id	sid	tid	token	lemma	pos
stem-5537	1	1	124	124	NUM
stem-5537	1	2	american	american	ADJ
stem-5537	1	3	journal	journal	PROPN
stem-5537	1	4	of	of	ADP
stem-5537	1	5	language	language	NOUN
stem-5537	1	6	,	,	PUNCT
stem-5537	1	7	literacy	literacy	NOUN
stem-5537	1	8	and	and	CCONJ
stem-5537	1	9	learning	learn	VERB
stem-5537	1	10	in	in	ADP
stem-5537	1	11	stem	stem	NOUN
stem-5537	1	12	education	education	NOUN
stem-5537	1	13	www	www	PROPN
stem-5537	1	14	.	.	PROPN
stem-5537	2	1	grnjournal.us	grnjournal.us	PROPN
stem-5537	2	2	american	american	PROPN
stem-5537	2	3	journal	journal	PROPN
stem-5537	2	4	of	of	ADP
stem-5537	2	5	language	language	NOUN
stem-5537	2	6	,	,	PUNCT
stem-5537	2	7	literacy	literacy	NOUN
stem-5537	2	8	and	and	CCONJ
stem-5537	2	9	learning	learn	VERB
stem-5537	2	10	in	in	ADP
stem-5537	2	11	stem	stem	NOUN
stem-5537	2	12	education	education	NOUN
stem-5537	2	13	volume	volume	NOUN
stem-5537	2	14	02	02	NUM
stem-5537	2	15	,	,	PUNCT
stem-5537	2	16	issue	issue	NOUN
stem-5537	2	17	07	07	NUM
stem-5537	2	18	,	,	PUNCT
stem-5537	2	19	2024	2024	NUM
stem-5537	2	20	issn	issn	X
stem-5537	2	21	(	(	PUNCT
stem-5537	2	22	e	e	NOUN
stem-5537	2	23	):	):	PUNCT
stem-5537	2	24	2993	2993	NUM
stem-5537	2	25	-	-	SYM
stem-5537	2	26	2769	2769	NUM
stem-5537	2	27	methods	method	NOUN
stem-5537	2	28	of	of	ADP
stem-5537	2	29	storing	store	VERB
stem-5537	2	30	the	the	DET
stem-5537	2	31	values	value	NOUN
stem-5537	2	32	of	of	ADP
stem-5537	2	33	trigonometric	trigonometric	ADJ
stem-5537	2	34	functions	function	NOUN
stem-5537	2	35	xonqulov	xonqulov	VERB
stem-5537	2	36	ulugʻbek	ulugʻbek	ADJ
stem-5537	2	37	xursanaliyevich	xursanaliyevich	PROPN
stem-5537	2	38	,	,	PUNCT
stem-5537	2	39	ph.d	ph.d	PROPN
stem-5537	2	40	fargona	fargona	PROPN
stem-5537	2	41	davlat	davlat	PROPN
stem-5537	2	42	universiteti	universiteti	ADJ
stem-5537	2	43	dotsenti	dotsenti	PROPN
stem-5537	2	44	annotation	annotation	PROPN
stem-5537	2	45	:	:	PUNCT
stem-5537	2	46	the	the	DET
stem-5537	2	47	article	article	NOUN
stem-5537	2	48	provides	provide	VERB
stem-5537	2	49	guidelines	guideline	NOUN
stem-5537	2	50	for	for	ADP
stem-5537	2	51	memorizing	memorize	VERB
stem-5537	2	52	the	the	DET
stem-5537	2	53	content	content	NOUN
stem-5537	2	54	of	of	ADP
stem-5537	2	55	concepts	concept	NOUN
stem-5537	2	56	when	when	SCONJ
stem-5537	2	57	teaching	teach	VERB
stem-5537	2	58	trigonometric	trigonometric	ADJ
stem-5537	2	59	materials	material	NOUN
stem-5537	2	60	to	to	ADP
stem-5537	2	61	schoolchildren	schoolchildren	NOUN
stem-5537	2	62	,	,	PUNCT
stem-5537	2	63	in	in	ADP
stem-5537	2	64	particular	particular	ADJ
stem-5537	2	65	,	,	PUNCT
stem-5537	2	66	two	two	NUM
stem-5537	2	67	methods	method	NOUN
stem-5537	2	68	for	for	ADP
stem-5537	2	69	memorizing	memorize	VERB
stem-5537	2	70	tabular	tabular	NOUN
stem-5537	2	71	values	value	NOUN
stem-5537	2	72	of	of	ADP
stem-5537	2	73	trigonometric	trigonometric	ADJ
stem-5537	2	74	functions	function	NOUN
stem-5537	2	75	.	.	PUNCT
stem-5537	3	1	there	there	PRON
stem-5537	3	2	are	be	VERB
stem-5537	3	3	comments	comment	NOUN
stem-5537	3	4	on	on	ADP
stem-5537	3	5	the	the	DET
stem-5537	3	6	benefits	benefit	NOUN
stem-5537	3	7	of	of	ADP
stem-5537	3	8	the	the	DET
stem-5537	3	9	trigonometry	trigonometry	NOUN
stem-5537	3	10	in	in	ADP
stem-5537	3	11	the	the	DET
stem-5537	3	12	palm	palm	NOUN
stem-5537	3	13	and	and	CCONJ
stem-5537	3	14	diagonal	diagonal	ADJ
stem-5537	3	15	table	table	NOUN
stem-5537	3	16	method	method	NOUN
stem-5537	3	17	.	.	PUNCT
stem-5537	4	1	in	in	ADP
stem-5537	4	2	addition	addition	NOUN
stem-5537	4	3	,	,	PUNCT
stem-5537	4	4	the	the	DET
stem-5537	4	5	article	article	NOUN
stem-5537	4	6	describes	describe	VERB
stem-5537	4	7	illustrative	illustrative	ADJ
stem-5537	4	8	and	and	CCONJ
stem-5537	4	9	cognitive	cognitive	ADJ
stem-5537	4	10	methods	method	NOUN
stem-5537	4	11	and	and	CCONJ
stem-5537	4	12	mechanisms	mechanism	NOUN
stem-5537	4	13	of	of	ADP
stem-5537	4	14	mnemonic	mnemonic	ADJ
stem-5537	4	15	movement	movement	NOUN
stem-5537	4	16	in	in	ADP
stem-5537	4	17	the	the	DET
stem-5537	4	18	development	development	NOUN
stem-5537	4	19	of	of	ADP
stem-5537	4	20	logical	logical	ADJ
stem-5537	4	21	memory	memory	NOUN
stem-5537	4	22	.	.	PUNCT
stem-5537	5	1	the	the	DET
stem-5537	5	2	role	role	NOUN
stem-5537	5	3	of	of	ADP
stem-5537	5	4	memorizing	memorize	VERB
stem-5537	5	5	mathematical	mathematical	ADJ
stem-5537	5	6	concepts	concept	NOUN
stem-5537	5	7	in	in	ADP
stem-5537	5	8	revealing	reveal	VERB
stem-5537	5	9	the	the	DET
stem-5537	5	10	mechanism	mechanism	NOUN
stem-5537	5	11	of	of	ADP
stem-5537	5	12	logical	logical	ADJ
stem-5537	5	13	constructions	construction	NOUN
stem-5537	5	14	and	and	CCONJ
stem-5537	5	15	the	the	DET
stem-5537	5	16	development	development	NOUN
stem-5537	5	17	of	of	ADP
stem-5537	5	18	students	student	NOUN
stem-5537	5	19	'	'	PART
stem-5537	5	20	skills	skill	NOUN
stem-5537	5	21	to	to	AUX
stem-5537	5	22	form	form	VERB
stem-5537	5	23	and	and	CCONJ
stem-5537	5	24	prove	prove	VERB
stem-5537	5	25	mathematical	mathematical	ADJ
stem-5537	5	26	sentences	sentence	NOUN
stem-5537	5	27	(	(	PUNCT
stem-5537	5	28	axioms	axiom	NOUN
stem-5537	5	29	,	,	PUNCT
stem-5537	5	30	statements	statement	NOUN
stem-5537	5	31	and	and	CCONJ
stem-5537	5	32	theorems	theorem	NOUN
stem-5537	5	33	)	)	PUNCT
stem-5537	5	34	is	be	AUX
stem-5537	5	35	determined	determine	VERB
stem-5537	5	36	by	by	ADP
stem-5537	5	37	illustrative	illustrative	ADJ
stem-5537	5	38	and	and	CCONJ
stem-5537	5	39	cognitive	cognitive	ADJ
stem-5537	5	40	methods	method	NOUN
stem-5537	5	41	,	,	PUNCT
stem-5537	5	42	such	such	ADJ
stem-5537	5	43	as	as	ADP
stem-5537	5	44	"	"	PUNCT
stem-5537	5	45	trigonometry	trigonometry	NOUN
stem-5537	5	46	in	in	ADP
stem-5537	5	47	the	the	DET
stem-5537	5	48	palm	palm	NOUN
stem-5537	5	49	of	of	ADP
stem-5537	5	50	your	your	PRON
stem-5537	5	51	hand	hand	NOUN
stem-5537	5	52	"	"	PUNCT
stem-5537	5	53	and	and	CCONJ
stem-5537	5	54	"	"	PUNCT
stem-5537	5	55	diagonal	diagonal	ADJ
stem-5537	5	56	table	table	NOUN
stem-5537	5	57	"	"	PUNCT
stem-5537	5	58	.	.	PUNCT
stem-5537	6	1	key	key	ADJ
stem-5537	6	2	words	word	NOUN
stem-5537	6	3	:	:	PUNCT
stem-5537	6	4	trigonometry	trigonometry	NOUN
stem-5537	6	5	,	,	PUNCT
stem-5537	6	6	mnemonic	mnemonic	ADJ
stem-5537	6	7	movement	movement	NOUN
stem-5537	6	8	,	,	PUNCT
stem-5537	6	9	illustrative	illustrative	ADJ
stem-5537	6	10	and	and	CCONJ
stem-5537	6	11	cognitive	cognitive	ADJ
stem-5537	6	12	methods	method	NOUN
stem-5537	6	13	,	,	PUNCT
stem-5537	6	14	axioms	axiom	NOUN
stem-5537	6	15	,	,	PUNCT
stem-5537	6	16	pospulat	pospulat	NOUN
stem-5537	6	17	and	and	CCONJ
stem-5537	6	18	theorems	theorem	NOUN
stem-5537	6	19	,	,	PUNCT
stem-5537	6	20	methods	method	NOUN
stem-5537	6	21	of	of	ADP
stem-5537	6	22	scientific	scientific	ADJ
stem-5537	6	23	research	research	NOUN
stem-5537	6	24	and	and	CCONJ
stem-5537	6	25	inference	inference	NOUN
stem-5537	6	26	.	.	PUNCT
stem-5537	7	1	introduction	introduction	NOUN
stem-5537	7	2	:	:	PUNCT
stem-5537	7	3	trigonometry	trigonometry	NOUN
stem-5537	7	4	is	be	AUX
stem-5537	7	5	of	of	ADP
stem-5537	7	6	great	great	ADJ
stem-5537	7	7	importance	importance	NOUN
stem-5537	7	8	in	in	ADP
stem-5537	7	9	the	the	DET
stem-5537	7	10	school	school	NOUN
stem-5537	7	11	mathematics	mathematics	NOUN
stem-5537	7	12	course	course	NOUN
stem-5537	7	13	.	.	PUNCT
stem-5537	8	1	trigonometric	trigonometric	ADJ
stem-5537	8	2	issues	issue	NOUN
stem-5537	8	3	occupy	occupy	VERB
stem-5537	8	4	a	a	DET
stem-5537	8	5	significant	significant	ADJ
stem-5537	8	6	place	place	NOUN
stem-5537	8	7	in	in	ADP
stem-5537	8	8	higher	high	ADJ
stem-5537	8	9	education	education	NOUN
stem-5537	8	10	entrance	entrance	NOUN
stem-5537	8	11	tests	test	NOUN
stem-5537	8	12	and	and	CCONJ
stem-5537	8	13	mathematics	mathematic	NOUN
stem-5537	8	14	olympiads	olympiad	NOUN
stem-5537	8	15	.	.	PUNCT
stem-5537	9	1	while	while	SCONJ
stem-5537	9	2	this	this	PRON
stem-5537	9	3	is	be	AUX
stem-5537	9	4	the	the	DET
stem-5537	9	5	case	case	NOUN
stem-5537	9	6	,	,	PUNCT
stem-5537	9	7	schoolchildren	schoolchildren	NOUN
stem-5537	9	8	have	have	VERB
stem-5537	9	9	difficulty	difficulty	NOUN
stem-5537	9	10	learning	learn	VERB
stem-5537	9	11	trigonometry	trigonometry	NOUN
stem-5537	9	12	.	.	PUNCT
stem-5537	10	1	the	the	DET
stem-5537	10	2	reasons	reason	NOUN
stem-5537	10	3	for	for	ADP
stem-5537	10	4	this	this	PRON
stem-5537	10	5	depend	depend	VERB
stem-5537	10	6	on	on	ADP
stem-5537	10	7	many	many	ADJ
stem-5537	10	8	factors	factor	NOUN
stem-5537	10	9	,	,	PUNCT
stem-5537	10	10	the	the	DET
stem-5537	10	11	main	main	ADJ
stem-5537	10	12	thing	thing	NOUN
stem-5537	10	13	is	be	AUX
stem-5537	10	14	not	not	PART
stem-5537	10	15	to	to	PART
stem-5537	10	16	memorize	memorize	VERB
stem-5537	10	17	the	the	DET
stem-5537	10	18	values	value	NOUN
stem-5537	10	19	of	of	ADP
stem-5537	10	20	trigonometric	trigonometric	ADJ
stem-5537	10	21	formulas	formula	NOUN
stem-5537	10	22	and	and	CCONJ
stem-5537	10	23	trigonometric	trigonometric	ADJ
stem-5537	10	24	functions	function	NOUN
stem-5537	10	25	,	,	PUNCT
stem-5537	10	26	which	which	PRON
stem-5537	10	27	can	can	AUX
stem-5537	10	28	not	not	PART
stem-5537	10	29	ensure	ensure	VERB
stem-5537	10	30	the	the	DET
stem-5537	10	31	consistency	consistency	NOUN
stem-5537	10	32	and	and	CCONJ
stem-5537	10	33	continuity	continuity	NOUN
stem-5537	10	34	of	of	ADP
stem-5537	10	35	mathematical	mathematical	ADJ
stem-5537	10	36	knowledge	knowledge	NOUN
stem-5537	10	37	.	.	PUNCT
stem-5537	11	1	one	one	NUM
stem-5537	11	2	of	of	ADP
stem-5537	11	3	the	the	DET
stem-5537	11	4	main	main	ADJ
stem-5537	11	5	pedagogical	pedagogical	ADJ
stem-5537	11	6	tasks	task	NOUN
stem-5537	11	7	of	of	ADP
stem-5537	11	8	the	the	DET
stem-5537	11	9	teacher	teacher	NOUN
stem-5537	11	10	is	be	AUX
stem-5537	11	11	the	the	DET
stem-5537	11	12	development	development	NOUN
stem-5537	11	13	of	of	ADP
stem-5537	11	14	students	student	NOUN
stem-5537	11	15	'	'	PART
stem-5537	11	16	thinking	thinking	NOUN
stem-5537	11	17	and	and	CCONJ
stem-5537	11	18	the	the	DET
stem-5537	11	19	implementation	implementation	NOUN
stem-5537	11	20	of	of	ADP
stem-5537	11	21	this	this	DET
stem-5537	11	22	process	process	NOUN
stem-5537	11	23	through	through	ADP
stem-5537	11	24	various	various	ADJ
stem-5537	11	25	illustrative	illustrative	ADJ
stem-5537	11	26	-	-	PUNCT
stem-5537	11	27	cognitive	cognitive	ADJ
stem-5537	11	28	methods	method	NOUN
stem-5537	11	29	[	[	X
stem-5537	11	30	1	1	NUM
stem-5537	11	31	]	]	PUNCT
stem-5537	11	32	.	.	PUNCT
stem-5537	12	1	the	the	DET
stem-5537	12	2	main	main	ADJ
stem-5537	12	3	methodology	methodology	NOUN
stem-5537	12	4	for	for	ADP
stem-5537	12	5	the	the	DET
stem-5537	12	6	study	study	NOUN
stem-5537	12	7	of	of	ADP
stem-5537	12	8	trigonometry	trigonometry	NOUN
stem-5537	12	9	is	be	AUX
stem-5537	12	10	the	the	DET
stem-5537	12	11	study	study	NOUN
stem-5537	12	12	of	of	ADP
