id	sid	tid	token	lemma	pos
cte-418	1	1	cte	cte	PROPN
cte-418	1	2	workshop	workshop	NOUN
cte-418	1	3	proceedings	proceeding	NOUN
cte-418	1	4	,	,	PUNCT
cte-418	1	5	2020	2020	NUM
cte-418	1	6	,	,	PUNCT
cte-418	1	7	vol	vol	NOUN
cte-418	1	8	.	.	PUNCT
cte-418	1	9	7	7	NUM
cte-418	1	10	:	:	PUNCT
cte-418	1	11	cte-2019	cte-2019	NOUN
cte-418	1	12	,	,	PUNCT
cte-418	1	13	pp	pp	ADV
cte-418	1	14	.	.	PUNCT
cte-418	2	1	705	705	NUM
cte-418	2	2	-	-	SYM
cte-418	2	3	718	718	NUM
cte-418	2	4	705	705	NUM
cte-418	2	5	_	_	PUNCT
cte-418	3	1	_	_	PUNCT
cte-418	4	1	_	_	PUNCT
cte-418	5	1	_	_	PUNCT
cte-418	6	1	_	_	PUNCT
cte-418	7	1	_	_	PUNCT
cte-418	8	1	_	_	PUNCT
cte-418	9	1	_	_	PUNCT
cte-418	10	1	_	_	PUNCT
cte-418	11	1	_	_	PUNCT
cte-418	12	1	_	_	PUNCT
cte-418	13	1	_	_	PUNCT
cte-418	14	1	_	_	PUNCT
cte-418	15	1	_	_	PUNCT
cte-418	16	1	_	_	PUNCT
cte-418	17	1	_	_	PUNCT
cte-418	18	1	_	_	PUNCT
cte-418	19	1	_	_	PUNCT
cte-418	20	1	_	_	PUNCT
cte-418	21	1	copyright	copyright	NOUN
cte-418	21	2	©	©	ADP
cte-418	21	3	2020	2020	NUM
cte-418	21	4	for	for	ADP
cte-418	21	5	this	this	DET
cte-418	21	6	paper	paper	NOUN
cte-418	21	7	by	by	ADP
cte-418	21	8	its	its	PRON
cte-418	21	9	authors	author	NOUN
cte-418	21	10	.	.	PUNCT
cte-418	22	1	use	use	NOUN
cte-418	22	2	permitted	permit	VERB
cte-418	22	3	under	under	ADP
cte-418	22	4	creative	creative	ADJ
cte-418	22	5	commons	common	NOUN
cte-418	22	6	license	license	NOUN
cte-418	22	7	attribution	attribution	NOUN
cte-418	22	8	4.0	4.0	NUM
cte-418	22	9	international	international	NOUN
cte-418	22	10	(	(	PUNCT
cte-418	22	11	cc	cc	NOUN
cte-418	22	12	by	by	ADP
cte-418	22	13	4.0	4.0	NUM
cte-418	22	14	)	)	PUNCT
cte-418	22	15	.	.	PUNCT
cte-418	23	1	application	application	NOUN
cte-418	23	2	of	of	ADP
cte-418	23	3	geogebra	geogebra	NOUN
cte-418	23	4	in	in	ADP
cte-418	23	5	stereometry	stereometry	NOUN
cte-418	23	6	teaching	teach	VERB
cte-418	23	7	tetiana	tetiana	PROPN
cte-418	23	8	h.	h.	PROPN
cte-418	23	9	kramarenko1[0000	kramarenko1[0000	PROPN
cte-418	23	10	-	-	PUNCT
cte-418	23	11	0003	0003	NUM
cte-418	23	12	-	-	PUNCT
cte-418	23	13	2125	2125	NUM
cte-418	23	14	-	-	PUNCT
cte-418	23	15	2242	2242	NUM
cte-418	23	16	]	]	PUNCT
cte-418	23	17	,	,	PUNCT
cte-418	23	18	olha	olha	PROPN
cte-418	23	19	s.	s.	PROPN
cte-418	23	20	pylypenko2[0000	pylypenko2[0000	PROPN
cte-418	23	21	-	-	PUNCT
cte-418	23	22	0003	0003	NUM
cte-418	23	23	-	-	PUNCT
cte-418	23	24	0493	0493	NUM
cte-418	23	25	-	-	PUNCT
