id	sid	tid	token	lemma	pos
ajird-292	1	1	american	american	PROPN
ajird-292	1	2	journal	journal	PROPN
ajird-292	1	3	of	of	ADP
ajird-292	1	4	interdisciplinary	interdisciplinary	ADJ
ajird-292	1	5	research	research	NOUN
ajird-292	1	6	and	and	CCONJ
ajird-292	1	7	development	development	NOUN
ajird-292	1	8	issn	issn	PROPN
ajird-292	1	9	online	online	NOUN
ajird-292	1	10	:	:	PUNCT
ajird-292	1	11	2771	2771	NUM
ajird-292	1	12	-	-	SYM
ajird-292	1	13	8948	8948	NUM
ajird-292	1	14	website	website	NOUN
ajird-292	1	15	:	:	PUNCT
ajird-292	1	16	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-292	1	17	volume	volume	NOUN
ajird-292	1	18	09	09	NUM
ajird-292	1	19	,	,	PUNCT
ajird-292	1	20	oct	oct	PROPN
ajird-292	1	21	.	.	PROPN
ajird-292	1	22	,	,	PUNCT
ajird-292	1	23	2022	2022	NUM
ajird-292	1	24	206	206	NUM
ajird-292	2	1	|	|	ADV
ajird-292	2	2	p	p	ADP
ajird-292	2	3	a	a	DET
ajird-292	2	4	g	g	NOUN
ajird-292	2	5	e	e	NOUN
ajird-292	2	6	theory	theory	NOUN
ajird-292	2	7	of	of	ADP
ajird-292	2	8	didactic	didactic	ADJ
ajird-292	2	9	principles	principle	NOUN
ajird-292	2	10	in	in	ADP
ajird-292	2	11	mathematics	mathematics	NOUN
ajird-292	2	12	lessons	lesson	NOUN
ajird-292	2	13	sunnatulla	sunnatulla	PROPN
ajird-292	2	14	dostov	dostov	ADJ
ajird-292	2	15	teacher	teacher	NOUN
ajird-292	2	16	of	of	ADP
ajird-292	2	17	the	the	DET
ajird-292	2	18	department	department	NOUN
ajird-292	2	19	of	of	ADP
ajird-292	2	20	primary	primary	ADJ
ajird-292	2	21	education	education	NOUN
ajird-292	2	22	methodology	methodology	NOUN
ajird-292	2	23	at	at	ADP
ajird-292	2	24	the	the	DET
ajird-292	2	25	denov	denov	NOUN
ajird-292	2	26	entrepreneurship	entrepreneurship	NOUN
ajird-292	2	27	and	and	CCONJ
ajird-292	2	28	pedagogical	pedagogical	ADJ
ajird-292	2	29	institute	institute	NOUN
ajird-292	2	30	of	of	ADP
ajird-292	2	31	the	the	DET
ajird-292	2	32	republic	republic	NOUN
ajird-292	2	33	of	of	ADP
ajird-292	2	34	uzbekistan	uzbekistan	PROPN
ajird-292	2	35	,	,	PUNCT
ajird-292	2	36	khushbakova	khushbakova	X
ajird-292	2	37	saodat	saodat	PROPN
ajird-292	2	38	kochkor	kochkor	PROPN
ajird-292	2	39	's	's	PART
ajird-292	2	40	daughter	daughter	NOUN
ajird-292	2	41	student	student	NOUN
ajird-292	2	42	of	of	ADP
ajird-292	2	43	the	the	DET
ajird-292	2	44	3rd	3rd	ADJ
ajird-292	2	45	level	level	NOUN
ajird-292	2	46	of	of	ADP
ajird-292	2	47	mathematics	mathematic	NOUN
ajird-292	2	48	and	and	CCONJ
ajird-292	2	49	informatics	informatic	NOUN
ajird-292	2	50	at	at	ADP
ajird-292	2	51	the	the	DET
ajird-292	2	52	denov	denov	NOUN
ajird-292	2	53	entrepreneurship	entrepreneurship	NOUN
ajird-292	2	54	and	and	CCONJ
ajird-292	2	55	pedagogical	pedagogical	ADJ
ajird-292	2	56	institute	institute	NOUN
ajird-292	2	57	of	of	ADP
ajird-292	2	58	the	the	DET
ajird-292	2	59	republic	republic	NOUN
ajird-292	2	60	of	of	ADP
ajird-292	2	61	uzbekistan	uzbekistan	PROPN
ajird-292	2	62	,	,	PUNCT
ajird-292	2	63	boymatov	boymatov	PROPN
ajird-292	2	64	is	be	AUX
ajird-292	2	65	the	the	DET
ajird-292	2	66	son	son	NOUN
ajird-292	2	67	of	of	ADP
ajird-292	2	68	islam	islam	PROPN
ajird-292	2	69	kholmakhmat	kholmakhmat	PROPN
ajird-292	2	70	3rd	3rd	ADJ
ajird-292	2	71	level	level	NOUN
ajird-292	2	72	student	student	NOUN
ajird-292	2	73	of	of	ADP
ajird-292	2	74	the	the	DET
ajird-292	2	75	denov	denov	PROPN
ajird-292	2	76	institute	institute	PROPN
ajird-292	2	77	of	of	ADP
ajird-292	2	78	entrepreneurship	entrepreneurship	NOUN
ajird-292	2	79	and	and	CCONJ
ajird-292	2	80	pedagogy	pedagogy	NOUN
ajird-292	2	81	of	of	ADP
ajird-292	2	82	the	the	DET
ajird-292	2	83	republic	republic	NOUN
ajird-292	2	84	of	of	ADP
ajird-292	2	85	uzbekistan	uzbekistan	PROPN
ajird-292	2	86	,	,	PUNCT
ajird-292	2	87	mathematics	mathematics	PROPN
ajird-292	2	88	and	and	CCONJ
ajird-292	2	89	informatics	informatic	NOUN
ajird-292	2	90	annotation	annotation	NOUN
ajird-292	2	91	in	in	ADP
ajird-292	2	92	this	this	DET
ajird-292	2	93	article	article	NOUN
ajird-292	2	94	,	,	PUNCT
ajird-292	2	95	the	the	DET
ajird-292	2	96	theory	theory	NOUN
ajird-292	2	97	of	of	ADP
ajird-292	2	98	didactic	didactic	ADJ
ajird-292	2	99	principles	principle	NOUN
ajird-292	2	100	in	in	ADP
ajird-292	2	101	mathematics	mathematic	NOUN
ajird-292	2	102	lessons	lesson	NOUN
ajird-292	2	103	,	,	PUNCT
ajird-292	2	104	the	the	DET
ajird-292	2	105	issue	issue	NOUN
ajird-292	2	106	of	of	ADP
ajird-292	2	107	using	use	VERB
ajird-292	2	108	other	other	ADJ
ajird-292	2	109	subjects	subject	NOUN
ajird-292	2	110	in	in	ADP
ajird-292	2	111	mathematics	mathematic	NOUN
ajird-292	2	112	lessons	lesson	NOUN
ajird-292	2	113	,	,	PUNCT
ajird-292	2	114	clearly	clearly	ADV
ajird-292	2	115	showing	show	VERB
ajird-292	2	116	in	in	ADP
ajird-292	2	117	the	the	DET
ajird-292	2	118	program	program	NOUN
ajird-292	2	119	,	,	PUNCT
ajird-292	2	120	some	some	DET
ajird-292	2	121	educational	educational	ADJ
ajird-292	2	122	situations	situation	NOUN
ajird-292	2	123	of	of	ADP
ajird-292	2	124	aspects	aspect	NOUN
ajird-292	2	125	of	of	ADP
ajird-292	2	126	computer	computer	NOUN
ajird-292	2	127	convenience	convenience	NOUN
ajird-292	2	128	in	in	ADP
ajird-292	2	129	teaching	teaching	NOUN
ajird-292	2	130	mathematics	mathematic	NOUN
ajird-292	2	131	,	,	PUNCT
ajird-292	2	132	the	the	DET
ajird-292	2	133	correct	correct	ADJ
ajird-292	2	134	choice	choice	NOUN
ajird-292	2	135	of	of	ADP
ajird-292	2	136	didactic	didactic	ADJ
ajird-292	2	137	games	game	NOUN
ajird-292	2	138	in	in	ADP
ajird-292	2	139	preparing	prepare	VERB
ajird-292	2	140	for	for	ADP
ajird-292	2	141	the	the	DET
ajird-292	2	142	lesson	lesson	NOUN
ajird-292	2	143	described	describe	VERB
ajird-292	2	144	in	in	ADP
ajird-292	2	145	detail	detail	NOUN
ajird-292	2	146	.	.	PUNCT
ajird-292	3	1	keywords	keyword	NOUN
ajird-292	3	2	:	:	PUNCT
ajird-292	3	3	didactic	didactic	ADJ
ajird-292	3	4	principles	principle	NOUN
ajird-292	3	5	,	,	PUNCT
ajird-292	3	6	didactic	didactic	ADJ
ajird-292	3	7	games	game	NOUN
ajird-292	3	8	,	,	PUNCT
ajird-292	3	9	computer	computer	NOUN
ajird-292	3	10	usability	usability	NOUN
ajird-292	3	11	,	,	PUNCT
ajird-292	3	12	theory	theory	NOUN
ajird-292	3	13	of	of	ADP
ajird-292	3	14	principles	principle	NOUN
ajird-292	3	15	,	,	PUNCT
ajird-292	3	16	active	active	ADJ
ajird-292	3	17	thinking	thinking	NOUN
ajird-292	3	18	.	.	PUNCT
ajird-292	4	1	introduction	introduction	NOUN
ajird-292	4	2	:	:	PUNCT
ajird-292	4	3	at	at	ADP
ajird-292	4	4	the	the	DET
ajird-292	4	5	current	current	ADJ
ajird-292	4	6	time	time	NOUN
ajird-292	4	7	,	,	PUNCT
ajird-292	4	8	when	when	SCONJ
ajird-292	4	9	new	new	ADJ
ajird-292	4	10	technical	technical	ADJ
ajird-292	4	11	means	mean	NOUN
ajird-292	4	12	of	of	ADP
ajird-292	4	13	teaching	teach	VERB
ajird-292	4	14	mathematics	mathematic	NOUN
ajird-292	4	15	,	,	PUNCT
ajird-292	4	16	including	include	VERB
ajird-292	4	17	computers	computer	NOUN
ajird-292	4	18	and	and	CCONJ
ajird-292	4	19	other	other	ADJ
ajird-292	4	20	information	information	NOUN
ajird-292	4	21	technologies	technology	NOUN
ajird-292	4	22	,	,	PUNCT
ajird-292	4	23	are	be	AUX
ajird-292	4	24	being	be	AUX
ajird-292	4	25	rapidly	rapidly	ADV
ajird-292	4	26	introduced	introduce	VERB
ajird-292	4	27	,	,	PUNCT
ajird-292	4	28	using	use	VERB
ajird-292	4	29	the	the	DET
ajird-292	4	30	achievements	achievement	NOUN
ajird-292	4	31	of	of	ADP
ajird-292	4	32	computer	computer	NOUN
ajird-292	4	33	science	science	NOUN
ajird-292	4	34	in	in	ADP
ajird-292	4	35	order	order	NOUN
ajird-292	4	36	to	to	PART
ajird-292	4	37	ensure	ensure	VERB
ajird-292	4	38	interdisciplinary	interdisciplinary	ADJ
ajird-292	4	39	integration	integration	NOUN
ajird-292	4	40	is	be	AUX
ajird-292	4	41	one	one	NUM
ajird-292	4	42	of	of	ADP
ajird-292	4	43	the	the	DET
ajird-292	4	44	urgent	urgent	ADJ
ajird-292	4	45	issues	issue	NOUN