stem-5537	12	13	trigonometric	trigonometric	ADJ
stem-5537	12	14	functions	function	NOUN
stem-5537	12	15	with	with	ADP
stem-5537	12	16	a	a	DET
stem-5537	12	17	unit	unit	NOUN
stem-5537	12	18	circle	circle	NOUN
stem-5537	12	19	,	,	PUNCT
stem-5537	12	20	as	as	ADV
stem-5537	12	21	well	well	ADV
stem-5537	12	22	as	as	ADP
stem-5537	12	23	with	with	ADP
stem-5537	12	24	illustrative	illustrative	ADJ
stem-5537	12	25	interpretation	interpretation	NOUN
stem-5537	12	26	,	,	PUNCT
stem-5537	12	27	and	and	CCONJ
stem-5537	12	28	the	the	DET
stem-5537	12	29	drawing	drawing	NOUN
stem-5537	12	30	of	of	ADP
stem-5537	12	31	their	their	PRON
stem-5537	12	32	graphs	graph	NOUN
stem-5537	12	33	,	,	PUNCT
stem-5537	12	34	the	the	DET
stem-5537	12	35	visual	visual	ADJ
stem-5537	12	36	presentation	presentation	NOUN
stem-5537	12	37	of	of	ADP
stem-5537	12	38	information	information	NOUN
stem-5537	12	39	.	.	PUNCT
stem-5537	13	1	therefore	therefore	ADV
stem-5537	13	2	,	,	PUNCT
stem-5537	13	3	when	when	SCONJ
stem-5537	13	4	organizing	organize	VERB
stem-5537	13	5	the	the	DET
stem-5537	13	6	course	course	NOUN
stem-5537	13	7	process	process	NOUN
stem-5537	13	8	,	,	PUNCT
stem-5537	13	9	it	it	PRON
stem-5537	13	10	is	be	AUX
stem-5537	13	11	necessary	necessary	ADJ
stem-5537	13	12	to	to	PART
stem-5537	13	13	take	take	VERB
stem-5537	13	14	into	into	ADP
stem-5537	13	15	account	account	NOUN
stem-5537	13	16	methods	method	NOUN
stem-5537	13	17	and	and	CCONJ
stem-5537	13	18	rules	rule	NOUN
stem-5537	13	19	aimed	aim	VERB
stem-5537	13	20	at	at	ADP
stem-5537	13	21	interpreting	interpret	VERB
stem-5537	13	22	the	the	DET
stem-5537	13	23	principles	principle	NOUN
stem-5537	13	24	of	of	ADP
stem-5537	13	25	exhibitionism	exhibitionism	NOUN
stem-5537	13	26	.	.	PUNCT
stem-5537	14	1	literature	literature	PROPN
stem-5537	14	2	review	review	PROPN
stem-5537	14	3	:	:	PUNCT
stem-5537	14	4	the	the	DET
stem-5537	14	5	school	school	NOUN
stem-5537	14	6	offers	offer	VERB
stem-5537	14	7	developments	development	NOUN
stem-5537	14	8	by	by	ADP
stem-5537	14	9	many	many	ADJ
stem-5537	14	10	researchers	researcher	NOUN
stem-5537	14	11	on	on	ADP
stem-5537	14	12	methodological	methodological	ADJ
stem-5537	14	13	problems	problem	NOUN
stem-5537	14	14	of	of	ADP
stem-5537	14	15	the	the	DET
stem-5537	14	16	study	study	NOUN
stem-5537	14	17	of	of	ADP
stem-5537	14	18	trigonometry	trigonometry	NOUN
stem-5537	14	19	.	.	PUNCT
stem-5537	15	1	for	for	ADP
stem-5537	15	2	example	example	NOUN
stem-5537	15	3	,	,	PUNCT
stem-5537	15	4	n.i.popov	n.i.popov	PROPN
stem-5537	15	5	,	,	PUNCT
stem-5537	15	6	a.n	a.n	PROPN
stem-5537	15	7	.	.	PROPN
stem-5537	15	8	marasanov	marasanov	PROPN
stem-5537	15	9	's	's	PART
stem-5537	15	10	research	research	NOUN
stem-5537	15	11	focuses	focus	VERB
stem-5537	15	12	on	on	ADP
stem-5537	15	13	the	the	DET
stem-5537	15	14	importance	importance	NOUN
stem-5537	15	15	of	of	ADP
stem-5537	15	16	a	a	DET
stem-5537	15	17	methodological	methodological	ADJ
stem-5537	15	18	approach	approach	NOUN
stem-5537	15	19	to	to	ADP
stem-5537	15	20	teaching	teaching	NOUN
stem-5537	15	21	trigonometry	trigonometry	NOUN
stem-5537	15	22	.	.	PUNCT
stem-5537	16	1	in	in	ADP
stem-5537	16	2	this	this	DET
stem-5537	16	3	case	case	NOUN
stem-5537	16	4	,	,	PUNCT
stem-5537	16	5	proposals	proposal	NOUN
stem-5537	16	6	are	be	AUX
stem-5537	16	7	made	make	VERB
stem-5537	16	8	for	for	ADP
stem-5537	16	9	the	the	DET
stem-5537	16	10	methodological	methodological	ADJ
stem-5537	16	11	support	support	NOUN
stem-5537	16	12	of	of	ADP
stem-5537	16	13	educational	educational	ADJ
stem-5537	16	14	literature	literature	NOUN
stem-5537	16	15	and	and	CCONJ
stem-5537	16	16	its	its	PRON
stem-5537	16	17	improvement	improvement	NOUN
stem-5537	16	18	[	[	X
stem-5537	16	19	4	4	NUM
stem-5537	16	20	]	]	PUNCT
stem-5537	16	21	.	.	PUNCT
stem-5537	17	1	a.g	a.g	PROPN
stem-5537	17	2	.	.	PROPN
stem-5537	17	3	mordkovich	mordkovich	PROPN
stem-5537	17	4	,	,	PUNCT
stem-5537	17	5	on	on	ADP
stem-5537	17	6	the	the	DET
stem-5537	17	7	other	other	ADJ
stem-5537	17	8	hand	hand	NOUN
stem-5537	17	9	,	,	PUNCT
stem-5537	17	10	offers	offer	VERB
stem-5537	17	11	a	a	DET
stem-5537	17	12	unique	unique	ADJ
stem-5537	17	13	approach	approach	NOUN
stem-5537	17	14	to	to	ADP
stem-5537	17	15	the	the	DET
stem-5537	17	16	study	study	NOUN
stem-5537	17	17	of	of	ADP
stem-5537	17	18	trigonometry	trigonometry	NOUN
stem-5537	17	19	.	.	PUNCT
stem-5537	18	1	in	in	ADP
stem-5537	18	2	his	his	PRON
stem-5537	18	3	opinion	opinion	NOUN
stem-5537	18	4	,	,	PUNCT
stem-5537	18	5	the	the	DET
stem-5537	18	6	study	study	NOUN
stem-5537	18	7	of	of	ADP
stem-5537	18	8	trigonometry	trigonometry	NOUN
stem-5537	18	9	should	should	AUX
stem-5537	18	10	be	be	AUX
stem-5537	18	11	carried	carry	VERB
stem-5537	18	12	out	out	ADP
stem-5537	18	13	on	on	ADP
stem-5537	18	14	the	the	DET
stem-5537	18	15	basis	basis	NOUN
stem-5537	18	16	of	of	ADP
stem-5537	18	17	the	the	DET
stem-5537	18	18	following	follow	VERB
stem-5537	18	19	sequence	sequence	NOUN
stem-5537	18	20	:	:	PUNCT
stem-5537	18	21	1	1	X
stem-5537	18	22	)	)	PUNCT
stem-5537	18	23	the	the	DET
stem-5537	18	24	study	study	NOUN
stem-5537	18	25	of	of	ADP
stem-5537	18	26	trigonometry	trigonometry	NOUN
stem-5537	18	27	begins	begin	VERB
stem-5537	18	28	with	with	ADP
stem-5537	18	29	a	a	DET
stem-5537	18	30	unit	unit	NOUN
stem-5537	18	31	circle	circle	NOUN
stem-5537	18	32	in	in	ADP
stem-5537	18	33	the	the	DET
stem-5537	18	34	plane	plane	NOUN
stem-5537	18	35	,	,	PUNCT
stem-5537	18	36	that	that	ADV
stem-5537	18	37	is	is	ADV
stem-5537	18	38	,	,	PUNCT
stem-5537	18	39	the	the	DET
stem-5537	18	40	introduction	introduction	NOUN
stem-5537	18	41	of	of	ADP
stem-5537	18	42	basic	basic	ADJ
stem-5537	18	43	concepts	concept	NOUN
stem-5537	18	44	using	use	VERB
stem-5537	18	45	it	it	PRON
stem-5537	18	46	;	;	PUNCT
stem-5537	18	47	2	2	X
stem-5537	18	48	)	)	PUNCT
stem-5537	18	49	mainly	mainly	ADV
stem-5537	18	50	focus	focus	VERB
stem-5537	18	51	more	more	ADV
stem-5537	18	52	on	on	ADP
stem-5537	18	53	trigonometric	trigonometric	ADJ
stem-5537	18	54	shape	shape	NOUN
stem-5537	18	55	substitution	substitution	NOUN
stem-5537	18	56	;	;	PUNCT
stem-5537	18	57	3	3	X
stem-5537	18	58	)	)	PUNCT
stem-5537	18	59	the	the	DET
stem-5537	18	60	process	process	NOUN
stem-5537	18	61	of	of	ADP
stem-5537	18	62	studying	study	VERB
stem-5537	18	63	basic	basic	ADJ
stem-5537	18	64	trigonometric	trigonometric	ADJ
stem-5537	18	65	formulas	formula	NOUN
stem-5537	18	66	is	be	AUX
stem-5537	18	67	intended	intend	VERB
stem-5537	18	68	to	to	PART
stem-5537	18	69	be	be	AUX
stem-5537	18	70	studied	study	VERB
stem-5537	18	71	after	after	ADP
stem-5537	18	72	the	the	DET
stem-5537	18	73	introduction	introduction	NOUN
stem-5537	18	74	of	of	ADP
stem-5537	18	75	the	the	DET
stem-5537	18	76	concept	concept	NOUN
stem-5537	18	77	of	of	ADP
stem-5537	18	78	unit	unit	NOUN
stem-5537	18	79	circle	circle	NOUN
stem-5537	18	80	and	and	CCONJ
stem-5537	18	81	simple	simple	ADJ
stem-5537	18	82	trigonometric	trigonometric	ADJ
stem-5537	18	83	equations	equation	NOUN
stem-5537	18	84	[	[	X
stem-5537	18	85	5	5	NUM
stem-5537	18	86	]	]	PUNCT
stem-5537	18	87	.	.	PUNCT
stem-5537	19	1	research	research	NOUN
stem-5537	19	2	by	by	ADP
stem-5537	19	3	kevin	kevin	PROPN
stem-5537	19	4	moore	moore	PROPN
stem-5537	19	5	,	,	PUNCT
stem-5537	19	6	a	a	DET
stem-5537	19	7	researcher	researcher	NOUN
stem-5537	19	8	at	at	ADP
stem-5537	19	9	the	the	DET
stem-5537	19	10	university	university	PROPN
stem-5537	19	11	of	of	ADP
stem-5537	19	12	arizona	arizona	PROPN
stem-5537	19	13	,	,	PUNCT
stem-5537	19	14	recommends	recommend	VERB
stem-5537	19	15	a	a	DET
stem-5537	19	16	methodology	methodology	NOUN
stem-5537	19	17	for	for	ADP
stem-5537	19	18	developing	develop	VERB
stem-5537	19	19	students	student	NOUN
stem-5537	19	20	'	'	PART
stem-5537	19	21	computational	computational	ADJ
stem-5537	19	22	skills	skill	NOUN
stem-5537	19	23	in	in	ADP
stem-5537	19	24	studying	study	VERB
stem-5537	19	25	the	the	DET
stem-5537	19	26	basic	basic	ADJ
stem-5537	19	27	concepts	concept	NOUN
stem-5537	19	28	of	of	ADP
stem-5537	19	29	trigonometry	trigonometry	NOUN
stem-5537	19	30	.	.	PUNCT
stem-5537	20	1	the	the	DET
stem-5537	20	2	study	study	NOUN
stem-5537	20	3	shows	show	VERB
stem-5537	20	4	the	the	DET
stem-5537	20	5	dynamics	dynamic	NOUN
stem-5537	20	6	of	of	ADP
stem-5537	20	7	the	the	DET
stem-5537	20	8	development	development	NOUN
stem-5537	20	9	of	of	ADP
stem-5537	20	10	students	student	NOUN
stem-5537	20	11	'	'	PART
stem-5537	20	12	logical	logical	ADJ
stem-5537	20	13	thinking	thinking	NOUN
stem-5537	20	14	through	through	ADP
stem-5537	20	15	a	a	DET
stem-5537	20	16	sequence	sequence	NOUN
stem-5537	20	17	of	of	ADP
stem-5537	20	18	studies	study	NOUN
stem-5537	20	19	of	of	ADP
stem-5537	20	20	the	the	DET
stem-5537	20	21	proposed	propose	VERB
stem-5537	20	22	developmental	developmental	ADJ
stem-5537	20	23	and	and	CCONJ
stem-5537	20	24	trigonometric	trigonometric	ADJ
stem-5537	20	25	functions	function	NOUN
stem-5537	20	26	.	.	PUNCT
stem-5537	21	1	we	we	PRON
stem-5537	21	2	believe	believe	VERB
stem-5537	21	3	that	that	SCONJ
stem-5537	21	4	it	it	PRON
stem-5537	21	5	will	will	AUX
stem-5537	21	6	be	be	AUX
stem-5537	21	7	effective	effective	ADJ
stem-5537	21	8	to	to	PART
stem-5537	21	9	memorize	memorize	VERB
stem-5537	21	10	basic	basic	ADJ
stem-5537	21	11	learning	learning	NOUN
stem-5537	21	12	concepts	concept	NOUN
stem-5537	21	13	to	to	ADP
stem-5537	21	14	125	125	NUM
stem-5537	21	15	american	american	ADJ
stem-5537	21	16	journal	journal	PROPN
stem-5537	21	17	of	of	ADP
stem-5537	21	18	language	language	NOUN
stem-5537	21	19	,	,	PUNCT
stem-5537	21	20	literacy	literacy	NOUN
stem-5537	21	21	and	and	CCONJ
stem-5537	21	22	learning	learn	VERB
stem-5537	21	23	in	in	ADP
stem-5537	21	24	stem	stem	NOUN
stem-5537	21	25	education	education	NOUN
stem-5537	21	26	www	www	PROPN
stem-5537	21	27	.	.	PUNCT
stem-5537	22	1	grnjournal.us	grnjournal.us	X
stem-5537	22	2	facilitate	facilitate	VERB
stem-5537	22	3	the	the	DET
stem-5537	22	4	study	study	NOUN
stem-5537	22	5	of	of	ADP
stem-5537	22	6	trigonometry	trigonometry	NOUN
stem-5537	22	7	and	and	CCONJ
stem-5537	22	8	ensure	ensure	VERB
stem-5537	22	9	systemicity	systemicity	NOUN
stem-5537	22	10	,	,	PUNCT
stem-5537	22	11	continuity	continuity	NOUN
stem-5537	22	12	,	,	PUNCT
stem-5537	22	13	analyzing	analyze	VERB
stem-5537	22	14	the	the	DET
stem-5537	22	15	developments	development	NOUN
stem-5537	22	16	of	of	ADP
stem-5537	22	17	many	many	ADJ
stem-5537	22	18	researchers	researcher	NOUN
stem-5537	22	19	.	.	PUNCT
stem-5537	23	1	research	research	NOUN
stem-5537	23	2	methodology	methodology	NOUN
stem-5537	23	3	:	:	PUNCT
stem-5537	23	4	in	in	ADP
stem-5537	23	5	the	the	DET
stem-5537	23	6	process	process	NOUN
stem-5537	23	7	of	of	ADP
stem-5537	23	8	mathematical	mathematical	ADJ
stem-5537	23	9	education	education	NOUN
