id	sid	tid	token	lemma	pos
cte-300	1	1	methodology	methodology	NOUN
cte-300	1	2	of	of	ADP
cte-300	1	3	formation	formation	NOUN
cte-300	1	4	of	of	ADP
cte-300	1	5	modeling	modeling	NOUN
cte-300	1	6	skills	skill	NOUN
cte-300	1	7	based	base	VERB
cte-300	1	8	on	on	ADP
cte-300	1	9	a	a	DET
cte-300	1	10	constructive	constructive	ADJ
cte-300	1	11	approach	approach	NOUN
cte-300	1	12	(	(	PUNCT
cte-300	1	13	on	on	ADP
cte-300	1	14	the	the	DET
cte-300	1	15	example	example	NOUN
cte-300	1	16	of	of	ADP
cte-300	1	17	{	{	PUNCT
cte-300	1	18	geogebra	geogebra	NOUN
cte-300	1	19	}	}	PUNCT
cte-300	1	20	)	)	PUNCT
cte-300	1	21	cte	cte	NOUN
cte-300	1	22	workshop	workshop	NOUN
cte-300	1	23	proceedings	proceeding	NOUN
cte-300	1	24	,	,	PUNCT
cte-300	1	25	2021	2021	NUM
cte-300	1	26	,	,	PUNCT
cte-300	1	27	vol	vol	NOUN
cte-300	1	28	.	.	NOUN
cte-300	1	29	8	8	NUM
cte-300	1	30	:	:	PUNCT
cte-300	1	31	cte-2020	cte-2020	NOUN
cte-300	1	32	,	,	PUNCT
cte-300	1	33	pp	pp	ADP
cte-300	1	34	.	.	PUNCT
cte-300	2	1	458	458	NUM
cte-300	2	2	-	-	SYM
cte-300	2	3	472	472	NUM
cte-300	2	4	methodology	methodology	NOUN
cte-300	2	5	of	of	ADP
cte-300	2	6	formation	formation	NOUN
cte-300	2	7	of	of	ADP
cte-300	2	8	modeling	modeling	NOUN
cte-300	2	9	skills	skill	NOUN
cte-300	2	10	based	base	VERB
cte-300	2	11	on	on	ADP
cte-300	2	12	a	a	DET
cte-300	2	13	constructive	constructive	ADJ
cte-300	2	14	approach	approach	NOUN
cte-300	2	15	(	(	PUNCT
cte-300	2	16	on	on	ADP
cte-300	2	17	the	the	DET
cte-300	2	18	example	example	NOUN
cte-300	2	19	of	of	ADP
cte-300	2	20	geogebra	geogebra	NOUN
cte-300	2	21	)	)	PUNCT
cte-300	2	22	marina	marina	NOUN
cte-300	2	23	g.	g.	PROPN
cte-300	2	24	drushlyak1	drushlyak1	PROPN
cte-300	2	25	,	,	PUNCT
cte-300	2	26	olena	olena	PROPN
cte-300	2	27	v.	v.	ADP
cte-300	2	28	semenikhina1	semenikhina1	PROPN
cte-300	2	29	,	,	PUNCT
cte-300	2	30	volodymyr	volodymyr	PROPN
cte-300	2	31	v.	v.	ADP
cte-300	2	32	proshkin2	proshkin2	PROPN
cte-300	2	33	,	,	PUNCT
cte-300	2	34	serhii	serhii	PROPN
cte-300	2	35	ya	ya	PROPN
cte-300	2	36	.	.	PUNCT
cte-300	3	1	kharchenko3	kharchenko3	PROPN
cte-300	3	2	and	and	CCONJ
cte-300	3	3	tetyana	tetyana	PROPN
cte-300	3	4	d.	d.	PROPN
cte-300	3	5	lukashova1	lukashova1	PROPN
cte-300	3	6	1makarenko	1makarenko	NUM
cte-300	3	7	sumy	sumy	PROPN
cte-300	3	8	state	state	PROPN
cte-300	3	9	pedagogical	pedagogical	ADJ
cte-300	3	10	university	university	NOUN
cte-300	3	11	,	,	PUNCT
cte-300	3	12	87	87	NUM
cte-300	3	13	romenska	romenska	ADJ
cte-300	3	14	str	str	PROPN
cte-300	3	15	.	.	PUNCT
cte-300	3	16	,	,	PUNCT
cte-300	4	1	sumy	sumy	PROPN
cte-300	4	2	,	,	PUNCT
cte-300	4	3	40002	40002	NUM
cte-300	4	4	,	,	PUNCT
cte-300	4	5	ukraine	ukraine	PROPN
cte-300	4	6	2borys	2borys	NUM
cte-300	4	7	grinchenko	grinchenko	PROPN
cte-300	4	8	kyiv	kyiv	PROPN
cte-300	4	9	university	university	NOUN
cte-300	4	10	,	,	PUNCT
cte-300	4	11	18/2	18/2	NUM
cte-300	4	12	bulvarno	bulvarno	NOUN
cte-300	4	13	-	-	PUNCT
cte-300	4	14	kudriavska	kudriavska	NOUN
cte-300	4	15	str	str	PROPN
cte-300	4	16	.	.	PUNCT
cte-300	4	17	,	,	PUNCT
cte-300	4	18	kyiv	kyiv	PROPN
cte-300	4	19	,	,	PUNCT
cte-300	4	20	04053	04053	NUM
cte-300	4	21	,	,	PUNCT
cte-300	4	22	ukraine	ukraine	PROPN
cte-300	4	23	3luhansk	3luhansk	NUM
cte-300	4	24	taras	taras	PROPN
cte-300	4	25	shevchenko	shevchenko	PROPN
cte-300	4	26	national	national	PROPN
cte-300	4	27	university	university	PROPN
cte-300	4	28	,	,	PUNCT
cte-300	4	29	1	1	NUM
cte-300	4	30	gogol	gogol	PROPN
cte-300	4	31	sq	sq	PROPN
cte-300	4	32	.	.	PROPN
cte-300	4	33	,	,	PUNCT
cte-300	4	34	starobilsk	starobilsk	ADJ
cte-300	4	35	,	,	PUNCT
cte-300	4	36	92700	92700	NUM
cte-300	4	37	,	,	PUNCT
cte-300	4	38	ukraine	ukraine	PROPN
cte-300	4	39	abstract	abstract	NOUN
cte-300	4	40	.	.	PUNCT
cte-300	5	1	author	author	NOUN
cte-300	5	2	’s	’s	PART
cte-300	5	3	methodology	methodology	NOUN
cte-300	5	4	of	of	ADP
cte-300	5	5	forming	form	VERB
cte-300	5	6	modeling	modeling	NOUN
cte-300	5	7	skills	skill	NOUN
cte-300	5	8	involves	involve	VERB
cte-300	5	9	4	4	NUM
cte-300	5	10	steps	step	NOUN
cte-300	5	11	:	:	PUNCT
cte-300	5	12	step	step	NOUN
cte-300	5	13	1	1	NUM
cte-300	5	14	–	–	PUNCT
cte-300	5	15	the	the	DET
cte-300	5	16	teacher	teacher	NOUN
cte-300	5	17	step	step	NOUN
cte-300	5	18	by	by	ADP
cte-300	5	19	step	step	NOUN
cte-300	5	20	constructs	construct	VERB
cte-300	5	21	the	the	DET
cte-300	5	22	curve	curve	NOUN
cte-300	5	23	by	by	ADP
cte-300	5	24	means	mean	NOUN
cte-300	5	25	of	of	ADP
cte-300	5	26	cloud	cloud	NOUN
cte-300	5	27	based	base	VERB
cte-300	5	28	service	service	NOUN
cte-300	5	29	geogebra	geogebra	NOUN
cte-300	5	30	;	;	PUNCT
cte-300	5	31	step	step	NOUN
cte-300	5	32	2	2	NUM
cte-300	5	33	–	–	PUNCT
cte-300	5	34	the	the	DET
cte-300	5	35	teacher	teacher	NOUN
cte-300	5	36	offers	offer	VERB
cte-300	5	37	a	a	DET
cte-300	5	38	description	description	NOUN
cte-300	5	39	-	-	PUNCT
cte-300	5	40	definition	definition	NOUN
cte-300	5	41	of	of	ADP
cte-300	5	42	the	the	DET
cte-300	5	43	curve	curve	NOUN
cte-300	5	44	and	and	CCONJ
cte-300	5	45	provides	provide	VERB
cte-300	5	46	a	a	DET
cte-300	5	47	ready	ready	ADV
cte-300	5	48	-	-	PUNCT
cte-300	5	49	made	make	VERB
cte-300	5	50	algorithm	algorithm	NOUN
cte-300	5	51	by	by	ADP
cte-300	5	52	which	which	PRON
cte-300	5	53	students	student	NOUN
cte-300	5	54	model	model	VERB
cte-300	5	55	the	the	DET
cte-300	5	56	curve	curve	NOUN
cte-300	5	57	independently	independently	ADV
cte-300	5	58	in	in	ADP
cte-300	5	59	geogebra	geogebra	NOUN
cte-300	5	60	;	;	PUNCT
cte-300	5	61	step	step	NOUN
cte-300	5	62	3	3	NUM
cte-300	5	63	–	–	PUNCT
cte-300	5	64	the	the	DET
cte-300	5	65	teacher	teacher	NOUN
cte-300	5	66	offers	offer	VERB
cte-300	5	67	an	an	DET
cte-300	5	68	algorithm	algorithm	NOUN
cte-300	5	69	for	for	ADP
cte-300	5	70	constructing	construct	VERB
cte-300	5	71	a	a	DET
cte-300	5	72	curve	curve	NOUN
cte-300	5	73	model	model	NOUN
cte-300	5	74	,	,	PUNCT
cte-300	5	75	and	and	CCONJ
cte-300	5	76	students	student	NOUN
cte-300	5	77	need	need	VERB
cte-300	5	78	to	to	PART
cte-300	5	79	characterize	characterize	VERB
cte-300	5	80	the	the	DET
cte-300	5	81	properties	property	NOUN
cte-300	5	82	of	of	ADP
cte-300	5	83	the	the	DET
cte-300	5	84	curve	curve	NOUN
cte-300	5	85	or	or	CCONJ
cte-300	5	86	give	give	VERB
cte-300	5	87	its	its	PRON
cte-300	5	88	definition	definition	NOUN
cte-300	5	89	based	base	VERB
cte-300	5	90	on	on	ADP
cte-300	5	91	the	the	DET
cte-300	5	92	results	result	NOUN
cte-300	5	93	,	,	PUNCT
cte-300	5	94	step	step	NOUN
cte-300	5	95	4	4	NUM
cte-300	5	96	–	–	PUNCT
cte-300	5	97	students	student	NOUN
cte-300	5	98	are	be	AUX
cte-300	5	99	offered	offer	VERB
cte-300	5	100	definitions	definition	NOUN
cte-300	5	101	of	of	ADP
cte-300	5	102	curves	curve	NOUN
cte-300	5	103	that	that	SCONJ
cte-300	5	104	they	they	PRON
cte-300	5	105	have	have	VERB
cte-300	5	106	to	to	PART
cte-300	5	107	model	model	VERB
cte-300	5	108	in	in	ADP
cte-300	5	109	geogebra	geogebra	NOUN
cte-300	5	110	)	)	PUNCT
cte-300	5	111	.	.	PUNCT
cte-300	6	1	an	an	DET
cte-300	6	2	example	example	NOUN
cte-300	6	3	of	of	ADP
cte-300	6	4	realization	realization	NOUN
cte-300	6	5	of	of	ADP
cte-300	6	6	the	the	DET
cte-300	6	7	author	author	NOUN
cte-300	6	8	’s	’s	PART
cte-300	6	9	methodology	methodology	NOUN
cte-300	6	10	is	be	AUX
cte-300	6	11	given	give	VERB
cte-300	6	12	,	,	PUNCT
cte-300	6	13	the	the	DET
cte-300	6	14	pedagogical	pedagogical	ADJ
cte-300	6	15	experiment	experiment	NOUN
cte-300	6	16	on	on	ADP
cte-300	6	17	proof	proof	NOUN
cte-300	6	18	of	of	ADP
cte-300	6	19	its	its	PRON
cte-300	6	20	effectiveness	effectiveness	NOUN
cte-300	6	21	is	be	AUX
cte-300	6	22	described	describe	VERB
cte-300	6	23	.	.	PUNCT
cte-300	7	1	keywords	keyword	NOUN
cte-300	7	2	:	:	PUNCT
cte-300	7	3	modeling	modeling	NOUN
cte-300	7	4	skills	skill	NOUN
cte-300	7	5	,	,	PUNCT
cte-300	7	6	skills	skill	VERB
cte-300	7	7	development	development	NOUN
cte-300	7	8	methodology	methodology	NOUN
cte-300	7	9	,	,	PUNCT
cte-300	7	10	cloud	cloud	NOUN
cte-300	7	11	service	service	NOUN
cte-300	7	12	,	,	PUNCT
cte-300	7	13	geogebra	geogebra	NOUN
cte-300	7	14	cloud	cloud	NOUN
cte-300	7	15	service	service	PROPN
cte-300	7	16	,	,	PUNCT
cte-300	7	17	constructive	constructive	ADJ
cte-300	7	18	approach	approach	NOUN
cte-300	7	19	,	,	PUNCT
cte-300	7	20	modeling	modeling	NOUN
cte-300	7	21	,	,	PUNCT
cte-300	7	22	interesting	interesting	ADJ
cte-300	7	23	curves	curve	NOUN
cte-300	7	24	,	,	PUNCT
cte-300	7	25	professional	professional	ADJ
cte-300	7	26	training	training	NOUN
cte-300	7	27	1	1	NUM
cte-300	7	28	.	.	PUNCT
cte-300	8	1	introduction	introduction	NOUN
cte-300	8	2	modern	modern	ADJ
cte-300	8	3	science	science	NOUN
cte-300	8	4	operates	operate	VERB
cte-300	8	5	with	with	ADP
cte-300	8	6	various	various	ADJ
cte-300	8	7	methods	method	NOUN
cte-300	8	8	,	,	PUNCT
cte-300	8	9	among	among	ADP
cte-300	8	10	which	which	PRON
cte-300	8	11	modeling	modeling	NOUN
cte-300	8	12	is	be	AUX
cte-300	8	13	one	one	NUM
cte-300	8	14	of	of	ADP
cte-300	8	15	the	the	DET
cte-300	8	16	most	most	ADV
cte-300	8	17	popular	popular	ADJ
cte-300	8	18	.	.	PUNCT
cte-300	9	1	method	method	NOUN
cte-300	9	2	allows	allow	VERB
cte-300	9	3	you	you	PRON
cte-300	9	4	to	to	PART
cte-300	9	5	move	move	VERB
cte-300	9	6	away	away	ADV
cte-300	9	7	from	from	ADP
cte-300	9	8	the	the	DET
cte-300	9	9	object	object	NOUN
cte-300	9	10	’s	’s	PART
cte-300	9	11	ideal	ideal	ADJ
cte-300	9	12	representation	representation	NOUN
cte-300	9	13	and	and	CCONJ
cte-300	9	14	use	use	VERB
cte-300	9	15	its	its	PRON
cte-300	9	16	analogue	analogue	NOUN
cte-300	9	17	,	,	PUNCT
cte-300	9	18	which	which	PRON
cte-300	9	19	retains	retain	VERB
cte-300	9	20	the	the	DET
cte-300	9	21	most	most	ADV
cte-300	9	22	important	important	ADJ
cte-300	9	23	characteristics	characteristic	NOUN
cte-300	9	24	that	that	PRON
cte-300	9	25	allow	allow	VERB
cte-300	9	26	you	you	PRON
cte-300	9	27	to	to	PART
cte-300	9	28	talk	talk	VERB
cte-300	9	29	about	about	ADP
cte-300	9	30	the	the	DET
cte-300	9	31	object	object	NOUN
cte-300	9	32	properties	property	NOUN
cte-300	9	33	after	after	ADP
cte-300	9	34	certain	certain	ADJ
cte-300	9	35	changes	change	NOUN
cte-300	9	36	or	or	CCONJ
cte-300	9	37	influences	influence	NOUN
cte-300	9	38	on	on	ADP
cte-300	9	39	it	it	PRON
cte-300	9	40	.	.	PUNCT
cte-300	10	1	the	the	DET
cte-300	10	2	development	development	NOUN
cte-300	10	3	of	of	ADP
cte-300	10	4	computer	computer	NOUN
cte-300	10	5	technologies	technology	NOUN
cte-300	10	6	has	have	AUX
cte-300	10	7	contributed	contribute	VERB
cte-300	10	8	not	not	PART
cte-300	10	9	only	only	ADV
cte-300	10	10	to	to	ADP
cte-300	10	11	the	the	DET
cte-300	10	12	revival	revival	NOUN
cte-300	10	13	of	of	ADP
cte-300	10	14	the	the	DET
cte-300	10	15	modeling	modeling	NOUN
cte-300	10	16	method	method	NOUN
cte-300	10	17	,	,	PUNCT
cte-300	10	18	but	but	CCONJ
cte-300	10	19	also	also	ADV
cte-300	10	20	led	lead	VERB
cte-300	10	21	to	to	ADP
cte-300	10	22	the	the	DET
cte-300	10	23	emergence	emergence	NOUN
cte-300	10	24	of	of	ADP
cte-300	10	25	specialized	specialized	ADJ
cte-300	10	26	environments	environment	NOUN
cte-300	10	27	,	,	PUNCT
cte-300	10	28	where	where	SCONJ
cte-300	10	29	it	it	PRON
cte-300	10	30	became	become	VERB
cte-300	10	31	possible	possible	ADJ
cte-300	10	32	to	to	PART
cte-300	10	33	model	model	VERB
cte-300	10	34	various	various	ADJ
cte-300	10	35	objects	object	NOUN
cte-300	10	36	(	(	PUNCT
cte-300	10	37	processes	process	NOUN
cte-300	10	38	)	)	PUNCT
cte-300	10	39	based	base	VERB
cte-300	10	40	on	on	ADP
cte-300	10	41	a	a	DET
cte-300	10	42	constructive	constructive	ADJ
cte-300	10	43	approach	approach	NOUN
cte-300	10	44	.	.	PUNCT
cte-300	11	1	at	at	ADP
cte-300	11	2	the	the	DET
cte-300	11	3	same	same	ADJ
cte-300	11	4	time	time	NOUN
cte-300	11	5	,	,	PUNCT
cte-300	11	6	the	the	DET
cte-300	11	7	widespread	widespread	ADJ
cte-300	11	8	use	use	NOUN
cte-300	11	9	of	of	ADP
cte-300	11	10	smartphones	smartphone	NOUN
cte-300	11	11	and	and	CCONJ
cte-300	11	12	tablets	tablet	NOUN
cte-300	11	13	that	that	PRON
cte-300	11	14	have	have	VERB
cte-300	11	15	access	access	NOUN
cte-300	11	16	to	to	ADP
cte-300	11	17	the	the	DET
cte-300	11	18	internet	internet	NOUN
cte-300	11	19	has	have	AUX
cte-300	11	20	led	lead	VERB
cte-300	11	21	to	to	ADP
cte-300	11	22	the	the	DET
cte-300	11	23	emergence	emergence	NOUN
cte-300	11	24	of	of	ADP
cte-300	11	25	cloud	cloud	NOUN
cte-300	11	26	services	service	NOUN
cte-300	11	27	,	,	PUNCT
cte-300	11	28	which	which	PRON
cte-300	11	29	also	also	ADV
cte-300	11	30	allow	allow	VERB
cte-300	11	31	you	you	PRON
cte-300	11	32	to	to	PART
cte-300	11	33	model	model	VERB
cte-300	11	34	objects	object	NOUN
cte-300	11	35	of	of	ADP
cte-300	11	36	different	different	ADJ
cte-300	11	37	nature	nature	NOUN
cte-300	12	1	[	[	X
cte-300	12	2	24	24	NUM
cte-300	12	3	,	,	PUNCT
cte-300	12	4	33	33	NUM
cte-300	12	5	]	]	PUNCT
cte-300	12	6	.	.	PUNCT
cte-300	13	1	however	however	ADV
cte-300	13	2	,	,	PUNCT
cte-300	13	3	methods	method	NOUN
cte-300	13	4	of	of	ADP
cte-300	13	5	using	use	VERB
cte-300	13	6	cloud	cloud	NOUN
cte-300	13	7	services	service	NOUN
cte-300	13	8	to	to	PART
cte-300	13	9	develop	develop	VERB
cte-300	13	10	modeling	modeling	NOUN
cte-300	13	11	skills	skill	NOUN
cte-300	13	12	are	be	AUX
cte-300	13	13	just	just	ADV
cte-300	13	14	beginning	begin	VERB
cte-300	13	15	to	to	PART
cte-300	13	16	be	be	AUX
cte-300	13	17	developed	develop	VERB
cte-300	13	18	and	and	CCONJ
cte-300	13	19	implemented	implement	VERB
cte-300	13	20	,	,	PUNCT
cte-300	13	21	and	and	CCONJ
cte-300	13	22	therefore	therefore	ADV
cte-300	13	23	are	be	AUX
cte-300	13	24	not	not	PART
cte-300	13	25	well	well	ADV
cte-300	13	26	established	establish	VERB
cte-300	13	27	and	and	CCONJ
cte-300	13	28	need	need	VERB
cte-300	13	29	experimental	experimental	ADJ
cte-300	13	30	confirmation	confirmation	NOUN
cte-300	13	31	.	.	PUNCT
cte-300	14	1	the	the	DET
cte-300	14	2	importance	importance	NOUN
cte-300	14	3	of	of	ADP
cte-300	14	4	developing	develop	VERB
cte-300	14	5	constructive	constructive	ADJ
cte-300	14	6	skills	skill	NOUN
cte-300	14	7	of	of	ADP
cte-300	14	8	youth	youth	NOUN
cte-300	14	9	is	be	AUX
cte-300	14	10	emphasized	emphasize	VERB
cte-300	14	11	in	in	ADP
cte-300	14	12	the	the	DET
cte-300	14	13	findings	finding	NOUN
cte-300	14	14	of	of	ADP
cte-300	14	15	"	"	PUNCT
cte-300	14	16	marydru@fizmatsspu.sumy.ua	marydru@fizmatsspu.sumy.ua	PROPN
cte-300	14	17	(	(	PUNCT
cte-300	14	18	m.	m.	NOUN
cte-300	14	19	g.	g.	PROPN
cte-300	14	20	drushlyak	drushlyak	PROPN
cte-300	14	21	)	)	PUNCT
cte-300	14	22	;	;	PUNCT
cte-300	14	23	e.semenikhina@fizmatsspu.sumy.ua	e.semenikhina@fizmatsspu.sumy.ua	PROPN
cte-300	14	24	(	(	PUNCT
cte-300	14	25	o.	o.	PROPN
cte-300	14	26	v.	v.	ADP
cte-300	14	27	semenikhina	semenikhina	PROPN
cte-300	14	28	)	)	PUNCT
cte-300	14	29	;	;	PUNCT
cte-300	14	30	v.proshkin2017@gmail.com	v.proshkin2017@gmail.com	X
cte-300	14	31	(	(	PUNCT
cte-300	14	32	v.	v.	X
cte-300	14	33	v.	v.	CCONJ
cte-300	14	34	proshkin	proshkin	NOUN
cte-300	14	35	)	)	PUNCT
cte-300	14	36	;	;	PUNCT
cte-300	14	37	hk.sergey2014@ukr.net	hk.sergey2014@ukr.net	PROPN
cte-300	14	38	(	(	PUNCT
cte-300	14	39	s.	s.	PROPN
cte-300	14	40	ya	ya	PROPN
cte-300	14	41	.	.	PROPN
cte-300	14	42	kharchenko	kharchenko	PROPN
cte-300	14	43	)	)	PUNCT
cte-300	14	44	;	;	PUNCT
cte-300	14	45	tanya.lukashova2015@gmail.com	tanya.lukashova2015@gmail.com	NUM
cte-300	14	46	(	(	PUNCT
cte-300	14	47	t.	t.	PROPN
cte-300	14	48	d.	d.	PROPN
cte-300	14	49	lukashova	lukashova	PROPN
cte-300	14	50	)	)	PUNCT
cte-300	14	51	�	�	PROPN
cte-300	14	52	0000	0000	NUM
cte-300	14	53	-	-	PUNCT
cte-300	14	54	0002	0002	NUM
cte-300	14	55	-	-	PUNCT
cte-300	14	56	9648	9648	NUM
cte-300	14	57	-	-	PUNCT
cte-300	14	58	2248	2248	NUM
cte-300	14	59	(	(	PUNCT
cte-300	14	60	m.	m.	NOUN
cte-300	14	61	g.	g.	PROPN
cte-300	14	62	drushlyak	drushlyak	PROPN
cte-300	14	63	)	)	PUNCT
cte-300	14	64	;	;	PUNCT
cte-300	14	65	0000	0000	NUM
cte-300	14	66	-	-	PUNCT
cte-300	14	67	0002	0002	NUM
cte-300	14	68	-	-	PUNCT
cte-300	14	69	3896	3896	NUM
cte-300	14	70	-	-	PUNCT
cte-300	14	71	8151	8151	NUM
cte-300	14	72	(	(	PUNCT
cte-300	14	73	o.	o.	PROPN
cte-300	14	74	v.	v.	ADP
cte-300	14	75	semenikhina	semenikhina	PROPN
cte-300	14	76	)	)	PUNCT
cte-300	14	77	;	;	PUNCT
cte-300	14	78	000	000	NUM
cte-300	14	79	-	-	PUNCT
cte-300	14	80	0002	0002	NUM
cte-300	14	81	-	-	PUNCT
cte-300	14	82	9785	9785	NUM
cte-300	14	83	-	-	SYM
cte-300	14	84	0612	0612	NUM
cte-300	14	85	(	(	PUNCT
cte-300	14	86	v.	v.	X
cte-300	14	87	v.	v.	ADP
cte-300	14	88	proshkin	proshkin	NOUN
cte-300	14	89	)	)	PUNCT
cte-300	14	90	;	;	PUNCT
cte-300	14	91	0000	0000	NUM
cte-300	14	92	-	-	PUNCT
cte-300	14	93	0002	0002	NUM
cte-300	14	94	-	-	PUNCT
cte-300	14	95	0310	0310	NUM
cte-300	14	96	-	-	PUNCT
cte-300	14	97	6287	6287	NUM
cte-300	14	98	(	(	PUNCT
cte-300	14	99	s.	s.	PROPN
cte-300	14	100	ya	ya	PROPN
cte-300	14	101	.	.	PROPN
cte-300	14	102	kharchenko	kharchenko	PROPN
cte-300	14	103	)	)	PUNCT
cte-300	14	104	;	;	PUNCT
cte-300	14	105	0000	0000	NUM
cte-300	14	106	-	-	PUNCT
cte-300	14	107	0002	0002	NUM
cte-300	14	108	-	-	PUNCT
cte-300	14	109	1465	1465	NUM
cte-300	14	110	-	-	SYM
cte-300	14	111	9530	9530	NUM
cte-300	14	112	(	(	PUNCT
cte-300	14	113	t.	t.	PROPN
cte-300	14	114	d.	d.	PROPN
cte-300	14	115	lukashova	lukashova	PROPN
cte-300	14	116	)	)	PUNCT
cte-300	14	117	cte	cte	PROPN
cte-300	14	118	workshop	workshop	NOUN
cte-300	14	119	proceedings	proceeding	NOUN
cte-300	15	1	©	©	ADP
cte-300	15	2	copyright	copyright	NOUN
cte-300	15	3	for	for	ADP
cte-300	15	4	this	this	DET
cte-300	15	5	paper	paper	NOUN
cte-300	15	6	by	by	ADP
cte-300	15	7	its	its	PRON
cte-300	15	8	authors	author	NOUN
cte-300	15	9	,	,	PUNCT
cte-300	15	10	published	publish	VERB
cte-300	15	11	by	by	ADP
cte-300	15	12	academy	academy	NOUN
cte-300	15	13	of	of	ADP
cte-300	15	14	cognitive	cognitive	ADJ
cte-300	15	15	and	and	CCONJ
cte-300	15	16	natural	natural	ADJ
cte-300	15	17	sciences	science	NOUN
cte-300	15	18	(	(	PUNCT
cte-300	15	19	acns	acns	ADJ
cte-300	15	20	)	)	PUNCT
cte-300	15	21	.	.	PUNCT
cte-300	16	1	this	this	PRON
cte-300	16	2	is	be	AUX
cte-300	16	3	an	an	DET
cte-300	16	4	open	open	ADJ
cte-300	16	5	access	access	NOUN
cte-300	16	6	article	article	NOUN
cte-300	16	7	distributed	distribute	VERB
cte-300	16	8	under	under	ADP
cte-300	16	9	the	the	DET
cte-300	16	10	terms	term	NOUN
cte-300	16	11	of	of	ADP
cte-300	16	12	the	the	DET
cte-300	16	13	creative	creative	ADJ
cte-300	16	14	commons	common	NOUN
cte-300	16	15	license	license	NOUN
cte-300	16	16	attribution	attribution	NOUN
cte-300	16	17	4.0	4.0	NUM
cte-300	16	18	international	international	NOUN
cte-300	16	19	(	(	PUNCT
cte-300	16	20	cc	cc	NOUN
cte-300	16	21	by	by	ADP
cte-300	16	22	4.0	4.0	NUM
cte-300	16	23	)	)	PUNCT
cte-300	16	24	,	,	PUNCT
cte-300	16	25	which	which	PRON
cte-300	16	26	permits	permit	VERB
cte-300	16	27	unrestricted	unrestricted	ADJ
cte-300	16	28	use	use	NOUN
cte-300	16	29	,	,	PUNCT
cte-300	16	30	distribution	distribution	NOUN
cte-300	16	31	,	,	PUNCT
cte-300	16	32	and	and	CCONJ
cte-300	16	33	reproduction	reproduction	NOUN
cte-300	16	34	in	in	ADP
cte-300	16	35	any	any	DET
cte-300	16	36	medium	medium	NOUN
cte-300	16	37	,	,	PUNCT
cte-300	16	38	provided	provide	VERB
cte-300	16	39	the	the	DET
cte-300	16	40	original	original	ADJ
cte-300	16	41	work	work	NOUN
cte-300	16	42	is	be	AUX
cte-300	16	43	properly	properly	ADV
cte-300	16	44	cited	cite	VERB
cte-300	16	45	.	.	PUNCT
cte-300	17	1	458	458	NUM
cte-300	17	2	mailto:marydru@fizmatsspu.sumy.ua	mailto:marydru@fizmatsspu.sumy.ua	PROPN
cte-300	17	3	mailto:e.semenikhina@fizmatsspu.sumy.ua	mailto:e.semenikhina@fizmatsspu.sumy.ua	PROPN
cte-300	17	4	mailto:v.proshkin2017@gmail.com	mailto:v.proshkin2017@gmail.com	PROPN
cte-300	17	5	mailto:hk.sergey2014@ukr.net	mailto:hk.sergey2014@ukr.net	PROPN
cte-300	17	6	mailto:tanya.lukashova2015@gmail.com	mailto:tanya.lukashova2015@gmail.com	PROPN
cte-300	17	7	https://orcid.org/0000-0002-9648-2248	https://orcid.org/0000-0002-9648-2248	VERB
cte-300	17	8	https://orcid.org/0000-0002-3896-8151	https://orcid.org/0000-0002-3896-8151	PRON
cte-300	17	9	https://orcid.org/000-0002-9785-0612	https://orcid.org/000-0002-9785-0612	VERB
cte-300	17	10	https://orcid.org/0000-0002-0310-6287	https://orcid.org/0000-0002-0310-6287	ADJ
cte-300	17	11	https://orcid.org/0000-0002-1465-9530	https://orcid.org/0000-0002-1465-9530	NOUN
cte-300	17	12	https://acnsci.org/cte	https://acnsci.org/cte	VERB
cte-300	17	13	https://creativecommons.org/licenses/by/4.0	https://creativecommons.org/licenses/by/4.0	X
cte-300	17	14	https://acnsci.org	https://acnsci.org	PROPN
cte-300	17	15	cte	cte	NOUN
cte-300	17	16	workshop	workshop	NOUN
cte-300	17	17	proceedings	proceeding	NOUN
cte-300	17	18	,	,	PUNCT
cte-300	17	19	2021	2021	NUM
cte-300	17	20	,	,	PUNCT
cte-300	17	21	vol	vol	NOUN
cte-300	17	22	.	.	NOUN
cte-300	17	23	8	8	NUM
cte-300	17	24	:	:	PUNCT
cte-300	17	25	cte-2020	cte-2020	NOUN
cte-300	17	26	,	,	PUNCT
cte-300	17	27	pp	pp	ADP
cte-300	17	28	.	.	PUNCT
cte-300	18	1	458	458	NUM
cte-300	18	2	-	-	SYM
cte-300	18	3	472	472	NUM
cte-300	18	4	laksha	laksha	NOUN
cte-300	18	5	[	[	X
cte-300	18	6	21	21	NUM
cte-300	18	7	]	]	PUNCT
cte-300	18	8	,	,	PUNCT
cte-300	18	9	kononenko	kononenko	VERB
cte-300	18	10	[	[	X
cte-300	18	11	17	17	NUM
cte-300	18	12	]	]	PUNCT
cte-300	18	13	,	,	PUNCT
cte-300	18	14	ivanina	ivanina	VERB
cte-300	18	15	[	[	X
cte-300	18	16	12	12	NUM
cte-300	18	17	]	]	PUNCT
cte-300	18	18	,	,	PUNCT
cte-300	18	19	and	and	CCONJ
cte-300	18	20	the	the	DET
cte-300	18	21	formation	formation	NOUN
cte-300	18	22	of	of	ADP
cte-300	18	23	modeling	modeling	NOUN
cte-300	18	24	skills	skill	NOUN
cte-300	18	25	by	by	ADP
cte-300	18	26	individual	individual	ADJ
cte-300	18	27	scientists	scientist	NOUN
cte-300	18	28	is	be	AUX
cte-300	18	29	associated	associate	VERB
cte-300	18	30	with	with	ADP
cte-300	18	31	the	the	DET
cte-300	18	32	formation	formation	NOUN
cte-300	18	33	of	of	ADP
cte-300	18	34	research	research	NOUN
cte-300	18	35	skills	skill	NOUN
cte-300	18	36	[	[	X
cte-300	18	37	28	28	NUM
cte-300	18	38	]	]	PUNCT
cte-300	18	39	.	.	PUNCT
cte-300	19	1	analysis	analysis	NOUN
cte-300	19	2	of	of	ADP
cte-300	19	3	the	the	DET
cte-300	19	4	problem	problem	NOUN
cte-300	19	5	shows	show	VERB
cte-300	19	6	that	that	SCONJ
cte-300	19	7	with	with	ADP
cte-300	19	8	the	the	DET
cte-300	19	9	advent	advent	NOUN
cte-300	19	10	of	of	ADP
cte-300	19	11	specialized	specialized	ADJ
cte-300	19	12	mathematics	mathematics	PROPN
cte-300	19	13	software	software	NOUN
cte-300	19	14	,	,	PUNCT
cte-300	19	15	its	its	PRON
cte-300	19	16	solution	solution	NOUN
cte-300	19	17	has	have	AUX
cte-300	19	18	focused	focus	VERB
cte-300	19	19	not	not	PART
cte-300	19	20	so	so	ADV
cte-300	19	21	much	much	ADV
cte-300	19	22	on	on	ADP
cte-300	19	23	understanding	understand	VERB
cte-300	19	24	the	the	DET
cte-300	19	25	algorithms	algorithm	NOUN
cte-300	19	26	of	of	ADP
cte-300	19	27	elementary	elementary	ADJ
cte-300	19	28	constructions	construction	NOUN
cte-300	19	29	,	,	PUNCT
cte-300	19	30	but	but	CCONJ
cte-300	19	31	on	on	ADP
cte-300	19	32	the	the	DET
cte-300	19	33	ability	ability	NOUN
cte-300	19	34	to	to	PART
cte-300	19	35	use	use	VERB
cte-300	19	36	computer	computer	NOUN
cte-300	19	37	tools	tool	NOUN
cte-300	19	38	and	and	CCONJ
cte-300	19	39	the	the	DET
cte-300	19	40	ability	ability	NOUN
cte-300	19	41	to	to	PART
cte-300	19	42	visualize	visualize	VERB
cte-300	19	43	the	the	DET
cte-300	19	44	result	result	NOUN
cte-300	19	45	.	.	PUNCT
cte-300	20	1	the	the	DET
cte-300	20	2	latter	latter	ADJ
cte-300	20	3	,	,	PUNCT
cte-300	20	4	in	in	ADP
cte-300	20	5	particular	particular	ADJ
cte-300	20	6	,	,	PUNCT
cte-300	20	7	is	be	AUX
cte-300	20	8	emphasized	emphasize	VERB
cte-300	20	9	in	in	ADP
cte-300	20	10	the	the	DET
cte-300	20	11	finding	finding	NOUN
cte-300	20	12	of	of	ADP
cte-300	20	13	bilousova	bilousova	NOUN
cte-300	20	14	and	and	CCONJ
cte-300	20	15	zhytyenyova	zhytyenyova	PRON
cte-300	21	1	[	[	X
cte-300	21	2	2	2	NUM
cte-300	21	3	]	]	PUNCT
cte-300	21	4	.	.	PUNCT
cte-300	22	1	regarding	regard	VERB
cte-300	22	2	the	the	DET
cte-300	22	3	first	first	ADJ
cte-300	22	4	(	(	PUNCT
cte-300	22	5	the	the	DET
cte-300	22	6	ability	ability	NOUN
cte-300	22	7	to	to	PART
cte-300	22	8	use	use	VERB
cte-300	22	9	tools	tool	NOUN
cte-300	22	10	)	)	PUNCT
cte-300	22	11	it	it	PRON
cte-300	22	12	should	should	AUX
cte-300	22	13	be	be	AUX
cte-300	22	14	noted	note	VERB
cte-300	22	15	the	the	DET
cte-300	22	16	emergence	emergence	NOUN
cte-300	22	17	of	of	ADP
cte-300	22	18	cloud	cloud	NOUN
cte-300	22	19	services	service	NOUN
cte-300	22	20	,	,	PUNCT
cte-300	22	21	including	include	VERB
cte-300	22	22	specialized	specialized	ADJ
cte-300	22	23	services	service	NOUN
cte-300	22	24	.	.	PUNCT
cte-300	23	1	analysis	analysis	NOUN
cte-300	23	2	of	of	ADP
cte-300	23	3	the	the	DET
cte-300	23	4	latter	latter	ADJ
cte-300	23	5	showed	show	VERB
cte-300	23	6	the	the	DET
cte-300	23	7	following	following	NOUN
cte-300	23	8	.	.	PUNCT
cte-300	24	1	different	different	ADJ
cte-300	24	2	aspects	aspect	NOUN
cte-300	24	3	of	of	ADP
cte-300	24	4	educational	educational	ADJ
cte-300	24	5	using	using	NOUN
cte-300	24	6	of	of	ADP
cte-300	24	7	cloud	cloud	NOUN
cte-300	24	8	technologies	technology	NOUN
cte-300	24	9	and	and	CCONJ
cte-300	24	10	services	service	NOUN
cte-300	24	11	are	be	AUX
cte-300	24	12	examined	examine	VERB
cte-300	24	13	in	in	ADP
cte-300	24	14	the	the	DET
cte-300	24	15	studies	study	NOUN
cte-300	24	16	of	of	ADP
cte-300	24	17	national	national	ADJ
cte-300	24	18	and	and	CCONJ
cte-300	24	19	foreign	foreign	ADJ
cte-300	24	20	researchers	researcher	NOUN
cte-300	24	21	.	.	PUNCT
cte-300	25	1	for	for	ADP
cte-300	25	2	example	example	NOUN
cte-300	25	3	,	,	PUNCT
cte-300	25	4	alkhansa	alkhansa	VERB
cte-300	25	5	et	et	PROPN
cte-300	25	6	al	al	PROPN
cte-300	25	7	.	.	PUNCT
cte-300	26	1	[	[	X
cte-300	26	2	1	1	NUM
cte-300	26	3	]	]	PUNCT
cte-300	26	4	explore	explore	NOUN
cte-300	26	5	advantages	advantage	NOUN
cte-300	26	6	of	of	ADP
cte-300	26	7	using	use	VERB
cte-300	26	8	cloud	cloud	NOUN
cte-300	26	9	technologies	technology	NOUN
cte-300	26	10	in	in	ADP
cte-300	26	11	research	research	NOUN
cte-300	26	12	,	,	PUNCT
cte-300	26	13	such	such	ADJ
cte-300	26	14	as	as	ADP
cte-300	26	15	availability	availability	NOUN
cte-300	26	16	of	of	ADP
cte-300	26	17	various	various	ADJ
cte-300	26	18	tools	tool	NOUN
cte-300	26	19	and	and	CCONJ
cte-300	26	20	applications	application	NOUN
cte-300	26	21	for	for	ADP
cte-300	26	22	analyses	analysis	NOUN
cte-300	26	23	and	and	CCONJ
cte-300	26	24	collecting	collect	VERB
cte-300	26	25	data	datum	NOUN
cte-300	26	26	,	,	PUNCT
cte-300	26	27	for	for	ADP
cte-300	26	28	managing	manage	VERB
cte-300	26	29	and	and	CCONJ
cte-300	26	30	organizing	organizing	NOUN
cte-300	26	31	references	reference	NOUN
cte-300	26	32	,	,	PUNCT
cte-300	26	33	for	for	ADP
cte-300	26	34	communication	communication	NOUN
cte-300	26	35	with	with	ADP
cte-300	26	36	peers	peer	NOUN
cte-300	26	37	and	and	CCONJ
cte-300	26	38	experts	expert	NOUN
cte-300	26	39	,	,	PUNCT
cte-300	26	40	the	the	DET
cte-300	26	41	absence	absence	NOUN
cte-300	26	42	of	of	ADP
cte-300	26	43	constraints	constraint	NOUN
cte-300	26	44	,	,	PUNCT
cte-300	26	45	the	the	DET
cte-300	26	46	access	access	NOUN
cte-300	26	47	to	to	ADP
cte-300	26	48	cloud	cloud	ADJ
cte-300	26	49	resources	resource	NOUN
cte-300	26	50	from	from	ADP
cte-300	26	51	anywhere	anywhere	ADV
cte-300	26	52	any	any	DET
cte-300	26	53	time	time	NOUN
cte-300	26	54	that	that	PRON
cte-300	26	55	has	have	VERB
cte-300	26	56	an	an	DET
cte-300	26	57	active	active	ADJ
cte-300	26	58	internet	internet	NOUN
cte-300	26	59	connection	connection	NOUN
cte-300	26	60	,	,	PUNCT
cte-300	26	61	etc	etc	X
cte-300	26	62	.	.	X
cte-300	27	1	they	they	PRON
cte-300	27	2	offer	offer	VERB
cte-300	27	3	the	the	DET
cte-300	27	4	approach	approach	NOUN
cte-300	27	5	to	to	ADP
cte-300	27	6	applying	apply	VERB
cte-300	27	7	of	of	ADP
cte-300	27	8	cloud	cloud	NOUN