ajird-292	4	46	.	.	PUNCT
ajird-292	5	1	the	the	DET
ajird-292	5	2	issue	issue	NOUN
ajird-292	5	3	of	of	ADP
ajird-292	5	4	using	use	VERB
ajird-292	5	5	other	other	ADJ
ajird-292	5	6	subjects	subject	NOUN
ajird-292	5	7	in	in	ADP
ajird-292	5	8	mathematics	mathematics	NOUN
ajird-292	5	9	lessons	lesson	NOUN
ajird-292	5	10	is	be	AUX
ajird-292	5	11	difficult	difficult	ADJ
ajird-292	5	12	to	to	PART
ajird-292	5	13	clearly	clearly	ADV
ajird-292	5	14	indicate	indicate	VERB
ajird-292	5	15	in	in	ADP
ajird-292	5	16	the	the	DET
ajird-292	5	17	program	program	NOUN
ajird-292	5	18	,	,	PUNCT
ajird-292	5	19	it	it	PRON
ajird-292	5	20	is	be	AUX
ajird-292	5	21	done	do	VERB
ajird-292	5	22	by	by	ADP
ajird-292	5	23	the	the	DET
ajird-292	5	24	teacher	teacher	NOUN
ajird-292	5	25	himself	himself	PRON
ajird-292	5	26	,	,	PUNCT
ajird-292	5	27	that	that	ADV
ajird-292	5	28	is	is	ADV
ajird-292	5	29	,	,	PUNCT
ajird-292	5	30	he	he	PRON
ajird-292	5	31	should	should	AUX
ajird-292	5	32	take	take	VERB
ajird-292	5	33	into	into	ADP
ajird-292	5	34	account	account	NOUN
ajird-292	5	35	when	when	SCONJ
ajird-292	5	36	planning	plan	VERB
ajird-292	5	37	the	the	DET
ajird-292	5	38	educational	educational	ADJ
ajird-292	5	39	material	material	NOUN
ajird-292	5	40	and	and	CCONJ
ajird-292	5	41	preparing	prepare	VERB
ajird-292	5	42	for	for	ADP
ajird-292	5	43	the	the	DET
ajird-292	5	44	lesson	lesson	NOUN
ajird-292	5	45	.	.	PUNCT
ajird-292	6	1	this	this	DET
ajird-292	6	2	article	article	NOUN
ajird-292	6	3	talks	talk	VERB
ajird-292	6	4	about	about	ADP
ajird-292	6	5	the	the	DET
ajird-292	6	6	theory	theory	NOUN
ajird-292	6	7	of	of	ADP
ajird-292	6	8	didactic	didactic	ADJ
ajird-292	6	9	principles	principle	NOUN
ajird-292	6	10	in	in	ADP
ajird-292	6	11	mathematics	mathematic	NOUN
ajird-292	6	12	lessons	lesson	NOUN
ajird-292	6	13	.	.	PUNCT
ajird-292	7	1	literature	literature	NOUN
ajird-292	7	2	analysis	analysis	NOUN
ajird-292	7	3	and	and	CCONJ
ajird-292	7	4	methodology	methodology	NOUN
ajird-292	7	5	:	:	PUNCT
ajird-292	7	6	we	we	PRON
ajird-292	7	7	know	know	VERB
ajird-292	7	8	that	that	SCONJ
ajird-292	7	9	didactic	didactic	ADJ
ajird-292	7	10	principles	principle	NOUN
ajird-292	7	11	form	form	VERB
ajird-292	7	12	the	the	DET
ajird-292	7	13	basis	basis	NOUN
ajird-292	7	14	of	of	ADP
ajird-292	7	15	educational	educational	ADJ
ajird-292	7	16	theory	theory	NOUN
ajird-292	7	17	.	.	PUNCT
ajird-292	8	1	therefore	therefore	ADV
ajird-292	8	2	,	,	PUNCT
ajird-292	8	3	the	the	DET
ajird-292	8	4	following	follow	VERB
ajird-292	8	5	didactic	didactic	ADJ
ajird-292	8	6	principles	principle	NOUN
ajird-292	8	7	developed	develop	VERB
ajird-292	8	8	by	by	ADP
ajird-292	8	9	the	the	DET
ajird-292	8	10	theory	theory	NOUN
ajird-292	8	11	of	of	ADP
ajird-292	8	12	education	education	NOUN
ajird-292	8	13	should	should	AUX
ajird-292	8	14	be	be	AUX
ajird-292	8	15	followed	follow	VERB
ajird-292	8	16	when	when	SCONJ
ajird-292	8	17	choosing	choose	VERB
ajird-292	8	18	the	the	DET
ajird-292	8	19	methods	method	NOUN
ajird-292	8	20	of	of	ADP
ajird-292	8	21	explaining	explain	VERB
ajird-292	8	22	the	the	DET
ajird-292	8	23	educational	educational	ADJ
ajird-292	8	24	material	material	NOUN
ajird-292	8	25	:	:	PUNCT
ajird-292	8	26	1	1	X
ajird-292	8	27	.	.	PUNCT
ajird-292	8	28	scientific	scientific	ADJ
ajird-292	8	29	principle	principle	NOUN
ajird-292	8	30	.	.	PUNCT
ajird-292	9	1	the	the	DET
ajird-292	9	2	essence	essence	NOUN
ajird-292	9	3	of	of	ADP
ajird-292	9	4	this	this	DET
ajird-292	9	5	principle	principle	NOUN
ajird-292	9	6	is	be	AUX
ajird-292	9	7	that	that	SCONJ
ajird-292	9	8	each	each	DET
ajird-292	9	9	subject	subject	ADJ
ajird-292	9	10	material	material	NOUN
ajird-292	9	11	taught	teach	VERB
ajird-292	9	12	in	in	ADP
ajird-292	9	13	the	the	DET
ajird-292	9	14	school	school	NOUN
ajird-292	9	15	mathematics	mathematic	NOUN
ajird-292	9	16	course	course	NOUN
ajird-292	9	17	should	should	AUX
ajird-292	9	18	be	be	AUX
ajird-292	9	19	theoretically	theoretically	ADV
ajird-292	9	20	proven	prove	VERB
ajird-292	9	21	,	,	PUNCT
ajird-292	9	22	that	that	ADV
ajird-292	9	23	is	is	ADV
ajird-292	9	24	,	,	PUNCT
ajird-292	9	25	it	it	PRON
ajird-292	9	26	should	should	AUX
ajird-292	9	27	be	be	AUX
ajird-292	9	28	american	american	ADJ
ajird-292	9	29	journal	journal	PROPN
ajird-292	9	30	of	of	ADP
ajird-292	9	31	interdisciplinary	interdisciplinary	ADJ
ajird-292	9	32	research	research	NOUN
ajird-292	9	33	and	and	CCONJ
ajird-292	9	34	development	development	NOUN
ajird-292	9	35	issn	issn	PROPN
ajird-292	9	36	online	online	NOUN
ajird-292	9	37	:	:	PUNCT
ajird-292	9	38	2771	2771	NUM
ajird-292	9	39	-	-	SYM
ajird-292	9	40	8948	8948	NUM
ajird-292	9	41	website	website	NOUN
ajird-292	9	42	:	:	PUNCT
ajird-292	9	43	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-292	9	44	volume	volume	NOUN
ajird-292	9	45	09	09	NUM
ajird-292	9	46	,	,	PUNCT
ajird-292	9	47	oct	oct	PROPN
ajird-292	9	48	.	.	PROPN
ajird-292	9	49	,	,	PUNCT
ajird-292	9	50	2022	2022	NUM
ajird-292	9	51	207	207	NUM
ajird-292	9	52	|	|	ADV
ajird-292	9	53	p	p	ADP
ajird-292	9	54	a	a	DET
ajird-292	9	55	g	g	NOUN
ajird-292	9	56	e	e	NOUN
ajird-292	9	57	explained	explain	VERB
ajird-292	9	58	on	on	ADP
ajird-292	9	59	the	the	DET
ajird-292	9	60	basis	basis	NOUN
ajird-292	9	61	of	of	ADP
ajird-292	9	62	previous	previous	ADJ
ajird-292	9	63	mathematical	mathematical	ADJ
ajird-292	9	64	concepts	concept	NOUN
ajird-292	9	65	,	,	PUNCT
ajird-292	9	66	axioms	axiom	NOUN
ajird-292	9	67	and	and	CCONJ
ajird-292	9	68	theorems	theorem	NOUN
ajird-292	9	69	.	.	PUNCT
ajird-292	10	1	the	the	DET
ajird-292	10	2	scientific	scientific	ADJ
ajird-292	10	3	principle	principle	NOUN
ajird-292	10	4	is	be	AUX
ajird-292	10	5	needed	need	VERB
ajird-292	10	6	at	at	ADP
ajird-292	10	7	every	every	DET
ajird-292	10	8	step	step	NOUN
ajird-292	10	9	of	of	ADP
ajird-292	10	10	the	the	DET
ajird-292	10	11	math	math	NOUN
ajird-292	10	12	lesson	lesson	NOUN
ajird-292	10	13	,	,	PUNCT
ajird-292	10	14	for	for	ADP
ajird-292	10	15	example	example	NOUN
ajird-292	10	16	,	,	PUNCT
ajird-292	10	17	if	if	SCONJ
ajird-292	10	18	the	the	DET
ajird-292	10	19	teacher	teacher	NOUN
ajird-292	10	20	asks	ask	VERB
ajird-292	10	21	the	the	DET
ajird-292	10	22	students	student	NOUN
ajird-292	10	23	to	to	PART
ajird-292	10	24	solve	solve	VERB
ajird-292	10	25	the	the	DET
ajird-292	10	26	equation	equation	NOUN
ajird-292	10	27	x²+	x²+	PUNCT
ajird-292	11	1	1	1	X
ajird-292	11	2	,	,	PUNCT
ajird-292	11	3	this	this	DET
ajird-292	11	4	question	question	NOUN
ajird-292	11	5	will	will	AUX
ajird-292	11	6	not	not	PART
ajird-292	11	7	have	have	VERB
ajird-292	11	8	a	a	DET
ajird-292	11	9	full	full	ADJ
ajird-292	11	10	scientific	scientific	ADJ
ajird-292	11	11	basis	basis	NOUN
ajird-292	11	12	,	,	PUNCT
ajird-292	11	13	because	because	SCONJ
ajird-292	11	14	the	the	DET
ajird-292	11	15	students	student	NOUN
ajird-292	11	16	will	will	AUX
ajird-292	11	17	solve	solve	VERB
ajird-292	11	18	this	this	DET
ajird-292	11	19	equation	equation	NOUN
ajird-292	11	20	with	with	ADP
ajird-292	11	21	real	real	ADJ
ajird-292	11	22	numbers	number	NOUN
ajird-292	11	23	.	.	PUNCT
ajird-292	12	1	if	if	SCONJ
ajird-292	12	2	they	they	PRON
ajird-292	12	3	solve	solve	VERB
ajird-292	12	4	it	it	PRON
ajird-292	12	5	with	with	ADP
ajird-292	12	6	respect	respect	NOUN
ajird-292	12	7	to	to	ADP
ajird-292	12	8	the	the	DET
ajird-292	12	9	set	set	NOUN
ajird-292	12	10	of	of	ADP
ajird-292	12	11	complex	complex	ADJ
ajird-292	12	12	numbers	number	NOUN
ajird-292	12	13	,	,	PUNCT
ajird-292	12	14	it	it	PRON
ajird-292	12	15	has	have	VERB
ajird-292	12	16	no	no	DET
ajird-292	12	17	solution	solution	NOUN
ajird-292	12	18	,	,	PUNCT
ajird-292	12	19	if	if	SCONJ
ajird-292	12	20	they	they	PRON
ajird-292	12	21	solve	solve	VERB
