ADJ
ajbmeb-2627	52	20	and	and	CCONJ
ajbmeb-2627	52	21	interesting	interesting	ADJ
ajbmeb-2627	52	22	way	way	NOUN
ajbmeb-2627	52	23	.	.	PUNCT
ajbmeb-2627	53	1	technology	technology	NOUN
ajbmeb-2627	53	2	can	can	AUX
ajbmeb-2627	53	3	facilitate	facilitate	VERB
ajbmeb-2627	53	4	visualization	visualization	NOUN
ajbmeb-2627	53	5	,	,	PUNCT
ajbmeb-2627	53	6	experimentation	experimentation	NOUN
ajbmeb-2627	53	7	,	,	PUNCT
ajbmeb-2627	53	8	and	and	CCONJ
ajbmeb-2627	53	9	the	the	DET
ajbmeb-2627	53	10	study	study	NOUN
ajbmeb-2627	53	11	of	of	ADP
ajbmeb-2627	53	12	geometric	geometric	ADJ
ajbmeb-2627	53	13	ideas	idea	NOUN
ajbmeb-2627	53	14	.	.	PUNCT
ajbmeb-2627	54	1	encouraging	encourage	VERB
ajbmeb-2627	54	2	collaborative	collaborative	ADJ
ajbmeb-2627	54	3	learning	learning	NOUN
ajbmeb-2627	54	4	activities	activity	NOUN
ajbmeb-2627	54	5	such	such	ADJ
ajbmeb-2627	54	6	as	as	ADP
ajbmeb-2627	54	7	group	group	NOUN
ajbmeb-2627	54	8	projects	project	NOUN
ajbmeb-2627	54	9	,	,	PUNCT
ajbmeb-2627	54	10	peer	peer	NOUN
ajbmeb-2627	54	11	-	-	PUNCT
ajbmeb-2627	54	12	to	to	ADP
ajbmeb-2627	54	13	-	-	PUNCT
ajbmeb-2627	54	14	peer	peer	NOUN
ajbmeb-2627	54	15	discussions	discussion	NOUN
ajbmeb-2627	54	16	,	,	PUNCT
ajbmeb-2627	54	17	and	and	CCONJ
ajbmeb-2627	54	18	problem	problem	NOUN
ajbmeb-2627	54	19	-	-	PUNCT
ajbmeb-2627	54	20	solving	solve	VERB
ajbmeb-2627	54	21	tasks	task	NOUN
ajbmeb-2627	54	22	creates	create	VERB
ajbmeb-2627	54	23	a	a	DET
ajbmeb-2627	54	24	supportive	supportive	ADJ
ajbmeb-2627	54	25	learning	learning	NOUN
ajbmeb-2627	54	26	environment	environment	NOUN
ajbmeb-2627	54	27	where	where	SCONJ
ajbmeb-2627	54	28	students	student	NOUN
ajbmeb-2627	54	29	can	can	AUX
ajbmeb-2627	54	30	engage	engage	VERB
ajbmeb-2627	54	31	in	in	ADP
ajbmeb-2627	54	32	geometry	geometry	NOUN
ajbmeb-2627	54	33	together	together	ADV
ajbmeb-2627	54	34	.	.	PUNCT
ajbmeb-2627	55	1	collaborative	collaborative	ADJ
ajbmeb-2627	55	2	learning	learning	NOUN
ajbmeb-2627	55	3	helps	help	VERB
ajbmeb-2627	55	4	with	with	ADP
ajbmeb-2627	55	5	communication	communication	NOUN
ajbmeb-2627	55	6	,	,	PUNCT
ajbmeb-2627	55	7	teamwork	teamwork	NOUN
ajbmeb-2627	55	8	,	,	PUNCT
ajbmeb-2627	55	9	and	and	CCONJ
ajbmeb-2627	55	10	peer	peer	NOUN
ajbmeb-2627	55	11	learning	learning	NOUN
ajbmeb-2627	55	12	,	,	PUNCT
ajbmeb-2627	55	13	enhancing	enhance	VERB
ajbmeb-2627	55	14	students	student	NOUN
ajbmeb-2627	55	15	'	'	PART
ajbmeb-2627	55	16	understanding	understanding	NOUN
ajbmeb-2627	55	17	of	of	ADP