cte-300	27	9	services	service	NOUN
cte-300	27	10	for	for	ADP
cte-300	27	11	enhancing	enhance	VERB
cte-300	27	12	the	the	DET
cte-300	27	13	productivity	productivity	NOUN
cte-300	27	14	of	of	ADP
cte-300	27	15	university	university	NOUN
cte-300	27	16	research	research	NOUN
cte-300	27	17	activities	activity	NOUN
cte-300	27	18	,	,	PUNCT
cte-300	27	19	increasing	increase	VERB
cte-300	27	20	competitiveness	competitiveness	NOUN
cte-300	27	21	and	and	CCONJ
cte-300	27	22	flexibility	flexibility	NOUN
cte-300	27	23	of	of	ADP
cte-300	27	24	educational	educational	ADJ
cte-300	27	25	institutions	institution	NOUN
cte-300	27	26	.	.	PUNCT
cte-300	28	1	smith	smith	PROPN
cte-300	28	2	,	,	PUNCT
cte-300	28	3	bhogal	bhogal	ADJ
cte-300	28	4	and	and	CCONJ
cte-300	28	5	sharma	sharma	PROPN
cte-300	28	6	[	[	X
cte-300	28	7	36	36	NUM
cte-300	28	8	]	]	PUNCT
cte-300	28	9	core	core	ADJ
cte-300	28	10	focus	focus	NOUN
cte-300	28	11	addresses	address	NOUN
cte-300	28	12	education	education	NOUN
cte-300	28	13	as	as	ADP
cte-300	28	14	an	an	DET
cte-300	28	15	area	area	NOUN
cte-300	28	16	of	of	ADP
cte-300	28	17	cloud	cloud	ADJ
cte-300	28	18	application	application	NOUN
cte-300	28	19	with	with	ADP
cte-300	28	20	a	a	DET
cte-300	28	21	cloud	cloud	NOUN
cte-300	28	22	based	base	VERB
cte-300	28	23	e	e	VERB
cte-300	28	24	-	-	ADJ
cte-300	28	25	learning	learning	ADJ
cte-300	28	26	system	system	NOUN
cte-300	28	27	developed	develop	VERB
cte-300	28	28	to	to	PART
cte-300	28	29	demonstrate	demonstrate	VERB
cte-300	28	30	the	the	DET
cte-300	28	31	capabilities	capability	NOUN
cte-300	28	32	and	and	CCONJ
cte-300	28	33	effectiveness	effectiveness	NOUN
cte-300	28	34	of	of	ADP
cte-300	28	35	cloud	cloud	ADJ
cte-300	28	36	technology	technology	NOUN
cte-300	28	37	.	.	PUNCT
cte-300	29	1	shyshkina	shyshkina	PROPN
cte-300	29	2	and	and	CCONJ
cte-300	29	3	popel	popel	NOUN
cte-300	29	4	[	[	X
cte-300	29	5	35	35	NUM
cte-300	29	6	]	]	PUNCT
cte-300	29	7	explore	explore	VERB
cte-300	29	8	the	the	DET
cte-300	29	9	problems	problem	NOUN
cte-300	29	10	of	of	ADP
cte-300	29	11	implementation	implementation	NOUN
cte-300	29	12	of	of	ADP
cte-300	29	13	cloud	cloud	ADJ
cte-300	29	14	technology	technology	NOUN
cte-300	29	15	tools	tool	NOUN
cte-300	29	16	and	and	CCONJ
cte-300	29	17	services	service	NOUN
cte-300	29	18	in	in	ADP
cte-300	29	19	the	the	DET
cte-300	29	20	educational	educational	ADJ
cte-300	29	21	process	process	NOUN
cte-300	29	22	,	,	PUNCT
cte-300	29	23	describe	describe	VERB
cte-300	29	24	the	the	DET
cte-300	29	25	current	current	ADJ
cte-300	29	26	state	state	NOUN
cte-300	29	27	of	of	ADP
cte-300	29	28	development	development	NOUN
cte-300	29	29	and	and	CCONJ
cte-300	29	30	use	use	NOUN
cte-300	29	31	of	of	ADP
cte-300	29	32	cloud	cloud	NOUN
cte-300	29	33	technology	technology	NOUN
cte-300	29	34	services	service	NOUN
cte-300	29	35	in	in	ADP
cte-300	29	36	educational	educational	ADJ
cte-300	29	37	institutions	institution	NOUN
cte-300	29	38	and	and	CCONJ
cte-300	29	39	analyze	analyze	VERB
cte-300	29	40	the	the	DET
cte-300	29	41	content	content	NOUN
cte-300	29	42	of	of	ADP
cte-300	29	43	educational	educational	ADJ
cte-300	29	44	and	and	CCONJ
cte-300	29	45	scientific	scientific	ADJ
cte-300	29	46	components	component	NOUN
cte-300	29	47	of	of	ADP
cte-300	29	48	cloud	cloud	NOUN
cte-300	29	49	-	-	PUNCT
cte-300	29	50	based	base	VERB
cte-300	29	51	educational	educational	ADJ
cte-300	29	52	environment	environment	NOUN
cte-300	29	53	.	.	PUNCT
cte-300	30	1	scientific	scientific	ADJ
cte-300	30	2	research	research	NOUN
cte-300	30	3	on	on	ADP
cte-300	30	4	the	the	DET
cte-300	30	5	involvement	involvement	NOUN
cte-300	30	6	of	of	ADP
cte-300	30	7	cloud	cloud	NOUN
cte-300	30	8	services	service	NOUN
cte-300	30	9	for	for	ADP
cte-300	30	10	the	the	DET
cte-300	30	11	formation	formation	NOUN
cte-300	30	12	of	of	ADP
cte-300	30	13	various	various	ADJ
cte-300	30	14	skills	skill	NOUN
cte-300	30	15	in	in	ADP
cte-300	30	16	specialists	specialist	NOUN
cte-300	30	17	in	in	ADP
cte-300	30	18	various	various	ADJ
cte-300	30	19	fields	field	NOUN
cte-300	30	20	of	of	ADP
cte-300	30	21	knowledge	knowledge	NOUN
cte-300	30	22	is	be	AUX
cte-300	30	23	spreading	spread	VERB
cte-300	30	24	[	[	X
cte-300	30	25	4	4	NUM
cte-300	30	26	,	,	PUNCT
cte-300	30	27	13–16	13–16	NUM
cte-300	30	28	,	,	PUNCT
cte-300	30	29	18	18	NUM
cte-300	30	30	,	,	PUNCT
cte-300	30	31	25–27	25–27	NUM
cte-300	30	32	,	,	PUNCT
cte-300	30	33	30	30	NUM
cte-300	30	34	,	,	PUNCT
cte-300	30	35	38	38	NUM
cte-300	30	36	,	,	PUNCT
cte-300	30	37	39	39	NUM
cte-300	30	38	,	,	PUNCT
cte-300	30	39	41	41	NUM
cte-300	30	40	]	]	PUNCT
cte-300	30	41	.	.	PUNCT
cte-300	31	1	currently	currently	ADV
cte-300	31	2	,	,	PUNCT
cte-300	31	3	cloud	cloud	ADJ
cte-300	31	4	versions	version	NOUN
cte-300	31	5	of	of	ADP
cte-300	31	6	known	known	ADJ
cte-300	31	7	environments	environment	NOUN
cte-300	31	8	with	with	ADP
cte-300	31	9	mathematical	mathematical	ADJ
cte-300	31	10	modeling	modeling	NOUN
cte-300	31	11	capabilities	capability	NOUN
cte-300	31	12	are	be	AUX
cte-300	31	13	available	available	ADJ
cte-300	31	14	,	,	PUNCT
cte-300	31	15	including	include	VERB
cte-300	31	16	maple	maple	NOUN
cte-300	31	17	,	,	PUNCT
cte-300	31	18	matlab	matlab	PROPN
cte-300	31	19	,	,	PUNCT
cte-300	31	20	webmathematica	webmathematica	NOUN
cte-300	31	21	,	,	PUNCT
cte-300	31	22	calculation	calculation	NOUN
cte-300	31	23	laboratory	laboratory	NOUN
cte-300	31	24	,	,	PUNCT
cte-300	31	25	etc	etc	X
cte-300	31	26	.	.	X
cte-300	32	1	[	[	X
cte-300	32	2	34	34	NUM
cte-300	32	3	]	]	PUNCT
cte-300	32	4	.	.	PUNCT
cte-300	33	1	we	we	PRON
cte-300	33	2	will	will	AUX
cte-300	33	3	also	also	ADV
cte-300	33	4	add	add	VERB
cte-300	33	5	cocalc	cocalc	NOUN
cte-300	33	6	[	[	PUNCT
cte-300	33	7	3	3	NUM
cte-300	33	8	,	,	PUNCT
cte-300	33	9	23	23	NUM
cte-300	33	10	,	,	PUNCT
cte-300	33	11	29	29	NUM
cte-300	33	12	,	,	PUNCT
cte-300	33	13	40	40	NUM
cte-300	33	14	]	]	PUNCT
cte-300	33	15	and	and	CCONJ
cte-300	33	16	geogebra	geogebra	NOUN
cte-300	33	17	[	[	X
cte-300	33	18	5	5	NUM
cte-300	33	19	,	,	PUNCT
cte-300	33	20	9	9	NUM
cte-300	33	21	,	,	PUNCT
cte-300	33	22	11	11	NUM
cte-300	33	23	,	,	PUNCT
cte-300	33	24	19	19	NUM
cte-300	33	25	,	,	PUNCT
cte-300	33	26	20	20	NUM
cte-300	33	27	,	,	PUNCT
cte-300	33	28	31	31	NUM
cte-300	33	29	,	,	PUNCT
cte-300	33	30	32	32	NUM
cte-300	33	31	]	]	PUNCT
cte-300	33	32	cloud	cloud	NOUN
cte-300	33	33	services	service	NOUN
cte-300	33	34	to	to	ADP
cte-300	33	35	this	this	DET
cte-300	33	36	list	list	NOUN
cte-300	33	37	.	.	PUNCT
cte-300	34	1	experience	experience	NOUN
cte-300	34	2	in	in	ADP
cte-300	34	3	using	use	VERB
cte-300	34	4	geogebra	geogebra	NOUN
cte-300	34	5	cloud	cloud	NOUN
cte-300	34	6	service	service	NOUN
cte-300	34	7	(	(	PUNCT
cte-300	34	8	visualization	visualization	NOUN
cte-300	34	9	of	of	ADP
cte-300	34	10	mathematical	mathematical	ADJ
cte-300	34	11	objects	object	NOUN
cte-300	34	12	;	;	PUNCT
cte-300	34	13	organization	organization	NOUN
cte-300	34	14	of	of	ADP
cte-300	34	15	not	not	PART
cte-300	34	16	only	only	ADV
cte-300	34	17	analytical	analytical	ADJ
cte-300	34	18	but	but	CCONJ
cte-300	34	19	also	also	ADV
cte-300	34	20	empirical	empirical	ADJ
cte-300	34	21	search	search	NOUN
cte-300	34	22	for	for	ADP
cte-300	34	23	answers	answer	NOUN
cte-300	34	24	in	in	ADP
cte-300	34	25	determining	determine	VERB
cte-300	34	26	individual	individual	ADJ
cte-300	34	27	characteristics	characteristic	NOUN
cte-300	34	28	of	of	ADP
cte-300	34	29	mathematical	mathematical	ADJ
cte-300	34	30	objects	object	NOUN
cte-300	34	31	;	;	PUNCT
cte-300	34	32	organization	organization	NOUN
cte-300	34	33	of	of	ADP
cte-300	34	34	home	home	NOUN
cte-300	34	35	computer	computer	NOUN
cte-300	34	36	experiment	experiment	NOUN
cte-300	34	37	)	)	PUNCT
cte-300	34	38	allowed	allow	VERB
cte-300	34	39	to	to	PART
cte-300	34	40	consider	consider	VERB
cte-300	34	41	geogebra	geogebra	NOUN
cte-300	34	42	as	as	ADP
cte-300	34	43	means	mean	NOUN
cte-300	34	44	for	for	ADP
cte-300	34	45	formation	formation	NOUN
cte-300	34	46	of	of	ADP
cte-300	34	47	skills	skill	NOUN
cte-300	34	48	to	to	ADP
cte-300	34	49	model	model	NOUN
cte-300	34	50	based	base	VERB
cte-300	34	51	on	on	ADP
cte-300	34	52	constructive	constructive	ADJ
cte-300	34	53	approach	approach	NOUN
cte-300	34	54	.	.	PUNCT
cte-300	35	1	however	however	ADV
cte-300	35	2	,	,	PUNCT
cte-300	35	3	the	the	DET
cte-300	35	4	analysis	analysis	NOUN
cte-300	35	5	of	of	ADP
cte-300	35	6	scientific	scientific	ADJ
cte-300	35	7	findings	finding	NOUN
cte-300	35	8	confirmed	confirm	VERB
cte-300	35	9	the	the	DET
cte-300	35	10	lack	lack	NOUN
cte-300	35	11	of	of	ADP
cte-300	35	12	established	establish	VERB
cte-300	35	13	methods	method	NOUN
cte-300	35	14	for	for	ADP
cte-300	35	15	its	its	PRON
cte-300	35	16	use	use	NOUN
cte-300	35	17	,	,	PUNCT
cte-300	35	18	and	and	CCONJ
cte-300	35	19	therefore	therefore	ADV
cte-300	35	20	the	the	DET
cte-300	35	21	method	method	NOUN
cte-300	35	22	of	of	ADP
cte-300	35	23	formation	formation	NOUN
cte-300	35	24	of	of	ADP
cte-300	35	25	skills	skill	NOUN
cte-300	35	26	to	to	AUX
cte-300	35	27	model	model	VERB
cte-300	35	28	interesting	interesting	ADJ
cte-300	35	29	curves	curve	NOUN
cte-300	35	30	by	by	ADP
cte-300	35	31	geogebra	geogebra	NOUN
cte-300	35	32	cloud	cloud	NOUN
cte-300	35	33	service	service	NOUN
cte-300	35	34	based	base	VERB
cte-300	35	35	on	on	ADP
cte-300	35	36	a	a	DET
cte-300	35	37	constructive	constructive	ADJ
cte-300	35	38	approach	approach	NOUN
cte-300	35	39	required	require	VERB
cte-300	35	40	testing	testing	NOUN
cte-300	35	41	and	and	CCONJ
cte-300	35	42	experimental	experimental	ADJ
cte-300	35	43	confirmation	confirmation	NOUN
cte-300	35	44	of	of	ADP
cte-300	35	45	its	its	PRON
cte-300	35	46	effectiveness	effectiveness	NOUN
cte-300	35	47	.	.	PUNCT
cte-300	36	1	the	the	DET
cte-300	36	2	purpose	purpose	NOUN
cte-300	36	3	of	of	ADP
cte-300	36	4	the	the	DET
cte-300	36	5	paper	paper	NOUN
cte-300	36	6	is	be	AUX
cte-300	36	7	to	to	PART
cte-300	36	8	describe	describe	VERB
cte-300	36	9	the	the	DET
cte-300	36	10	method	method	NOUN
cte-300	36	11	of	of	ADP
cte-300	36	12	forming	form	VERB
cte-300	36	13	the	the	DET
cte-300	36	14	skills	skill	NOUN
cte-300	36	15	to	to	AUX
cte-300	36	16	model	model	VERB
cte-300	36	17	interesting	interesting	ADJ
cte-300	36	18	curves	curve	NOUN
cte-300	36	19	through	through	ADP
cte-300	36	20	geogebra	geogebra	NOUN
cte-300	36	21	cloud	cloud	NOUN
cte-300	36	22	service	service	NOUN
cte-300	36	23	based	base	VERB
cte-300	36	24	on	on	ADP
cte-300	36	25	a	a	DET
cte-300	36	26	constructive	constructive	ADJ
cte-300	36	27	approach	approach	NOUN
cte-300	36	28	and	and	CCONJ
cte-300	36	29	to	to	PART
cte-300	36	30	confirm	confirm	VERB
cte-300	36	31	its	its	PRON
cte-300	36	32	effectiveness	effectiveness	NOUN
cte-300	36	33	.	.	PUNCT
cte-300	37	1	459	459	NUM
cte-300	37	2	cte	cte	NOUN
cte-300	37	3	workshop	workshop	NOUN
cte-300	37	4	proceedings	proceeding	NOUN
cte-300	37	5	,	,	PUNCT
cte-300	37	6	2021	2021	NUM
cte-300	37	7	,	,	PUNCT
cte-300	37	8	vol	vol	NOUN
cte-300	37	9	.	.	NOUN
cte-300	37	10	8	8	NUM
cte-300	37	11	:	:	PUNCT
cte-300	37	12	cte-2020	cte-2020	NOUN
cte-300	37	13	,	,	PUNCT
cte-300	37	14	pp	pp	ADP
cte-300	37	15	.	.	PUNCT
cte-300	38	1	458	458	NUM
cte-300	38	2	-	-	SYM
cte-300	38	3	472	472	NUM
cte-300	38	4	2	2	NUM
cte-300	38	5	.	.	PUNCT
cte-300	38	6	material	material	NOUN
cte-300	38	7	and	and	CCONJ
cte-300	38	8	methods	method	NOUN
cte-300	38	9	to	to	PART
cte-300	38	10	test	test	VERB
cte-300	38	11	the	the	DET
cte-300	38	12	effectiveness	effectiveness	NOUN
cte-300	38	13	of	of	ADP
cte-300	38	14	the	the	DET
cte-300	38	15	methodology	methodology	NOUN
cte-300	38	16	of	of	ADP
cte-300	38	17	forming	form	VERB
cte-300	38	18	modeling	modeling	NOUN
cte-300	38	19	skills	skill	NOUN
cte-300	38	20	,	,	PUNCT
cte-300	38	21	a	a	DET
cte-300	38	22	pedagogical	pedagogical	ADJ
cte-300	38	23	experiment	experiment	NOUN
cte-300	38	24	,	,	PUNCT
cte-300	38	25	which	which	PRON
cte-300	38	26	lasted	last	VERB
cte-300	38	27	3	3	NUM
cte-300	38	28	years	year	NOUN
cte-300	38	29	(	(	PUNCT
cte-300	38	30	2018–2020	2018–2020	NUM
cte-300	38	31	)	)	PUNCT
cte-300	38	32	was	be	AUX
cte-300	38	33	conducted	conduct	VERB
cte-300	38	34	among	among	ADP
cte-300	38	35	pre	pre	ADJ
cte-300	38	36	-	-	ADJ
cte-300	38	37	service	service	ADJ
cte-300	38	38	mathematics	mathematic	NOUN
cte-300	38	39	and	and	CCONJ
cte-300	38	40	computer	computer	NOUN
cte-300	38	41	science	science	NOUN
cte-300	38	42	teachers	teacher	NOUN
cte-300	38	43	.	.	PUNCT
cte-300	39	1	makarenko	makarenko	PROPN
cte-300	39	2	sumy	sumy	PROPN
cte-300	39	3	state	state	PROPN
cte-300	39	4	pedagogical	pedagogical	PROPN
cte-300	39	5	university	university	NOUN
cte-300	39	6	,	,	PUNCT
cte-300	39	7	borys	borys	PROPN
cte-300	39	8	grinchenko	grinchenko	PROPN
cte-300	39	9	kyiv	kyiv	PROPN
cte-300	39	10	university	university	PROPN
cte-300	39	11	were	be	AUX
cte-300	39	12	the	the	DET
cte-300	39	13	experimental	experimental	ADJ
cte-300	39	14	base	base	NOUN
cte-300	39	15	.	.	PUNCT
cte-300	40	1	the	the	DET
cte-300	40	2	total	total	ADJ
cte-300	40	3	number	number	NOUN
cte-300	40	4	of	of	ADP
cte-300	40	5	respondents	respondent	NOUN
cte-300	40	6	was	be	AUX
cte-300	40	7	86	86	NUM
cte-300	40	8	people	people	NOUN
cte-300	40	9	(	(	PUNCT
cte-300	40	10	pre	pre	ADJ
cte-300	40	11	-	-	ADJ
cte-300	40	12	service	service	ADJ
cte-300	40	13	mathematics	mathematic	NOUN
cte-300	40	14	and	and	CCONJ
cte-300	40	15	computer	computer	NOUN
cte-300	40	16	science	science	NOUN
cte-300	40	17	teachers	teacher	NOUN
cte-300	40	18	)	)	PUNCT
cte-300	40	19	.	.	PUNCT
cte-300	41	1	the	the	DET
cte-300	41	2	author	author	NOUN
cte-300	41	3	’s	’s	PART
cte-300	41	4	methodology	methodology	NOUN
cte-300	41	5	was	be	AUX
cte-300	41	6	implemented	implement	VERB
cte-300	41	7	using	use	VERB
cte-300	41	8	the	the	DET
cte-300	41	9	freely	freely	ADV
cte-300	41	10	distributed	distribute	VERB
cte-300	41	11	geogebra	geogebra	NOUN
cte-300	41	12	cloud	cloud	NOUN
cte-300	41	13	service	service	NOUN
cte-300	41	14	(	(	PUNCT
cte-300	41	15	https://www.geogebra.org	https://www.geogebra.org	X
cte-300	41	16	)	)	PUNCT
cte-300	41	17	in	in	ADP
cte-300	41	18	the	the	DET
cte-300	41	19	special	special	ADJ
cte-300	41	20	courses	course	NOUN
cte-300	41	21	.	.	PUNCT
cte-300	42	1	the	the	DET
cte-300	42	2	experimental	experimental	ADJ
cte-300	42	3	module	module	NOUN
cte-300	42	4	“	"	PUNCT
cte-300	42	5	modeling	modeling	NOUN
cte-300	42	6	of	of	ADP
cte-300	42	7	interesting	interesting	ADJ
cte-300	42	8	curves	curve	NOUN
cte-300	42	9	”	"	PUNCT
cte-300	42	10	with	with	ADP
cte-300	42	11	a	a	DET
cte-300	42	12	volume	volume	NOUN
cte-300	42	13	of	of	ADP
cte-300	42	14	10	10	NUM
cte-300	42	15	classroom	classroom	NOUN
cte-300	42	16	hours	hour	NOUN
cte-300	42	17	(	(	PUNCT
cte-300	42	18	2	2	NUM
cte-300	42	19	hours	hour	NOUN
cte-300	42	20	of	of	ADP
cte-300	42	21	lectures	lecture	NOUN
cte-300	42	22	and	and	CCONJ
cte-300	42	23	8	8	NUM
cte-300	42	24	hours	hour	NOUN
cte-300	42	25	of	of	ADP
cte-300	42	26	laboratory	laboratory	NOUN
cte-300	42	27	classes	class	NOUN
cte-300	42	28	)	)	PUNCT
cte-300	42	29	was	be	AUX
cte-300	42	30	introduced	introduce	VERB
cte-300	42	31	.	.	PUNCT
cte-300	43	1	two	two	NUM
cte-300	43	2	tests	test	NOUN
cte-300	43	3	of	of	ADP
cte-300	43	4	educational	educational	ADJ
cte-300	43	5	achievements	achievement	NOUN
cte-300	43	6	(	(	PUNCT
cte-300	43	7	at	at	ADP
cte-300	43	8	the	the	DET
cte-300	43	9	beginning	beginning	NOUN
cte-300	43	10	and	and	CCONJ
cte-300	43	11	after	after	ADP
cte-300	43	12	studying	study	VERB
cte-300	43	13	the	the	DET
cte-300	43	14	module	module	NOUN
cte-300	43	15	)	)	PUNCT
cte-300	43	16	were	be	AUX
cte-300	43	17	organized	organize	VERB
cte-300	43	18	to	to	PART
cte-300	43	19	confirm	confirm	VERB
cte-300	43	20	the	the	DET
cte-300	43	21	effectiveness	effectiveness	NOUN
cte-300	43	22	of	of	ADP
cte-300	43	23	the	the	DET
cte-300	43	24	methodology	methodology	NOUN
cte-300	43	25	.	.	PUNCT
cte-300	44	1	students	student	NOUN
cte-300	44	2	were	be	AUX
cte-300	44	3	offered	offer	VERB
cte-300	44	4	a	a	DET
cte-300	44	5	typical	typical	ADJ
cte-300	44	6	test	test	NOUN
cte-300	44	7	problem	problem	NOUN
cte-300	44	8	for	for	ADP
cte-300	44	9	modeling	model	VERB
cte-300	44	10	a	a	DET
cte-300	44	11	conic	conic	NOUN
cte-300	44	12	by	by	ADP
cte-300	44	13	its	its	PRON
cte-300	44	14	geometric	geometric	ADJ
cte-300	44	15	definition	definition	NOUN
cte-300	44	16	(	(	PUNCT
cte-300	44	17	problems	problem	NOUN
cte-300	44	18	differed	differ	VERB
cte-300	44	19	from	from	ADP
cte-300	44	20	each	each	DET
cte-300	44	21	other	other	ADJ
cte-300	44	22	in	in	ADP
cte-300	44	23	the	the	DET
cte-300	44	24	input	input	NOUN
cte-300	44	25	conditions	condition	NOUN
cte-300	44	26	,	,	PUNCT
cte-300	44	27	for	for	ADP
cte-300	44	28	example	example	NOUN
cte-300	44	29	,	,	PUNCT
cte-300	44	30	the	the	DET
cte-300	44	31	distance	distance	NOUN
cte-300	44	32	between	between	ADP
cte-300	44	33	the	the	DET
cte-300	44	34	foci	focus	NOUN
cte-300	44	35	was	be	AUX
cte-300	44	36	different	different	ADJ
cte-300	44	37	or	or	CCONJ
cte-300	44	38	one	one	NUM
cte-300	44	39	of	of	ADP
cte-300	44	40	the	the	DET
cte-300	44	41	foci	focus	NOUN
cte-300	44	42	was	be	AUX
cte-300	44	43	in	in	ADP
cte-300	44	44	the	the	DET
cte-300	44	45	specific	specific	ADJ
cte-300	44	46	point	point	NOUN
cte-300	44	47	in	in	ADP
cte-300	44	48	a	a	DET
cte-300	44	49	given	give	VERB
cte-300	44	50	coordinate	coordinate	NOUN
cte-300	44	51	system	system	NOUN
cte-300	44	52	,	,	PUNCT
cte-300	44	53	etc	etc	X
cte-300	44	54	.	.	X
cte-300	44	55	)	)	PUNCT
cte-300	44	56	.	.	PUNCT
cte-300	45	1	the	the	DET
cte-300	45	2	solution	solution	NOUN
cte-300	45	3	of	of	ADP
cte-300	45	4	the	the	DET
cte-300	45	5	problem	problem	NOUN
cte-300	45	6	was	be	AUX
cte-300	45	7	evaluated	evaluate	VERB
cte-300	45	8	by	by	ADP
cte-300	45	9	the	the	DET
cte-300	45	10	following	follow	VERB
cte-300	45	11	indicators	indicator	NOUN
cte-300	45	12	(	(	PUNCT
cte-300	45	13	table	table	NOUN
cte-300	45	14	1	1	NUM
cte-300	45	15	)	)	PUNCT
cte-300	45	16	.	.	PUNCT
cte-300	46	1	table	table	NOUN
cte-300	46	2	1	1	NUM
cte-300	46	3	indicators	indicator	NOUN
cte-300	46	4	of	of	ADP
cte-300	46	5	the	the	DET
cte-300	46	6	formation	formation	NOUN
cte-300	46	7	of	of	ADP
cte-300	46	8	modeling	modeling	NOUN
cte-300	46	9	skills	skill	NOUN
cte-300	46	10	no	no	DET
cte-300	46	11	indicators	indicator	NOUN
cte-300	46	12	marks	mark	VERB
cte-300	46	13	1	1	NUM
cte-300	46	14	ability	ability	NOUN
cte-300	46	15	to	to	PART
cte-300	46	16	take	take	VERB
cte-300	46	17	into	into	ADP
cte-300	46	18	account	account	NOUN
cte-300	46	19	the	the	DET
cte-300	46	20	analytical	analytical	ADJ
cte-300	46	21	relationship	relationship	NOUN
cte-300	46	22	between	between	ADP
cte-300	46	23	the	the	DET
cte-300	46	24	elements	element	NOUN
cte-300	46	25	1	1	NUM
cte-300	46	26	2	2	NUM
cte-300	46	27	ability	ability	NOUN
cte-300	46	28	to	to	PART
cte-300	46	29	take	take	VERB
cte-300	46	30	into	into	ADP
cte-300	46	31	account	account	NOUN
cte-300	46	32	the	the	DET
cte-300	46	33	geometric	geometric	ADJ
cte-300	46	34	relationship	relationship	NOUN
cte-300	46	35	between	between	ADP
cte-300	46	36	the	the	DET
cte-300	46	37	elements	element	NOUN
cte-300	46	38	1	1	NUM
cte-300	46	39	3	3	NUM
cte-300	46	40	ability	ability	NOUN
cte-300	46	41	to	to	PART
cte-300	46	42	use	use	VERB
cte-300	46	43	the	the	DET
cte-300	46	44	locus	locus	ADJ
cte-300	46	45	tool	tool	NOUN
cte-300	46	46	1	1	NUM
cte-300	46	47	4	4	NUM
cte-300	46	48	ability	ability	NOUN
cte-300	46	49	to	to	PART
cte-300	46	50	use	use	VERB
cte-300	46	51	the	the	DET
cte-300	46	52	trace	trace	NOUN
cte-300	46	53	tool	tool	NOUN
cte-300	46	54	1	1	NUM
cte-300	46	55	5	5	NUM
cte-300	46	56	ability	ability	NOUN
cte-300	46	57	to	to	PART
cte-300	46	58	demonstrate	demonstrate	VERB
cte-300	46	59	the	the	DET
cte-300	46	60	change	change	NOUN
cte-300	46	61	of	of	ADP
cte-300	46	62	the	the	DET
cte-300	46	63	curve	curve	NOUN
cte-300	46	64	shape	shape	NOUN
cte-300	46	65	when	when	SCONJ
cte-300	46	66	changing	change	VERB
cte-300	46	67	the	the	DET
cte-300	46	68	input	input	NOUN
cte-300	46	69	data	datum	NOUN
cte-300	46	70	1	1	NUM
cte-300	46	71	6	6	NUM
cte-300	46	72	ability	ability	NOUN
cte-300	46	73	to	to	PART
cte-300	46	74	construct	construct	VERB
cte-300	46	75	a	a	DET
cte-300	46	76	model	model	NOUN
cte-300	46	77	visually	visually	ADV
cte-300	46	78	correct	correct	ADJ
cte-300	46	79	(	(	PUNCT
cte-300	46	80	location	location	NOUN
cte-300	46	81	,	,	PUNCT
cte-300	46	82	color	color	NOUN
cte-300	46	83	,	,	PUNCT
cte-300	46	84	size	size	NOUN
cte-300	46	85	and	and	CCONJ
cte-300	46	86	style	style	NOUN
cte-300	46	87	of	of	ADP
cte-300	46	88	geometric	geometric	ADJ
cte-300	46	89	objects	object	NOUN
cte-300	46	90	)	)	PUNCT
cte-300	46	91	1	1	NUM
cte-300	46	92	7	7	NUM
cte-300	46	93	ability	ability	NOUN
cte-300	46	94	to	to	PART
cte-300	46	95	add	add	VERB
cte-300	46	96	dynamic	dynamic	ADJ
cte-300	46	97	text	text	NOUN
cte-300	46	98	to	to	PART
cte-300	46	99	study	study	VERB
cte-300	46	100	numerical	numerical	ADJ
cte-300	46	101	characteristics	characteristic	NOUN
cte-300	46	102	1	1	NUM
cte-300	46	103	8	8	NUM
cte-300	46	104	ability	ability	NOUN
cte-300	46	105	to	to	PART
cte-300	46	106	write	write	VERB
cte-300	46	107	an	an	DET
cte-300	46	108	algorithm	algorithm	NOUN
cte-300	46	109	for	for	ADP
cte-300	46	110	constructing	construct	VERB
cte-300	46	111	a	a	DET
cte-300	46	112	model	model	NOUN
cte-300	46	113	1	1	NUM
cte-300	46	114	9	9	NUM
cte-300	46	115	ability	ability	NOUN
cte-300	46	116	to	to	PART
cte-300	46	117	reproduce	reproduce	VERB
cte-300	46	118	the	the	DET
cte-300	46	119	steps	step	NOUN
cte-300	46	120	of	of	ADP
cte-300	46	121	the	the	DET
cte-300	46	122	algorithm	algorithm	NOUN
cte-300	46	123	to	to	PART
cte-300	46	124	construct	construct	VERB
cte-300	46	125	the	the	DET
cte-300	46	126	model	model	NOUN
cte-300	46	127	1	1	NUM
cte-300	46	128	10	10	NUM
cte-300	46	129	ability	ability	NOUN
cte-300	46	130	to	to	PART
cte-300	46	131	interpret	interpret	VERB
cte-300	46	132	the	the	DET
cte-300	46	133	result	result	NOUN
cte-300	46	134	of	of	ADP
cte-300	46	135	a	a	DET
cte-300	46	136	computer	computer	NOUN
cte-300	46	137	experiment	experiment	NOUN
cte-300	46	138	1	1	NUM
cte-300	46	139	since	since	SCONJ
cte-300	46	140	the	the	DET
cte-300	46	141	results	result	NOUN
cte-300	46	142	of	of	ADP
cte-300	46	143	the	the	DET
cte-300	46	144	tests	test	NOUN
cte-300	46	145	were	be	AUX
cte-300	46	146	dependent	dependent	ADJ
cte-300	46	147	and	and	CCONJ
cte-300	46	148	each	each	DET
cte-300	46	149	time	time	NOUN
cte-300	46	150	provided	provide	VERB
cte-300	46	151	for	for	ADP
cte-300	46	152	the	the	DET
cte-300	46	153	accumulation	accumulation	NOUN
cte-300	46	154	of	of	ADP
cte-300	46	155	marks	mark	NOUN
cte-300	46	156	,	,	PUNCT
cte-300	46	157	the	the	DET
cte-300	46	158	sign	sign	NOUN
cte-300	46	159	test	test	NOUN
cte-300	46	160	was	be	AUX
cte-300	46	161	used	use	VERB
cte-300	46	162	.	.	PUNCT
cte-300	47	1	the	the	DET
cte-300	47	2	number	number	NOUN
cte-300	47	3	of	of	ADP
cte-300	47	4	respondents	respondent	NOUN
cte-300	47	5	,	,	PUNCT
cte-300	47	6	whose	whose	DET
cte-300	47	7	total	total	ADJ
cte-300	47	8	score	score	NOUN
cte-300	47	9	decreased	decrease	VERB
cte-300	47	10	(	(	PUNCT
cte-300	47	11	“	"	PUNCT
cte-300	47	12	–	–	PUNCT
cte-300	47	13	”	"	PUNCT
cte-300	47	14	)	)	PUNCT
cte-300	47	15	,	,	PUNCT
cte-300	47	16	did	do	AUX
cte-300	47	17	not	not	PART
cte-300	47	18	change	change	VERB
cte-300	47	19	(	(	PUNCT
cte-300	47	20	“	"	PUNCT
cte-300	47	21	0	0	NUM
cte-300	47	22	”	"	PUNCT
cte-300	47	23	)	)	PUNCT
cte-300	47	24	and	and	CCONJ
cte-300	47	25	increased	increase	VERB
cte-300	47	26	(	(	PUNCT
cte-300	47	27	“	"	PUNCT
cte-300	47	28	+	+	ADJ
cte-300	47	29	”	"	PUNCT
cte-300	47	30	)	)	PUNCT
cte-300	47	31	,	,	PUNCT
cte-300	47	32	was	be	AUX
cte-300	47	33	fixed	fix	VERB
cte-300	47	34	.	.	PUNCT
cte-300	48	1	in	in	ADP
cte-300	48	2	accordance	accordance	NOUN
cte-300	48	3	with	with	ADP
cte-300	48	4	the	the	DET
cte-300	48	5	purpose	purpose	NOUN
cte-300	48	6	of	of	ADP
cte-300	48	7	the	the	DET
cte-300	48	8	experiment	experiment	NOUN
cte-300	48	9	and	and	CCONJ
cte-300	48	10	the	the	DET
cte-300	48	11	sign	sign	NOUN
cte-300	48	12	test	test	NOUN
cte-300	48	13	,	,	PUNCT
cte-300	48	14	the	the	DET
cte-300	48	15	null	null	ADJ
cte-300	48	16	hypothesis	hypothesis	NOUN
cte-300	48	17	was	be	AUX
cte-300	48	18	formulated	formulate	VERB
cte-300	48	19	:	:	PUNCT
cte-300	48	20	the	the	DET
cte-300	48	21	author	author	NOUN
cte-300	48	22	’s	’s	PART
cte-300	48	23	methodology	methodology	NOUN
cte-300	48	24	does	do	AUX
cte-300	48	25	not	not	PART
cte-300	48	26	contribute	contribute	VERB
cte-300	48	27	to	to	ADP
cte-300	48	28	the	the	DET
cte-300	48	29	formation	formation	NOUN
cte-300	48	30	of	of	ADP
cte-300	48	31	modeling	modeling	NOUN
cte-300	48	32	skills	skill	NOUN
cte-300	48	33	by	by	ADP
cte-300	48	34	means	mean	NOUN
cte-300	48	35	of	of	ADP
cte-300	48	36	geogebra	geogebra	NOUN
cte-300	48	37	cloud	cloud	NOUN
cte-300	48	38	service	service	NOUN
cte-300	48	39	.	.	PUNCT
cte-300	49	1	then	then	ADV
cte-300	49	2	the	the	DET
cte-300	49	3	alternative	alternative	ADJ
cte-300	49	4	hypothesis	hypothesis	NOUN
cte-300	49	5	was	be	AUX
cte-300	49	6	“	"	PUNCT
cte-300	49	7	the	the	DET
cte-300	49	8	author	author	NOUN
cte-300	49	9	’s	’s	PART
cte-300	49	10	methodology	methodology	NOUN
cte-300	49	11	contributes	contribute	VERB
cte-300	49	12	to	to	ADP
cte-300	49	13	the	the	DET
cte-300	49	14	formation	formation	NOUN
cte-300	49	15	of	of	ADP
cte-300	49	16	such	such	ADJ
cte-300	49	17	skills	skill	NOUN
cte-300	49	18	”	"	PUNCT
cte-300	49	19	.	.	PUNCT
cte-300	50	1	the	the	DET
cte-300	50	2	constructed	construct	VERB
cte-300	50	3	hypotheses	hypothesis	NOUN
cte-300	50	4	define	define	VERB
cte-300	50	5	the	the	DET
cte-300	50	6	one	one	NUM
cte-300	50	7	-	-	PUNCT
cte-300	50	8	sided	sided	ADJ
cte-300	50	9	sign	sign	NOUN
cte-300	50	10	test	test	NOUN
cte-300	50	11	for	for	ADP
cte-300	50	12	checking	check	VERB
cte-300	50	13	the	the	DET
cte-300	50	14	dependent	dependent	ADJ
cte-300	50	15	samples	sample	NOUN
cte-300	50	16	.	.	PUNCT
cte-300	51	1	according	accord	VERB
cte-300	51	2	to	to	ADP
cte-300	51	3	the	the	DET
cte-300	51	4	decision	decision	NOUN
cte-300	51	5	-	-	PUNCT
cte-300	51	6	making	make	VERB
cte-300	51	7	rule	rule	NOUN
cte-300	51	8	[	[	X
cte-300	51	9	10	10	NUM
cte-300	51	10	]	]	PUNCT
cte-300	51	11	the	the	DET
cte-300	51	12	null	null	ADJ
cte-300	51	13	hypothesis	hypothesis	NOUN
cte-300	51	14	of	of	ADP
cte-300	51	15	inefficiency	inefficiency	NOUN
cte-300	51	16	/	/	SYM
cte-300	51	17	effectiveness	effectiveness	NOUN
cte-300	51	18	of	of	ADP
cte-300	51	19	460	460	NUM
cte-300	51	20	https://www.geogebra.org	https://www.geogebra.org	X
cte-300	51	21	cte	cte	PROPN
cte-300	51	22	workshop	workshop	NOUN
cte-300	51	23	proceedings	proceeding	NOUN
cte-300	51	24	,	,	PUNCT
cte-300	51	25	2021	2021	NUM
cte-300	51	26	,	,	PUNCT
cte-300	51	27	vol	vol	NOUN
cte-300	51	28	.	.	NOUN
cte-300	51	29	8	8	NUM
cte-300	51	30	:	:	PUNCT
cte-300	51	31	cte-2020	cte-2020	NOUN
cte-300	51	32	,	,	PUNCT
cte-300	51	33	pp	pp	ADP
cte-300	51	34	.	.	PUNCT
cte-300	52	1	458	458	NUM
cte-300	52	2	-	-	SYM
cte-300	52	3	472	472	NUM
cte-300	52	4	the	the	DET
cte-300	52	5	author	author	NOUN
cte-300	52	6	’s	’s	PART
cte-300	52	7	methodology	methodology	NOUN
cte-300	52	8	was	be	AUX
cte-300	52	9	accepted	accept	VERB
cte-300	52	10	or	or	CCONJ
cte-300	52	11	rejected	reject	VERB
cte-300	52	12	.	.	PUNCT
cte-300	53	1	3	3	X
cte-300	53	2	.	.	X
cte-300	53	3	constructive	constructive	ADJ
cte-300	53	4	approach	approach	NOUN
cte-300	53	5	the	the	DET
cte-300	53	6	constructive	constructive	ADJ
cte-300	53	7	approach	approach	NOUN
cte-300	53	8	is	be	AUX
cte-300	53	9	characterized	characterize	VERB
cte-300	53	10	by	by	ADP
cte-300	53	11	the	the	DET
cte-300	53	12	fact	fact	NOUN
cte-300	53	13	that	that	SCONJ