ajird-292	12	22	this	this	DET
ajird-292	12	23	equation	equation	NOUN
ajird-292	12	24	with	with	ADP
ajird-292	12	25	respect	respect	NOUN
ajird-292	12	26	to	to	ADP
ajird-292	12	27	the	the	DET
ajird-292	12	28	set	set	NOUN
ajird-292	12	29	of	of	ADP
ajird-292	12	30	complex	complex	ADJ
ajird-292	12	31	numbers	number	NOUN
ajird-292	12	32	,	,	PUNCT
ajird-292	12	33	it	it	PRON
ajird-292	12	34	will	will	AUX
ajird-292	12	35	have	have	VERB
ajird-292	12	36	two	two	NUM
ajird-292	12	37	different	different	ADJ
ajird-292	12	38	solutions	solution	NOUN
ajird-292	12	39	.	.	PUNCT
ajird-292	13	1	therefore	therefore	ADV
ajird-292	13	2	,	,	PUNCT
ajird-292	13	3	the	the	DET
ajird-292	13	4	principle	principle	NOUN
ajird-292	13	5	of	of	ADP
ajird-292	13	6	scientificity	scientificity	NOUN
ajird-292	13	7	in	in	ADP
ajird-292	13	8	mathematics	mathematic	NOUN
ajird-292	13	9	lessons	lesson	NOUN
ajird-292	13	10	should	should	AUX
ajird-292	13	11	meet	meet	VERB
ajird-292	13	12	the	the	DET
ajird-292	13	13	following	follow	VERB
ajird-292	13	14	requirements	requirement	NOUN
ajird-292	13	15	:	:	PUNCT
ajird-292	13	16	1	1	X
ajird-292	13	17	)	)	PUNCT
ajird-292	13	18	every	every	DET
ajird-292	13	19	mathematical	mathematical	ADJ
ajird-292	13	20	concept	concept	NOUN
ajird-292	13	21	,	,	PUNCT
ajird-292	13	22	definition	definition	NOUN
ajird-292	13	23	,	,	PUNCT
ajird-292	13	24	axioms	axiom	NOUN
ajird-292	13	25	and	and	CCONJ
ajird-292	13	26	theorems	theorem	NOUN
ajird-292	13	27	being	be	AUX
ajird-292	13	28	studied	study	VERB
ajird-292	13	29	should	should	AUX
ajird-292	13	30	be	be	AUX
ajird-292	13	31	clearly	clearly	ADV
ajird-292	13	32	and	and	CCONJ
ajird-292	13	33	simply	simply	ADV
ajird-292	13	34	stated	state	VERB
ajird-292	13	35	;	;	PUNCT
ajird-292	13	36	2	2	X
ajird-292	13	37	)	)	PUNCT
ajird-292	13	38	to	to	PART
ajird-292	13	39	teach	teach	VERB
ajird-292	13	40	students	student	NOUN
ajird-292	13	41	to	to	PART
ajird-292	13	42	think	think	VERB
ajird-292	13	43	critically	critically	ADV
ajird-292	13	44	about	about	ADP
ajird-292	13	45	the	the	DET
ajird-292	13	46	material	material	NOUN
ajird-292	13	47	of	of	ADP
ajird-292	13	48	each	each	DET
ajird-292	13	49	subject	subject	NOUN
ajird-292	13	50	studied	study	VERB
ajird-292	13	51	in	in	ADP
ajird-292	13	52	mathematics	mathematic	NOUN
ajird-292	13	53	classes	class	NOUN
ajird-292	13	54	and	and	CCONJ
ajird-292	13	55	to	to	PART
ajird-292	13	56	form	form	VERB
ajird-292	13	57	their	their	PRON
ajird-292	13	58	scientific	scientific	ADJ
ajird-292	13	59	thinking	thinking	NOUN
ajird-292	13	60	skills	skill	NOUN
ajird-292	13	61	from	from	ADP
ajird-292	13	62	this	this	DET
ajird-292	13	63	point	point	NOUN
ajird-292	13	64	of	of	ADP
ajird-292	13	65	view	view	NOUN
ajird-292	13	66	.	.	PUNCT
ajird-292	14	1	from	from	ADP
ajird-292	14	2	this	this	DET
ajird-292	14	3	point	point	NOUN
ajird-292	14	4	of	of	ADP
ajird-292	14	5	view	view	NOUN
ajird-292	14	6	,	,	PUNCT
ajird-292	14	7	the	the	DET
ajird-292	14	8	principle	principle	NOUN
ajird-292	14	9	of	of	ADP
ajird-292	14	10	scientificity	scientificity	NOUN
ajird-292	14	11	requires	require	VERB
ajird-292	14	12	that	that	SCONJ
ajird-292	14	13	the	the	DET
ajird-292	14	14	facts	fact	NOUN
ajird-292	14	15	learned	learn	VERB
ajird-292	14	16	in	in	ADP
ajird-292	14	17	the	the	DET
ajird-292	14	18	school	school	NOUN
ajird-292	14	19	mathematics	mathematic	NOUN
ajird-292	14	20	course	course	NOUN
ajird-292	14	21	should	should	AUX
ajird-292	14	22	be	be	AUX
ajird-292	14	23	covered	cover	VERB
ajird-292	14	24	in	in	ADP
ajird-292	14	25	the	the	DET
ajird-292	14	26	same	same	ADJ
ajird-292	14	27	way	way	NOUN
ajird-292	14	28	as	as	SCONJ
ajird-292	14	29	they	they	PRON
ajird-292	14	30	are	be	AUX
ajird-292	14	31	covered	cover	VERB
ajird-292	14	32	in	in	ADP
ajird-292	14	33	science	science	NOUN
ajird-292	14	34	.	.	PUNCT
ajird-292	15	1	2	2	X
ajird-292	15	2	.	.	X
ajird-292	15	3	the	the	DET
ajird-292	15	4	principle	principle	NOUN
ajird-292	15	5	of	of	ADP
ajird-292	15	6	directiveness	directiveness	PROPN
ajird-292	15	7	.	.	PUNCT
ajird-292	16	1	the	the	DET
ajird-292	16	2	principle	principle	NOUN
ajird-292	16	3	of	of	ADP
ajird-292	16	4	instructiveness	instructiveness	NOUN
ajird-292	16	5	depends	depend	VERB
ajird-292	16	6	on	on	ADP
ajird-292	16	7	the	the	DET
ajird-292	16	8	characteristics	characteristic	NOUN
ajird-292	16	9	of	of	ADP
ajird-292	16	10	development	development	NOUN
ajird-292	16	11	of	of	ADP
ajird-292	16	12	students	student	NOUN
ajird-292	16	13	'	'	PART
ajird-292	16	14	thinking	thinking	NOUN
ajird-292	16	15	from	from	ADP
ajird-292	16	16	concrete	concrete	NOUN
ajird-292	16	17	to	to	ADP
ajird-292	16	18	abstract	abstract	ADJ
ajird-292	16	19	.	.	PUNCT
ajird-292	17	1	the	the	DET
ajird-292	17	2	main	main	ADJ
ajird-292	17	3	goal	goal	NOUN
ajird-292	17	4	of	of	ADP
ajird-292	17	5	teaching	teach	VERB
ajird-292	17	6	mathematics	mathematic	NOUN
ajird-292	17	7	is	be	AUX
ajird-292	17	8	to	to	PART
ajird-292	17	9	develop	develop	VERB
ajird-292	17	10	logical	logical	ADJ
ajird-292	17	11	thinking	thinking	NOUN
ajird-292	17	12	,	,	PUNCT
ajird-292	17	13	but	but	CCONJ
ajird-292	17	14	teaching	teach	VERB
ajird-292	17	15	mathematics	mathematic	NOUN
ajird-292	17	16	is	be	AUX
ajird-292	17	17	inseparable	inseparable	ADJ
ajird-292	17	18	from	from	ADP
ajird-292	17	19	concrete	concrete	ADJ
ajird-292	17	20	facts	fact	NOUN
ajird-292	17	21	and	and	CCONJ
ajird-292	17	22	images	image	NOUN
ajird-292	17	23	,	,	PUNCT
ajird-292	17	24	on	on	ADP
ajird-292	17	25	the	the	DET
ajird-292	17	26	contrary	contrary	NOUN
ajird-292	17	27	,	,	PUNCT
ajird-292	17	28	the	the	DET
ajird-292	17	29	study	study	NOUN
ajird-292	17	30	of	of	ADP
ajird-292	17	31	any	any	DET
ajird-292	17	32	problem	problem	NOUN
ajird-292	17	33	should	should	AUX
ajird-292	17	34	begin	begin	VERB
ajird-292	17	35	with	with	ADP
ajird-292	17	36	the	the	DET
ajird-292	17	37	examination	examination	NOUN
ajird-292	17	38	of	of	ADP
ajird-292	17	39	these	these	DET
ajird-292	17	40	concrete	concrete	ADJ
ajird-292	17	41	facts	fact	NOUN
ajird-292	17	42	and	and	CCONJ
ajird-292	17	43	images	image	NOUN
ajird-292	17	44	.	.	PUNCT
ajird-292	18	1	3	3	X
ajird-292	18	2	.	.	X
ajird-292	18	3	the	the	DET
ajird-292	18	4	principle	principle	NOUN
ajird-292	18	5	of	of	ADP
ajird-292	18	6	consciousness	consciousness	NOUN
ajird-292	18	7	.	.	PUNCT
ajird-292	19	1	the	the	DET
ajird-292	19	2	principle	principle	NOUN
ajird-292	19	3	of	of	ADP
ajird-292	19	4	consciousness	consciousness	NOUN
ajird-292	19	5	is	be	AUX
ajird-292	19	6	to	to	PART
ajird-292	19	7	teach	teach	VERB
ajird-292	19	8	students	student	NOUN
ajird-292	19	9	to	to	PART
ajird-292	19	10	consciously	consciously	ADV
ajird-292	19	11	master	master	VERB
ajird-292	19	12	the	the	DET
ajird-292	19	13	educational	educational	ADJ
ajird-292	19	14	material	material	NOUN
ajird-292	19	15	,	,	PUNCT
ajird-292	19	16	that	that	ADV
ajird-292	19	17	is	is	ADV
ajird-292	19	18	,	,	PUNCT
ajird-292	19	19	to	to	PART
ajird-292	19	20	be	be	AUX
ajird-292	19	21	able	able	ADJ
ajird-292	19	22	to	to	PART
ajird-292	19	23	understand	understand	VERB
ajird-292	19	24	various	various	ADJ
ajird-292	19	25	facts	fact	NOUN
ajird-292	19	26	and	and	CCONJ
ajird-292	19	27	to	to	PART
ajird-292	19	28	discover	discover	VERB
ajird-292	19	29	the	the	DET
ajird-292	19	30	connections	connection	NOUN
ajird-292	19	31	and	and	CCONJ
ajird-292	19	32	patterns	pattern	NOUN
ajird-292	19	33	between	between	ADP
ajird-292	19	34	these	these	DET
ajird-292	19	35	facts	fact	NOUN
ajird-292	19	36	.	.	PUNCT
ajird-292	20	1	the	the	DET
ajird-292	20	2	importance	importance	NOUN
ajird-292	20	3	of	of	ADP
ajird-292	20	4	this	this	DET
ajird-292	20	5	principle	principle	NOUN
ajird-292	20	6	in	in	ADP
ajird-292	20	7	the	the	DET
