id	sid	tid	token	lemma	pos
ajtas-1788	1	1	american	american	PROPN
ajtas-1788	1	2	journal	journal	PROPN
ajtas-1788	1	3	of	of	ADP
ajtas-1788	1	4	technology	technology	NOUN
ajtas-1788	1	5	and	and	CCONJ
ajtas-1788	1	6	applied	apply	VERB
ajtas-1788	1	7	sciences	sciences	PROPN
ajtas-1788	1	8	issn	issn	X
ajtas-1788	1	9	(	(	PUNCT
ajtas-1788	1	10	e	e	NOUN
ajtas-1788	1	11	):	):	PUNCT
ajtas-1788	1	12	2832	2832	NUM
ajtas-1788	1	13	-	-	SYM
ajtas-1788	1	14	1766|	1766|	NUM
ajtas-1788	1	15	volume	volume	NOUN
ajtas-1788	1	16	20	20	NUM
ajtas-1788	1	17	,	,	PUNCT
ajtas-1788	1	18	january	january	PROPN
ajtas-1788	1	19	,	,	PUNCT
ajtas-1788	1	20	2024	2024	NUM
ajtas-1788	1	21	p	p	NOUN
ajtas-1788	1	22	a	a	DET
ajtas-1788	1	23	g	g	NOUN
ajtas-1788	1	24	e	e	NOUN
ajtas-1788	2	1	|	|	ADV
ajtas-1788	2	2	75	75	NUM
ajtas-1788	2	3	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-1788	2	4	algebra	algebra	NOUN
ajtas-1788	2	5	teaching	teaching	NOUN
ajtas-1788	2	6	methodology	methodology	NOUN
ajtas-1788	2	7	masimova	masimova	PROPN
ajtas-1788	2	8	gulmira	gulmira	PROPN
ajtas-1788	2	9	maxsutovna	maxsutovna	PROPN
ajtas-1788	2	10	raxmatova	raxmatova	PROPN
ajtas-1788	2	11	gulrux	gulrux	PROPN
ajtas-1788	2	12	axatovna	axatovna	VERB
ajtas-1788	2	13	a	a	DET
ajtas-1788	2	14	b	b	PROPN
ajtas-1788	2	15	s	s	ADP
ajtas-1788	2	16	t	t	PROPN
ajtas-1788	2	17	r	r	NOUN
ajtas-1788	2	18	a	a	DET
ajtas-1788	2	19	c	c	NOUN
ajtas-1788	2	20	t	t	NOUN
ajtas-1788	2	21	k	k	X
ajtas-1788	2	22	e	e	PROPN
ajtas-1788	2	23	y	y	PROPN
ajtas-1788	2	24	w	w	NOUN
ajtas-1788	2	25	o	o	NOUN
ajtas-1788	2	26	r	r	NOUN
ajtas-1788	2	27	d	d	PROPN
ajtas-1788	2	28	s	s	VERB
ajtas-1788	2	29	this	this	DET
ajtas-1788	2	30	article	article	NOUN
ajtas-1788	2	31	is	be	AUX
ajtas-1788	2	32	about	about	ADP
ajtas-1788	2	33	methods	method	NOUN
ajtas-1788	2	34	,	,	PUNCT
ajtas-1788	2	35	methods	method	NOUN
ajtas-1788	2	36	of	of	ADP
ajtas-1788	2	37	teaching	teach	VERB
ajtas-1788	2	38	mathematics	mathematic	NOUN
ajtas-1788	2	39	how	how	SCONJ
ajtas-1788	2	40	important	important	ADJ
ajtas-1788	2	41	mathematics	mathematics	NOUN
ajtas-1788	2	42	is	be	AUX
ajtas-1788	2	43	to	to	ADP
ajtas-1788	2	44	students	student	NOUN
ajtas-1788	2	45	,	,	PUNCT
ajtas-1788	2	46	the	the	DET
ajtas-1788	2	47	importance	importance	NOUN
ajtas-1788	2	48	of	of	ADP
ajtas-1788	2	49	science	science	NOUN
ajtas-1788	2	50	is	be	AUX
ajtas-1788	2	51	shown	show	VERB
ajtas-1788	2	52	in	in	ADP
ajtas-1788	2	53	student	student	NOUN
ajtas-1788	2	54	teran	teran	PROPN
ajtas-1788	2	55	thinking	thinking	PROPN
ajtas-1788	2	56	.	.	PUNCT
ajtas-1788	3	1	math	math	NOUN
ajtas-1788	3	2	,	,	PUNCT
ajtas-1788	3	3	life	life	NOUN
ajtas-1788	3	4	,	,	PUNCT
ajtas-1788	3	5	space	space	NOUN
ajtas-1788	3	6	,	,	PUNCT
ajtas-1788	3	7	oily	oily	ADV
ajtas-1788	3	8	,	,	PUNCT
ajtas-1788	3	9	science	science	NOUN
ajtas-1788	3	10	,	,	PUNCT
ajtas-1788	3	11	teacher	teacher	NOUN
ajtas-1788	3	12	,	,	PUNCT
ajtas-1788	3	13	student	student	NOUN
ajtas-1788	3	14	,	,	PUNCT
ajtas-1788	3	15	elementary	elementary	ADJ
ajtas-1788	3	16	mathematics	mathematics	PROPN
ajtas-1788	3	17	.	.	PUNCT
ajtas-1788	4	1	introduction	introduction	NOUN
ajtas-1788	4	2	algebra	algebra	NOUN
ajtas-1788	4	3	teaching	teaching	NOUN
ajtas-1788	4	4	methodology	methodology	NOUN
ajtas-1788	4	5	refers	refer	VERB
ajtas-1788	4	6	to	to	ADP
ajtas-1788	4	7	the	the	DET
ajtas-1788	4	8	strategies	strategy	NOUN
ajtas-1788	4	9	and	and	CCONJ
ajtas-1788	4	10	directions	direction	NOUN
ajtas-1788	4	11	that	that	PRON
ajtas-1788	4	12	learners	learner	NOUN
ajtas-1788	4	13	use	use	VERB
ajtas-1788	4	14	to	to	PART
ajtas-1788	4	15	effectively	effectively	ADV
ajtas-1788	4	16	teach	teach	VERB
ajtas-1788	4	17	students	student	NOUN
ajtas-1788	4	18	algebraic	algebraic	ADJ
ajtas-1788	4	19	concepts	concept	NOUN
ajtas-1788	4	20	and	and	CCONJ
ajtas-1788	4	21	skills	skill	NOUN
ajtas-1788	4	22	.	.	PUNCT
ajtas-1788	5	1	the	the	DET
ajtas-1788	5	2	general	general	ADJ
ajtas-1788	5	3	methodologies	methodology	NOUN
ajtas-1788	5	4	used	use	VERB
ajtas-1788	5	5	in	in	ADP
ajtas-1788	5	6	algebra	algebra	NOUN
ajtas-1788	5	7	notation	notation	NOUN
ajtas-1788	5	8	are	be	AUX
ajtas-1788	5	9	as	as	SCONJ
ajtas-1788	5	10	follows	follow	VERB
ajtas-1788	5	11	:	:	PUNCT
ajtas-1788	5	12	practical	practical	ADJ
ajtas-1788	5	13	and	and	CCONJ
ajtas-1788	5	14	visual	visual	ADJ
ajtas-1788	5	15	learning	learning	NOUN
ajtas-1788	5	16	.	.	PUNCT
ajtas-1788	6	1	the	the	DET
ajtas-1788	6	2	inclusion	inclusion	NOUN
ajtas-1788	6	3	of	of	ADP
ajtas-1788	6	4	manipulatives	manipulative	NOUN
ajtas-1788	6	5	such	such	ADJ
ajtas-1788	6	6	as	as	ADP
ajtas-1788	6	7	algebra	algebra	NOUN
ajtas-1788	6	8	fibers	fiber	NOUN
ajtas-1788	6	9	or	or	CCONJ
ajtas-1788	6	10	scales	scale	NOUN
ajtas-1788	6	11	helps	help	VERB
ajtas-1788	6	12	to	to	PART
ajtas-1788	6	13	generate	generate	VERB
ajtas-1788	6	14	a	a	DET
ajtas-1788	6	15	concrete	concrete	ADJ
ajtas-1788	6	16	understanding	understanding	NOUN
ajtas-1788	6	17	of	of	ADP
ajtas-1788	6	18	abstract	abstract	ADJ
ajtas-1788	6	19	algebraic	algebraic	ADJ
ajtas-1788	6	20	concepts	concept	NOUN
ajtas-1788	6	21	in	in	ADP
ajtas-1788	6	22	students	student	NOUN
ajtas-1788	6	23	.	.	PUNCT
ajtas-1788	7	1	visual	visual	ADJ
ajtas-1788	7	2	representations	representation	NOUN
ajtas-1788	7	3	such	such	ADJ
ajtas-1788	7	4	as	as	ADP
ajtas-1788	7	5	diagrams	diagram	NOUN
ajtas-1788	7	6	or	or	CCONJ
ajtas-1788	7	7	graphs	graph	NOUN
ajtas-1788	7	8	can	can	AUX
ajtas-1788	7	9	also	also	ADV
ajtas-1788	7	10	help	help	VERB
ajtas-1788	7	11	in	in	ADP
ajtas-1788	7	12	understanding	understand	VERB
ajtas-1788	7	13	algebraic	algebraic	ADJ
ajtas-1788	7	14	relationships	relationship	NOUN
ajtas-1788	7	15	.	.	PUNCT
ajtas-1788	8	1	problem	problem	NOUN
ajtas-1788	8	2	solving	solving	NOUN
ajtas-1788	8	3	method	method	NOUN
ajtas-1788	8	4	.	.	PUNCT
ajtas-1788	9	1	the	the	DET
ajtas-1788	9	2	emphasis	emphasis	NOUN
ajtas-1788	9	3	on	on	ADP
ajtas-1788	9	4	problem	problem	NOUN
ajtas-1788	9	5	solving	solve	VERB
ajtas-1788	9	6	techniques	technique	NOUN
ajtas-1788	9	7	encourages	encourage	VERB
ajtas-1788	9	8	readers	reader	NOUN
ajtas-1788	9	9	to	to	PART
ajtas-1788	9	10	use	use	VERB
ajtas-1788	9	11	critical	critical	ADJ
ajtas-1788	9	12	thinking	thinking	NOUN
ajtas-1788	9	13	and	and	CCONJ
ajtas-1788	9	14	logical	logical	ADJ
ajtas-1788	9	15	reasoning	reasoning	NOUN
ajtas-1788	9	16	in	in	ADP
ajtas-1788	9	17	solving	solve	VERB
ajtas-1788	9	18	algebraic	algebraic	ADJ
ajtas-1788	9	19	equations	equation	NOUN
ajtas-1788	9	20	and	and	CCONJ
ajtas-1788	9	21	word	word	NOUN
ajtas-1788	9	22	problems	problem	NOUN
ajtas-1788	9	23	.	.	PUNCT
ajtas-1788	10	1	teachers	teacher	NOUN
ajtas-1788	10	2	often	often	ADV
ajtas-1788	10	3	provide	provide	VERB
ajtas-1788	10	4	real	real	ADJ
ajtas-1788	10	5	-	-	PUNCT
ajtas-1788	10	6	world	world	NOUN
ajtas-1788	10	7	scenarios	scenario	NOUN
ajtas-1788	10	8	to	to	PART
ajtas-1788	10	9	help	help	VERB
ajtas-1788	10	10	students	student	NOUN
ajtas-1788	10	11	relate	relate	VERB
ajtas-1788	10	12	algebraic	algebraic	ADJ