cte-300	53	14	acquaintance	acquaintance	NOUN
cte-300	53	15	with	with	ADP
cte-300	53	16	the	the	DET
cte-300	53	17	properties	property	NOUN
cte-300	53	18	of	of	ADP
cte-300	53	19	concepts	concept	NOUN
cte-300	53	20	begins	begin	VERB
cte-300	53	21	with	with	ADP
cte-300	53	22	constructive	constructive	ADJ
cte-300	53	23	activities	activity	NOUN
cte-300	53	24	for	for	ADP
cte-300	53	25	their	their	PRON
cte-300	53	26	“	"	PUNCT
cte-300	53	27	discovery	discovery	NOUN
cte-300	53	28	”	"	PUNCT
cte-300	53	29	and	and	CCONJ
cte-300	53	30	assimilation	assimilation	NOUN
cte-300	53	31	with	with	ADP
cte-300	53	32	a	a	DET
cte-300	53	33	gradual	gradual	ADJ
cte-300	53	34	transition	transition	NOUN
cte-300	53	35	to	to	ADP
cte-300	53	36	definitions	definition	NOUN
cte-300	53	37	and	and	CCONJ
cte-300	53	38	logical	logical	ADJ
cte-300	53	39	proofs	proof	NOUN
cte-300	53	40	.	.	PUNCT
cte-300	54	1	this	this	PRON
cte-300	54	2	,	,	PUNCT
cte-300	54	3	in	in	ADP
cte-300	54	4	particular	particular	ADJ
cte-300	54	5	,	,	PUNCT
cte-300	54	6	simplifies	simplify	VERB
cte-300	54	7	the	the	DET
cte-300	54	8	perception	perception	NOUN
cte-300	54	9	of	of	ADP
cte-300	54	10	the	the	DET
cte-300	54	11	geometry	geometry	NOUN
cte-300	54	12	course	course	NOUN
cte-300	54	13	,	,	PUNCT
cte-300	54	14	makes	make	VERB
cte-300	54	15	it	it	PRON
cte-300	54	16	more	more	ADV
cte-300	54	17	accessible	accessible	ADJ
cte-300	54	18	,	,	PUNCT
cte-300	54	19	while	while	SCONJ
cte-300	54	20	raising	raise	VERB
cte-300	54	21	the	the	DET
cte-300	54	22	scientific	scientific	ADJ
cte-300	54	23	level	level	NOUN
cte-300	54	24	through	through	ADP
cte-300	54	25	the	the	DET
cte-300	54	26	intensification	intensification	NOUN
cte-300	54	27	of	of	ADP
cte-300	54	28	educatees	educatee	NOUN
cte-300	54	29	’	'	PUNCT
cte-300	54	30	research	research	NOUN
cte-300	54	31	activities	activity	NOUN
cte-300	54	32	.	.	PUNCT
cte-300	55	1	the	the	DET
cte-300	55	2	use	use	NOUN
cte-300	55	3	of	of	ADP
cte-300	55	4	the	the	DET
cte-300	55	5	constructive	constructive	ADJ
cte-300	55	6	approach	approach	NOUN
cte-300	55	7	contributes	contribute	VERB
cte-300	55	8	to	to	ADP
cte-300	55	9	the	the	DET
cte-300	55	10	fact	fact	NOUN
cte-300	55	11	that	that	SCONJ
cte-300	55	12	the	the	DET
cte-300	55	13	activity	activity	NOUN
cte-300	55	14	is	be	AUX
cte-300	55	15	manifested	manifest	VERB
cte-300	55	16	in	in	ADP
cte-300	55	17	the	the	DET
cte-300	55	18	gradual	gradual	ADJ
cte-300	55	19	transition	transition	NOUN
cte-300	55	20	of	of	ADP
cte-300	55	21	actions	action	NOUN
cte-300	55	22	for	for	ADP
cte-300	55	23	the	the	DET
cte-300	55	24	construction	construction	NOUN
cte-300	55	25	of	of	ADP
cte-300	55	26	objects	object	NOUN
cte-300	55	27	from	from	ADP
cte-300	55	28	the	the	DET
cte-300	55	29	executive	executive	ADJ
cte-300	55	30	level	level	NOUN
cte-300	55	31	(	(	PUNCT
cte-300	55	32	is	be	AUX
cte-300	55	33	characterized	characterize	VERB
cte-300	55	34	by	by	ADP
cte-300	55	35	external	external	ADJ
cte-300	55	36	regulation	regulation	NOUN
cte-300	55	37	)	)	PUNCT
cte-300	55	38	,	,	PUNCT
cte-300	55	39	then	then	ADV
cte-300	55	40	to	to	PART
cte-300	55	41	reproductive	reproductive	VERB
cte-300	55	42	(	(	PUNCT
cte-300	55	43	is	be	AUX
cte-300	55	44	marked	mark	VERB
cte-300	55	45	by	by	ADP
cte-300	55	46	internal	internal	ADJ
cte-300	55	47	regulation	regulation	NOUN
cte-300	55	48	of	of	ADP
cte-300	55	49	actions	action	NOUN
cte-300	55	50	in	in	ADP
cte-300	55	51	the	the	DET
cte-300	55	52	construction	construction	NOUN
cte-300	55	53	of	of	ADP
cte-300	55	54	known	know	VERB
cte-300	55	55	structures	structure	NOUN
cte-300	55	56	)	)	PUNCT
cte-300	55	57	,	,	PUNCT
cte-300	55	58	then	then	ADV
cte-300	55	59	to	to	ADP
cte-300	55	60	the	the	DET
cte-300	55	61	applied	apply	VERB
cte-300	55	62	level	level	NOUN
cte-300	55	63	(	(	PUNCT
cte-300	55	64	using	use	VERB
cte-300	55	65	the	the	DET
cte-300	55	66	method	method	NOUN
cte-300	55	67	of	of	ADP
cte-300	55	68	construction	construction	NOUN
cte-300	55	69	)	)	PUNCT
cte-300	55	70	,	,	PUNCT
cte-300	55	71	and	and	CCONJ
cte-300	55	72	,	,	PUNCT
cte-300	55	73	finally	finally	ADV
cte-300	55	74	,	,	PUNCT
cte-300	55	75	the	the	DET
cte-300	55	76	creative	creative	ADJ
cte-300	55	77	level	level	NOUN
cte-300	55	78	(	(	PUNCT
cte-300	55	79	involves	involve	VERB
cte-300	55	80	the	the	DET
cte-300	55	81	construction	construction	NOUN
cte-300	55	82	of	of	ADP
cte-300	55	83	new	new	ADJ
cte-300	55	84	objects	object	NOUN
cte-300	55	85	)	)	PUNCT
cte-300	55	86	(	(	PUNCT
cte-300	55	87	figure	figure	NOUN
cte-300	55	88	1	1	NUM
cte-300	55	89	)	)	PUNCT
cte-300	56	1	[	[	X
cte-300	56	2	37	37	NUM
cte-300	56	3	]	]	PUNCT
cte-300	56	4	.	.	PUNCT
cte-300	57	1	figure	figure	NOUN
cte-300	57	2	1	1	NUM
cte-300	57	3	:	:	PUNCT
cte-300	57	4	constructive	constructive	ADJ
cte-300	57	5	approach	approach	NOUN
cte-300	57	6	activity	activity	NOUN
cte-300	57	7	levels	level	NOUN
cte-300	57	8	.	.	PUNCT
cte-300	58	1	we	we	PRON
cte-300	58	2	consider	consider	VERB
cte-300	58	3	constructive	constructive	ADJ
cte-300	58	4	tasks	task	NOUN
cte-300	58	5	to	to	PART
cte-300	58	6	be	be	AUX
cte-300	58	7	one	one	NUM
cte-300	58	8	of	of	ADP
cte-300	58	9	the	the	DET
cte-300	58	10	means	mean	NOUN
cte-300	58	11	of	of	ADP
cte-300	58	12	implementing	implement	VERB
cte-300	58	13	a	a	DET
cte-300	58	14	constructive	constructive	ADJ
cte-300	58	15	approach	approach	NOUN
cte-300	58	16	.	.	PUNCT
cte-300	59	1	many	many	ADJ
cte-300	59	2	authors	author	NOUN
cte-300	59	3	use	use	VERB
cte-300	59	4	the	the	DET
cte-300	59	5	term	term	NOUN
cte-300	59	6	“	"	PUNCT
cte-300	59	7	constructive	constructive	ADJ
cte-300	59	8	tasks	task	NOUN
cte-300	59	9	”	"	PUNCT
cte-300	59	10	in	in	ADP
cte-300	59	11	a	a	DET
cte-300	59	12	sense	sense	NOUN
cte-300	59	13	identical	identical	ADJ
cte-300	59	14	to	to	ADP
cte-300	59	15	construction	construction	NOUN
cte-300	59	16	problems	problem	NOUN
cte-300	59	17	.	.	PUNCT
cte-300	60	1	however	however	ADV
cte-300	60	2	,	,	PUNCT
cte-300	60	3	the	the	DET
cte-300	60	4	peculiarities	peculiarity	NOUN
cte-300	60	5	of	of	ADP
cte-300	60	6	the	the	DET
cte-300	60	7	constructive	constructive	ADJ
cte-300	60	8	approach	approach	NOUN
cte-300	60	9	require	require	VERB
cte-300	60	10	the	the	DET
cte-300	60	11	use	use	NOUN
cte-300	60	12	for	for	ADP
cte-300	60	13	its	its	PRON
cte-300	60	14	implementation	implementation	NOUN
cte-300	60	15	and	and	CCONJ
cte-300	60	16	other	other	ADJ
cte-300	60	17	tasks	task	NOUN
cte-300	60	18	,	,	PUNCT
cte-300	60	19	the	the	DET
cte-300	60	20	solution	solution	NOUN
cte-300	60	21	of	of	ADP
cte-300	60	22	which	which	PRON
cte-300	60	23	requires	require	VERB
cte-300	60	24	the	the	DET
cte-300	60	25	implementation	implementation	NOUN
cte-300	60	26	of	of	ADP
cte-300	60	27	a	a	DET
cte-300	60	28	particular	particular	ADJ
cte-300	60	29	constructive	constructive	ADJ
cte-300	60	30	activity	activity	NOUN
cte-300	60	31	.	.	PUNCT
cte-300	61	1	therefore	therefore	ADV
cte-300	61	2	,	,	PUNCT
cte-300	61	3	for	for	ADP
cte-300	61	4	example	example	NOUN
cte-300	61	5	,	,	PUNCT
cte-300	61	6	lisimova	lisimova	PROPN
cte-300	62	1	[	[	X
cte-300	62	2	22	22	NUM
cte-300	62	3	]	]	PUNCT
cte-300	62	4	considers	consider	VERB
cte-300	62	5	constructive	constructive	ADJ
cte-300	62	6	tasks	task	NOUN
cte-300	62	7	as	as	ADP
cte-300	62	8	tasks	task	NOUN
cte-300	62	9	for	for	ADP
cte-300	62	10	construction	construction	NOUN
cte-300	62	11	,	,	PUNCT
cte-300	62	12	imaging	imaging	NOUN
cte-300	62	13	,	,	PUNCT
cte-300	62	14	measurement	measurement	NOUN
cte-300	62	15	,	,	PUNCT
cte-300	62	16	geometric	geometric	ADJ
cte-300	62	17	design	design	NOUN
cte-300	62	18	and	and	CCONJ
cte-300	62	19	structural	structural	ADJ
cte-300	62	20	-	-	PUNCT
cte-300	62	21	geometric	geometric	ADJ
cte-300	62	22	modeling	modeling	NOUN
cte-300	62	23	.	.	PUNCT
cte-300	63	1	dalinger	dalinger	NOUN
cte-300	64	1	[	[	X
cte-300	64	2	7	7	NUM
cte-300	64	3	]	]	PUNCT
cte-300	64	4	considers	consider	VERB
cte-300	64	5	constructive	constructive	ADJ
cte-300	64	6	tasks	task	NOUN
cte-300	64	7	as	as	ADP
cte-300	64	8	“	"	PUNCT
cte-300	64	9	problems	problem	NOUN
cte-300	64	10	in	in	ADP
cte-300	64	11	the	the	DET
cte-300	64	12	process	process	NOUN
cte-300	64	13	of	of	ADP
cte-300	64	14	solving	solving	NOUN
cte-300	64	15	which	which	PRON
cte-300	64	16	reveal	reveal	VERB
cte-300	64	17	the	the	DET
cte-300	64	18	material	material	NOUN
cte-300	64	19	conditions	condition	NOUN
cte-300	64	20	of	of	ADP
cte-300	64	21	geometric	geometric	ADJ
cte-300	64	22	figures	figure	NOUN
cte-300	64	23	.	.	PUNCT
cte-300	65	1	their	their	PRON
cte-300	65	2	purpose	purpose	NOUN
cte-300	65	3	is	be	AUX
cte-300	65	4	to	to	PART
cte-300	65	5	identify	identify	VERB
cte-300	65	6	the	the	DET
cte-300	65	7	essential	essential	ADJ
cte-300	65	8	features	feature	NOUN
cte-300	65	9	of	of	ADP
cte-300	65	10	ideas	idea	NOUN
cte-300	65	11	that	that	PRON
cte-300	65	12	are	be	AUX
cte-300	65	13	formed	form	VERB
cte-300	65	14	through	through	ADP
cte-300	65	15	the	the	DET
cte-300	65	16	material	material	NOUN
cte-300	65	17	conditions	condition	NOUN
cte-300	65	18	of	of	ADP
cte-300	65	19	their	their	PRON
cte-300	65	20	origin	origin	NOUN
cte-300	65	21	”	"	PUNCT
cte-300	65	22	.	.	PUNCT
cte-300	66	1	constructive	constructive	ADJ
cte-300	66	2	tasks	task	NOUN
cte-300	66	3	can	can	AUX
cte-300	66	4	be	be	AUX
cte-300	66	5	a	a	DET
cte-300	66	6	base	base	NOUN
cte-300	66	7	for	for	ADP
cte-300	66	8	establishing	establish	VERB
cte-300	66	9	new	new	ADJ
cte-300	66	10	properties	property	NOUN
cte-300	66	11	of	of	ADP
cte-300	66	12	figures	figure	NOUN
cte-300	66	13	(	(	PUNCT
cte-300	66	14	concepts	concept	VERB
cte-300	66	15	formation	formation	NOUN
cte-300	66	16	)	)	PUNCT
cte-300	66	17	,	,	PUNCT
cte-300	66	18	for	for	ADP
cte-300	66	19	the	the	DET
cte-300	66	20	consolidation	consolidation	NOUN
cte-300	66	21	of	of	ADP
cte-300	66	22	knowledge	knowledge	NOUN
cte-300	66	23	,	,	PUNCT
cte-300	66	24	for	for	ADP
cte-300	66	25	repetition	repetition	NOUN
cte-300	66	26	,	,	PUNCT
cte-300	66	27	control	control	NOUN
cte-300	66	28	,	,	PUNCT
cte-300	66	29	intensification	intensification	NOUN
cte-300	66	30	of	of	ADP
cte-300	66	31	research	research	NOUN
cte-300	66	32	activities	activity	NOUN
cte-300	66	33	.	.	PUNCT
cte-300	67	1	“	"	PUNCT
cte-300	67	2	the	the	DET
cte-300	67	3	peculiarity	peculiarity	NOUN
cte-300	67	4	of	of	ADP
cte-300	67	5	constructive	constructive	ADJ
cte-300	67	6	tasks	task	NOUN
cte-300	67	7	is	be	AUX
cte-300	67	8	that	that	SCONJ
cte-300	67	9	they	they	PRON
cte-300	67	10	can	can	AUX
cte-300	67	11	be	be	AUX
cte-300	67	12	solved	solve	VERB
cte-300	67	13	both	both	CCONJ
cte-300	67	14	logically	logically	ADV
cte-300	67	15	and	and	CCONJ
cte-300	67	16	figuratively	figuratively	ADV
cte-300	67	17	or	or	CCONJ
cte-300	67	18	visually	visually	ADV
cte-300	67	19	effective	effective	ADJ
cte-300	67	20	”	"	PUNCT
cte-300	68	1	[	[	X
cte-300	68	2	22	22	NUM
cte-300	68	3	]	]	PUNCT
cte-300	68	4	.	.	PUNCT
cte-300	69	1	when	when	SCONJ
cte-300	69	2	solving	solve	VERB
cte-300	69	3	constructive	constructive	ADJ
cte-300	69	4	tasks	task	NOUN
cte-300	69	5	,	,	PUNCT
cte-300	69	6	there	there	PRON
cte-300	69	7	is	be	VERB
cte-300	69	8	a	a	DET
cte-300	69	9	productive	productive	ADJ
cte-300	69	10	activity	activity	NOUN
cte-300	69	11	that	that	PRON
cte-300	69	12	motivates	motivate	VERB
cte-300	69	13	to	to	PART
cte-300	69	14	think	think	VERB
cte-300	69	15	independently	independently	ADV
cte-300	69	16	(	(	PUNCT
cte-300	69	17	methods	method	NOUN
cte-300	69	18	of	of	ADP
cte-300	69	19	constructing	construct	VERB
cte-300	69	20	have	have	VERB
cte-300	69	21	to	to	PART
cte-300	69	22	be	be	AUX
cte-300	69	23	developed	develop	VERB
cte-300	69	24	independently	independently	ADV
cte-300	69	25	)	)	PUNCT
cte-300	69	26	,	,	PUNCT
cte-300	69	27	and	and	CCONJ
cte-300	69	28	not	not	PART
cte-300	69	29	reproductive	reproductive	ADJ
cte-300	69	30	activity	activity	NOUN
cte-300	69	31	,	,	PUNCT
cte-300	69	32	which	which	PRON
cte-300	69	33	is	be	AUX
cte-300	69	34	often	often	ADV
cte-300	69	35	not	not	PART
cte-300	69	36	an	an	DET
cte-300	69	37	independent	independent	ADJ
cte-300	69	38	mental	mental	ADJ
cte-300	69	39	process	process	NOUN
cte-300	69	40	,	,	PUNCT
cte-300	69	41	but	but	CCONJ
cte-300	69	42	is	be	AUX
cte-300	69	43	a	a	DET
cte-300	69	44	repetition	repetition	NOUN
cte-300	69	45	of	of	ADP
cte-300	69	46	known	know	VERB
cte-300	69	47	steps	step	NOUN
cte-300	69	48	[	[	X
cte-300	69	49	6	6	NUM
cte-300	69	50	]	]	PUNCT
cte-300	69	51	.	.	PUNCT
cte-300	70	1	mastering	master	VERB
cte-300	70	2	the	the	DET
cte-300	70	3	system	system	NOUN
cte-300	70	4	of	of	ADP
cte-300	70	5	knowledge	knowledge	NOUN
cte-300	70	6	and	and	CCONJ
cte-300	70	7	skills	skill	NOUN
cte-300	70	8	can	can	AUX
cte-300	70	9	take	take	VERB
cte-300	70	10	place	place	NOUN
cte-300	70	11	on	on	ADP
cte-300	70	12	two	two	NUM
cte-300	70	13	levels	level	NOUN
cte-300	70	14	:	:	PUNCT
cte-300	70	15	constructive	constructive	ADJ
cte-300	70	16	and	and	CCONJ
cte-300	70	17	analytical	analytical	ADJ
cte-300	70	18	.	.	PUNCT
cte-300	71	1	the	the	DET
cte-300	71	2	main	main	ADJ
cte-300	71	3	feature	feature	NOUN
cte-300	71	4	of	of	ADP
cte-300	71	5	the	the	DET
cte-300	71	6	constructive	constructive	ADJ
cte-300	71	7	level	level	NOUN
cte-300	71	8	of	of	ADP
cte-300	71	9	mastery	mastery	NOUN
cte-300	71	10	of	of	ADP
cte-300	71	11	the	the	DET
cte-300	71	12	material	material	NOUN
cte-300	71	13	is	be	AUX
cte-300	71	14	its	its	PRON
cte-300	71	15	visual	visual	ADJ
cte-300	71	16	and	and	CCONJ
cte-300	71	17	461	461	NUM
cte-300	71	18	cte	cte	NOUN
cte-300	71	19	workshop	workshop	NOUN
cte-300	71	20	proceedings	proceeding	NOUN
cte-300	71	21	,	,	PUNCT
cte-300	71	22	2021	2021	NUM
cte-300	71	23	,	,	PUNCT
cte-300	71	24	vol	vol	NOUN
cte-300	71	25	.	.	NOUN
cte-300	71	26	8	8	NUM
cte-300	71	27	:	:	PUNCT
cte-300	71	28	cte-2020	cte-2020	NOUN
cte-300	71	29	,	,	PUNCT
cte-300	71	30	pp	pp	ADP
cte-300	71	31	.	.	PUNCT
cte-300	72	1	458	458	NUM
cte-300	72	2	-	-	SYM
cte-300	72	3	472	472	NUM
cte-300	72	4	constructive	constructive	ADJ
cte-300	72	5	awareness	awareness	NOUN
cte-300	72	6	.	.	PUNCT
cte-300	73	1	this	this	PRON
cte-300	73	2	is	be	AUX
cte-300	73	3	manifested	manifest	VERB
cte-300	73	4	:	:	PUNCT
cte-300	73	5	•	•	ADV
cte-300	73	6	in	in	ADP
cte-300	73	7	the	the	DET
cte-300	73	8	ability	ability	NOUN
cte-300	73	9	to	to	PART
cte-300	73	10	recognize	recognize	VERB
cte-300	73	11	objects	object	NOUN
cte-300	73	12	that	that	PRON
cte-300	73	13	belong	belong	VERB
cte-300	73	14	and	and	CCONJ
cte-300	73	15	do	do	AUX
cte-300	73	16	not	not	PART
cte-300	73	17	belong	belong	VERB
cte-300	73	18	to	to	ADP
cte-300	73	19	the	the	DET
cte-300	73	20	content	content	NOUN
cte-300	73	21	of	of	ADP
cte-300	73	22	this	this	DET
cte-300	73	23	concept	concept	NOUN
cte-300	73	24	,	,	PUNCT
cte-300	73	25	give	give	VERB
cte-300	73	26	examples	example	NOUN
cte-300	73	27	,	,	PUNCT
cte-300	73	28	demonstrate	demonstrate	VERB
cte-300	73	29	the	the	DET
cte-300	73	30	existence	existence	NOUN
cte-300	73	31	of	of	ADP
cte-300	73	32	the	the	DET
cte-300	73	33	studied	study	VERB
cte-300	73	34	figures	figure	NOUN
cte-300	73	35	by	by	ADP
cte-300	73	36	construction	construction	NOUN
cte-300	73	37	;	;	PUNCT
cte-300	73	38	•	•	NUM
cte-300	73	39	in	in	ADP
cte-300	73	40	the	the	DET
cte-300	73	41	knowledge	knowledge	NOUN
cte-300	73	42	of	of	ADP
cte-300	73	43	their	their	PRON
cte-300	73	44	most	most	ADV
cte-300	73	45	essential	essential	ADJ
cte-300	73	46	properties	property	NOUN
cte-300	73	47	and	and	CCONJ
cte-300	73	48	the	the	DET
cte-300	73	49	ability	ability	NOUN
cte-300	73	50	to	to	PART
cte-300	73	51	apply	apply	VERB
cte-300	73	52	known	know	VERB
cte-300	73	53	properties	property	NOUN
cte-300	73	54	in	in	ADP
cte-300	73	55	solving	solve	VERB
cte-300	73	56	problems	problem	NOUN
cte-300	73	57	.	.	PUNCT
cte-300	74	1	the	the	DET
cte-300	74	2	constructive	constructive	ADJ
cte-300	74	3	approach	approach	NOUN
cte-300	74	4	provides	provide	VERB
cte-300	74	5	“	"	PUNCT
cte-300	74	6	points	point	NOUN
cte-300	74	7	of	of	ADP
cte-300	74	8	support	support	NOUN
cte-300	74	9	”	"	PUNCT
cte-300	74	10	for	for	ADP
cte-300	74	11	geometry	geometry	NOUN
cte-300	74	12	study	study	NOUN
cte-300	74	13	at	at	ADP
cte-300	74	14	a	a	DET
cte-300	74	15	higher	high	ADJ
cte-300	74	16	abstract	abstract	ADJ
cte-300	74	17	level	level	NOUN
cte-300	74	18	,	,	PUNCT
cte-300	74	19	which	which	PRON
cte-300	74	20	is	be	AUX
cte-300	74	21	characterized	characterize	VERB
cte-300	74	22	by	by	ADP
cte-300	74	23	the	the	DET
cte-300	74	24	ability	ability	NOUN
cte-300	74	25	to	to	PART
cte-300	74	26	formulate	formulate	VERB
cte-300	74	27	definitions	definition	NOUN
cte-300	74	28	of	of	ADP
cte-300	74	29	concepts	concept	NOUN
cte-300	74	30	,	,	PUNCT
cte-300	74	31	statements	statement	NOUN
cte-300	74	32	and	and	CCONJ
cte-300	74	33	prove	prove	VERB
cte-300	74	34	already	already	ADV
cte-300	74	35	in	in	ADP
cte-300	74	36	formal	formal	ADJ
cte-300	74	37	language	language	NOUN
cte-300	74	38	,	,	PUNCT
cte-300	74	39	rather	rather	ADV
cte-300	74	40	than	than	ADP
cte-300	74	41	the	the	DET
cte-300	74	42	language	language	NOUN
cte-300	74	43	of	of	ADP
cte-300	74	44	geometric	geometric	ADJ
cte-300	74	45	images	image	NOUN
cte-300	74	46	.	.	PUNCT
cte-300	75	1	4	4	X
cte-300	75	2	.	.	X
cte-300	75	3	methodology	methodology	NOUN
cte-300	75	4	of	of	ADP
cte-300	75	5	forming	form	VERB
cte-300	75	6	skills	skill	NOUN
cte-300	75	7	to	to	AUX
cte-300	75	8	model	model	VERB
cte-300	75	9	interesting	interesting	ADJ
cte-300	75	10	curves	curve	NOUN
cte-300	75	11	based	base	VERB
cte-300	75	12	on	on	ADP
cte-300	75	13	a	a	DET
cte-300	75	14	constructive	constructive	ADJ
cte-300	75	15	approach	approach	NOUN
cte-300	75	16	in	in	ADP
cte-300	75	17	geogebra	geogebra	NOUN
cte-300	75	18	cloud	cloud	NOUN
cte-300	75	19	service	service	NOUN
cte-300	75	20	any	any	DET
cte-300	75	21	methodology	methodology	NOUN
cte-300	75	22	involves	involve	VERB
cte-300	75	23	the	the	DET
cte-300	75	24	presence	presence	NOUN
cte-300	75	25	of	of	ADP
cte-300	75	26	five	five	NUM
cte-300	75	27	elements	element	NOUN
cte-300	75	28	(	(	PUNCT
cte-300	75	29	figure	figure	NOUN
cte-300	75	30	2	2	NUM
cte-300	75	31	):	):	PUNCT
cte-300	75	32	purpose	purpose	NOUN
cte-300	75	33	,	,	PUNCT
cte-300	75	34	content	content	NOUN
cte-300	75	35	,	,	PUNCT
cte-300	75	36	forms	form	NOUN
cte-300	75	37	,	,	PUNCT
cte-300	75	38	methods	method	NOUN
cte-300	75	39	and	and	CCONJ
cte-300	75	40	means	mean	NOUN
cte-300	75	41	.	.	PUNCT
cte-300	76	1	let	let	VERB
cte-300	76	2	us	we	PRON
cte-300	76	3	explain	explain	VERB
cte-300	76	4	them	they	PRON
cte-300	76	5	in	in	ADP
cte-300	76	6	more	more	ADJ
cte-300	76	7	detail	detail	NOUN
cte-300	76	8	.	.	PUNCT
cte-300	77	1	figure	figure	NOUN
cte-300	77	2	2	2	NUM
cte-300	77	3	:	:	PUNCT
cte-300	77	4	components	component	NOUN
cte-300	77	5	of	of	ADP
cte-300	77	6	the	the	DET
cte-300	77	7	author	author	NOUN
cte-300	77	8	’s	’s	PART
cte-300	77	9	methodology	methodology	NOUN
cte-300	77	10	.	.	PUNCT
cte-300	78	1	the	the	DET
cte-300	78	2	purpose	purpose	NOUN
cte-300	78	3	of	of	ADP
cte-300	78	4	the	the	DET
cte-300	78	5	author	author	NOUN
cte-300	78	6	’s	’s	PART
cte-300	78	7	methodology	methodology	NOUN
cte-300	78	8	is	be	AUX
cte-300	78	9	to	to	PART
cte-300	78	10	form	form	VERB
cte-300	78	11	the	the	DET
cte-300	78	12	skill	skill	NOUN
cte-300	78	13	to	to	PART
cte-300	78	14	model	model	VERB
cte-300	78	15	interesting	interesting	ADJ
cte-300	78	16	curves	curve	NOUN
cte-300	78	17	using	use	VERB
cte-300	78	18	cloud	cloud	NOUN
cte-300	78	19	services	service	NOUN
cte-300	78	20	.	.	PUNCT
cte-300	79	1	interesting	interesting	ADJ
cte-300	79	2	curves	curve	NOUN
cte-300	79	3	of	of	ADP
cte-300	79	4	the	the	DET
cte-300	79	5	course	course	NOUN
cte-300	79	6	of	of	ADP
cte-300	79	7	analytical	analytical	ADJ
cte-300	79	8	geometry	geometry	NOUN
cte-300	79	9	are	be	AUX
cte-300	79	10	the	the	DET
cte-300	79	11	content	content	NOUN
cte-300	79	12	on	on	ADP
cte-300	79	13	which	which	PRON
cte-300	79	14	the	the	DET
cte-300	79	15	author	author	NOUN
cte-300	79	16	’s	’s	PART
cte-300	79	17	methodology	methodology	NOUN
cte-300	79	18	is	be	AUX
cte-300	79	19	realized	realize	VERB
cte-300	79	20	.	.	PUNCT
cte-300	80	1	nowadays	nowadays	ADV
cte-300	80	2	,	,	PUNCT
cte-300	80	3	their	their	PRON
cte-300	80	4	study	study	NOUN
cte-300	80	5	in	in	ADP
cte-300	80	6	the	the	DET
cte-300	80	7	classical	classical	ADJ
cte-300	80	8	course	course	NOUN
cte-300	80	9	of	of	ADP
cte-300	80	10	analytical	analytical	ADJ
cte-300	80	11	geometry	geometry	NOUN
cte-300	80	12	is	be	AUX
cte-300	80	13	possible	possible	ADJ
cte-300	80	14	in	in	ADP
cte-300	80	15	three	three	NUM
cte-300	80	16	ways	way	NOUN
cte-300	80	17	:	:	PUNCT
cte-300	80	18	462	462	NUM
cte-300	80	19	cte	cte	NOUN
cte-300	80	20	workshop	workshop	NOUN
cte-300	80	21	proceedings	proceeding	NOUN
cte-300	80	22	,	,	PUNCT
cte-300	80	23	2021	2021	NUM
cte-300	80	24	,	,	PUNCT
cte-300	80	25	vol	vol	NOUN
cte-300	80	26	.	.	NOUN
cte-300	80	27	8	8	NUM
cte-300	80	28	:	:	PUNCT
cte-300	80	29	cte-2020	cte-2020	NOUN
cte-300	80	30	,	,	PUNCT
cte-300	80	31	pp	pp	ADP
cte-300	80	32	.	.	PUNCT
cte-300	81	1	458	458	NUM
cte-300	81	2	-	-	SYM
cte-300	81	3	472	472	NUM
cte-300	81	4	•	•	NOUN
cte-300	81	5	analytical	analytical	ADJ
cte-300	81	6	description	description	NOUN
cte-300	81	7	and	and	CCONJ
cte-300	81	8	further	further	ADJ
cte-300	81	9	study	study	NOUN
cte-300	81	10	of	of	ADP
cte-300	81	11	curves	curve	NOUN
cte-300	81	12	–	–	PUNCT
cte-300	81	13	at	at	ADP
cte-300	81	14	first	first	ADJ
cte-300	81	15	analytical	analytical	ADJ
cte-300	81	16	(	(	PUNCT
cte-300	81	17	parametric	parametric	ADJ
cte-300	81	18	,	,	PUNCT
cte-300	81	19	implicit	implicit	ADJ
cte-300	81	20	,	,	PUNCT
cte-300	81	21	explicit	explicit	ADJ
cte-300	81	22	)	)	PUNCT
cte-300	81	23	equations	equation	NOUN
cte-300	81	24	,	,	PUNCT
cte-300	81	25	usually	usually	ADV
cte-300	81	26	of	of	ADP
cte-300	81	27	conics	conic	NOUN
cte-300	81	28	,	,	PUNCT
cte-300	81	29	are	be	AUX
cte-300	81	30	given	give	VERB
cte-300	81	31	and	and	CCONJ
cte-300	81	32	then	then	ADV
cte-300	81	33	they	they	PRON
cte-300	81	34	are	be	AUX
cte-300	81	35	investigated	investigate	VERB
cte-300	81	36	;	;	PUNCT
cte-300	81	37	•	•	NUM
cte-300	81	38	study	study	NOUN
cte-300	81	39	of	of	ADP
cte-300	81	40	curves	curve	NOUN
cte-300	81	41	as	as	ADP
cte-300	81	42	locus	locus	NOUN
cte-300	81	43	with	with	ADP
cte-300	81	44	a	a	DET
cte-300	81	45	given	give	VERB
cte-300	81	46	property	property	NOUN
cte-300	81	47	–	–	PUNCT
cte-300	81	48	at	at	ADP
cte-300	81	49	first	first	ADV
cte-300	81	50	the	the	DET
cte-300	81	51	geometric	geometric	ADJ
cte-300	81	52	definitions	definition	NOUN
cte-300	81	53	of	of	ADP
cte-300	81	54	curves	curve	NOUN
cte-300	81	55	are	be	AUX
cte-300	81	56	given	give	VERB
cte-300	81	57	,	,	PUNCT
cte-300	81	58	on	on	ADP
cte-300	81	59	the	the	DET
cte-300	81	60	basis	basis	NOUN
cte-300	81	61	of	of	ADP
cte-300	81	62	which	which	PRON
cte-300	81	63	their	their	PRON
cte-300	81	64	analytical	analytical	ADJ
cte-300	81	65	equations	equation	NOUN
cte-300	81	66	are	be	AUX
cte-300	81	67	written	write	VERB
cte-300	81	68	(	(	PUNCT
cte-300	81	69	as	as	ADP
cte-300	81	70	a	a	DET
cte-300	81	71	rule	rule	NOUN
cte-300	81	72	,	,	PUNCT
cte-300	81	73	these	these	PRON
cte-300	81	74	are	be	AUX
cte-300	81	75	conics	conic	NOUN
cte-300	81	76	,	,	PUNCT
cte-300	81	77	conchoid	conchoid	NOUN
cte-300	81	78	of	of	ADP
cte-300	81	79	nicomedes	nicomede	NOUN
cte-300	81	80	,	,	PUNCT
cte-300	81	81	limaçon	limaçon	NOUN
cte-300	81	82	of	of	ADP
cte-300	81	83	pascal	pascal	ADJ
cte-300	81	84	,	,	PUNCT
cte-300	81	85	strophoid	strophoid	NOUN
cte-300	81	86	,	,	PUNCT
cte-300	81	87	cissoid	cissoid	NOUN
cte-300	81	88	of	of	ADP
cte-300	81	89	diocles	diocle	NOUN
cte-300	81	90	,	,	PUNCT
cte-300	81	91	lemniscate	lemniscate	NOUN
cte-300	81	92	of	of	ADP
cte-300	81	93	bernoulli	bernoulli	PROPN
cte-300	81	94	,	,	PUNCT
cte-300	81	95	cassini	cassini	ADJ
cte-300	81	96	oval	oval	NOUN
cte-300	81	97	)	)	PUNCT
cte-300	81	98	;	;	PUNCT
cte-300	81	99	•	•	NUM
cte-300	81	100	study	study	NOUN
cte-300	81	101	of	of	ADP
cte-300	81	102	curves	curve	NOUN
cte-300	81	103	generated	generate	VERB
cte-300	81	104	in	in	ADP
cte-300	81	105	the	the	DET
cte-300	81	106	kinematic	kinematic	ADJ
cte-300	81	107	way	way	NOUN
cte-300	81	108	(	(	PUNCT
cte-300	81	109	as	as	ADP
cte-300	81	110	the	the	DET
cte-300	81	111	trajectory	trajectory	NOUN
cte-300	81	112	of	of	ADP
cte-300	81	113	a	a	DET
cte-300	81	114	point	point	NOUN
cte-300	81	115	)	)	PUNCT
cte-300	81	116	,	,	PUNCT
cte-300	81	117	usually	usually	ADV
cte-300	81	118	cycloidal	cycloidal	ADJ
cte-300	81	119	curves	curve	NOUN
cte-300	81	120	,	,	PUNCT
cte-300	81	121	folium	folium	NOUN
cte-300	81	122	of	of	ADP
cte-300	81	123	descartes	descartes	PROPN
cte-300	81	124	,	,	PUNCT
cte-300	81	125	witch	witch	NOUN
cte-300	81	126	of	of	ADP
cte-300	81	127	agnesi	agnesi	NOUN
cte-300	81	128	,	,	PUNCT
cte-300	81	129	logarithmic	logarithmic	ADJ
cte-300	81	130	spiral	spiral	NOUN
cte-300	81	131	.	.	PUNCT
cte-300	82	1	due	due	ADP
cte-300	82	2	to	to	ADP
cte-300	82	3	lack	lack	NOUN
cte-300	82	4	of	of	ADP
cte-300	82	5	time	time	NOUN
cte-300	82	6	,	,	PUNCT
cte-300	82	7	there	there	PRON
cte-300	82	8	is	be	VERB
cte-300	82	9	only	only	ADV
cte-300	82	10	the	the	DET
cte-300	82	11	first	first	ADJ
cte-300	82	12	way	way	NOUN
cte-300	82	13	of	of	ADP
cte-300	82	14	the	the	DET
cte-300	82	15	study	study	NOUN
cte-300	82	16	of	of	ADP
cte-300	82	17	interesting	interesting	ADJ
cte-300	82	18	curves	curve	NOUN
cte-300	82	19	in	in	ADP
cte-300	82	20	the	the	DET
cte-300	82	21	course	course	NOUN
cte-300	82	22	of	of	ADP
cte-300	82	23	analytical	analytical	ADJ
cte-300	82	24	geometry	geometry	NOUN
cte-300	82	25	at	at	ADP
cte-300	82	26	universities	university	NOUN
cte-300	82	27	.	.	PUNCT
cte-300	83	1	this	this	PRON
cte-300	83	2	limits	limit	VERB
cte-300	83	3	the	the	DET
cte-300	83	4	possibility	possibility	NOUN
cte-300	83	5	to	to	PART
cte-300	83	6	develop	develop	VERB
cte-300	83	7	the	the	DET
cte-300	83	8	skills	skill	NOUN
cte-300	83	9	to	to	ADP
cte-300	83	10	model	model	NOUN
cte-300	83	11	mathematical	mathematical	ADJ
cte-300	83	12	objects	object	NOUN
cte-300	83	13	.	.	PUNCT
cte-300	84	1	the	the	DET
cte-300	84	2	form	form	NOUN
cte-300	84	3	of	of	ADP
cte-300	84	4	realization	realization	NOUN
cte-300	84	5	of	of	ADP
cte-300	84	6	the	the	DET
cte-300	84	7	author	author	NOUN
cte-300	84	8	’s	’s	PART
cte-300	84	9	methodology	methodology	NOUN
cte-300	84	10	is	be	AUX
cte-300	84	11	virtual	virtual	ADJ
cte-300	84	12	lecture	lecture	NOUN
cte-300	84	13	-	-	PUNCT
cte-300	84	14	practical	practical	ADJ
cte-300	84	15	classes	class	NOUN
cte-300	84	16	or	or	CCONJ
cte-300	84	17	a	a	DET
cte-300	84	18	combination	combination	NOUN
cte-300	84	19	of	of	ADP
cte-300	84	20	visualized	visualize	VERB
cte-300	84	21	lectures	lecture	NOUN
cte-300	84	22	and	and	CCONJ
cte-300	84	23	virtual	virtual	ADJ
cte-300	84	24	laboratory	laboratory	NOUN
cte-300	84	25	classes	class	NOUN
cte-300	84	26	.	.	PUNCT
cte-300	85	1	among	among	ADP
cte-300	85	2	the	the	DET
cte-300	85	3	teaching	teaching	NOUN
cte-300	85	4	methods	method	NOUN
cte-300	85	5	problem	problem	NOUN
cte-300	85	6	method	method	NOUN
cte-300	85	7	and	and	CCONJ
cte-300	85	8	netnography	netnography	NOUN
cte-300	85	9	method	method	NOUN
cte-300	85	10	are	be	AUX
cte-300	85	11	used	use	VERB
cte-300	85	12	.	.	PUNCT
cte-300	86	1	geogebra	geogebra	NOUN
cte-300	86	2	cloud	cloud	PROPN
cte-300	86	3	service	service	NOUN
cte-300	86	4	,	,	PUNCT
cte-300	86	5	constructive	constructive	ADJ
cte-300	86	6	tasks	task	NOUN
cte-300	86	7	and	and	CCONJ
cte-300	86	8	instructional	instructional	ADJ
cte-300	86	9	materials	material	NOUN
cte-300	86	10	are	be	AUX
cte-300	86	11	learning	learn	VERB
cte-300	86	12	means	mean	NOUN
cte-300	86	13	.	.	PUNCT
cte-300	87	1	elementary	elementary	ADJ
cte-300	87	2	knowledge	knowledge	NOUN
cte-300	87	3	in	in	ADP