ajird-292	20	8	teaching	teaching	NOUN
ajird-292	20	9	of	of	ADP
ajird-292	20	10	mathematics	mathematics	NOUN
ajird-292	20	11	is	be	AUX
ajird-292	20	12	that	that	SCONJ
ajird-292	20	13	only	only	ADV
ajird-292	20	14	when	when	SCONJ
ajird-292	20	15	the	the	DET
ajird-292	20	16	knowledge	knowledge	NOUN
ajird-292	20	17	obtained	obtain	VERB
ajird-292	20	18	from	from	ADP
ajird-292	20	19	mathematics	mathematic	NOUN
ajird-292	20	20	is	be	AUX
ajird-292	20	21	consciously	consciously	ADV
ajird-292	20	22	mastered	master	VERB
ajird-292	20	23	,	,	PUNCT
ajird-292	20	24	students	student	NOUN
ajird-292	20	25	will	will	AUX
ajird-292	20	26	learn	learn	VERB
ajird-292	20	27	the	the	DET
ajird-292	20	28	nature	nature	NOUN
ajird-292	20	29	of	of	ADP
ajird-292	20	30	quantitative	quantitative	ADJ
ajird-292	20	31	relationships	relationship	NOUN
ajird-292	20	32	,	,	PUNCT
ajird-292	20	33	mathematical	mathematical	ADJ
ajird-292	20	34	figures	figure	NOUN
ajird-292	20	35	and	and	CCONJ
ajird-292	20	36	their	their	PRON
ajird-292	20	37	mutual	mutual	ADJ
ajird-292	20	38	arrangement	arrangement	NOUN
ajird-292	20	39	.	.	PUNCT
ajird-292	21	1	if	if	SCONJ
ajird-292	21	2	the	the	DET
ajird-292	21	3	principle	principle	NOUN
ajird-292	21	4	of	of	ADP
ajird-292	21	5	consciousness	consciousness	NOUN
ajird-292	21	6	is	be	AUX
ajird-292	21	7	violated	violate	VERB
ajird-292	21	8	in	in	ADP
ajird-292	21	9	the	the	DET
ajird-292	21	10	process	process	NOUN
ajird-292	21	11	of	of	ADP
ajird-292	21	12	mastering	master	VERB
ajird-292	21	13	the	the	DET
ajird-292	21	14	subject	subject	NOUN
ajird-292	21	15	material	material	NOUN
ajird-292	21	16	,	,	PUNCT
ajird-292	21	17	the	the	DET
ajird-292	21	18	knowledge	knowledge	NOUN
ajird-292	21	19	that	that	PRON
ajird-292	21	20	the	the	DET
ajird-292	21	21	students	student	NOUN
ajird-292	21	22	get	get	VERB
ajird-292	21	23	will	will	AUX
ajird-292	21	24	be	be	AUX
ajird-292	21	25	superficial	superficial	ADJ
ajird-292	21	26	knowledge	knowledge	NOUN
ajird-292	21	27	.	.	PUNCT
ajird-292	22	1	4	4	X
ajird-292	22	2	.	.	X
ajird-292	22	3	the	the	DET
ajird-292	22	4	principle	principle	NOUN
ajird-292	22	5	of	of	ADP
ajird-292	22	6	activity	activity	NOUN
ajird-292	22	7	.	.	PUNCT
ajird-292	23	1	the	the	DET
ajird-292	23	2	essence	essence	NOUN
ajird-292	23	3	of	of	ADP
ajird-292	23	4	this	this	DET
ajird-292	23	5	principle	principle	NOUN
ajird-292	23	6	is	be	AUX
ajird-292	23	7	that	that	SCONJ
ajird-292	23	8	each	each	DET
ajird-292	23	9	stage	stage	NOUN
ajird-292	23	10	of	of	ADP
ajird-292	23	11	education	education	NOUN
ajird-292	23	12	in	in	ADP
ajird-292	23	13	the	the	DET
ajird-292	23	14	school	school	NOUN
ajird-292	23	15	mathematics	mathematic	NOUN
ajird-292	23	16	course	course	NOUN
ajird-292	23	17	should	should	AUX
ajird-292	23	18	be	be	AUX
ajird-292	23	19	built	build	VERB
ajird-292	23	20	on	on	ADP
ajird-292	23	21	the	the	DET
ajird-292	23	22	basis	basis	NOUN
ajird-292	23	23	of	of	ADP
ajird-292	23	24	developmental	developmental	ADJ
ajird-292	23	25	education	education	NOUN
ajird-292	23	26	,	,	PUNCT
ajird-292	23	27	which	which	PRON
ajird-292	23	28	serves	serve	VERB
ajird-292	23	29	to	to	PART
ajird-292	23	30	form	form	VERB
ajird-292	23	31	active	active	ADJ
ajird-292	23	32	thinking	thinking	NOUN
ajird-292	23	33	activities	activity	NOUN
ajird-292	23	34	of	of	ADP
ajird-292	23	35	students	student	NOUN
ajird-292	23	36	.	.	PUNCT
ajird-292	24	1	it	it	PRON
ajird-292	24	2	is	be	AUX
ajird-292	24	3	impossible	impossible	ADJ
ajird-292	24	4	to	to	PART
ajird-292	24	5	achieve	achieve	VERB
ajird-292	24	6	the	the	DET
ajird-292	24	7	conscious	conscious	ADJ
ajird-292	24	8	assimilation	assimilation	NOUN
ajird-292	24	9	of	of	ADP
ajird-292	24	10	knowledge	knowledge	NOUN
ajird-292	24	11	by	by	ADP
ajird-292	24	12	students	student	NOUN
ajird-292	24	13	without	without	ADP
ajird-292	24	14	active	active	ADJ
ajird-292	24	15	thinking	thinking	NOUN
ajird-292	24	16	activities	activity	NOUN
ajird-292	24	17	in	in	ADP
ajird-292	24	18	mathematics	mathematic	NOUN
ajird-292	24	19	classes	class	NOUN
ajird-292	24	20	,	,	PUNCT
ajird-292	24	21	therefore	therefore	ADV
ajird-292	24	22	,	,	PUNCT
ajird-292	24	23	the	the	DET
ajird-292	24	24	main	main	ADJ
ajird-292	24	25	goal	goal	NOUN
ajird-292	24	26	of	of	ADP
ajird-292	24	27	the	the	DET
ajird-292	24	28	modern	modern	ADJ
ajird-292	24	29	school	school	NOUN
ajird-292	24	30	mathematics	mathematic	NOUN
ajird-292	24	31	course	course	NOUN
ajird-292	24	32	is	be	AUX
ajird-292	24	33	to	to	PART
ajird-292	24	34	form	form	VERB
ajird-292	24	35	active	active	ADJ
ajird-292	24	36	thinking	thinking	NOUN
ajird-292	24	37	activities	activity	NOUN
ajird-292	24	38	of	of	ADP
ajird-292	24	39	students	student	NOUN
ajird-292	24	40	in	in	ADP
ajird-292	24	41	mathematics	mathematic	NOUN
ajird-292	24	42	classes	class	NOUN
ajird-292	24	43	.	.	PUNCT
ajird-292	25	1	5	5	X
ajird-292	25	2	.	.	X
ajird-292	25	3	the	the	DET
ajird-292	25	4	principle	principle	NOUN
ajird-292	25	5	of	of	ADP
ajird-292	25	6	thorough	thorough	ADJ
ajird-292	25	7	mastering	mastering	NOUN
ajird-292	25	8	.	.	PUNCT
ajird-292	26	1	the	the	DET
ajird-292	26	2	principle	principle	NOUN
ajird-292	26	3	of	of	ADP
ajird-292	26	4	thorough	thorough	ADJ
ajird-292	26	5	mastering	mastering	NOUN
ajird-292	26	6	is	be	AUX
ajird-292	26	7	especially	especially	ADV
ajird-292	26	8	important	important	ADJ
ajird-292	26	9	in	in	ADP
ajird-292	26	10	achieving	achieve	VERB
ajird-292	26	11	thorough	thorough	ADJ
ajird-292	26	12	mastering	mastering	NOUN
ajird-292	26	13	of	of	ADP
ajird-292	26	14	mathematical	mathematical	ADJ
ajird-292	26	15	materials	material	NOUN
ajird-292	26	16	.	.	PUNCT
ajird-292	27	1	mathematical	mathematical	ADJ
ajird-292	27	2	concepts	concept	NOUN
ajird-292	27	3	are	be	AUX
ajird-292	27	4	interconnected	interconnect	VERB
ajird-292	27	5	in	in	ADP
ajird-292	27	6	such	such	DET
ajird-292	27	7	a	a	DET
ajird-292	27	8	way	way	NOUN
ajird-292	27	9	that	that	PRON
ajird-292	27	10	students	student	NOUN
ajird-292	27	11	will	will	AUX
ajird-292	27	12	not	not	PART
ajird-292	27	13	be	be	AUX
ajird-292	27	14	able	able	ADJ
ajird-292	27	15	to	to	PART
ajird-292	27	16	use	use	VERB
ajird-292	27	17	their	their	PRON
ajird-292	27	18	knowledge	knowledge	NOUN
ajird-292	27	19	in	in	ADP
ajird-292	27	20	life	life	NOUN
ajird-292	27	21	even	even	ADV
ajird-292	27	22	if	if	SCONJ
ajird-292	27	23	they	they	PRON
ajird-292	27	24	do	do	AUX
ajird-292	27	25	not	not	PART
ajird-292	27	26	know	know	VERB
ajird-292	27	27	only	only	ADV
ajird-292	27	28	a	a	DET
ajird-292	27	29	part	part	NOUN
ajird-292	27	30	of	of	ADP
ajird-292	27	31	the	the	DET
ajird-292	27	32	mandatory	mandatory	ADJ
ajird-292	27	33	american	american	ADJ
ajird-292	27	34	journal	journal	PROPN
ajird-292	27	35	of	of	ADP
ajird-292	27	36	interdisciplinary	interdisciplinary	ADJ
ajird-292	27	37	research	research	NOUN
ajird-292	27	38	and	and	CCONJ
ajird-292	27	39	development	development	NOUN
ajird-292	27	40	issn	issn	PROPN
ajird-292	27	41	online	online	NOUN
ajird-292	27	42	:	:	PUNCT
ajird-292	27	43	2771	2771	NUM
ajird-292	27	44	-	-	SYM
ajird-292	27	45	8948	8948	NUM
ajird-292	27	46	website	website	NOUN
ajird-292	27	47	:	:	PUNCT
ajird-292	27	48	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-292	27	49	volume	volume	NOUN
ajird-292	27	50	09	09	NUM
ajird-292	27	51	,	,	PUNCT
ajird-292	27	52	oct	oct	PROPN
ajird-292	27	53	.	.	PROPN
ajird-292	27	54	,	,	PUNCT
ajird-292	27	55	2022	2022	NUM
ajird-292	27	56	208	208	NUM
ajird-292	27	57	|	|	ADV
ajird-292	27	58	p	p	NOUN
ajird-292	27	59	a	a	DET
ajird-292	27	60	g	g	NOUN
ajird-292	27	61	e	e	NOUN
ajird-292	27	62	minimum	minimum	NOUN
ajird-292	27	63	.	.	PUNCT
ajird-292	28	1	in	in	ADP
ajird-292	28	2	mathematics	mathematic	NOUN
ajird-292	28	3	,	,	PUNCT