ajtas-1788	10	13	concepts	concept	NOUN
ajtas-1788	10	14	to	to	ADP
ajtas-1788	10	15	practical	practical	ADJ
ajtas-1788	10	16	situations	situation	NOUN
ajtas-1788	10	17	.	.	PUNCT
ajtas-1788	11	1	sardobali	sardobali	PROPN
ajtas-1788	11	2	instruction	instruction	NOUN
ajtas-1788	11	3	:	:	PUNCT
ajtas-1788	11	4	step	step	NOUN
ajtas-1788	11	5	-	-	PUNCT
ajtas-1788	11	6	by	by	ADP
ajtas-1788	11	7	-	-	PUNCT
ajtas-1788	11	8	step	step	NOUN
ajtas-1788	11	9	increase	increase	NOUN
ajtas-1788	11	10	in	in	ADP
ajtas-1788	11	11	the	the	DET
ajtas-1788	11	12	relevance	relevance	NOUN
ajtas-1788	11	13	of	of	ADP
ajtas-1788	11	14	algebraic	algebraic	ADJ
ajtas-1788	11	15	problems	problem	NOUN
ajtas-1788	11	16	and	and	CCONJ
ajtas-1788	11	17	support	support	VERB
ajtas-1788	11	18	such	such	ADJ
ajtas-1788	11	19	as	as	ADP
ajtas-1788	11	20	specific	specific	ADJ
ajtas-1788	11	21	examples	example	NOUN
ajtas-1788	11	22	,	,	PUNCT
ajtas-1788	11	23	guided	guide	VERB
ajtas-1788	11	24	practice	practice	NOUN
ajtas-1788	11	25	,	,	PUNCT
ajtas-1788	11	26	step	step	NOUN
ajtas-1788	11	27	-	-	PUNCT
ajtas-1788	11	28	by	by	ADP
ajtas-1788	11	29	-	-	PUNCT
ajtas-1788	11	30	step	step	NOUN
ajtas-1788	11	31	instructions	instruction	NOUN
ajtas-1788	11	32	allow	allow	VERB
ajtas-1788	11	33	students	student	NOUN
ajtas-1788	11	34	to	to	PART
ajtas-1788	11	35	gain	gain	VERB
ajtas-1788	11	36	their	their	PRON
ajtas-1788	11	37	skills	skill	NOUN
ajtas-1788	11	38	.	.	PUNCT
ajtas-1788	12	1	collaborative	collaborative	ADJ
ajtas-1788	12	2	learning	learning	PROPN
ajtas-1788	12	3	:	:	PUNCT
ajtas-1788	13	1	collaborative	collaborative	ADJ
ajtas-1788	13	2	activities	activity	NOUN
ajtas-1788	13	3	such	such	ADJ
ajtas-1788	13	4	as	as	ADP
ajtas-1788	13	5	group	group	NOUN
ajtas-1788	13	6	work	work	NOUN
ajtas-1788	13	7	or	or	CCONJ
ajtas-1788	13	8	peer	peer	NOUN
ajtas-1788	13	9	training	training	NOUN
ajtas-1788	13	10	encourage	encourage	VERB
ajtas-1788	13	11	active	active	ADJ
ajtas-1788	13	12	participation	participation	NOUN
ajtas-1788	13	13	and	and	CCONJ
ajtas-1788	13	14	encourage	encourage	VERB
ajtas-1788	13	15	students	student	NOUN
ajtas-1788	13	16	to	to	PART
ajtas-1788	13	17	explain	explain	VERB
ajtas-1788	13	18	their	their	PRON
ajtas-1788	13	19	opinion	opinion	NOUN
ajtas-1788	13	20	,	,	PUNCT
ajtas-1788	13	21	discuss	discuss	VERB
ajtas-1788	13	22	strategies	strategy	NOUN
ajtas-1788	13	23	,	,	PUNCT
ajtas-1788	13	24	and	and	CCONJ
ajtas-1788	13	25	learn	learn	VERB
ajtas-1788	13	26	from	from	ADP
ajtas-1788	13	27	each	each	DET
ajtas-1788	13	28	other	other	ADJ
ajtas-1788	13	29	.	.	PUNCT
ajtas-1788	14	1	collaboration	collaboration	NOUN
ajtas-1788	14	2	can	can	AUX
ajtas-1788	14	3	enhance	enhance	VERB
ajtas-1788	14	4	understanding	understanding	NOUN
ajtas-1788	14	5	and	and	CCONJ
ajtas-1788	14	6	strengthen	strengthen	VERB
ajtas-1788	14	7	teamwork	teamwork	NOUN
ajtas-1788	14	8	skills	skill	NOUN
ajtas-1788	14	9	.	.	PUNCT
ajtas-1788	15	1	technology	technology	NOUN
ajtas-1788	15	2	integration	integration	NOUN
ajtas-1788	15	3	:	:	PUNCT
ajtas-1788	15	4	using	use	VERB
ajtas-1788	15	5	digital	digital	ADJ
ajtas-1788	15	6	tools	tool	NOUN
ajtas-1788	15	7	such	such	ADJ
ajtas-1788	15	8	as	as	ADP
ajtas-1788	15	9	graphing	graph	VERB
ajtas-1788	15	10	counters	counter	NOUN
ajtas-1788	15	11	,	,	PUNCT
ajtas-1788	15	12	algebra	algebra	NOUN
ajtas-1788	15	13	software	software	NOUN
ajtas-1788	15	14	,	,	PUNCT
ajtas-1788	15	15	or	or	CCONJ
ajtas-1788	15	16	educational	educational	ADJ
ajtas-1788	15	17	applications	application	NOUN
ajtas-1788	15	18	can	can	AUX
ajtas-1788	15	19	increase	increase	VERB
ajtas-1788	15	20	algebra	algebra	NOUN
ajtas-1788	15	21	instruction	instruction	NOUN
ajtas-1788	15	22	.	.	PUNCT
ajtas-1788	16	1	the	the	DET
ajtas-1788	16	2	technology	technology	NOUN
ajtas-1788	16	3	allows	allow	VERB
ajtas-1788	16	4	dynamic	dynamic	ADJ
ajtas-1788	16	5	visualizations	visualization	NOUN
ajtas-1788	16	6	,	,	PUNCT
ajtas-1788	16	7	interactive	interactive	ADJ
ajtas-1788	16	8	activities	activity	NOUN
ajtas-1788	16	9	,	,	PUNCT
ajtas-1788	16	10	immediate	immediate	ADJ
ajtas-1788	16	11	feedback	feedback	NOUN
ajtas-1788	16	12	learning	learning	NOUN
ajtas-1788	16	13	,	,	PUNCT
ajtas-1788	16	14	and	and	CCONJ
ajtas-1788	16	15	assistance	assistance	NOUN
ajtas-1788	16	16	in	in	ADP
ajtas-1788	16	17	solving	solve	VERB
ajtas-1788	16	18	the	the	DET
ajtas-1788	16	19	problem	problem	NOUN
ajtas-1788	16	20	.	.	PUNCT
ajtas-1788	17	1	differentiation	differentiation	NOUN
ajtas-1788	17	2	:	:	PUNCT
ajtas-1788	17	3	taking	take	VERB
ajtas-1788	17	4	into	into	ADP
ajtas-1788	17	5	account	account	NOUN
ajtas-1788	17	6	and	and	CCONJ
ajtas-1788	17	7	eliminating	eliminate	VERB
ajtas-1788	17	8	the	the	DET
ajtas-1788	17	9	needs	need	NOUN
ajtas-1788	17	10	of	of	ADP
ajtas-1788	17	11	an	an	DET
ajtas-1788	17	12	individual	individual	ADJ
ajtas-1788	17	13	student	student	NOUN
ajtas-1788	17	14	through	through	ADP
ajtas-1788	17	15	different	different	ADJ
ajtas-1788	17	16	learning	learning	NOUN
ajtas-1788	17	17	methods	method	NOUN
ajtas-1788	17	18	,	,	PUNCT
ajtas-1788	17	19	differentiated	differentiated	ADJ
ajtas-1788	17	20	assignments	assignment	NOUN
ajtas-1788	17	21	and	and	CCONJ
ajtas-1788	17	22	interventions	intervention	NOUN
ajtas-1788	17	23	can	can	AUX
ajtas-1788	17	24	support	support	VERB
ajtas-1788	17	25	different	different	ADJ
ajtas-1788	17	26	learners	learner	NOUN
ajtas-1788	17	27	in	in	ADP
ajtas-1788	17	28	acquiring	acquire	VERB
ajtas-1788	17	29	algebraic	algebraic	ADJ
ajtas-1788	17	30	concepts	concept	NOUN
ajtas-1788	17	31	and	and	CCONJ
ajtas-1788	17	32	skills	skill	NOUN
ajtas-1788	17	33	.	.	PUNCT
ajtas-1788	18	1	continuous	continuous	ADJ
ajtas-1788	18	2	assessment	assessment	NOUN
ajtas-1788	18	3	and	and	CCONJ
ajtas-1788	18	4	feedback	feedback	NOUN
ajtas-1788	18	5	:	:	PUNCT
ajtas-1788	18	6	regular	regular	ADJ
ajtas-1788	18	7	formative	formative	ADJ
ajtas-1788	18	8	assessment	assessment	NOUN
ajtas-1788	18	9	of	of	ADP
ajtas-1788	18	10	students	student	NOUN
ajtas-1788	18	11	'	'	PART
ajtas-1788	18	12	understanding	understanding	NOUN
ajtas-1788	18	13	,	,	PUNCT
ajtas-1788	18	14	quizzes	quiz	NOUN
ajtas-1788	18	15	,	,	PUNCT
ajtas-1788	18	16	or	or	CCONJ
ajtas-1788	18	17	assessment	assessment	NOUN
ajtas-1788	18	18	through	through	ADP
ajtas-1788	18	19	individual	individual	ADJ
ajtas-1788	18	20	feedback	feedback	NOUN
ajtas-1788	18	21	can	can	AUX
ajtas-1788	18	22	help	help	VERB
ajtas-1788	18	23	both	both	DET
ajtas-1788	18	24	teachers	teacher	NOUN
ajtas-1788	18	25	and	and	CCONJ
ajtas-1788	18	26	students	student	NOUN
ajtas-1788	18	27	track	track	VERB
ajtas-1788	18	28	progress	progress	NOUN
ajtas-1788	18	29	,	,	PUNCT
ajtas-1788	18	30	identify	identify	VERB
ajtas-1788	18	31	misconceptions	misconception	NOUN
ajtas-1788	18	32	,	,	PUNCT
ajtas-1788	18	33	and	and	CCONJ
ajtas-1788	18	34	correspondingly	correspondingly	ADV
ajtas-1788	18	35	adjust	adjust	VERB
ajtas-1788	18	36	guidelines	guideline	NOUN
ajtas-1788	18	37	.	.	PUNCT
ajtas-1788	19	1	real	real	ADJ