cte-300	87	4	analytical	analytical	ADJ
cte-300	87	5	geometry	geometry	NOUN
cte-300	87	6	is	be	AUX
cte-300	87	7	required	require	VERB
cte-300	87	8	to	to	PART
cte-300	87	9	use	use	VERB
cte-300	87	10	the	the	DET
cte-300	87	11	author	author	NOUN
cte-300	87	12	’s	’s	PART
cte-300	87	13	methodology	methodology	NOUN
cte-300	87	14	.	.	PUNCT
cte-300	88	1	in	in	ADP
cte-300	88	2	general	general	ADJ
cte-300	88	3	,	,	PUNCT
cte-300	88	4	the	the	DET
cte-300	88	5	methodology	methodology	NOUN
cte-300	88	6	of	of	ADP
cte-300	88	7	forming	form	VERB
cte-300	88	8	the	the	DET
cte-300	88	9	skills	skill	NOUN
cte-300	88	10	to	to	AUX
cte-300	88	11	model	model	VERB
cte-300	88	12	interesting	interesting	ADJ
cte-300	88	13	curves	curve	NOUN
cte-300	88	14	is	be	AUX
cte-300	88	15	as	as	SCONJ
cte-300	88	16	follows	follow	VERB
cte-300	88	17	:	:	PUNCT
cte-300	88	18	the	the	DET
cte-300	88	19	teacher	teacher	NOUN
cte-300	88	20	on	on	ADP
cte-300	88	21	a	a	DET
cte-300	88	22	common	common	ADJ
cte-300	88	23	online	online	ADJ
cte-300	88	24	platform	platform	NOUN
cte-300	88	25	informs	inform	VERB
cte-300	88	26	about	about	ADP
cte-300	88	27	constructive	constructive	ADJ
cte-300	88	28	approaches	approach	NOUN
cte-300	88	29	to	to	ADP
cte-300	88	30	the	the	DET
cte-300	88	31	construction	construction	NOUN
cte-300	88	32	of	of	ADP
cte-300	88	33	various	various	ADJ
cte-300	88	34	curves	curve	NOUN
cte-300	88	35	,	,	PUNCT
cte-300	88	36	which	which	PRON
cte-300	88	37	were	be	AUX
cte-300	88	38	studied	study	VERB
cte-300	88	39	in	in	ADP
cte-300	88	40	ancient	ancient	ADJ
cte-300	88	41	times	time	NOUN
cte-300	88	42	(	(	PUNCT
cte-300	88	43	the	the	DET
cte-300	88	44	netnography	netnography	NOUN
cte-300	88	45	method	method	NOUN
cte-300	88	46	)	)	PUNCT
cte-300	88	47	.	.	PUNCT
cte-300	89	1	he	he	PRON
cte-300	89	2	briefly	briefly	ADV
cte-300	89	3	tells	tell	VERB
cte-300	89	4	about	about	ADP
cte-300	89	5	how	how	SCONJ
cte-300	89	6	such	such	ADJ
cte-300	89	7	constructions	construction	NOUN
cte-300	89	8	were	be	AUX
cte-300	89	9	done	do	VERB
cte-300	89	10	(	(	PUNCT
cte-300	89	11	compass	compass	ADJ
cte-300	89	12	and	and	CCONJ
cte-300	89	13	ruler	ruler	NOUN
cte-300	89	14	,	,	PUNCT
cte-300	89	15	one	one	NUM
cte-300	89	16	compass	compass	NOUN
cte-300	89	17	,	,	PUNCT
cte-300	89	18	two	two	NUM
cte-300	89	19	compasses	compass	NOUN
cte-300	89	20	,	,	PUNCT
cte-300	89	21	one	one	NUM
cte-300	89	22	or	or	CCONJ
cte-300	89	23	two	two	NUM
cte-300	89	24	rulers	ruler	NOUN
cte-300	89	25	,	,	PUNCT
cte-300	89	26	etc	etc	X
cte-300	89	27	.	.	X
cte-300	89	28	)	)	PUNCT
cte-300	89	29	,	,	PUNCT
cte-300	89	30	or	or	CCONJ
cte-300	89	31	gives	give	VERB
cte-300	89	32	an	an	DET
cte-300	89	33	example	example	NOUN
cte-300	89	34	of	of	ADP
cte-300	89	35	practically	practically	ADV
cte-300	89	36	oriented	orient	VERB
cte-300	89	37	problems	problem	NOUN
cte-300	89	38	that	that	PRON
cte-300	89	39	are	be	AUX
cte-300	89	40	solved	solve	VERB
cte-300	89	41	using	use	VERB
cte-300	89	42	interesting	interesting	ADJ
cte-300	89	43	curves	curve	NOUN
cte-300	89	44	.	.	PUNCT
cte-300	90	1	after	after	ADP
cte-300	90	2	that	that	PRON
cte-300	90	3	,	,	PUNCT
cte-300	90	4	the	the	DET
cte-300	90	5	teacher	teacher	NOUN
cte-300	90	6	demonstrates	demonstrate	VERB
cte-300	90	7	one	one	NUM
cte-300	90	8	of	of	ADP
cte-300	90	9	the	the	DET
cte-300	90	10	described	describe	VERB
cte-300	90	11	constructions	construction	NOUN
cte-300	90	12	in	in	ADP
cte-300	90	13	geogebra	geogebra	NOUN
cte-300	90	14	cloud	cloud	NOUN
cte-300	90	15	service	service	NOUN
cte-300	90	16	,	,	PUNCT
cte-300	90	17	and	and	CCONJ
cte-300	90	18	then	then	ADV
cte-300	90	19	asks	ask	VERB
cte-300	90	20	students	student	NOUN
cte-300	90	21	to	to	PART
cte-300	90	22	write	write	VERB
cte-300	90	23	an	an	DET
cte-300	90	24	algorithm	algorithm	NOUN
cte-300	90	25	for	for	ADP
cte-300	90	26	the	the	DET
cte-300	90	27	above	above	ADJ
cte-300	90	28	construction	construction	NOUN
cte-300	90	29	(	(	PUNCT
cte-300	90	30	the	the	DET
cte-300	90	31	problem	problem	NOUN
cte-300	90	32	method	method	NOUN
cte-300	90	33	)	)	PUNCT
cte-300	90	34	.	.	PUNCT
cte-300	91	1	then	then	ADV
cte-300	91	2	the	the	DET
cte-300	91	3	teacher	teacher	NOUN
cte-300	91	4	asks	ask	VERB
cte-300	91	5	students	student	NOUN
cte-300	91	6	according	accord	VERB
cte-300	91	7	to	to	ADP
cte-300	91	8	the	the	DET
cte-300	91	9	algorithm	algorithm	NOUN
cte-300	91	10	(	(	PUNCT
cte-300	91	11	provided	provide	VERB
cte-300	91	12	to	to	ADP
cte-300	91	13	each	each	DET
cte-300	91	14	student	student	NOUN
cte-300	91	15	)	)	PUNCT
cte-300	91	16	to	to	PART
cte-300	91	17	reproduce	reproduce	VERB
cte-300	91	18	the	the	DET
cte-300	91	19	construction	construction	NOUN
cte-300	91	20	and	and	CCONJ
cte-300	91	21	demonstrate	demonstrate	VERB
cte-300	91	22	the	the	DET
cte-300	91	23	result	result	NOUN
cte-300	91	24	,	,	PUNCT
cte-300	91	25	to	to	PART
cte-300	91	26	analyze	analyze	VERB
cte-300	91	27	errors	error	NOUN
cte-300	91	28	,	,	PUNCT
cte-300	91	29	and	and	CCONJ
cte-300	91	30	if	if	SCONJ
cte-300	91	31	not	not	PART
cte-300	91	32	,	,	PUNCT
cte-300	91	33	to	to	PART
cte-300	91	34	analyze	analyze	VERB
cte-300	91	35	possible	possible	ADJ
cte-300	91	36	limit	limit	NOUN
cte-300	91	37	cases	case	NOUN
cte-300	91	38	.	.	PUNCT
cte-300	92	1	after	after	ADP
cte-300	92	2	that	that	PRON
cte-300	92	3	,	,	PUNCT
cte-300	92	4	students	student	NOUN
cte-300	92	5	are	be	AUX
cte-300	92	6	offered	offer	VERB
cte-300	92	7	the	the	DET
cte-300	92	8	definition	definition	NOUN
cte-300	92	9	of	of	ADP
cte-300	92	10	curves	curve	NOUN
cte-300	92	11	generated	generate	VERB
cte-300	92	12	in	in	ADP
cte-300	92	13	mechanical	mechanical	ADJ
cte-300	92	14	way	way	NOUN
cte-300	92	15	together	together	ADV
cte-300	92	16	with	with	ADP
cte-300	92	17	the	the	DET
cte-300	92	18	algorithms	algorithm	NOUN
cte-300	92	19	of	of	ADP
cte-300	92	20	their	their	PRON
cte-300	92	21	construction	construction	NOUN
cte-300	92	22	in	in	ADP
cte-300	92	23	the	the	DET
cte-300	92	24	cloud	cloud	NOUN
cte-300	92	25	service	service	NOUN
cte-300	92	26	;	;	PUNCT
cte-300	92	27	students	student	NOUN
cte-300	92	28	must	must	AUX
cte-300	92	29	model	model	VERB
cte-300	92	30	this	this	DET
cte-300	92	31	type	type	NOUN
cte-300	92	32	of	of	ADP
cte-300	92	33	curve	curve	NOUN
cte-300	92	34	according	accord	VERB
cte-300	92	35	to	to	ADP
cte-300	92	36	the	the	DET
cte-300	92	37	existing	exist	VERB
cte-300	92	38	algorithm	algorithm	NOUN
cte-300	92	39	.	.	PUNCT
cte-300	93	1	then	then	ADV
cte-300	93	2	together	together	ADV
cte-300	93	3	with	with	ADP
cte-300	93	4	students	student	NOUN
cte-300	93	5	,	,	PUNCT
cte-300	93	6	the	the	DET
cte-300	93	7	task	task	NOUN
cte-300	93	8	of	of	ADP
cte-300	93	9	the	the	DET
cte-300	93	10	following	follow	VERB
cte-300	93	11	type	type	NOUN
cte-300	93	12	is	be	AUX
cte-300	93	13	carried	carry	VERB
cte-300	93	14	out	out	ADP
cte-300	93	15	:	:	PUNCT
cte-300	93	16	algorithms	algorithm	NOUN
cte-300	93	17	of	of	ADP
cte-300	93	18	curves	curve	NOUN
cte-300	93	19	construction	construction	NOUN
cte-300	93	20	are	be	AUX
cte-300	93	21	offered	offer	VERB
cte-300	93	22	and	and	CCONJ
cte-300	93	23	after	after	ADP
cte-300	93	24	their	their	PRON
cte-300	93	25	construction	construction	NOUN
cte-300	93	26	,	,	PUNCT
cte-300	93	27	students	student	NOUN
cte-300	93	28	need	need	VERB
cte-300	93	29	to	to	PART
cte-300	93	30	characterize	characterize	VERB
cte-300	93	31	properties	property	NOUN
cte-300	93	32	of	of	ADP
cte-300	93	33	the	the	DET
cte-300	93	34	modeled	model	VERB
cte-300	93	35	curves	curve	NOUN
cte-300	93	36	,	,	PUNCT
cte-300	93	37	to	to	PART
cte-300	93	38	give	give	VERB
cte-300	93	39	them	they	PRON
cte-300	93	40	definitions	definition	NOUN
cte-300	93	41	or	or	CCONJ
cte-300	93	42	kinematic	kinematic	ADJ
cte-300	93	43	characteristics	characteristic	NOUN
cte-300	93	44	.	.	PUNCT
cte-300	94	1	after	after	ADP
cte-300	94	2	completing	complete	VERB
cte-300	94	3	this	this	DET
cte-300	94	4	type	type	NOUN
cte-300	94	5	of	of	ADP
cte-300	94	6	task	task	NOUN
cte-300	94	7	,	,	PUNCT
cte-300	94	8	students	student	NOUN
cte-300	94	9	are	be	AUX
cte-300	94	10	offered	offer	VERB
cte-300	94	11	only	only	ADV
cte-300	94	12	the	the	DET
cte-300	94	13	definition	definition	NOUN
cte-300	94	14	of	of	ADP
cte-300	94	15	the	the	DET
cte-300	94	16	curves	curve	NOUN
cte-300	94	17	or	or	CCONJ
cte-300	94	18	their	their	PRON
cte-300	94	19	kinematic	kinematic	ADJ
cte-300	94	20	characteristics	characteristic	NOUN
cte-300	94	21	,	,	PUNCT
cte-300	94	22	and	and	CCONJ
cte-300	94	23	they	they	PRON
cte-300	94	24	must	must	AUX
cte-300	94	25	model	model	VERB
cte-300	94	26	the	the	DET
cte-300	94	27	curve	curve	NOUN
cte-300	94	28	themselves	themselves	PRON
cte-300	94	29	.	.	PUNCT
cte-300	95	1	the	the	DET
cte-300	95	2	methodology	methodology	NOUN
cte-300	95	3	should	should	AUX
cte-300	95	4	be	be	AUX
cte-300	95	5	briefly	briefly	ADV
cte-300	95	6	described	describe	VERB
cte-300	95	7	as	as	ADP
cte-300	95	8	follows	follow	VERB
cte-300	95	9	.	.	PUNCT
cte-300	96	1	step	step	NOUN
cte-300	96	2	1	1	NUM
cte-300	96	3	–	–	PUNCT
cte-300	96	4	the	the	DET
cte-300	96	5	teacher	teacher	NOUN
cte-300	96	6	offers	offer	VERB
cte-300	96	7	an	an	DET
cte-300	96	8	example	example	NOUN
cte-300	96	9	of	of	ADP
cte-300	96	10	a	a	DET
cte-300	96	11	curve	curve	NOUN
cte-300	96	12	model	model	NOUN
cte-300	96	13	through	through	ADP
cte-300	96	14	the	the	DET
cte-300	96	15	definition	definition	NOUN
cte-300	96	16	(	(	PUNCT
cte-300	96	17	the	the	DET
cte-300	96	18	teacher	teacher	NOUN
cte-300	96	19	step	step	NOUN
cte-300	96	20	by	by	ADP
cte-300	96	21	step	step	NOUN
cte-300	96	22	models	model	NOUN
cte-300	96	23	the	the	DET
cte-300	96	24	curve	curve	NOUN
cte-300	96	25	)	)	PUNCT
cte-300	96	26	,	,	PUNCT
cte-300	96	27	and	and	CCONJ
cte-300	96	28	students	student	NOUN
cte-300	96	29	must	must	AUX
cte-300	96	30	independently	independently	ADV
cte-300	96	31	compile	compile	VERB
cte-300	96	32	an	an	DET
cte-300	96	33	algorithm	algorithm	NOUN
cte-300	96	34	for	for	ADP
cte-300	96	35	constructing	construct	VERB
cte-300	96	36	the	the	DET
cte-300	96	37	model	model	NOUN
cte-300	96	38	.	.	PUNCT
cte-300	97	1	step	step	NOUN
cte-300	97	2	2	2	NUM
cte-300	97	3	–	–	PUNCT
cte-300	97	4	the	the	DET
cte-300	97	5	teacher	teacher	NOUN
cte-300	97	6	offers	offer	VERB
cte-300	97	7	a	a	DET
cte-300	97	8	description	description	NOUN
cte-300	97	9	-	-	PUNCT
cte-300	97	10	definition	definition	NOUN
cte-300	97	11	of	of	ADP
cte-300	97	12	the	the	DET
cte-300	97	13	curve	curve	NOUN
cte-300	97	14	and	and	CCONJ
cte-300	97	15	provides	provide	VERB
cte-300	97	16	a	a	DET
cte-300	97	17	ready	ready	ADV
cte-300	97	18	-	-	PUNCT
cte-300	97	19	made	make	VERB
cte-300	97	20	algorithm	algorithm	NOUN
cte-300	97	21	according	accord	VERB
cte-300	97	22	to	to	ADP
cte-300	97	23	which	which	PRON
cte-300	97	24	students	student	NOUN
cte-300	97	25	model	model	VERB
cte-300	97	26	the	the	DET
cte-300	97	27	curve	curve	NOUN
cte-300	97	28	independently	independently	ADV
cte-300	97	29	.	.	PUNCT
cte-300	98	1	step	step	NOUN
cte-300	98	2	3	3	NUM
cte-300	98	3	–	–	PUNCT
cte-300	98	4	the	the	DET
cte-300	98	5	teacher	teacher	NOUN
cte-300	98	6	offers	offer	VERB
cte-300	98	7	an	an	DET
cte-300	98	8	algorithm	algorithm	NOUN
cte-300	98	9	for	for	ADP
cte-300	98	10	constructing	construct	VERB
cte-300	98	11	a	a	DET
cte-300	98	12	curve	curve	NOUN
cte-300	98	13	model	model	NOUN
cte-300	98	14	,	,	PUNCT
cte-300	98	15	and	and	CCONJ
cte-300	98	16	students	student	NOUN
cte-300	98	17	need	need	VERB
cte-300	98	18	to	to	PART
cte-300	98	19	characterize	characterize	VERB
cte-300	98	20	the	the	DET
cte-300	98	21	properties	property	NOUN
cte-300	98	22	of	of	ADP
cte-300	98	23	the	the	DET
cte-300	98	24	curve	curve	NOUN
cte-300	98	25	or	or	CCONJ
cte-300	98	26	give	give	VERB
cte-300	98	27	its	its	PRON
cte-300	98	28	definition	definition	NOUN
cte-300	98	29	based	base	VERB
cte-300	98	30	on	on	ADP
cte-300	98	31	the	the	DET
cte-300	98	32	results	result	NOUN
cte-300	98	33	.	.	PUNCT
cte-300	99	1	step	step	NOUN
cte-300	99	2	4	4	NUM
cte-300	99	3	–	–	PUNCT
cte-300	99	4	students	student	NOUN
cte-300	99	5	are	be	AUX
cte-300	99	6	offered	offer	VERB
cte-300	99	7	definitions	definition	NOUN
cte-300	99	8	of	of	ADP
cte-300	99	9	curves	curve	NOUN
cte-300	99	10	that	that	SCONJ
cte-300	99	11	they	they	PRON
cte-300	99	12	have	have	VERB
cte-300	99	13	to	to	PART
cte-300	99	14	model	model	VERB
cte-300	99	15	them	they	PRON
cte-300	99	16	.	.	PUNCT
cte-300	100	1	463	463	NUM
cte-300	100	2	cte	cte	NOUN
cte-300	100	3	workshop	workshop	NOUN
cte-300	100	4	proceedings	proceeding	NOUN
cte-300	100	5	,	,	PUNCT
cte-300	100	6	2021	2021	NUM
cte-300	100	7	,	,	PUNCT
cte-300	100	8	vol	vol	NOUN
cte-300	100	9	.	.	NOUN
cte-300	100	10	8	8	NUM
cte-300	100	11	:	:	PUNCT
cte-300	100	12	cte-2020	cte-2020	NOUN
cte-300	100	13	,	,	PUNCT
cte-300	100	14	pp	pp	ADP
cte-300	100	15	.	.	PUNCT
cte-300	101	1	458	458	NUM
cte-300	101	2	-	-	SYM
cte-300	101	3	472	472	NUM
cte-300	101	4	we	we	PRON
cte-300	101	5	will	will	AUX
cte-300	101	6	briefly	briefly	ADV
cte-300	101	7	demonstrate	demonstrate	VERB
cte-300	101	8	the	the	DET
cte-300	101	9	application	application	NOUN
cte-300	101	10	of	of	ADP
cte-300	101	11	the	the	DET
cte-300	101	12	methodology	methodology	NOUN
cte-300	101	13	of	of	ADP
cte-300	101	14	forming	form	VERB
cte-300	101	15	the	the	DET
cte-300	101	16	skiils	skiil	NOUN
cte-300	101	17	to	to	PART
cte-300	101	18	model	model	VERB
cte-300	101	19	interesting	interesting	ADJ
cte-300	101	20	curves	curve	NOUN
cte-300	101	21	based	base	VERB
cte-300	101	22	on	on	ADP
cte-300	101	23	a	a	DET
cte-300	101	24	constructive	constructive	ADJ
cte-300	101	25	approach	approach	NOUN
cte-300	101	26	in	in	ADP
cte-300	101	27	geogebra	geogebra	NOUN
cte-300	101	28	cloud	cloud	NOUN
cte-300	101	29	service	service	NOUN
cte-300	101	30	on	on	ADP
cte-300	101	31	the	the	DET
cte-300	101	32	example	example	NOUN
cte-300	101	33	of	of	ADP
cte-300	101	34	the	the	DET
cte-300	101	35	hypocycloids	hypocycloids	PROPN
cte-300	101	36	study	study	NOUN
cte-300	101	37	.	.	PUNCT
cte-300	102	1	the	the	DET
cte-300	102	2	teacher	teacher	NOUN
cte-300	102	3	formulates	formulate	VERB
cte-300	102	4	the	the	DET
cte-300	102	5	problem	problem	NOUN
cte-300	102	6	.	.	PUNCT
cte-300	103	1	the	the	DET
cte-300	103	2	calculation	calculation	NOUN
cte-300	103	3	of	of	ADP
cte-300	103	4	the	the	DET
cte-300	103	5	action	action	NOUN
cte-300	103	6	of	of	ADP
cte-300	103	7	the	the	DET
cte-300	103	8	kneading	kneading	NOUN
cte-300	103	9	machine	machine	NOUN
cte-300	103	10	consists	consist	VERB
cte-300	103	11	of	of	ADP
cte-300	103	12	a	a	DET
cte-300	103	13	description	description	NOUN
cte-300	103	14	of	of	ADP
cte-300	103	15	the	the	DET
cte-300	103	16	trajectory	trajectory	NOUN
cte-300	103	17	of	of	ADP
cte-300	103	18	the	the	DET
cte-300	103	19	point	point	NOUN
cte-300	103	20	belonging	belong	VERB
cte-300	103	21	to	to	ADP
cte-300	103	22	the	the	DET
cte-300	103	23	working	work	VERB
cte-300	103	24	body	body	NOUN
cte-300	103	25	.	.	PUNCT
cte-300	104	1	the	the	DET
cte-300	104	2	trajectory	trajectory	NOUN
cte-300	104	3	of	of	ADP
cte-300	104	4	the	the	DET
cte-300	104	5	working	work	VERB
cte-300	104	6	body	body	NOUN
cte-300	104	7	does	do	AUX
cte-300	104	8	not	not	PART
cte-300	104	9	always	always	ADV
cte-300	104	10	fill	fill	VERB
cte-300	104	11	the	the	DET
cte-300	104	12	container	container	NOUN
cte-300	104	13	with	with	ADP
cte-300	104	14	the	the	DET
cte-300	104	15	substance	substance	NOUN
cte-300	104	16	,	,	PUNCT
cte-300	104	17	as	as	ADP
cte-300	104	18	a	a	DET
cte-300	104	19	result	result	NOUN
cte-300	104	20	,	,	PUNCT
cte-300	104	21	the	the	DET
cte-300	104	22	mixing	mixing	NOUN
cte-300	104	23	time	time	NOUN
cte-300	104	24	increases	increase	NOUN
cte-300	104	25	,	,	PUNCT
cte-300	104	26	which	which	PRON
cte-300	104	27	leads	lead	VERB
cte-300	104	28	to	to	ADP
cte-300	104	29	unnecessary	unnecessary	ADJ
cte-300	104	30	energy	energy	NOUN
cte-300	104	31	consumption	consumption	NOUN
cte-300	104	32	.	.	PUNCT
cte-300	105	1	determine	determine	VERB
cte-300	105	2	the	the	DET
cte-300	105	3	optimal	optimal	ADJ
cte-300	105	4	trajectory	trajectory	NOUN
cte-300	105	5	of	of	ADP
cte-300	105	6	the	the	DET
cte-300	105	7	point	point	NOUN
cte-300	105	8	of	of	ADP
cte-300	105	9	the	the	DET
cte-300	105	10	mixer	mixer	NOUN
cte-300	105	11	working	work	VERB
cte-300	105	12	body	body	NOUN
cte-300	105	13	[	[	X
cte-300	105	14	8	8	NUM
cte-300	105	15	]	]	PUNCT
cte-300	105	16	.	.	PUNCT
cte-300	106	1	history	history	NOUN
cte-300	106	2	of	of	ADP
cte-300	106	3	the	the	DET
cte-300	106	4	curve	curve	NOUN
cte-300	106	5	discovery	discovery	PROPN
cte-300	106	6	(	(	PUNCT
cte-300	106	7	netnography	netnography	NOUN
cte-300	106	8	method	method	NOUN
cte-300	106	9	)	)	PUNCT
cte-300	106	10	.	.	PUNCT
cte-300	107	1	hypocycloid	hypocycloid	PROPN
cte-300	107	2	(	(	PUNCT
cte-300	107	3	from	from	ADP
cte-300	107	4	greek	greek	ADJ
cte-300	107	5	words	word	NOUN
cte-300	107	6	𝜐𝜋𝑜	𝜐𝜋𝑜	INTJ
cte-300	107	7	–	–	PUNCT
cte-300	107	8	“	"	PUNCT
cte-300	107	9	under	under	ADP
cte-300	107	10	,	,	PUNCT
cte-300	107	11	below	below	ADV
cte-300	107	12	”	"	PUNCT
cte-300	107	13	and	and	CCONJ
cte-300	107	14	𝜅𝜐𝜅𝜆𝑜𝜁	𝜅𝜐𝜅𝜆𝑜𝜁	NOUN
cte-300	107	15	–	–	PUNCT
cte-300	107	16	“	"	PUNCT
cte-300	107	17	circle	circle	NOUN
cte-300	107	18	”	"	PUNCT
cte-300	107	19	)	)	PUNCT
cte-300	107	20	–	–	PUNCT
cte-300	107	21	is	be	AUX
cte-300	107	22	a	a	DET
cte-300	107	23	curve	curve	NOUN
cte-300	107	24	“	"	PUNCT
cte-300	107	25	under	under	ADP
cte-300	107	26	the	the	DET
cte-300	107	27	circle	circle	NOUN
cte-300	107	28	”	"	PUNCT
cte-300	107	29	.	.	PUNCT
cte-300	108	1	the	the	DET
cte-300	108	2	most	most	ADV
cte-300	108	3	famous	famous	ADJ
cte-300	108	4	hypocycloids	hypocycloid	NOUN
cte-300	108	5	are	be	AUX
cte-300	108	6	the	the	DET
cte-300	108	7	astroid	astroid	NOUN
cte-300	108	8	(	(	PUNCT
cte-300	108	9	from	from	ADP
cte-300	108	10	greek	greek	ADJ
cte-300	108	11	“	"	PUNCT
cte-300	108	12	star	star	NOUN
cte-300	108	13	-	-	PUNCT
cte-300	108	14	shaped	shape	VERB
cte-300	108	15	”	"	PUNCT
cte-300	108	16	)	)	PUNCT
cte-300	108	17	and	and	CCONJ
cte-300	108	18	the	the	DET
cte-300	108	19	deltoid	deltoid	NOUN
cte-300	108	20	(	(	PUNCT
cte-300	108	21	steiner	steiner	NOUN
cte-300	108	22	curve	curve	NOUN
cte-300	108	23	)	)	PUNCT
cte-300	108	24	.	.	PUNCT
cte-300	109	1	the	the	DET
cte-300	109	2	name	name	NOUN
cte-300	109	3	of	of	ADP
cte-300	109	4	the	the	DET
cte-300	109	5	astroid	astroid	NOUN
cte-300	109	6	(	(	PUNCT
cte-300	109	7	from	from	ADP
cte-300	109	8	“	"	PUNCT
cte-300	109	9	cusp	cusp	NOUN
cte-300	109	10	”	"	PUNCT
cte-300	109	11	–	–	PUNCT
cte-300	109	12	exacerbation	exacerbation	NOUN
cte-300	109	13	)	)	PUNCT
cte-300	109	14	was	be	AUX
cte-300	109	15	proposed	propose	VERB
cte-300	109	16	by	by	ADP
cte-300	109	17	the	the	DET
cte-300	109	18	austrian	austrian	ADJ
cte-300	109	19	astronomer	astronomer	PROPN
cte-300	109	20	carl	carl	PROPN
cte-300	109	21	-	-	PUNCT
cte-300	109	22	ludwig	ludwig	PROPN
cte-300	109	23	von	von	PROPN
cte-300	109	24	littrow	littrow	PROPN
cte-300	109	25	(	(	PUNCT
cte-300	109	26	1811–1877	1811–1877	NUM
cte-300	109	27	)	)	PUNCT
cte-300	109	28	.	.	PUNCT
cte-300	110	1	the	the	DET
cte-300	110	2	shape	shape	NOUN
cte-300	110	3	of	of	ADP
cte-300	110	4	the	the	DET
cte-300	110	5	deltoid	deltoid	NOUN
cte-300	110	6	resembles	resemble	VERB
cte-300	110	7	the	the	DET
cte-300	110	8	capital	capital	NOUN
cte-300	110	9	greek	greek	PROPN
cte-300	110	10	letter	letter	NOUN
cte-300	110	11	delta	delta	PROPN
cte-300	110	12	,	,	PUNCT
cte-300	110	13	its	its	PRON
cte-300	110	14	properties	property	NOUN
cte-300	110	15	were	be	AUX
cte-300	110	16	studied	study	VERB
cte-300	110	17	by	by	ADP
cte-300	110	18	leonard	leonard	PROPN
cte-300	110	19	euler	euler	PROPN
cte-300	110	20	in	in	ADP
cte-300	110	21	the	the	DET
cte-300	110	22	xviii	xviii	ADJ
cte-300	110	23	century	century	NOUN
cte-300	110	24	,	,	PUNCT
cte-300	110	25	and	and	CCONJ
cte-300	110	26	then	then	ADV
cte-300	110	27	by	by	ADP
cte-300	110	28	jacob	jacob	PROPN
cte-300	110	29	steiner	steiner	PROPN
cte-300	110	30	in	in	ADP
cte-300	110	31	1856	1856	NUM
cte-300	110	32	,	,	PUNCT
cte-300	110	33	after	after	ADP
cte-300	110	34	whom	whom	PRON
cte-300	110	35	it	it	PRON
cte-300	110	36	was	be	AUX
cte-300	110	37	renamed	rename	VERB
cte-300	110	38	the	the	DET
cte-300	110	39	steiner	steiner	PROPN
cte-300	110	40	curve	curve	NOUN
cte-300	110	41	.	.	PUNCT
cte-300	111	1	definition	definition	NOUN
cte-300	111	2	of	of	ADP
cte-300	111	3	the	the	DET
cte-300	111	4	curve	curve	NOUN
cte-300	111	5	.	.	PUNCT
cte-300	112	1	a	a	DET
cte-300	112	2	hypocycloid	hypocycloid	NOUN
cte-300	112	3	is	be	AUX
cte-300	112	4	a	a	DET
cte-300	112	5	curve	curve	NOUN
cte-300	112	6	generated	generate	VERB
cte-300	112	7	by	by	ADP
cte-300	112	8	the	the	DET
cte-300	112	9	trace	trace	NOUN
cte-300	112	10	of	of	ADP
cte-300	112	11	a	a	DET
cte-300	112	12	fixed	fix	VERB
cte-300	112	13	point	point	NOUN
cte-300	112	14	on	on	ADP
cte-300	112	15	a	a	DET
cte-300	112	16	small	small	ADJ
cte-300	112	17	circle	circle	NOUN
cte-300	112	18	that	that	PRON
cte-300	112	19	rolls	roll	VERB
cte-300	112	20	within	within	ADP
cte-300	112	21	a	a	DET
cte-300	112	22	larger	large	ADJ
cte-300	112	23	circle	circle	NOUN
cte-300	112	24	.	.	PUNCT
cte-300	113	1	next	next	ADV
cte-300	113	2	,	,	PUNCT
cte-300	113	3	the	the	DET
cte-300	113	4	teacher	teacher	NOUN
cte-300	113	5	demonstrates	demonstrate	VERB
cte-300	113	6	an	an	DET
cte-300	113	7	example	example	NOUN
cte-300	113	8	of	of	ADP
cte-300	113	9	a	a	DET
cte-300	113	10	ready	ready	ADV
cte-300	113	11	-	-	PUNCT
cte-300	113	12	made	make	VERB
cte-300	113	13	hypocycloid	hypocycloid	NOUN
cte-300	113	14	model	model	NOUN
cte-300	113	15	(	(	PUNCT
cte-300	113	16	figures	figure	NOUN
cte-300	113	17	3	3	NUM
cte-300	113	18	-	-	SYM
cte-300	113	19	4	4	NUM
cte-300	113	20	)	)	PUNCT
cte-300	113	21	,	,	PUNCT
cte-300	113	22	and	and	CCONJ
cte-300	113	23	then	then	ADV
cte-300	113	24	offers	offer	VERB
cte-300	113	25	to	to	PART
cte-300	113	26	describe	describe	VERB
cte-300	113	27	the	the	DET
cte-300	113	28	algorithm	algorithm	NOUN
cte-300	113	29	for	for	ADP
cte-300	113	30	its	its	PRON
cte-300	113	31	construction	construction	NOUN
cte-300	113	32	to	to	ADP
cte-300	113	33	students	student	NOUN
cte-300	113	34	.	.	PUNCT
cte-300	114	1	figure	figure	VERB
cte-300	114	2	3	3	NUM
cte-300	114	3	:	:	PUNCT
cte-300	114	4	construction	construction	NOUN
cte-300	114	5	of	of	ADP
cte-300	114	6	a	a	DET
cte-300	114	7	hypocycloid	hypocycloid	NOUN
cte-300	114	8	using	use	VERB
cte-300	114	9	the	the	DET
cte-300	114	10	trace	trace	NOUN
cte-300	114	11	tool	tool	NOUN
cte-300	114	12	.	.	PUNCT
cte-300	115	1	let	let	VERB
cte-300	115	2	the	the	DET
cte-300	115	3	circle	circle	NOUN
cte-300	115	4	𝜔2	𝜔2	ADJ
cte-300	115	5	roll	roll	NOUN
cte-300	115	6	inside	inside	ADP
cte-300	115	7	the	the	DET
cte-300	115	8	circle	circle	NOUN
cte-300	115	9	𝜔1	𝜔1	PROPN
cte-300	115	10	.	.	PUNCT
cte-300	116	1	let	let	VERB
cte-300	116	2	’s	’s	PRON
cte-300	116	3	construct	construct	VERB
cte-300	116	4	a	a	DET
cte-300	116	5	curve	curve	NOUN
cte-300	116	6	generated	generate	VERB
cte-300	116	7	by	by	ADP
cte-300	116	8	a	a	DET
cte-300	116	9	point	point	NOUN
cte-300	116	10	on	on	ADP
cte-300	116	11	the	the	DET
cte-300	116	12	circle	circle	NOUN
cte-300	116	13	𝜔2	𝜔2	PROPN
cte-300	116	14	.	.	PUNCT
cte-300	117	1	464	464	NUM
cte-300	117	2	cte	cte	NOUN
cte-300	117	3	workshop	workshop	NOUN
cte-300	117	4	proceedings	proceeding	NOUN
cte-300	117	5	,	,	PUNCT
cte-300	117	6	2021	2021	NUM
cte-300	117	7	,	,	PUNCT
cte-300	117	8	vol	vol	NOUN
cte-300	117	9	.	.	NOUN
cte-300	117	10	8	8	NUM
cte-300	117	11	:	:	PUNCT
cte-300	117	12	cte-2020	cte-2020	NOUN
cte-300	117	13	,	,	PUNCT
cte-300	117	14	pp	pp	ADP
cte-300	117	15	.	.	PUNCT
cte-300	118	1	458	458	NUM
cte-300	118	2	-	-	SYM
cte-300	118	3	472	472	NUM
cte-300	118	4	figure	figure	NOUN
cte-300	118	5	4	4	NUM
cte-300	118	6	:	:	PUNCT
cte-300	118	7	construction	construction	NOUN
cte-300	118	8	of	of	ADP
cte-300	118	9	a	a	DET
cte-300	118	10	hypocycloid	hypocycloid	NOUN
cte-300	118	11	using	use	VERB
cte-300	118	12	the	the	DET
cte-300	118	13	locus	locus	ADJ
cte-300	118	14	tool	tool	NOUN
cte-300	118	15	.	.	PUNCT
cte-300	119	1	algorithm	algorithm	PROPN
cte-300	119	2	for	for	ADP
cte-300	119	3	hypocycloid	hypocycloid	NOUN
cte-300	119	4	model	model	NOUN
cte-300	119	5	constructing	construct	VERB
cte-300	119	6	1	1	NUM
cte-300	119	7	.	.	PUNCT
cte-300	119	8	construct	construct	VERB
cte-300	119	9	a	a	DET
cte-300	119	10	circle	circle	NOUN
cte-300	119	11	𝜔1	𝜔1	ADJ
cte-300	119	12	with	with	ADP
cte-300	119	13	center	center	NOUN
cte-300	119	14	𝐴	𝐴	PROPN
cte-300	119	15	passing	pass	VERB
cte-300	119	16	through	through	ADP
cte-300	119	17	point	point	NOUN
cte-300	119	18	𝐵.	𝐵.	PROPN
cte-300	119	19	2	2	NUM
cte-300	119	20	.	.	PUNCT
cte-300	119	21	construct	construct	VERB
cte-300	119	22	the	the	DET
cte-300	119	23	segment	segment	NOUN
cte-300	119	24	𝐴𝐵.	𝐴𝐵.	PRON
cte-300	119	25	3	3	X
cte-300	119	26	.	.	X
cte-300	119	27	construct	construct	VERB
cte-300	119	28	an	an	DET
cte-300	119	29	arbitrary	arbitrary	ADJ
cte-300	119	30	point	point	NOUN
cte-300	119	31	𝐶	𝐶	PROPN
cte-300	119	32	on	on	ADP
cte-300	119	33	the	the	DET
cte-300	119	34	radius	radius	NOUN
cte-300	119	35	𝐴𝐵.	𝐴𝐵.	INTJ
cte-300	119	36	4	4	X
cte-300	119	37	.	.	PUNCT
cte-300	119	38	construct	construct	VERB
cte-300	119	39	the	the	DET
cte-300	119	40	circle	circle	NOUN
cte-300	119	41	𝜔3	𝜔3	NOUN
cte-300	119	42	with	with	ADP
cte-300	119	43	center	center	NOUN
cte-300	119	44	𝐴	𝐴	PROPN
cte-300	119	45	passing	pass	VERB
cte-300	119	46	through	through	ADP
cte-300	119	47	point	point	NOUN
cte-300	119	48	𝐶	𝐶	PROPN
cte-300	119	49	(	(	PUNCT
cte-300	119	50	dotted	dotted	ADJ
cte-300	119	51	line	line	NOUN
cte-300	119	52	)	)	PUNCT
cte-300	119	53	.	.	PUNCT
cte-300	120	1	5	5	X
cte-300	120	2	.	.	X
cte-300	120	3	construct	construct	VERB
cte-300	120	4	an	an	DET
cte-300	120	5	arbitrary	arbitrary	ADJ
cte-300	120	6	point	point	NOUN
cte-300	120	7	𝐷	𝐷	NOUN
cte-300	120	8	on	on	ADP
cte-300	120	9	the	the	DET
cte-300	120	10	circle	circle	NOUN
cte-300	120	11	𝜔3	𝜔3	NOUN
cte-300	120	12	.	.	PUNCT
cte-300	121	1	6	6	X
cte-300	121	2	.	.	X
cte-300	121	3	construct	construct	VERB
cte-300	121	4	the	the	DET
cte-300	121	5	circle	circle	NOUN
cte-300	121	6	𝜔2	𝜔2	ADV
cte-300	121	7	with	with	ADP
cte-300	121	8	center	center	PROPN
cte-300	121	9	𝐷	𝐷	PROPN
cte-300	121	10	,	,	PUNCT
cte-300	121	11	the	the	DET
cte-300	121	12	radius	radius	NOUN
cte-300	121	13	of	of	ADP
cte-300	121	14	which	which	PRON
cte-300	121	15	is	be	AUX
cte-300	121	16	equal	equal	ADJ
cte-300	121	17	to	to	ADP
cte-300	121	18	the	the	DET
cte-300	121	19	length	length	NOUN
cte-300	121	20	of	of	ADP
cte-300	121	21	the	the	DET
cte-300	121	22	segment	segment	NOUN
cte-300	121	23	𝐶𝐵.	𝐶𝐵.	NOUN
cte-300	121	24	7	7	X
cte-300	121	25	.	.	X
cte-300	121	26	construct	construct	VERB
cte-300	121	27	the	the	DET
cte-300	121	28	ray	ray	NOUN
cte-300	121	29	𝐴𝐷.	𝐴𝐷.	ADJ
cte-300	121	30	8	8	NUM
cte-300	121	31	.	.	PUNCT
cte-300	121	32	constract	constract	VERB
cte-300	121	33	the	the	DET
cte-300	121	34	point	point	NOUN
cte-300	121	35	𝐸	𝐸	PROPN
cte-300	121	36	–	–	PUNCT
cte-300	121	37	the	the	DET
cte-300	121	38	intersection	intersection	NOUN
cte-300	121	39	of	of	ADP
cte-300	121	40	the	the	DET
cte-300	121	41	circle	circle	NOUN
cte-300	121	42	𝜔2	𝜔2	ADV
cte-300	121	43	with	with	ADP
cte-300	121	44	the	the	DET
cte-300	121	45	ray	ray	NOUN
cte-300	121	46	𝐴𝐷.	𝐴𝐷.	ADJ
cte-300	121	47	9	9	NUM
cte-300	121	48	.	.	PUNCT
cte-300	121	49	hide	hide	VERB
cte-300	121	50	the	the	DET
cte-300	121	51	ray	ray	NOUN
cte-300	121	52	𝐴𝐷.	𝐴𝐷.	NOUN
cte-300	121	53	10	10	NUM
cte-300	121	54	.	.	PUNCT
cte-300	122	1	let	let	VERB
cte-300	122	2	the	the	DET
cte-300	122	3	center	center	NOUN
cte-300	122	4	𝐷	𝐷	PROPN
cte-300	122	5	of	of	ADP
cte-300	122	6	the	the	DET
cte-300	122	7	circle	circle	NOUN
cte-300	122	8	𝜔2	𝜔2	PROPN
cte-300	122	9	coincides	coincide	VERB