stem-5537	23	10	,	,	PUNCT
stem-5537	23	11	scientific	scientific	ADJ
stem-5537	23	12	research(experiment	research(experiment	NOUN
stem-5537	23	13	and	and	CCONJ
stem-5537	23	14	observation	observation	NOUN
stem-5537	23	15	,	,	PUNCT
stem-5537	23	16	comparison	comparison	NOUN
stem-5537	23	17	,	,	PUNCT
stem-5537	23	18	analysis	analysis	NOUN
stem-5537	23	19	and	and	CCONJ
stem-5537	23	20	synthesis	synthesis	NOUN
stem-5537	23	21	,	,	PUNCT
stem-5537	23	22	generalization	generalization	NOUN
stem-5537	23	23	,	,	PUNCT
stem-5537	23	24	abstraction	abstraction	NOUN
stem-5537	23	25	,	,	PUNCT
stem-5537	23	26	clarification	clarification	NOUN
stem-5537	23	27	,	,	PUNCT
stem-5537	23	28	classification	classification	NOUN
stem-5537	23	29	,	,	PUNCT
stem-5537	23	30	systematization	systematization	NOUN
stem-5537	23	31	)	)	PUNCT
stem-5537	23	32	and	and	CCONJ
stem-5537	23	33	methods	method	NOUN
stem-5537	23	34	of	of	ADP
stem-5537	23	35	inference	inference	NOUN
stem-5537	23	36	(	(	PUNCT
stem-5537	23	37	induction	induction	NOUN
stem-5537	23	38	,	,	PUNCT
stem-5537	23	39	deduction	deduction	NOUN
stem-5537	23	40	,	,	PUNCT
stem-5537	23	41	analogy	analogy	NOUN
stem-5537	23	42	)	)	PUNCT
stem-5537	23	43	naturally	naturally	ADV
stem-5537	23	44	form	form	VERB
stem-5537	23	45	the	the	DET
stem-5537	23	46	arsenal	arsenal	NOUN
stem-5537	23	47	of	of	ADP
stem-5537	23	48	human	human	ADJ
stem-5537	23	49	thought	thought	NOUN
stem-5537	23	50	techniques	technique	NOUN
stem-5537	23	51	[	[	X
stem-5537	23	52	3	3	NUM
stem-5537	23	53	]	]	PUNCT
stem-5537	23	54	.	.	PUNCT
stem-5537	24	1	memorizing	memorize	VERB
stem-5537	24	2	the	the	DET
stem-5537	24	3	content	content	NOUN
stem-5537	24	4	of	of	ADP
stem-5537	24	5	a	a	DET
stem-5537	24	6	mathematical	mathematical	ADJ
stem-5537	24	7	concept	concept	NOUN
stem-5537	24	8	reveals	reveal	VERB
stem-5537	24	9	the	the	DET
stem-5537	24	10	mechanism	mechanism	NOUN
stem-5537	24	11	of	of	ADP
stem-5537	24	12	logical	logical	ADJ
stem-5537	24	13	constructions	construction	NOUN
stem-5537	24	14	of	of	ADP
stem-5537	24	15	this	this	DET
stem-5537	24	16	concept	concept	NOUN
stem-5537	24	17	and	and	CCONJ
stem-5537	24	18	develops	develop	VERB
stem-5537	24	19	the	the	DET
stem-5537	24	20	student	student	NOUN
stem-5537	24	21	's	's	PART
stem-5537	24	22	ability	ability	NOUN
stem-5537	24	23	to	to	PART
stem-5537	24	24	formulate	formulate	VERB
stem-5537	24	25	,	,	PUNCT
stem-5537	24	26	prove	prove	VERB
stem-5537	24	27	mathematical	mathematical	ADJ
stem-5537	24	28	judgments	judgment	NOUN
stem-5537	24	29	(	(	PUNCT
stem-5537	24	30	axiom	axiom	NOUN
stem-5537	24	31	,	,	PUNCT
stem-5537	24	32	pospulate	pospulate	NOUN
stem-5537	24	33	and	and	CCONJ
stem-5537	24	34	theorem	theorem	VERB
stem-5537	24	35	)	)	PUNCT
stem-5537	24	36	.	.	PUNCT
stem-5537	25	1	sections	section	NOUN
stem-5537	25	2	of	of	ADP
stem-5537	25	3	the	the	DET
stem-5537	25	4	school	school	NOUN
stem-5537	25	5	mathematics	mathematic	NOUN
stem-5537	25	6	course	course	NOUN
stem-5537	25	7	have	have	VERB
stem-5537	25	8	different	different	ADJ
stem-5537	25	9	difficulty	difficulty	NOUN
stem-5537	25	10	levels	level	NOUN
stem-5537	25	11	,	,	PUNCT
stem-5537	25	12	and	and	CCONJ
stem-5537	25	13	especially	especially	ADV
stem-5537	25	14	the	the	DET
stem-5537	25	15	majority	majority	NOUN
stem-5537	25	16	of	of	ADP
stem-5537	25	17	students	student	NOUN
stem-5537	25	18	have	have	VERB
stem-5537	25	19	problems	problem	NOUN
stem-5537	25	20	studying	study	VERB
stem-5537	25	21	trigonometry	trigonometry	NOUN
stem-5537	25	22	sections	section	NOUN
stem-5537	25	23	.	.	PUNCT
stem-5537	26	1	in	in	ADP
stem-5537	26	2	this	this	DET
stem-5537	26	3	situation	situation	NOUN
stem-5537	26	4	,	,	PUNCT
stem-5537	26	5	the	the	DET
stem-5537	26	6	teacher	teacher	NOUN
stem-5537	26	7	should	should	AUX
stem-5537	26	8	apply	apply	VERB
stem-5537	26	9	illustrative	illustrative	ADJ
stem-5537	26	10	,	,	PUNCT
stem-5537	26	11	primitive	primitive	ADJ
stem-5537	26	12	methods	method	NOUN
stem-5537	26	13	of	of	ADP
stem-5537	26	14	teaching	teaching	NOUN
stem-5537	26	15	in	in	ADP
stem-5537	26	16	the	the	DET
stem-5537	26	17	course	course	NOUN
stem-5537	26	18	of	of	ADP
stem-5537	26	19	the	the	DET
stem-5537	26	20	lesson	lesson	NOUN
stem-5537	26	21	,	,	PUNCT
stem-5537	26	22	form	form	VERB
stem-5537	26	23	the	the	DET
stem-5537	26	24	students	student	NOUN
stem-5537	26	25	'	'	PART
stem-5537	26	26	ability	ability	NOUN
stem-5537	26	27	to	to	PART
stem-5537	26	28	memorize	memorize	VERB
stem-5537	26	29	,	,	PUNCT
stem-5537	26	30	provide	provide	VERB
stem-5537	26	31	various	various	ADJ
stem-5537	26	32	practical	practical	ADJ
stem-5537	26	33	aspects	aspect	NOUN
stem-5537	26	34	of	of	ADP
stem-5537	26	35	trigonometry	trigonometry	NOUN
stem-5537	26	36	.	.	PUNCT
stem-5537	27	1	the	the	DET
stem-5537	27	2	formation	formation	NOUN
stem-5537	27	3	of	of	ADP
stem-5537	27	4	students	student	NOUN
stem-5537	27	5	'	'	PART
stem-5537	27	6	ability	ability	NOUN
stem-5537	27	7	to	to	PART
stem-5537	27	8	memorize	memorize	VERB
stem-5537	27	9	strongly	strongly	ADV
stem-5537	27	10	influences	influence	VERB
stem-5537	27	11	their	their	PRON
stem-5537	27	12	not	not	PART
stem-5537	27	13	yet	yet	ADV
stem-5537	27	14	awakened	awaken	VERB
stem-5537	27	15	mathematical	mathematical	ADJ
stem-5537	27	16	thinking	thinking	NOUN
stem-5537	27	17	and	and	CCONJ
stem-5537	27	18	leads	lead	VERB
stem-5537	27	19	to	to	ADP
stem-5537	27	20	an	an	DET
stem-5537	27	21	awareness	awareness	NOUN
stem-5537	27	22	of	of	ADP
stem-5537	27	23	the	the	DET
stem-5537	27	24	importance	importance	NOUN
stem-5537	27	25	of	of	ADP
stem-5537	27	26	trigonometry	trigonometry	NOUN
stem-5537	27	27	,	,	PUNCT
stem-5537	27	28	in	in	ADP
stem-5537	27	29	particular	particular	ADJ
stem-5537	27	30	an	an	DET
stem-5537	27	31	increase	increase	NOUN
stem-5537	27	32	in	in	ADP
stem-5537	27	33	motivation	motivation	NOUN
stem-5537	27	34	.	.	PUNCT
stem-5537	28	1	the	the	DET
stem-5537	28	2	fact	fact	NOUN
stem-5537	28	3	that	that	SCONJ
stem-5537	28	4	the	the	DET
stem-5537	28	5	formation	formation	NOUN
stem-5537	28	6	of	of	ADP
stem-5537	28	7	the	the	DET
stem-5537	28	8	ability	ability	NOUN
stem-5537	28	9	to	to	PART
stem-5537	28	10	memorize	memorize	VERB
stem-5537	28	11	is	be	AUX
stem-5537	28	12	the	the	DET
stem-5537	28	13	main	main	ADJ
stem-5537	28	14	factor	factor	NOUN
stem-5537	28	15	in	in	ADP
stem-5537	28	16	the	the	DET
stem-5537	28	17	development	development	NOUN
stem-5537	28	18	of	of	ADP
stem-5537	28	19	thinking	thinking	NOUN
stem-5537	28	20	is	be	AUX
stem-5537	28	21	demonstrated	demonstrate	VERB
stem-5537	28	22	by	by	ADP
stem-5537	28	23	many	many	ADJ
stem-5537	28	24	psychologist	psychologist	NOUN
stem-5537	28	25	scientists	scientist	NOUN
stem-5537	28	26	(	(	PUNCT
stem-5537	28	27	p.i	p.i	PROPN
stem-5537	28	28	.	.	PROPN
stem-5537	28	29	zinchenko	zinchenko	PROPN
stem-5537	28	30	,	,	PUNCT
stem-5537	28	31	i.f	i.f	PROPN
stem-5537	28	32	.	.	PROPN
stem-5537	28	33	kashlach	kashlach	PROPN
stem-5537	28	34	,	,	PUNCT
stem-5537	28	35	w.ya	w.ya	PROPN
stem-5537	28	36	.	.	PUNCT
stem-5537	29	1	liaudis	liaudis	PROPN
stem-5537	29	2	,	,	PUNCT
stem-5537	29	3	m.s	m.s	PROPN
stem-5537	29	4	.	.	PROPN
stem-5537	29	5	rogovin	rogovin	PROPN
stem-5537	29	6	,	,	PUNCT
stem-5537	29	7	a.a	a.a	PROPN
stem-5537	29	8	.	.	PROPN
stem-5537	29	9	smirnov	smirnov	PROPN
stem-5537	29	10	et	et	PROPN
stem-5537	29	11	al	al	PROPN
stem-5537	29	12	.	.	PUNCT
stem-5537	30	1	the	the	DET
stem-5537	30	2	process	process	NOUN
stem-5537	30	3	of	of	ADP
stem-5537	30	4	developing	develop	VERB
stem-5537	30	5	the	the	DET
stem-5537	30	6	logical	logical	ADJ
stem-5537	30	7	memory	memory	NOUN
stem-5537	30	8	of	of	ADP
stem-5537	30	9	students	student	NOUN
stem-5537	30	10	is	be	AUX
stem-5537	30	11	considered	consider	VERB
stem-5537	30	12	as	as	ADP
stem-5537	30	13	the	the	DET
stem-5537	30	14	formation	formation	NOUN
stem-5537	30	15	of	of	ADP
stem-5537	30	16	methods	method	NOUN
stem-5537	30	17	for	for	ADP
stem-5537	30	18	organizing	organize	VERB
stem-5537	30	19	educational	educational	ADJ
stem-5537	30	20	activities	activity	NOUN
stem-5537	30	21	on	on	ADP
stem-5537	30	22	the	the	DET
stem-5537	30	23	basis	basis	NOUN
stem-5537	30	24	of	of	ADP
stem-5537	30	25	memorization	memorization	NOUN
stem-5537	30	26	and	and	CCONJ
stem-5537	30	27	,	,	PUNCT
stem-5537	30	28	through	through	ADP
stem-5537	30	29	this	this	PRON
stem-5537	30	30	,	,	PUNCT
stem-5537	30	31	the	the	DET
stem-5537	30	32	establishment	establishment	NOUN
stem-5537	30	33	of	of	ADP
stem-5537	30	34	semantic	semantic	ADJ
stem-5537	30	35	connections	connection	NOUN
stem-5537	30	36	,	,	PUNCT
stem-5537	30	37	relationships	relationship	NOUN
stem-5537	30	38	in	in	ADP
stem-5537	30	39	the	the	DET
stem-5537	30	40	educational	educational	ADJ
stem-5537	30	41	material	material	NOUN
stem-5537	30	42	.	.	PUNCT
stem-5537	31	1	the	the	DET
stem-5537	31	2	memorization	memorization	NOUN
stem-5537	31	3	process	process	NOUN
stem-5537	31	4	itself	itself	PRON
stem-5537	31	5	is	be	AUX
stem-5537	31	6	characterized	characterize	VERB
stem-5537	31	7	by	by	ADP
stem-5537	31	8	the	the	DET
stem-5537	31	9	functions	function	NOUN
stem-5537	31	10	of	of	ADP
stem-5537	31	11	storing	store	VERB
stem-5537	31	12	and	and	CCONJ
stem-5537	31	13	strengthening	strengthen	VERB
stem-5537	31	14	the	the	DET
stem-5537	31	15	educational	educational	ADJ
stem-5537	31	16	material	material	NOUN
stem-5537	31	17	in	in	ADP
stem-5537	31	18	memory	memory	NOUN
stem-5537	31	19	,	,	PUNCT
stem-5537	31	20	as	as	ADV
stem-5537	31	21	well	well	ADV
stem-5537	31	22	as	as	ADP
stem-5537	31	23	the	the	DET
stem-5537	31	24	functions	function	NOUN
stem-5537	31	25	of	of	ADP
stem-5537	31	26	its	its	PRON
stem-5537	31	27	development	development	NOUN
stem-5537	31	28	.	.	PUNCT
stem-5537	32	1	perhaps	perhaps	ADV
stem-5537	32	2	the	the	DET
stem-5537	32	3	problems	problem	NOUN
stem-5537	32	4	that	that	PRON
stem-5537	32	5	arise	arise	VERB
stem-5537	32	6	in	in	ADP
stem-5537	32	7	the	the	DET
stem-5537	32	8	study	study	NOUN
stem-5537	32	9	of	of	ADP
stem-5537	32	10	trigonometry	trigonometry	NOUN
stem-5537	32	11	sections	section	NOUN
stem-5537	32	12	at	at	ADP
stem-5537	32	13	school	school	NOUN
stem-5537	32	14	may	may	AUX
stem-5537	32	15	be	be	AUX
stem-5537	32	16	the	the	DET
stem-5537	32	17	lack	lack	NOUN
stem-5537	32	18	of	of	ADP
stem-5537	32	19	memorization	memorization	NOUN
stem-5537	32	20	by	by	ADP
stem-5537	32	21	the	the	DET
stem-5537	32	22	student	student	NOUN
stem-5537	32	23	of	of	ADP
stem-5537	32	24	the	the	DET
stem-5537	32	25	main	main	ADJ
stem-5537	32	26	teaching	teaching	NOUN
stem-5537	32	27	materials	material	NOUN
stem-5537	32	28	and	and	CCONJ
stem-5537	32	29	formulas	formula	NOUN
stem-5537	32	30	in	in	ADP
stem-5537	32	31	this	this	DET
stem-5537	32	32	section	section	NOUN
stem-5537	32	33	.	.	PUNCT
stem-5537	33	1	because	because	SCONJ
stem-5537	33	2	initially	initially	ADV