ajird-292	28	4	it	it	PRON
ajird-292	28	5	is	be	AUX
ajird-292	28	6	very	very	ADV
ajird-292	28	7	important	important	ADJ
ajird-292	28	8	to	to	PART
ajird-292	28	9	master	master	VERB
ajird-292	28	10	the	the	DET
ajird-292	28	11	skills	skill	NOUN
ajird-292	28	12	of	of	ADP
ajird-292	28	13	calculation	calculation	NOUN
ajird-292	28	14	,	,	PUNCT
ajird-292	28	15	literal	literal	ADJ
ajird-292	28	16	exchange	exchange	NOUN
ajird-292	28	17	of	of	ADP
ajird-292	28	18	algebraic	algebraic	ADJ
ajird-292	28	19	expressions	expression	NOUN
ajird-292	28	20	,	,	PUNCT
ajird-292	28	21	and	and	CCONJ
ajird-292	28	22	representation	representation	NOUN
ajird-292	28	23	of	of	ADP
ajird-292	28	24	geometric	geometric	ADJ
ajird-292	28	25	figures	figure	NOUN
ajird-292	28	26	.	.	PUNCT
ajird-292	29	1	especially	especially	ADV
ajird-292	29	2	in	in	ADP
ajird-292	29	3	mathematics	mathematic	NOUN
ajird-292	29	4	,	,	PUNCT
ajird-292	29	5	more	more	ADJ
ajird-292	29	6	than	than	ADP
ajird-292	29	7	in	in	ADP
ajird-292	29	8	other	other	ADJ
ajird-292	29	9	subjects	subject	NOUN
ajird-292	29	10	,	,	PUNCT
ajird-292	29	11	it	it	PRON
ajird-292	29	12	is	be	AUX
ajird-292	29	13	impossible	impossible	ADJ
ajird-292	29	14	to	to	PART
ajird-292	29	15	move	move	VERB
ajird-292	29	16	forward	forward	ADV
ajird-292	29	17	successfully	successfully	ADV
ajird-292	29	18	without	without	ADP
ajird-292	29	19	mastering	master	VERB
ajird-292	29	20	some	some	DET
ajird-292	29	21	part	part	NOUN
ajird-292	29	22	of	of	ADP
ajird-292	29	23	the	the	DET
ajird-292	29	24	program	program	NOUN
ajird-292	29	25	and	and	CCONJ
ajird-292	29	26	without	without	ADP
ajird-292	29	27	strengthening	strengthen	VERB
ajird-292	29	28	skills	skill	NOUN
ajird-292	29	29	well	well	ADV
ajird-292	29	30	.	.	PUNCT
ajird-292	30	1	6	6	X
ajird-292	30	2	.	.	X
ajird-292	30	3	systematic	systematic	ADJ
ajird-292	30	4	principle	principle	NOUN
ajird-292	30	5	.	.	PUNCT
ajird-292	31	1	the	the	DET
ajird-292	31	2	principle	principle	NOUN
ajird-292	31	3	of	of	ADP
ajird-292	31	4	systematicity	systematicity	NOUN
ajird-292	31	5	in	in	ADP
ajird-292	31	6	mathematics	mathematics	NOUN
ajird-292	31	7	lessons	lesson	NOUN
ajird-292	31	8	is	be	AUX
ajird-292	31	9	that	that	PRON
ajird-292	31	10	.	.	PUNCT
ajird-292	32	1	it	it	PRON
ajird-292	32	2	is	be	AUX
ajird-292	32	3	necessary	necessary	ADJ
ajird-292	32	4	to	to	PART
ajird-292	32	5	adapt	adapt	VERB
ajird-292	32	6	teaching	teaching	NOUN
ajird-292	32	7	to	to	ADP
ajird-292	32	8	the	the	DET
ajird-292	32	9	system	system	NOUN
ajird-292	32	10	of	of	ADP
ajird-292	32	11	this	this	DET
ajird-292	32	12	subject	subject	NOUN
ajird-292	32	13	.	.	PUNCT
ajird-292	33	1	results	result	NOUN
ajird-292	33	2	:	:	PUNCT
ajird-292	33	3	another	another	DET
ajird-292	33	4	aspect	aspect	NOUN
ajird-292	33	5	of	of	ADP
ajird-292	33	6	computer	computer	NOUN
ajird-292	33	7	convenience	convenience	NOUN
ajird-292	33	8	in	in	ADP
ajird-292	33	9	teaching	teach	VERB
ajird-292	33	10	mathematics	mathematic	NOUN
ajird-292	33	11	is	be	AUX
ajird-292	33	12	the	the	DET
ajird-292	33	13	modeling	modeling	NOUN
ajird-292	33	14	of	of	ADP
ajird-292	33	15	some	some	DET
ajird-292	33	16	educational	educational	ADJ
ajird-292	33	17	situations	situation	NOUN
ajird-292	33	18	.	.	PUNCT
ajird-292	34	1	the	the	DET
ajird-292	34	2	purpose	purpose	NOUN
ajird-292	34	3	of	of	ADP
ajird-292	34	4	using	use	VERB
ajird-292	34	5	simulation	simulation	NOUN
ajird-292	34	6	programs	program	NOUN
ajird-292	34	7	is	be	AUX
ajird-292	34	8	to	to	PART
ajird-292	34	9	facilitate	facilitate	VERB
ajird-292	34	10	the	the	DET
ajird-292	34	11	understanding	understanding	NOUN
ajird-292	34	12	of	of	ADP
ajird-292	34	13	material	material	NOUN
ajird-292	34	14	that	that	PRON
ajird-292	34	15	is	be	AUX
ajird-292	34	16	difficult	difficult	ADJ
ajird-292	34	17	to	to	PART
ajird-292	34	18	imagine	imagine	VERB
ajird-292	34	19	using	use	VERB
ajird-292	34	20	other	other	ADJ
ajird-292	34	21	teaching	teaching	NOUN
ajird-292	34	22	methods	method	NOUN
ajird-292	34	23	.	.	PUNCT
ajird-292	35	1	the	the	DET
ajird-292	35	2	introduction	introduction	NOUN
ajird-292	35	3	of	of	ADP
ajird-292	35	4	computer	computer	NOUN
ajird-292	35	5	technologies	technology	NOUN
ajird-292	35	6	in	in	ADP
ajird-292	35	7	educational	educational	ADJ
ajird-292	35	8	institutions	institution	NOUN
ajird-292	35	9	opens	open	VERB
ajird-292	35	10	a	a	DET
ajird-292	35	11	wide	wide	ADJ
ajird-292	35	12	path	path	NOUN
ajird-292	35	13	to	to	ADP
ajird-292	35	14	the	the	DET
ajird-292	35	15	optimization	optimization	NOUN
ajird-292	35	16	of	of	ADP
ajird-292	35	17	the	the	DET
ajird-292	35	18	educational	educational	ADJ
ajird-292	35	19	process	process	NOUN
ajird-292	35	20	.	.	PUNCT
ajird-292	36	1	in	in	ADP
ajird-292	36	2	the	the	DET
ajird-292	36	3	next	next	ADJ
ajird-292	36	4	decade	decade	NOUN
ajird-292	36	5	,	,	PUNCT
ajird-292	36	6	the	the	DET
ajird-292	36	7	use	use	NOUN
ajird-292	36	8	of	of	ADP
ajird-292	36	9	computers	computer	NOUN
ajird-292	36	10	in	in	ADP
ajird-292	36	11	mathematics	mathematics	NOUN
ajird-292	36	12	education	education	NOUN
ajird-292	36	13	was	be	AUX
ajird-292	36	14	carried	carry	VERB
ajird-292	36	15	out	out	ADP
ajird-292	36	16	in	in	ADP
ajird-292	36	17	several	several	ADJ
ajird-292	36	18	main	main	ADJ
ajird-292	36	19	directions	direction	NOUN
ajird-292	36	20	.	.	PUNCT
ajird-292	37	1	these	these	PRON
ajird-292	37	2	include	include	VERB
ajird-292	37	3	computer	computer	NOUN
ajird-292	37	4	-	-	PUNCT
ajird-292	37	5	aided	aid	VERB
ajird-292	37	6	assessment	assessment	NOUN
ajird-292	37	7	of	of	ADP
ajird-292	37	8	knowledge	knowledge	NOUN
ajird-292	37	9	,	,	PUNCT
ajird-292	37	10	development	development	NOUN
ajird-292	37	11	and	and	CCONJ
ajird-292	37	12	development	development	NOUN
ajird-292	37	13	of	of	ADP
ajird-292	37	14	various	various	ADJ
ajird-292	37	15	types	type	NOUN
ajird-292	37	16	of	of	ADP
ajird-292	37	17	educational	educational	ADJ
ajird-292	37	18	programs	program	NOUN
ajird-292	37	19	,	,	PUNCT
ajird-292	37	20	development	development	NOUN
ajird-292	37	21	of	of	ADP
ajird-292	37	22	cognitive	cognitive	ADJ
ajird-292	37	23	mathematical	mathematical	ADJ
ajird-292	37	24	games	game	NOUN
ajird-292	37	25	,	,	PUNCT
ajird-292	37	26	etc	etc	X
ajird-292	37	27	.	.	X
ajird-292	38	1	according	accord	VERB
ajird-292	38	2	to	to	ADP
ajird-292	38	3	experts	expert	NOUN
ajird-292	38	4	,	,	PUNCT
ajird-292	38	5	a	a	DET
ajird-292	38	6	student	student	NOUN
ajird-292	38	7	who	who	PRON
ajird-292	38	8	has	have	AUX
ajird-292	38	9	mastered	master	VERB
ajird-292	38	10	mathematics	mathematic	NOUN
ajird-292	38	11	well	well	ADV
ajird-292	38	12	has	have	VERB
ajird-292	38	13	a	a	DET
ajird-292	38	14	high	high	ADJ
ajird-292	38	15	analytical	analytical	ADJ
ajird-292	38	16	and	and	CCONJ
ajird-292	38	17	logical	logical	ADJ
ajird-292	38	18	thinking	thinking	NOUN
ajird-292	38	19	ability	ability	NOUN
ajird-292	38	20	.	.	PUNCT
ajird-292	39	1	it	it	PRON
ajird-292	39	2	develops	develop	VERB
ajird-292	39	3	the	the	DET
ajird-292	39	4	ability	ability	NOUN
ajird-292	39	5	to	to	PART
ajird-292	39	6	make	make	VERB
ajird-292	39	7	quick	quick	ADJ
ajird-292	39	8	decisions	decision	NOUN
ajird-292	39	9	,	,	PUNCT
ajird-292	39	10	discuss	discuss	VERB
ajird-292	39	11	and	and	CCONJ
ajird-292	39	12	negotiate	negotiate	VERB
ajird-292	39	13	,	,	PUNCT
ajird-292	39	14	and	and	CCONJ
ajird-292	39	15	do	do	VERB
ajird-292	39	16	things	thing	NOUN
ajird-292	39	17	step	step	VERB
ajird-292	39	18	by	by	ADP
ajird-292	39	19	step	step	NOUN
ajird-292	39	20	,	,	PUNCT
ajird-292	39	21	not	not	PART
ajird-292	39	22	only	only	ADV
ajird-292	39	23	in	in	ADP
ajird-292	39	24	solving	solve	VERB
ajird-292	39	25	examples	example	NOUN
ajird-292	39	26	and	and	CCONJ