cte-300	122	10	with	with	ADP
cte-300	122	11	the	the	DET
cte-300	122	12	point	point	NOUN
cte-300	122	13	𝐶	𝐶	PROPN
cte-300	122	14	in	in	ADP
cte-300	122	15	the	the	DET
cte-300	122	16	initial	initial	ADJ
cte-300	122	17	position	position	NOUN
cte-300	122	18	.	.	PUNCT
cte-300	123	1	if	if	SCONJ
cte-300	123	2	we	we	PRON
cte-300	123	3	move	move	VERB
cte-300	123	4	the	the	DET
cte-300	123	5	point	point	NOUN
cte-300	123	6	𝐷	𝐷	NOUN
cte-300	123	7	around	around	ADP
cte-300	123	8	the	the	DET
cte-300	123	9	circle	circle	NOUN
cte-300	123	10	,	,	PUNCT
cte-300	123	11	it	it	PRON
cte-300	123	12	will	will	AUX
cte-300	123	13	rotate	rotate	VERB
cte-300	123	14	around	around	ADP
cte-300	123	15	the	the	DET
cte-300	123	16	point	point	NOUN
cte-300	123	17	𝐴	𝐴	PROPN
cte-300	123	18	,	,	PUNCT
cte-300	123	19	and	and	CCONJ
cte-300	123	20	remains	remain	VERB
cte-300	123	21	tangent	tangent	ADJ
cte-300	123	22	to	to	ADP
cte-300	123	23	the	the	DET
cte-300	123	24	circle	circle	NOUN
cte-300	123	25	𝜔1	𝜔1	PROPN
cte-300	123	26	.	.	PUNCT
cte-300	124	1	let	let	VERB
cte-300	124	2	the	the	DET
cte-300	124	3	circle	circle	NOUN
cte-300	124	4	𝜔2	𝜔2	ADV
cte-300	124	5	rotate	rotate	VERB
cte-300	124	6	around	around	ADP
cte-300	124	7	it	it	PRON
cte-300	124	8	when	when	SCONJ
cte-300	124	9	moving	move	VERB
cte-300	124	10	the	the	DET
cte-300	124	11	center	center	NOUN
cte-300	124	12	to	to	PART
cte-300	124	13	create	create	VERB
cte-300	124	14	the	the	DET
cte-300	124	15	illusion	illusion	NOUN
cte-300	124	16	that	that	SCONJ
cte-300	124	17	the	the	DET
cte-300	124	18	circle	circle	NOUN
cte-300	124	19	𝜔2	𝜔2	NOUN
cte-300	124	20	rolls	roll	VERB
cte-300	124	21	on	on	ADP
cte-300	124	22	the	the	DET
cte-300	124	23	circle	circle	NOUN
cte-300	124	24	𝜔1	𝜔1	NOUN
cte-300	124	25	.	.	PUNCT
cte-300	125	1	only	only	ADV
cte-300	125	2	one	one	NUM
cte-300	125	3	point	point	NOUN
cte-300	125	4	of	of	ADP
cte-300	125	5	the	the	DET
cte-300	125	6	circle	circle	NOUN
cte-300	125	7	𝜔2	𝜔2	PROPN
cte-300	125	8	should	should	AUX
cte-300	125	9	be	be	AUX
cte-300	125	10	investigated	investigate	VERB
cte-300	125	11	.	.	PUNCT
cte-300	126	1	let	let	VERB
cte-300	126	2	this	this	DET
cte-300	126	3	point	point	NOUN
cte-300	126	4	coincides	coincide	VERB
cte-300	126	5	with	with	ADP
cte-300	126	6	the	the	DET
cte-300	126	7	point	point	NOUN
cte-300	126	8	𝐵	𝐵	NOUN
cte-300	126	9	at	at	ADP
cte-300	126	10	the	the	DET
cte-300	126	11	initial	initial	ADJ
cte-300	126	12	moment	moment	NOUN
cte-300	126	13	,	,	PUNCT
cte-300	126	14	and	and	CCONJ
cte-300	126	15	is	be	AUX
cte-300	126	16	the	the	DET
cte-300	126	17	point	point	NOUN
cte-300	126	18	of	of	ADP
cte-300	126	19	tangency	tangency	NOUN
cte-300	126	20	of	of	ADP
cte-300	126	21	the	the	DET
cte-300	126	22	circles	circle	NOUN
cte-300	126	23	𝜔1	𝜔1	ADJ
cte-300	126	24	and	and	CCONJ
cte-300	126	25	𝜔2	𝜔2	PROPN
cte-300	126	26	.	.	PUNCT
cte-300	127	1	if	if	SCONJ
cte-300	127	2	the	the	DET
cte-300	127	3	circle	circle	NOUN
cte-300	127	4	𝜔2	𝜔2	NOUN
cte-300	127	5	rolls	roll	VERB
cte-300	127	6	on	on	ADP
cte-300	127	7	the	the	DET
cte-300	127	8	arc	arc	NOUN
cte-300	127	9	𝐵𝐸	𝐵𝐸	PROPN
cte-300	127	10	,	,	PUNCT
cte-300	127	11	then	then	ADV
cte-300	127	12	the	the	DET
cte-300	127	13	center	center	NOUN
cte-300	127	14	𝐷	𝐷	PROPN
cte-300	127	15	of	of	ADP
cte-300	127	16	the	the	DET
cte-300	127	17	circle	circle	NOUN
cte-300	127	18	will	will	AUX
cte-300	127	19	return	return	VERB
cte-300	127	20	around	around	ADP
cte-300	127	21	the	the	DET
cte-300	127	22	point	point	NOUN
cte-300	127	23	𝐴	𝐴	PROPN
cte-300	127	24	at	at	ADP
cte-300	127	25	the	the	DET
cte-300	127	26	angle	angle	NOUN
cte-300	127	27	𝜓	𝜓	ADP
cte-300	127	28	=	=	SYM
cte-300	127	29	𝐵𝐴𝐸.	𝐵𝐴𝐸.	NUM
cte-300	127	30	simple	simple	ADJ
cte-300	127	31	calculations	calculation	NOUN
cte-300	127	32	show	show	VERB
cte-300	127	33	that	that	SCONJ
cte-300	127	34	all	all	DET
cte-300	127	35	points	point	NOUN
cte-300	127	36	of	of	ADP
cte-300	127	37	the	the	DET
cte-300	127	38	circle	circle	NOUN
cte-300	127	39	𝜔2	𝜔2	PROPN
cte-300	127	40	will	will	AUX
cte-300	127	41	rotate	rotate	VERB
cte-300	127	42	around	around	ADP
cte-300	127	43	its	its	PRON
cte-300	127	44	center	center	NOUN
cte-300	127	45	at	at	ADP
cte-300	127	46	the	the	DET
cte-300	127	47	angle	angle	NOUN
cte-300	127	48	𝜓	𝜓	PROPN
cte-300	127	49	*	*	PUNCT
cte-300	127	50	𝐴𝐵	𝐴𝐵	PROPN
cte-300	127	51	𝐶𝐵	𝐶𝐵	PROPN
cte-300	127	52	.	.	PUNCT
cte-300	128	1	11	11	NUM
cte-300	128	2	.	.	X
cte-300	128	3	construct	construct	VERB
cte-300	128	4	the	the	DET
cte-300	128	5	point	point	NOUN
cte-300	128	6	𝐺	𝐺	PROPN
cte-300	128	7	,	,	PUNCT
cte-300	128	8	which	which	PRON
cte-300	128	9	is	be	AUX
cte-300	128	10	obtained	obtain	VERB
cte-300	128	11	from	from	ADP
cte-300	128	12	the	the	DET
cte-300	128	13	point	point	NOUN
cte-300	128	14	𝐸	𝐸	NOUN
cte-300	128	15	by	by	ADP
cte-300	128	16	rotating	rotate	VERB
cte-300	128	17	around	around	ADP
cte-300	128	18	the	the	DET
cte-300	128	19	point	point	NOUN
cte-300	128	20	𝐷	𝐷	NOUN
cte-300	128	21	by	by	ADP
cte-300	128	22	the	the	DET
cte-300	128	23	angle	angle	NOUN
cte-300	128	24	𝜓	𝜓	PROPN
cte-300	128	25	*	*	PUNCT
cte-300	128	26	𝐴𝐵	𝐴𝐵	PROPN
cte-300	128	27	𝐶𝐵	𝐶𝐵	PROPN
cte-300	128	28	.	.	PUNCT
cte-300	129	1	465	465	NUM
cte-300	129	2	cte	cte	NOUN
cte-300	129	3	workshop	workshop	NOUN
cte-300	129	4	proceedings	proceeding	NOUN
cte-300	129	5	,	,	PUNCT
cte-300	129	6	2021	2021	NUM
cte-300	129	7	,	,	PUNCT
cte-300	129	8	vol	vol	NOUN
cte-300	129	9	.	.	NOUN
cte-300	129	10	8	8	NUM
cte-300	129	11	:	:	PUNCT
cte-300	129	12	cte-2020	cte-2020	NOUN
cte-300	129	13	,	,	PUNCT
cte-300	129	14	pp	pp	ADP
cte-300	129	15	.	.	PUNCT
cte-300	130	1	458	458	NUM
cte-300	130	2	-	-	SYM
cte-300	130	3	472	472	NUM
cte-300	130	4	12	12	NUM
cte-300	130	5	.	.	PUNCT
cte-300	131	1	hide	hide	VERB
cte-300	131	2	the	the	DET
cte-300	131	3	point	point	NOUN
cte-300	131	4	𝐸.	𝐸.	PROPN
cte-300	131	5	13	13	NUM
cte-300	131	6	.	.	PUNCT
cte-300	132	1	a	a	PRON
cte-300	132	2	)	)	PUNCT
cte-300	132	3	make	make	VERB
cte-300	132	4	the	the	DET
cte-300	132	5	point	point	NOUN
cte-300	132	6	𝐺	𝐺	NOUN
cte-300	132	7	leave	leave	VERB
cte-300	132	8	a	a	DET
cte-300	132	9	trace	trace	NOUN
cte-300	132	10	by	by	ADP
cte-300	132	11	rolling	roll	VERB
cte-300	132	12	the	the	DET
cte-300	132	13	point	point	NOUN
cte-300	132	14	𝐷	𝐷	NOUN
cte-300	132	15	on	on	ADP
cte-300	132	16	the	the	DET
cte-300	132	17	circle	circle	NOUN
cte-300	132	18	𝜔2	𝜔2	PROPN
cte-300	132	19	(	(	PUNCT
cte-300	132	20	fig	fig	NOUN
cte-300	132	21	.	.	PUNCT
cte-300	133	1	3	3	NUM
cte-300	133	2	)	)	PUNCT
cte-300	133	3	.	.	PUNCT
cte-300	134	1	b	b	X
cte-300	134	2	)	)	PUNCT
cte-300	134	3	use	use	VERB
cte-300	134	4	the	the	DET
cte-300	134	5	locus	locus	ADJ
cte-300	134	6	tool	tool	NOUN
cte-300	134	7	:	:	PUNCT
cte-300	134	8	the	the	DET
cte-300	134	9	point𝐺	point𝐺	PROPN
cte-300	134	10	is	be	AUX
cte-300	134	11	the	the	DET
cte-300	134	12	“	"	PUNCT
cte-300	134	13	pencil	pencil	NOUN
cte-300	134	14	point	point	NOUN
cte-300	134	15	”	"	PUNCT
cte-300	134	16	,	,	PUNCT
cte-300	134	17	the	the	DET
cte-300	134	18	point𝐷	point𝐷	PROPN
cte-300	134	19	is	be	AUX
cte-300	134	20	the	the	DET
cte-300	134	21	“	"	PUNCT
cte-300	134	22	driver	driver	NOUN
cte-300	134	23	point	point	NOUN
cte-300	134	24	"	"	PUNCT
cte-300	134	25	(	(	PUNCT
cte-300	134	26	figure	figure	NOUN
cte-300	134	27	4	4	NUM
cte-300	134	28	)	)	PUNCT
cte-300	134	29	.	.	PUNCT
cte-300	135	1	next	next	ADV
cte-300	135	2	,	,	PUNCT
cte-300	135	3	the	the	DET
cte-300	135	4	lecturer	lecturer	NOUN
cte-300	135	5	at	at	ADP
cte-300	135	6	the	the	DET
cte-300	135	7	visualized	visualize	VERB
cte-300	135	8	lecture	lecture	NOUN
cte-300	135	9	offers	offer	VERB
cte-300	135	10	students	student	NOUN
cte-300	135	11	to	to	PART
cte-300	135	12	explore	explore	VERB
cte-300	135	13	the	the	DET
cte-300	135	14	analytical	analytical	ADJ
cte-300	135	15	equation	equation	NOUN
cte-300	135	16	of	of	ADP
cte-300	135	17	the	the	DET
cte-300	135	18	curve	curve	NOUN
cte-300	135	19	,	,	PUNCT
cte-300	135	20	which	which	PRON
cte-300	135	21	is	be	AUX
cte-300	135	22	described	describe	VERB
cte-300	135	23	through	through	ADP
cte-300	135	24	the	the	DET
cte-300	135	25	parameter	parameter	NOUN
cte-300	135	26	.	.	PUNCT
cte-300	136	1	let	let	VERB
cte-300	136	2	𝑅	𝑅	NOUN
cte-300	136	3	be	be	AUX
cte-300	136	4	the	the	DET
cte-300	136	5	radius	radius	NOUN
cte-300	136	6	of	of	ADP
cte-300	136	7	a	a	DET
cte-300	136	8	fixed	fix	VERB
cte-300	136	9	circle	circle	NOUN
cte-300	136	10	,	,	PUNCT
cte-300	136	11	𝑟	𝑟	NOUN
cte-300	136	12	be	be	VERB
cte-300	136	13	the	the	DET
cte-300	136	14	radius	radius	NOUN
cte-300	136	15	of	of	ADP
cte-300	136	16	a	a	DET
cte-300	136	17	rolling	rolling	ADJ
cte-300	136	18	circle	circle	NOUN
cte-300	136	19	,	,	PUNCT
cte-300	136	20	𝑘	𝑘	X
cte-300	136	21	=	=	SYM
cte-300	136	22	𝑅	𝑅	PROPN
cte-300	136	23	𝑟	𝑟	NOUN
cte-300	136	24	,	,	PUNCT
cte-300	136	25	then	then	ADV
cte-300	136	26	the	the	DET
cte-300	136	27	parametric	parametric	ADJ
cte-300	136	28	equation	equation	NOUN
cte-300	136	29	of	of	ADP
cte-300	136	30	a	a	DET
cte-300	136	31	hypocycloid	hypocycloid	NOUN
cte-300	136	32	is	be	AUX
cte-300	136	33	𝑥	𝑥	NOUN
cte-300	136	34	=	=	SYM
cte-300	136	35	𝑟	𝑟	NOUN
cte-300	136	36	*	*	PUNCT
cte-300	136	37	(	(	PUNCT
cte-300	136	38	𝑘	𝑘	PRON
cte-300	136	39	−	−	PROPN
cte-300	136	40	1	1	NUM
cte-300	136	41	)	)	PUNCT
cte-300	136	42	*	*	PUNCT
cte-300	137	1	(	(	PUNCT
cte-300	137	2	𝑐𝑜𝑠𝜓	𝑐𝑜𝑠𝜓	VERB
cte-300	137	3	−	−	NOUN
cte-300	138	1	𝑐𝑜𝑠(𝑘	𝑐𝑜𝑠(𝑘	NOUN
cte-300	138	2	−	−	PROPN
cte-300	138	3	1	1	NUM
cte-300	138	4	)	)	PUNCT
cte-300	138	5	*	*	PUNCT
cte-300	138	6	𝜓	𝜓	X
cte-300	138	7	)	)	PUNCT
cte-300	138	8	𝑘	𝑘	ADV
cte-300	138	9	−	−	PROPN
cte-300	138	10	1	1	NUM
cte-300	138	11	)	)	PUNCT
cte-300	138	12	,	,	PUNCT
cte-300	138	13	𝑦	𝑦	NOUN
cte-300	138	14	=	=	SYM
cte-300	138	15	𝑟	𝑟	X
cte-300	138	16	*	*	PUNCT
cte-300	138	17	(	(	PUNCT
cte-300	138	18	𝑘	𝑘	PRON
cte-300	138	19	−	−	PROPN
cte-300	138	20	1	1	NUM
cte-300	138	21	)	)	PUNCT
cte-300	138	22	*	*	PUNCT
cte-300	138	23	(	(	PUNCT
cte-300	138	24	𝑠𝑖𝑛𝜓	𝑠𝑖𝑛𝜓	PROPN
cte-300	138	25	−	−	PROPN
cte-300	139	1	𝑠𝑖𝑛(𝑘	𝑠𝑖𝑛(𝑘	PROPN
cte-300	140	1	−	−	PROPN
cte-300	140	2	1	1	NUM
cte-300	140	3	)	)	PUNCT
cte-300	140	4	*	*	PUNCT
cte-300	140	5	𝜓	𝜓	X
cte-300	140	6	)	)	PUNCT
cte-300	140	7	𝑘	𝑘	ADV
cte-300	140	8	−	−	PROPN
cte-300	140	9	1	1	NUM
cte-300	140	10	)	)	PUNCT
cte-300	140	11	.	.	PUNCT
cte-300	141	1	the	the	DET
cte-300	141	2	modulus	modulus	NOUN
cte-300	141	3	of	of	ADP
cte-300	141	4	𝑘	𝑘	PRON
cte-300	141	5	determines	determine	VERB
cte-300	141	6	the	the	DET
cte-300	141	7	shape	shape	NOUN
cte-300	141	8	of	of	ADP
cte-300	141	9	the	the	DET
cte-300	141	10	hypocycloid	hypocycloid	NOUN
cte-300	141	11	:	:	PUNCT
cte-300	141	12	𝑘	𝑘	X
cte-300	141	13	=	=	SYM
cte-300	141	14	2	2	NUM
cte-300	141	15	the	the	DET
cte-300	141	16	hypocycloid	hypocycloid	NOUN
cte-300	141	17	is	be	AUX
cte-300	141	18	described	describe	VERB
cte-300	141	19	by	by	ADP
cte-300	141	20	tusi	tusi	PROPN
cte-300	141	21	couple	couple	PROPN
cte-300	141	22	(	(	PUNCT
cte-300	141	23	diameter	diameter	NOUN
cte-300	141	24	of	of	ADP
cte-300	141	25	a	a	DET
cte-300	141	26	fixed	fix	VERB
cte-300	141	27	circle	circle	NOUN
cte-300	141	28	)	)	PUNCT
cte-300	141	29	,	,	PUNCT
cte-300	141	30	𝑘	𝑘	X
cte-300	141	31	=	=	NOUN
cte-300	141	32	4	4	NUM
cte-300	141	33	by	by	ADP
cte-300	141	34	the	the	DET
cte-300	141	35	astroid	astroid	NOUN
cte-300	142	1	𝑥	𝑥	PROPN
cte-300	142	2	2	2	NUM
cte-300	142	3	3	3	NUM
cte-300	142	4	+	+	SYM
cte-300	142	5	𝑦	𝑦	NUM
cte-300	142	6	2	2	NUM
cte-300	142	7	3	3	NUM
cte-300	142	8	=	=	SYM
cte-300	142	9	𝑅	𝑅	PROPN
cte-300	142	10	2	2	NUM
cte-300	142	11	3	3	NUM
cte-300	142	12	.	.	PUNCT
cte-300	143	1	study	study	NOUN
cte-300	143	2	of	of	ADP
cte-300	143	3	the	the	DET
cte-300	143	4	curve	curve	NOUN
cte-300	143	5	and	and	CCONJ
cte-300	143	6	establishment	establishment	NOUN
cte-300	143	7	of	of	ADP
cte-300	143	8	properties	property	NOUN
cte-300	143	9	(	(	PUNCT
cte-300	143	10	problem	problem	NOUN
cte-300	143	11	method	method	NOUN
cte-300	143	12	)	)	PUNCT
cte-300	143	13	.	.	PUNCT
cte-300	144	1	when	when	SCONJ
cte-300	144	2	the	the	DET
cte-300	144	3	hypocycloid	hypocycloid	NOUN
cte-300	144	4	is	be	AUX
cte-300	144	5	constructed	construct	VERB
cte-300	144	6	,	,	PUNCT
cte-300	144	7	we	we	PRON
cte-300	144	8	pass	pass	VERB
cte-300	144	9	to	to	ADP
cte-300	144	10	establishment	establishment	NOUN
cte-300	144	11	of	of	ADP
cte-300	144	12	its	its	PRON
cte-300	144	13	properties	property	NOUN
cte-300	144	14	at	at	ADP
cte-300	144	15	the	the	DET
cte-300	144	16	level	level	NOUN
cte-300	144	17	of	of	ADP
cte-300	144	18	practical	practical	ADJ
cte-300	144	19	research	research	NOUN
cte-300	144	20	.	.	PUNCT
cte-300	145	1	note	note	VERB
cte-300	145	2	that	that	SCONJ
cte-300	145	3	the	the	DET
cte-300	145	4	curve	curve	NOUN
cte-300	145	5	constructed	construct	VERB
cte-300	145	6	in	in	ADP
cte-300	145	7	this	this	DET
cte-300	145	8	way	way	NOUN
cte-300	145	9	is	be	AUX
cte-300	145	10	open	open	ADJ
cte-300	145	11	.	.	PUNCT
cte-300	146	1	let	let	VERB
cte-300	146	2	us	we	PRON
cte-300	146	3	investigate	investigate	VERB
cte-300	146	4	the	the	DET
cte-300	146	5	conditions	condition	NOUN
cte-300	146	6	under	under	ADP
cte-300	146	7	which	which	PRON
cte-300	146	8	the	the	DET
cte-300	146	9	constructed	construct	VERB
cte-300	146	10	hypocycloid	hypocycloid	NOUN
cte-300	146	11	will	will	AUX
cte-300	146	12	be	be	AUX
cte-300	146	13	a	a	DET
cte-300	146	14	closed	closed	ADJ
cte-300	146	15	curve	curve	NOUN
cte-300	146	16	.	.	PUNCT
cte-300	147	1	by	by	ADP
cte-300	147	2	changing	change	VERB
cte-300	147	3	the	the	DET
cte-300	147	4	radius	radius	NOUN
cte-300	147	5	of	of	ADP
cte-300	147	6	the	the	DET
cte-300	147	7	circle	circle	NOUN
cte-300	147	8	𝜔3	𝜔3	NOUN
cte-300	147	9	,	,	PUNCT
cte-300	147	10	thereby	thereby	ADV
cte-300	147	11	changing	change	VERB
cte-300	147	12	the	the	DET
cte-300	147	13	ratio	ratio	NOUN
cte-300	147	14	𝑘	𝑘	PRON
cte-300	147	15	=	=	SYM
cte-300	147	16	𝑅	𝑅	PROPN
cte-300	147	17	𝑟	𝑟	NOUN
cte-300	147	18	of	of	ADP
cte-300	147	19	the	the	DET
cte-300	147	20	radii	radius	NOUN
cte-300	147	21	of	of	ADP
cte-300	147	22	fixed	fix	VERB
cte-300	147	23	and	and	CCONJ
cte-300	147	24	rolling	rolling	ADJ
cte-300	147	25	circles	circle	NOUN
cte-300	147	26	,	,	PUNCT
cte-300	147	27	we	we	PRON
cte-300	147	28	conclude	conclude	VERB
cte-300	147	29	that	that	SCONJ
cte-300	147	30	the	the	DET
cte-300	147	31	curve	curve	NOUN
cte-300	147	32	will	will	AUX
cte-300	147	33	be	be	AUX
cte-300	147	34	closed	close	VERB
cte-300	147	35	when	when	SCONJ
cte-300	147	36	the	the	DET
cte-300	147	37	ratio	ratio	NOUN
cte-300	147	38	𝑘	𝑘	X
cte-300	147	39	=	=	SYM
cte-300	147	40	𝑅	𝑅	PROPN
cte-300	147	41	𝑟	𝑟	PRON
cte-300	147	42	∈	∈	PROPN
cte-300	147	43	𝑍	𝑍	PROPN
cte-300	147	44	(	(	PUNCT
cte-300	147	45	figure	figure	NOUN
cte-300	147	46	5	5	NUM
cte-300	147	47	)	)	PUNCT
cte-300	147	48	.	.	PUNCT
cte-300	148	1	in	in	ADP
cte-300	148	2	addition	addition	NOUN
cte-300	148	3	,	,	PUNCT
cte-300	148	4	in	in	ADP
cte-300	148	5	this	this	DET
cte-300	148	6	case	case	NOUN
cte-300	148	7	,	,	PUNCT
cte-300	148	8	the	the	DET
cte-300	148	9	hypocycloid	hypocycloid	NOUN
cte-300	148	10	consists	consist	VERB
cte-300	148	11	of	of	ADP
cte-300	148	12	𝑘	𝑘	DET
cte-300	148	13	identical	identical	ADJ
cte-300	148	14	arcs	arc	NOUN
cte-300	148	15	,	,	PUNCT
cte-300	148	16	the	the	DET
cte-300	148	17	ends	end	NOUN
cte-300	148	18	of	of	ADP
cte-300	148	19	which	which	PRON
cte-300	148	20	lie	lie	VERB
cte-300	148	21	on	on	ADP
cte-300	148	22	a	a	DET
cte-300	148	23	fixed	fix	VERB
cte-300	148	24	circle	circle	NOUN
cte-300	148	25	(	(	PUNCT
cte-300	148	26	figure	figure	NOUN
cte-300	148	27	6	6	NUM
cte-300	148	28	)	)	PUNCT
cte-300	148	29	.	.	PUNCT
cte-300	149	1	figure	figure	VERB
cte-300	149	2	5	5	NUM
cte-300	149	3	:	:	PUNCT
cte-300	149	4	closed	closed	ADJ
cte-300	149	5	hypocycloid	hypocycloid	NOUN
cte-300	149	6	,	,	PUNCT
cte-300	149	7	𝑘	𝑘	PROPN
cte-300	149	8	=	=	SYM
cte-300	149	9	𝑅	𝑅	PROPN
cte-300	149	10	𝑟	𝑟	PRON
cte-300	149	11	∈	∈	NOUN
cte-300	149	12	𝑍	𝑍	NOUN
cte-300	149	13	.	.	PUNCT
cte-300	149	14	466	466	NUM
cte-300	149	15	cte	cte	NOUN
cte-300	149	16	workshop	workshop	NOUN
cte-300	149	17	proceedings	proceeding	NOUN
cte-300	149	18	,	,	PUNCT
cte-300	149	19	2021	2021	NUM
cte-300	149	20	,	,	PUNCT
cte-300	149	21	vol	vol	NOUN
cte-300	149	22	.	.	NOUN
cte-300	149	23	8	8	NUM
cte-300	149	24	:	:	PUNCT
cte-300	149	25	cte-2020	cte-2020	NOUN
cte-300	149	26	,	,	PUNCT
cte-300	149	27	pp	pp	ADP
cte-300	149	28	.	.	PUNCT
cte-300	150	1	458	458	NUM
cte-300	150	2	-	-	SYM
cte-300	150	3	472	472	NUM
cte-300	150	4	figure	figure	NOUN
cte-300	150	5	6	6	NUM
cte-300	150	6	:	:	PUNCT
cte-300	150	7	the	the	DET
cte-300	150	8	hypocycloid	hypocycloid	PROPN
cte-300	150	9	consists	consist	VERB
cte-300	150	10	of	of	ADP
cte-300	150	11	𝑅	𝑅	PROPN
cte-300	150	12	𝑟	𝑟	NOUN
cte-300	150	13	=	=	SYM
cte-300	150	14	6	6	NUM
cte-300	150	15	of	of	ADP
cte-300	150	16	identical	identical	ADJ
cte-300	150	17	arcs	arc	NOUN
cte-300	150	18	.	.	PUNCT
cte-300	151	1	if	if	SCONJ
cte-300	151	2	the	the	DET
cte-300	151	3	radius	radius	NOUN
cte-300	151	4	𝑟	𝑟	NOUN
cte-300	151	5	of	of	ADP
cte-300	151	6	the	the	DET
cte-300	151	7	rolling	rolling	ADJ
cte-300	151	8	circle	circle	NOUN
cte-300	151	9	is	be	AUX
cte-300	151	10	twice	twice	ADV
cte-300	151	11	smaller	small	ADJ
cte-300	151	12	than	than	ADP
cte-300	151	13	the	the	DET
cte-300	151	14	radius	radius	NOUN
cte-300	151	15	𝑅	𝑅	PROPN
cte-300	151	16	of	of	ADP
cte-300	151	17	the	the	DET
cte-300	151	18	fixed	fix	VERB
cte-300	151	19	circle	circle	NOUN
cte-300	151	20	,	,	PUNCT
cte-300	151	21	then	then	ADV
cte-300	151	22	the	the	DET
cte-300	151	23	hypocycloid	hypocycloid	PROPN
cte-300	151	24	degenerates	degenerate	NOUN
cte-300	151	25	into	into	ADP
cte-300	151	26	a	a	DET
cte-300	151	27	segment	segment	NOUN
cte-300	151	28	(	(	PUNCT
cte-300	151	29	figure	figure	NOUN
cte-300	151	30	7	7	NUM
cte-300	151	31	)	)	PUNCT
cte-300	151	32	.	.	PUNCT
cte-300	152	1	this	this	DET
cte-300	152	2	statement	statement	NOUN
cte-300	152	3	is	be	AUX
cte-300	152	4	well	well	ADV
cte-300	152	5	known	know	VERB
cte-300	152	6	as	as	ADP
cte-300	152	7	copernicus	copernicus	PROPN
cte-300	152	8	theorem	theorem	PROPN
cte-300	152	9	.	.	PUNCT
cte-300	153	1	after	after	ADP
cte-300	153	2	the	the	DET
cte-300	153	3	lecture	lecture	NOUN
cte-300	153	4	,	,	PUNCT
cte-300	153	5	students	student	NOUN
cte-300	153	6	are	be	AUX
cte-300	153	7	first	first	ADV
cte-300	153	8	asked	ask	VERB
cte-300	153	9	to	to	PART
cte-300	153	10	construct	construct	VERB
cte-300	153	11	curves	curve	NOUN
cte-300	153	12	models	model	NOUN
cte-300	153	13	according	accord	VERB
cte-300	153	14	to	to	ADP
cte-300	153	15	the	the	DET
cte-300	153	16	given	give	VERB
cte-300	153	17	definition	definition	NOUN
cte-300	153	18	and	and	CCONJ
cte-300	153	19	algorithm	algorithm	NOUN
cte-300	153	20	,	,	PUNCT
cte-300	153	21	for	for	ADP
cte-300	153	22	example	example	NOUN
cte-300	153	23	,	,	PUNCT
cte-300	153	24	to	to	PART
cte-300	153	25	costruct	costruct	VERB
cte-300	153	26	a	a	DET
cte-300	153	27	cycloid	cycloid	NOUN
cte-300	153	28	,	,	PUNCT
cte-300	153	29	which	which	PRON
cte-300	153	30	is	be	AUX
cte-300	153	31	a	a	DET
cte-300	153	32	curve	curve	NOUN
cte-300	153	33	generated	generate	VERB
cte-300	153	34	by	by	ADP
cte-300	153	35	a	a	DET
cte-300	153	36	point	point	NOUN
cte-300	153	37	of	of	ADP
cte-300	153	38	a	a	DET
cte-300	153	39	circle	circle	NOUN
cte-300	153	40	rolling	roll	VERB
cte-300	153	41	on	on	ADP
cte-300	153	42	a	a	DET
cte-300	153	43	straight	straight	ADJ
cte-300	153	44	line	line	NOUN
cte-300	153	45	,	,	PUNCT
cte-300	153	46	reproducing	reproduce	VERB
cte-300	153	47	all	all	DET
cte-300	153	48	the	the	DET
cte-300	153	49	steps	step	NOUN
cte-300	153	50	of	of	ADP
cte-300	153	51	the	the	DET
cte-300	153	52	algorithm	algorithm	NOUN
cte-300	153	53	.	.	PUNCT
cte-300	154	1	not	not	PART
cte-300	154	2	only	only	ADV
cte-300	154	3	instructions	instruction	NOUN
cte-300	154	4	but	but	CCONJ
cte-300	154	5	also	also	ADV
cte-300	154	6	possible	possible	ADJ
cte-300	154	7	consultations	consultation	NOUN
cte-300	154	8	are	be	AUX
cte-300	154	9	provided	provide	VERB
cte-300	154	10	.	.	PUNCT
cte-300	155	1	the	the	DET
cte-300	155	2	next	next	ADJ
cte-300	155	3	lesson	lesson	NOUN
cte-300	155	4	tasks	task	NOUN
cte-300	155	5	such	such	ADJ
cte-300	155	6	as	as	ADP
cte-300	155	7	:	:	PUNCT
cte-300	155	8	“	"	PUNCT
cte-300	155	9	establish	establish	VERB
cte-300	155	10	the	the	DET
cte-300	155	11	relationship	relationship	NOUN
cte-300	155	12	between	between	ADP
cte-300	155	13	the	the	DET
cte-300	155	14	number	number	NOUN
cte-300	155	15	of	of	ADP
cte-300	155	16	arcs	arc	NOUN
cte-300	155	17	of	of	ADP
cte-300	155	18	the	the	DET
cte-300	155	19	epicycloid	epicycloid	NOUN
cte-300	155	20	,	,	PUNCT
cte-300	155	21	generated	generate	VERB
cte-300	155	22	by	by	ADP
cte-300	155	23	a	a	DET
cte-300	155	24	point	point	NOUN
cte-300	155	25	of	of	ADP
cte-300	155	26	a	a	DET
cte-300	155	27	circle	circle	NOUN
cte-300	155	28	rolling	roll	VERB
cte-300	155	29	on	on	ADP
cte-300	155	30	the	the	DET
cte-300	155	31	outside	outside	NOUN
cte-300	155	32	of	of	ADP
cte-300	155	33	another	another	DET
cte-300	155	34	circle	circle	NOUN
cte-300	155	35	,	,	PUNCT
cte-300	155	36	and	and	CCONJ
cte-300	155	37	the	the	DET
cte-300	155	38	ratio	ratio	NOUN
cte-300	155	39	of	of	ADP
cte-300	155	40	the	the	DET
cte-300	155	41	radii	radius	NOUN
cte-300	155	42	of	of	ADP
cte-300	155	43	these	these	DET
cte-300	155	44	circles	circle	NOUN
cte-300	155	45	”	"	PUNCT
cte-300	155	46	,	,	PUNCT
cte-300	155	47	are	be	AUX
cte-300	155	48	offered	offer	VERB
cte-300	155	49	.	.	PUNCT
cte-300	156	1	then	then	ADV
cte-300	156	2	,	,	PUNCT
cte-300	156	3	at	at	ADP
cte-300	156	4	the	the	DET
cte-300	156	5	next	next	ADJ
cte-300	156	6	two	two	NUM
cte-300	156	7	lessons	lesson	NOUN
cte-300	156	8	,	,	PUNCT
cte-300	156	9	tasks	task	NOUN
cte-300	156	10	such	such	ADJ
cte-300	156	11	as	as	ADP
cte-300	156	12	:	:	PUNCT
cte-300	156	13	“	"	PUNCT
cte-300	156	14	a	a	DET
cte-300	156	15	point	point	NOUN
cte-300	156	16	and	and	CCONJ
cte-300	156	17	a	a	DET
cte-300	156	18	line	line	NOUN
cte-300	156	19	,	,	PUNCT
cte-300	156	20	the	the	DET
cte-300	156	21	distance	distance	NOUN
cte-300	156	22	between	between	ADP
cte-300	156	23	which	which	PRON
cte-300	156	24	is	be	AUX
cte-300	156	25	equal	equal	ADJ
cte-300	156	26	to	to	ADP
cte-300	156	27	𝑎	𝑎	NUM
cte-300	156	28	,	,	PUNCT
cte-300	156	29	are	be	AUX
cte-300	156	30	given	give	VERB
cte-300	156	31	.	.	PUNCT
cte-300	157	1	a	a	DET
cte-300	157	2	line	line	NOUN
cte-300	157	3	is	be	AUX
cte-300	157	4	drawn	draw	VERB
cte-300	157	5	through	through	ADP
cte-300	157	6	an	an	DET
cte-300	157	7	arbitrary	arbitrary	ADJ
cte-300	157	8	point	point	NOUN
cte-300	157	9	𝑋	𝑋	NOUN
cte-300	157	10	of	of	ADP
cte-300	157	11	the	the	DET
cte-300	157	12	line	line	NOUN
cte-300	157	13	and	and	CCONJ
cte-300	157	14	the	the	DET
cte-300	157	15	point	point	NOUN
cte-300	157	16	.	.	PUNCT
cte-300	158	1	the	the	DET
cte-300	158	2	points	point	NOUN
cte-300	158	3	at	at	ADP
cte-300	158	4	a	a	DET
cte-300	158	5	distance	distance	NOUN
cte-300	158	6	𝑏	𝑏	NOUN
cte-300	158	7	from	from	ADP
cte-300	158	8	point	point	NOUN
cte-300	158	9	𝑋	𝑋	PROPN
cte-300	158	10	are	be	AUX
cte-300	158	11	marked	mark	VERB
cte-300	158	12	.	.	PUNCT
cte-300	159	1	find	find	VERB
cte-300	159	2	the	the	DET
cte-300	159	3	locus	locus	NOUN
cte-300	159	4	of	of	ADP
cte-300	159	5	such	such	ADJ
cte-300	159	6	points	point	NOUN
cte-300	159	7	”	"	PUNCT
cte-300	159	8	.	.	PUNCT
cte-300	160	1	the	the	DET
cte-300	160	2	described	describe	VERB
cte-300	160	3	methodology	methodology	NOUN
cte-300	160	4	differs	differ	VERB
cte-300	160	5	from	from	ADP
cte-300	160	6	the	the	DET
cte-300	160	7	traditional	traditional	ADJ
cte-300	160	8	one	one	NOUN
cte-300	160	9	,	,	PUNCT
cte-300	160	10	as	as	SCONJ
cte-300	160	11	the	the	DET
cte-300	160	12	latter	latter	ADJ
cte-300	160	13	usually	usually	ADV
cte-300	160	14	involves	involve	VERB
cte-300	160	15	only	only	ADV
cte-300	160	16	step	step	NOUN
cte-300	160	17	2	2	NUM
cte-300	160	18	and	and	CCONJ
cte-300	160	19	step	step	NOUN
cte-300	160	20	4	4	NUM
cte-300	160	21	,	,	PUNCT
cte-300	160	22	which	which	PRON
cte-300	160	23	does	do	AUX
cte-300	160	24	not	not	PART
cte-300	160	25	allow	allow	VERB
cte-300	160	26	students	student	NOUN
cte-300	160	27	to	to	PART
cte-300	160	28	understand	understand	VERB
cte-300	160	29	the	the	DET
cte-300	160	30	algorithms	algorithm	NOUN
cte-300	160	31	involved	involve	VERB
cte-300	160	32	in	in	ADP
cte-300	160	33	the	the	DET
cte-300	160	34	constructing	construct	VERB
cte-300	160	35	the	the	DET
cte-300	160	36	model	model	NOUN
cte-300	160	37	,	,	PUNCT
cte-300	160	38	to	to	PART
cte-300	160	39	develop	develop	VERB
cte-300	160	40	the	the	DET
cte-300	160	41	ability	ability	NOUN
cte-300	160	42	to	to	PART
cte-300	160	43	compare	compare	VERB
cte-300	160	44	step	step	NOUN
cte-300	160	45	-	-	PUNCT
cte-300	160	46	by	by	ADP
cte-300	160	47	-	-	PUNCT
cte-300	160	48	step	step	NOUN
cte-300	160	49	construction	construction	NOUN
cte-300	160	50	ideas	idea	NOUN
cte-300	160	51	and	and	CCONJ
cte-300	160	52	the	the	DET
cte-300	160	53	algorithm	algorithm	NOUN
cte-300	160	54	steps	step	NOUN
cte-300	160	55	.	.	PUNCT
cte-300	161	1	there	there	PRON
cte-300	161	2	is	be	VERB
cte-300	161	3	also	also	ADV
cte-300	161	4	no	no	DET
cte-300	161	5	practice	practice	NOUN
cte-300	161	6	of	of	ADP
cte-300	161	7	qualitative	qualitative	ADJ
cte-300	161	8	analysis	analysis	NOUN
cte-300	161	9	of	of	ADP
cte-300	161	10	the	the	DET
cte-300	161	11	algorithm	algorithm	NOUN
cte-300	161	12	(	(	PUNCT
cte-300	161	13	which	which	PRON
cte-300	161	14	is	be	AUX
cte-300	161	15	provided	provide	VERB
cte-300	161	16	by	by	ADP
cte-300	161	17	step	step	NOUN
cte-300	161	18	3	3	NUM
cte-300	161	19	and	and	CCONJ
cte-300	161	20	which	which	PRON
cte-300	161	21	is	be	AUX
cte-300	161	22	supported	support	VERB
cte-300	161	23	by	by	ADP
cte-300	161	24	the	the	DET
cte-300	161	25	“	"	PUNCT
cte-300	161	26	step	step	NOUN
cte-300	161	27	-	-	PUNCT
cte-300	161	28	by	by	ADP
cte-300	161	29	-	-	PUNCT
cte-300	161	30	step	step	NOUN
cte-300	161	31	playback	playback	NOUN
cte-300	161	32	service	service	NOUN
cte-300	161	33	”	"	PUNCT
cte-300	161	34	in	in	ADP
cte-300	161	35	geogebra	geogebra	NOUN
cte-300	161	36	)	)	PUNCT
cte-300	161	37	.	.	PUNCT
cte-300	162	1	this	this	PRON
cte-300	162	2	is	be	AUX
cte-300	162	3	what	what	PRON
cte-300	162	4	we	we	PRON
cte-300	162	5	consider	consider	VERB
cte-300	162	6	fundamentally	fundamentally	ADV
cte-300	162	7	important	important	ADJ
cte-300	162	8	for	for	ADP
cte-300	162	9	effective	effective	ADJ
cte-300	162	10	formation	formation	NOUN
cte-300	162	11	of	of	ADP
cte-300	162	12	skills	skill	NOUN
cte-300	162	13	to	to	ADP
cte-300	162	14	model	model	NOUN
cte-300	162	15	and	and	CCONJ
cte-300	162	16	what	what	PRON
cte-300	162	17	geogebra	geogebra	NOUN
cte-300	162	18	service	service	NOUN
cte-300	162	19	makes	make	VERB
cte-300	162	20	possible	possible	ADJ
cte-300	162	21	.	.	PUNCT
cte-300	163	1	let	let	VERB
cte-300	163	2	us	we	PRON
cte-300	163	3	note	note	VERB
cte-300	163	4	also	also	ADV
cte-300	163	5	that	that	SCONJ
cte-300	163	6	in	in	ADP
cte-300	163	7	terms	term	NOUN
cte-300	163	8	of	of	ADP
cte-300	163	9	distance	distance	NOUN
cte-300	163	10	learning	learning	NOUN
cte-300	163	11	,	,	PUNCT
cte-300	163	12	it	it	PRON
cte-300	163	13	is	be	AUX
cte-300	163	14	geogebra	geogebra	NOUN
cte-300	163	15	service	service	NOUN
cte-300	163	16	that	that	PRON
cte-300	163	17	allows	allow	VERB
cte-300	163	18	the	the	DET
cte-300	163	19	demonstration	demonstration	NOUN
cte-300	163	20	of	of	ADP
cte-300	163	21	constructions	construction	NOUN
cte-300	163	22	and	and	CCONJ
cte-300	163	23	the	the	DET
cte-300	163	24	ability	ability	NOUN
cte-300	163	25	to	to	PART
cte-300	163	26	work	work	VERB
cte-300	163	27	with	with	ADP
cte-300	163	28	models	model	NOUN
cte-300	163	29	at	at	ADP
cte-300	163	30	anytime	anytime	ADV
cte-300	163	31	from	from	ADP