ajbmeb-2627	55	18	geometric	geometric	ADJ
ajbmeb-2627	55	19	concepts	concept	NOUN
ajbmeb-2627	55	20	through	through	ADP
ajbmeb-2627	55	21	collaborative	collaborative	ADJ
ajbmeb-2627	55	22	research	research	NOUN
ajbmeb-2627	55	23	and	and	CCONJ
ajbmeb-2627	55	24	discussion	discussion	NOUN
ajbmeb-2627	55	25	.	.	PUNCT
ajbmeb-2627	56	1	conclusion	conclusion	NOUN
ajbmeb-2627	56	2	:	:	PUNCT
ajbmeb-2627	56	3	in	in	ADP
ajbmeb-2627	56	4	conclusion	conclusion	NOUN
ajbmeb-2627	56	5	,	,	PUNCT
ajbmeb-2627	56	6	it	it	PRON
ajbmeb-2627	56	7	can	can	AUX
ajbmeb-2627	56	8	be	be	AUX
ajbmeb-2627	56	9	said	say	VERB
ajbmeb-2627	56	10	that	that	SCONJ
ajbmeb-2627	56	11	the	the	DET
ajbmeb-2627	56	12	methodology	methodology	NOUN
ajbmeb-2627	56	13	for	for	ADP
ajbmeb-2627	56	14	teaching	teaching	NOUN
ajbmeb-2627	56	15	geometry	geometry	NOUN
ajbmeb-2627	56	16	in	in	ADP
ajbmeb-2627	56	17	a	a	DET
ajbmeb-2627	56	18	school	school	NOUN
ajbmeb-2627	56	19	mathematics	mathematics	NOUN
ajbmeb-2627	56	20	course	course	NOUN
ajbmeb-2627	56	21	should	should	AUX
ajbmeb-2627	56	22	give	give	VERB
ajbmeb-2627	56	23	priority	priority	NOUN
ajbmeb-2627	56	24	to	to	ADP
ajbmeb-2627	56	25	practical	practical	ADJ
ajbmeb-2627	56	26	education	education	NOUN
ajbmeb-2627	56	27	,	,	PUNCT
ajbmeb-2627	56	28	visual	visual	ADJ
ajbmeb-2627	56	29	images	image	NOUN
ajbmeb-2627	56	30	,	,	PUNCT
ajbmeb-2627	56	31	methods	method	NOUN
ajbmeb-2627	56	32	of	of	ADP
ajbmeb-2627	56	33	solving	solve	VERB
ajbmeb-2627	56	34	issues	issue	NOUN
ajbmeb-2627	56	35	,	,	PUNCT
ajbmeb-2627	56	36	real	real	ADJ
ajbmeb-2627	56	37	-	-	PUNCT
ajbmeb-2627	56	38	life	life	NOUN
ajbmeb-2627	56	39	application	application	NOUN
ajbmeb-2627	56	40	,	,	PUNCT
ajbmeb-2627	56	41	interactive	interactive	ADJ
ajbmeb-2627	56	42	technology	technology	NOUN
ajbmeb-2627	56	43	and	and	CCONJ
ajbmeb-2627	56	44	collaborative	collaborative	ADJ
ajbmeb-2627	56	45	teaching	teaching	NOUN
ajbmeb-2627	56	46	.	.	PUNCT
ajbmeb-2627	57	1	by	by	ADP
ajbmeb-2627	57	2	applying	apply	VERB
ajbmeb-2627	57	3	these	these	DET
ajbmeb-2627	57	4	effective	effective	ADJ
ajbmeb-2627	57	5	strategies	strategy	NOUN
ajbmeb-2627	57	6	,	,	PUNCT
ajbmeb-2627	57	7	teachers	teacher	NOUN
ajbmeb-2627	57	8	can	can	AUX
ajbmeb-2627	57	9	create	create	VERB
ajbmeb-2627	57	10	a	a	DET
ajbmeb-2627	57	11	dynamic	dynamic	ADJ
ajbmeb-2627	57	12	and	and	CCONJ
ajbmeb-2627	57	13	engaging	engaging	ADJ
ajbmeb-2627	57	14	learning	learn	VERB
ajbmeb-2627	57	15	environment	environment	NOUN
ajbmeb-2627	57	16	that	that	PRON