ajtas-1788	19	2	-	-	PUNCT
ajtas-1788	19	3	life	life	NOUN
ajtas-1788	19	4	connections	connection	NOUN
ajtas-1788	19	5	:	:	PUNCT
ajtas-1788	19	6	linking	link	VERB
ajtas-1788	19	7	algebra	algebra	NOUN
ajtas-1788	19	8	to	to	ADP
ajtas-1788	19	9	real	real	ADJ
ajtas-1788	19	10	-	-	PUNCT
ajtas-1788	19	11	world	world	NOUN
ajtas-1788	19	12	programs	program	NOUN
ajtas-1788	19	13	or	or	CCONJ
ajtas-1788	19	14	related	related	ADJ
ajtas-1788	19	15	concepts	concept	NOUN
ajtas-1788	19	16	can	can	AUX
ajtas-1788	19	17	motivate	motivate	VERB
ajtas-1788	19	18	students	student	NOUN
ajtas-1788	19	19	and	and	CCONJ
ajtas-1788	19	20	help	help	VERB
ajtas-1788	19	21	them	they	PRON
ajtas-1788	19	22	see	see	VERB
ajtas-1788	19	23	the	the	DET
ajtas-1788	19	24	practical	practical	ADJ
ajtas-1788	19	25	value	value	NOUN
ajtas-1788	19	26	of	of	ADP
ajtas-1788	19	27	algebra	algebra	NOUN
ajtas-1788	19	28	in	in	ADP
ajtas-1788	19	29	various	various	ADJ
ajtas-1788	19	30	fields	field	NOUN
ajtas-1788	19	31	,	,	PUNCT
ajtas-1788	19	32	such	such	ADJ
ajtas-1788	19	33	as	as	ADP
ajtas-1788	19	34	science	science	NOUN
ajtas-1788	19	35	,	,	PUNCT
ajtas-1788	19	36	finance	finance	NOUN
ajtas-1788	19	37	or	or	CCONJ
ajtas-1788	19	38	engineering	engineering	NOUN
ajtas-1788	19	39	.	.	PUNCT
ajtas-1788	20	1	american	american	ADJ
ajtas-1788	20	2	journal	journal	PROPN
ajtas-1788	20	3	of	of	ADP
ajtas-1788	20	4	technology	technology	NOUN
ajtas-1788	20	5	and	and	CCONJ
ajtas-1788	20	6	applied	apply	VERB
ajtas-1788	20	7	sciences	science	NOUN
ajtas-1788	20	8	volume	volume	NOUN
ajtas-1788	20	9	20	20	NUM
ajtas-1788	20	10	,	,	PUNCT
ajtas-1788	20	11	january	january	PROPN
ajtas-1788	20	12	2024	2024	NUM
ajtas-1788	20	13	p	p	NOUN
ajtas-1788	20	14	a	a	DET
ajtas-1788	20	15	g	g	NOUN
ajtas-1788	20	16	e	e	NOUN
ajtas-1788	21	1	|	|	ADV
ajtas-1788	21	2	76	76	NUM
ajtas-1788	21	3	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-1788	21	4	it	it	PRON
ajtas-1788	21	5	is	be	AUX
ajtas-1788	21	6	important	important	ADJ
ajtas-1788	21	7	that	that	SCONJ
ajtas-1788	21	8	learners	learner	NOUN
ajtas-1788	21	9	adapt	adapt	VERB
ajtas-1788	21	10	their	their	PRON
ajtas-1788	21	11	learning	learn	VERB
ajtas-1788	21	12	methodologies	methodology	NOUN
ajtas-1788	21	13	to	to	PART
ajtas-1788	21	14	meet	meet	VERB
ajtas-1788	21	15	the	the	DET
ajtas-1788	21	16	needs	need	NOUN
ajtas-1788	21	17	and	and	CCONJ
ajtas-1788	21	18	learning	learn	VERB
ajtas-1788	21	19	styles	style	NOUN
ajtas-1788	21	20	of	of	ADP
ajtas-1788	21	21	their	their	PRON
ajtas-1788	21	22	students	student	NOUN
ajtas-1788	21	23	.	.	PUNCT
ajtas-1788	22	1	these	these	DET
ajtas-1788	22	2	strategies	strategy	NOUN
ajtas-1788	22	3	envisage	envisage	VERB
ajtas-1788	22	4	the	the	DET
ajtas-1788	22	5	formation	formation	NOUN
ajtas-1788	22	6	of	of	ADP
ajtas-1788	22	7	theoretical	theoretical	ADJ
ajtas-1788	22	8	understanding	understanding	NOUN
ajtas-1788	22	9	,	,	PUNCT
ajtas-1788	22	10	procedural	procedural	ADJ
ajtas-1788	22	11	fluency	fluency	NOUN
ajtas-1788	22	12	,	,	PUNCT
ajtas-1788	22	13	and	and	CCONJ
ajtas-1788	22	14	problem	problem	NOUN
ajtas-1788	22	15	solving	solve	VERB
ajtas-1788	22	16	abilities	ability	NOUN
ajtas-1788	22	17	in	in	ADP
ajtas-1788	22	18	algebra	algebra	NOUN
ajtas-1788	22	19	.	.	PUNCT
ajtas-1788	23	1	the	the	DET
ajtas-1788	23	2	practical	practical	ADJ
ajtas-1788	23	3	purpose	purpose	NOUN
ajtas-1788	23	4	of	of	ADP
ajtas-1788	23	5	teaching	teach	VERB
ajtas-1788	23	6	mathematics	mathematic	NOUN
ajtas-1788	23	7	puts	put	VERB
ajtas-1788	23	8	before	before	ADP
ajtas-1788	23	9	itself	itself	PRON
ajtas-1788	23	10	the	the	DET
ajtas-1788	23	11	following	following	ADJ
ajtas-1788	23	12	task	task	NOUN
ajtas-1788	23	13	:	:	PUNCT
ajtas-1788	23	14	1	1	X
ajtas-1788	23	15	.	.	X
ajtas-1788	23	16	teaching	teach	VERB
ajtas-1788	23	17	the	the	DET
ajtas-1788	23	18	theoretical	theoretical	ADJ
ajtas-1788	23	19	knowledge	knowledge	NOUN
ajtas-1788	23	20	gained	gain	VERB
ajtas-1788	23	21	in	in	ADP
ajtas-1788	23	22	the	the	DET
ajtas-1788	23	23	course	course	NOUN
ajtas-1788	23	24	of	of	ADP
ajtas-1788	23	25	mathematics	mathematic	NOUN
ajtas-1788	23	26	to	to	PART
ajtas-1788	23	27	be	be	AUX
ajtas-1788	23	28	able	able	ADJ
ajtas-1788	23	29	to	to	PART
ajtas-1788	23	30	apply	apply	VERB
ajtas-1788	23	31	to	to	ADP
ajtas-1788	23	32	solving	solve	VERB
ajtas-1788	23	33	elementary	elementary	ADJ
ajtas-1788	23	34	problems	problem	NOUN
ajtas-1788	23	35	found	find	VERB
ajtas-1788	23	36	in	in	ADP
ajtas-1788	23	37	everyday	everyday	ADJ
ajtas-1788	23	38	life	life	NOUN
ajtas-1788	23	39	.	.	PUNCT
ajtas-1788	24	1	in	in	ADP
ajtas-1788	24	2	this	this	PRON
ajtas-1788	24	3	,	,	PUNCT
ajtas-1788	24	4	mainly	mainly	ADV
ajtas-1788	24	5	,	,	PUNCT
ajtas-1788	24	6	students	student	NOUN
ajtas-1788	24	7	have	have	VERB
ajtas-1788	24	8	the	the	DET
ajtas-1788	24	9	opportunity	opportunity	NOUN
ajtas-1788	24	10	to	to	PART
ajtas-1788	24	11	relate	relate	VERB
ajtas-1788	24	12	theoretical	theoretical	ADJ
ajtas-1788	24	13	knowledge	knowledge	NOUN
ajtas-1788	24	14	to	to	ADP
ajtas-1788	24	15	practice	practice	VERB
ajtas-1788	24	16	,	,	PUNCT
ajtas-1788	24	17	which	which	PRON
ajtas-1788	24	18	is	be	AUX
ajtas-1788	24	19	taught	teach	VERB
ajtas-1788	24	20	to	to	PART
ajtas-1788	24	21	solve	solve	VERB
ajtas-1788	24	22	practical	practical	ADJ
ajtas-1788	24	23	issues	issue	NOUN
ajtas-1788	24	24	specially	specially	ADV
ajtas-1788	24	25	formulated	formulate	VERB
ajtas-1788	24	26	to	to	PART
ajtas-1788	24	27	find	find	VERB
ajtas-1788	24	28	out	out	ADP
ajtas-1788	24	29	,	,	PUNCT
ajtas-1788	24	30	formulate	formulate	VERB
ajtas-1788	24	31	the	the	DET
ajtas-1788	24	32	skills	skill	NOUN
ajtas-1788	24	33	to	to	PART
ajtas-1788	24	34	perform	perform	VERB
ajtas-1788	24	35	actions	action	NOUN
ajtas-1788	24	36	on	on	ADP
ajtas-1788	24	37	different	different	ADJ
ajtas-1788	24	38	numbers	number	NOUN
ajtas-1788	24	39	and	and	CCONJ
ajtas-1788	24	40	mathematical	mathematical	ADJ
ajtas-1788	24	41	expressions	expression	NOUN
ajtas-1788	24	42	in	in	ADP
ajtas-1788	24	43	them	they	PRON
ajtas-1788	24	44	,	,	PUNCT
ajtas-1788	24	45	and	and	CCONJ
ajtas-1788	24	46	strengthen	strengthen	VERB
ajtas-1788	24	47	them	they	PRON
ajtas-1788	24	48	.	.	PUNCT
ajtas-1788	25	1	2	2	X
ajtas-1788	25	2	.	.	X
ajtas-1788	25	3	formation	formation	NOUN
ajtas-1788	25	4	of	of	ADP
ajtas-1788	25	5	skills	skill	NOUN
ajtas-1788	25	6	for	for	ADP
ajtas-1788	25	7	the	the	DET
ajtas-1788	25	8	use	use	NOUN
ajtas-1788	25	9	of	of	ADP
ajtas-1788	25	10	technical	technical	ADJ
ajtas-1788	25	11	means	mean	NOUN
ajtas-1788	25	12	and	and	CCONJ
ajtas-1788	25	13	visual	visual	ADJ
ajtas-1788	25	14	aids	aid	NOUN
ajtas-1788	25	15	in	in	ADP
ajtas-1788	25	16	the	the	DET
ajtas-1788	25	17	teaching	teaching	NOUN
ajtas-1788	25	18	of	of	ADP
ajtas-1788	25	19	mathematics	mathematic	NOUN
ajtas-1788	25	20	.	.	PUNCT
ajtas-1788	26	1	in	in	ADP
ajtas-1788	26	2	this	this	PRON
ajtas-1788	26	3	,	,	PUNCT
ajtas-1788	26	4	the	the	DET
ajtas-1788	26	5	skills	skill	NOUN
ajtas-1788	26	6	of	of	ADP