cte-300	163	32	anywhere	anywhere	ADV
cte-300	163	33	.	.	PUNCT
cte-300	164	1	467	467	NUM
cte-300	164	2	cte	cte	NOUN
cte-300	164	3	workshop	workshop	NOUN
cte-300	164	4	proceedings	proceeding	NOUN
cte-300	164	5	,	,	PUNCT
cte-300	164	6	2021	2021	NUM
cte-300	164	7	,	,	PUNCT
cte-300	164	8	vol	vol	NOUN
cte-300	164	9	.	.	NOUN
cte-300	164	10	8	8	NUM
cte-300	164	11	:	:	PUNCT
cte-300	164	12	cte-2020	cte-2020	NOUN
cte-300	164	13	,	,	PUNCT
cte-300	164	14	pp	pp	ADP
cte-300	164	15	.	.	PUNCT
cte-300	165	1	458	458	NUM
cte-300	165	2	-	-	SYM
cte-300	165	3	472	472	NUM
cte-300	165	4	figure	figure	NOUN
cte-300	165	5	7	7	NUM
cte-300	165	6	:	:	PUNCT
cte-300	165	7	degenerate	degenerate	ADJ
cte-300	165	8	hypocycloid	hypocycloid	NOUN
cte-300	165	9	,	,	PUNCT
cte-300	165	10	𝑅	𝑅	PROPN
cte-300	165	11	𝑟	𝑟	NOUN
cte-300	165	12	=	=	SYM
cte-300	165	13	2	2	NUM
cte-300	165	14	.	.	NOUN
cte-300	165	15	5	5	NUM
cte-300	165	16	.	.	PUNCT
cte-300	165	17	statistical	statistical	ADJ
cte-300	165	18	analysis	analysis	NOUN
cte-300	165	19	of	of	ADP
cte-300	165	20	experiment	experiment	NOUN
cte-300	165	21	results	result	NOUN
cte-300	165	22	verification	verification	NOUN
cte-300	165	23	of	of	ADP
cte-300	165	24	the	the	DET
cte-300	165	25	effectiveness	effectiveness	NOUN
cte-300	165	26	of	of	ADP
cte-300	165	27	the	the	DET
cte-300	165	28	author	author	NOUN
cte-300	165	29	’s	’s	PART
cte-300	165	30	methodology	methodology	NOUN
cte-300	165	31	was	be	AUX
cte-300	165	32	carried	carry	VERB
cte-300	165	33	out	out	ADP
cte-300	165	34	based	base	VERB
cte-300	165	35	on	on	ADP
cte-300	165	36	two	two	NUM
cte-300	165	37	tests	test	NOUN
cte-300	165	38	.	.	PUNCT
cte-300	166	1	students	student	NOUN
cte-300	166	2	had	have	VERB
cte-300	166	3	to	to	PART
cte-300	166	4	solve	solve	VERB
cte-300	166	5	the	the	DET
cte-300	166	6	problem	problem	NOUN
cte-300	166	7	1	1	NUM
cte-300	166	8	(	(	PUNCT
cte-300	166	9	for	for	ADP
cte-300	166	10	example	example	NOUN
cte-300	166	11	,	,	PUNCT
cte-300	166	12	to	to	PART
cte-300	166	13	construct	construct	VERB
cte-300	166	14	a	a	DET
cte-300	166	15	curve	curve	NOUN
cte-300	166	16	,	,	PUNCT
cte-300	166	17	for	for	ADP
cte-300	166	18	each	each	DET
cte-300	166	19	point	point	NOUN
cte-300	166	20	of	of	ADP
cte-300	166	21	which	which	PRON
cte-300	166	22	the	the	DET
cte-300	166	23	sum	sum	NOUN
cte-300	166	24	of	of	ADP
cte-300	166	25	distances	distance	NOUN
cte-300	166	26	to	to	ADP
cte-300	166	27	two	two	NUM
cte-300	166	28	given	give	VERB
cte-300	166	29	points	point	NOUN
cte-300	166	30	is	be	AUX
cte-300	166	31	constant	constant	ADJ
cte-300	166	32	)	)	PUNCT
cte-300	166	33	before	before	ADP
cte-300	166	34	studying	study	VERB
cte-300	166	35	the	the	DET
cte-300	166	36	topic	topic	NOUN
cte-300	166	37	and	and	CCONJ
cte-300	166	38	the	the	DET
cte-300	166	39	problem	problem	NOUN
cte-300	166	40	2	2	NUM
cte-300	166	41	(	(	PUNCT
cte-300	166	42	for	for	ADP
cte-300	166	43	example	example	NOUN
cte-300	166	44	,	,	PUNCT
cte-300	166	45	to	to	PART
cte-300	166	46	construct	construct	VERB
cte-300	166	47	a	a	DET
cte-300	166	48	curve	curve	NOUN
cte-300	166	49	,	,	PUNCT
cte-300	166	50	each	each	DET
cte-300	166	51	point	point	NOUN
cte-300	166	52	of	of	ADP
cte-300	166	53	which	which	PRON
cte-300	166	54	is	be	AUX
cte-300	166	55	equidistant	equidistant	ADJ
cte-300	166	56	from	from	ADP
cte-300	166	57	the	the	DET
cte-300	166	58	point	point	NOUN
cte-300	166	59	lying	lie	VERB
cte-300	166	60	in	in	ADP
cte-300	166	61	the	the	DET
cte-300	166	62	third	third	ADJ
cte-300	166	63	quarter	quarter	NOUN
cte-300	166	64	,	,	PUNCT
cte-300	166	65	and	and	CCONJ
cte-300	166	66	a	a	DET
cte-300	166	67	line	line	NOUN
cte-300	166	68	that	that	PRON
cte-300	166	69	forms	form	VERB
cte-300	166	70	an	an	DET
cte-300	166	71	acute	acute	ADJ
cte-300	166	72	angle	angle	NOUN
cte-300	166	73	with	with	ADP
cte-300	166	74	the	the	DET
cte-300	166	75	abscissa	abscissa	NOUN
cte-300	166	76	)	)	PUNCT
cte-300	166	77	after	after	ADP
cte-300	166	78	studying	study	VERB
cte-300	166	79	the	the	DET
cte-300	166	80	topic	topic	NOUN
cte-300	166	81	.	.	PUNCT
cte-300	167	1	the	the	DET
cte-300	167	2	evaluation	evaluation	NOUN
cte-300	167	3	of	of	ADP
cte-300	167	4	solutions	solution	NOUN
cte-300	167	5	was	be	AUX
cte-300	167	6	carried	carry	VERB
cte-300	167	7	out	out	ADP
cte-300	167	8	through	through	ADP
cte-300	167	9	the	the	DET
cte-300	167	10	assessment	assessment	NOUN
cte-300	167	11	of	of	ADP
cte-300	167	12	skills	skill	NOUN
cte-300	167	13	:	:	PUNCT
cte-300	167	14	to	to	PART
cte-300	167	15	take	take	VERB
cte-300	167	16	into	into	ADP
cte-300	167	17	account	account	NOUN
cte-300	167	18	the	the	DET
cte-300	167	19	analytical	analytical	ADJ
cte-300	167	20	and	and	CCONJ
cte-300	167	21	geometric	geometric	ADJ
cte-300	167	22	relationship	relationship	NOUN
cte-300	167	23	between	between	ADP
cte-300	167	24	the	the	DET
cte-300	167	25	elements	element	NOUN
cte-300	167	26	;	;	PUNCT
cte-300	167	27	to	to	PART
cte-300	167	28	use	use	VERB
cte-300	167	29	the	the	DET
cte-300	167	30	locus	locus	NOUN
cte-300	167	31	and	and	CCONJ
cte-300	167	32	trace	trace	NOUN
cte-300	167	33	tools	tool	NOUN
cte-300	167	34	;	;	PUNCT
cte-300	167	35	to	to	PART
cte-300	167	36	visualize	visualize	VERB
cte-300	167	37	the	the	DET
cte-300	167	38	model	model	NOUN
cte-300	167	39	successfully	successfully	ADV
cte-300	167	40	;	;	PUNCT
cte-300	167	41	to	to	PART
cte-300	167	42	add	add	VERB
cte-300	167	43	dynamic	dynamic	ADJ
cte-300	167	44	text	text	NOUN
cte-300	167	45	to	to	PART
cte-300	167	46	study	study	VERB
cte-300	167	47	numerical	numerical	ADJ
cte-300	167	48	characteristics	characteristic	NOUN
cte-300	167	49	;	;	PUNCT
cte-300	167	50	to	to	PART
cte-300	167	51	write	write	VERB
cte-300	167	52	an	an	DET
cte-300	167	53	algorithm	algorithm	NOUN
cte-300	167	54	for	for	ADP
cte-300	167	55	constructing	construct	VERB
cte-300	167	56	a	a	DET
cte-300	167	57	model	model	NOUN
cte-300	167	58	;	;	PUNCT
cte-300	167	59	to	to	PART
cte-300	167	60	reproduce	reproduce	VERB
cte-300	167	61	the	the	DET
cte-300	167	62	steps	step	NOUN
cte-300	167	63	of	of	ADP
cte-300	167	64	the	the	DET
cte-300	167	65	algorithm	algorithm	NOUN
cte-300	167	66	to	to	PART
cte-300	167	67	construct	construct	VERB
cte-300	167	68	the	the	DET
cte-300	167	69	model	model	NOUN
cte-300	167	70	;	;	PUNCT
cte-300	167	71	to	to	PART
cte-300	167	72	interpret	interpret	VERB
cte-300	167	73	the	the	DET
cte-300	167	74	result	result	NOUN
cte-300	167	75	of	of	ADP
cte-300	167	76	a	a	DET
cte-300	167	77	computer	computer	NOUN
cte-300	167	78	experiment	experiment	NOUN
cte-300	167	79	(	(	PUNCT
cte-300	167	80	in	in	ADP
cte-300	167	81	more	more	ADJ
cte-300	167	82	detail	detail	NOUN
cte-300	167	83	in	in	ADP
cte-300	167	84	table	table	NOUN
cte-300	167	85	1	1	NUM
cte-300	167	86	)	)	PUNCT
cte-300	167	87	.	.	PUNCT
cte-300	168	1	the	the	DET
cte-300	168	2	results	result	NOUN
cte-300	168	3	of	of	ADP
cte-300	168	4	the	the	DET
cte-300	168	5	controls	control	NOUN
cte-300	168	6	are	be	AUX
cte-300	168	7	presented	present	VERB
cte-300	168	8	in	in	ADP
cte-300	168	9	table	table	NOUN
cte-300	168	10	2	2	NUM
cte-300	168	11	.	.	PUNCT
cte-300	169	1	these	these	DET
cte-300	169	2	marks	mark	NOUN
cte-300	169	3	were	be	AUX
cte-300	169	4	used	use	VERB
cte-300	169	5	to	to	PART
cte-300	169	6	determine	determine	VERB
cte-300	169	7	the	the	DET
cte-300	169	8	number	number	NOUN
cte-300	169	9	of	of	ADP
cte-300	169	10	respondents	respondent	NOUN
cte-300	169	11	whose	whose	DET
cte-300	169	12	total	total	ADJ
cte-300	169	13	score	score	NOUN
cte-300	169	14	decreased	decrease	VERB
cte-300	169	15	(	(	PUNCT
cte-300	169	16	“	"	PUNCT
cte-300	169	17	–	–	PUNCT
cte-300	169	18	”	"	PUNCT
cte-300	169	19	)	)	PUNCT
cte-300	169	20	,	,	PUNCT
cte-300	169	21	did	do	AUX
cte-300	169	22	not	not	PART
cte-300	169	23	change	change	VERB
cte-300	169	24	(	(	PUNCT
cte-300	169	25	“	"	PUNCT
cte-300	169	26	0	0	NUM
cte-300	169	27	”	"	PUNCT
cte-300	169	28	)	)	PUNCT
cte-300	169	29	and	and	CCONJ
cte-300	169	30	increased	increase	VERB
cte-300	169	31	(	(	PUNCT
cte-300	169	32	“	"	PUNCT
cte-300	169	33	+	+	ADJ
cte-300	169	34	”	"	PUNCT
cte-300	169	35	)	)	PUNCT
cte-300	169	36	(	(	PUNCT
cte-300	169	37	table	table	NOUN
cte-300	169	38	3	3	NUM
cte-300	169	39	)	)	PUNCT
cte-300	169	40	.	.	PUNCT
cte-300	170	1	according	accord	VERB
cte-300	170	2	to	to	ADP
cte-300	170	3	the	the	DET
cte-300	170	4	decision	decision	NOUN
cte-300	170	5	-	-	PUNCT
cte-300	170	6	making	make	VERB
cte-300	170	7	rule	rule	NOUN
cte-300	170	8	[	[	X
cte-300	170	9	10	10	NUM
cte-300	170	10	]	]	PUNCT
cte-300	170	11	we	we	PRON
cte-300	170	12	have	have	VERB
cte-300	170	13	:	:	PUNCT
cte-300	170	14	the	the	DET
cte-300	170	15	value	value	NOUN
cte-300	170	16	of	of	ADP
cte-300	170	17	𝑇𝑒𝑥𝑝	𝑇𝑒𝑥𝑝	PROPN
cte-300	170	18	=	=	PUNCT
cte-300	170	19	46	46	NUM
cte-300	170	20	(	(	PUNCT
cte-300	170	21	this	this	PRON
cte-300	170	22	is	be	AUX
cte-300	170	23	the	the	DET
cte-300	170	24	number	number	NOUN
cte-300	170	25	of	of	ADP
cte-300	170	26	“	"	PUNCT
cte-300	170	27	+	+	ADJ
cte-300	170	28	”	"	PUNCT
cte-300	170	29	signs	sign	NOUN
cte-300	170	30	in	in	ADP
cte-300	170	31	the	the	DET
cte-300	170	32	sample	sample	NOUN
cte-300	170	33	)	)	PUNCT
cte-300	170	34	,	,	PUNCT
cte-300	170	35	𝑛	𝑛	PROPN
cte-300	171	1	=	=	SYM
cte-300	171	2	67	67	NUM
cte-300	171	3	(	(	PUNCT
cte-300	171	4	this	this	PRON
cte-300	171	5	is	be	AUX
cte-300	171	6	the	the	DET
cte-300	171	7	number	number	NOUN
cte-300	171	8	of	of	ADP
cte-300	171	9	respondents	respondent	NOUN
cte-300	171	10	who	who	PRON
cte-300	171	11	have	have	AUX
cte-300	171	12	changed	change	VERB
cte-300	171	13	the	the	DET
cte-300	171	14	results	result	NOUN
cte-300	171	15	)	)	PUNCT
cte-300	171	16	,	,	PUNCT
cte-300	171	17	the	the	DET
cte-300	171	18	acceptance	acceptance	NOUN
cte-300	171	19	interval	interval	NOUN
cte-300	171	20	of	of	ADP
cte-300	171	21	the	the	DET
cte-300	171	22	hypothesis	hypothesis	NOUN
cte-300	171	23	𝐻0	𝐻0	NOUN
cte-300	171	24	is	be	AUX
cte-300	171	25	[	[	X
cte-300	171	26	26	26	NUM
cte-300	171	27	,	,	PUNCT
cte-300	171	28	41	41	NUM
cte-300	171	29	]	]	PUNCT
cte-300	171	30	at	at	ADP
cte-300	171	31	the	the	DET
cte-300	171	32	significant	significant	ADJ
cte-300	171	33	level	level	NOUN
cte-300	171	34	of	of	ADP
cte-300	171	35	0.05	0.05	NUM
cte-300	171	36	.	.	PUNCT
cte-300	172	1	since	since	SCONJ
cte-300	172	2	𝑇𝑒𝑥𝑝	𝑇𝑒𝑥𝑝	PROPN
cte-300	172	3	is	be	AUX
cte-300	172	4	not	not	PART
cte-300	172	5	included	include	VERB
cte-300	172	6	in	in	ADP
cte-300	172	7	the	the	DET
cte-300	172	8	acceptance	acceptance	NOUN
cte-300	172	9	interval	interval	NOUN
cte-300	172	10	of	of	ADP
cte-300	172	11	the	the	DET
cte-300	172	12	hypothesis	hypothesis	NOUN
cte-300	172	13	𝐻0	𝐻0	PROPN
cte-300	172	14	,	,	PUNCT
cte-300	172	15	we	we	PRON
cte-300	172	16	reject	reject	VERB
cte-300	172	17	the	the	DET
cte-300	172	18	hypothesis𝐻0	hypothesis𝐻0	PROPN
cte-300	172	19	and	and	CCONJ
cte-300	172	20	accept	accept	VERB
cte-300	172	21	the	the	DET
cte-300	172	22	alternative	alternative	ADJ
cte-300	172	23	one	one	NUM
cte-300	172	24	with	with	ADP
cte-300	172	25	the	the	DET
cte-300	172	26	conclusion	conclusion	NOUN
cte-300	172	27	that	that	SCONJ
cte-300	172	28	the	the	DET
cte-300	172	29	author	author	NOUN
cte-300	172	30	’s	’s	PART
cte-300	172	31	methodology	methodology	NOUN
cte-300	172	32	contributes	contribute	VERB
cte-300	172	33	to	to	ADP
cte-300	172	34	the	the	DET
cte-300	172	35	formation	formation	NOUN
cte-300	172	36	of	of	ADP
cte-300	172	37	modeling	modeling	NOUN
cte-300	172	38	skills	skill	NOUN
cte-300	172	39	.	.	PUNCT
cte-300	173	1	since	since	SCONJ
cte-300	173	2	the	the	DET
cte-300	173	3	value	value	NOUN
cte-300	173	4	of	of	ADP
cte-300	173	5	𝑇𝑒𝑥𝑝	𝑇𝑒𝑥𝑝	PROPN
cte-300	173	6	is	be	AUX
cte-300	173	7	beyond	beyond	ADP
cte-300	173	8	to	to	ADP
cte-300	173	9	the	the	DET
cte-300	173	10	segment	segment	NOUN
cte-300	173	11	on	on	ADP
cte-300	173	12	the	the	DET
cte-300	173	13	right	right	NOUN
cte-300	173	14	,	,	PUNCT
cte-300	173	15	it	it	PRON
cte-300	173	16	is	be	AUX
cte-300	173	17	necessary	necessary	ADJ
cte-300	173	18	to	to	PART
cte-300	173	19	conclude	conclude	VERB
cte-300	173	20	there	there	PRON
cte-300	173	21	is	be	VERB
cte-300	173	22	the	the	DET
cte-300	173	23	positive	positive	ADJ
cte-300	173	24	dynamics	dynamic	NOUN
cte-300	173	25	of	of	ADP
cte-300	173	26	the	the	DET
cte-300	173	27	number	number	NOUN
cte-300	173	28	of	of	ADP
cte-300	173	29	such	such	ADJ
cte-300	173	30	468	468	NUM
cte-300	173	31	cte	cte	NOUN
cte-300	173	32	workshop	workshop	NOUN
cte-300	173	33	proceedings	proceeding	NOUN
cte-300	173	34	,	,	PUNCT
cte-300	173	35	2021	2021	NUM
cte-300	173	36	,	,	PUNCT
cte-300	173	37	vol	vol	NOUN
cte-300	173	38	.	.	NOUN
cte-300	173	39	8	8	NUM
cte-300	173	40	:	:	PUNCT
cte-300	173	41	cte-2020	cte-2020	NOUN
cte-300	173	42	,	,	PUNCT
cte-300	174	1	pp	pp	ADP
cte-300	174	2	.	.	PUNCT
cte-300	175	1	458	458	NUM
cte-300	175	2	-	-	SYM
cte-300	175	3	472	472	NUM
cte-300	175	4	table	table	NOUN
cte-300	175	5	2	2	NUM
cte-300	175	6	the	the	DET
cte-300	175	7	results	result	NOUN
cte-300	175	8	of	of	ADP
cte-300	175	9	students	student	NOUN
cte-300	175	10	’	'	PUNCT
cte-300	175	11	tests	test	VERB
cte-300	175	12	no	no	DET
cte-300	175	13	test	test	NOUN
cte-300	175	14	1	1	NUM
cte-300	175	15	test	test	NOUN
cte-300	175	16	2	2	NUM
cte-300	175	17	no	no	DET
cte-300	175	18	test	test	NOUN
cte-300	175	19	1	1	NUM
cte-300	175	20	test	test	NOUN
cte-300	175	21	2	2	NUM
cte-300	175	22	no	no	DET
cte-300	175	23	test	test	NOUN
cte-300	175	24	1	1	NUM
cte-300	175	25	test	test	NOUN
cte-300	175	26	2	2	NUM
cte-300	175	27	1	1	NUM
cte-300	175	28	3	3	NUM
cte-300	175	29	4	4	NUM
cte-300	175	30	30	30	NUM
cte-300	175	31	3	3	NUM
cte-300	175	32	5	5	NUM
cte-300	175	33	59	59	NUM
cte-300	175	34	4	4	NUM
cte-300	175	35	5	5	NUM
cte-300	175	36	2	2	NUM
cte-300	175	37	4	4	NUM
cte-300	175	38	5	5	NUM
cte-300	175	39	31	31	NUM
cte-300	175	40	4	4	NUM
cte-300	175	41	4	4	NUM
cte-300	175	42	60	60	NUM
cte-300	175	43	3	3	NUM
cte-300	175	44	4	4	NUM
cte-300	175	45	3	3	NUM
cte-300	175	46	5	5	NUM
cte-300	175	47	4	4	NUM
cte-300	175	48	32	32	NUM
cte-300	175	49	4	4	NUM
cte-300	175	50	6	6	NUM
cte-300	175	51	61	61	NUM
cte-300	175	52	3	3	NUM
cte-300	175	53	4	4	NUM
cte-300	175	54	4	4	NUM
cte-300	175	55	4	4	NUM
cte-300	175	56	3	3	NUM
cte-300	175	57	33	33	NUM
cte-300	175	58	4	4	NUM
cte-300	175	59	6	6	NUM
cte-300	175	60	62	62	NUM
cte-300	175	61	5	5	NUM
cte-300	175	62	4	4	NUM
cte-300	175	63	5	5	NUM
cte-300	175	64	5	5	NUM
cte-300	175	65	3	3	NUM
cte-300	175	66	34	34	NUM
cte-300	175	67	4	4	NUM
cte-300	175	68	7	7	NUM
cte-300	175	69	63	63	NUM
cte-300	175	70	5	5	NUM
cte-300	175	71	5	5	NUM
cte-300	175	72	6	6	NUM
cte-300	175	73	5	5	NUM
cte-300	175	74	5	5	NUM
cte-300	175	75	35	35	NUM
cte-300	175	76	5	5	NUM
cte-300	175	77	4	4	NUM
cte-300	175	78	64	64	NUM
cte-300	175	79	5	5	NUM
cte-300	175	80	4	4	NUM
cte-300	175	81	7	7	NUM
cte-300	175	82	5	5	NUM
cte-300	175	83	6	6	NUM
cte-300	175	84	36	36	NUM
cte-300	175	85	5	5	NUM
cte-300	175	86	3	3	NUM
cte-300	175	87	65	65	NUM
cte-300	175	88	6	6	NUM
cte-300	175	89	4	4	NUM
cte-300	175	90	8	8	NUM
cte-300	175	91	6	6	NUM
cte-300	175	92	6	6	NUM
cte-300	175	93	37	37	NUM
cte-300	175	94	5	5	NUM
cte-300	175	95	3	3	NUM
cte-300	175	96	66	66	NUM
cte-300	175	97	5	5	NUM
cte-300	175	98	6	6	NUM
cte-300	175	99	9	9	NUM
cte-300	175	100	4	4	NUM
cte-300	175	101	5	5	NUM
cte-300	175	102	38	38	NUM
cte-300	175	103	5	5	NUM
cte-300	175	104	5	5	NUM
cte-300	175	105	67	67	NUM
cte-300	175	106	4	4	NUM
cte-300	175	107	7	7	NUM
cte-300	175	108	10	10	NUM
cte-300	175	109	3	3	NUM
cte-300	175	110	4	4	NUM
cte-300	175	111	39	39	NUM
cte-300	175	112	6	6	NUM
cte-300	175	113	6	6	NUM
cte-300	175	114	68	68	NUM
cte-300	175	115	3	3	NUM
cte-300	175	116	7	7	NUM
cte-300	175	117	11	11	NUM
cte-300	175	118	3	3	NUM
cte-300	175	119	3	3	NUM
cte-300	175	120	40	40	NUM
cte-300	175	121	5	5	NUM
cte-300	175	122	7	7	NUM
cte-300	175	123	69	69	NUM
cte-300	175	124	2	2	NUM
cte-300	175	125	6	6	NUM
cte-300	175	126	12	12	NUM
cte-300	175	127	3	3	NUM
cte-300	175	128	3	3	NUM
cte-300	175	129	41	41	NUM
cte-300	175	130	4	4	NUM
cte-300	175	131	5	5	NUM
cte-300	175	132	70	70	NUM
cte-300	175	133	7	7	NUM
cte-300	175	134	5	5	NUM
cte-300	175	135	13	13	NUM
cte-300	175	136	4	4	NUM
cte-300	175	137	2	2	NUM
cte-300	175	138	42	42	NUM
cte-300	175	139	4	4	NUM
cte-300	175	140	4	4	NUM
cte-300	175	141	71	71	NUM
cte-300	175	142	5	5	NUM
cte-300	175	143	8	8	NUM
cte-300	175	144	14	14	NUM
cte-300	175	145	4	4	NUM
cte-300	175	146	6	6	NUM
cte-300	175	147	43	43	NUM
cte-300	175	148	6	6	NUM
cte-300	175	149	4	4	NUM
cte-300	175	150	72	72	NUM
cte-300	175	151	4	4	NUM
cte-300	175	152	8	8	NUM
cte-300	175	153	15	15	NUM
cte-300	175	154	5	5	NUM
cte-300	175	155	6	6	NUM
cte-300	175	156	44	44	NUM
cte-300	175	157	7	7	NUM
cte-300	175	158	5	5	NUM
cte-300	175	159	73	73	NUM
cte-300	175	160	3	3	NUM
cte-300	175	161	9	9	NUM
cte-300	175	162	16	16	NUM
cte-300	175	163	4	4	NUM
cte-300	175	164	7	7	NUM
cte-300	175	165	45	45	NUM
cte-300	175	166	6	6	NUM
cte-300	175	167	6	6	NUM
cte-300	175	168	74	74	NUM
cte-300	175	169	3	3	NUM
cte-300	175	170	8	8	NUM
cte-300	175	171	17	17	NUM
cte-300	175	172	5	5	NUM
cte-300	175	173	6	6	NUM
cte-300	175	174	46	46	NUM
cte-300	175	175	5	5	NUM
cte-300	175	176	7	7	NUM
cte-300	175	177	75	75	NUM
cte-300	175	178	4	4	NUM
cte-300	175	179	7	7	NUM
cte-300	175	180	18	18	NUM
cte-300	175	181	4	4	NUM
cte-300	175	182	5	5	NUM
cte-300	175	183	47	47	NUM
cte-300	175	184	7	7	NUM
cte-300	175	185	7	7	NUM
cte-300	175	186	76	76	NUM
cte-300	175	187	5	5	NUM
cte-300	175	188	6	6	NUM
cte-300	175	189	19	19	NUM
cte-300	175	190	7	7	NUM
cte-300	175	191	4	4	NUM
cte-300	175	192	48	48	NUM
cte-300	175	193	8	8	NUM
cte-300	175	194	7	7	NUM
cte-300	175	195	77	77	NUM
cte-300	175	196	5	5	NUM
cte-300	175	197	6	6	NUM
cte-300	175	198	20	20	NUM
cte-300	175	199	6	6	NUM
cte-300	175	200	5	5	NUM
cte-300	175	201	49	49	NUM
cte-300	175	202	8	8	NUM
cte-300	175	203	6	6	NUM
cte-300	175	204	78	78	NUM
cte-300	175	205	5	5	NUM
cte-300	175	206	6	6	NUM
cte-300	175	207	21	21	NUM
cte-300	175	208	6	6	NUM
cte-300	175	209	3	3	NUM
cte-300	175	210	50	50	NUM
cte-300	175	211	3	3	NUM
cte-300	175	212	6	6	NUM
cte-300	175	213	79	79	NUM
cte-300	175	214	6	6	NUM
cte-300	175	215	7	7	NUM
cte-300	175	216	22	22	NUM
cte-300	175	217	5	5	NUM
cte-300	175	218	5	5	NUM
cte-300	175	219	51	51	NUM
cte-300	175	220	4	4	NUM
cte-300	175	221	7	7	NUM
cte-300	175	222	80	80	NUM
cte-300	175	223	5	5	NUM
cte-300	175	224	6	6	NUM
cte-300	175	225	23	23	NUM
cte-300	175	226	7	7	NUM
cte-300	175	227	6	6	NUM
cte-300	175	228	52	52	NUM
cte-300	175	229	4	4	NUM
cte-300	175	230	7	7	NUM
cte-300	175	231	81	81	NUM
cte-300	175	232	5	5	NUM
cte-300	175	233	8	8	NUM
cte-300	175	234	24	24	NUM
cte-300	175	235	7	7	NUM
cte-300	175	236	6	6	NUM
cte-300	175	237	53	53	NUM
cte-300	175	238	4	4	NUM
cte-300	175	239	7	7	NUM
cte-300	175	240	82	82	NUM
cte-300	175	241	6	6	NUM
cte-300	175	242	7	7	NUM
cte-300	175	243	25	25	NUM
cte-300	175	244	7	7	NUM
cte-300	175	245	7	7	NUM
cte-300	175	246	54	54	NUM
cte-300	175	247	1	1	NUM
cte-300	175	248	7	7	NUM
cte-300	175	249	83	83	NUM
cte-300	175	250	5	5	NUM
cte-300	175	251	6	6	NUM
cte-300	175	252	26	26	NUM
cte-300	175	253	4	4	NUM
cte-300	175	254	4	4	NUM
cte-300	175	255	55	55	NUM
cte-300	175	256	2	2	NUM
cte-300	175	257	7	7	NUM
cte-300	175	258	84	84	NUM
cte-300	175	259	6	6	NUM
cte-300	175	260	6	6	NUM
cte-300	175	261	27	27	NUM
cte-300	175	262	5	5	NUM
cte-300	175	263	3	3	NUM
cte-300	175	264	56	56	NUM
cte-300	175	265	4	4	NUM
cte-300	175	266	5	5	NUM
cte-300	175	267	85	85	NUM
cte-300	175	268	5	5	NUM
cte-300	175	269	5	5	NUM
cte-300	175	270	28	28	NUM
cte-300	175	271	5	5	NUM
cte-300	175	272	5	5	NUM
cte-300	175	273	57	57	NUM
cte-300	175	274	4	4	NUM
cte-300	175	275	4	4	NUM
cte-300	175	276	86	86	NUM
cte-300	175	277	3	3	NUM
cte-300	175	278	6	6	NUM
cte-300	175	279	29	29	NUM
cte-300	175	280	5	5	NUM
cte-300	175	281	5	5	NUM
cte-300	175	282	58	58	NUM
cte-300	175	283	3	3	NUM
cte-300	175	284	4	4	NUM
cte-300	175	285	table	table	NOUN
cte-300	175	286	3	3	NUM
cte-300	175	287	dynamics	dynamic	NOUN
cte-300	175	288	of	of	ADP
cte-300	175	289	marks	mark	NOUN
cte-300	175	290	according	accord	VERB
cte-300	175	291	to	to	ADP
cte-300	175	292	the	the	DET
cte-300	175	293	results	result	NOUN
cte-300	175	294	of	of	ADP
cte-300	175	295	students	student	NOUN
cte-300	175	296	’	'	PUNCT
cte-300	175	297	tests	test	VERB
cte-300	175	298	dynamics	dynamic	NOUN
cte-300	175	299	negative	negative	ADJ
cte-300	175	300	“	"	PUNCT
cte-300	175	301	–	–	PUNCT
cte-300	175	302	”	"	PUNCT
cte-300	175	303	without	without	ADP
cte-300	175	304	changes	change	NOUN
cte-300	175	305	“	"	PUNCT
cte-300	175	306	0	0	NUM
cte-300	175	307	”	"	PUNCT
cte-300	175	308	positive	positive	ADJ
cte-300	175	309	“	"	PUNCT
cte-300	175	310	+	+	ADJ
cte-300	175	311	”	"	PUNCT
cte-300	175	312	changes	change	NOUN
cte-300	175	313	𝑛=“–”+“+	𝑛=“–”+“+	NOUN
cte-300	175	314	”	"	PUNCT
cte-300	175	315	members	member	NOUN
cte-300	175	316	21	21	NUM
cte-300	175	317	19	19	NUM
cte-300	175	318	46	46	NUM
cte-300	175	319	25	25	NUM
cte-300	175	320	students	student	NOUN
cte-300	175	321	who	who	PRON
cte-300	175	322	have	have	AUX
cte-300	175	323	developed	develop	VERB
cte-300	175	324	the	the	DET
cte-300	175	325	skills	skill	NOUN
cte-300	175	326	to	to	AUX
cte-300	175	327	model	model	VERB
cte-300	175	328	interesting	interesting	ADJ
cte-300	175	329	curves	curve	NOUN
cte-300	175	330	using	use	VERB
cte-300	175	331	geogebra	geogebra	NOUN
cte-300	175	332	cloud	cloud	NOUN
cte-300	175	333	service	service	NOUN
cte-300	175	334	.	.	PUNCT
cte-300	176	1	469	469	NUM
cte-300	176	2	cte	cte	NOUN
cte-300	176	3	workshop	workshop	NOUN
cte-300	176	4	proceedings	proceeding	NOUN
cte-300	176	5	,	,	PUNCT
cte-300	176	6	2021	2021	NUM
cte-300	176	7	,	,	PUNCT
cte-300	176	8	vol	vol	NOUN
cte-300	176	9	.	.	NOUN
cte-300	176	10	8	8	NUM
cte-300	176	11	:	:	PUNCT
cte-300	176	12	cte-2020	cte-2020	NOUN
cte-300	176	13	,	,	PUNCT
cte-300	176	14	pp	pp	ADP
cte-300	176	15	.	.	PUNCT
cte-300	177	1	458	458	NUM
cte-300	177	2	-	-	SYM
cte-300	177	3	472	472	NUM
cte-300	177	4	6	6	NUM
cte-300	177	5	.	.	PUNCT
cte-300	177	6	conclusions	conclusion	NOUN
cte-300	177	7	1	1	NUM
cte-300	177	8	.	.	PUNCT
cte-300	177	9	author	author	NOUN
cte-300	177	10	’s	’s	PART
cte-300	177	11	methodology	methodology	NOUN
cte-300	177	12	of	of	ADP
cte-300	177	13	forming	form	VERB
cte-300	177	14	modeling	modeling	NOUN
cte-300	177	15	skills	skill	NOUN
cte-300	177	16	involves	involve	VERB
cte-300	177	17	4	4	NUM
cte-300	177	18	steps	step	NOUN
cte-300	177	19	:	:	PUNCT
cte-300	177	20	step	step	NOUN
cte-300	177	21	1	1	NUM
cte-300	177	22	–	–	PUNCT
cte-300	177	23	the	the	DET
cte-300	177	24	teacher	teacher	NOUN
cte-300	177	25	offers	offer	VERB
cte-300	177	26	an	an	DET
cte-300	177	27	example	example	NOUN
cte-300	177	28	of	of	ADP
cte-300	177	29	a	a	DET
cte-300	177	30	curve	curve	NOUN
cte-300	177	31	model	model	NOUN
cte-300	177	32	through	through	ADP
cte-300	177	33	the	the	DET
cte-300	177	34	definition	definition	NOUN
cte-300	177	35	(	(	PUNCT
cte-300	177	36	the	the	DET
cte-300	177	37	teacher	teacher	NOUN
cte-300	177	38	step	step	NOUN
cte-300	177	39	by	by	ADP
cte-300	177	40	step	step	NOUN
cte-300	177	41	constructs	construct	VERB
cte-300	177	42	the	the	DET
cte-300	177	43	curve	curve	NOUN
cte-300	177	44	)	)	PUNCT
cte-300	177	45	,	,	PUNCT
cte-300	177	46	and	and	CCONJ
cte-300	177	47	students	student	NOUN
cte-300	177	48	must	must	AUX
cte-300	177	49	write	write	VERB
cte-300	177	50	the	the	DET
cte-300	177	51	constructing	construct	VERB
cte-300	177	52	algorithm	algorithm	NOUN
cte-300	177	53	independently	independently	ADV
cte-300	177	54	;	;	PUNCT
cte-300	177	55	step	step	NOUN
cte-300	177	56	2	2	NUM
cte-300	177	57	–	–	PUNCT
cte-300	177	58	the	the	DET
cte-300	177	59	teacher	teacher	NOUN
cte-300	177	60	offers	offer	VERB
cte-300	177	61	a	a	DET
cte-300	177	62	description	description	NOUN
cte-300	177	63	-	-	PUNCT
cte-300	177	64	definition	definition	NOUN
cte-300	177	65	of	of	ADP
cte-300	177	66	the	the	DET
cte-300	177	67	curve	curve	NOUN
cte-300	177	68	and	and	CCONJ
cte-300	177	69	provides	provide	VERB
cte-300	177	70	a	a	DET
cte-300	177	71	ready	ready	ADV
cte-300	177	72	-	-	PUNCT
cte-300	177	73	made	make	VERB
cte-300	177	74	algorithm	algorithm	NOUN
cte-300	177	75	by	by	ADP
cte-300	177	76	which	which	PRON
cte-300	177	77	students	student	NOUN
cte-300	177	78	model	model	VERB
cte-300	177	79	the	the	DET
cte-300	177	80	curve	curve	NOUN
cte-300	177	81	independently	independently	ADV
cte-300	177	82	;	;	PUNCT
cte-300	177	83	step	step	NOUN
cte-300	177	84	3	3	NUM
cte-300	177	85	–	–	PUNCT
cte-300	177	86	the	the	DET
cte-300	177	87	teacher	teacher	NOUN
cte-300	177	88	offers	offer	VERB
cte-300	177	89	an	an	DET
cte-300	177	90	algorithm	algorithm	NOUN
cte-300	177	91	for	for	ADP
cte-300	177	92	constructing	construct	VERB
cte-300	177	93	a	a	DET
cte-300	177	94	curve	curve	NOUN
cte-300	177	95	model	model	NOUN
cte-300	177	96	,	,	PUNCT
cte-300	177	97	and	and	CCONJ
cte-300	177	98	students	student	NOUN
cte-300	177	99	need	need	VERB
cte-300	177	100	to	to	PART
cte-300	177	101	characterize	characterize	VERB
cte-300	177	102	the	the	DET
cte-300	177	103	properties	property	NOUN
cte-300	177	104	of	of	ADP
cte-300	177	105	the	the	DET
cte-300	177	106	curve	curve	NOUN
cte-300	177	107	or	or	CCONJ
cte-300	177	108	give	give	VERB
cte-300	177	109	its	its	PRON
cte-300	177	110	definition	definition	NOUN
cte-300	177	111	based	base	VERB
cte-300	177	112	on	on	ADP
cte-300	177	113	the	the	DET
cte-300	177	114	results	result	NOUN
cte-300	177	115	,	,	PUNCT
cte-300	177	116	step	step	NOUN
cte-300	177	117	4	4	NUM
cte-300	177	118	–	–	PUNCT
cte-300	177	119	students	student	NOUN
cte-300	177	120	are	be	AUX
cte-300	177	121	offered	offer	VERB
cte-300	177	122	to	to	PART
cte-300	177	123	define	define	VERB
cte-300	177	124	curves	curve	NOUN
cte-300	177	125	that	that	SCONJ
cte-300	177	126	they	they	PRON
cte-300	177	127	have	have	VERB
cte-300	177	128	to	to	PART
cte-300	177	129	model	model	VERB
cte-300	177	130	)	)	PUNCT
cte-300	177	131	.	.	PUNCT
cte-300	178	1	the	the	DET
cte-300	178	2	methodology	methodology	NOUN
cte-300	178	3	effectiveness	effectiveness	NOUN
cte-300	178	4	was	be	AUX
cte-300	178	5	confirmed	confirm	VERB
cte-300	178	6	by	by	ADP
cte-300	178	7	the	the	DET
cte-300	178	8	sign	sign	NOUN
cte-300	178	9	test	test	NOUN
cte-300	178	10	at	at	ADP
cte-300	178	11	the	the	DET
cte-300	178	12	significant	significant	ADJ
cte-300	178	13	level	level	NOUN
cte-300	178	14	of	of	ADP
cte-300	178	15	0.05	0.05	NUM
cte-300	178	16	.	.	PUNCT
cte-300	179	1	2	2	NUM
cte-300	179	2	.	.	X
cte-300	179	3	geogebra	geogebra	NOUN
cte-300	179	4	cloud	cloud	NOUN
cte-300	179	5	service	service	NOUN
cte-300	179	6	is	be	AUX
cte-300	179	7	effective	effective	ADJ
cte-300	179	8	for	for	ADP
cte-300	179	9	being	be	AUX
cte-300	179	10	perceived	perceive	VERB
cte-300	179	11	as	as	ADP
cte-300	179	12	a	a	DET
cte-300	179	13	means	means	NOUN
cte-300	179	14	for	for	ADP
cte-300	179	15	the	the	DET
cte-300	179	16	formation	formation	NOUN
cte-300	179	17	of	of	ADP
cte-300	179	18	students	student	NOUN
cte-300	179	19	’	'	PUNCT
cte-300	179	20	(	(	PUNCT
cte-300	179	21	pre	pre	ADJ
cte-300	179	22	-	-	ADJ
cte-300	179	23	service	service	ADJ
cte-300	179	24	mathematics	mathematic	NOUN
cte-300	179	25	and	and	CCONJ
cte-300	179	26	computer	computer	NOUN
cte-300	179	27	science	science	NOUN
cte-300	179	28	teachers	teacher	NOUN
cte-300	179	29	)	)	PUNCT
cte-300	179	30	modeling	modeling	NOUN
cte-300	179	31	skills	skill	NOUN
cte-300	179	32	.	.	PUNCT
cte-300	180	1	at	at	ADP
cte-300	180	2	the	the	DET
cte-300	180	3	same	same	ADJ
cte-300	180	4	time	time	NOUN
cte-300	180	5	,	,	PUNCT
cte-300	180	6	we	we	PRON
cte-300	180	7	consider	consider	VERB
cte-300	180	8	it	it	PRON
cte-300	180	9	is	be	AUX
cte-300	180	10	also	also	ADV
cte-300	180	11	possible	possible	ADJ
cte-300	180	12	to	to	PART
cte-300	180	13	use	use	VERB
cte-300	180	14	this	this	DET
cte-300	180	15	methodology	methodology	NOUN
cte-300	180	16	in	in	ADP