stem-5537	33	3	memorizing	memorize	VERB
stem-5537	33	4	the	the	DET
stem-5537	33	5	values	value	NOUN
stem-5537	33	6	of	of	ADP
stem-5537	33	7	the	the	DET
stem-5537	33	8	basic	basic	ADJ
stem-5537	33	9	trigonometric	trigonometric	ADJ
stem-5537	33	10	formulas	formula	NOUN
stem-5537	33	11	and	and	CCONJ
stem-5537	33	12	trigonometric	trigonometric	ADJ
stem-5537	33	13	functions	function	NOUN
stem-5537	33	14	will	will	AUX
stem-5537	33	15	open	open	VERB
stem-5537	33	16	the	the	DET
stem-5537	33	17	way	way	NOUN
stem-5537	33	18	to	to	ADP
stem-5537	33	19	the	the	DET
stem-5537	33	20	study	study	NOUN
stem-5537	33	21	of	of	ADP
stem-5537	33	22	later	later	ADJ
stem-5537	33	23	topics	topic	NOUN
stem-5537	33	24	.	.	PUNCT
stem-5537	34	1	trigonometry	trigonometry	NOUN
stem-5537	34	2	occupies	occupy	VERB
stem-5537	34	3	one	one	NUM
stem-5537	34	4	of	of	ADP
stem-5537	34	5	the	the	DET
stem-5537	34	6	central	central	ADJ
stem-5537	34	7	places	place	NOUN
stem-5537	34	8	in	in	ADP
stem-5537	34	9	the	the	DET
stem-5537	34	10	school	school	NOUN
stem-5537	34	11	mathematics	mathematic	NOUN
stem-5537	34	12	course	course	NOUN
stem-5537	34	13	in	in	ADP
stem-5537	34	14	terms	term	NOUN
stem-5537	34	15	of	of	ADP
stem-5537	34	16	the	the	DET
stem-5537	34	17	scale	scale	NOUN
stem-5537	34	18	of	of	ADP
stem-5537	34	19	the	the	DET
stem-5537	34	20	content	content	NOUN
stem-5537	34	21	and	and	CCONJ
stem-5537	34	22	relevance	relevance	NOUN
stem-5537	34	23	of	of	ADP
stem-5537	34	24	educational	educational	ADJ
stem-5537	34	25	material	material	NOUN
stem-5537	34	26	.	.	PUNCT
stem-5537	35	1	as	as	ADP
stem-5537	35	2	a	a	DET
stem-5537	35	3	result	result	NOUN
stem-5537	35	4	of	of	ADP
stem-5537	35	5	the	the	DET
stem-5537	35	6	analysis	analysis	NOUN
stem-5537	35	7	,	,	PUNCT
stem-5537	35	8	trigonometric	trigonometric	ADJ
stem-5537	35	9	issues	issue	NOUN
stem-5537	35	10	account	account	VERB
stem-5537	35	11	for	for	ADP
stem-5537	35	12	10	10	NUM
stem-5537	35	13	-	-	SYM
stem-5537	35	14	23	23	NUM
stem-5537	35	15	%	%	NOUN
stem-5537	35	16	of	of	ADP
stem-5537	35	17	higher	high	ADJ
stem-5537	35	18	education	education	NOUN
stem-5537	35	19	entrance	entrance	NOUN
stem-5537	35	20	tests	test	NOUN
stem-5537	35	21	.	.	PUNCT
stem-5537	36	1	in	in	ADP
stem-5537	36	2	solving	solve	VERB
stem-5537	36	3	some	some	DET
stem-5537	36	4	tests	test	NOUN
stem-5537	36	5	,	,	PUNCT
stem-5537	36	6	however	however	ADV
stem-5537	36	7	,	,	PUNCT
stem-5537	36	8	one	one	PRON
stem-5537	36	9	has	have	VERB
stem-5537	36	10	to	to	PART
stem-5537	36	11	rely	rely	VERB
stem-5537	36	12	on	on	ADP
stem-5537	36	13	trigonometry	trigonometry	NOUN
stem-5537	36	14	.	.	PUNCT
stem-5537	37	1	it	it	PRON
stem-5537	37	2	is	be	AUX
stem-5537	37	3	known	know	VERB
stem-5537	37	4	that	that	SCONJ
stem-5537	37	5	the	the	DET
stem-5537	37	6	process	process	NOUN
stem-5537	37	7	of	of	ADP
stem-5537	37	8	studying	study	VERB
stem-5537	37	9	preliminary	preliminary	ADJ
stem-5537	37	10	trigonometric	trigonometric	ADJ
stem-5537	37	11	concepts	concept	NOUN
stem-5537	37	12	begins	begin	VERB
stem-5537	37	13	with	with	ADP
stem-5537	37	14	the	the	DET
stem-5537	37	15	examination	examination	NOUN
stem-5537	37	16	of	of	ADP
stem-5537	37	17	the	the	DET
stem-5537	37	18	sine	sine	NOUN
stem-5537	37	19	,	,	PUNCT
stem-5537	37	20	cosine	cosine	NOUN
stem-5537	37	21	,	,	PUNCT
stem-5537	37	22	tangency	tangency	NOUN
stem-5537	37	23	and	and	CCONJ
stem-5537	37	24	cotangency	cotangency	NOUN
stem-5537	37	25	of	of	ADP
stem-5537	37	26	the	the	DET
stem-5537	37	27	angles	angle	NOUN
stem-5537	37	28	of	of	ADP
stem-5537	37	29	the	the	DET
stem-5537	37	30	triangle	triangle	NOUN
stem-5537	37	31	in	in	ADP
stem-5537	37	32	geometry	geometry	NOUN
stem-5537	37	33	lessons	lesson	NOUN
stem-5537	37	34	by	by	ADP
stem-5537	37	35	students	student	NOUN
stem-5537	37	36	of	of	ADP
stem-5537	37	37	the	the	DET
stem-5537	37	38	8th	8th	ADJ
stem-5537	37	39	grade	grade	NOUN
stem-5537	37	40	.	.	PUNCT
stem-5537	38	1	the	the	DET
stem-5537	38	2	process	process	NOUN
stem-5537	38	3	of	of	ADP
stem-5537	38	4	studying	study	VERB
stem-5537	38	5	trigonometry	trigonometry	NOUN
stem-5537	38	6	is	be	AUX
stem-5537	38	7	also	also	ADV
stem-5537	38	8	continued	continue	VERB
stem-5537	38	9	in	in	ADP
stem-5537	38	10	the	the	DET
stem-5537	38	11	upper	upper	ADJ
stem-5537	38	12	classes	class	NOUN
stem-5537	38	13	,	,	PUNCT
stem-5537	38	14	in	in	ADP
stem-5537	38	15	particular	particular	ADJ
stem-5537	38	16	the	the	DET
stem-5537	38	17	trigonometric	trigonometric	ADJ
stem-5537	38	18	equations	equation	NOUN
stem-5537	38	19	and	and	CCONJ
stem-5537	38	20	inequalities	inequality	NOUN
stem-5537	38	21	,	,	PUNCT
stem-5537	38	22	extended	extend	VERB
stem-5537	38	23	by	by	ADP
stem-5537	38	24	their	their	PRON
stem-5537	38	25	system	system	NOUN
stem-5537	38	26	and	and	CCONJ
stem-5537	38	27	provided	provide	VERB
stem-5537	38	28	consistency	consistency	NOUN
stem-5537	38	29	and	and	CCONJ
stem-5537	38	30	continuity	continuity	NOUN
stem-5537	38	31	of	of	ADP
stem-5537	38	32	educational	educational	ADJ
stem-5537	38	33	content	content	NOUN
stem-5537	38	34	.	.	PUNCT
stem-5537	39	1	one	one	NUM
stem-5537	39	2	of	of	ADP
stem-5537	39	3	the	the	DET
stem-5537	39	4	problems	problem	NOUN
stem-5537	39	5	faced	face	VERB
stem-5537	39	6	by	by	ADP
stem-5537	39	7	students	student	NOUN
stem-5537	39	8	in	in	ADP
stem-5537	39	9	the	the	DET
stem-5537	39	10	early	early	ADJ
stem-5537	39	11	stages	stage	NOUN
stem-5537	39	12	of	of	ADP
stem-5537	39	13	learning	learn	VERB
stem-5537	39	14	trigonometry	trigonometry	NOUN
stem-5537	39	15	is	be	AUX
stem-5537	39	16	the	the	DET
stem-5537	39	17	need	need	NOUN
stem-5537	39	18	to	to	PART
stem-5537	39	19	memorize	memorize	VERB
stem-5537	39	20	the	the	DET
stem-5537	39	21	values	value	NOUN
stem-5537	39	22	of	of	ADP
stem-5537	39	23	trigonometric	trigonometric	ADJ
stem-5537	39	24	functions	function	NOUN
stem-5537	39	25	for	for	ADP
stem-5537	39	26	angular	angular	ADJ
stem-5537	39	27	values	value	NOUN
stem-5537	39	28	(	(	PUNCT
stem-5537	39	29	0º	0º	NOUN
stem-5537	39	30	,	,	PUNCT
stem-5537	39	31	30º	30º	NOUN
stem-5537	39	32	,	,	PUNCT
stem-5537	39	33	45º	45º	NOUN
stem-5537	39	34	,	,	PUNCT
stem-5537	39	35	60º	60º	NOUN
stem-5537	39	36	,	,	PUNCT
stem-5537	39	37	90º	90º	NUM
stem-5537	39	38	)	)	PUNCT
stem-5537	39	39	.	.	PUNCT
stem-5537	40	1	psychologist	psychologist	PROPN
stem-5537	40	2	a.a	a.a	PROPN
stem-5537	40	3	.	.	PROPN
stem-5537	40	4	smirnov	smirnov	PROPN
stem-5537	40	5	believes	believe	VERB
stem-5537	40	6	that	that	SCONJ
stem-5537	40	7	memorizing	memorize	VERB
stem-5537	40	8	information	information	NOUN
stem-5537	40	9	activates	activate	VERB
stem-5537	40	10	the	the	DET
stem-5537	40	11	student	student	NOUN
stem-5537	40	12	's	's	PART
stem-5537	40	13	cognitive	cognitive	ADJ
stem-5537	40	14	activity	activity	NOUN
stem-5537	40	15	.	.	PUNCT
stem-5537	41	1	not	not	PART
stem-5537	41	2	memorizing	memorize	VERB
stem-5537	41	3	and	and	CCONJ
stem-5537	41	4	remembering	remember	VERB
stem-5537	41	5	the	the	DET
stem-5537	41	6	necessary	necessary	ADJ
stem-5537	41	7	parts	part	NOUN
stem-5537	41	8	of	of	ADP
stem-5537	41	9	the	the	DET
stem-5537	41	10	learning	learning	NOUN
stem-5537	41	11	material	material	NOUN
stem-5537	41	12	will	will	AUX
stem-5537	41	13	cause	cause	VERB
stem-5537	41	14	it	it	PRON
stem-5537	41	15	to	to	PART
stem-5537	41	16	be	be	AUX
stem-5537	41	17	quickly	quickly	ADV
stem-5537	41	18	forgotten	forget	VERB
stem-5537	42	1	[	[	X
stem-5537	42	2	2	2	NUM
stem-5537	42	3	]	]	PUNCT
stem-5537	42	4	.	.	PUNCT
stem-5537	43	1	therefore	therefore	ADV
stem-5537	43	2	,	,	PUNCT
stem-5537	43	3	in	in	ADP
stem-5537	43	4	order	order	NOUN
stem-5537	43	5	to	to	PART
stem-5537	43	6	constantly	constantly	ADV
stem-5537	43	7	remember	remember	VERB
stem-5537	43	8	any	any	DET
stem-5537	43	9	trigonometric	trigonometric	ADJ
stem-5537	43	10	material	material	NOUN
stem-5537	43	11	,	,	PUNCT
stem-5537	43	12	it	it	PRON
stem-5537	43	13	will	will	AUX
stem-5537	43	14	be	be	AUX
stem-5537	43	15	necessary	necessary	ADJ
stem-5537	43	16	to	to	PART
stem-5537	43	17	provide	provide	VERB
stem-5537	43	18	a	a	DET
stem-5537	43	19	system	system	NOUN
stem-5537	43	20	of	of	ADP
stem-5537	43	21	contacts	contact	NOUN
stem-5537	43	22	of	of	ADP
stem-5537	43	23	educational	educational	ADJ
stem-5537	43	24	activities	activity	NOUN
stem-5537	43	25	that	that	PRON
stem-5537	43	26	form	form	VERB
stem-5537	43	27	a	a	DET
stem-5537	43	28	mnemonic	mnemonic	ADJ
stem-5537	43	29	action	action	NOUN
stem-5537	43	30	(	(	PUNCT
stem-5537	43	31	methods	method	NOUN
stem-5537	43	32	that	that	PRON
stem-5537	43	33	increase	increase	VERB
stem-5537	43	34	the	the	DET
stem-5537	43	35	productivity	productivity	NOUN
stem-5537	43	36	of	of	ADP
stem-5537	43	37	memory	memory	NOUN
stem-5537	43	38	and	and	CCONJ
stem-5537	43	39	process	process	NOUN
stem-5537	43	40	memorized	memorize	VERB
stem-5537	43	41	material	material	NOUN
stem-5537	43	42	)	)	PUNCT
stem-5537	43	43	.	.	PUNCT
stem-5537	44	1	the	the	DET
stem-5537	44	2	importance	importance	NOUN
stem-5537	44	3	of	of	ADP
stem-5537	44	4	the	the	DET
stem-5537	44	5	mnemonic	mnemonic	ADJ
stem-5537	44	6	memorization	memorization	NOUN
stem-5537	44	7	technique	technique	NOUN
stem-5537	44	8	in	in	ADP
stem-5537	44	9	the	the	DET
stem-5537	44	10	school	school	NOUN
stem-5537	44	11	mathematics	mathematic	NOUN
stem-5537	44	12	course	course	NOUN
stem-5537	44	13	and	and	CCONJ
stem-5537	44	14	its	its	PRON
stem-5537	44	15	properties	property	NOUN
stem-5537	44	16	have	have	AUX
stem-5537	44	17	been	be	AUX
stem-5537	44	18	studied	study	VERB
stem-5537	44	19	by	by	ADP
stem-5537	44	20	many	many	ADJ
stem-5537	44	21	methodists	methodist	NOUN
stem-5537	44	22	(	(	PUNCT
stem-5537	44	23	o.b	o.b	PROPN
stem-5537	44	24	.	.	PROPN
stem-5537	44	25	episheva	episheva	PROPN
stem-5537	45	1	[	[	X
stem-5537	45	2	5	5	NUM
stem-5537	45	3	]	]	PUNCT
stem-5537	45	4	,	,	PUNCT
stem-5537	45	5	i.f	i.f	PROPN
stem-5537	45	6	.	.	PROPN
stem-5537	45	7	kashlach	kashlach	PROPN
stem-5537	46	1	[	[	X
stem-5537	46	2	4	4	X
stem-5537	46	3	]	]	PUNCT
stem-5537	46	4	et	et	PROPN
stem-5537	46	5	al	al	PROPN
stem-5537	46	6	.	.	PUNCT
stem-5537	47	1	the	the	DET
stem-5537	47	2	properties	property	NOUN
stem-5537	47	3	of	of	ADP
stem-5537	47	4	the	the	DET
stem-5537	47	5	iodized	iodized	ADJ
stem-5537	47	6	material	material	NOUN
stem-5537	47	7	must	must	AUX
stem-5537	47	8	lie	lie	VERB
stem-5537	47	9	on	on	ADP
stem-5537	47	10	the	the	DET
stem-5537	47	11	basis	basis	NOUN
stem-5537	47	12	of	of	ADP
stem-5537	47	13	a	a	DET
stem-5537	47	14	mathematical	mathematical	ADJ
stem-5537	47	15	model	model	NOUN
stem-5537	47	16	built	build	VERB
stem-5537	47	17	through	through	ADP
stem-5537	47	18	its	its	PRON
stem-5537	47	19	system	system	NOUN
stem-5537	47	20	of	of	ADP
stem-5537	47	21	mnemonic	mnemonic	ADJ
stem-5537	47	22	movements	movement	NOUN
stem-5537	47	23	.	.	PUNCT