ajtas-1788	26	7	students	student	NOUN
ajtas-1788	26	8	to	to	PART
ajtas-1788	26	9	be	be	AUX
ajtas-1788	26	10	able	able	ADJ
ajtas-1788	26	11	to	to	PART
ajtas-1788	26	12	use	use	VERB
ajtas-1788	26	13	technical	technical	ADJ
ajtas-1788	26	14	means	mean	NOUN
ajtas-1788	26	15	,	,	PUNCT
ajtas-1788	26	16	mathematical	mathematical	ADJ
ajtas-1788	26	17	visual	visual	ADJ
ajtas-1788	26	18	aids	aids	PROPN
ajtas-1788	26	19	,	,	PUNCT
ajtas-1788	26	20	tables	table	NOUN
ajtas-1788	26	21	and	and	CCONJ
ajtas-1788	26	22	computing	computing	NOUN
ajtas-1788	26	23	tools	tool	NOUN
ajtas-1788	26	24	are	be	AUX
ajtas-1788	26	25	found	find	VERB
ajtas-1788	26	26	in	in	ADP
ajtas-1788	26	27	mathematics	mathematics	NOUN
ajtas-1788	26	28	lessons	lesson	NOUN
ajtas-1788	26	29	.	.	PUNCT
ajtas-1788	27	1	currently	currently	ADV
ajtas-1788	27	2	,	,	PUNCT
ajtas-1788	27	3	the	the	DET
ajtas-1788	27	4	issue	issue	NOUN
ajtas-1788	27	5	of	of	ADP
ajtas-1788	27	6	matching	match	VERB
ajtas-1788	27	7	the	the	DET
ajtas-1788	27	8	mathematics	mathematic	NOUN
ajtas-1788	27	9	program	program	NOUN
ajtas-1788	27	10	with	with	ADP
ajtas-1788	27	11	other	other	ADJ
ajtas-1788	27	12	disciplines	discipline	NOUN
ajtas-1788	27	13	has	have	AUX
ajtas-1788	27	14	been	be	AUX
ajtas-1788	27	15	solved	solve	VERB
ajtas-1788	27	16	quite	quite	ADV
ajtas-1788	27	17	successfully	successfully	ADV
ajtas-1788	27	18	.	.	PUNCT
ajtas-1788	28	1	for	for	ADP
ajtas-1788	28	2	example	example	NOUN
ajtas-1788	28	3	,	,	PUNCT
ajtas-1788	28	4	some	some	PRON
ajtas-1788	28	5	of	of	ADP
ajtas-1788	28	6	the	the	DET
ajtas-1788	28	7	references	reference	NOUN
ajtas-1788	28	8	used	use	VERB
ajtas-1788	28	9	in	in	ADP
ajtas-1788	28	10	physics	physics	NOUN
ajtas-1788	28	11	about	about	ADP
ajtas-1788	28	12	functions	function	NOUN
ajtas-1788	28	13	and	and	CCONJ
ajtas-1788	28	14	their	their	PRON
ajtas-1788	28	15	graphical	graphical	ADJ
ajtas-1788	28	16	representation	representation	NOUN
ajtas-1788	28	17	begin	begin	VERB
ajtas-1788	28	18	to	to	PART
ajtas-1788	28	19	be	be	AUX
ajtas-1788	28	20	learned	learn	VERB
ajtas-1788	28	21	by	by	ADP
ajtas-1788	28	22	students	student	NOUN
ajtas-1788	28	23	starting	start	VERB
ajtas-1788	28	24	in	in	ADP
ajtas-1788	28	25	grade	grade	PROPN
ajtas-1788	28	26	vii	vii	PROPN
ajtas-1788	28	27	.	.	PUNCT
ajtas-1788	29	1	much	much	ADJ
ajtas-1788	29	2	knowledge	knowledge	NOUN
ajtas-1788	29	3	of	of	ADP
ajtas-1788	29	4	geometric	geometric	ADJ
ajtas-1788	29	5	making	making	NOUN
ajtas-1788	29	6	,	,	PUNCT
ajtas-1788	29	7	given	give	VERB
ajtas-1788	29	8	in	in	ADP
ajtas-1788	29	9	class	class	NOUN
ajtas-1788	29	10	viii	viii	NOUN
ajtas-1788	29	11	,	,	PUNCT
ajtas-1788	29	12	will	will	AUX
ajtas-1788	29	13	be	be	AUX
ajtas-1788	29	14	a	a	DET
ajtas-1788	29	15	rich	rich	ADJ
ajtas-1788	29	16	material	material	NOUN
ajtas-1788	29	17	for	for	ADP
ajtas-1788	29	18	the	the	DET
ajtas-1788	29	19	subject	subject	NOUN
ajtas-1788	29	20	of	of	ADP
ajtas-1788	29	21	drawing	drawing	NOUN
ajtas-1788	29	22	,	,	PUNCT
ajtas-1788	29	23	the	the	DET
ajtas-1788	29	24	task	task	NOUN
ajtas-1788	29	25	of	of	ADP
ajtas-1788	29	26	drawing	drawing	NOUN
ajtas-1788	29	27	is	be	AUX
ajtas-1788	29	28	to	to	PART
ajtas-1788	29	29	thorough	thorough	VERB
ajtas-1788	29	30	this	this	DET
ajtas-1788	29	31	knowledge	knowledge	NOUN
ajtas-1788	29	32	by	by	ADP
ajtas-1788	29	33	performing	perform	VERB
ajtas-1788	29	34	various	various	ADJ
ajtas-1788	29	35	drawing	drawing	NOUN
ajtas-1788	29	36	works	work	NOUN
ajtas-1788	29	37	.	.	PUNCT
ajtas-1788	30	1	the	the	DET
ajtas-1788	30	2	question	question	NOUN
ajtas-1788	30	3	of	of	ADP
ajtas-1788	30	4	the	the	DET
ajtas-1788	30	5	use	use	NOUN
ajtas-1788	30	6	of	of	ADP
ajtas-1788	30	7	other	other	ADJ
ajtas-1788	30	8	subjects	subject	NOUN
ajtas-1788	30	9	in	in	ADP
ajtas-1788	30	10	mathematics	mathematics	NOUN
ajtas-1788	30	11	lessons	lesson	NOUN
ajtas-1788	30	12	is	be	AUX
ajtas-1788	30	13	clear	clear	ADJ
ajtas-1788	30	14	in	in	ADP
ajtas-1788	30	15	the	the	DET
ajtas-1788	30	16	program	program	NOUN
ajtas-1788	30	17	it	it	PRON
ajtas-1788	30	18	is	be	AUX
ajtas-1788	30	19	difficult	difficult	ADJ
ajtas-1788	30	20	to	to	PART
ajtas-1788	30	21	show	show	VERB
ajtas-1788	30	22	,	,	PUNCT
ajtas-1788	30	23	this	this	PRON
ajtas-1788	30	24	is	be	AUX
ajtas-1788	30	25	done	do	VERB
ajtas-1788	30	26	by	by	ADP
ajtas-1788	30	27	the	the	DET
ajtas-1788	30	28	teacher	teacher	NOUN
ajtas-1788	30	29	himself	himself	PRON
ajtas-1788	30	30	,	,	PUNCT
ajtas-1788	30	31	yahi	yahi	PROPN
ajtas-1788	30	32	teaching	teach	VERB
ajtas-1788	30	33	material	material	NOUN
ajtas-1788	30	34	when	when	SCONJ
ajtas-1788	30	35	planning	plan	VERB
ajtas-1788	30	36	and	and	CCONJ
ajtas-1788	30	37	prepare	prepare	VERB
ajtas-1788	30	38	for	for	ADP
ajtas-1788	30	39	the	the	DET
ajtas-1788	30	40	lesson	lesson	NOUN
ajtas-1788	30	41	-	-	PUNCT
ajtas-1788	30	42	the	the	DET
ajtas-1788	30	43	niche	niche	NOUN
ajtas-1788	30	44	should	should	AUX
ajtas-1788	30	45	take	take	VERB
ajtas-1788	30	46	into	into	ADP
ajtas-1788	30	47	account	account	NOUN
ajtas-1788	30	48	at	at	ADP
ajtas-1788	30	49	the	the	DET
ajtas-1788	30	50	time	time	NOUN
ajtas-1788	30	51	.	.	PUNCT
ajtas-1788	31	1	masalari	masalari	ADJ
ajtas-1788	31	2	,	,	PUNCT
ajtas-1788	31	3	reflect	reflect	VERB
ajtas-1788	31	4	the	the	DET
ajtas-1788	31	5	connections	connection	NOUN
ajtas-1788	31	6	between	between	ADP
ajtas-1788	31	7	physical	physical	ADJ
ajtas-1788	31	8	quantities	quantity	NOUN
ajtas-1788	31	9	during	during	ADP
ajtas-1788	31	10	the	the	DET
ajtas-1788	31	11	period	period	NOUN
ajtas-1788	31	12	of	of	ADP
ajtas-1788	31	13	study	study	NOUN
ajtas-1788	31	14	of	of	ADP
ajtas-1788	31	15	equations	equation	NOUN
ajtas-1788	31	16	the	the	DET
ajtas-1788	31	17	equations	equation	NOUN
ajtas-1788	31	18	to	to	PART
ajtas-1788	31	19	proceed	proceed	VERB
ajtas-1788	31	20	,	,	PUNCT
ajtas-1788	31	21	i.e.	i.e.	X
ajtas-1788	31	22	the	the	DET
ajtas-1788	31	23	heat	heat	NOUN
ajtas-1788	31	24	balance	balance	NOUN
ajtas-1788	31	25	equation	equation	NOUN
ajtas-1788	31	26	,	,	PUNCT
ajtas-1788	31	27	from	from	ADP
ajtas-1788	31	28	heat	heat	NOUN
ajtas-1788	31	29	solving	solve	VERB
ajtas-1788	31	30	the	the	DET
ajtas-1788	31	31	linear	linear	ADJ
ajtas-1788	31	32	expansion	expansion	NOUN
ajtas-1788	31	33	equation	equation	NOUN
ajtas-1788	31	34	and	and	CCONJ
ajtas-1788	31	35	similar	similar	ADJ
ajtas-1788	31	36	equations	equation	NOUN
ajtas-1788	31	37	as	as	ADV
ajtas-1788	31	38	well	well	ADV
ajtas-1788	31	39	can	can	AUX
ajtas-1788	31	40	.	.	PUNCT
ajtas-1788	32	1	in	in	ADP
ajtas-1788	32	2	the	the	DET
ajtas-1788	32	3	study	study	NOUN
ajtas-1788	32	4	of	of	ADP
ajtas-1788	32	5	the	the	DET
ajtas-1788	32	6	percentage	percentage	NOUN
ajtas-1788	32	7	,	,	PUNCT
ajtas-1788	32	8	proportion	proportion	NOUN
ajtas-1788	32	9	and	and	CCONJ
ajtas-1788	32	10	other	other	ADJ
ajtas-1788	32	11	chapters	chapter	NOUN
ajtas-1788	32	12	of	of	ADP
ajtas-1788	32	13	the	the	DET
ajtas-1788	32	14	program	program	NOUN
ajtas-1788	32	15	,	,	PUNCT
ajtas-1788	32	16	ximia	ximia	NOUN