cte-300	180	17	the	the	DET
cte-300	180	18	conditions	condition	NOUN
cte-300	180	19	of	of	ADP
cte-300	180	20	traditional	traditional	ADJ
cte-300	180	21	training	training	NOUN
cte-300	180	22	with	with	ADP
cte-300	180	23	geogebra	geogebra	NOUN
cte-300	180	24	installed	instal	VERB
cte-300	180	25	on	on	ADP
cte-300	180	26	pc	pc	NOUN
cte-300	180	27	.	.	PUNCT
cte-300	181	1	references	reference	NOUN
cte-300	181	2	[	[	X
cte-300	181	3	1	1	NUM
cte-300	181	4	]	]	X
cte-300	181	5	alkhansa	alkhansa	PROPN
cte-300	181	6	,	,	PUNCT
cte-300	181	7	a.	a.	NOUN
cte-300	181	8	,	,	PUNCT
cte-300	181	9	shakeabubakor	shakeabubakor	NOUN
cte-300	181	10	,	,	PUNCT
cte-300	181	11	a.	a.	NOUN
cte-300	181	12	,	,	PUNCT
cte-300	181	13	sundararajan	sundararajan	NOUN
cte-300	181	14	,	,	PUNCT
cte-300	181	15	e.	e.	PROPN
cte-300	181	16	and	and	CCONJ
cte-300	181	17	hamdan	hamdan	PROPN
cte-300	181	18	,	,	PUNCT
cte-300	181	19	a.r	a.r	PROPN
cte-300	181	20	.	.	PROPN
cte-300	181	21	,	,	PUNCT
cte-300	181	22	2015	2015	NUM
cte-300	181	23	.	.	PUNCT
cte-300	182	1	cloud	cloud	NOUN
cte-300	182	2	computing	computing	NOUN
cte-300	182	3	services	service	NOUN
cte-300	182	4	and	and	CCONJ
cte-300	182	5	applications	application	NOUN
cte-300	182	6	to	to	PART
cte-300	182	7	improve	improve	VERB
cte-300	182	8	productivity	productivity	NOUN
cte-300	182	9	of	of	ADP
cte-300	182	10	university	university	NOUN
cte-300	182	11	researchers	researcher	NOUN
cte-300	182	12	.	.	PUNCT
cte-300	183	1	international	international	ADJ
cte-300	183	2	journal	journal	PROPN
cte-300	183	3	of	of	ADP
cte-300	183	4	information	information	NOUN
cte-300	183	5	and	and	CCONJ
cte-300	183	6	electronics	electronic	NOUN
cte-300	183	7	engineering	engineering	NOUN
cte-300	183	8	,	,	PUNCT
cte-300	183	9	5(2	5(2	NUM
cte-300	183	10	)	)	PUNCT
cte-300	183	11	,	,	PUNCT
cte-300	183	12	pp.153–157	pp.153–157	PROPN
cte-300	183	13	.	.	PUNCT
cte-300	183	14	available	available	ADJ
cte-300	183	15	from	from	ADP
cte-300	183	16	:	:	PUNCT
cte-300	183	17	https://doi.org/10.7763/ijiee.2015.v5.521	https://doi.org/10.7763/ijiee.2015.v5.521	NOUN
cte-300	183	18	.	.	PUNCT
cte-300	184	1	[	[	X
cte-300	184	2	2	2	NUM
cte-300	184	3	]	]	PUNCT
cte-300	184	4	bilousova	bilousova	X
cte-300	184	5	,	,	PUNCT
cte-300	184	6	l.i	l.i	PROPN
cte-300	184	7	.	.	PROPN
cte-300	184	8	and	and	CCONJ
cte-300	184	9	zhytyenyova	zhytyenyova	PRON
cte-300	184	10	,	,	PUNCT
cte-300	184	11	n.v	n.v	PROPN
cte-300	184	12	.	.	PROPN
cte-300	184	13	,	,	PUNCT
cte-300	184	14	2017	2017	NUM
cte-300	184	15	.	.	PUNCT
cte-300	185	1	functional	functional	ADJ
cte-300	185	2	approach	approach	NOUN
cte-300	185	3	to	to	ADP
cte-300	185	4	the	the	DET
cte-300	185	5	use	use	NOUN
cte-300	185	6	of	of	ADP
cte-300	185	7	technology	technology	NOUN
cte-300	185	8	of	of	ADP
cte-300	185	9	visualization	visualization	NOUN
cte-300	185	10	for	for	ADP
cte-300	185	11	intensification	intensification	NOUN
cte-300	185	12	of	of	ADP
cte-300	185	13	learning	learn	VERB
cte-300	185	14	process	process	NOUN
cte-300	185	15	.	.	PUNCT
cte-300	186	1	information	information	NOUN
cte-300	186	2	technologies	technology	NOUN
cte-300	186	3	and	and	CCONJ
cte-300	186	4	learning	learning	NOUN
cte-300	186	5	tools	tool	NOUN
cte-300	186	6	,	,	PUNCT
cte-300	186	7	57(1	57(1	NUM
cte-300	186	8	)	)	PUNCT
cte-300	186	9	,	,	PUNCT
cte-300	186	10	pp.38–49	pp.38–49	PROPN
cte-300	186	11	.	.	PUNCT
cte-300	187	1	available	available	ADJ
cte-300	187	2	from	from	ADP
cte-300	187	3	:	:	PUNCT
cte-300	187	4	https://doi.org/10.33407/itlt.v57i1.1525	https://doi.org/10.33407/itlt.v57i1.1525	X
cte-300	187	5	.	.	PUNCT
cte-300	188	1	[	[	X
cte-300	188	2	3	3	X
cte-300	188	3	]	]	X
cte-300	188	4	bobyliev	bobyliev	ADV
cte-300	188	5	,	,	PUNCT
cte-300	188	6	d.y	d.y	PROPN
cte-300	188	7	.	.	PROPN
cte-300	189	1	and	and	CCONJ
cte-300	189	2	vihrova	vihrova	PROPN
cte-300	189	3	,	,	PUNCT
cte-300	189	4	e.v	e.v	PROPN
cte-300	189	5	.	.	PROPN
cte-300	189	6	,	,	PUNCT
cte-300	189	7	2021	2021	NUM
cte-300	189	8	.	.	PUNCT
cte-300	190	1	problems	problem	NOUN
cte-300	190	2	and	and	CCONJ
cte-300	190	3	prospects	prospect	NOUN
cte-300	190	4	of	of	ADP
cte-300	190	5	distance	distance	NOUN
cte-300	190	6	learning	learn	VERB
cte-300	190	7	in	in	ADP
cte-300	190	8	teaching	teach	VERB
cte-300	190	9	fundamental	fundamental	ADJ
cte-300	190	10	subjects	subject	NOUN
cte-300	190	11	to	to	ADP
cte-300	190	12	future	future	ADJ
cte-300	190	13	mathematics	mathematic	NOUN
cte-300	190	14	teachers	teacher	NOUN
cte-300	190	15	.	.	PUNCT
cte-300	191	1	journal	journal	PROPN
cte-300	191	2	of	of	ADP
cte-300	191	3	physics	physics	PROPN
cte-300	191	4	:	:	PUNCT
cte-300	191	5	conference	conference	NOUN
cte-300	191	6	series	series	NOUN
cte-300	191	7	,	,	PUNCT
cte-300	191	8	1840(1	1840(1	NUM
cte-300	191	9	)	)	PUNCT
cte-300	191	10	,	,	PUNCT
cte-300	191	11	p.012002	p.012002	NOUN
cte-300	191	12	.	.	PUNCT
cte-300	192	1	available	available	ADJ
cte-300	192	2	from	from	ADP
cte-300	192	3	:	:	PUNCT
cte-300	192	4	https://doi.org/10.1088/1742-6596/	https://doi.org/10.1088/1742-6596/	NUM
cte-300	192	5	1840/1/012002	1840/1/012002	NOUN
cte-300	192	6	.	.	PUNCT
cte-300	193	1	[	[	X
cte-300	193	2	4	4	NUM
cte-300	193	3	]	]	X
cte-300	193	4	bondarenko	bondarenko	ADJ
cte-300	193	5	,	,	PUNCT
cte-300	193	6	o.	o.	PROPN
cte-300	193	7	,	,	PUNCT
cte-300	193	8	pakhomova	pakhomova	PROPN
cte-300	193	9	,	,	PUNCT
cte-300	193	10	o.	o.	NOUN
cte-300	193	11	and	and	CCONJ
cte-300	193	12	zaselskiy	zaselskiy	NOUN
cte-300	193	13	,	,	PUNCT
cte-300	193	14	v.	v.	ADP
cte-300	193	15	,	,	PUNCT
cte-300	193	16	2019	2019	NUM
cte-300	193	17	.	.	PUNCT
cte-300	194	1	the	the	DET
cte-300	194	2	use	use	NOUN
cte-300	194	3	of	of	ADP
cte-300	194	4	cloud	cloud	NOUN
cte-300	194	5	technologies	technology	NOUN
cte-300	194	6	when	when	SCONJ
cte-300	194	7	studying	study	VERB
cte-300	194	8	geography	geography	NOUN
cte-300	194	9	by	by	ADP
cte-300	194	10	higher	high	ADJ
cte-300	194	11	school	school	NOUN
cte-300	194	12	students	student	NOUN
cte-300	194	13	.	.	PUNCT
cte-300	195	1	ceur	ceur	PROPN
cte-300	195	2	workshop	workshop	NOUN
cte-300	195	3	proceedings	proceeding	NOUN
cte-300	195	4	,	,	PUNCT
cte-300	195	5	2433	2433	NUM
cte-300	195	6	,	,	PUNCT
cte-300	195	7	pp.377–390	pp.377–390	ADJ
cte-300	195	8	.	.	PUNCT
cte-300	196	1	[	[	X
cte-300	196	2	5	5	NUM
cte-300	196	3	]	]	SYM
cte-300	196	4	botuzova	botuzova	PROPN
cte-300	196	5	,	,	PUNCT
cte-300	196	6	y.	y.	NOUN
cte-300	196	7	,	,	PUNCT
cte-300	196	8	2018	2018	NUM
cte-300	196	9	.	.	PUNCT
cte-300	197	1	geogebra	geogebra	NOUN
cte-300	197	2	dynamic	dynamic	ADJ
cte-300	197	3	models	model	NOUN
cte-300	197	4	at	at	ADP
cte-300	197	5	the	the	DET
cte-300	197	6	mathematics	mathematics	NOUN
cte-300	197	7	lessons	lesson	NOUN
cte-300	197	8	as	as	ADP
cte-300	197	9	a	a	DET
cte-300	197	10	stemapproach	stemapproach	NOUN
cte-300	197	11	.	.	PUNCT
cte-300	198	1	physical	physical	ADJ
cte-300	198	2	and	and	CCONJ
cte-300	198	3	mathematical	mathematical	ADJ
cte-300	198	4	education	education	NOUN
cte-300	198	5	,	,	PUNCT
cte-300	198	6	(	(	PUNCT
cte-300	198	7	3	3	NUM
cte-300	198	8	)	)	PUNCT
cte-300	198	9	,	,	PUNCT
cte-300	198	10	pp.31–35	pp.31–35	NOUN
cte-300	198	11	.	.	PUNCT
cte-300	199	1	[	[	X
cte-300	199	2	6	6	NUM
cte-300	199	3	]	]	PUNCT
cte-300	199	4	chuhnov	chuhnov	PROPN
cte-300	199	5	,	,	PUNCT
cte-300	199	6	a.	a.	NOUN
cte-300	199	7	,	,	PUNCT
cte-300	199	8	2018	2018	NUM
cte-300	199	9	.	.	PUNCT
cte-300	200	1	constructive	constructive	ADJ
cte-300	200	2	problems	problem	NOUN
cte-300	200	3	in	in	ADP
cte-300	200	4	olympiads	olympiad	NOUN
cte-300	200	5	in	in	ADP
cte-300	200	6	mathematics	mathematic	NOUN
cte-300	200	7	and	and	CCONJ
cte-300	200	8	computer	computer	NOUN
cte-300	200	9	science	science	NOUN
cte-300	200	10	.	.	PUNCT
cte-300	201	1	computer	computer	NOUN
cte-300	201	2	tools	tool	NOUN
cte-300	201	3	in	in	ADP
cte-300	201	4	education	education	NOUN
cte-300	201	5	,	,	PUNCT
cte-300	201	6	(	(	PUNCT
cte-300	201	7	6	6	NUM
cte-300	201	8	)	)	PUNCT
cte-300	201	9	,	,	PUNCT
cte-300	201	10	pp.56–62	pp.56–62	PROPN
cte-300	201	11	.	.	PUNCT
cte-300	202	1	available	available	ADJ
cte-300	202	2	from	from	ADP
cte-300	202	3	:	:	PUNCT
cte-300	202	4	https://doi.org/10	https://doi.org/10	PROPN
cte-300	202	5	.	.	PUNCT
cte-300	203	1	32603/2071	32603/2071	NUM
cte-300	203	2	-	-	SYM
cte-300	203	3	2340	2340	NUM
cte-300	203	4	-	-	PUNCT
cte-300	203	5	2018	2018	NUM
cte-300	203	6	-	-	PUNCT
cte-300	203	7	6	6	NUM
cte-300	203	8	-	-	PUNCT
cte-300	203	9	56	56	NUM
cte-300	203	10	-	-	SYM
cte-300	203	11	62	62	NUM
cte-300	203	12	.	.	PUNCT
cte-300	204	1	[	[	X
cte-300	204	2	7	7	NUM
cte-300	204	3	]	]	SYM
cte-300	204	4	dalinger	dalinger	NOUN
cte-300	204	5	,	,	PUNCT
cte-300	204	6	v.	v.	ADP
cte-300	204	7	,	,	PUNCT
cte-300	204	8	2012	2012	NUM
cte-300	204	9	.	.	PUNCT
cte-300	205	1	methodological	methodological	ADJ
cte-300	205	2	features	feature	NOUN
cte-300	205	3	of	of	ADP
cte-300	205	4	teaching	teach	VERB
cte-300	205	5	students	student	NOUN
cte-300	205	6	planimetry	planimetry	NOUN
cte-300	205	7	in	in	ADP
cte-300	205	8	a	a	DET
cte-300	205	9	stereometric	stereometric	ADJ
cte-300	205	10	environment	environment	NOUN
cte-300	205	11	.	.	PUNCT
cte-300	206	1	modern	modern	ADJ
cte-300	206	2	high	high	ADJ
cte-300	206	3	technologies	technology	NOUN
cte-300	206	4	,	,	PUNCT
cte-300	206	5	(	(	PUNCT
cte-300	206	6	7	7	NUM
cte-300	206	7	)	)	PUNCT
cte-300	206	8	,	,	PUNCT
cte-300	206	9	pp.59–61	pp.59–61	NOUN
cte-300	206	10	.	.	PUNCT
cte-300	207	1	[	[	X
cte-300	207	2	8	8	X
cte-300	207	3	]	]	X
cte-300	207	4	dashkevich	dashkevich	PROPN
cte-300	207	5	,	,	PUNCT
cte-300	207	6	a.	a.	NOUN
cte-300	207	7	,	,	PUNCT
cte-300	207	8	2008	2008	NUM
cte-300	207	9	.	.	PUNCT
cte-300	208	1	geometric	geometric	ADJ
cte-300	208	2	modeling	modeling	NOUN
cte-300	208	3	of	of	ADP
cte-300	208	4	schemes	scheme	NOUN
cte-300	208	5	of	of	ADP
cte-300	208	6	action	action	NOUN
cte-300	208	7	of	of	ADP
cte-300	208	8	planetary	planetary	ADJ
cte-300	208	9	kneading	kneading	NOUN
cte-300	208	10	machines	machine	NOUN
cte-300	208	11	.	.	PUNCT
cte-300	209	1	ph.d	ph.d	PROPN
cte-300	209	2	.	.	PUNCT
cte-300	210	1	thesis	thesis	PROPN
cte-300	210	2	.	.	PUNCT
cte-300	211	1	kyiv	kyiv	PROPN
cte-300	211	2	.	.	PUNCT
cte-300	212	1	[	[	X
cte-300	212	2	9	9	NUM
cte-300	212	3	]	]	SYM
cte-300	212	4	geogebra	geogebra	NOUN
cte-300	212	5	,	,	PUNCT
cte-300	212	6	2020	2020	NUM
cte-300	212	7	.	.	PUNCT
cte-300	212	8	available	available	ADJ
cte-300	212	9	from	from	ADP
cte-300	212	10	:	:	PUNCT
cte-300	212	11	https://www.geogebra.org	https://www.geogebra.org	X
cte-300	212	12	.	.	PUNCT
cte-300	213	1	[	[	X
cte-300	213	2	10	10	NUM
cte-300	213	3	]	]	X
cte-300	213	4	grabar	grabar	NOUN
cte-300	213	5	,	,	PUNCT
cte-300	213	6	m.	m.	NOUN
cte-300	213	7	and	and	CCONJ
cte-300	213	8	krasnjanskaja	krasnjanskaja	PROPN
cte-300	213	9	,	,	PUNCT
cte-300	213	10	k.	k.	PROPN
cte-300	213	11	,	,	PUNCT
cte-300	213	12	1977	1977	NUM
cte-300	213	13	.	.	PUNCT
cte-300	214	1	application	application	NOUN
cte-300	214	2	of	of	ADP
cte-300	214	3	mathematical	mathematical	ADJ
cte-300	214	4	statistics	statistic	NOUN
cte-300	214	5	in	in	ADP
cte-300	214	6	pedagogical	pedagogical	ADJ
cte-300	214	7	researches	research	NOUN
cte-300	214	8	.	.	PUNCT
cte-300	215	1	nonparametric	nonparametric	NOUN
cte-300	215	2	methods	method	NOUN
cte-300	215	3	.	.	PUNCT
cte-300	216	1	moscow	moscow	PROPN
cte-300	216	2	:	:	PUNCT
cte-300	216	3	pedagogika	pedagogika	X
cte-300	216	4	.	.	PUNCT
cte-300	217	1	470	470	NUM
cte-300	217	2	https://doi.org/10.7763/ijiee.2015.v5.521	https://doi.org/10.7763/ijiee.2015.v5.521	NOUN
cte-300	217	3	https://doi.org/10.33407/itlt.v57i1.1525	https://doi.org/10.33407/itlt.v57i1.1525	X
cte-300	217	4	https://doi.org/10.1088/1742-6596/1840/1/012002	https://doi.org/10.1088/1742-6596/1840/1/012002	PROPN
cte-300	217	5	https://doi.org/10.1088/1742-6596/1840/1/012002	https://doi.org/10.1088/1742-6596/1840/1/012002	PROPN
cte-300	217	6	https://doi.org/10.32603/2071-2340-2018-6-56-62	https://doi.org/10.32603/2071-2340-2018-6-56-62	VERB
cte-300	217	7	https://doi.org/10.32603/2071-2340-2018-6-56-62	https://doi.org/10.32603/2071-2340-2018-6-56-62	PUNCT
cte-300	217	8	https://www.geogebra.org	https://www.geogebra.org	PROPN
cte-300	217	9	cte	cte	PROPN
cte-300	217	10	workshop	workshop	NOUN
cte-300	217	11	proceedings	proceeding	NOUN
cte-300	217	12	,	,	PUNCT
cte-300	217	13	2021	2021	NUM
cte-300	217	14	,	,	PUNCT
cte-300	217	15	vol	vol	NOUN
cte-300	217	16	.	.	NOUN
cte-300	217	17	8	8	NUM
cte-300	217	18	:	:	PUNCT
cte-300	217	19	cte-2020	cte-2020	NOUN
cte-300	217	20	,	,	PUNCT
cte-300	217	21	pp	pp	ADP
cte-300	217	22	.	.	PUNCT
cte-300	218	1	458	458	NUM
cte-300	218	2	-	-	SYM
cte-300	218	3	472	472	NUM
cte-300	218	4	[	[	X
cte-300	218	5	11	11	NUM
cte-300	218	6	]	]	X
cte-300	218	7	hrybiuk	hrybiuk	NOUN
cte-300	218	8	,	,	PUNCT
cte-300	218	9	o.	o.	INTJ
cte-300	218	10	,	,	PUNCT
cte-300	218	11	2020	2020	NUM
cte-300	218	12	.	.	PUNCT
cte-300	219	1	system	system	NOUN
cte-300	219	2	of	of	ADP
cte-300	219	3	dynamic	dynamic	ADJ
cte-300	219	4	mathematics	mathematic	NOUN
cte-300	219	5	of	of	ADP
cte-300	219	6	geogebra	geogebra	NOUN
cte-300	219	7	as	as	ADP
cte-300	219	8	a	a	DET
cte-300	219	9	means	means	NOUN
cte-300	219	10	of	of	ADP
cte-300	219	11	supporting	support	VERB
cte-300	219	12	general	general	ADJ
cte-300	219	13	and	and	CCONJ
cte-300	219	14	special	special	ADJ
cte-300	219	15	abilities	ability	NOUN
cte-300	219	16	of	of	ADP
cte-300	219	17	students	student	NOUN
cte-300	219	18	in	in	ADP
cte-300	219	19	the	the	DET
cte-300	219	20	process	process	NOUN
cte-300	219	21	of	of	ADP
cte-300	219	22	research	research	NOUN
cte-300	219	23	learning	learning	NOUN
cte-300	219	24	:	:	PUNCT
cte-300	219	25	practical	practical	ADJ
cte-300	219	26	work	work	NOUN
cte-300	219	27	experience	experience	NOUN
cte-300	219	28	.	.	PUNCT
cte-300	220	1	physical	physical	ADJ
cte-300	220	2	and	and	CCONJ
cte-300	220	3	mathematical	mathematical	ADJ
cte-300	220	4	education	education	NOUN
cte-300	220	5	,	,	PUNCT
cte-300	220	6	(	(	PUNCT
cte-300	220	7	2	2	NUM
cte-300	220	8	)	)	PUNCT
cte-300	220	9	,	,	PUNCT
cte-300	220	10	pp.37–51	pp.37–51	INTJ
cte-300	220	11	.	.	PUNCT
cte-300	221	1	[	[	X
cte-300	221	2	12	12	NUM
cte-300	221	3	]	]	PUNCT
cte-300	221	4	ivanina	ivanina	NOUN
cte-300	221	5	,	,	PUNCT
cte-300	221	6	t.	t.	PROPN
cte-300	221	7	,	,	PUNCT
cte-300	221	8	2010	2010	NUM
cte-300	221	9	.	.	PUNCT
cte-300	222	1	the	the	DET
cte-300	222	2	role	role	NOUN
cte-300	222	3	of	of	ADP
cte-300	222	4	constructive	constructive	ADJ
cte-300	222	5	activity	activity	NOUN
cte-300	222	6	in	in	ADP
cte-300	222	7	the	the	DET
cte-300	222	8	development	development	NOUN
cte-300	222	9	of	of	ADP
cte-300	222	10	the	the	DET
cte-300	222	11	child	child	NOUN
cte-300	222	12	.	.	PUNCT
cte-300	223	1	bulletin	bulletin	NOUN
cte-300	223	2	of	of	ADP
cte-300	223	3	the	the	DET
cte-300	223	4	krasnoyarsk	krasnoyarsk	PROPN
cte-300	223	5	state	state	PROPN
cte-300	223	6	pedagogical	pedagogical	PROPN
cte-300	223	7	university	university	NOUN
cte-300	223	8	,	,	PUNCT
cte-300	223	9	(	(	PUNCT
cte-300	223	10	3	3	NUM
cte-300	223	11	)	)	PUNCT
cte-300	223	12	,	,	PUNCT
cte-300	223	13	pp.19–23	pp.19–23	NOUN
cte-300	223	14	.	.	PUNCT
cte-300	224	1	[	[	X
cte-300	224	2	13	13	NUM
cte-300	224	3	]	]	SYM
cte-300	224	4	kholoshyn	kholoshyn	PROPN
cte-300	224	5	,	,	PUNCT
cte-300	224	6	i.	i.	PROPN
cte-300	224	7	,	,	PUNCT
cte-300	224	8	bondarenko	bondarenko	PROPN
cte-300	224	9	,	,	PUNCT
cte-300	224	10	o.	o.	INTJ
cte-300	224	11	,	,	PUNCT
cte-300	224	12	hanchuk	hanchuk	ADJ
cte-300	224	13	,	,	PUNCT
cte-300	224	14	o.	o.	PROPN
cte-300	224	15	and	and	CCONJ
cte-300	224	16	shmeltser	shmeltser	PROPN
cte-300	224	17	,	,	PUNCT
cte-300	224	18	e.	e.	PROPN
cte-300	224	19	,	,	PUNCT
cte-300	224	20	2019	2019	NUM
cte-300	224	21	.	.	PUNCT
cte-300	225	1	cloud	cloud	PROPN
cte-300	225	2	arcgis	arcgis	PROPN
cte-300	225	3	online	online	ADV
cte-300	225	4	as	as	ADP
cte-300	225	5	an	an	DET
cte-300	225	6	innovative	innovative	ADJ
cte-300	225	7	tool	tool	NOUN
cte-300	225	8	for	for	ADP
cte-300	225	9	developing	develop	VERB
cte-300	225	10	geoinformation	geoinformation	NOUN
cte-300	225	11	competence	competence	NOUN
cte-300	225	12	with	with	ADP
cte-300	225	13	future	future	ADJ
cte-300	225	14	geography	geography	NOUN
cte-300	225	15	teachers	teacher	NOUN
cte-300	225	16	.	.	PUNCT
cte-300	226	1	ceur	ceur	PROPN
cte-300	226	2	workshop	workshop	NOUN
cte-300	226	3	proceedings	proceeding	NOUN
cte-300	226	4	,	,	PUNCT
cte-300	226	5	2433	2433	NUM
cte-300	226	6	,	,	PUNCT
cte-300	226	7	pp.403–412	pp.403–412	PROPN
cte-300	226	8	.	.	PUNCT
cte-300	227	1	[	[	X
cte-300	227	2	14	14	NUM
cte-300	227	3	]	]	X
cte-300	227	4	kholoshyn	kholoshyn	PROPN
cte-300	227	5	,	,	PUNCT
cte-300	227	6	i.	i.	PROPN
cte-300	227	7	,	,	PUNCT
cte-300	227	8	bondarenko	bondarenko	PROPN
cte-300	227	9	,	,	PUNCT
cte-300	227	10	o.	o.	INTJ
cte-300	227	11	,	,	PUNCT
cte-300	227	12	hanchuk	hanchuk	ADJ
cte-300	227	13	,	,	PUNCT
cte-300	227	14	o.	o.	PROPN
cte-300	227	15	and	and	CCONJ
cte-300	227	16	varfolomyeyeva	varfolomyeyeva	PROPN
cte-300	227	17	,	,	PUNCT
cte-300	227	18	i.	i.	PROPN
cte-300	227	19	,	,	PUNCT
cte-300	227	20	2020	2020	NUM
cte-300	227	21	.	.	PUNCT
cte-300	228	1	cloud	cloud	NOUN
cte-300	228	2	technologies	technology	NOUN
cte-300	228	3	as	as	ADP
cte-300	228	4	a	a	DET
cte-300	228	5	tool	tool	NOUN
cte-300	228	6	of	of	ADP
cte-300	228	7	creating	create	VERB
cte-300	228	8	earth	earth	NOUN
cte-300	228	9	remote	remote	ADJ
cte-300	228	10	sensing	sense	VERB
cte-300	228	11	educational	educational	ADJ
cte-300	228	12	resources	resource	NOUN
cte-300	228	13	.	.	PUNCT
cte-300	229	1	ceur	ceur	PROPN
cte-300	229	2	workshop	workshop	NOUN
cte-300	229	3	proceedings	proceeding	NOUN
cte-300	229	4	,	,	PUNCT
cte-300	229	5	2643	2643	NUM
cte-300	229	6	,	,	PUNCT
cte-300	229	7	pp.474–486	pp.474–486	NOUN
cte-300	229	8	.	.	PUNCT
cte-300	230	1	[	[	X
cte-300	230	2	15	15	NUM
cte-300	230	3	]	]	X
cte-300	230	4	kiv	kiv	PROPN
cte-300	230	5	,	,	PUNCT
cte-300	230	6	a.	a.	PROPN
cte-300	230	7	,	,	PUNCT
cte-300	230	8	shyshkina	shyshkina	PROPN
cte-300	230	9	,	,	PUNCT
cte-300	230	10	m.	m.	NOUN
cte-300	230	11	,	,	PUNCT
cte-300	230	12	semerikov	semerikov	PROPN
cte-300	230	13	,	,	PUNCT
cte-300	230	14	s.	s.	PROPN
cte-300	230	15	,	,	PUNCT
cte-300	230	16	striuk	striuk	NOUN
cte-300	230	17	,	,	PUNCT
cte-300	230	18	a.	a.	NOUN
cte-300	230	19	,	,	PUNCT
cte-300	230	20	striuk	striuk	NOUN
cte-300	230	21	,	,	PUNCT
cte-300	230	22	m.	m.	NOUN
cte-300	230	23	and	and	CCONJ
cte-300	230	24	shalatska	shalatska	NOUN
cte-300	230	25	,	,	PUNCT
cte-300	230	26	h.	h.	PROPN
cte-300	230	27	,	,	PUNCT
cte-300	230	28	2020	2020	NUM
cte-300	230	29	.	.	PUNCT
cte-300	231	1	cte	cte	PROPN
cte-300	231	2	2019	2019	NUM
cte-300	231	3	when	when	SCONJ
cte-300	231	4	cloud	cloud	NOUN
cte-300	231	5	technologies	technology	NOUN
cte-300	231	6	ruled	rule	VERB
cte-300	231	7	the	the	DET
cte-300	231	8	education	education	NOUN
cte-300	231	9	.	.	PUNCT
cte-300	232	1	ceur	ceur	PROPN
cte-300	232	2	workshop	workshop	NOUN
cte-300	232	3	proceedings	proceeding	NOUN
cte-300	232	4	,	,	PUNCT
cte-300	232	5	2643	2643	NUM
cte-300	232	6	,	,	PUNCT
cte-300	232	7	pp.1–59	pp.1–59	NOUN
cte-300	232	8	.	.	PUNCT
cte-300	233	1	available	available	ADJ
cte-300	233	2	from	from	ADP
cte-300	233	3	:	:	PUNCT
cte-300	233	4	http://ceur-ws.org/vol-2643/paper00.pdf	http://ceur-ws.org/vol-2643/paper00.pdf	PROPN
cte-300	233	5	.	.	PUNCT
cte-300	234	1	[	[	X
cte-300	234	2	16	16	NUM
cte-300	234	3	]	]	X
cte-300	234	4	kiv	kiv	PROPN
cte-300	234	5	,	,	PUNCT
cte-300	234	6	a.	a.	PROPN
cte-300	234	7	,	,	PUNCT
cte-300	234	8	soloviev	soloviev	PROPN
cte-300	234	9	,	,	PUNCT
cte-300	234	10	v.	v.	NOUN
cte-300	234	11	and	and	CCONJ
cte-300	234	12	semerikov	semerikov	PROPN
cte-300	234	13	,	,	PUNCT
cte-300	234	14	s.	s.	PROPN
cte-300	234	15	,	,	PUNCT
cte-300	234	16	2019	2019	NUM
cte-300	234	17	.	.	PUNCT
cte-300	235	1	cte	cte	PROPN
cte-300	235	2	2018	2018	NUM
cte-300	235	3	–	–	PUNCT
cte-300	235	4	how	how	SCONJ
cte-300	235	5	cloud	cloud	ADJ
cte-300	235	6	technologies	technology	NOUN
cte-300	235	7	continues	continue	VERB
cte-300	235	8	to	to	PART
cte-300	235	9	transform	transform	VERB
cte-300	235	10	education	education	NOUN
cte-300	235	11	.	.	PUNCT
cte-300	236	1	ceur	ceur	PROPN
cte-300	236	2	workshop	workshop	NOUN
cte-300	236	3	proceedings	proceeding	NOUN
cte-300	236	4	,	,	PUNCT
cte-300	236	5	2433	2433	NUM
cte-300	236	6	,	,	PUNCT
cte-300	236	7	pp.1–19	pp.1–19	NOUN
cte-300	236	8	.	.	PUNCT
cte-300	237	1	available	available	ADJ
cte-300	237	2	from	from	ADP
cte-300	237	3	:	:	PUNCT
cte-300	237	4	http	http	ADJ
cte-300	237	5	:	:	PUNCT
cte-300	237	6	//ceur	//ceur	ADJ
cte-300	237	7	-	-	PUNCT
cte-300	237	8	ws.org	ws.org	ADJ
cte-300	237	9	/	/	SYM
cte-300	237	10	vol-2433	vol-2433	NOUN
cte-300	237	11	/	/	SYM
cte-300	237	12	paper00.pdf	paper00.pdf	NOUN
cte-300	237	13	.	.	PUNCT
cte-300	238	1	[	[	X
cte-300	238	2	17	17	NUM
cte-300	238	3	]	]	X
cte-300	238	4	kononenko	kononenko	NOUN
cte-300	238	5	,	,	PUNCT
cte-300	238	6	n.	n.	NOUN
cte-300	238	7	,	,	PUNCT
cte-300	238	8	2010	2010	NUM
cte-300	238	9	.	.	PUNCT
cte-300	239	1	features	feature	NOUN
cte-300	239	2	of	of	ADP
cte-300	239	3	the	the	DET
cte-300	239	4	development	development	NOUN
cte-300	239	5	of	of	ADP
cte-300	239	6	the	the	DET
cte-300	239	7	constructive	constructive	ADJ
cte-300	239	8	component	component	NOUN
cte-300	239	9	of	of	ADP
cte-300	239	10	mental	mental	ADJ
cte-300	239	11	activity	activity	NOUN
cte-300	239	12	in	in	ADP
cte-300	239	13	the	the	DET
cte-300	239	14	field	field	NOUN
cte-300	239	15	of	of	ADP
cte-300	239	16	geometry	geometry	NOUN
cte-300	239	17	in	in	ADP
cte-300	239	18	schoolchildren	schoolchildren	NOUN
cte-300	239	19	.	.	PUNCT
cte-300	240	1	scientific	scientific	ADJ
cte-300	240	2	notes	note	NOUN
cte-300	240	3	of	of	ADP
cte-300	240	4	the	the	DET
cte-300	240	5	trans	trans	PROPN
cte-300	240	6	-	-	PROPN
cte-300	240	7	baikal	baikal	PROPN
cte-300	240	8	state	state	PROPN
cte-300	240	9	university	university	PROPN
cte-300	240	10	.	.	PUNCT
cte-300	241	1	series	series	PROPN
cte-300	241	2	:	:	PUNCT
cte-300	242	1	physics	physics	PROPN
cte-300	242	2	,	,	PUNCT
cte-300	242	3	mathematics	mathematic	NOUN
cte-300	242	4	,	,	PUNCT
cte-300	242	5	engineering	engineering	NOUN
cte-300	242	6	,	,	PUNCT
cte-300	242	7	technology	technology	NOUN
cte-300	242	8	,	,	PUNCT
cte-300	242	9	(	(	PUNCT
cte-300	242	10	2	2	NUM
cte-300	242	11	)	)	PUNCT
cte-300	242	12	,	,	PUNCT
cte-300	242	13	pp.128–131	pp.128–131	PROPN
cte-300	242	14	.	.	PUNCT
cte-300	243	1	[	[	X
cte-300	243	2	18	18	NUM
cte-300	243	3	]	]	X
cte-300	243	4	korotun	korotun	NOUN
cte-300	243	5	,	,	PUNCT
cte-300	243	6	o.	o.	INTJ
cte-300	243	7	,	,	PUNCT
cte-300	243	8	vakaliuk	vakaliuk	NOUN
cte-300	243	9	,	,	PUNCT
cte-300	243	10	t.	t.	NOUN
cte-300	243	11	and	and	CCONJ
cte-300	243	12	soloviev	soloviev	PROPN
cte-300	243	13	,	,	PUNCT
cte-300	243	14	v.	v.	ADV
cte-300	243	15	,	,	PUNCT
cte-300	243	16	2020	2020	NUM
cte-300	243	17	.	.	PUNCT
cte-300	244	1	model	model	NOUN
cte-300	244	2	of	of	ADP
cte-300	244	3	using	use	VERB
cte-300	244	4	cloud	cloud	NOUN
cte-300	244	5	-	-	PUNCT
cte-300	244	6	based	base	VERB
cte-300	244	7	environment	environment	NOUN
cte-300	244	8	in	in	ADP
cte-300	244	9	training	training	NOUN
cte-300	244	10	databases	database	NOUN
cte-300	244	11	of	of	ADP
cte-300	244	12	future	future	NOUN
cte-300	244	13	it	it	PRON
cte-300	244	14	specialists	specialist	VERB
cte-300	244	15	.	.	PUNCT
cte-300	245	1	ceur	ceur	PROPN
cte-300	245	2	workshop	workshop	NOUN
cte-300	245	3	proceedings	proceeding	NOUN
cte-300	245	4	,	,	PUNCT
cte-300	245	5	2643	2643	NUM
cte-300	245	6	,	,	PUNCT
cte-300	245	7	pp.281–292	pp.281–292	NOUN
cte-300	245	8	.	.	PUNCT
cte-300	246	1	[	[	X
cte-300	246	2	19	19	NUM
cte-300	246	3	]	]	X
cte-300	246	4	kramarenko	kramarenko	PROPN
cte-300	246	5	,	,	PUNCT
cte-300	246	6	t.	t.	PROPN
cte-300	246	7	,	,	PUNCT
cte-300	246	8	pylypenko	pylypenko	ADJ
cte-300	246	9	,	,	PUNCT
cte-300	246	10	o.	o.	NOUN
cte-300	246	11	and	and	CCONJ
cte-300	246	12	muzyka	muzyka	PROPN
cte-300	246	13	,	,	PUNCT
cte-300	246	14	i.	i.	NOUN
cte-300	246	15	,	,	PUNCT
cte-300	246	16	2020	2020	NUM
cte-300	246	17	.	.	PUNCT
cte-300	246	18	application	application	NOUN
cte-300	246	19	of	of	ADP
cte-300	246	20	geogebra	geogebra	NOUN
cte-300	246	21	in	in	ADP
cte-300	246	22	stereometry	stereometry	NOUN
cte-300	246	23	teaching	teaching	NOUN
cte-300	246	24	.	.	PUNCT
cte-300	247	1	ceur	ceur	PROPN
cte-300	247	2	workshop	workshop	NOUN
cte-300	247	3	proceedings	proceeding	NOUN
cte-300	247	4	,	,	PUNCT
cte-300	247	5	2643	2643	NUM
cte-300	247	6	,	,	PUNCT
cte-300	247	7	pp.705–718	pp.705–718	NOUN
cte-300	247	8	.	.	PUNCT
cte-300	248	1	[	[	X
cte-300	248	2	20	20	NUM
cte-300	248	3	]	]	X
cte-300	248	4	kramarenko	kramarenko	PROPN
cte-300	248	5	,	,	PUNCT
cte-300	248	6	t.	t.	PROPN
cte-300	248	7	,	,	PUNCT
cte-300	248	8	pylypenko	pylypenko	ADJ
cte-300	248	9	,	,	PUNCT
cte-300	248	10	o.	o.	NOUN
cte-300	248	11	and	and	CCONJ
cte-300	248	12	zaselskiy	zaselskiy	NOUN
cte-300	248	13	,	,	PUNCT
cte-300	248	14	v.	v.	ADV
cte-300	248	15	,	,	PUNCT
cte-300	248	16	2020	2020	NUM
cte-300	248	17	.	.	PUNCT
cte-300	249	1	prospects	prospect	NOUN
cte-300	249	2	of	of	ADP
cte-300	249	3	using	use	VERB
cte-300	249	4	the	the	DET
cte-300	249	5	augmented	augment	VERB
cte-300	249	6	reality	reality	NOUN
cte-300	249	7	application	application	NOUN
cte-300	249	8	in	in	ADP
cte-300	249	9	stem	stem	NOUN
cte-300	249	10	-	-	PUNCT
cte-300	249	11	based	base	VERB
cte-300	249	12	mathematics	mathematic	NOUN
cte-300	249	13	teaching	teaching	NOUN
cte-300	249	14	.	.	PUNCT
cte-300	250	1	ceur	ceur	PROPN
cte-300	250	2	workshop	workshop	NOUN
cte-300	250	3	proceedings	proceeding	NOUN
cte-300	250	4	,	,	PUNCT
cte-300	250	5	2547	2547	NUM
cte-300	250	6	,	,	PUNCT
cte-300	250	7	pp.130–144	pp.130–144	PROPN
cte-300	250	8	.	.	PUNCT
cte-300	251	1	[	[	X
cte-300	251	2	21	21	NUM
cte-300	251	3	]	]	X
cte-300	251	4	laksha	laksha	PROPN
cte-300	251	5	,	,	PUNCT
cte-300	251	6	e.	e.	PROPN
cte-300	251	7	,	,	PUNCT
cte-300	251	8	2008	2008	NUM
cte-300	251	9	.	.	PUNCT
cte-300	252	1	the	the	DET
cte-300	252	2	role	role	NOUN
cte-300	252	3	of	of	ADP
cte-300	252	4	students	student	NOUN
cte-300	252	5	’	'	PUNCT
cte-300	252	6	constructive	constructive	ADJ
cte-300	252	7	skills	skill	NOUN
cte-300	252	8	in	in	ADP
cte-300	252	9	preparation	preparation	NOUN
cte-300	252	10	for	for	ADP
cte-300	252	11	professional	professional	ADJ
cte-300	252	12	activity	activity	NOUN
cte-300	252	13	.	.	PUNCT
cte-300	252	14	2008	2008	NUM
cte-300	252	15	conference	conference	NOUN
cte-300	252	16	creativity	creativity	NOUN
cte-300	252	17	and	and	CCONJ
cte-300	252	18	research	research	NOUN
cte-300	252	19	in	in	ADP
cte-300	252	20	mathematics	mathematic	NOUN
cte-300	252	21	education	education	NOUN
cte-300	252	22	.	.	PUNCT
cte-300	253	1	pp.41–43	pp.41–43	PROPN
cte-300	253	2	.	.	PUNCT
cte-300	254	1	[	[	X
cte-300	254	2	22	22	NUM
cte-300	254	3	]	]	PUNCT
cte-300	254	4	lisimova	lisimova	PROPN
cte-300	254	5	,	,	PUNCT
cte-300	254	6	o.	o.	NOUN
cte-300	254	7	,	,	PUNCT
cte-300	254	8	1997	1997	NUM
cte-300	254	9	.	.	PUNCT
cte-300	255	1	the	the	DET
cte-300	255	2	system	system	NOUN
cte-300	255	3	of	of	ADP
cte-300	255	4	design	design	NOUN
cte-300	255	5	tasks	task	NOUN
cte-300	255	6	as	as	ADP
cte-300	255	7	a	a	DET
cte-300	255	8	method	method	NOUN
cte-300	255	9	for	for	ADP
cte-300	255	10	studying	study	VERB
cte-300	255	11	planimetry	planimetry	NOUN
cte-300	255	12	in	in	ADP
cte-300	255	13	grade	grade	NOUN
cte-300	255	14	7	7	NUM
cte-300	255	15	.	.	PUNCT
cte-300	255	16	ph.d	ph.d	PROPN
cte-300	255	17	.	.	PUNCT
cte-300	256	1	thesis	thesis	PROPN
cte-300	256	2	.	.	PUNCT
cte-300	257	1	saint	saint	PROPN
cte-300	257	2	petersburg	petersburg	PROPN
cte-300	257	3	.	.	PUNCT
cte-300	258	1	[	[	X
cte-300	258	2	23	23	NUM
cte-300	258	3	]	]	X
cte-300	258	4	lovianova	lovianova	PROPN
cte-300	258	5	,	,	PUNCT