stem-5537	48	1	as	as	ADP
stem-5537	48	2	mechanisms	mechanism	NOUN
stem-5537	48	3	of	of	ADP
stem-5537	48	4	mnemonic	mnemonic	ADJ
stem-5537	48	5	behavior	behavior	NOUN
stem-5537	48	6	in	in	ADP
stem-5537	48	7	the	the	DET
stem-5537	48	8	development	development	NOUN
stem-5537	48	9	of	of	ADP
stem-5537	48	10	logical	logical	ADJ
stem-5537	48	11	memory	memory	NOUN
stem-5537	48	12	,	,	PUNCT
stem-5537	48	13	the	the	DET
stem-5537	48	14	following	follow	VERB
stem-5537	48	15	are	be	AUX
stem-5537	48	16	recommended	recommend	VERB
stem-5537	48	17	:	:	PUNCT
stem-5537	48	18	organization	organization	NOUN
stem-5537	48	19	of	of	ADP
stem-5537	48	20	educational	educational	ADJ
stem-5537	48	21	activities	activity	NOUN
stem-5537	48	22	that	that	PRON
stem-5537	48	23	lead	lead	VERB
stem-5537	48	24	to	to	ADP
stem-5537	48	25	the	the	DET
stem-5537	48	26	division	division	NOUN
stem-5537	48	27	of	of	ADP
stem-5537	48	28	educational	educational	ADJ
stem-5537	48	29	material	material	NOUN
stem-5537	48	30	into	into	ADP
stem-5537	48	31	semantic	semantic	ADJ
stem-5537	48	32	groups	group	NOUN
stem-5537	48	33	and	and	CCONJ
stem-5537	48	34	frequent	frequent	ADJ
stem-5537	48	35	repetition	repetition	NOUN
stem-5537	48	36	,	,	PUNCT
stem-5537	48	37	comparison	comparison	NOUN
stem-5537	48	38	,	,	PUNCT
stem-5537	48	39	classification	classification	NOUN
stem-5537	48	40	,	,	PUNCT
stem-5537	48	41	systematization	systematization	NOUN
stem-5537	48	42	,	,	PUNCT
stem-5537	48	43	analogy	analogy	NOUN
stem-5537	48	44	and	and	CCONJ
stem-5537	48	45	linking	link	VERB
stem-5537	48	46	memorized	memorized	ADJ
stem-5537	48	47	information	information	NOUN
stem-5537	48	48	to	to	ADP
stem-5537	48	49	some	some	DET
stem-5537	48	50	object	object	NOUN
stem-5537	48	51	,	,	PUNCT
stem-5537	48	52	etc	etc	X
stem-5537	48	53	.	.	X
stem-5537	48	54	based	base	VERB
stem-5537	48	55	on	on	ADP
stem-5537	48	56	the	the	DET
stem-5537	48	57	above	above	NOUN
stem-5537	48	58	,	,	PUNCT
stem-5537	48	59	the	the	DET
stem-5537	48	60	identification	identification	NOUN
stem-5537	48	61	of	of	ADP
stem-5537	48	62	illustrative	illustrative	ADJ
stem-5537	48	63	-	-	PUNCT
stem-5537	48	64	cognitive	cognitive	ADJ
stem-5537	48	65	methods	method	NOUN
stem-5537	48	66	,	,	PUNCT
stem-5537	48	67	the	the	DET
stem-5537	48	68	development	development	NOUN
stem-5537	48	69	of	of	ADP
stem-5537	48	70	practical	practical	ADJ
stem-5537	48	71	recommendations	recommendation	NOUN
stem-5537	48	72	,	,	PUNCT
stem-5537	48	73	which	which	PRON
stem-5537	48	74	make	make	VERB
stem-5537	48	75	it	it	PRON
stem-5537	48	76	easier	easy	ADJ
stem-5537	48	77	for	for	SCONJ
stem-5537	48	78	students	student	NOUN
stem-5537	48	79	to	to	PART
stem-5537	48	80	memorize	memorize	VERB
stem-5537	48	81	the	the	DET
stem-5537	48	82	"	"	PUNCT
stem-5537	48	83	table	table	NOUN
stem-5537	48	84	"	"	PUNCT
stem-5537	48	85	values	value	NOUN
stem-5537	48	86	of	of	ADP
stem-5537	48	87	trigonometric	trigonometric	ADJ
stem-5537	48	88	functions	function	NOUN
stem-5537	48	89	,	,	PUNCT
stem-5537	48	90	is	be	AUX
stem-5537	48	91	considered	consider	VERB
stem-5537	48	92	as	as	ADP
stem-5537	48	93	one	one	NUM
stem-5537	48	94	of	of	ADP
stem-5537	48	95	the	the	DET
stem-5537	48	96	methodological	methodological	ADJ
stem-5537	48	97	problems	problem	NOUN
stem-5537	48	98	.	.	PUNCT
stem-5537	49	1	we	we	PRON
stem-5537	49	2	bring	bring	VERB
stem-5537	49	3	readers	reader	NOUN
stem-5537	49	4	several	several	ADJ
stem-5537	49	5	methods	method	NOUN
stem-5537	49	6	that	that	PRON
stem-5537	49	7	make	make	VERB
stem-5537	49	8	it	it	PRON
stem-5537	49	9	easier	easy	ADJ
stem-5537	49	10	to	to	PART
stem-5537	49	11	memorize	memorize	VERB
stem-5537	49	12	the	the	DET
stem-5537	49	13	values	value	NOUN
stem-5537	49	14	of	of	ADP
stem-5537	49	15	trigonometric	trigonometric	ADJ
stem-5537	49	16	functions	function	NOUN
stem-5537	49	17	.	.	PUNCT
stem-5537	50	1	method	method	NOUN
stem-5537	50	2	1	1	NUM
stem-5537	50	3	.	.	PUNCT
stem-5537	51	1	in	in	ADP
stem-5537	51	2	this	this	DET
stem-5537	51	3	case	case	NOUN
stem-5537	51	4	,	,	PUNCT
stem-5537	51	5	memorization	memorization	NOUN
stem-5537	51	6	of	of	ADP
stem-5537	51	7	the	the	DET
stem-5537	51	8	angular	angular	ADJ
stem-5537	51	9	values	value	NOUN
stem-5537	51	10	of	of	ADP
stem-5537	51	11	the	the	DET
stem-5537	51	12	sine	sine	NOUN
stem-5537	51	13	,	,	PUNCT
stem-5537	51	14	cosine	cosine	NOUN
stem-5537	51	15	,	,	PUNCT
stem-5537	51	16	tangent	tangent	NOUN
stem-5537	51	17	and	and	CCONJ
stem-5537	51	18	cotangent	cotangent	NOUN
stem-5537	51	19	is	be	AUX
stem-5537	51	20	carried	carry	VERB
stem-5537	51	21	out	out	ADP
stem-5537	51	22	using	use	VERB
stem-5537	51	23	the	the	DET
stem-5537	51	24	mnemonic	mnemonic	ADJ
stem-5537	51	25	rule	rule	NOUN
stem-5537	51	26	“	"	PUNCT
stem-5537	51	27	trigonometry	trigonometry	NOUN
stem-5537	51	28	in	in	ADP
stem-5537	51	29	your	your	PRON
stem-5537	51	30	palm	palm	NOUN
stem-5537	51	31	"	"	PUNCT
stem-5537	51	32	.	.	PUNCT
stem-5537	52	1	through	through	ADP
stem-5537	52	2	this	this	DET
stem-5537	52	3	rule	rule	NOUN
stem-5537	52	4	,	,	PUNCT
stem-5537	52	5	it	it	PRON
stem-5537	52	6	126	126	NUM
stem-5537	52	7	american	american	ADJ
stem-5537	52	8	journal	journal	PROPN
stem-5537	52	9	of	of	ADP
stem-5537	52	10	language	language	NOUN
stem-5537	52	11	,	,	PUNCT
stem-5537	52	12	literacy	literacy	NOUN
stem-5537	52	13	and	and	CCONJ
stem-5537	52	14	learning	learn	VERB
stem-5537	52	15	in	in	ADP
stem-5537	52	16	stem	stem	NOUN
stem-5537	52	17	education	education	NOUN
stem-5537	52	18	www	www	PROPN
stem-5537	52	19	.	.	PUNCT
stem-5537	53	1	grnjournal.us	grnjournal.us	X
stem-5537	53	2	is	be	AUX
stem-5537	53	3	much	much	ADV
stem-5537	53	4	easier	easy	ADJ
stem-5537	53	5	to	to	PART
stem-5537	53	6	memorize	memorize	VERB
stem-5537	53	7	the	the	DET
stem-5537	53	8	values	value	NOUN
stem-5537	53	9	of	of	ADP
stem-5537	53	10	sine	sine	NOUN
stem-5537	53	11	,	,	PUNCT
stem-5537	53	12	cosine	cosine	NOUN
stem-5537	53	13	,	,	PUNCT
stem-5537	53	14	tangent	tangent	NOUN
stem-5537	53	15	and	and	CCONJ
stem-5537	53	16	cotangent	cotangent	NOUN
stem-5537	53	17	at	at	ADP
stem-5537	53	18	0º	0º	NOUN
stem-5537	53	19	,	,	PUNCT
stem-5537	53	20	30º	30º	NOUN
stem-5537	53	21	,	,	PUNCT
stem-5537	53	22	45º	45º	NOUN
stem-5537	53	23	,	,	PUNCT
stem-5537	53	24	60º	60º	NOUN
stem-5537	53	25	,	,	PUNCT
stem-5537	53	26	90º	90º	NUM
stem-5537	53	27	degrees	degree	NOUN
stem-5537	53	28	.	.	PUNCT
stem-5537	54	1	the	the	DET
stem-5537	54	2	rule	rule	NOUN
stem-5537	54	3	is	be	AUX
stem-5537	54	4	as	as	SCONJ
stem-5537	54	5	follows	follow	VERB
stem-5537	54	6	:	:	PUNCT
stem-5537	54	7	starting	start	VERB
stem-5537	54	8	with	with	ADP
stem-5537	54	9	the	the	DET
stem-5537	54	10	little	little	ADJ
stem-5537	54	11	fingers	finger	NOUN
stem-5537	54	12	of	of	ADP
stem-5537	54	13	our	our	PRON
stem-5537	54	14	left	left	ADJ
stem-5537	54	15	hand	hand	NOUN
stem-5537	54	16	,	,	PUNCT
stem-5537	54	17	the	the	DET
stem-5537	54	18	thumb	thumb	NOUN
stem-5537	54	19	is	be	AUX
stem-5537	54	20	numbered	number	VERB
stem-5537	54	21	from	from	ADP
stem-5537	54	22	0	0	NUM
stem-5537	54	23	to	to	ADP
stem-5537	54	24	4	4	NUM
stem-5537	54	25	.	.	PUNCT
stem-5537	55	1	let	let	VERB
stem-5537	55	2	the	the	DET
stem-5537	55	3	little	little	ADJ
stem-5537	55	4	finger-0º	finger-0º	NOUN
stem-5537	55	5	,	,	PUNCT
stem-5537	55	6	the	the	DET
stem-5537	55	7	unnamed	unnamed	ADJ
stem-5537	55	8	finger-30º	finger-30º	PROPN
stem-5537	55	9	,	,	PUNCT
stem-5537	55	10	the	the	DET
stem-5537	55	11	middle	middle	PROPN
stem-5537	55	12	finger-45º	finger-45º	PROPN
stem-5537	55	13	,	,	PUNCT
stem-5537	55	14	the	the	DET
stem-5537	55	15	pointing	point	VERB
stem-5537	55	16	finger-60º	finger-60º	PROPN
stem-5537	55	17	and	and	CCONJ
stem-5537	55	18	the	the	DET
stem-5537	55	19	thumb-90º.	thumb-90º.	NOUN
stem-5537	55	20	this	this	DET
stem-5537	55	21	simple	simple	ADJ
stem-5537	55	22	sin/	sin/	NOUN
stem-5537	55	23	cos	cos	ADP
stem-5537	55	24	2	2	NUM
stem-5537	55	25	n	n	NUM
stem-5537	55	26			NOUN
stem-5537	55	27	(	(	PUNCT
stem-5537	55	28	here	here	ADV
stem-5537	55	29	0,1,2,3,4n	0,1,2,3,4n	NOUN
stem-5537	55	30			NOUN
stem-5537	55	31	)	)	PUNCT
stem-5537	55	32	using	use	VERB
stem-5537	55	33	the	the	DET
stem-5537	55	34	formula	formula	NOUN
stem-5537	55	35	.	.	PUNCT
stem-5537	56	1	sinusning	sinusne	VERB
stem-5537	56	2	0º	0º	NOUN
stem-5537	56	3	,	,	PUNCT
stem-5537	56	4	30º	30º	NOUN
stem-5537	56	5	,	,	PUNCT
stem-5537	56	6	45º	45º	NOUN
stem-5537	56	7	,	,	PUNCT
stem-5537	56	8	60º	60º	NOUN
stem-5537	56	9	,	,	PUNCT
stem-5537	56	10	90º	90º	NOUN
stem-5537	56	11	from	from	ADP
stem-5537	56	12	a	a	DET
stem-5537	56	13	small	small	ADJ
stem-5537	56	14	comma	comma	NOUN
stem-5537	56	15	to	to	ADP
stem-5537	56	16	calculating	calculate	VERB
stem-5537	56	17	the	the	DET
stem-5537	56	18	values	value	NOUN
stem-5537	56	19	in	in	ADP
stem-5537	56	20	degrees	degree	NOUN
stem-5537	56	21	upwards	upwards	ADV
stem-5537	56	22	by	by	ADP
stem-5537	56	23	the	the	DET
stem-5537	56	24	numbering	numbering	NOUN
stem-5537	56	25	of	of	ADP
stem-5537	56	26	the	the	DET
stem-5537	56	27	fingers	finger	NOUN
stem-5537	56	28	sin	sin	VERB
stem-5537	56	29	2	2	NUM
stem-5537	56	30	n	n	NOUN
stem-5537	56	31	x	x	NOUN
stem-5537	57	1			NOUN
stem-5537	57	2	we	we	PRON
stem-5537	57	3	find	find	VERB
stem-5537	57	4	using	use	VERB
stem-5537	57	5	the	the	DET
stem-5537	57	6	formula	formula	NOUN
stem-5537	57	7	.	.	PUNCT
stem-5537	58	1	for	for	ADP
stem-5537	58	2	example	example	NOUN
stem-5537	58	3	,	,	PUNCT
stem-5537	58	4	0	0	NUM
stem-5537	58	5	0	0	NUM
stem-5537	58	6	0	0	NUM
stem-5537	58	7	0	0	NUM
stem-5537	58	8	00	00	NUM
stem-5537	58	9	1	1	NUM
stem-5537	58	10	1	1	NUM
stem-5537	58	11	2	2	NUM
stem-5537	58	12	3	3	NUM
stem-5537	58	13	4	4	NUM
stem-5537	58	14	sin0	sin0	NOUN
stem-5537	58	15	0	0	NUM
stem-5537	58	16	,	,	PUNCT
stem-5537	58	17	sin30	sin30	NOUN
stem-5537	58	18	,	,	PUNCT
stem-5537	58	19	sin	sin	NOUN
stem-5537	58	20	45	45	NUM
stem-5537	58	21	,	,	PUNCT
stem-5537	58	22	sin60	sin60	ADJ
stem-5537	58	23	,	,	PUNCT
stem-5537	58	24	sin90	sin90	PROPN
stem-5537	58	25	1	1	NUM
stem-5537	58	26	.	.	SYM
stem-5537	58	27	2	2	NUM
stem-5537	58	28	2	2	NUM
stem-5537	58	29	2	2	NUM
stem-5537	58	30	2	2	NUM
stem-5537	58	31	2	2	NUM
stem-5537	58	32	2	2	NUM
stem-5537	58	33			NUM
stem-5537	58	34			NOUN
stem-5537	58	35			PRON
stem-5537	59	1			PRON
stem-5537	60	1			NUM
stem-5537	60	2			NUM
stem-5537	61	1			NUM
stem-5537	61	2			PROPN
stem-5537	61	3	cosinus	cosinus	NOUN
stem-5537	61	4	0º	0º	NOUN
stem-5537	61	5	,	,	PUNCT
stem-5537	61	6	30º	30º	NOUN
stem-5537	61	7	,	,	PUNCT
stem-5537	61	8	45º	45º	NOUN
stem-5537	61	9	,	,	PUNCT
stem-5537	61	10	60º	60º	NOUN
stem-5537	61	11	,	,	PUNCT
stem-5537	61	12	90º	90º	X
stem-5537	61	13	to	to	PART
stem-5537	61	14	calculate	calculate	VERB
stem-5537	61	15	the	the	DET
stem-5537	61	16	values	value	NOUN
stem-5537	61	17	in	in	ADP
stem-5537	61	18	the	the	DET
stem-5537	61	19	grades	grade	NOUN