ajird-292	39	27	problems	problem	NOUN
ajird-292	39	28	,	,	PUNCT
ajird-292	39	29	but	but	CCONJ
ajird-292	39	30	also	also	ADV
ajird-292	39	31	in	in	ADP
ajird-292	39	32	various	various	ADJ
ajird-292	39	33	situations	situation	NOUN
ajird-292	39	34	in	in	ADP
ajird-292	39	35	life	life	NOUN
ajird-292	39	36	.	.	PUNCT
ajird-292	40	1	mathematical	mathematical	ADJ
ajird-292	40	2	thinking	thinking	NOUN
ajird-292	40	3	also	also	ADV
ajird-292	40	4	takes	take	VERB
ajird-292	40	5	it	it	PRON
ajird-292	40	6	to	to	ADP
ajird-292	40	7	the	the	DET
ajird-292	40	8	level	level	NOUN
ajird-292	40	9	of	of	ADP
ajird-292	40	10	predicting	predict	VERB
ajird-292	40	11	what	what	PRON
ajird-292	40	12	will	will	AUX
ajird-292	40	13	happen	happen	VERB
ajird-292	40	14	in	in	ADP
ajird-292	40	15	the	the	DET
ajird-292	40	16	future	future	NOUN
ajird-292	40	17	,	,	PUNCT
ajird-292	40	18	what	what	PRON
ajird-292	40	19	will	will	AUX
ajird-292	40	20	happen	happen	VERB
ajird-292	40	21	in	in	ADP
ajird-292	40	22	the	the	DET
ajird-292	40	23	environment	environment	NOUN
ajird-292	40	24	.	.	PUNCT
ajird-292	41	1	didactic	didactic	ADJ
ajird-292	41	2	principles	principle	NOUN
ajird-292	41	3	encourage	encourage	VERB
ajird-292	41	4	students	student	NOUN
ajird-292	41	5	to	to	PART
ajird-292	41	6	make	make	VERB
ajird-292	41	7	the	the	DET
ajird-292	41	8	lesson	lesson	NOUN
ajird-292	41	9	interesting	interesting	ADJ
ajird-292	41	10	and	and	CCONJ
ajird-292	41	11	effective	effective	ADJ
ajird-292	41	12	,	,	PUNCT
ajird-292	41	13	to	to	PART
ajird-292	41	14	easily	easily	ADV
ajird-292	41	15	acquire	acquire	VERB
ajird-292	41	16	theoretical	theoretical	ADJ
ajird-292	41	17	knowledge	knowledge	NOUN
ajird-292	41	18	of	of	ADP
ajird-292	41	19	mathematics	mathematic	NOUN
ajird-292	41	20	.	.	PUNCT
ajird-292	42	1	a	a	DET
ajird-292	42	2	lot	lot	NOUN
ajird-292	42	3	of	of	ADP
ajird-292	42	4	success	success	NOUN
ajird-292	42	5	can	can	AUX
ajird-292	42	6	be	be	AUX
ajird-292	42	7	achieved	achieve	VERB
ajird-292	42	8	with	with	ADP
ajird-292	42	9	principles	principle	NOUN
ajird-292	42	10	.	.	PUNCT
ajird-292	43	1	even	even	ADV
ajird-292	43	2	the	the	DET
ajird-292	43	3	most	most	ADV
ajird-292	43	4	lazy	lazy	ADJ
ajird-292	43	5	student	student	NOUN
ajird-292	43	6	can	can	AUX
ajird-292	43	7	be	be	AUX
ajird-292	43	8	interested	interested	ADJ
ajird-292	43	9	in	in	ADP
ajird-292	43	10	science	science	NOUN
ajird-292	43	11	and	and	CCONJ
ajird-292	43	12	taught	teach	VERB
ajird-292	43	13	to	to	PART
ajird-292	43	14	be	be	AUX
ajird-292	43	15	active	active	ADJ
ajird-292	43	16	.	.	PUNCT
ajird-292	44	1	therefore	therefore	ADV
ajird-292	44	2	,	,	PUNCT
ajird-292	44	3	the	the	DET
ajird-292	44	4	knowledge	knowledge	NOUN
ajird-292	44	5	given	give	VERB
ajird-292	44	6	to	to	ADP
ajird-292	44	7	the	the	DET
ajird-292	44	8	students	student	NOUN
ajird-292	44	9	is	be	AUX
ajird-292	44	10	organized	organize	VERB
ajird-292	44	11	as	as	ADP
ajird-292	44	12	a	a	DET
ajird-292	44	13	game	game	NOUN
ajird-292	44	14	according	accord	VERB
ajird-292	44	15	to	to	ADP
ajird-292	44	16	their	their	PRON
ajird-292	44	17	age	age	NOUN
ajird-292	44	18	characteristics	characteristic	NOUN
ajird-292	44	19	.	.	PUNCT
ajird-292	45	1	from	from	ADP
ajird-292	45	2	this	this	PRON
ajird-292	45	3	,	,	PUNCT
ajird-292	45	4	in	in	ADP
ajird-292	45	5	the	the	DET
ajird-292	45	6	process	process	NOUN
ajird-292	45	7	of	of	ADP
ajird-292	45	8	principles	principle	NOUN
ajird-292	45	9	,	,	PUNCT
ajird-292	45	10	students	student	NOUN
ajird-292	45	11	easily	easily	ADV
ajird-292	45	12	master	master	VERB
ajird-292	45	13	the	the	DET
ajird-292	45	14	materials	material	NOUN
ajird-292	45	15	given	give	VERB
ajird-292	45	16	in	in	ADP
ajird-292	45	17	the	the	DET
ajird-292	45	18	mathematics	mathematics	NOUN
ajird-292	45	19	textbook	textbook	NOUN
ajird-292	45	20	,	,	PUNCT
ajird-292	45	21	which	which	PRON
ajird-292	45	22	are	be	AUX
ajird-292	45	23	difficult	difficult	ADJ
ajird-292	45	24	to	to	PART
ajird-292	45	25	master	master	VERB
ajird-292	45	26	,	,	PUNCT
ajird-292	45	27	and	and	CCONJ
ajird-292	45	28	at	at	ADP
ajird-292	45	29	the	the	DET
ajird-292	45	30	same	same	ADJ
ajird-292	45	31	time	time	NOUN
ajird-292	45	32	,	,	PUNCT
ajird-292	45	33	they	they	PRON
ajird-292	45	34	are	be	AUX
ajird-292	45	35	able	able	ADJ
ajird-292	45	36	to	to	PART
ajird-292	45	37	observe	observe	VERB
ajird-292	45	38	the	the	DET
ajird-292	45	39	environment	environment	NOUN
ajird-292	45	40	,	,	PUNCT
ajird-292	45	41	events	event	NOUN
ajird-292	45	42	,	,	PUNCT
ajird-292	45	43	compare	compare	ADJ
ajird-292	45	44	,	,	PUNCT
ajird-292	45	45	think	think	VERB
ajird-292	45	46	about	about	ADP
ajird-292	45	47	them	they	PRON
ajird-292	45	48	,	,	PUNCT
ajird-292	45	49	and	and	CCONJ
ajird-292	45	50	learn	learn	VERB
ajird-292	45	51	from	from	ADP
ajird-292	45	52	them	they	PRON
ajird-292	45	53	.	.	PUNCT
ajird-292	46	1	they	they	PRON
ajird-292	46	2	learn	learn	VERB
ajird-292	46	3	to	to	PART
ajird-292	46	4	make	make	VERB
ajird-292	46	5	valid	valid	ADJ
ajird-292	46	6	conclusions	conclusion	NOUN
ajird-292	46	7	and	and	CCONJ
ajird-292	46	8	to	to	PART
ajird-292	46	9	justify	justify	VERB
ajird-292	46	10	the	the	DET
ajird-292	46	11	conclusions	conclusion	NOUN
ajird-292	46	12	.	.	PUNCT
ajird-292	47	1	it	it	PRON
ajird-292	47	2	is	be	AUX
ajird-292	47	3	desirable	desirable	ADJ
ajird-292	47	4	to	to	PART
ajird-292	47	5	make	make	VERB
ajird-292	47	6	students	student	NOUN
ajird-292	47	7	interested	interested	ADJ
ajird-292	47	8	in	in	ADP
ajird-292	47	9	mathematics	mathematic	NOUN
ajird-292	47	10	and	and	CCONJ
ajird-292	47	11	achieve	achieve	VERB
ajird-292	47	12	their	their	PRON
ajird-292	47	13	correct	correct	ADJ
ajird-292	47	14	acquisition	acquisition	NOUN
ajird-292	47	15	of	of	ADP
ajird-292	47	16	knowledge	knowledge	NOUN
ajird-292	47	17	,	,	PUNCT
ajird-292	47	18	skills	skill	NOUN
ajird-292	47	19	,	,	PUNCT
ajird-292	47	20	and	and	CCONJ
ajird-292	47	21	abilities	ability	NOUN
ajird-292	47	22	through	through	ADP
ajird-292	47	23	didactic	didactic	ADJ
ajird-292	47	24	principles	principle	NOUN
ajird-292	47	25	.	.	PUNCT
ajird-292	48	1	discussion	discussion	NOUN
ajird-292	48	2	:	:	PUNCT
ajird-292	48	3	the	the	DET
ajird-292	48	4	educational	educational	ADJ
ajird-292	48	5	function	function	NOUN
ajird-292	48	6	of	of	ADP
ajird-292	48	7	the	the	DET
ajird-292	48	8	issue	issue	NOUN
ajird-292	48	9	forms	form	VERB
ajird-292	48	10	a	a	DET
ajird-292	48	11	scientific	scientific	ADJ
ajird-292	48	12	worldview	worldview	NOUN
ajird-292	48	13	in	in	ADP
ajird-292	48	14	students	student	NOUN
ajird-292	48	15	and	and	CCONJ
ajird-292	48	16	educates	educate	VERB
ajird-292	48	17	them	they	PRON
ajird-292	48	18	in	in	ADP
ajird-292	48	19	the	the	DET
ajird-292	48	20	spirit	spirit	NOUN
ajird-292	48	21	of	of	ADP
ajird-292	48	22	love	love	NOUN
ajird-292	48	23	for	for	ADP
ajird-292	48	24	work	work	NOUN
ajird-292	48	25	.	.	PUNCT
ajird-292	49	1	we	we	PRON
ajird-292	49	2	know	know	VERB
ajird-292	49	3	that	that	SCONJ
ajird-292	49	4	the	the	DET
ajird-292	49	5	object	object	NOUN
ajird-292	49	6	of	of	ADP
ajird-292	49	7	study	study	NOUN
ajird-292	49	8	of	of	ADP
ajird-292	49	9	mathematics	mathematic	NOUN
ajird-292	49	10	is	be	AUX
ajird-292	49	11	to	to	PART
ajird-292	49	12	study	study	VERB
ajird-292	49	13	the	the	DET
ajird-292	49	14	spatial	spatial	ADJ
ajird-292	49	15	forms	form	NOUN
ajird-292	49	16	of	of	ADP
ajird-292	49	17	things	thing	NOUN
ajird-292	49	18	in	in	ADP
ajird-292	49	19	matter	matter	NOUN
ajird-292	49	20	and	and	CCONJ
ajird-292	49	21	the	the	DET
ajird-292	49	22	quantitative	quantitative	ADJ
ajird-292	49	23	american	american	ADJ
ajird-292	49	24	journal	journal	PROPN
ajird-292	49	25	of	of	ADP
ajird-292	49	26	interdisciplinary	interdisciplinary	ADJ