cte-300	258	6	i.	i.	PROPN
cte-300	258	7	,	,	PUNCT
cte-300	258	8	bobyliev	bobyliev	PROPN
cte-300	258	9	,	,	PUNCT
cte-300	258	10	d.	d.	PROPN
cte-300	258	11	and	and	CCONJ
cte-300	258	12	uchitel	uchitel	PROPN
cte-300	258	13	,	,	PUNCT
cte-300	258	14	a.	a.	NOUN
cte-300	258	15	,	,	PUNCT
cte-300	258	16	2019	2019	NUM
cte-300	258	17	.	.	PUNCT
cte-300	259	1	cloud	cloud	NOUN
cte-300	259	2	calculations	calculation	NOUN
cte-300	259	3	within	within	ADP
cte-300	259	4	the	the	DET
cte-300	259	5	optional	optional	ADJ
cte-300	259	6	course	course	NOUN
cte-300	259	7	optimization	optimization	NOUN
cte-300	259	8	problems	problem	NOUN
cte-300	259	9	for	for	ADP
cte-300	259	10	10th-11th	10th-11th	NUM
cte-300	259	11	graders	grader	NOUN
cte-300	259	12	.	.	PUNCT
cte-300	260	1	ceur	ceur	PROPN
cte-300	260	2	workshop	workshop	NOUN
cte-300	260	3	proceedings	proceeding	NOUN
cte-300	260	4	,	,	PUNCT
cte-300	260	5	2433	2433	NUM
cte-300	260	6	,	,	PUNCT
cte-300	260	7	pp.459–471	pp.459–471	NOUN
cte-300	260	8	.	.	PUNCT
cte-300	261	1	[	[	X
cte-300	261	2	24	24	NUM
cte-300	261	3	]	]	PUNCT
cte-300	261	4	markova	markova	X
cte-300	261	5	,	,	PUNCT
cte-300	261	6	o.	o.	PROPN
cte-300	261	7	,	,	PUNCT
cte-300	261	8	semerikov	semerikov	PROPN
cte-300	261	9	,	,	PUNCT
cte-300	261	10	s.	s.	PROPN
cte-300	261	11	and	and	CCONJ
cte-300	261	12	popel	popel	PROPN
cte-300	261	13	,	,	PUNCT
cte-300	261	14	m.	m.	NOUN
cte-300	261	15	,	,	PUNCT
cte-300	261	16	2018	2018	NUM
cte-300	261	17	.	.	PUNCT
cte-300	262	1	cocalc	cocalc	NOUN
cte-300	262	2	as	as	ADP
cte-300	262	3	a	a	DET
cte-300	262	4	learning	learn	VERB
cte-300	262	5	tool	tool	NOUN
cte-300	262	6	for	for	ADP
cte-300	262	7	neural	neural	ADJ
cte-300	262	8	network	network	NOUN
cte-300	262	9	simulation	simulation	NOUN
cte-300	262	10	in	in	ADP
cte-300	262	11	the	the	DET
cte-300	262	12	special	special	ADJ
cte-300	262	13	course	course	NOUN
cte-300	262	14	"	"	PUNCT
cte-300	262	15	foundations	foundation	NOUN
cte-300	262	16	of	of	ADP
cte-300	262	17	mathematic	mathematic	ADJ
cte-300	262	18	informatics	informatic	NOUN
cte-300	262	19	"	"	PUNCT
cte-300	262	20	.	.	PUNCT
cte-300	263	1	ceur	ceur	PROPN
cte-300	263	2	workshop	workshop	NOUN
cte-300	263	3	proceedings	proceeding	NOUN
cte-300	263	4	,	,	PUNCT
cte-300	263	5	2104	2104	NUM
cte-300	263	6	,	,	PUNCT
cte-300	263	7	pp.388–403	pp.388–403	NOUN
cte-300	263	8	.	.	PUNCT
cte-300	264	1	[	[	X
cte-300	264	2	25	25	NUM
cte-300	264	3	]	]	PUNCT
cte-300	264	4	markova	markova	X
cte-300	264	5	,	,	PUNCT
cte-300	264	6	o.	o.	PROPN
cte-300	264	7	,	,	PUNCT
cte-300	264	8	semerikov	semerikov	PROPN
cte-300	264	9	,	,	PUNCT
cte-300	264	10	s.	s.	PROPN
cte-300	264	11	,	,	PUNCT
cte-300	264	12	striuk	striuk	NOUN
cte-300	264	13	,	,	PUNCT
cte-300	264	14	a.	a.	NOUN
cte-300	264	15	,	,	PUNCT
cte-300	264	16	shalatska	shalatska	NOUN
cte-300	264	17	,	,	PUNCT
cte-300	264	18	h.	h.	PROPN
cte-300	264	19	,	,	PUNCT
cte-300	264	20	nechypurenko	nechypurenko	PROPN
cte-300	264	21	,	,	PUNCT
cte-300	264	22	p.	p.	NOUN
cte-300	264	23	and	and	CCONJ
cte-300	264	24	tron	tron	PROPN
cte-300	264	25	,	,	PUNCT
cte-300	264	26	v.	v.	ADP
cte-300	264	27	,	,	PUNCT
cte-300	264	28	2019	2019	NUM
cte-300	264	29	.	.	PUNCT
cte-300	265	1	implementation	implementation	NOUN
cte-300	265	2	of	of	ADP
cte-300	265	3	cloud	cloud	NOUN
cte-300	265	4	service	service	NOUN
cte-300	265	5	models	model	NOUN
cte-300	265	6	in	in	ADP
cte-300	265	7	training	training	NOUN
cte-300	265	8	of	of	ADP
cte-300	265	9	future	future	ADJ
cte-300	265	10	information	information	NOUN
cte-300	265	11	technology	technology	NOUN
cte-300	265	12	specialists	specialist	NOUN
cte-300	265	13	.	.	PUNCT
cte-300	266	1	ceur	ceur	PROPN
cte-300	266	2	workshop	workshop	NOUN
cte-300	266	3	proceedings	proceeding	NOUN
cte-300	266	4	,	,	PUNCT
cte-300	266	5	2433	2433	NUM
cte-300	266	6	,	,	PUNCT
cte-300	266	7	pp.499–515	pp.499–515	NOUN
cte-300	266	8	.	.	PUNCT
cte-300	267	1	[	[	X
cte-300	267	2	26	26	NUM
cte-300	267	3	]	]	X
cte-300	267	4	merzlykin	merzlykin	X
cte-300	267	5	,	,	PUNCT
cte-300	267	6	p.	p.	NOUN
cte-300	267	7	,	,	PUNCT
cte-300	267	8	popel	popel	NOUN
cte-300	267	9	,	,	PUNCT
cte-300	267	10	m.	m.	NOUN
cte-300	267	11	and	and	CCONJ
cte-300	267	12	shokaliuk	shokaliuk	NOUN
cte-300	267	13	,	,	PUNCT
cte-300	267	14	s.	s.	PROPN
cte-300	267	15	,	,	PUNCT
cte-300	267	16	2017	2017	NUM
cte-300	267	17	.	.	PUNCT
cte-300	268	1	services	service	NOUN
cte-300	268	2	of	of	ADP
cte-300	268	3	sagemathcloud	sagemathcloud	ADJ
cte-300	268	4	environment	environment	NOUN
cte-300	268	5	and	and	CCONJ
cte-300	268	6	their	their	PRON
cte-300	268	7	didactic	didactic	ADJ
cte-300	268	8	potential	potential	NOUN
cte-300	268	9	in	in	ADP
cte-300	268	10	learning	learning	NOUN
cte-300	268	11	of	of	ADP
cte-300	268	12	informatics	informatic	NOUN
cte-300	268	13	and	and	CCONJ
cte-300	268	14	mathematical	mathematical	ADJ
cte-300	268	15	disciplines	discipline	NOUN
cte-300	268	16	.	.	PUNCT
cte-300	269	1	ceur	ceur	PROPN
cte-300	269	2	workshop	workshop	NOUN
cte-300	269	3	proceedings	proceeding	NOUN
cte-300	269	4	,	,	PUNCT
cte-300	269	5	2168	2168	NUM
cte-300	269	6	,	,	PUNCT
cte-300	269	7	pp.13–19	pp.13–19	NOUN
cte-300	269	8	.	.	PUNCT
cte-300	270	1	[	[	X
cte-300	270	2	27	27	NUM
cte-300	270	3	]	]	X
cte-300	270	4	nechypurenko	nechypurenko	PROPN
cte-300	270	5	,	,	PUNCT
cte-300	270	6	p.	p.	PROPN
cte-300	270	7	,	,	PUNCT
cte-300	270	8	selivanova	selivanova	PROPN
cte-300	270	9	,	,	PUNCT
cte-300	270	10	t.	t.	PROPN
cte-300	270	11	and	and	CCONJ
cte-300	270	12	chernova	chernova	PROPN
cte-300	270	13	,	,	PUNCT
cte-300	270	14	m.	m.	NOUN
cte-300	270	15	,	,	PUNCT
cte-300	270	16	2019	2019	NUM
cte-300	270	17	.	.	PUNCT
cte-300	271	1	using	use	VERB
cte-300	271	2	the	the	DET
cte-300	271	3	cloud	cloud	NOUN
cte-300	271	4	-	-	PUNCT
cte-300	271	5	oriented	orient	VERB
cte-300	271	6	virtual	virtual	ADJ
cte-300	271	7	471	471	NUM
cte-300	271	8	http://ceur-ws.org/vol-2643/paper00.pdf	http://ceur-ws.org/vol-2643/paper00.pdf	NOUN
cte-300	271	9	http://ceur-ws.org/vol-2433/paper00.pdf	http://ceur-ws.org/vol-2433/paper00.pdf	PROPN
cte-300	271	10	http://ceur-ws.org/vol-2433/paper00.pdf	http://ceur-ws.org/vol-2433/paper00.pdf	PROPN
cte-300	271	11	cte	cte	NOUN
cte-300	271	12	workshop	workshop	NOUN
cte-300	271	13	proceedings	proceeding	NOUN
cte-300	271	14	,	,	PUNCT
cte-300	271	15	2021	2021	NUM
cte-300	271	16	,	,	PUNCT
cte-300	271	17	vol	vol	NOUN
cte-300	271	18	.	.	NOUN
cte-300	271	19	8	8	NUM
cte-300	271	20	:	:	PUNCT
cte-300	271	21	cte-2020	cte-2020	NOUN
cte-300	271	22	,	,	PUNCT
cte-300	271	23	pp	pp	ADP
cte-300	271	24	.	.	PUNCT
cte-300	272	1	458	458	NUM
cte-300	272	2	-	-	SYM
cte-300	272	3	472	472	NUM
cte-300	272	4	chemical	chemical	NOUN
cte-300	272	5	laboratory	laboratory	NOUN
cte-300	272	6	vlab	vlab	NOUN
cte-300	272	7	in	in	ADP
cte-300	272	8	teaching	teach	VERB
cte-300	272	9	the	the	DET
cte-300	272	10	solution	solution	NOUN
cte-300	272	11	of	of	ADP
cte-300	272	12	experimental	experimental	ADJ
cte-300	272	13	problems	problem	NOUN
cte-300	272	14	in	in	ADP
cte-300	272	15	chemistry	chemistry	NOUN
cte-300	272	16	of	of	ADP
cte-300	272	17	9th	9th	ADJ
cte-300	272	18	grade	grade	NOUN
cte-300	272	19	students	student	NOUN
cte-300	272	20	.	.	PUNCT
cte-300	273	1	ceur	ceur	NOUN
cte-300	273	2	workshop	workshop	NOUN
cte-300	273	3	proceedings	proceeding	NOUN
cte-300	273	4	,	,	PUNCT
cte-300	273	5	2393	2393	NUM
cte-300	273	6	,	,	PUNCT
cte-300	273	7	pp.968–983	pp.968–983	NOUN
cte-300	273	8	.	.	PUNCT
cte-300	274	1	[	[	X
cte-300	274	2	28	28	NUM
cte-300	274	3	]	]	PUNCT
cte-300	274	4	pikalova	pikalova	NOUN
cte-300	274	5	,	,	PUNCT
cte-300	274	6	v.	v.	ADP
cte-300	274	7	and	and	CCONJ
cte-300	274	8	novakovska	novakovska	PROPN
cte-300	274	9	,	,	PUNCT
cte-300	274	10	l.	l.	PROPN
cte-300	274	11	,	,	PUNCT
cte-300	274	12	2007	2007	NUM
cte-300	274	13	.	.	PUNCT
cte-300	275	1	formation	formation	NOUN
cte-300	275	2	of	of	ADP
cte-300	275	3	research	research	NOUN
cte-300	275	4	skills	skill	NOUN
cte-300	275	5	of	of	ADP
cte-300	275	6	students	student	NOUN
cte-300	275	7	in	in	ADP
cte-300	275	8	studying	study	VERB
cte-300	275	9	the	the	DET
cte-300	275	10	topic	topic	NOUN
cte-300	275	11	second	second	ADJ
cte-300	275	12	level	level	NOUN
cte-300	275	13	curves	curve	NOUN
cte-300	275	14	.	.	PUNCT
cte-300	276	1	all	all	ADV
cte-300	276	2	-	-	PUNCT
cte-300	276	3	ukrainian	ukrainian	ADJ
cte-300	276	4	conference	conference	NOUN
cte-300	276	5	designing	design	VERB
cte-300	276	6	a	a	DET
cte-300	276	7	learning	learn	VERB
cte-300	276	8	environment	environment	NOUN
cte-300	276	9	as	as	ADP
cte-300	276	10	a	a	DET
cte-300	276	11	methodological	methodological	ADJ
cte-300	276	12	problem	problem	NOUN
cte-300	276	13	.	.	PUNCT
cte-300	277	1	pp.107–109	pp.107–109	VERB
cte-300	277	2	.	.	PUNCT
cte-300	278	1	[	[	X
cte-300	278	2	29	29	NUM
cte-300	278	3	]	]	X
cte-300	278	4	popel	popel	NOUN
cte-300	278	5	,	,	PUNCT
cte-300	278	6	m.	m.	NOUN
cte-300	278	7	,	,	PUNCT
cte-300	278	8	2018	2018	NUM
cte-300	278	9	.	.	PUNCT
cte-300	279	1	cocalc	cocalc	PROPN
cte-300	279	2	cloud	cloud	NOUN
cte-300	279	3	service	service	NOUN
cte-300	279	4	as	as	ADP
cte-300	279	5	a	a	DET
cte-300	279	6	means	means	NOUN
cte-300	279	7	of	of	ADP
cte-300	279	8	forming	form	VERB
cte-300	279	9	professional	professional	ADJ
cte-300	279	10	competencies	competency	NOUN
cte-300	279	11	of	of	ADP
cte-300	279	12	a	a	DET
cte-300	279	13	mathematics	mathematics	NOUN
cte-300	279	14	teacher	teacher	NOUN
cte-300	279	15	.	.	PUNCT
cte-300	280	1	kryvyi	kryvyi	PROPN
cte-300	280	2	rih	rih	VERB
cte-300	280	3	:	:	PUNCT
cte-300	280	4	vydavnychyj	vydavnychyj	NOUN
cte-300	280	5	centr	centr	VERB
cte-300	280	6	kryvorizkogo	kryvorizkogo	PROPN
cte-300	280	7	nacionalnogo	nacionalnogo	PROPN
cte-300	280	8	universytetu	universytetu	VERB
cte-300	280	9	.	.	PUNCT
cte-300	281	1	[	[	X
cte-300	281	2	30	30	NUM
cte-300	281	3	]	]	X
cte-300	281	4	popel	popel	NOUN
cte-300	281	5	,	,	PUNCT
cte-300	281	6	m.	m.	NOUN
cte-300	281	7	,	,	PUNCT
cte-300	281	8	shokalyuk	shokalyuk	PROPN
cte-300	281	9	,	,	PUNCT
cte-300	281	10	s.	s.	PROPN
cte-300	281	11	and	and	CCONJ
cte-300	281	12	shyshkina	shyshkina	PROPN
cte-300	281	13	,	,	PUNCT
cte-300	281	14	m.	m.	NOUN
cte-300	281	15	,	,	PUNCT
cte-300	281	16	2017	2017	NUM
cte-300	281	17	.	.	PUNCT
cte-300	282	1	the	the	DET
cte-300	282	2	learning	learning	NOUN
cte-300	282	3	technique	technique	NOUN
cte-300	282	4	of	of	ADP
cte-300	282	5	the	the	DET
cte-300	282	6	sagemathcloud	sagemathcloud	ADJ
cte-300	282	7	use	use	NOUN
cte-300	282	8	for	for	ADP
cte-300	282	9	students	student	NOUN
cte-300	282	10	collaboration	collaboration	NOUN
cte-300	282	11	support	support	NOUN
cte-300	282	12	.	.	PUNCT
cte-300	283	1	ceur	ceur	NOUN
cte-300	283	2	workshop	workshop	NOUN
cte-300	283	3	proceedings	proceeding	NOUN
cte-300	283	4	,	,	PUNCT
cte-300	283	5	1844	1844	NUM
cte-300	283	6	,	,	PUNCT
cte-300	283	7	pp.327–339	pp.327–339	VERB
cte-300	283	8	.	.	PUNCT
cte-300	284	1	[	[	X
cte-300	284	2	31	31	NUM
cte-300	284	3	]	]	PUNCT
cte-300	284	4	semenikhina	semenikhina	PROPN
cte-300	284	5	,	,	PUNCT
cte-300	284	6	e.	e.	PROPN
cte-300	284	7	,	,	PUNCT
cte-300	284	8	drushlyak	drushlyak	PROPN
cte-300	284	9	,	,	PUNCT
cte-300	284	10	m.	m.	NOUN
cte-300	284	11	,	,	PUNCT
cte-300	284	12	bondarenko	bondarenko	PROPN
cte-300	284	13	,	,	PUNCT
cte-300	284	14	y.	y.	NOUN
cte-300	284	15	,	,	PUNCT
cte-300	284	16	kondratiuk	kondratiuk	NOUN
cte-300	284	17	,	,	PUNCT
cte-300	284	18	s.	s.	PROPN
cte-300	284	19	and	and	CCONJ
cte-300	284	20	dehtiarova	dehtiarova	PROPN
cte-300	284	21	,	,	PUNCT
cte-300	284	22	n.	n.	NOUN
cte-300	284	23	,	,	PUNCT
cte-300	284	24	2019	2019	NUM
cte-300	284	25	.	.	PUNCT
cte-300	285	1	cloud	cloud	NOUN
cte-300	285	2	-	-	PUNCT
cte-300	285	3	based	base	VERB
cte-300	285	4	service	service	NOUN
cte-300	285	5	geogebra	geogebra	NOUN
cte-300	285	6	and	and	CCONJ
cte-300	285	7	its	its	PRON
cte-300	285	8	use	use	NOUN
cte-300	285	9	in	in	ADP
cte-300	285	10	the	the	DET
cte-300	285	11	educational	educational	ADJ
cte-300	285	12	process	process	NOUN
cte-300	285	13	:	:	PUNCT
cte-300	285	14	the	the	DET
cte-300	285	15	byod	byod	NOUN
cte-300	285	16	-	-	PUNCT
cte-300	285	17	approach	approach	NOUN
cte-300	285	18	.	.	PUNCT
cte-300	286	1	tem	tem	PROPN
cte-300	286	2	journal	journal	PROPN
cte-300	286	3	,	,	PUNCT
cte-300	286	4	8(1	8(1	NOUN
cte-300	286	5	)	)	PUNCT
cte-300	286	6	,	,	PUNCT
cte-300	286	7	pp.65–72	pp.65–72	NOUN
cte-300	286	8	.	.	PUNCT
cte-300	287	1	available	available	ADJ
cte-300	287	2	from	from	ADP
cte-300	287	3	:	:	PUNCT
cte-300	287	4	https://doi.org/10.18421/tem81-08	https://doi.org/10.18421/tem81-08	NOUN
cte-300	287	5	.	.	PUNCT
cte-300	288	1	[	[	X
cte-300	288	2	32	32	NUM
cte-300	288	3	]	]	SYM
cte-300	288	4	semenikhina	semenikhina	NOUN
cte-300	288	5	,	,	PUNCT
cte-300	288	6	o.v	o.v	PROPN
cte-300	288	7	.	.	PROPN
cte-300	288	8	,	,	PUNCT
cte-300	288	9	drushliak	drushliak	PROPN
cte-300	288	10	,	,	PUNCT
cte-300	288	11	m.g	m.g	PROPN
cte-300	288	12	.	.	PROPN
cte-300	288	13	and	and	CCONJ
cte-300	288	14	khvorostina	khvorostina	PROPN
cte-300	288	15	,	,	PUNCT
cte-300	288	16	y.v	y.v	PROPN
cte-300	288	17	.	.	PROPN
cte-300	288	18	,	,	PUNCT
cte-300	288	19	2019	2019	NUM
cte-300	288	20	.	.	PUNCT
cte-300	289	1	use	use	NOUN
cte-300	289	2	of	of	ADP
cte-300	289	3	geogebra	geogebra	NOUN
cte-300	289	4	cloud	cloud	NOUN
cte-300	289	5	service	service	NOUN
cte-300	289	6	in	in	ADP
cte-300	289	7	future	future	ADJ
cte-300	289	8	math	math	NOUN
cte-300	289	9	teachers	teacher	NOUN
cte-300	289	10	’	’	PART
cte-300	289	11	teaching	teaching	NOUN
cte-300	289	12	.	.	PUNCT
cte-300	290	1	information	information	NOUN
cte-300	290	2	technologies	technology	NOUN
cte-300	290	3	and	and	CCONJ
cte-300	290	4	learning	learning	NOUN
cte-300	290	5	tools	tool	NOUN
cte-300	290	6	,	,	PUNCT
cte-300	290	7	73(5	73(5	NUM
cte-300	290	8	)	)	PUNCT
cte-300	290	9	,	,	PUNCT
cte-300	290	10	pp.48–66	pp.48–66	NOUN
cte-300	290	11	.	.	PUNCT
cte-300	291	1	available	available	ADJ
cte-300	291	2	from	from	ADP
cte-300	291	3	:	:	PUNCT
cte-300	291	4	https://doi.org/10.33407/itlt.v73i5.2500	https://doi.org/10.33407/itlt.v73i5.2500	NUM
cte-300	291	5	.	.	PUNCT
cte-300	292	1	[	[	X
cte-300	292	2	33	33	NUM
cte-300	292	3	]	]	X
cte-300	292	4	semerikov	semerikov	NOUN
cte-300	292	5	,	,	PUNCT
cte-300	292	6	s.	s.	PROPN
cte-300	292	7	,	,	PUNCT
cte-300	292	8	teplytskyi	teplytskyi	PROPN
cte-300	292	9	,	,	PUNCT
cte-300	292	10	i.	i.	PROPN
cte-300	292	11	,	,	PUNCT
cte-300	292	12	yechkalo	yechkalo	PROPN
cte-300	292	13	,	,	PUNCT
cte-300	292	14	y.	y.	PROPN
cte-300	292	15	,	,	PUNCT
cte-300	292	16	markova	markova	X
cte-300	292	17	,	,	PUNCT
cte-300	292	18	o.	o.	PROPN
cte-300	292	19	,	,	PUNCT
cte-300	292	20	soloviev	soloviev	PROPN
cte-300	292	21	,	,	PUNCT
cte-300	292	22	v.	v.	PROPN
cte-300	292	23	and	and	CCONJ
cte-300	292	24	kiv	kiv	PROPN
cte-300	292	25	,	,	PUNCT
cte-300	292	26	a.	a.	NOUN
cte-300	292	27	,	,	PUNCT
cte-300	292	28	2019	2019	NUM
cte-300	292	29	.	.	PUNCT
cte-300	293	1	computer	computer	NOUN
cte-300	293	2	simulation	simulation	NOUN
cte-300	293	3	of	of	ADP
cte-300	293	4	neural	neural	ADJ
cte-300	293	5	networks	network	NOUN
cte-300	293	6	using	use	VERB
cte-300	293	7	spreadsheets	spreadsheet	NOUN
cte-300	293	8	:	:	PUNCT
cte-300	293	9	dr	dr	PROPN
cte-300	293	10	.	.	PROPN
cte-300	293	11	anderson	anderson	PROPN
cte-300	293	12	,	,	PUNCT
cte-300	293	13	welcome	welcome	VERB
cte-300	293	14	back	back	ADP
cte-300	293	15	.	.	PUNCT
cte-300	294	1	ceur	ceur	NOUN
cte-300	294	2	workshop	workshop	NOUN
cte-300	294	3	proceedings	proceeding	NOUN
cte-300	294	4	,	,	PUNCT
cte-300	294	5	2393	2393	NUM
cte-300	294	6	,	,	PUNCT
cte-300	294	7	pp.833–848	pp.833–848	NOUN
cte-300	294	8	.	.	PUNCT
cte-300	295	1	[	[	X
cte-300	295	2	34	34	NUM
cte-300	295	3	]	]	PUNCT
cte-300	295	4	shyshkina	shyshkina	PROPN
cte-300	295	5	,	,	PUNCT
cte-300	295	6	m.	m.	NOUN
cte-300	295	7	,	,	PUNCT
cte-300	295	8	2015	2015	NUM
cte-300	295	9	.	.	PUNCT
cte-300	296	1	formation	formation	NOUN
cte-300	296	2	and	and	CCONJ
cte-300	296	3	development	development	NOUN
cte-300	296	4	of	of	ADP
cte-300	296	5	a	a	DET
cte-300	296	6	cloud	cloud	NOUN
cte-300	296	7	-	-	PUNCT
cte-300	296	8	oriented	orient	VERB
cte-300	296	9	educational	educational	ADJ
cte-300	296	10	and	and	CCONJ
cte-300	296	11	scientific	scientific	ADJ
cte-300	296	12	environment	environment	NOUN
cte-300	296	13	of	of	ADP
cte-300	296	14	a	a	DET
cte-300	296	15	higher	high	ADJ
cte-300	296	16	educational	educational	ADJ
cte-300	296	17	institution	institution	NOUN
cte-300	296	18	.	.	PUNCT
cte-300	297	1	kyiv	kyiv	ADJ
cte-300	297	2	:	:	PUNCT
cte-300	297	3	ukrintei	ukrintei	ADJ
cte-300	297	4	.	.	PUNCT
cte-300	298	1	[	[	X
cte-300	298	2	35	35	NUM
cte-300	298	3	]	]	PUNCT
cte-300	298	4	shyshkina	shyshkina	PROPN
cte-300	298	5	,	,	PUNCT
cte-300	298	6	m.p	m.p	PROPN
cte-300	298	7	.	.	PROPN
cte-300	298	8	and	and	CCONJ
cte-300	298	9	popel	popel	PROPN
cte-300	298	10	,	,	PUNCT
cte-300	298	11	m.v	m.v	PROPN
cte-300	298	12	.	.	PROPN
cte-300	298	13	,	,	PUNCT
cte-300	298	14	2013	2013	NUM
cte-300	298	15	.	.	PUNCT
cte-300	299	1	cloud	cloud	NOUN
cte-300	299	2	based	base	VERB
cte-300	299	3	learning	learn	VERB
cte-300	299	4	environment	environment	NOUN
cte-300	299	5	of	of	ADP
cte-300	299	6	educational	educational	ADJ
cte-300	299	7	institutions	institution	NOUN
cte-300	299	8	:	:	PUNCT
cte-300	299	9	the	the	DET
cte-300	299	10	current	current	ADJ
cte-300	299	11	state	state	NOUN
cte-300	299	12	and	and	CCONJ
cte-300	299	13	research	research	NOUN
cte-300	299	14	prospects	prospect	NOUN
cte-300	299	15	.	.	PUNCT
cte-300	300	1	information	information	NOUN
cte-300	300	2	technologies	technology	NOUN
cte-300	300	3	and	and	CCONJ
cte-300	300	4	learning	learning	NOUN
cte-300	300	5	tools	tool	NOUN
cte-300	300	6	,	,	PUNCT
cte-300	300	7	37(5	37(5	NUM
cte-300	300	8	)	)	PUNCT
cte-300	300	9	,	,	PUNCT
cte-300	300	10	pp.66–80	pp.66–80	PROPN
cte-300	300	11	.	.	PUNCT
cte-300	301	1	available	available	ADJ
cte-300	301	2	from	from	ADP
cte-300	301	3	:	:	PUNCT
cte-300	301	4	https://doi.org/10.33407/itlt.v37i5.903	https://doi.org/10.33407/itlt.v37i5.903	NOUN
cte-300	301	5	.	.	PUNCT
cte-300	302	1	[	[	X
cte-300	302	2	36	36	NUM
cte-300	302	3	]	]	X
cte-300	302	4	smith	smith	PROPN
cte-300	302	5	,	,	PUNCT
cte-300	302	6	a.	a.	NOUN
cte-300	302	7	,	,	PUNCT
cte-300	302	8	bhogal	bhogal	ADJ
cte-300	302	9	,	,	PUNCT
cte-300	302	10	j.	j.	PROPN
cte-300	302	11	and	and	CCONJ
cte-300	302	12	sharma	sharma	PROPN
cte-300	302	13	,	,	PUNCT
cte-300	302	14	m.	m.	NOUN
cte-300	302	15	,	,	PUNCT
cte-300	302	16	2014	2014	NUM
cte-300	302	17	.	.	PUNCT
cte-300	303	1	cloud	cloud	NOUN
cte-300	303	2	computing	computing	PROPN
cte-300	303	3	:	:	PUNCT
cte-300	303	4	adoption	adoption	NOUN
cte-300	303	5	considerations	consideration	NOUN
cte-300	303	6	for	for	ADP
cte-300	303	7	business	business	NOUN
cte-300	303	8	and	and	CCONJ
cte-300	303	9	education	education	NOUN
cte-300	303	10	.	.	PUNCT
cte-300	304	1	2014	2014	NUM
cte-300	304	2	international	international	ADJ
cte-300	304	3	conference	conference	NOUN
cte-300	304	4	on	on	ADP
cte-300	304	5	future	future	ADJ
cte-300	304	6	internet	internet	NOUN
cte-300	304	7	of	of	ADP
cte-300	304	8	things	thing	NOUN
cte-300	304	9	and	and	CCONJ
cte-300	304	10	cloud	cloud	NOUN
cte-300	304	11	.	.	PUNCT
cte-300	305	1	pp.302–307	pp.302–307	PROPN
cte-300	305	2	.	.	PROPN
cte-300	305	3	available	available	ADJ
cte-300	305	4	from	from	ADP
cte-300	305	5	:	:	PUNCT
cte-300	305	6	https://doi.org/10.1109/ficloud.2014.54	https://doi.org/10.1109/ficloud.2014.54	PROPN
cte-300	305	7	.	.	PUNCT
cte-300	306	1	[	[	X
cte-300	306	2	37	37	NUM
cte-300	306	3	]	]	X
cte-300	306	4	tuholko	tuholko	PROPN
cte-300	306	5	,	,	PUNCT
cte-300	306	6	l.	l.	PROPN
cte-300	306	7	,	,	PUNCT
cte-300	306	8	2018	2018	NUM
cte-300	306	9	.	.	PUNCT
cte-300	307	1	the	the	DET
cte-300	307	2	development	development	NOUN
cte-300	307	3	of	of	ADP
cte-300	307	4	constructive	constructive	ADJ
cte-300	307	5	activity	activity	NOUN
cte-300	307	6	of	of	ADP
cte-300	307	7	students	student	NOUN
cte-300	307	8	in	in	ADP
cte-300	307	9	the	the	DET
cte-300	307	10	x	x	PROPN
cte-300	307	11	-	-	NOUN
cte-300	307	12	xi	xi	ADJ
cte-300	307	13	grades	grade	NOUN
cte-300	307	14	in	in	ADP
cte-300	307	15	teaching	teaching	NOUN
cte-300	307	16	geometry	geometry	NOUN
cte-300	307	17	.	.	PUNCT
cte-300	308	1	ph.d	ph.d	PROPN
cte-300	308	2	.	.	PUNCT
cte-300	309	1	thesis	thesis	PROPN
cte-300	309	2	.	.	PUNCT
cte-300	310	1	belorus	belorus	PROPN
cte-300	310	2	state	state	PROPN
cte-300	310	3	university	university	PROPN
cte-300	310	4	,	,	PUNCT
cte-300	310	5	minsk	minsk	PROPN
cte-300	310	6	.	.	PUNCT
cte-300	311	1	[	[	X
cte-300	311	2	38	38	NUM
cte-300	311	3	]	]	PUNCT
cte-300	311	4	vakaliuk	vakaliuk	NOUN
cte-300	311	5	,	,	PUNCT
cte-300	311	6	t.a	t.a	PROPN
cte-300	311	7	.	.	PROPN
cte-300	311	8	,	,	PUNCT
cte-300	311	9	korotun	korotun	PROPN
cte-300	311	10	,	,	PUNCT
cte-300	311	11	o.v	o.v	PROPN
cte-300	311	12	.	.	PROPN
cte-300	311	13	and	and	CCONJ
cte-300	311	14	semerikov	semerikov	PROPN
cte-300	311	15	,	,	PUNCT
cte-300	311	16	s.o	s.o	PROPN
cte-300	311	17	.	.	PROPN
cte-300	311	18	,	,	PUNCT
cte-300	311	19	2020	2020	NUM
cte-300	311	20	,	,	PUNCT
cte-300	311	21	in	in	ADP
cte-300	311	22	press	press	NOUN
cte-300	311	23	.	.	PUNCT
cte-300	312	1	the	the	DET
cte-300	312	2	selection	selection	NOUN
cte-300	312	3	of	of	ADP
cte-300	312	4	cloud	cloud	NOUN
cte-300	312	5	services	service	NOUN
cte-300	312	6	for	for	ADP
cte-300	312	7	er	er	NOUN
cte-300	312	8	-	-	PUNCT
cte-300	312	9	diagrams	diagram	NOUN
cte-300	312	10	construction	construction	NOUN
cte-300	312	11	in	in	ADP
cte-300	312	12	it	it	PRON
cte-300	312	13	specialists	specialist	VERB
cte-300	312	14	databases	database	NOUN
cte-300	312	15	teaching	teach	VERB
cte-300	312	16	.	.	PUNCT
cte-300	313	1	ceur	ceur	NOUN
cte-300	313	2	workshop	workshop	NOUN
cte-300	313	3	proceedings	proceeding	NOUN
cte-300	313	4	.	.	PUNCT
cte-300	314	1	[	[	X
cte-300	314	2	39	39	NUM
cte-300	314	3	]	]	PUNCT
cte-300	314	4	velychko	velychko	NOUN
cte-300	314	5	,	,	PUNCT
cte-300	314	6	v.y	v.y	PROPN
cte-300	314	7	.	.	PROPN
cte-300	314	8	,	,	PUNCT
cte-300	314	9	fedorenko	fedorenko	PROPN
cte-300	314	10	,	,	PUNCT
cte-300	314	11	e.h	e.h	PROPN
cte-300	314	12	.	.	PROPN
cte-300	314	13	,	,	PUNCT
cte-300	314	14	kaidan	kaidan	PROPN
cte-300	314	15	,	,	PUNCT
cte-300	314	16	n.v	n.v	PROPN
cte-300	314	17	.	.	PROPN
cte-300	314	18	,	,	PUNCT
cte-300	314	19	soloviev	soloviev	PROPN
cte-300	314	20	,	,	PUNCT
cte-300	314	21	v.n	v.n	PROPN
cte-300	314	22	.	.	PROPN
cte-300	314	23	and	and	CCONJ
cte-300	314	24	bondarenko	bondarenko	PROPN
cte-300	314	25	,	,	PUNCT
cte-300	314	26	o.v	o.v	PROPN
cte-300	314	27	.	.	PROPN
cte-300	314	28	,	,	PUNCT
cte-300	314	29	2020	2020	NUM
cte-300	314	30	,	,	PUNCT
cte-300	314	31	in	in	ADP
cte-300	314	32	press	press	NOUN
cte-300	314	33	.	.	PUNCT
cte-300	315	1	the	the	DET
cte-300	315	2	support	support	NOUN
cte-300	315	3	of	of	ADP
cte-300	315	4	the	the	DET
cte-300	315	5	process	process	NOUN
cte-300	315	6	of	of	ADP
cte-300	315	7	training	train	VERB
cte-300	315	8	pre	pre	ADJ
cte-300	315	9	-	-	ADJ
cte-300	315	10	service	service	ADJ
cte-300	315	11	mathematics	mathematic	NOUN
cte-300	315	12	teachers	teacher	NOUN
cte-300	315	13	by	by	ADP
cte-300	315	14	means	mean	NOUN
cte-300	315	15	of	of	ADP
cte-300	315	16	cloud	cloud	NOUN
cte-300	315	17	services	service	NOUN
cte-300	315	18	.	.	PUNCT
cte-300	316	1	ceur	ceur	PROPN
cte-300	316	2	workshop	workshop	NOUN
cte-300	316	3	proceedings	proceeding	NOUN
cte-300	316	4	.	.	PUNCT
cte-300	317	1	[	[	X
cte-300	317	2	40	40	NUM
cte-300	317	3	]	]	PUNCT
cte-300	317	4	vlasenko	vlasenko	PROPN
cte-300	317	5	,	,	PUNCT
cte-300	317	6	k.	k.	PROPN
cte-300	317	7	,	,	PUNCT
cte-300	317	8	chumak	chumak	PROPN
cte-300	317	9	,	,	PUNCT
cte-300	317	10	o.	o.	PROPN
cte-300	317	11	,	,	PUNCT
cte-300	317	12	bobyliev	bobyliev	PROPN
cte-300	317	13	,	,	PUNCT
cte-300	317	14	d.	d.	PROPN
cte-300	317	15	,	,	PUNCT
cte-300	317	16	lovianova	lovianova	PROPN
cte-300	317	17	,	,	PUNCT
cte-300	317	18	i.	i.	NOUN
cte-300	317	19	and	and	CCONJ
cte-300	317	20	sitak	sitak	PROPN
cte-300	317	21	,	,	PUNCT
cte-300	317	22	i.	i.	NOUN
cte-300	317	23	,	,	PUNCT
cte-300	317	24	2020	2020	NUM
cte-300	317	25	.	.	PUNCT
cte-300	318	1	development	development	NOUN
cte-300	318	2	of	of	ADP
cte-300	318	3	an	an	DET
cte-300	318	4	online	online	ADJ
cte-300	318	5	-	-	PUNCT
cte-300	318	6	course	course	NOUN
cte-300	318	7	syllabus	syllabus	NOUN
cte-300	318	8	“	"	PUNCT
cte-300	318	9	operations	operation	NOUN
cte-300	318	10	research	research	NOUN
cte-300	318	11	oriented	orient	VERB
cte-300	318	12	to	to	ADP
cte-300	318	13	cloud	cloud	NOUN
cte-300	318	14	computing	computing	NOUN
cte-300	318	15	in	in	ADP
cte-300	318	16	the	the	DET
cte-300	318	17	cocalc	cocalc	NOUN
cte-300	318	18	system	system	NOUN
cte-300	318	19	”	"	PUNCT
cte-300	318	20	.	.	PUNCT
cte-300	319	1	ceur	ceur	PROPN
cte-300	319	2	workshop	workshop	NOUN
cte-300	319	3	proceedings	proceeding	NOUN
cte-300	319	4	,	,	PUNCT
cte-300	319	5	2740	2740	NUM
cte-300	319	6	,	,	PUNCT
cte-300	319	7	pp.278–291	pp.278–291	ADJ
cte-300	319	8	.	.	PUNCT
cte-300	320	1	[	[	X
cte-300	320	2	41	41	NUM
cte-300	320	3	]	]	PUNCT
cte-300	320	4	volikova	volikova	PROPN
cte-300	320	5	,	,	PUNCT
cte-300	320	6	m.	m.	NOUN
cte-300	320	7	,	,	PUNCT
cte-300	320	8	armash	armash	NOUN
cte-300	320	9	,	,	PUNCT
cte-300	320	10	t.	t.	PROPN
cte-300	320	11	,	,	PUNCT
cte-300	320	12	yechkalo	yechkalo	PROPN
cte-300	320	13	,	,	PUNCT
cte-300	320	14	y.	y.	PROPN
cte-300	320	15	and	and	CCONJ
cte-300	320	16	zaselskiy	zaselskiy	NOUN
cte-300	320	17	,	,	PUNCT
cte-300	320	18	v.	v.	ADP
cte-300	320	19	,	,	PUNCT
cte-300	320	20	2019	2019	NUM
cte-300	320	21	.	.	PUNCT
cte-300	321	1	practical	practical	ADJ
cte-300	321	2	use	use	NOUN
cte-300	321	3	of	of	ADP
cte-300	321	4	cloud	cloud	NOUN
cte-300	321	5	services	service	NOUN
cte-300	321	6	for	for	ADP
cte-300	321	7	organization	organization	NOUN
cte-300	321	8	of	of	ADP
cte-300	321	9	future	future	ADJ
cte-300	321	10	specialists	specialist	NOUN
cte-300	321	11	professional	professional	ADJ
cte-300	321	12	training	training	NOUN
cte-300	321	13	.	.	PUNCT
cte-300	322	1	ceur	ceur	NOUN
cte-300	322	2	workshop	workshop	NOUN
cte-300	322	3	proceedings	proceeding	NOUN
cte-300	322	4	,	,	PUNCT
cte-300	322	5	2433	2433	NUM
cte-300	322	6	,	,	PUNCT
cte-300	322	7	pp.486–498	pp.486–498	NOUN
cte-300	322	8	.	.	PUNCT
cte-300	323	1	472	472	NUM
cte-300	323	2	https://doi.org/10.18421/tem81-08	https://doi.org/10.18421/tem81-08	NOUN
cte-300	323	3	https://doi.org/10.33407/itlt.v73i5.2500	https://doi.org/10.33407/itlt.v73i5.2500	NUM
cte-300	323	4	https://doi.org/10.33407/itlt.v37i5.903	https://doi.org/10.33407/itlt.v37i5.903	NOUN
cte-300	323	5	https://doi.org/10.1109/ficloud.2014.54	https://doi.org/10.1109/ficloud.2014.54	PROPN
cte-300	323	6	1	1	NUM
cte-300	323	7	introduction	introduction	NOUN
cte-300	323	8	2	2	NUM
cte-300	323	9	material	material	NOUN
cte-300	323	10	and	and	CCONJ
cte-300	323	11	methods	method	NOUN
cte-300	323	12	3	3	NUM
cte-300	323	13	constructive	constructive	ADJ
cte-300	323	14	approach	approach	NOUN
cte-300	323	15	4	4	NUM
cte-300	323	16	methodology	methodology	NOUN
cte-300	323	17	of	of	ADP
cte-300	323	18	forming	form	VERB
cte-300	323	19	skills	skill	NOUN
cte-300	323	20	to	to	AUX
cte-300	323	21	model	model	VERB
cte-300	323	22	interesting	interesting	ADJ
cte-300	323	23	curves	curve	NOUN
cte-300	323	24	based	base	VERB
cte-300	323	25	on	on	ADP
cte-300	323	26	a	a	DET
cte-300	323	27	constructive	constructive	ADJ
cte-300	323	28	approach	approach	NOUN
cte-300	323	29	in	in	ADP
cte-300	323	30	geogebra	geogebra	NOUN
cte-300	323	31	cloud	cloud	NOUN
cte-300	323	32	service	service	NOUN
cte-300	323	33	5	5	NUM
cte-300	323	34	statistical	statistical	ADJ
cte-300	323	35	analysis	analysis	NOUN
cte-300	323	36	of	of	ADP
cte-300	323	37	experiment	experiment	NOUN
cte-300	323	38	results	result	VERB
cte-300	323	39	6	6	NUM
cte-300	323	40	conclusions	conclusion	NOUN