ajbmeb-2627	57	17	allows	allow	VERB
ajbmeb-2627	57	18	students	student	NOUN
ajbmeb-2627	57	19	to	to	PART
ajbmeb-2627	57	20	develop	develop	VERB
ajbmeb-2627	57	21	a	a	DET
ajbmeb-2627	57	22	deep	deep	ADJ
ajbmeb-2627	57	23	understanding	understanding	NOUN
ajbmeb-2627	57	24	of	of	ADP
ajbmeb-2627	57	25	geometry	geometry	NOUN
ajbmeb-2627	57	26	and	and	CCONJ
ajbmeb-2627	57	27	develop	develop	VERB
ajbmeb-2627	57	28	important	important	ADJ
ajbmeb-2627	57	29	mathematical	mathematical	ADJ
ajbmeb-2627	57	30	skills	skill	NOUN
ajbmeb-2627	57	31	useful	useful	ADJ
ajbmeb-2627	57	32	in	in	ADP
ajbmeb-2627	57	33	their	their	PRON
ajbmeb-2627	57	34	academic	academic	ADJ
ajbmeb-2627	57	35	and	and	CCONJ
ajbmeb-2627	57	36	future	future	ADJ
ajbmeb-2627	57	37	activities	activity	NOUN
ajbmeb-2627	57	38	.	.	PUNCT
ajbmeb-2627	58	1	references	reference	NOUN
ajbmeb-2627	58	2	1.azamov	1.azamov	NUM
ajbmeb-2627	58	3	a.	a.	PROPN
ajbmeb-2627	58	4	khaydarov	khaydarov	PROPN
ajbmeb-2627	58	5	b.	b.	PROPN
ajbmeb-2627	58	6	,	,	PUNCT
ajbmeb-2627	58	7	kuchkarov	kuchkarov	PROPN
ajbmeb-2627	58	8	a.	a.	PROPN
ajbmeb-2627	58	9	,	,	PUNCT
ajbmeb-2627	58	10	sarikov	sarikov	PROPN
ajbmeb-2627	58	11	ye	ye	PRON
ajbmeb-2627	58	12	.	.	PROPN
ajbmeb-2627	58	13	,	,	PUNCT
ajbmeb-2627	58	14	saghdiev	saghdiev	PROPN
ajbmeb-2627	58	15	u.	u.	PROPN
ajbmeb-2627	58	16	geometry	geometry	PROPN
ajbmeb-2627	58	17	.	.	PUNCT
ajbmeb-2627	59	1	schools	school	NOUN
ajbmeb-2627	59	2	of	of	ADP
ajbmeb-2627	59	3	general	general	ADJ
ajbmeb-2627	59	4	secondary	secondary	ADJ
ajbmeb-2627	59	5	education	education	NOUN
ajbmeb-2627	59	6	are	be	AUX
ajbmeb-2627	59	7	textbooks	textbook	NOUN
ajbmeb-2627	59	8	for	for	ADP
ajbmeb-2627	59	9	grade	grade	NOUN
ajbmeb-2627	59	10	7	7	NUM
ajbmeb-2627	59	11	.	.	PUNCT
ajbmeb-2627	60	1	t.	t.	NOUN
ajbmeb-2627	60	2	:	:	PUNCT
ajbmeb-2627	60	3	"	"	PUNCT
ajbmeb-2627	60	4	newoligrafservis	newoligrafservis	ADJ
ajbmeb-2627	60	5	"	"	PUNCT
ajbmeb-2627	60	6	,	,	PUNCT
ajbmeb-2627	60	7	2017	2017	NUM
ajbmeb-2627	60	8	.	.	PUNCT
ajbmeb-2627	61	1	2.a	2.a	NUM
ajbmeb-2627	61	2	.	.	PUNCT
ajbmeb-2627	61	3	a.	a.	PROPN
ajbmeb-2627	61	4	rahimqoriev	rahimqoriev	PROPN
ajbmeb-2627	61	5	"	"	PUNCT
ajbmeb-2627	61	6	geometry	geometry	NOUN
ajbmeb-2627	61	7	"	"	PUNCT
ajbmeb-2627	61	8	is	be	AUX
ajbmeb-2627	61	9	a	a	DET
ajbmeb-2627	61	10	textbook	textbook	NOUN
ajbmeb-2627	61	11	for	for	ADP
ajbmeb-2627	61	12	the	the	DET
ajbmeb-2627	61	13	8th	8th	ADJ
ajbmeb-2627	61	14	grade	grade	NOUN
ajbmeb-2627	61	15	of	of	ADP
ajbmeb-2627	61	16	schools	school	NOUN