cte-418	23	26	8429	8429	NUM
cte-418	23	27	]	]	PUNCT
cte-418	23	28	and	and	CCONJ
cte-418	23	29	ivan	ivan	PROPN
cte-418	23	30	o.	o.	PROPN
cte-418	23	31	muzyka3[0000	muzyka3[0000	PROPN
cte-418	23	32	-	-	PUNCT
cte-418	23	33	0002	0002	NUM
cte-418	23	34	-	-	PUNCT
cte-418	23	35	9202	9202	NUM
cte-418	23	36	-	-	PUNCT
cte-418	23	37	2973	2973	NUM
cte-418	23	38	]	]	PUNCT
cte-418	23	39	1	1	NUM
cte-418	23	40	kryvyi	kryvyi	PROPN
cte-418	23	41	rih	rih	VERB
cte-418	23	42	state	state	NOUN
cte-418	23	43	pedagogical	pedagogical	ADJ
cte-418	23	44	university	university	NOUN
cte-418	23	45	,	,	PUNCT
cte-418	23	46	54	54	NUM
cte-418	23	47	gagarin	gagarin	PROPN
cte-418	23	48	ave	ave	PROPN
cte-418	23	49	.	.	PROPN
cte-418	23	50	,	,	PUNCT
cte-418	23	51	kryvyi	kryvyi	PROPN
cte-418	23	52	rih	rih	VERB
cte-418	23	53	,	,	PUNCT
cte-418	23	54	50086	50086	NUM
cte-418	23	55	,	,	PUNCT
cte-418	23	56	ukraine	ukraine	PROPN
cte-418	23	57	kramarenko.tetyana@kdpu.edu.ua	kramarenko.tetyana@kdpu.edu.ua	PROPN
cte-418	23	58	2	2	NUM
cte-418	23	59	state	state	NOUN
cte-418	23	60	university	university	NOUN
cte-418	23	61	of	of	ADP
cte-418	23	62	economics	economic	NOUN
cte-418	23	63	and	and	CCONJ
cte-418	23	64	technologies	technology	NOUN
cte-418	23	65	,	,	PUNCT
cte-418	23	66	37a	37a	NUM
cte-418	23	67	vatutin	vatutin	PROPN
cte-418	23	68	str	str	VERB
cte-418	23	69	.	.	PUNCT
cte-418	23	70	,	,	PUNCT
cte-418	23	71	kryvyi	kryvyi	PROPN
cte-418	23	72	rih	rih	VERB
cte-418	23	73	,	,	PUNCT
cte-418	23	74	50096	50096	NUM
cte-418	23	75	,	,	PUNCT
cte-418	23	76	ukraine	ukraine	NOUN
cte-418	23	77	banadaolga96@gmail.com	banadaolga96@gmail.com	X
cte-418	23	78	3	3	NUM
cte-418	23	79	kryvyi	kryvyi	PROPN
cte-418	23	80	rih	rih	VERB
cte-418	23	81	national	national	ADJ
cte-418	23	82	university	university	NOUN
cte-418	23	83	,	,	PUNCT
cte-418	23	84	11	11	NUM
cte-418	23	85	vitalii	vitalii	NOUN
cte-418	23	86	matusevych	matusevych	PROPN
cte-418	23	87	str	str	PROPN
cte-418	23	88	.	.	PUNCT
cte-418	23	89	,	,	PUNCT
cte-418	23	90	kryvyi	kryvyi	PROPN
cte-418	23	91	rih	rih	VERB
cte-418	23	92	,	,	PUNCT
cte-418	23	93	50027	50027	NUM
cte-418	23	94	,	,	PUNCT
cte-418	23	95	ukraine	ukraine	NOUN
cte-418	23	96	musicvano@gmail.com	musicvano@gmail.com	PROPN
cte-418	24	1	abstract	abstract	ADJ
cte-418	24	2	.	.	PUNCT
cte-418	25	1	the	the	DET
cte-418	25	2	purpose	purpose	NOUN
cte-418	25	3	of	of	ADP
cte-418	25	4	the	the	DET
cte-418	25	5	paper	paper	NOUN