stem-5537	61	20	,	,	PUNCT
stem-5537	61	21	finger	finger	NOUN
stem-5537	61	22	numbering	numbering	NOUN
stem-5537	61	23	is	be	AUX
stem-5537	61	24	done	do	VERB
stem-5537	61	25	in	in	ADP
stem-5537	61	26	reverse	reverse	NOUN
stem-5537	61	27	,	,	PUNCT
stem-5537	61	28	i.e.	i.e.	X
stem-5537	61	29	starting	start	VERB
stem-5537	61	30	with	with	ADP
stem-5537	61	31	the	the	DET
stem-5537	61	32	thumbs	thumb	NOUN
stem-5537	61	33	,	,	PUNCT
stem-5537	61	34	the	the	DET
stem-5537	61	35	little	little	ADJ
stem-5537	61	36	finger	finger	NOUN
stem-5537	61	37	is	be	AUX
stem-5537	61	38	numbered	number	VERB
stem-5537	61	39	from	from	ADP
stem-5537	61	40	0	0	NUM
stem-5537	61	41	to	to	ADP
stem-5537	61	42	4	4	NUM
stem-5537	61	43	.	.	PUNCT
stem-5537	61	44	by	by	ADP
stem-5537	61	45	finger	finger	NOUN
stem-5537	61	46	numbering	number	VERB
stem-5537	61	47	cos	cos	ADP
stem-5537	61	48	2	2	NUM
stem-5537	61	49	n	n	NOUN
stem-5537	61	50	x	x	NOUN
stem-5537	61	51			NOUN
stem-5537	61	52	using	use	VERB
stem-5537	61	53	the	the	DET
stem-5537	61	54	formula	formula	NOUN
stem-5537	61	55	,	,	PUNCT
stem-5537	61	56	the	the	DET
stem-5537	61	57	values	value	NOUN
stem-5537	61	58	of	of	ADP
stem-5537	61	59	cosine	cosine	NOUN
stem-5537	61	60	at	at	ADP
stem-5537	61	61	0º	0º	NOUN
stem-5537	61	62	,	,	PUNCT
stem-5537	61	63	30º	30º	NOUN
stem-5537	61	64	,	,	PUNCT
stem-5537	61	65	45º	45º	NOUN
stem-5537	61	66	,	,	PUNCT
stem-5537	61	67	60º	60º	NUM
stem-5537	61	68	,	,	PUNCT
stem-5537	61	69	90º	90º	NUM
stem-5537	61	70	degrees	degree	NOUN
stem-5537	61	71	are	be	AUX
stem-5537	61	72	found	find	VERB
stem-5537	61	73	(	(	PUNCT
stem-5537	61	74	figure	figure	NOUN
stem-5537	61	75	1	1	NUM
stem-5537	61	76	)	)	PUNCT
stem-5537	61	77	.	.	PUNCT
stem-5537	62	1	when	when	SCONJ
stem-5537	62	2	calculating	calculate	VERB
stem-5537	62	3	the	the	DET
stem-5537	62	4	graded	grade	VERB
stem-5537	62	5	values	value	NOUN
stem-5537	62	6	of	of	ADP
stem-5537	62	7	the	the	DET
stem-5537	62	8	tangent	tangent	NOUN
stem-5537	62	9	and	and	CCONJ
stem-5537	62	10	the	the	DET
stem-5537	62	11	cotangent	cotangent	NOUN
stem-5537	62	12	sin	sin	NOUN
stem-5537	62	13	cos	cos	ADP
stem-5537	62	14	x	x	PROPN
stem-5537	62	15	tgx	tgx	PROPN
stem-5537	62	16	x	x	PUNCT
stem-5537	62	17			PROPN
stem-5537	62	18	and	and	CCONJ
stem-5537	62	19	cos	cos	ADP
stem-5537	62	20	sin	sin	NOUN
stem-5537	62	21	x	x	PUNCT
stem-5537	62	22	ctgx	ctgx	VERB
stem-5537	62	23	x	x	PUNCT
stem-5537	63	1			NOUN
stem-5537	63	2	formulas	formula	NOUN
stem-5537	63	3	are	be	AUX
stem-5537	63	4	used	use	VERB
stem-5537	63	5	.	.	PUNCT
stem-5537	64	1	now	now	ADV
stem-5537	64	2	,	,	PUNCT
stem-5537	64	3	in	in	ADP
stem-5537	64	4	the	the	DET
stem-5537	64	5	development	development	NOUN
stem-5537	64	6	of	of	ADP
stem-5537	64	7	logical	logical	ADJ
stem-5537	64	8	memory	memory	NOUN
stem-5537	64	9	,	,	PUNCT
stem-5537	64	10	we	we	PRON
stem-5537	64	11	will	will	AUX
stem-5537	64	12	bring	bring	VERB
stem-5537	64	13	another	another	PRON
stem-5537	64	14	of	of	ADP
stem-5537	64	15	the	the	DET
stem-5537	64	16	methods	method	NOUN
stem-5537	64	17	aimed	aim	VERB
stem-5537	64	18	at	at	ADP
stem-5537	64	19	the	the	DET
stem-5537	64	20	implementation	implementation	NOUN
stem-5537	64	21	of	of	ADP
stem-5537	64	22	mnemonic	mnemonic	ADJ
stem-5537	64	23	actions	action	NOUN
stem-5537	64	24	,	,	PUNCT
stem-5537	64	25	in	in	ADP
stem-5537	64	26	particular	particular	ADJ
stem-5537	64	27	,	,	PUNCT
stem-5537	64	28	that	that	PRON
stem-5537	64	29	will	will	AUX
stem-5537	64	30	make	make	VERB
stem-5537	64	31	it	it	PRON
stem-5537	64	32	easier	easy	ADJ
stem-5537	64	33	for	for	SCONJ
stem-5537	64	34	students	student	NOUN
stem-5537	64	35	to	to	PART
stem-5537	64	36	memorize	memorize	VERB
stem-5537	64	37	the	the	DET
stem-5537	64	38	"	"	PUNCT
stem-5537	64	39	table	table	NOUN
stem-5537	64	40	"	"	PUNCT
stem-5537	64	41	values	value	NOUN
stem-5537	64	42	of	of	ADP
stem-5537	64	43	trigonometric	trigonometric	ADJ
stem-5537	64	44	functions	function	NOUN
stem-5537	64	45	.	.	PUNCT
stem-5537	65	1	method	method	NOUN
stem-5537	65	2	2	2	NUM
stem-5537	65	3	.	.	PUNCT
stem-5537	66	1	a	a	DET
stem-5537	66	2	unit	unit	NOUN
stem-5537	66	3	circle	circle	NOUN
stem-5537	66	4	is	be	AUX
stem-5537	66	5	drawn	draw	VERB
stem-5537	66	6	,	,	PUNCT
stem-5537	66	7	the	the	DET
stem-5537	66	8	center	center	NOUN
stem-5537	66	9	of	of	ADP
stem-5537	66	10	which	which	PRON
stem-5537	66	11	is	be	AUX
stem-5537	66	12	in	in	ADP
stem-5537	66	13	a	a	DET
stem-5537	66	14	system	system	NOUN
stem-5537	66	15	of	of	ADP
stem-5537	66	16	right	right	ADV
stem-5537	66	17	-	-	PUNCT
stem-5537	66	18	angled	angle	VERB
stem-5537	66	19	kooordanas	kooordana	NOUN
stem-5537	66	20	.	.	PUNCT
stem-5537	67	1	let	let	VERB
stem-5537	67	2	the	the	DET
stem-5537	67	3	light	light	NOUN
stem-5537	67	4	passing	pass	VERB
stem-5537	67	5	through	through	ADP
stem-5537	67	6	the	the	DET
stem-5537	67	7	point	point	NOUN
stem-5537	67	8	cut	cut	VERB
stem-5537	67	9	the	the	DET
stem-5537	67	10	unit	unit	NOUN
stem-5537	67	11	circle	circle	NOUN
stem-5537	67	12	at	at	ADP
stem-5537	67	13	127	127	NUM
stem-5537	67	14	american	american	ADJ
stem-5537	67	15	journal	journal	PROPN
stem-5537	67	16	of	of	ADP
stem-5537	67	17	language	language	NOUN
stem-5537	67	18	,	,	PUNCT
stem-5537	67	19	literacy	literacy	NOUN
stem-5537	67	20	and	and	CCONJ
stem-5537	67	21	learning	learn	VERB
stem-5537	67	22	in	in	ADP
stem-5537	67	23	stem	stem	NOUN
stem-5537	67	24	education	education	NOUN
stem-5537	67	25	www	www	NOUN
stem-5537	67	26	.	.	PUNCT
stem-5537	68	1	grnjournal.us	grnjournal.us	X
stem-5537	68	2	the	the	DET
stem-5537	68	3	point	point	NOUN
stem-5537	68	4	so	so	SCONJ
stem-5537	68	5	that	that	SCONJ
stem-5537	68	6	it	it	PRON
stem-5537	68	7	forms	form	VERB
stem-5537	68	8	an	an	DET
stem-5537	68	9	angle	angle	NOUN
stem-5537	68	10	with	with	ADP
stem-5537	68	11	the	the	DET
stem-5537	68	12	positive	positive	ADJ
stem-5537	68	13	direction	direction	NOUN
stem-5537	68	14	of	of	ADP
stem-5537	68	15	the	the	DET
stem-5537	68	16	abscissa	abscissa	ADJ
stem-5537	68	17	axis	axis	NOUN
stem-5537	68	18	(	(	PUNCT
stem-5537	68	19	figure	figure	NOUN
stem-5537	68	20	2	2	NUM
stem-5537	68	21	)	)	PUNCT
stem-5537	68	22	.	.	PUNCT
stem-5537	69	1	oab	oab	PROPN
stem-5537	69	2	from	from	ADP
stem-5537	69	3	the	the	DET
stem-5537	69	4	triangle	triangle	NOUN
stem-5537	69	5	sin	sin	NOUN
stem-5537	69	6	,	,	PUNCT
stem-5537	69	7	cosy	cosy	PROPN
stem-5537	69	8	x	x	PROPN
stem-5537	69	9			PROPN
stem-5537	69	10			PROPN
stem-5537	69	11	.	.	PUNCT
stem-5537	70	1	the	the	DET
stem-5537	70	2	"	"	PUNCT
stem-5537	70	3	table	table	NOUN
stem-5537	70	4	"	"	PUNCT
stem-5537	70	5	values	value	NOUN
stem-5537	70	6	are	be	AUX
stem-5537	70	7	found	find	VERB
stem-5537	70	8	only	only	ADV
stem-5537	70	9	in	in	ADP
stem-5537	70	10	the	the	DET
stem-5537	70	11	first	first	ADJ
stem-5537	70	12	quarter	quarter	NOUN
stem-5537	70	13	,	,	PUNCT
stem-5537	70	14	using	use	VERB
stem-5537	70	15	the	the	DET
stem-5537	70	16	periodicity	periodicity	NOUN
stem-5537	70	17	of	of	ADP
stem-5537	70	18	the	the	DET
stem-5537	70	19	trigonometric	trigonometric	ADJ
stem-5537	70	20	functions	function	NOUN
stem-5537	70	21	to	to	ADP
stem-5537	70	22	the	the	DET
stem-5537	70	23	values	value	NOUN
stem-5537	70	24	found	find	VERB
stem-5537	70	25	n	n	NOUN
stem-5537	70	26	(	(	PUNCT
stem-5537	70	27	0	0	NUM
stem-5537	70	28	,	,	PUNCT
stem-5537	70	29	1	1	NUM
stem-5537	70	30	,	,	PUNCT
stem-5537	70	31	2,	2,	NUM
stem-5537	70	32	...	...	PUNCT
stem-5537	70	33	n	n	NUM
stem-5537	70	34			NOUN
stem-5537	70	35			PROPN
stem-5537	70	36			PROPN
stem-5537	70	37	)	)	PUNCT
stem-5537	71	1	the	the	DET
stem-5537	71	2	values	value	NOUN
stem-5537	71	3	that	that	PRON
stem-5537	71	4	add	add	VERB
stem-5537	71	5	up	up	ADP
stem-5537	71	6	the	the	DET
stem-5537	71	7	number	number	NOUN
stem-5537	71	8	can	can	AUX
stem-5537	71	9	be	be	AUX
stem-5537	71	10	found	find	VERB
stem-5537	71	11	.	.	PUNCT
stem-5537	72	1	this	this	DET
stem-5537	72	2	method	method	NOUN
stem-5537	72	3	is	be	AUX
stem-5537	72	4	based	base	VERB
stem-5537	72	5	on	on	ADP
stem-5537	72	6	the	the	DET
stem-5537	72	7	definition	definition	NOUN
stem-5537	72	8	of	of	ADP
stem-5537	72	9	sine	sine	NOUN
stem-5537	72	10	,	,	PUNCT
stem-5537	72	11	cosine	cosine	NOUN
stem-5537	72	12	,	,	PUNCT
stem-5537	72	13	tangent	tangent	NOUN
stem-5537	72	14	and	and	CCONJ
stem-5537	72	15	cotangent	cotangent	NOUN
stem-5537	72	16	.	.	PUNCT
stem-5537	73	1	for	for	ADP
stem-5537	73	2	example	example	NOUN
stem-5537	73	3	0sin0	0sin0	NUM
stem-5537	73	4	0	0	NUM
stem-5537	73	5	ga	ga	NOUN
stem-5537	73	6	and	and	CCONJ
stem-5537	73	7	0cos0	0cos0	NOUN
stem-5537	73	8	1	1	PROPN
stem-5537	73	9	is	be	AUX
stem-5537	73	10	equal	equal	ADJ
stem-5537	73	11	because	because	SCONJ
stem-5537	73	12	n	n	PRON
stem-5537	73	13	nur	nur	VERB
stem-5537	73	14	ox	ox	NOUN
stem-5537	73	15	overlaps	overlap	VERB
stem-5537	73	16	the	the	DET
stem-5537	73	17	axis	axis	NOUN
stem-5537	73	18	.	.	PUNCT
stem-5537	74	1	if	if	SCONJ
stem-5537	74	2	n	n	PRON
stem-5537	74	3	nur	nur	VERB
stem-5537	74	4	ox	ox	NOUN
stem-5537	74	5	with	with	ADP
stem-5537	74	6	axis	axis	NOUN
stem-5537	74	7	030	030	NUM
stem-5537	74	8	if	if	SCONJ
stem-5537	74	9	the	the	DET
stem-5537	74	10	angle	angle	NOUN
stem-5537	74	11	is	be	AUX
stem-5537	74	12	formed	form	VERB
stem-5537	74	13	,	,	PUNCT
stem-5537	74	14	oab	oab	PROPN
stem-5537	74	15	from	from	ADP
stem-5537	74	16	the	the	DET
stem-5537	74	17	triangle	triangle	NOUN
stem-5537	74	18	030	030	NUM
stem-5537	74	19	using	use	VERB
stem-5537	74	20	the	the	DET
stem-5537	74	21	fact	fact	NOUN
stem-5537	74	22	that	that	SCONJ
stem-5537	74	23	the	the	DET
stem-5537	74	24	catheter	catheter	NOUN
stem-5537	74	25	lying	lie	VERB
stem-5537	74	26	opposite	opposite	ADP
stem-5537	74	27	the	the	DET
stem-5537	74	28	angle	angle	NOUN
stem-5537	74	29	is	be	AUX
stem-5537	74	30	half	half	DET
stem-5537	74	31	the	the	DET
stem-5537	74	32	hypotenuse	hypotenuse	NOUN
stem-5537	74	33	0	0	NUM
stem-5537	74	34	1	1	NUM
stem-5537	74	35	sin30	sin30	NOUN
stem-5537	74	36	2	2	NUM
stem-5537	74	37	ab	ab	NOUN
stem-5537	74	38			NOUN
stem-5537	74	39	comes	come	VERB
stem-5537	74	40	from	from	ADP
stem-5537	74	41	.	.	PUNCT
stem-5537	75	1	0cos30	0cos30	NOUN
stem-5537	76	1	ob	ob	NOUN
stem-5537	76	2	the	the	DET
stem-5537	76	3	value	value	NOUN
stem-5537	76	4	is	be	AUX
stem-5537	76	5	found	find	VERB
stem-5537	76	6	using	use	VERB
stem-5537	76	7	pythagorean	pythagorean	PROPN
stem-5537	76	8	theorem	theorem	NOUN
stem-5537	76	9	:	:	PUNCT
stem-5537	76	10	0	0	NUM
stem-5537	76	11	2	2	NUM
stem-5537	76	12	2	2	NUM
stem-5537	76	13	1	1	NUM
stem-5537	76	14	3	3	NUM
stem-5537	76	15	cos30	cos30	ADV
stem-5537	76	16	1	1	NUM
stem-5537	76	17	.	.	SYM
stem-5537	76	18	4	4	NUM
stem-5537	76	19	2	2	NUM
stem-5537	76	20	ob	ob	NOUN
stem-5537	76	21	oa	oa	NOUN
stem-5537	76	22	ab	ab	PROPN
stem-5537	77	1			PROPN
stem-5537	78	1			PROPN
stem-5537	78	2			PROPN