ajtas-1788	32	17	and	and	CCONJ
ajtas-1788	32	18	it	it	PRON
ajtas-1788	32	19	is	be	AUX
ajtas-1788	32	20	desirable	desirable	ADJ
ajtas-1788	32	21	to	to	PART
ajtas-1788	32	22	use	use	VERB
ajtas-1788	32	23	physics	physics	NOUN
ajtas-1788	32	24	issues	issue	NOUN
ajtas-1788	32	25	(	(	PUNCT
ajtas-1788	32	26	mixtures	mixture	NOUN
ajtas-1788	32	27	,	,	PUNCT
ajtas-1788	32	28	castings	casting	NOUN
ajtas-1788	32	29	and	and	CCONJ
ajtas-1788	32	30	so	so	ADV
ajtas-1788	32	31	on	on	ADP
ajtas-1788	32	32	analogues	analogue	NOUN
ajtas-1788	32	33	)	)	PUNCT
ajtas-1788	32	34	,	,	PUNCT
ajtas-1788	32	35	e.g.	e.g.	ADV
ajtas-1788	32	36	:	:	PUNCT
ajtas-1788	32	37	1	1	NUM
ajtas-1788	32	38	)	)	PUNCT
ajtas-1788	32	39	from	from	ADP
ajtas-1788	32	40	a	a	DET
ajtas-1788	32	41	solute	solute	NOUN
ajtas-1788	32	42	to	to	PART
ajtas-1788	32	43	form	form	VERB
ajtas-1788	32	44	a	a	DET
ajtas-1788	32	45	20	20	NUM
ajtas-1788	32	46	%	%	NOUN
ajtas-1788	32	47	solution	solution	NOUN
ajtas-1788	32	48	how	how	SCONJ
ajtas-1788	32	49	much	much	ADJ
ajtas-1788	32	50	to	to	PART
ajtas-1788	32	51	put	put	VERB
ajtas-1788	32	52	in	in	ADP
ajtas-1788	32	53	240	240	NUM
ajtas-1788	32	54	g	g	NOUN
ajtas-1788	32	55	of	of	ADP
ajtas-1788	32	56	water	water	NOUN
ajtas-1788	32	57	2	2	NUM
ajtas-1788	32	58	)	)	PUNCT
ajtas-1788	32	59	boil	boil	VERB
ajtas-1788	32	60	5	5	NUM
ajtas-1788	32	61	%	%	NOUN
ajtas-1788	32	62	solution	solution	NOUN
ajtas-1788	32	63	of	of	ADP
ajtas-1788	32	64	400	400	NUM
ajtas-1788	32	65	g	g	NOUN
ajtas-1788	32	66	and	and	CCONJ
ajtas-1788	32	67	add	add	VERB
ajtas-1788	32	68	to	to	ADP
ajtas-1788	32	69	200	200	NUM
ajtas-1788	32	70	g	g	NOUN
ajtas-1788	32	71	brought	bring	VERB
ajtas-1788	32	72	.	.	PUNCT
ajtas-1788	33	1	now	now	ADV
ajtas-1788	33	2	,	,	PUNCT
ajtas-1788	33	3	what	what	PRON
ajtas-1788	33	4	will	will	AUX
ajtas-1788	33	5	be	be	AUX
ajtas-1788	33	6	the	the	DET
ajtas-1788	33	7	sharpness	sharpness	NOUN
ajtas-1788	33	8	of	of	ADP
ajtas-1788	33	9	the	the	DET
ajtas-1788	33	10	solution	solution	NOUN
ajtas-1788	33	11	?	?	PUNCT
ajtas-1788	34	1	the	the	DET
ajtas-1788	34	2	use	use	NOUN
ajtas-1788	34	3	of	of	ADP
ajtas-1788	34	4	materials	material	NOUN
ajtas-1788	34	5	related	relate	VERB
ajtas-1788	34	6	to	to	ADP
ajtas-1788	34	7	neighboring	neighboring	NOUN
ajtas-1788	34	8	subjects	subject	NOUN
ajtas-1788	34	9	in	in	ADP
ajtas-1788	34	10	mathematics	mathematics	NOUN
ajtas-1788	34	11	lessons	lesson	NOUN
ajtas-1788	34	12	is	be	AUX
ajtas-1788	34	13	interdisciplinary	interdisciplinary	ADJ
ajtas-1788	34	14	further	far	ADV
ajtas-1788	34	15	strengthens	strengthen	VERB
ajtas-1788	34	16	the	the	DET
ajtas-1788	34	17	inextricable	inextricable	ADJ
ajtas-1788	34	18	connection	connection	NOUN
ajtas-1788	34	19	.	.	PUNCT
ajtas-1788	35	1	educators	educator	NOUN
ajtas-1788	35	2	international	international	PROPN
ajtas-1788	35	3	research	research	PROPN
ajtas-1788	35	4	journal	journal	PROPN
ajtas-1788	35	5	www.pedagoglar.uz	www.pedagoglar.uz	PROPN
ajtas-1788	35	6	138	138	NUM
ajtas-1788	35	7	volume-2	volume-2	PROPN
ajtas-1788	35	8	,	,	PUNCT
ajtas-1788	35	9	issue-1	issue-1	PROPN
ajtas-1788	35	10	,	,	PUNCT
ajtas-1788	35	11	january–2022	january–2022	NOUN
ajtas-1788	35	12	methods	method	NOUN
ajtas-1788	35	13	of	of	ADP
ajtas-1788	35	14	teaching	teach	VERB
ajtas-1788	35	15	mathematics	mathematic	NOUN
ajtas-1788	35	16	other	other	ADJ
ajtas-1788	35	17	subjects	subject	NOUN
ajtas-1788	35	18	,	,	PUNCT
ajtas-1788	35	19	above	above	ADP
ajtas-1788	35	20	all	all	PRON
ajtas-1788	35	21	,	,	PUNCT
ajtas-1788	35	22	mathematics	mathematic	NOUN
ajtas-1788	35	23	–	–	PUNCT
ajtas-1788	35	24	it	it	PRON
ajtas-1788	35	25	is	be	AUX
ajtas-1788	35	26	inextricably	inextricably	ADV
ajtas-1788	35	27	linked	link	VERB
ajtas-1788	35	28	with	with	ADP
ajtas-1788	35	29	its	its	PRON
ajtas-1788	35	30	base	base	NOUN
ajtas-1788	35	31	science	science	NOUN
ajtas-1788	35	32	.	.	PUNCT
ajtas-1788	36	1	modern	modern	ADJ
ajtas-1788	36	2	mathematics	mathematic	NOUN
ajtas-1788	36	3	sets	set	NOUN
ajtas-1788	36	4	in	in	ADP
ajtas-1788	36	5	the	the	DET
ajtas-1788	36	6	foundation	foundation	NOUN
ajtas-1788	36	7	of	of	ADP
ajtas-1788	36	8	the	the	DET
ajtas-1788	36	9	concept	concept	NOUN
ajtas-1788	36	10	of	of	ADP
ajtas-1788	36	11	natural	natural	ADJ
ajtas-1788	36	12	number	number	NOUN
ajtas-1788	36	13	relies	rely	VERB
ajtas-1788	36	14	on	on	ADP
ajtas-1788	36	15	theory	theory	NOUN
ajtas-1788	36	16	.	.	PUNCT
ajtas-1788	37	1	modern	modern	ADJ
ajtas-1788	37	2	mathematics	mathematic	NOUN
ajtas-1788	37	3	designed	design	VERB
ajtas-1788	37	4	for	for	ADP
ajtas-1788	37	5	elementary	elementary	ADJ
ajtas-1788	37	6	grades	grade	NOUN
ajtas-1788	37	7	we	we	PRON
ajtas-1788	37	8	will	will	AUX
ajtas-1788	37	9	face	face	VERB
ajtas-1788	37	10	the	the	DET
ajtas-1788	37	11	following	follow	VERB
ajtas-1788	37	12	assignments	assignment	NOUN
ajtas-1788	37	13	given	give	VERB
ajtas-1788	37	14	for	for	ADP
ajtas-1788	37	15	the	the	DET
ajtas-1788	37	16	first	first	ADJ
ajtas-1788	37	17	of	of	ADP
ajtas-1788	37	18	his	his	PRON
ajtas-1788	37	19	textbook	textbook	NOUN
ajtas-1788	37	20	:	:	PUNCT
ajtas-1788	37	21	"	"	PUNCT
ajtas-1788	37	22	in	in	ADP
ajtas-1788	37	23	the	the	DET
ajtas-1788	37	24	picture	picture	NOUN
ajtas-1788	37	25	paint	paint	NOUN
ajtas-1788	37	26	so	so	ADV
ajtas-1788	37	27	many	many	ADJ
ajtas-1788	37	28	cells	cell	NOUN
ajtas-1788	37	29	in	in	ADP
ajtas-1788	37	30	a	a	DET
ajtas-1788	37	31	row	row	NOUN
ajtas-1788	37	32	,	,	PUNCT
ajtas-1788	37	33	how	how	SCONJ
ajtas-1788	37	34	many	many	ADJ
ajtas-1788	37	35	in	in	ADP
ajtas-1788	37	36	the	the	DET
ajtas-1788	37	37	picture	picture	NOUN
ajtas-1788	37	38	in	in	ADP
ajtas-1788	37	39	the	the	DET
ajtas-1788	37	40	case	case	NOUN
ajtas-1788	37	41	of	of	ADP
ajtas-1788	37	42	a	a	DET
ajtas-1788	37	43	bus	bus	NOUN
ajtas-1788	37	44	,	,	PUNCT
ajtas-1788	37	45	paint	paint	NOUN
ajtas-1788	37	46	so	so	ADV
ajtas-1788	37	47	many	many	ADJ
ajtas-1788	37	48	cells	cell	NOUN
ajtas-1788	37	49	in	in	ADP
ajtas-1788	37	50	row	row	NOUN
ajtas-1788	37	51	2".completing	2".completing	NUM
ajtas-1788	37	52	such	such	ADJ
ajtas-1788	37	53	assignments	assignment	NOUN
ajtas-1788	37	54	a	a	DET
ajtas-1788	37	55	reciprocal	reciprocal	ADJ
ajtas-1788	37	56	one	one	NUM
ajtas-1788	37	57	-	-	PUNCT
ajtas-1788	37	58	valued	value	VERB
ajtas-1788	37	59	correspondence	correspondence	NOUN
ajtas-1788	37	60	between	between	ADP
ajtas-1788	37	61	elements	element	NOUN
ajtas-1788	37	62	of	of	ADP
ajtas-1788	37	63	sets	set	NOUN
ajtas-1788	37	64	showing	show	VERB
ajtas-1788	37	65	children	child	NOUN
ajtas-1788	37	66	induces	induce	VERB
ajtas-1788	37	67	embedding	embed	VERB
ajtas-1788	37	68	,	,	PUNCT
ajtas-1788	37	69	which	which	PRON
ajtas-1788	37	70	is	be	AUX
ajtas-1788	37	71	important	important	ADJ
ajtas-1788	37	72	in	in	ADP
ajtas-1788	37	73	shaping	shape	VERB
ajtas-1788	37	74	the	the	DET
ajtas-1788	37	75	concept	concept	NOUN
ajtas-1788	37	76	of	of	ADP
ajtas-1788	37	77	natural	natural	ADJ
ajtas-1788	37	78	number	number	NOUN
ajtas-1788	37	79	of	of	ADP