cte-418	25	6	is	be	AUX
cte-418	25	7	to	to	PART
cte-418	25	8	improve	improve	VERB
cte-418	25	9	methodology	methodology	NOUN
cte-418	25	10	of	of	ADP
cte-418	25	11	teaching	teach	VERB
cte-418	25	12	mathematics	mathematic	NOUN
cte-418	25	13	via	via	ADP
cte-418	25	14	the	the	DET
cte-418	25	15	use	use	NOUN
cte-418	25	16	of	of	ADP
cte-418	25	17	cloud	cloud	ADJ
cte-418	25	18	technology	technology	NOUN
cte-418	25	19	.	.	PUNCT
cte-418	26	1	the	the	DET
cte-418	26	2	task	task	NOUN
cte-418	26	3	of	of	ADP
cte-418	26	4	the	the	DET
cte-418	26	5	paper	paper	NOUN
cte-418	26	6	is	be	AUX
cte-418	26	7	to	to	PART
cte-418	26	8	identify	identify	VERB
cte-418	26	9	the	the	DET
cte-418	26	10	issues	issue	NOUN
cte-418	26	11	that	that	PRON
cte-418	26	12	require	require	VERB
cte-418	26	13	a	a	DET
cte-418	26	14	theoretical	theoretical	ADJ
cte-418	26	15	and	and	CCONJ
cte-418	26	16	experimental	experimental	ADJ
cte-418	26	17	solution	solution	NOUN
cte-418	26	18	.	.	PUNCT
cte-418	27	1	the	the	DET
cte-418	27	2	objective	objective	NOUN
cte-418	27	3	of	of	ADP
cte-418	27	4	the	the	DET
cte-418	27	5	paper	paper	NOUN
cte-418	27	6	is	be	AUX
cte-418	27	7	the	the	DET
cte-418	27	8	educational	educational	ADJ
cte-418	27	9	process	process	NOUN
cte-418	27	10	in	in	ADP
cte-418	27	11	the	the	DET
cte-418	27	12	higher	high	ADJ
cte-418	27	13	education	education	NOUN
cte-418	27	14	institution	institution	NOUN
cte-418	27	15	,	,	PUNCT
cte-418	27	16	the	the	DET
cte-418	27	17	subject	subject	NOUN
cte-418	27	18	of	of	ADP
cte-418	27	19	the	the	DET
cte-418	27	20	paper	paper	NOUN
cte-418	27	21	is	be	AUX
cte-418	27	22	modern	modern	ADJ
cte-418	27	23	ict	ict	NOUN
cte-418	27	24	.	.	PUNCT
cte-418	28	1	the	the	DET
cte-418	28	2	result	result	NOUN
cte-418	28	3	of	of	ADP
cte-418	28	4	the	the	DET
cte-418	28	5	study	study	NOUN
cte-418	28	6	is	be	AUX
cte-418	28	7	the	the	DET
cte-418	28	8	learning	learning	NOUN
cte-418	28	9	tools	tool	NOUN
cte-418	28	10	of	of	ADP
cte-418	28	11	pedagogically	pedagogically	ADV
cte-418	28	12	considered	consider	VERB
cte-418	28	13	and	and	CCONJ
cte-418	28	14	adequate	adequate	ADJ
cte-418	28	15	bending	bending	NOUN
cte-418	28	16	of	of	ADP
cte-418	28	17	conventional	conventional	ADJ
cte-418	28	18	and	and	CCONJ
cte-418	28	19	modern	modern	ADJ
cte-418	28	20	learning	learning	NOUN
cte-418	28	21	environment	environment	NOUN
cte-418	28	22	implemented	implement	VERB
cte-418	28	23	into	into	ADP