stem-5537	78	3			PROPN
stem-5537	78	4			NOUN
stem-5537	78	5	if	if	SCONJ
stem-5537	78	6	n	n	PRON
stem-5537	78	7	nur	nur	VERB
stem-5537	78	8	ox	ox	NOUN
stem-5537	78	9	with	with	ADP
stem-5537	78	10	axis	axis	NOUN
stem-5537	78	11	045	045	NUM
stem-5537	78	12	if	if	SCONJ
stem-5537	78	13	the	the	DET
stem-5537	78	14	angle	angle	NOUN
stem-5537	78	15	is	be	AUX
stem-5537	78	16	formed	form	VERB
stem-5537	78	17	,	,	PUNCT
stem-5537	78	18	oab	oab	PROPN
stem-5537	78	19	the	the	DET
stem-5537	78	20	triangle	triangle	NOUN
stem-5537	78	21	becomes	become	VERB
stem-5537	78	22	an	an	DET
stem-5537	78	23	equilateral	equilateral	ADJ
stem-5537	78	24	right	right	ADJ
stem-5537	78	25	triangle	triangle	NOUN
stem-5537	78	26	:	:	PUNCT
stem-5537	78	27	0	0	X
stem-5537	78	28	0sin45	0sin45	NUM
stem-5537	78	29	cos45	cos45	NOUN
stem-5537	78	30	ob	ob	INTJ
stem-5537	78	31	ab	ab	NOUN
stem-5537	78	32			PROPN
stem-5537	79	1			ADJ
stem-5537	79	2	.	.	PUNCT
stem-5537	80	1	by	by	ADP
stem-5537	80	2	pythagorean	pythagorean	PROPN
stem-5537	80	3	theorem	theorem	VERB
stem-5537	80	4	1	1	NUM
stem-5537	80	5	2	2	NUM
stem-5537	80	6	2	2	NUM
stem-5537	80	7	2	2	NUM
stem-5537	80	8	ob	ob	NOUN
stem-5537	80	9	ab	ab	NOUN
stem-5537	80	10			PROPN
stem-5537	81	1			ADJ
stem-5537	81	2	.	.	PUNCT
stem-5537	82	1	if	if	SCONJ
stem-5537	82	2	n	n	PRON
stem-5537	82	3	nur	nur	VERB
stem-5537	82	4	ox	ox	NOUN
stem-5537	82	5	with	with	ADP
stem-5537	82	6	axis	axis	NOUN
stem-5537	82	7	060	060	NUM
stem-5537	82	8	if	if	SCONJ
stem-5537	82	9	the	the	DET
stem-5537	82	10	angle	angle	NOUN
stem-5537	82	11	is	be	AUX
stem-5537	82	12	formed	form	VERB
stem-5537	82	13	,	,	PUNCT
stem-5537	82	14	then	then	ADV
stem-5537	82	15	oab	oab	PROPN
stem-5537	82	16	from	from	ADP
stem-5537	82	17	the	the	DET
stem-5537	82	18	triangle	triangle	NOUN
stem-5537	82	19	030oab	030oab	NOUN
stem-5537	82	20			NUM
stem-5537	82	21	is	be	AUX
stem-5537	82	22	,	,	PUNCT
stem-5537	82	23	and	and	CCONJ
stem-5537	82	24	the	the	DET
stem-5537	82	25	catheter	catheter	NOUN
stem-5537	82	26	opposite	opposite	ADV
stem-5537	82	27	it	it	PRON
stem-5537	82	28	is	be	AUX
stem-5537	82	29	half	half	DET
stem-5537	82	30	the	the	DET
stem-5537	82	31	hypetenuse	hypetenuse	NOUN
stem-5537	82	32	:	:	PUNCT
stem-5537	82	33	01	01	NUM
stem-5537	82	34	cos60	cos60	NOUN
stem-5537	82	35	2	2	NUM
stem-5537	82	36	ob	ob	NOUN
stem-5537	82	37			NOUN
stem-5537	82	38			PROPN
stem-5537	82	39	.	.	PUNCT
stem-5537	83	1	according	accord	VERB
stem-5537	83	2	to	to	ADP
stem-5537	83	3	the	the	DET
stem-5537	83	4	pythagorean	pythagorean	PROPN
stem-5537	83	5	theorem	theorem	VERB
stem-5537	83	6	2	2	NUM
stem-5537	83	7	2	2	NUM
stem-5537	83	8	01	01	NUM
stem-5537	83	9	3	3	NUM
stem-5537	83	10	1	1	NUM
stem-5537	83	11	sin60	sin60	NOUN
stem-5537	83	12	4	4	NUM
stem-5537	83	13	2	2	NUM
stem-5537	83	14	ab	ab	NOUN
stem-5537	83	15	oa	oa	NOUN
stem-5537	83	16	ob	ob	PROPN
stem-5537	83	17			PROPN
stem-5537	83	18			PROPN
stem-5537	83	19			PROPN
stem-5537	83	20			NUM
stem-5537	83	21			NUM
stem-5537	83	22	origin	origin	NOUN
stem-5537	83	23	.	.	PUNCT
stem-5537	84	1	if	if	SCONJ
stem-5537	84	2	n	n	PRON
stem-5537	84	3	nur	nur	VERB
stem-5537	84	4	ox	ox	NOUN
stem-5537	84	5	with	with	ADP
stem-5537	84	6	axis	axis	NOUN
stem-5537	84	7	090	090	NUM
stem-5537	84	8	if	if	SCONJ
stem-5537	84	9	the	the	DET
stem-5537	84	10	angle	angle	NOUN
stem-5537	84	11	is	be	AUX
stem-5537	84	12	formed	form	VERB
stem-5537	84	13	,	,	PUNCT
stem-5537	84	14	01	01	NUM
stem-5537	84	15	sin90ab	sin90ab	NOUN
stem-5537	84	16			NUM
stem-5537	85	1			PROPN
stem-5537	85	2	va	va	PROPN
stem-5537	85	3	00	00	PUNCT
stem-5537	85	4	cos90ob	cos90ob	ADJ
stem-5537	86	1			ADJ
stem-5537	86	2			PROPN
stem-5537	86	3	.	.	PUNCT
stem-5537	87	1	so	so	ADV
stem-5537	87	2	that	that	SCONJ
stem-5537	87	3	the	the	DET
stem-5537	87	4	values	value	NOUN
stem-5537	87	5	of	of	ADP
stem-5537	87	6	the	the	DET
stem-5537	87	7	sine	sine	NOUN
stem-5537	87	8	and	and	CCONJ
stem-5537	87	9	cosine	cosine	NOUN
stem-5537	87	10	are	be	AUX
stem-5537	87	11	in	in	ADP
stem-5537	87	12	reverse	reverse	ADJ
stem-5537	87	13	order	order	NOUN
stem-5537	87	14	.	.	PUNCT
stem-5537	88	1	to	to	PART
stem-5537	88	2	make	make	VERB
stem-5537	88	3	it	it	PRON
stem-5537	88	4	easier	easy	ADJ
stem-5537	88	5	for	for	SCONJ
stem-5537	88	6	students	student	NOUN
stem-5537	88	7	to	to	PART
stem-5537	88	8	memorize	memorize	VERB
stem-5537	88	9	the	the	DET
stem-5537	88	10	values	value	NOUN
stem-5537	88	11	of	of	ADP
stem-5537	88	12	trigonometric	trigonometric	ADJ
stem-5537	88	13	functions	function	NOUN
stem-5537	88	14	,	,	PUNCT
stem-5537	88	15	it	it	PRON
stem-5537	88	16	is	be	AUX
stem-5537	88	17	good	good	ADJ
stem-5537	88	18	to	to	PART
stem-5537	88	19	present	present	VERB
stem-5537	88	20	them	they	PRON
stem-5537	88	21	in	in	ADP
stem-5537	88	22	the	the	DET
stem-5537	88	23	form	form	NOUN
stem-5537	88	24	of	of	ADP
stem-5537	88	25	a	a	DET
stem-5537	88	26	table	table	NOUN
stem-5537	88	27	and	and	CCONJ
stem-5537	88	28	describe	describe	VERB
stem-5537	88	29	the	the	DET
stem-5537	88	30	values	value	NOUN
stem-5537	88	31	in	in	ADP
stem-5537	88	32	it	it	PRON
stem-5537	88	33	diagonally	diagonally	ADV
stem-5537	88	34	(	(	PUNCT
stem-5537	88	35	table	table	NOUN
stem-5537	88	36	1	1	NUM
stem-5537	88	37	)	)	PUNCT
stem-5537	88	38	.	.	PUNCT
stem-5537	89	1	such	such	DET
stem-5537	89	2	a	a	DET
stem-5537	89	3	table	table	NOUN
stem-5537	89	4	speeds	speed	VERB
stem-5537	89	5	up	up	ADP
stem-5537	89	6	the	the	DET
stem-5537	89	7	search	search	NOUN
stem-5537	89	8	for	for	ADP
stem-5537	89	9	the	the	DET
stem-5537	89	10	desired	desire	VERB
stem-5537	89	11	values	value	NOUN
stem-5537	89	12	,	,	PUNCT
stem-5537	89	13	since	since	SCONJ
stem-5537	89	14	no	no	DET
stem-5537	89	15	other	other	ADJ
stem-5537	89	16	values	value	NOUN
stem-5537	89	17	are	be	AUX
stem-5537	89	18	listed	list	VERB
stem-5537	89	19	in	in	ADP
stem-5537	89	20	this	this	DET
stem-5537	89	21	table	table	NOUN
stem-5537	89	22	.	.	PUNCT
stem-5537	90	1	table	table	NOUN
stem-5537	90	2	1	1	NUM
stem-5537	90	3	.	.	PUNCT
stem-5537	91	1	cos	cos	PROPN
stem-5537	91	2	sin	sin	PROPN
stem-5537	91	3	00	00	PUNCT
stem-5537	92	1	(	(	PUNCT
stem-5537	92	2	0	0	NUM
stem-5537	92	3	)	)	PUNCT
stem-5537	92	4	rad	rad	NOUN
stem-5537	92	5	030	030	NUM
stem-5537	92	6	(	(	PUNCT
stem-5537	92	7	)	)	PUNCT
stem-5537	92	8	6	6	NUM
stem-5537	92	9	rad	rad	NOUN
stem-5537	92	10			PROPN
stem-5537	92	11	045	045	NUM
stem-5537	92	12	(	(	PUNCT
stem-5537	92	13	)	)	PUNCT
stem-5537	92	14	4	4	NUM
stem-5537	92	15	rad	rad	NOUN
stem-5537	92	16			NOUN
stem-5537	92	17	060	060	NUM
stem-5537	92	18	(	(	PUNCT
stem-5537	92	19	)	)	PUNCT
stem-5537	92	20	3	3	NUM
stem-5537	92	21	rad	rad	NOUN
stem-5537	92	22			PROPN
stem-5537	92	23	090	090	PROPN
stem-5537	92	24	(	(	PUNCT
stem-5537	92	25	)	)	PUNCT
stem-5537	92	26	2	2	NUM
stem-5537	92	27	rad	rad	NOUN
stem-5537	92	28			NOUN
stem-5537	92	29	00	00	PUNCT
stem-5537	92	30	(	(	PUNCT
stem-5537	92	31	0	0	NUM
stem-5537	92	32	)	)	PUNCT
stem-5537	92	33	rad	rad	NOUN
stem-5537	92	34	0	0	NUM
stem-5537	92	35	030	030	NUM
stem-5537	92	36	(	(	PUNCT
stem-5537	92	37	)	)	PUNCT
stem-5537	92	38	6	6	NUM
stem-5537	92	39	rad	rad	NOUN
stem-5537	92	40			ADJ
stem-5537	92	41	1	1	NUM
stem-5537	92	42	2	2	NUM
stem-5537	92	43	045	045	NUM
stem-5537	92	44	(	(	PUNCT
stem-5537	92	45	)	)	PUNCT
stem-5537	92	46	4	4	NUM
stem-5537	92	47	rad	rad	NOUN
stem-5537	92	48			ADJ
stem-5537	92	49	2	2	NUM
stem-5537	92	50	2	2	NUM
stem-5537	92	51	128	128	NUM
stem-5537	92	52	american	american	ADJ
stem-5537	92	53	journal	journal	NOUN
stem-5537	92	54	of	of	ADP
stem-5537	92	55	language	language	NOUN
stem-5537	92	56	,	,	PUNCT
stem-5537	92	57	literacy	literacy	NOUN
stem-5537	92	58	and	and	CCONJ
stem-5537	92	59	learning	learn	VERB
stem-5537	92	60	in	in	ADP
stem-5537	92	61	stem	stem	NOUN
stem-5537	92	62	education	education	NOUN
stem-5537	92	63	www	www	PROPN
stem-5537	92	64	.	.	PUNCT
stem-5537	93	1	grnjournal.us	grnjournal.us	X
stem-5537	93	2	060	060	NUM
stem-5537	93	3	(	(	PUNCT
stem-5537	93	4	)	)	PUNCT
stem-5537	93	5	3	3	NUM
stem-5537	93	6	rad	rad	NOUN
stem-5537	93	7			NOUN
stem-5537	93	8	3	3	NUM
stem-5537	93	9	2	2	NUM
stem-5537	93	10	090	090	NUM
stem-5537	93	11	(	(	PUNCT
stem-5537	93	12	)	)	PUNCT
stem-5537	93	13	2	2	NUM
stem-5537	93	14	rad	rad	NOUN
stem-5537	93	15			NOUN
stem-5537	93	16	1	1	NUM
stem-5537	93	17	analysis	analysis	NOUN
stem-5537	93	18	and	and	CCONJ
stem-5537	93	19	results	result	NOUN
stem-5537	93	20	:	:	PUNCT
stem-5537	93	21	in	in	ADP
stem-5537	93	22	order	order	NOUN
stem-5537	93	23	not	not	PART
stem-5537	93	24	to	to	PART
stem-5537	93	25	confuse	confuse	VERB
stem-5537	93	26	where	where	SCONJ
stem-5537	93	27	to	to	PART
stem-5537	93	28	write	write	VERB
stem-5537	93	29	sine	sine	NOUN
stem-5537	93	30	and	and	CCONJ
stem-5537	93	31	cosine	cosine	NOUN
stem-5537	93	32	in	in	ADP
stem-5537	93	33	this	this	DET
stem-5537	93	34	table	table	NOUN
stem-5537	93	35	1	1	NUM
stem-5537	93	36	,	,	PUNCT
stem-5537	93	37	it	it	PRON
stem-5537	93	38	is	be	AUX
stem-5537	93	39	necessary	necessary	ADJ
stem-5537	93	40	to	to	PART
stem-5537	93	41	write	write	VERB
stem-5537	93	42	them	they	PRON
stem-5537	93	43	in	in	ADP
stem-5537	93	44	the	the	DET
stem-5537	93	45	situation	situation	NOUN
stem-5537	93	46	where	where	SCONJ
stem-5537	93	47	their	their	PRON
stem-5537	93	48	axes	axis	NOUN
stem-5537	93	49	are	be	AUX
stem-5537	93	50	located	locate	VERB
stem-5537	93	51	,	,	PUNCT
stem-5537	93	52	that	that	ADV
stem-5537	93	53	is	is	ADV
stem-5537	93	54	,	,	PUNCT
stem-5537	93	55	the	the	DET
stem-5537	93	56	sine	sine	NOUN
stem-5537	93	57	is	be	AUX
stem-5537	93	58	placed	place	VERB
stem-5537	93	59	in	in	ADP
stem-5537	93	60	a	a	DET
stem-5537	93	61	vertical	vertical	ADJ
stem-5537	93	62	column	column	NOUN
stem-5537	93	63	,	,	PUNCT
stem-5537	93	64	the	the	DET
stem-5537	93	65	cosine	cosine	NOUN
stem-5537	93	66	in	in	ADP
stem-5537	93	67	a	a	DET
stem-5537	93	68	gorizantal	gorizantal	ADJ
stem-5537	93	69	column	column	NOUN
stem-5537	93	70	.	.	PUNCT
stem-5537	94	1	the	the	DET
stem-5537	94	2	use	use	NOUN
stem-5537	94	3	of	of	ADP
stem-5537	94	4	such	such	ADJ
stem-5537	94	5	illustrative	illustrative	ADJ
stem-5537	94	6	mnemonic	mnemonic	ADJ
stem-5537	94	7	techniques	technique	NOUN
stem-5537	94	8	in	in	ADP
stem-5537	94	9	the	the	DET
stem-5537	94	10	course	course	NOUN
stem-5537	94	11	of	of	ADP
stem-5537	94	12	the	the	DET
stem-5537	94	13	lesson	lesson	NOUN
stem-5537	94	14	gives	give	VERB
stem-5537	94	15	good	good	ADJ
stem-5537	94	16	results	result	NOUN
stem-5537	94	17	for	for	ADP
stem-5537	94	18	students	student	NOUN
stem-5537	94	19	.	.	PUNCT
stem-5537	95	1	memorization	memorization	NOUN
stem-5537	95	2	of	of	ADP
stem-5537	95	3	values	value	NOUN
stem-5537	95	4	of	of	ADP
stem-5537	95	5	trigonometric	trigonometric	ADJ
stem-5537	95	6	functions	function	NOUN
stem-5537	95	7	in	in	ADP
stem-5537	95	8	particular	particular	ADJ