ajtas-1788	37	80	importance	importance	NOUN
ajtas-1788	37	81	.	.	PUNCT
ajtas-1788	38	1	mum	mum	NOUN
ajtas-1788	38	2	depends	depend	VERB
ajtas-1788	38	3	on	on	ADP
ajtas-1788	38	4	the	the	DET
ajtas-1788	38	5	methodology	methodology	NOUN
ajtas-1788	38	6	of	of	ADP
ajtas-1788	38	7	general	general	ADJ
ajtas-1788	38	8	mathematics	mathematic	NOUN
ajtas-1788	38	9	.	.	PUNCT
ajtas-1788	39	1	general	general	ADJ
ajtas-1788	39	2	mathematics	mathematic	NOUN
ajtas-1788	39	3	the	the	DET
ajtas-1788	39	4	laws	law	NOUN
ajtas-1788	39	5	established	establish	VERB
ajtas-1788	39	6	by	by	ADP
ajtas-1788	39	7	the	the	DET
ajtas-1788	39	8	methodology	methodology	NOUN
ajtas-1788	39	9	of	of	ADP
ajtas-1788	39	10	younger	young	ADJ
ajtas-1788	39	11	students	student	NOUN
ajtas-1788	39	12	it	it	PRON
ajtas-1788	39	13	is	be	AUX
ajtas-1788	39	14	developed	develop	VERB
ajtas-1788	39	15	taking	take	VERB
ajtas-1788	39	16	into	into	ADP
ajtas-1788	39	17	account	account	NOUN
ajtas-1788	39	18	age	age	NOUN
ajtas-1788	39	19	characteristics	characteristic	NOUN
ajtas-1788	39	20	.	.	PUNCT
ajtas-1788	40	1	elementary	elementary	ADJ
ajtas-1788	40	2	grade	grade	PROPN
ajtas-1788	40	3	with	with	ADP
ajtas-1788	40	4	the	the	DET
ajtas-1788	40	5	science	science	NOUN
ajtas-1788	40	6	of	of	ADP
ajtas-1788	40	7	believer	believer	NOUN
ajtas-1788	40	8	pedagogy	pedagogy	NOUN
ajtas-1788	40	9	and	and	CCONJ
ajtas-1788	40	10	new	new	ADJ
ajtas-1788	40	11	pedagogical	pedagogical	ADJ
ajtas-1788	40	12	technology	technology	NOUN
ajtas-1788	40	13	is	be	AUX
ajtas-1788	40	14	inextricably	inextricably	ADV
ajtas-1788	40	15	linked	link	VERB
ajtas-1788	40	16	and	and	CCONJ
ajtas-1788	40	17	relies	rely	VERB
ajtas-1788	40	18	on	on	ADP
ajtas-1788	40	19	its	its	PRON
ajtas-1788	40	20	laws	law	NOUN
ajtas-1788	40	21	.	.	PUNCT
ajtas-1788	41	1	pedagogy	pedagogy	NOUN
ajtas-1788	41	2	with	with	ADP
ajtas-1788	41	3	faith	faith	NOUN
ajtas-1788	41	4	there	there	PRON
ajtas-1788	41	5	is	be	VERB
ajtas-1788	41	6	a	a	DET
ajtas-1788	41	7	double	double	ADJ
ajtas-1788	41	8	bond	bond	NOUN
ajtas-1788	41	9	between	between	ADP
ajtas-1788	41	10	.	.	PUNCT
ajtas-1788	42	1	on	on	ADP
ajtas-1788	42	2	the	the	DET
ajtas-1788	42	3	one	one	NUM
ajtas-1788	42	4	hand	hand	NOUN
ajtas-1788	42	5	,	,	PUNCT
ajtas-1788	42	6	the	the	DET
ajtas-1788	42	7	methodology	methodology	NOUN
ajtas-1788	42	8	of	of	ADP
ajtas-1788	42	9	mathematics	mathematic	NOUN
ajtas-1788	42	10	to	to	ADP
ajtas-1788	42	11	the	the	DET
ajtas-1788	42	12	general	general	ADJ
ajtas-1788	42	13	theory	theory	NOUN
ajtas-1788	42	14	of	of	ADP
ajtas-1788	42	15	pedagogy	pedagogy	NOUN
ajtas-1788	42	16	relies	rely	VERB
ajtas-1788	42	17	and	and	CCONJ
ajtas-1788	42	18	is	be	AUX
ajtas-1788	42	19	formed	form	VERB
ajtas-1788	42	20	on	on	ADP
ajtas-1788	42	21	this	this	DET
ajtas-1788	42	22	basis	basis	NOUN
ajtas-1788	42	23	.	.	PUNCT
ajtas-1788	43	1	this	this	DET
ajtas-1788	43	2	case	case	NOUN
ajtas-1788	43	3	solved	solve	VERB
ajtas-1788	43	4	the	the	DET
ajtas-1788	43	5	problems	problem	NOUN
ajtas-1788	43	6	of	of	ADP
ajtas-1788	43	7	teaching	teach	VERB
ajtas-1788	43	8	mathematics	mathematic	NOUN
ajtas-1788	43	9	provides	provide	VERB
ajtas-1788	43	10	a	a	DET
ajtas-1788	43	11	single	single	ADJ
ajtas-1788	43	12	whole	whole	NOUN
ajtas-1788	43	13	of	of	ADP
ajtas-1788	43	14	methodical	methodical	ADJ
ajtas-1788	43	15	and	and	CCONJ
ajtas-1788	43	16	theoretical	theoretical	ADJ
ajtas-1788	43	17	convergence	convergence	NOUN
ajtas-1788	43	18	in	in	ADP
ajtas-1788	43	19	implementation	implementation	NOUN
ajtas-1788	43	20	.	.	PUNCT
ajtas-1788	44	1	american	american	ADJ
ajtas-1788	44	2	journal	journal	PROPN
ajtas-1788	44	3	of	of	ADP
ajtas-1788	44	4	technology	technology	NOUN
ajtas-1788	44	5	and	and	CCONJ
ajtas-1788	44	6	applied	apply	VERB
ajtas-1788	44	7	sciences	science	NOUN
ajtas-1788	44	8	volume	volume	NOUN
ajtas-1788	44	9	20	20	NUM
ajtas-1788	44	10	,	,	PUNCT
ajtas-1788	44	11	january	january	PROPN
ajtas-1788	44	12	2024	2024	NUM
ajtas-1788	44	13	p	p	NOUN
ajtas-1788	44	14	a	a	DET
ajtas-1788	44	15	g	g	NOUN
ajtas-1788	44	16	e	e	NOUN
ajtas-1788	44	17	|	|	ADV
ajtas-1788	44	18	77	77	NUM
ajtas-1788	44	19	www.americanjournal.org	www.americanjournal.org	NOUN
ajtas-1788	44	20	on	on	ADP
ajtas-1788	44	21	the	the	DET
ajtas-1788	44	22	second	second	ADJ
ajtas-1788	44	23	hand	hand	NOUN
ajtas-1788	44	24	,	,	PUNCT
ajtas-1788	44	25	in	in	ADP
ajtas-1788	44	26	the	the	DET
ajtas-1788	44	27	formation	formation	NOUN
ajtas-1788	44	28	of	of	ADP
ajtas-1788	44	29	the	the	DET
ajtas-1788	44	30	general	general	ADJ
ajtas-1788	44	31	laws	law	NOUN
ajtas-1788	44	32	of	of	ADP
ajtas-1788	44	33	pedagogy	pedagogy	NOUN
ajtas-1788	44	34	it	it	PRON
ajtas-1788	44	35	relies	rely	VERB
ajtas-1788	44	36	on	on	ADP
ajtas-1788	44	37	the	the	DET
ajtas-1788	44	38	information	information	NOUN
ajtas-1788	44	39	achieved	achieve	VERB
ajtas-1788	44	40	by	by	ADP
ajtas-1788	44	41	the	the	DET
ajtas-1788	44	42	proprietary	proprietary	ADJ
ajtas-1788	44	43	methodologies	methodology	NOUN
ajtas-1788	44	44	,	,	PUNCT
ajtas-1788	44	45	which	which	PRON
ajtas-1788	44	46	is	be	AUX
ajtas-1788	44	47	its	its	PRON
ajtas-1788	44	48	ensures	ensure	NOUN
ajtas-1788	44	49	vitality	vitality	NOUN
ajtas-1788	44	50	and	and	CCONJ
ajtas-1788	44	51	accuracy	accuracy	NOUN
ajtas-1788	44	52	.	.	PUNCT
ajtas-1788	45	1	thus	thus	ADV
ajtas-1788	45	2	,	,	PUNCT
ajtas-1788	45	3	pedagogy	pedagogy	NOUN
ajtas-1788	45	4	“	"	PUNCT
ajtas-1788	45	5	feeds”from	feeds”from	ADP
ajtas-1788	45	6	the	the	DET
ajtas-1788	45	7	concrete	concrete	ADJ
ajtas-1788	45	8	material	material	NOUN
ajtas-1788	45	9	of	of	ADP
ajtas-1788	45	10	methodologies	methodology	NOUN
ajtas-1788	45	11	,	,	PUNCT
ajtas-1788	45	12	it	it	PRON
ajtas-1788	45	13	is	be	AUX
ajtas-1788	45	14	used	use	VERB
ajtas-1788	45	15	in	in	ADP
ajtas-1788	45	16	pedagogical	pedagogical	ADJ
ajtas-1788	45	17	generalization	generalization	NOUN
ajtas-1788	45	18	and	and	CCONJ
ajtas-1788	45	19	in	in	ADP
ajtas-1788	45	20	turn	turn	NOUN
ajtas-1788	45	21	uses	use	VERB
ajtas-1788	45	22	methodologies	methodology	NOUN
ajtas-1788	45	23	erves	erve	NOUN
ajtas-1788	45	24	as	as	ADP
ajtas-1788	45	25	a	a	DET
ajtas-1788	45	26	guide	guide	NOUN
ajtas-1788	45	27	in	in	ADP
ajtas-1788	45	28	development	development	NOUN
ajtas-1788	45	29	.	.	PUNCT
ajtas-1788	46	1	the	the	DET
ajtas-1788	46	2	knowledge	knowledge	NOUN
ajtas-1788	46	3	that	that	PRON
ajtas-1788	46	4	students	student	NOUN
ajtas-1788	46	5	receive	receive	VERB
ajtas-1788	46	6	in	in	ADP
ajtas-1788	46	7	a	a	DET
ajtas-1788	46	8	math	math	NOUN
ajtas-1788	46	9	class	class	NOUN
ajtas-1788	46	10	is	be	AUX
ajtas-1788	46	11	found	find	VERB
ajtas-1788	46	12	in	in	ADP
ajtas-1788	46	13	everyday	everyday	ADJ
ajtas-1788	46	14	life	life	NOUN
ajtas-1788	46	15	teaching	teach	VERB
ajtas-1788	46	16	to	to	PART
ajtas-1788	46	17	be	be	AUX
ajtas-1788	46	18	able	able	ADJ
ajtas-1788	46	19	to	to	PART
ajtas-1788	46	20	apply	apply	VERB
ajtas-1788	46	21	elementary	elementary	ADJ
ajtas-1788	46	22	issues	issue	NOUN
ajtas-1788	46	23	to	to	ADP