ajird-292	49	27	research	research	NOUN
ajird-292	49	28	and	and	CCONJ
ajird-292	49	29	development	development	NOUN
ajird-292	49	30	issn	issn	PROPN
ajird-292	49	31	online	online	NOUN
ajird-292	49	32	:	:	PUNCT
ajird-292	49	33	2771	2771	NUM
ajird-292	49	34	-	-	SYM
ajird-292	49	35	8948	8948	NUM
ajird-292	49	36	website	website	NOUN
ajird-292	49	37	:	:	PUNCT
ajird-292	49	38	www.ajird.journalspark.org	www.ajird.journalspark.org	ADJ
ajird-292	49	39	volume	volume	NOUN
ajird-292	49	40	09	09	NUM
ajird-292	49	41	,	,	PUNCT
ajird-292	49	42	oct	oct	PROPN
ajird-292	49	43	.	.	PROPN
ajird-292	49	44	,	,	PUNCT
ajird-292	49	45	2022	2022	NUM
ajird-292	49	46	209	209	NUM
ajird-292	50	1	|	|	ADV
ajird-292	50	2	p	p	ADP
ajird-292	50	3	a	a	DET
ajird-292	50	4	g	g	NOUN
ajird-292	50	5	e	e	NOUN
ajird-292	50	6	relationships	relationship	NOUN
ajird-292	50	7	between	between	ADP
ajird-292	50	8	them	they	PRON
ajird-292	50	9	.	.	PUNCT
ajird-292	51	1	the	the	DET
ajird-292	51	2	application	application	NOUN
ajird-292	51	3	of	of	ADP
ajird-292	51	4	formulas	formula	NOUN
ajird-292	51	5	to	to	ADP
ajird-292	51	6	solving	solve	VERB
ajird-292	51	7	elementary	elementary	ADJ
ajird-292	51	8	problems	problem	NOUN
ajird-292	51	9	in	in	ADP
ajird-292	51	10	our	our	PRON
ajird-292	51	11	daily	daily	ADJ
ajird-292	51	12	life	life	NOUN
ajird-292	51	13	forms	form	VERB
ajird-292	51	14	a	a	DET
ajird-292	51	15	scientific	scientific	ADJ
ajird-292	51	16	outlook	outlook	NOUN
ajird-292	51	17	in	in	ADP
ajird-292	51	18	students	student	NOUN
ajird-292	51	19	.	.	PUNCT
ajird-292	52	1	of	of	ADP
ajird-292	52	2	course	course	NOUN
ajird-292	52	3	,	,	PUNCT
ajird-292	52	4	the	the	DET
ajird-292	52	5	teacher	teacher	NOUN
ajird-292	52	6	should	should	AUX
ajird-292	52	7	be	be	AUX
ajird-292	52	8	based	base	VERB
ajird-292	52	9	on	on	ADP
ajird-292	52	10	the	the	DET
ajird-292	52	11	theory	theory	NOUN
ajird-292	52	12	of	of	ADP
ajird-292	52	13	knowledge	knowledge	NOUN
ajird-292	52	14	here	here	ADV
ajird-292	52	15	.	.	PUNCT
ajird-292	53	1	the	the	DET
ajird-292	53	2	introduction	introduction	NOUN
ajird-292	53	3	of	of	ADP
ajird-292	53	4	computer	computer	NOUN
ajird-292	53	5	technologies	technology	NOUN
ajird-292	53	6	in	in	ADP
ajird-292	53	7	educational	educational	ADJ
ajird-292	53	8	institutions	institution	NOUN
ajird-292	53	9	opens	open	VERB
ajird-292	53	10	a	a	DET
ajird-292	53	11	wide	wide	ADJ
ajird-292	53	12	path	path	NOUN
ajird-292	53	13	to	to	ADP
ajird-292	53	14	the	the	DET
ajird-292	53	15	optimization	optimization	NOUN
ajird-292	53	16	of	of	ADP
ajird-292	53	17	the	the	DET
ajird-292	53	18	educational	educational	ADJ
ajird-292	53	19	process	process	NOUN
ajird-292	53	20	.	.	PUNCT
ajird-292	54	1	in	in	ADP
ajird-292	54	2	the	the	DET
ajird-292	54	3	next	next	ADJ
ajird-292	54	4	decade	decade	NOUN
ajird-292	54	5	,	,	PUNCT
ajird-292	54	6	the	the	DET
ajird-292	54	7	use	use	NOUN
ajird-292	54	8	of	of	ADP
ajird-292	54	9	computers	computer	NOUN
ajird-292	54	10	in	in	ADP
ajird-292	54	11	mathematics	mathematics	NOUN
ajird-292	54	12	education	education	NOUN
ajird-292	54	13	was	be	AUX
ajird-292	54	14	carried	carry	VERB
ajird-292	54	15	out	out	ADP
ajird-292	54	16	in	in	ADP
ajird-292	54	17	several	several	ADJ
ajird-292	54	18	main	main	ADJ
ajird-292	54	19	directions	direction	NOUN
ajird-292	54	20	.	.	PUNCT
ajird-292	55	1	these	these	PRON
ajird-292	55	2	include	include	VERB
ajird-292	55	3	computer	computer	NOUN
ajird-292	55	4	-	-	PUNCT
ajird-292	55	5	aided	aid	VERB
ajird-292	55	6	assessment	assessment	NOUN
ajird-292	55	7	of	of	ADP
ajird-292	55	8	knowledge	knowledge	NOUN
ajird-292	55	9	,	,	PUNCT
ajird-292	55	10	development	development	NOUN
ajird-292	55	11	and	and	CCONJ
ajird-292	55	12	development	development	NOUN
ajird-292	55	13	of	of	ADP
ajird-292	55	14	various	various	ADJ
ajird-292	55	15	types	type	NOUN
ajird-292	55	16	of	of	ADP
ajird-292	55	17	educational	educational	ADJ
ajird-292	55	18	programs	program	NOUN
ajird-292	55	19	,	,	PUNCT
ajird-292	55	20	development	development	NOUN
ajird-292	55	21	of	of	ADP
ajird-292	55	22	cognitive	cognitive	ADJ
ajird-292	55	23	mathematical	mathematical	ADJ
ajird-292	55	24	games	game	NOUN
ajird-292	55	25	,	,	PUNCT
ajird-292	55	26	etc	etc	X
ajird-292	55	27	.	.	X
ajird-292	56	1	it	it	PRON
ajird-292	56	2	is	be	AUX
ajird-292	56	3	important	important	ADJ
ajird-292	56	4	to	to	PART
ajird-292	56	5	choose	choose	VERB
ajird-292	56	6	the	the	DET
ajird-292	56	7	right	right	ADJ
ajird-292	56	8	didactic	didactic	ADJ
ajird-292	56	9	principles	principle	NOUN
ajird-292	56	10	while	while	SCONJ
ajird-292	56	11	preparing	prepare	VERB
ajird-292	56	12	for	for	ADP
ajird-292	56	13	the	the	DET
ajird-292	56	14	lesson	lesson	NOUN
ajird-292	56	15	.	.	PUNCT
ajird-292	57	1	preparation	preparation	NOUN
ajird-292	57	2	of	of	ADP
ajird-292	57	3	didactic	didactic	ADJ
ajird-292	57	4	materials	material	NOUN
ajird-292	57	5	for	for	ADP
ajird-292	57	6	didactic	didactic	ADJ
ajird-292	57	7	principles	principle	NOUN
ajird-292	57	8	,	,	PUNCT
ajird-292	57	9	proper	proper	ADJ
ajird-292	57	10	timing	timing	NOUN
ajird-292	57	11	and	and	CCONJ
ajird-292	57	12	proper	proper	ADJ
ajird-292	57	13	control	control	NOUN
ajird-292	57	14	of	of	ADP
ajird-292	57	15	didactic	didactic	ADJ
ajird-292	57	16	principle	principle	NOUN
ajird-292	57	17	process	process	NOUN
ajird-292	57	18	,	,	PUNCT
ajird-292	57	19	completion	completion	NOUN
ajird-292	57	20	of	of	ADP
ajird-292	57	21	didactic	didactic	ADJ
ajird-292	57	22	principle	principle	NOUN
ajird-292	57	23	and	and	CCONJ
ajird-292	57	24	objective	objective	ADJ
ajird-292	57	25	evaluation	evaluation	NOUN
ajird-292	57	26	should	should	AUX
ajird-292	57	27	be	be	AUX
ajird-292	57	28	clearly	clearly	ADV
ajird-292	57	29	planned	plan	VERB
ajird-292	57	30	.	.	PUNCT
ajird-292	58	1	in	in	ADP
ajird-292	58	2	this	this	DET
ajird-292	58	3	case	case	NOUN
ajird-292	58	4	,	,	PUNCT
ajird-292	58	5	the	the	DET
ajird-292	58	6	following	follow	VERB
ajird-292	58	7	actions	action	NOUN
ajird-292	58	8	are	be	AUX
ajird-292	58	9	performed	perform	VERB
ajird-292	58	10	.	.	PUNCT
ajird-292	59	1	sufficient	sufficient	ADJ
ajird-292	59	2	preparation	preparation	NOUN
ajird-292	59	3	of	of	ADP
ajird-292	59	4	didactic	didactic	ADJ
ajird-292	59	5	materials	material	NOUN
ajird-292	59	6	;	;	PUNCT
ajird-292	59	7	timely	timely	ADJ
ajird-292	59	8	monitoring	monitoring	NOUN
ajird-292	59	9	of	of	ADP
ajird-292	59	10	mistakes	mistake	NOUN
ajird-292	59	11	made	make	VERB
ajird-292	59	12	in	in	ADP
ajird-292	59	13	the	the	DET
ajird-292	59	14	process	process	NOUN
ajird-292	59	15	of	of	ADP
ajird-292	59	16	didactic	didactic	ADJ
ajird-292	59	17	principle	principle	NOUN
ajird-292	59	18	and	and	CCONJ
ajird-292	59	19	correcting	correct	VERB
ajird-292	59	20	them	they	PRON
ajird-292	59	21	along	along	ADP
ajird-292	59	22	the	the	DET
ajird-292	59	23	way	way	NOUN
ajird-292	59	24	;	;	PUNCT
ajird-292	59	25	it	it	PRON
ajird-292	59	26	is	be	AUX
ajird-292	59	27	necessary	necessary	ADJ
ajird-292	59	28	to	to	PART
ajird-292	59	29	pay	pay	VERB
ajird-292	59	30	attention	attention	NOUN
ajird-292	59	31	to	to	ADP
ajird-292	59	32	didactic	didactic	ADJ
ajird-292	59	33	principles	principle	NOUN
ajird-292	59	34	to	to	PART
ajird-292	59	35	form	form	VERB
ajird-292	59	36	and	and	CCONJ
ajird-292	59	37	develop	develop	VERB
ajird-292	59	38	intelligence	intelligence	NOUN
ajird-292	59	39	and	and	CCONJ
ajird-292	59	40	independence	independence	NOUN
ajird-292	59	41	in	in	ADP
ajird-292	59	42	students	student	NOUN
ajird-292	59	43	.	.	PUNCT
ajird-292	60	1	conclusion	conclusion	NOUN
ajird-292	60	2	in	in	ADP
ajird-292	60	3	conclusion	conclusion	NOUN
ajird-292	60	4	,	,	PUNCT
ajird-292	60	5	it	it	PRON
ajird-292	60	6	should	should	AUX
ajird-292	60	7	be	be	AUX