stem-5537	95	9	allows	allow	VERB
stem-5537	95	10	students	student	NOUN
stem-5537	95	11	to	to	PART
stem-5537	95	12	achieve	achieve	VERB
stem-5537	95	13	high	high	ADJ
stem-5537	95	14	activity	activity	NOUN
stem-5537	95	15	in	in	ADP
stem-5537	95	16	the	the	DET
stem-5537	95	17	classroom	classroom	NOUN
stem-5537	95	18	,	,	PUNCT
stem-5537	95	19	their	their	PRON
stem-5537	95	20	interest	interest	NOUN
stem-5537	95	21	in	in	ADP
stem-5537	95	22	trigonometry	trigonometry	NOUN
stem-5537	95	23	and	and	CCONJ
stem-5537	95	24	mathematics	mathematic	NOUN
stem-5537	95	25	in	in	ADP
stem-5537	95	26	general	general	ADJ
stem-5537	95	27	,	,	PUNCT
stem-5537	95	28	and	and	CCONJ
stem-5537	95	29	a	a	DET
stem-5537	95	30	significant	significant	ADJ
stem-5537	95	31	increase	increase	NOUN
stem-5537	95	32	in	in	ADP
stem-5537	95	33	knowledge	knowledge	NOUN
stem-5537	95	34	,	,	PUNCT
stem-5537	95	35	skills	skill	NOUN
stem-5537	95	36	and	and	CCONJ
stem-5537	95	37	competence	competence	NOUN
stem-5537	95	38	[	[	X
stem-5537	95	39	3	3	NUM
stem-5537	95	40	]	]	PUNCT
stem-5537	95	41	.	.	PUNCT
stem-5537	96	1	conclusion	conclusion	NOUN
stem-5537	96	2	and	and	CCONJ
stem-5537	96	3	recommendations	recommendation	NOUN
stem-5537	96	4	:	:	PUNCT
stem-5537	96	5	in	in	ADP
stem-5537	96	6	conclusion	conclusion	NOUN
stem-5537	96	7	,	,	PUNCT
stem-5537	96	8	the	the	DET
stem-5537	96	9	use	use	NOUN
stem-5537	96	10	of	of	ADP
stem-5537	96	11	such	such	ADJ
stem-5537	96	12	illustrative	illustrative	ADJ
stem-5537	96	13	-	-	PUNCT
stem-5537	96	14	cognitive	cognitive	ADJ
stem-5537	96	15	methods	method	NOUN
stem-5537	96	16	in	in	ADP
stem-5537	96	17	memorizing	memorize	VERB
stem-5537	96	18	the	the	DET
stem-5537	96	19	values	value	NOUN
stem-5537	96	20	of	of	ADP
stem-5537	96	21	trigonometric	trigonometric	ADJ
stem-5537	96	22	functions	function	NOUN
stem-5537	96	23	expresses	express	VERB
stem-5537	96	24	the	the	DET
stem-5537	96	25	coherence	coherence	NOUN
stem-5537	96	26	of	of	ADP
stem-5537	96	27	the	the	DET
stem-5537	96	28	purpose	purpose	NOUN
stem-5537	96	29	,	,	PUNCT
stem-5537	96	30	content	content	NOUN
stem-5537	96	31	,	,	PUNCT
stem-5537	96	32	organizational	organizational	ADJ
stem-5537	96	33	forms	form	NOUN
stem-5537	96	34	,	,	PUNCT
stem-5537	96	35	methods	method	NOUN
stem-5537	96	36	and	and	CCONJ
stem-5537	96	37	laws	law	NOUN
stem-5537	96	38	of	of	ADP
stem-5537	96	39	the	the	DET
stem-5537	96	40	didactic	didactic	ADJ
stem-5537	96	41	process	process	NOUN
stem-5537	96	42	.	.	PUNCT
stem-5537	97	1	to	to	PART
stem-5537	97	2	strengthen	strengthen	VERB
stem-5537	97	3	,	,	PUNCT
stem-5537	97	4	the	the	DET
stem-5537	97	5	following	follow	VERB
stem-5537	97	6	tasks	task	NOUN
stem-5537	97	7	are	be	AUX
stem-5537	97	8	recommended	recommend	VERB
stem-5537	97	9	:	:	PUNCT
stem-5537	97	10	1	1	X
stem-5537	97	11	)	)	PUNCT
stem-5537	97	12	find	find	VERB
stem-5537	97	13	the	the	DET
stem-5537	97	14	value	value	NOUN
stem-5537	97	15	of	of	ADP
stem-5537	97	16	the	the	DET
stem-5537	97	17	expression	expression	NOUN
stem-5537	97	18	:	:	PUNCT
stem-5537	97	19	1	1	NUM
stem-5537	97	20	)	)	PUNCT
stem-5537	97	21	0	0	NUM
stem-5537	97	22	0	0	NUM
stem-5537	98	1	02sin45	02sin45	NUM
stem-5537	98	2	3	3	NUM
stem-5537	98	3	30	30	NUM
stem-5537	98	4	cos60tg	cos60tg	X
stem-5537	98	5			ADJ
stem-5537	98	6	2	2	NUM
stem-5537	98	7	)	)	PUNCT
stem-5537	98	8	count	count	NOUN
stem-5537	98	9	:	:	PUNCT
stem-5537	98	10			NOUN
stem-5537	98	11			PROPN
stem-5537	98	12	2	2	NUM
stem-5537	98	13	0	0	NUM
stem-5537	98	14	0	0	NUM
stem-5537	98	15	0	0	NUM
stem-5537	98	16	0	0	NUM
stem-5537	98	17	0	0	NUM
stem-5537	98	18	0	0	NUM
stem-5537	98	19	0	0	NUM
stem-5537	98	20	02sin	02sin	NOUN
stem-5537	98	21	45	45	NUM
stem-5537	98	22	3	3	NUM
stem-5537	98	23	3cos45	3cos45	NUM
stem-5537	98	24	sin90	sin90	NOUN
stem-5537	99	1	60	60	NUM
stem-5537	99	2	sin180	sin180	PROPN
stem-5537	99	3	sin270	sin270	PROPN
stem-5537	99	4	30	30	NUM
stem-5537	99	5	60tg	60tg	NOUN
stem-5537	99	6	tg	tg	PROPN
stem-5537	99	7	ctg	ctg	PROPN
stem-5537	99	8			ADV
stem-5537	99	9			PROPN
stem-5537	99	10			PUNCT
stem-5537	99	11			CCONJ
stem-5537	99	12			PROPN
stem-5537	99	13			ADV
stem-5537	99	14			PUNCT
stem-5537	99	15	3	3	NUM
stem-5537	99	16	)	)	PUNCT
stem-5537	99	17	check	check	VERB
stem-5537	99	18	the	the	DET
stem-5537	99	19	correctness	correctness	NOUN
stem-5537	99	20	:	:	PUNCT
stem-5537	99	21	0	0	NUM
stem-5537	99	22	0sin45	0sin45	X
stem-5537	99	23	cos30	cos30	PROPN
stem-5537	100	1	1	1	NUM
stem-5537	100	2			INTJ
stem-5537	100	3	.	.	PUNCT
stem-5537	101	1	used	use	VERB
stem-5537	101	2	literature	literature	NOUN
stem-5537	101	3	:	:	PUNCT
stem-5537	101	4	1	1	X
stem-5537	101	5	.	.	X
stem-5537	101	6	khankulov	khankulov	PROPN
stem-5537	101	7	u.kh	u.kh	PROPN
stem-5537	101	8	.	.	PUNCT
stem-5537	102	1	about	about	ADP
stem-5537	102	2	the	the	DET
stem-5537	102	3	principles	principle	NOUN
stem-5537	102	4	of	of	ADP
stem-5537	102	5	selection	selection	NOUN
stem-5537	102	6	of	of	ADP
stem-5537	102	7	teaching	teaching	NOUN
stem-5537	102	8	content	content	NOUN
stem-5537	102	9	of	of	ADP
stem-5537	102	10	stochastic	stochastic	ADJ
stem-5537	102	11	elements	element	NOUN
stem-5537	102	12	of	of	ADP
stem-5537	102	13	mathematics	mathematic	NOUN
stem-5537	102	14	.	.	PUNCT
stem-5537	103	1	science	science	NOUN
stem-5537	103	2	and	and	CCONJ
stem-5537	103	3	world	world	NOUN
stem-5537	103	4	.	.	PUNCT
stem-5537	104	1	–	–	PUNCT
stem-5537	104	2	volgograd	volgograd	PROPN
stem-5537	104	3	,	,	PUNCT
stem-5537	104	4	russia	russia	NOUN
stem-5537	104	5	,	,	PUNCT
stem-5537	104	6	2018	2018	NUM
stem-5537	104	7	.	.	PUNCT
stem-5537	105	1	№	№	ADV
stem-5537	105	2	.	.	PUNCT
stem-5537	106	1	–	–	PUNCT
stem-5537	106	2	p.	p.	NOUN
stem-5537	106	3	56	56	NUM
stem-5537	106	4	-	-	SYM
stem-5537	106	5	57	57	NUM
stem-5537	106	6	.	.	PUNCT
stem-5537	107	1	(	(	PUNCT
stem-5537	107	2	impact	impact	NOUN
stem-5537	107	3	factor	factor	NOUN
stem-5537	107	4	0,325	0,325	NUM
stem-5537	107	5	)	)	PUNCT
stem-5537	107	6	.	.	PUNCT
stem-5537	108	1	2	2	X
stem-5537	108	2	.	.	X
stem-5537	108	3	kevin	kevin	PROPN
stem-5537	108	4	c.	c.	PROPN
stem-5537	108	5	moore	moore	PROPN
stem-5537	108	6	(	(	PUNCT
stem-5537	108	7	2010	2010	NUM
stem-5537	108	8	)	)	PUNCT
stem-5537	108	9	.	.	PUNCT
stem-5537	109	1	the	the	DET
stem-5537	109	2	role	role	NOUN
stem-5537	109	3	of	of	ADP
stem-5537	109	4	quantitative	quantitative	ADJ
stem-5537	109	5	reasoning	reasoning	NOUN
stem-5537	109	6	in	in	ADP
stem-5537	109	7	precalculus	precalculus	ADJ
stem-5537	109	8	students	student	NOUN
stem-5537	109	9	learning	learn	VERB
stem-5537	109	10	central	central	ADJ
stem-5537	109	11	concepts	concept	NOUN
stem-5537	109	12	of	of	ADP
stem-5537	109	13	trigonometry	trigonometry	NOUN
stem-5537	109	14	.	.	PUNCT
stem-5537	110	1	unpublished	unpublished	ADJ
stem-5537	110	2	ph.d	ph.d	PROPN
stem-5537	110	3	.	.	PUNCT
stem-5537	110	4	dissertation	dissertation	NOUN
stem-5537	110	5	.	.	PUNCT
stem-5537	111	1	arizona	arizona	PROPN
stem-5537	111	2	state	state	PROPN
stem-5537	111	3	university	university	PROPN
stem-5537	111	4	:	:	PUNCT
stem-5537	111	5	usa	usa	PROPN
stem-5537	111	6	.	.	PROPN
stem-5537	112	1	3	3	NUM
stem-5537	112	2	.	.	X
stem-5537	112	3	thompson	thompson	PROPN
stem-5537	112	4	,	,	PUNCT
stem-5537	112	5	p.	p.	NOUN
stem-5537	112	6	w.	w.	PROPN
stem-5537	112	7	(	(	PUNCT
stem-5537	112	8	2018	2018	NUM
stem-5537	112	9	)	)	PUNCT
stem-5537	112	10	.	.	PUNCT
stem-5537	113	1	images	image	NOUN
stem-5537	113	2	of	of	ADP
stem-5537	113	3	rate	rate	NOUN
stem-5537	113	4	and	and	CCONJ
stem-5537	113	5	operational	operational	ADJ
stem-5537	113	6	understanding	understanding	NOUN
stem-5537	113	7	of	of	ADP
stem-5537	113	8	the	the	DET
stem-5537	113	9	fundamental	fundamental	ADJ
stem-5537	113	10	theorem	theorem	NOUN
stem-5537	113	11	of	of	ADP
stem-5537	113	12	calculus	calculus	NOUN
stem-5537	113	13	.	.	PUNCT
stem-5537	114	1	educational	educational	ADJ
stem-5537	114	2	studies	study	NOUN
stem-5537	114	3	in	in	ADP
stem-5537	114	4	mathematics	mathematic	NOUN
stem-5537	114	5	,	,	PUNCT
stem-5537	114	6	26(2	26(2	NUM
stem-5537	114	7	-	-	SYM
stem-5537	114	8	3	3	NUM
stem-5537	114	9	)	)	PUNCT
stem-5537	114	10	,	,	PUNCT
stem-5537	114	11	229	229	NUM
stem-5537	114	12	-	-	SYM
stem-5537	114	13	274	274	NUM
stem-5537	114	14	.	.	PUNCT
stem-5537	115	1	4	4	NUM
stem-5537	115	2	.	.	X
stem-5537	115	3	муравин	муравин	PROPN
stem-5537	115	4	г.к	г.к	PROPN
stem-5537	115	5	.	.	PROPN
stem-5537	115	6	;	;	PUNCT
stem-5537	116	1	тараканова	тараканова	NOUN
stem-5537	116	2	о.в	о.в	PROPN
stem-5537	116	3	.	.	PROPN
stem-5537	116	4	,	,	PUNCT
stem-5537	116	5	элементы	элементы	NOUN
stem-5537	116	6	тригонометрии	тригонометрии	NOUN
stem-5537	116	7	:	:	PUNCT
stem-5537	116	8	10	10	NUM
stem-5537	116	9	кл	кл	NOUN
stem-5537	116	10	:	:	PUNCT
stem-5537	116	11	пособие	пособие	PROPN
stem-5537	116	12	для	для	PROPN
stem-5537	116	13	общеобразовательных	общеобразовательных	PROPN
stem-5537	116	14	учебных	учебных	PROPN
stem-5537	116	15	заведений	заведений	PROPN
stem-5537	116	16	.	.	PUNCT
stem-5537	116	17	–	–	PUNCT
stem-5537	116	18	м	м	X
stem-5537	116	19	.	.	PUNCT
stem-5537	116	20	:	:	PUNCT
stem-5537	117	1	дрофа	дрофа	NOUN
stem-5537	117	2	,	,	PUNCT
stem-5537	117	3	2008	2008	NUM
stem-5537	117	4	.	.	PUNCT
stem-5537	118	1	–	–	PUNCT
stem-5537	118	2	128	128	NUM
stem-5537	118	3	с	с	NOUN
stem-5537	118	4	.	.	PUNCT
stem-5537	118	5	:	:	PUNCT
stem-5537	119	1	ил	ил	X
stem-5537	119	2	.	.	PUNCT
stem-5537	119	3	–	–	PUNCT
stem-5537	119	4	(	(	PUNCT
stem-5537	119	5	темы	темы	NOUN
stem-5537	119	6	школьного	школьного	VERB
stem-5537	119	7	курса	курса	NOUN
stem-5537	119	8	)	)	PUNCT
stem-5537	119	9	.	.	PUNCT
stem-5537	120	1	5	5	X
stem-5537	120	2	.	.	X
stem-5537	120	3	мордкович	мордкович	NOUN
stem-5537	120	4	а.г	а.г	PROPN
stem-5537	120	5	.	.	PUNCT
stem-5537	120	6	;	;	PUNCT
stem-5537	121	1	тульчинская	тульчинская	PROPN
stem-5537	121	2	е.е	е.е	PROPN
stem-5537	121	3	.	.	PUNCT
stem-5537	121	4	тригонометрия	тригонометрия	NOUN
stem-5537	121	5	:	:	PUNCT
stem-5537	121	6	учебное	учебное	PROPN
stem-5537	121	7	пособие	пособие	PROPN
stem-5537	121	8	для	для	PROPN
stem-5537	121	9	учащихся	учащихся	PROPN
stem-5537	121	10	старших	старших	PROPN
stem-5537	121	11	классов	классов	PROPN
stem-5537	121	12	общеобразовательных	общеобразовательных	PROPN
stem-5537	121	13	школ	школ	NOUN
stem-5537	121	14	.	.	PUNCT
stem-5537	122	1	–	–	PUNCT
stem-5537	122	2	м	м	X
stem-5537	122	3	.	.	PUNCT
stem-5537	122	4	:	:	PUNCT
stem-5537	123	1	издательский	издательский	PROPN
stem-5537	123	2	дом	дом	PROPN
stem-5537	123	3	"	"	PUNCT
stem-5537	123	4	новый	новый	NOUN
stem-5537	123	5	учебник	учебник	NOUN
stem-5537	123	6	"	"	PUNCT
stem-5537	123	7	,	,	PUNCT
stem-5537	123	8	2009	2009	NUM
stem-5537	123	9	.	.	PUNCT
stem-5537	123	10	–	–	PUNCT
stem-5537	123	11	224	224	NUM
stem-5537	123	12	с	с	NOUN
stem-5537	123	13	.	.	PUNCT
stem-5537	123	14	:	:	PUNCT
stem-5537	124	1	ил	ил	X
stem-5537	124	2	.	.	PUNCT