ajtas-1788	46	24	solving	solve	VERB
ajtas-1788	46	25	,	,	PUNCT
ajtas-1788	46	26	teaching	teach	VERB
ajtas-1788	46	27	students	student	NOUN
ajtas-1788	46	28	to	to	PART
ajtas-1788	46	29	solve	solve	VERB
ajtas-1788	46	30	practical	practical	ADJ
ajtas-1788	46	31	issues	issue	NOUN
ajtas-1788	46	32	specially	specially	ADV
ajtas-1788	46	33	formulated	formulate	VERB
ajtas-1788	46	34	to	to	PART
ajtas-1788	46	35	form	form	VERB
ajtas-1788	46	36	skills	skill	NOUN
ajtas-1788	46	37	for	for	ADP
ajtas-1788	46	38	performing	perform	VERB
ajtas-1788	46	39	arithmetic	arithmetic	ADJ
ajtas-1788	46	40	operations	operation	NOUN
ajtas-1788	46	41	and	and	CCONJ
ajtas-1788	46	42	strengthen	strengthen	VERB
ajtas-1788	46	43	them	they	PRON
ajtas-1788	46	44	,	,	PUNCT
ajtas-1788	46	45	the	the	DET
ajtas-1788	46	46	use	use	NOUN
ajtas-1788	46	47	of	of	ADP
ajtas-1788	46	48	technical	technical	ADJ
ajtas-1788	46	49	means	mean	NOUN
ajtas-1788	46	50	and	and	CCONJ
ajtas-1788	46	51	visual	visual	ADJ
ajtas-1788	46	52	aids	aid	NOUN
ajtas-1788	46	53	in	in	ADP
ajtas-1788	46	54	teaching	teach	VERB
ajtas-1788	46	55	mathematics	mathematic	NOUN
ajtas-1788	46	56	formation	formation	NOUN
ajtas-1788	46	57	of	of	ADP
ajtas-1788	46	58	qualifications	qualification	NOUN
ajtas-1788	46	59	.	.	PUNCT
ajtas-1788	47	1	the	the	DET
ajtas-1788	47	2	main	main	ADJ
ajtas-1788	47	3	focus	focus	NOUN
ajtas-1788	47	4	in	in	ADP
ajtas-1788	47	5	this	this	PRON
ajtas-1788	47	6	is	be	AUX
ajtas-1788	47	7	on	on	ADP
ajtas-1788	47	8	the	the	DET
ajtas-1788	47	9	readers	reader	NOUN
ajtas-1788	47	10	'	'	PART
ajtas-1788	47	11	tables	table	NOUN
ajtas-1788	47	12	and	and	CCONJ
ajtas-1788	47	13	the	the	DET
ajtas-1788	47	14	ability	ability	NOUN
ajtas-1788	47	15	to	to	PART
ajtas-1788	47	16	use	use	VERB
ajtas-1788	47	17	computing	computing	NOUN
ajtas-1788	47	18	tools	tool	NOUN
ajtas-1788	47	19	is	be	AUX
ajtas-1788	47	20	aimed	aim	VERB
ajtas-1788	47	21	at	at	ADP
ajtas-1788	47	22	structuring	structuring	NOUN
ajtas-1788	47	23	skills	skill	NOUN
ajtas-1788	47	24	.	.	PUNCT
ajtas-1788	48	1	students	student	NOUN
ajtas-1788	48	2	can	can	AUX
ajtas-1788	48	3	independently	independently	ADV
ajtas-1788	48	4	as	as	ADV
ajtas-1788	48	5	much	much	ADJ
ajtas-1788	48	6	as	as	ADP
ajtas-1788	48	7	possible	possible	ADJ
ajtas-1788	48	8	determine	determine	VERB
ajtas-1788	48	9	the	the	DET
ajtas-1788	48	10	relationship	relationship	NOUN
ajtas-1788	48	11	of	of	ADP
ajtas-1788	48	12	law	law	NOUN
ajtas-1788	48	13	they	they	PRON
ajtas-1788	48	14	can	can	AUX
ajtas-1788	48	15	open	open	VERB
ajtas-1788	48	16	,	,	PUNCT
ajtas-1788	48	17	make	make	VERB
ajtas-1788	48	18	generalizations	generalization	NOUN
ajtas-1788	48	19	to	to	ADP
ajtas-1788	48	20	the	the	DET
ajtas-1788	48	21	extent	extent	NOUN
ajtas-1788	48	22	that	that	SCONJ
ajtas-1788	48	23	their	their	PRON
ajtas-1788	48	24	forces	force	NOUN
ajtas-1788	48	25	do	do	VERB
ajtas-1788	48	26	,	,	PUNCT
ajtas-1788	48	27	as	as	ADV
ajtas-1788	48	28	well	well	ADV
ajtas-1788	48	29	as	as	ADP
ajtas-1788	48	30	,	,	PUNCT
ajtas-1788	48	31	they	they	PRON
ajtas-1788	48	32	need	need	VERB
ajtas-1788	48	33	to	to	PART
ajtas-1788	48	34	learn	learn	VERB
ajtas-1788	48	35	to	to	PART
ajtas-1788	48	36	make	make	VERB
ajtas-1788	48	37	oral	oral	ADJ
ajtas-1788	48	38	and	and	CCONJ
ajtas-1788	48	39	written	write	VERB
ajtas-1788	48	40	conclusions	conclusion	NOUN
ajtas-1788	48	41	.	.	PUNCT
ajtas-1788	49	1	independent	independent	ADJ
ajtas-1788	49	2	and	and	CCONJ
ajtas-1788	49	3	control	control	NOUN
ajtas-1788	49	4	in	in	ADP
ajtas-1788	49	5	the	the	DET
ajtas-1788	49	6	methodology	methodology	NOUN
ajtas-1788	49	7	of	of	ADP
ajtas-1788	49	8	teaching	teach	VERB
ajtas-1788	49	9	mathematics	mathematic	NOUN
ajtas-1788	49	10	in	in	ADP
ajtas-1788	49	11	elementary	elementary	ADJ
ajtas-1788	49	12	school	school	NOUN
ajtas-1788	49	13	works	work	NOUN
ajtas-1788	49	14	,	,	PUNCT
ajtas-1788	49	15	effective	effective	ADJ
ajtas-1788	49	16	means	mean	NOUN
ajtas-1788	49	17	of	of	ADP
ajtas-1788	49	18	conducting	conduct	VERB
ajtas-1788	49	19	an	an	DET
ajtas-1788	49	20	individual	individual	ADJ
ajtas-1788	49	21	written	write	VERB
ajtas-1788	49	22	survey	survey	NOUN
ajtas-1788	49	23	of	of	ADP
ajtas-1788	49	24	students	student	NOUN
ajtas-1788	49	25	created	create	VERB
ajtas-1788	49	26	.	.	PUNCT
ajtas-1788	50	1	some	some	DET
ajtas-1788	50	2	didactic	didactic	ADJ
ajtas-1788	50	3	materials	material	NOUN
ajtas-1788	50	4	are	be	AUX
ajtas-1788	50	5	in	in	ADP
ajtas-1788	50	6	the	the	DET
ajtas-1788	50	7	limited	limited	ADJ
ajtas-1788	50	8	range	range	NOUN
ajtas-1788	50	9	of	of	ADP
ajtas-1788	50	10	the	the	DET
ajtas-1788	50	11	program	program	NOUN
ajtas-1788	50	12	to	to	PART
ajtas-1788	50	13	control	control	VERB
ajtas-1788	50	14	the	the	DET
ajtas-1788	50	15	appropriation	appropriation	NOUN
ajtas-1788	50	16	of	of	ADP
ajtas-1788	50	17	their	their	PRON
ajtas-1788	50	18	issues	issue	NOUN
ajtas-1788	50	19	in	in	ADP
ajtas-1788	50	20	the	the	DET
ajtas-1788	50	21	rating	rating	NOUN
ajtas-1788	50	22	system	system	NOUN
ajtas-1788	50	23	,	,	PUNCT
ajtas-1788	50	24	others	other	NOUN
ajtas-1788	50	25	primary	primary	ADJ
ajtas-1788	50	26	school	school	NOUN
ajtas-1788	50	27	is	be	AUX
ajtas-1788	50	28	designed	design	VERB
ajtas-1788	50	29	to	to	PART
ajtas-1788	50	30	control	control	VERB
ajtas-1788	50	31	all	all	DET
ajtas-1788	50	32	major	major	ADJ
ajtas-1788	50	33	subjects	subject	NOUN
ajtas-1788	50	34	of	of	ADP
ajtas-1788	50	35	the	the	DET
ajtas-1788	50	36	mathematics	mathematic	NOUN
ajtas-1788	50	37	course	course	NOUN
ajtas-1788	50	38	.	.	PUNCT
ajtas-1788	51	1	in	in	ADP
ajtas-1788	51	2	some	some	DET
ajtas-1788	51	3	didactic	didactic	ADJ
ajtas-1788	51	4	materials	material	NOUN
ajtas-1788	51	5	(	(	PUNCT
ajtas-1788	51	6	especially	especially	ADV
ajtas-1788	51	7	designed	design	VERB
ajtas-1788	51	8	for	for	ADP
ajtas-1788	51	9	a	a	DET
ajtas-1788	51	10	low	low	ADJ
ajtas-1788	51	11	-	-	PUNCT
ajtas-1788	51	12	complete	complete	ADJ
ajtas-1788	51	13	school	school	NOUN
ajtas-1788	51	14	)	)	PUNCT
ajtas-1788	51	15	.	.	PUNCT
ajtas-1788	52	1	in	in	ADP
ajtas-1788	52	2	elementary	elementary	ADJ
ajtas-1788	52	3	school	school	NOUN
ajtas-1788	52	4	mathematics	mathematic	NOUN
ajtas-1788	52	5	is	be	AUX
ajtas-1788	52	6	the	the	DET
ajtas-1788	52	7	stratification	stratification	NOUN
ajtas-1788	52	8	of	of	ADP
ajtas-1788	52	9	general	general	ADJ
ajtas-1788	52	10	assignments	assignment	NOUN
ajtas-1788	52	11	for	for	ADP
ajtas-1788	52	12	all	all	DET
ajtas-1788	52	13	didactic	didactic	ADJ
ajtas-1788	52	14	materials	material	NOUN
ajtas-1788	52	15	by	by	ADP
ajtas-1788	52	16	complexity	complexity	NOUN
ajtas-1788	52	17	.	.	PUNCT
ajtas-1788	53	1	this	this	DET
ajtas-1788	53	2	material	material	NOUN
ajtas-1788	53	3	also	also	ADV
ajtas-1788	53	4	testifies	testify	VERB
ajtas-1788	53	5	to	to	ADP
ajtas-1788	53	6	the	the	DET
ajtas-1788	53	7	fact	fact	NOUN
ajtas-1788	53	8	that	that	SCONJ
ajtas-1788	53	9	,	,	PUNCT
ajtas-1788	53	10	according	accord	VERB
ajtas-1788	53	11	to	to	ADP
ajtas-1788	53	12	the	the	DET