ajird-292	60	8	said	say	VERB
ajird-292	60	9	that	that	SCONJ
ajird-292	60	10	through	through	ADP
ajird-292	60	11	didactic	didactic	ADJ
ajird-292	60	12	principles	principle	NOUN
ajird-292	60	13	,	,	PUNCT
ajird-292	60	14	pupils	pupil	NOUN
ajird-292	60	15	develop	develop	VERB
ajird-292	60	16	the	the	DET
ajird-292	60	17	skills	skill	NOUN
ajird-292	60	18	of	of	ADP
ajird-292	60	19	being	be	AUX
ajird-292	60	20	present	present	ADJ
ajird-292	60	21	,	,	PUNCT
ajird-292	60	22	independent	independent	ADJ
ajird-292	60	23	thinking	thinking	NOUN
ajird-292	60	24	,	,	PUNCT
ajird-292	60	25	and	and	CCONJ
ajird-292	60	26	they	they	PRON
ajird-292	60	27	learn	learn	VERB
ajird-292	60	28	to	to	PART
ajird-292	60	29	carefully	carefully	ADV
ajird-292	60	30	observe	observe	VERB
ajird-292	60	31	the	the	DET
ajird-292	60	32	environment	environment	NOUN
ajird-292	60	33	,	,	PUNCT
ajird-292	60	34	and	and	CCONJ
ajird-292	60	35	their	their	PRON
ajird-292	60	36	interest	interest	NOUN
ajird-292	60	37	in	in	ADP
ajird-292	60	38	the	the	DET
ajird-292	60	39	events	event	NOUN
ajird-292	60	40	happening	happen	VERB
ajird-292	60	41	around	around	ADP
ajird-292	60	42	them	they	PRON
ajird-292	60	43	increases	increase	NOUN
ajird-292	60	44	.	.	PUNCT
ajird-292	61	1	this	this	DET
ajird-292	61	2	principle	principle	NOUN
ajird-292	61	3	can	can	AUX
ajird-292	61	4	be	be	AUX
ajird-292	61	5	used	use	VERB
ajird-292	61	6	in	in	ADP
ajird-292	61	7	the	the	DET
ajird-292	61	8	reinforcement	reinforcement	NOUN
ajird-292	61	9	part	part	NOUN
ajird-292	61	10	of	of	ADP
ajird-292	61	11	the	the	DET
ajird-292	61	12	lesson	lesson	NOUN
ajird-292	61	13	or	or	CCONJ
ajird-292	61	14	during	during	ADP
ajird-292	61	15	a	a	DET
ajird-292	61	16	break	break	NOUN
ajird-292	61	17	.	.	PUNCT
ajird-292	62	1	using	use	VERB
ajird-292	62	2	modeling	modeling	NOUN
ajird-292	62	3	,	,	PUNCT
ajird-292	62	4	students	student	NOUN
ajird-292	62	5	can	can	AUX
ajird-292	62	6	present	present	VERB
ajird-292	62	7	information	information	NOUN
ajird-292	62	8	graphically	graphically	ADV
ajird-292	62	9	in	in	ADP
ajird-292	62	10	the	the	DET
ajird-292	62	11	form	form	NOUN
ajird-292	62	12	of	of	ADP
ajird-292	62	13	computer	computer	NOUN
ajird-292	62	14	multimedia	multimedia	NOUN
ajird-292	62	15	.	.	PUNCT
ajird-292	63	1	as	as	ADP
ajird-292	63	2	a	a	DET
ajird-292	63	3	result	result	NOUN
ajird-292	63	4	,	,	PUNCT
ajird-292	63	5	they	they	PRON
ajird-292	63	6	tend	tend	VERB
ajird-292	63	7	to	to	PART
ajird-292	63	8	be	be	AUX
ajird-292	63	9	more	more	ADV
ajird-292	63	10	independent	independent	ADJ
ajird-292	63	11	in	in	ADP
ajird-292	63	12	the	the	DET
ajird-292	63	13	deep	deep	ADJ
ajird-292	63	14	learning	learning	NOUN
ajird-292	63	15	of	of	ADP
ajird-292	63	16	mathematics	mathematic	NOUN
ajird-292	63	17	and	and	CCONJ
ajird-292	63	18	in	in	ADP
ajird-292	63	19	the	the	DET
ajird-292	63	20	learning	learning	NOUN
ajird-292	63	21	process	process	NOUN
ajird-292	63	22	.	.	PUNCT
ajird-292	64	1	in	in	ADP
ajird-292	64	2	order	order	NOUN
ajird-292	64	3	to	to	PART
ajird-292	64	4	quickly	quickly	ADV
ajird-292	64	5	and	and	CCONJ
ajird-292	64	6	accurately	accurately	ADV
ajird-292	64	7	solve	solve	VERB
ajird-292	64	8	a	a	DET
ajird-292	64	9	mathematical	mathematical	ADJ
ajird-292	64	10	problem	problem	NOUN
ajird-292	64	11	that	that	PRON
ajird-292	64	12	arises	arise	VERB
ajird-292	64	13	in	in	ADP
ajird-292	64	14	many	many	ADJ
ajird-292	64	15	cases	case	NOUN
ajird-292	64	16	,	,	PUNCT
ajird-292	64	17	a	a	DET
ajird-292	64	18	professional	professional	ADJ
ajird-292	64	19	mathematician	mathematician	NOUN
ajird-292	64	20	is	be	AUX
ajird-292	64	21	required	require	VERB
ajird-292	64	22	to	to	PART
ajird-292	64	23	know	know	VERB
ajird-292	64	24	a	a	DET
ajird-292	64	25	certain	certain	ADJ
ajird-292	64	26	algorithmic	algorithmic	ADJ
ajird-292	64	27	language	language	NOUN
ajird-292	64	28	and	and	CCONJ
ajird-292	64	29	programming	programming	NOUN
ajird-292	64	30	along	along	ADV
ajird-292	64	31	with	with	ADP
ajird-292	64	32	his	his	PRON
ajird-292	64	33	profession	profession	NOUN
ajird-292	64	34	.	.	PUNCT
ajird-292	65	1	references	reference	NOUN
ajird-292	65	2	1	1	NUM
ajird-292	65	3	.	.	PUNCT
ajird-292	65	4	sh.a	sh.a	PROPN
ajird-292	65	5	.	.	PUNCT
ajird-292	66	1	alimov	alimov	PROPN
ajird-292	66	2	,	,	PUNCT
ajird-292	66	3	a.r	a.r	PROPN
ajird-292	66	4	.	.	PROPN
ajird-292	66	5	khalmukhamedov	khalmukhamedov	PROPN
ajird-292	66	6	,	,	PUNCT
ajird-292	66	7	m.a	m.a	PROPN
ajird-292	66	8	.	.	PROPN
ajird-292	66	9	mirzakhmedov	mirzakhmedov	PROPN
ajird-292	66	10	.	.	PUNCT
ajird-292	67	1	algebra	algebra	PROPN
ajird-292	67	2	.	.	PUNCT
ajird-292	68	1	4th	4th	ADJ
ajird-292	68	2	edition	edition	PROPN
ajird-292	68	3	.	.	PUNCT
ajird-292	69	1	tashkent	tashkent	PROPN
ajird-292	69	2	:	:	PUNCT
ajird-292	69	3	"	"	PUNCT
ajird-292	69	4	teacher	teacher	NOUN
ajird-292	69	5	"	"	PUNCT
ajird-292	69	6	nmiu	nmiu	NOUN
ajird-292	69	7	,	,	PUNCT
ajird-292	69	8	2019	2019	NUM
ajird-292	69	9	.	.	PUNCT
ajird-292	70	1	2	2	X
ajird-292	70	2	.	.	X
ajird-292	70	3	nasritdinov	nasritdinov	PROPN
ajird-292	70	4	g'.n	g'.n	PROPN
ajird-292	70	5	.	.	PUNCT
ajird-292	70	6	,	,	PUNCT
ajird-292	70	7	mirzaahmedov	mirzaahmedov	PROPN
ajird-292	71	1	m.a	m.a	PROPN
ajird-292	71	2	.	.	PROPN
ajird-292	71	3	,	,	PUNCT
ajird-292	71	4	usmanov	usmanov	PROPN
ajird-292	71	5	f.r	f.r	PROPN
ajird-292	71	6	.	.	PROPN
ajird-292	71	7	,	,	PUNCT
ajird-292	71	8	aripova	aripova	PROPN
ajird-292	71	9	sh.r	sh.r	PROPN
ajird-292	71	10	.	.	PUNCT
ajird-292	72	1	algebra	algebra	NOUN
ajird-292	72	2	.	.	PUNCT
ajird-292	73	1	t.	t.	NOUN
ajird-292	73	2	:	:	PUNCT
ajird-292	73	3	"	"	PUNCT
ajird-292	73	4	gafur	gafur	NOUN
ajird-292	73	5	gulam	gulam	PROPN
ajird-292	73	6	creative	creative	ADJ
ajird-292	73	7	publishing	publishing	PROPN
ajird-292	73	8	house	house	PROPN
ajird-292	73	9	"	"	PUNCT
ajird-292	73	10	,	,	PUNCT
ajird-292	73	11	2012	2012	NUM
ajird-292	73	12	.	.	PUNCT
ajird-292	74	1	3	3	X
ajird-292	74	2	.	.	X
ajird-292	74	3	alikhanov	alikhanov	PROPN
ajird-292	74	4	s.	s.	PROPN
ajird-292	74	5	mathematics	mathematics	PROPN
ajird-292	74	6	teaching	teaching	NOUN
ajird-292	74	7	methodology	methodology	NOUN
ajird-292	74	8	.	.	PUNCT
ajird-292	75	1	t.	t.	PROPN
ajird-292	75	2	:	:	PUNCT
ajird-292	75	3	"	"	PUNCT
ajird-292	75	4	teacher	teacher	NOUN
ajird-292	75	5	"	"	PUNCT
ajird-292	75	6	,	,	PUNCT
ajird-292	75	7	2008	2008	NUM
ajird-292	75	8	.	.	PUNCT
ajird-292	76	1	4	4	X
ajird-292	76	2	.	.	X
ajird-292	76	3	"	"	PUNCT
ajird-292	76	4	fundamentals	fundamental	NOUN
ajird-292	76	5	of	of	ADP
ajird-292	76	6	algebra	algebra	NOUN
ajird-292	76	7	and	and	CCONJ
ajird-292	76	8	mathematical	mathematical	ADJ
ajird-292	76	9	analysis	analysis	NOUN
ajird-292	76	10	"	"	PUNCT
ajird-292	76	11	2006	2006	NUM
ajird-292	76	12	.	.	PUNCT
ajird-292	77	1	5	5	NUM
ajird-292	77	2	.	.	PUNCT
ajird-292	77	3	a.	a.	NOUN
ajird-292	77	4	azamov	azamov	PROPN
ajird-292	77	5	.	.	PUNCT
ajird-292	78	1	b.	b.	PROPN
ajird-292	78	2	haydarov	haydarov	PROPN
ajird-292	78	3	.	.	PUNCT
ajird-292	79	1	e.	e.	PROPN
ajird-292	79	2	sarikov	sarikov	PROPN
ajird-292	79	3	.	.	PUNCT
ajird-292	80	1	geometry	geometry	NOUN
ajird-292	80	2	.	.	PUNCT
ajird-292	81	1	third	third	PROPN
ajird-292	81	2	edition	edition	PROPN
ajird-292	81	3	,	,	PUNCT
ajird-292	81	4	corrected	correct	VERB
ajird-292	81	5	and	and	CCONJ
ajird-292	81	6	supplemented	supplement	VERB
ajird-292	81	7	.	.	PUNCT
ajird-292	82	1	-tashkent	-tashkent	NOUN
ajird-292	82	2	.	.	PUNCT
ajird-292	82	3	:	:	PUNCT
ajird-292	83	1	"	"	PUNCT
ajird-292	83	2	yangiyol	yangiyol	ADJ
ajird-292	83	3	polygraph	polygraph	PROPN
ajird-292	83	4	service	service	PROPN
ajird-292	83	5	"	"	PUNCT
ajird-292	83	6	,	,	PUNCT
ajird-292	83	7	2017	2017	NUM
ajird-292	83	8	.	.	PUNCT