cte-418	28	24	the	the	DET
cte-418	28	25	educational	educational	ADJ
cte-418	28	26	process	process	NOUN
cte-418	28	27	.	.	PUNCT
cte-418	29	1	the	the	DET
cte-418	29	2	possibilities	possibility	NOUN
cte-418	29	3	of	of	ADP
cte-418	29	4	using	use	VERB
cte-418	29	5	cloud	cloud	NOUN
cte-418	29	6	technologies	technology	NOUN
cte-418	29	7	and	and	CCONJ
cte-418	29	8	dynamic	dynamic	ADJ
cte-418	29	9	mathematics	mathematic	NOUN
cte-418	29	10	system	system	NOUN
cte-418	29	11	geogebra	geogebra	NOUN
cte-418	29	12	in	in	ADP
cte-418	29	13	the	the	DET
cte-418	29	14	educational	educational	ADJ
cte-418	29	15	process	process	NOUN
cte-418	29	16	through	through	ADP
cte-418	29	17	stereometry	stereometry	NOUN
cte-418	29	18	specialized	specialized	ADJ
cte-418	29	19	training	training	NOUN
cte-418	29	20	have	have	AUX
cte-418	29	21	been	be	AUX
cte-418	29	22	revealed	reveal	VERB
cte-418	29	23	.	.	PUNCT
cte-418	30	1	the	the	DET
cte-418	30	2	use	use	NOUN
cte-418	30	3	of	of	ADP
cte-418	30	4	geogebra	geogebra	NOUN
cte-418	30	5	dynamic	dynamic	ADJ
cte-418	30	6	mathematics	mathematic	NOUN
cte-418	30	7	in	in	ADP
cte-418	30	8	stereometry	stereometry	NOUN
cte-418	30	9	teaching	teaching	NOUN
cte-418	30	10	will	will	AUX
cte-418	30	11	favourably	favourably	ADV
cte-418	30	12	influence	influence	VERB
cte-418	30	13	the	the	DET
cte-418	30	14	formation	formation	NOUN
cte-418	30	15	of	of	ADP
cte-418	30	16	students	student	NOUN
cte-418	30	17	’	'	PUNCT
cte-418	30	18	stem	stem	NOUN
cte-418	30	19	competencies	competency	NOUN
cte-418	30	20	.	.	PUNCT
cte-418	31	1	in	in	ADP
cte-418	31	2	order	order	NOUN
cte-418	31	3	to	to	PART
cte-418	31	4	encourage	encourage	VERB
cte-418	31	5	mathematics	mathematic	NOUN
cte-418	31	6	and	and	CCONJ
cte-418	31	7	computer	computer	NOUN
cte-418	31	8	science	science	NOUN
cte-418	31	9	teachers	teacher	NOUN
cte-418	31	10	to	to	PART
cte-418	31	11	implement	implement	VERB
cte-418	31	12	effectively	effectively	ADV
cte-418	31	13	the	the	DET
cte-418	31	14	elements	element	NOUN
cte-418	31	15	of	of	ADP
cte-418	31	16	stem	stem	NOUN
cte-418	31	17	education	education	NOUN
cte-418	31	18	,	,	PUNCT
cte-418	31	19	it	it	PRON
cte-418	31	20	is	be	AUX
cte-418	31	21	suggested	suggest	VERB
cte-418	31	22	that	that	SCONJ
cte-418	31	23	cloud	cloud	NOUN
cte-418	31	24	-	-	PUNCT
cte-418	31	25	based	base	VERB
cte-418	31	26	learning	learning	NOUN
cte-418	31	27	tools	tool	NOUN
cte-418	31	28	such	such	ADJ