ajtas-1788	53	13	idea	idea	NOUN
ajtas-1788	53	14	of	of	ADP
ajtas-1788	53	15	the	the	DET
ajtas-1788	53	16	compilers	compiler	NOUN
ajtas-1788	53	17	,	,	PUNCT
ajtas-1788	53	18	he	he	PRON
ajtas-1788	53	19	mastered	master	VERB
ajtas-1788	53	20	some	some	DET
ajtas-1788	53	21	method	method	NOUN
ajtas-1788	53	22	of	of	ADP
ajtas-1788	53	23	assignment	assignment	NOUN
ajtas-1788	53	24	on	on	ADP
ajtas-1788	53	25	a	a	DET
ajtas-1788	53	26	particular	particular	ADJ
ajtas-1788	53	27	topic	topic	NOUN
ajtas-1788	53	28	to	to	ADP
ajtas-1788	53	29	the	the	DET
ajtas-1788	53	30	extent	extent	NOUN
ajtas-1788	53	31	that	that	SCONJ
ajtas-1788	53	32	it	it	PRON
ajtas-1788	53	33	was	be	AUX
ajtas-1788	53	34	fully	fully	ADV
ajtas-1788	53	35	determined	determine	VERB
ajtas-1788	53	36	.	.	PUNCT
ajtas-1788	54	1	in	in	ADP
ajtas-1788	54	2	the	the	DET
ajtas-1788	54	3	methodology	methodology	NOUN
ajtas-1788	54	4	of	of	ADP
ajtas-1788	54	5	teaching	teaching	NOUN
ajtas-1788	54	6	mathematics	mathematic	NOUN
ajtas-1788	54	7	,	,	PUNCT
ajtas-1788	54	8	the	the	DET
ajtas-1788	54	9	content	content	NOUN
ajtas-1788	54	10	of	of	ADP
ajtas-1788	54	11	the	the	DET
ajtas-1788	54	12	concept	concept	NOUN
ajtas-1788	54	13	of	of	ADP
ajtas-1788	54	14	“	"	PUNCT
ajtas-1788	54	15	the	the	DET
ajtas-1788	54	16	degree	degree	NOUN
ajtas-1788	54	17	of	of	ADP
ajtas-1788	54	18	assimilation	assimilation	NOUN
ajtas-1788	54	19	of	of	ADP
ajtas-1788	54	20	educational	educational	ADJ
ajtas-1788	54	21	material	material	NOUN
ajtas-1788	54	22	”	"	PUNCT
ajtas-1788	54	23	is	be	AUX
ajtas-1788	54	24	not	not	PART
ajtas-1788	54	25	fully	fully	ADV
ajtas-1788	54	26	revealed.in	revealed.in	VERB
ajtas-1788	54	27	the	the	DET
ajtas-1788	54	28	manuals	manual	NOUN
ajtas-1788	54	29	for	for	ADP
ajtas-1788	54	30	teachers	teacher	NOUN
ajtas-1788	54	31	,	,	PUNCT
ajtas-1788	54	32	the	the	DET
ajtas-1788	54	33	criteria	criterion	NOUN
ajtas-1788	54	34	that	that	PRON
ajtas-1788	54	35	allow	allow	VERB
ajtas-1788	54	36	you	you	PRON
ajtas-1788	54	37	to	to	PART
ajtas-1788	54	38	determine	determine	VERB
ajtas-1788	54	39	what	what	DET
ajtas-1788	54	40	level	level	NOUN
ajtas-1788	54	41	of	of	ADP
ajtas-1788	54	42	didactic	didactic	ADJ
ajtas-1788	54	43	material	material	NOUN
ajtas-1788	54	44	this	this	PRON
ajtas-1788	54	45	or	or	CCONJ
ajtas-1788	54	46	that	that	SCONJ
ajtas-1788	54	47	assignment	assignment	NOUN
ajtas-1788	54	48	corresponds	correspond	VERB
ajtas-1788	54	49	to	to	PART
ajtas-1788	54	50	are	be	AUX
ajtas-1788	54	51	not	not	PART
ajtas-1788	54	52	clear	clear	ADJ
ajtas-1788	54	53	.	.	PUNCT
ajtas-1788	55	1	in	in	ADP
ajtas-1788	55	2	practice	practice	NOUN
ajtas-1788	55	3	,	,	PUNCT
ajtas-1788	55	4	teachers	teacher	NOUN
ajtas-1788	55	5	often	often	ADV
ajtas-1788	55	6	say	say	VERB
ajtas-1788	55	7	that	that	SCONJ
ajtas-1788	55	8	the	the	DET
ajtas-1788	55	9	methods	method	NOUN
ajtas-1788	55	10	of	of	ADP
ajtas-1788	55	11	one	one	NUM
ajtas-1788	55	12	assignment	assignment	NOUN
ajtas-1788	55	13	are	be	AUX
ajtas-1788	55	14	simpler	simple	ADJ
ajtas-1788	55	15	or	or	CCONJ
ajtas-1788	55	16	more	more	ADV
ajtas-1788	55	17	complex	complex	ADJ
ajtas-1788	55	18	than	than	ADP
ajtas-1788	55	19	the	the	DET
ajtas-1788	55	20	others	other	NOUN
ajtas-1788	55	21	.	.	PUNCT
ajtas-1788	56	1	in	in	ADP
ajtas-1788	56	2	addition	addition	NOUN
ajtas-1788	56	3	,	,	PUNCT
ajtas-1788	56	4	didactic	didactic	ADJ
ajtas-1788	56	5	no	no	ADV
ajtas-1788	56	6	matter	matter	ADV
ajtas-1788	56	7	how	how	SCONJ
ajtas-1788	56	8	artistically	artistically	ADV
ajtas-1788	56	9	the	the	DET
ajtas-1788	56	10	materials	material	NOUN
ajtas-1788	56	11	are	be	AUX
ajtas-1788	56	12	composed	compose	VERB
ajtas-1788	56	13	,	,	PUNCT
ajtas-1788	56	14	their	their	PRON
ajtas-1788	56	15	content	content	NOUN
ajtas-1788	56	16	and	and	CCONJ
ajtas-1788	56	17	no	no	ADV
ajtas-1788	56	18	matter	matter	ADV
ajtas-1788	56	19	how	how	SCONJ
ajtas-1788	56	20	productive	productive	ADJ
ajtas-1788	56	21	and	and	CCONJ
ajtas-1788	56	22	deep	deep	ADJ
ajtas-1788	56	23	ideas	idea	NOUN
ajtas-1788	56	24	are	be	AUX
ajtas-1788	56	25	implemented	implement	VERB
ajtas-1788	56	26	in	in	ADP
ajtas-1788	56	27	the	the	DET
ajtas-1788	56	28	structure	structure	NOUN
ajtas-1788	56	29	,	,	PUNCT
ajtas-1788	56	30	they	they	PRON
ajtas-1788	56	31	are	be	AUX
ajtas-1788	56	32	still	still	ADV
ajtas-1788	56	33	it	it	PRON
ajtas-1788	56	34	is	be	AUX
ajtas-1788	56	35	not	not	PART
ajtas-1788	56	36	able	able	ADJ
ajtas-1788	56	37	to	to	PART
ajtas-1788	56	38	quickly	quickly	ADV
ajtas-1788	56	39	solve	solve	VERB
ajtas-1788	56	40	all	all	DET
ajtas-1788	56	41	methodological	methodological	ADJ
ajtas-1788	56	42	tasks	task	NOUN
ajtas-1788	56	43	,	,	PUNCT
ajtas-1788	56	44	since	since	SCONJ
ajtas-1788	56	45	no	no	DET
ajtas-1788	56	46	the	the	DET
ajtas-1788	56	47	teaching	teaching	NOUN
ajtas-1788	56	48	machine	machine	NOUN
ajtas-1788	56	49	can	can	AUX
ajtas-1788	56	50	not	not	PART
ajtas-1788	56	51	replace	replace	VERB
ajtas-1788	56	52	the	the	DET
ajtas-1788	56	53	teacher	teacher	NOUN
ajtas-1788	56	54	's	's	PART
ajtas-1788	56	55	intuition	intuition	NOUN
ajtas-1788	56	56	,	,	PUNCT
ajtas-1788	56	57	that	that	ADV
ajtas-1788	56	58	is	is	ADV
ajtas-1788	56	59	,	,	PUNCT
ajtas-1788	56	60	the	the	DET
ajtas-1788	56	61	feeling	feeling	NOUN
ajtas-1788	56	62	.	.	PUNCT
ajtas-1788	57	1	references	reference	NOUN
ajtas-1788	57	2	1	1	NUM
ajtas-1788	57	3	.	.	PUNCT
ajtas-1788	58	1	zhumayev	zhumayev	PROPN
ajtas-1788	58	2	m.e	m.e	PROPN
ajtas-1788	58	3	.	.	PROPN
ajtas-1788	58	4	etc	etc	X
ajtas-1788	58	5	.	.	X
ajtas-1788	58	6	methodology	methodology	NOUN
ajtas-1788	58	7	of	of	ADP
ajtas-1788	58	8	teaching	teach	VERB
ajtas-1788	58	9	mathematics	mathematic	NOUN
ajtas-1788	58	10	.	.	PUNCT
ajtas-1788	59	1	t.	t.	NOUN
ajtas-1788	59	2	:	:	PUNCT
ajtas-1788	60	1	science	science	NOUN
ajtas-1788	60	2	,	,	PUNCT
ajtas-1788	60	3	2003	2003	NUM
ajtas-1788	60	4	.	.	PUNCT
ajtas-1788	61	1	2	2	X
ajtas-1788	61	2	.	.	X
ajtas-1788	61	3	ahmedov	ahmedov	PROPN
ajtas-1788	61	4	m.	m.	PROPN
ajtas-1788	61	5	etc	etc	X
ajtas-1788	61	6	.	.	X
ajtas-1788	61	7	4th-5th	4th-5th	NUM
ajtas-1788	61	8	grade	grade	NOUN
ajtas-1788	61	9	math	math	NOUN
ajtas-1788	61	10	textbook	textbook	NOUN
ajtas-1788	61	11	.	.	PUNCT
ajtas-1788	62	1	t.	t.	NOUN
ajtas-1788	62	2	:	:	PUNCT
ajtas-1788	62	3	spirituality	spirituality	NOUN
ajtas-1788	62	4	,	,	PUNCT
ajtas-1788	62	5	2003	2003	NUM
ajtas-1788	62	6	.	.	PUNCT
ajtas-1788	63	1	3	3	X
ajtas-1788	63	2	.	.	X
ajtas-1788	63	3	bikboeva	bikboeva	PROPN
ajtas-1788	63	4	n.u	n.u	PROPN
ajtas-1788	63	5	.	.	PROPN
ajtas-1788	63	6	etc	etc	X
ajtas-1788	63	7	.	.	X
ajtas-1788	63	8	teaching	teach	VERB
ajtas-1788	63	9	mathematics	mathematic	NOUN
ajtas-1788	63	10	in	in	ADP
ajtas-1788	63	11	elementary	elementary	ADJ
ajtas-1788	63	12	grades	grade	NOUN
ajtas-1788	63	13	methodology	methodology	NOUN
ajtas-1788	63	14	.	.	PUNCT
ajtas-1788	64	1	t.	t.	NOUN
ajtas-1788	64	2	:	:	PUNCT
ajtas-1788	64	3	teacher	teacher	NOUN
ajtas-1788	64	4	,	,	PUNCT
ajtas-1788	64	5	1996	1996	NUM
ajtas-1788	64	6	.	.	PUNCT