ajbmeb-2627	61	17	of	of	ADP
ajbmeb-2627	61	18	general	general	ADJ
ajbmeb-2627	61	19	secondary	secondary	ADJ
ajbmeb-2627	61	20	education	education	NOUN
ajbmeb-2627	61	21	.	.	PUNCT
ajbmeb-2627	62	1	tashkent	tashkent	PROPN
ajbmeb-2627	62	2	.	.	PUNCT
ajbmeb-2627	63	1	"yangiyo	"yangiyo	NOUN
ajbmeb-2627	63	2	"	"	PUNCT
ajbmeb-2627	63	3	l	l	NOUN
ajbmeb-2627	63	4	polygraph	polygraph	PROPN
ajbmeb-2627	63	5	service"2010	service"2010	NOUN
ajbmeb-2627	63	6	3.haydarov	3.haydarov	NUM
ajbmeb-2627	63	7	b.	b.	PROPN
ajbmeb-2627	63	8	,	,	PUNCT
ajbmeb-2627	63	9	sarikov	sarikov	PROPN
ajbmeb-2627	63	10	ye	ye	PRON
ajbmeb-2627	63	11	.	.	PROPN
ajbmeb-2627	63	12	,	,	PUNCT
ajbmeb-2627	63	13	rams	ram	NOUN
ajbmeb-2627	63	14	a.	a.	NOUN
ajbmeb-2627	63	15	geometry	geometry	NOUN
ajbmeb-2627	63	16	.	.	PUNCT
ajbmeb-2627	64	1	grade	grade	NOUN
ajbmeb-2627	64	2	9	9	NUM
ajbmeb-2627	64	3	-	-	PUNCT
ajbmeb-2627	64	4	t.	t.	NOUN
ajbmeb-2627	64	5	:	:	PUNCT
ajbmeb-2627	64	6	"	"	PUNCT
ajbmeb-2627	64	7	national	national	ADJ
ajbmeb-2627	64	8	encyclopedia	encyclopedia	NOUN
ajbmeb-2627	64	9	of	of	ADP
ajbmeb-2627	64	10	uzbekistan	uzbekistan	PROPN
ajbmeb-2627	64	11	"	"	PUNCT
ajbmeb-2627	64	12	,	,	PUNCT
ajbmeb-2627	64	13	2014	2014	NUM
ajbmeb-2627	64	14	.	.	PUNCT
ajbmeb-2627	65	1	4.pavlova	4.pavlova	NUM
ajbmeb-2627	65	2	l.v	l.v	PROPN
ajbmeb-2627	65	3	.	.	PROPN
ajbmeb-2627	65	4	competence	competence	NOUN
ajbmeb-2627	65	5	problems	problem	NOUN
ajbmeb-2627	65	6	in	in	ADP
ajbmeb-2627	65	7	geometry	geometry	NOUN
ajbmeb-2627	65	8	.	.	PUNCT
ajbmeb-2627	66	1	pskov	pskov	PROPN
ajbmeb-2627	66	2	2014	2014	NUM
ajbmeb-2627	66	3	5	5	NUM
ajbmeb-2627	66	4	.	.	PUNCT
ajbmeb-2627	66	5	i.israilov	i.israilov	PROPN
ajbmeb-2627	66	6	,	,	PUNCT
ajbmeb-2627	66	7	i.pashaev	i.pashaev	NOUN
ajbmeb-2627	66	8	geometry	geometry	NOUN
ajbmeb-2627	66	9	.	.	PUNCT
ajbmeb-2627	67	1	textbook	textbook	NOUN
ajbmeb-2627	67	2	.	.	PUNCT
ajbmeb-2627	68	1	t.	t.	NOUN
ajbmeb-2627	68	2	:	:	PUNCT
ajbmeb-2627	68	3	teacher	teacher	NOUN
ajbmeb-2627	68	4	,	,	PUNCT
ajbmeb-2627	68	5	2011	2011	NUM
ajbmeb-2627	68	6	.	.	PUNCT
ajbmeb-2627	69	1	6	6	NUM
ajbmeb-2627	69	2	.	.	NUM
ajbmeb-2627	69	3	yunusova	yunusova	PROPN
ajbmeb-2627	69	4	d.i	d.i	PROPN
ajbmeb-2627	69	5	.	.	PROPN
ajbmeb-2627	69	6	mathematics	mathematic	NOUN
ajbmeb-2627	69	7	on	on	ADP
ajbmeb-2627	69	8	the	the	DET
ajbmeb-2627	69	9	basis	basis	NOUN
ajbmeb-2627	69	10	of	of	ADP
ajbmeb-2627	69	11	educational	educational	ADJ
ajbmeb-2627	69	12	technologies	technology	NOUN
ajbmeb-2627	69	13	.	.	PUNCT