cte-418	31	29	as	as	ADP
cte-418	31	30	geogebra	geogebra	NOUN
cte-418	31	31	be	be	AUX
cte-418	31	32	used	use	VERB
cte-418	31	33	in	in	ADP
cte-418	31	34	the	the	DET
cte-418	31	35	teaching	teaching	NOUN
cte-418	31	36	process	process	NOUN
cte-418	31	37	.	.	PUNCT
cte-418	32	1	keywords	keyword	NOUN
cte-418	32	2	:	:	PUNCT
cte-418	32	3	geogebra	geogebra	NOUN
cte-418	32	4	3d	3d	NOUN
cte-418	32	5	graphing	graphing	NOUN
cte-418	32	6	calculator	calculator	NOUN
cte-418	32	7	,	,	PUNCT
cte-418	32	8	geometry	geometry	NOUN
cte-418	32	9	,	,	PUNCT
cte-418	32	10	stem	stem	NOUN
cte-418	32	11	competencies	competency	NOUN
cte-418	32	12	,	,	PUNCT
cte-418	32	13	stereometry	stereometry	NOUN
cte-418	32	14	teaching	teaching	NOUN
cte-418	32	15	,	,	PUNCT
cte-418	32	16	methodology	methodology	NOUN
cte-418	32	17	of	of	ADP
cte-418	32	18	teaching	teaching	NOUN
cte-418	32	19	mathematics	mathematic	NOUN
cte-418	32	20	,	,	PUNCT
cte-418	32	21	cloud	cloud	NOUN
cte-418	32	22	technologies	technology	NOUN
cte-418	32	23	in	in	ADP
cte-418	32	24	education	education	NOUN
cte-418	32	25	.	.	PUNCT
cte-418	33	1	1	1	NUM
cte-418	33	2	introduction	introduction	NOUN
cte-418	33	3	emiliya	emiliya	PROPN
cte-418	33	4	velikova	velikova	PROPN
cte-418	33	5	and	and	CCONJ
cte-418	33	6	magdalena	magdalena	PROPN
cte-418	33	7	petkova	petkova	VERB
cte-418	33	8	[	[	X
cte-418	33	9	5	5	NUM
cte-418	33	10	]	]	PUNCT
cte-418	33	11	point	point	NOUN
cte-418	33	12	out	out	ADP
cte-418	33	13	that	that	SCONJ
cte-418	33	14	every	every	DET
cte-418	33	15	society	society	NOUN
cte-418	33	16	needs	need	VERB
cte-418	33	17	stem	stem	NOUN
cte-418	33	18	professionals	professional	NOUN
cte-418	33	19	,	,	PUNCT
cte-418	33	20	talented	talented	ADJ
cte-418	33	21	people	people	NOUN
cte-418	33	22	who	who	PRON
cte-418	33	23	design	design	VERB
cte-418	33	24	new	new	ADJ
cte-418	33	25	technologies	technology	NOUN
cte-418	33	26	,	,	PUNCT
cte-418	33	27	materials	material	NOUN
cte-418	33	28	,	,	PUNCT
cte-418	33	29	constructions	construction	NOUN
cte-418	33	30	and	and	CCONJ
cte-418	33	31	processes	process	NOUN
cte-418	33	32	.	.	PUNCT
cte-418	34	1	one	one	NUM
cte-418	34	2	of	of	ADP
cte-418	34	3	stem	stem	NOUN
cte-418	34	4	training	training	NOUN
cte-418	34	5	related	relate	VERB
cte-418	34	6	fields	field	NOUN
cte-418	34	7	is	be	AUX
cte-418	34	8	an	an	DET
cte-418	34	9	integrated	integrated	ADJ
cte-418	34	10	problem	problem	NOUN
cte-418	34	11	-	-	PUNCT
cte-418	34	12	based	base	VERB
cte-418	34	13	mathematics	mathematic	NOUN
cte-418	34	14	training	training	NOUN
cte-418	34	15	.	.	PUNCT
cte-418	35	1	the	the	DET
cte-418	35	2	results	result	NOUN
cte-418	35	3	of	of	ADP
cte-418	35	4	the	the	DET
cte-418	35	5	research	research	NOUN
cte-418	35	6	study	study	NOUN
cte-418	35	7	regarding	regard	VERB
cte-418	35	8	the	the	DET
cte-418	35	9	development	development	NOUN
cte-418	35	10	of	of	ADP
cte-418	35	11	teachers	teacher	NOUN
cte-418	35	12	’	'	PUNCT
cte-418	35	13	stem	stem	NOUN
cte-418	35	14	competencies	competency	NOUN
cte-418	35	15	have	have	AUX
cte-418	35	16	shown	show	VERB
cte-418	35	17	that	that	SCONJ
cte-418	35	18	most	most	ADJ
cte-418	35	19	of	of	ADP
cte-418	35	20	them	they	PRON
cte-418	35	21	are	be	AUX
cte-418	35	22	not	not	PART
cte-418	35	23	aware	aware	ADJ
cte-418	35	24	of	of	ADP
cte-418	35	25	the	the	DET
cte-418	35	26	peculiarities	peculiarity	NOUN
cte-418	35	27	of	of	ADP
cte-418	35	28	students	student	NOUN
cte-418	35	29	’	'	PUNCT
cte-418	35	30	stem	stem	NOUN
cte-418	35	31	competencies	competency	NOUN
cte-418	35	32	formation	formation	NOUN
cte-418	35	33	.	.	PUNCT
cte-418	36	1	and	and	CCONJ
cte-418	36	2	some	some	DET
cte-418	36	3	contradictions	contradiction	NOUN
cte-418	36	4	between	between	ADP
cte-418	36	5	the	the	DET
cte-418	36	6	necessity	necessity	NOUN
cte-418	36	7	to	to	PART
cte-418	36	8	form	form	VERB
cte-418	36	9	the	the	DET
cte-418	36	10	students	student	NOUN
cte-418	36	11	’	'	PUNCT
cte-418	36	12	stem	stem	NOUN
cte-418	36	13	competencies	competency	NOUN
cte-418	36	14	and	and	CCONJ
cte-418	36	15	insufficient	insufficient	ADJ
cte-418	36	16	attention	attention	NOUN
cte-418	36	17	to	to	ADP
cte-418	36	18	the	the	DET
cte-418	36	19	training	training	NOUN
cte-418	36	20	of	of	ADP
cte-418	36	21	future	future	ADJ
cte-418	36	22	teachers	teacher	NOUN
cte-418	36	23	of	of	ADP
cte-418	36	24	mathematics	mathematic	NOUN
cte-418	36	25	occur	occur	VERB
cte-418	36	26	.	.	PUNCT
cte-418	37	1	mailto:musicvano@gmail.com	mailto:musicvano@gmail.com	X
cte-418	38	1	706	706	NUM
cte-418	38	2	cte	cte	NOUN
cte-418	38	3	workshop	workshop	NOUN
cte-418	38	4	proceedings	proceeding	NOUN
cte-418	38	5	,	,	PUNCT
cte-418	38	6	2020	2020	NUM
cte-418	38	7	,	,	PUNCT
cte-418	38	8	vol	vol	NOUN
cte-418	38	9	.	.	PUNCT
cte-418	38	10	7	7	NUM
cte-418	38	11	:	:	PUNCT
cte-418	38	12	cte-2019	cte-2019	NOUN
cte-418	38	13	,	,	PUNCT
cte-418	38	14	pp	pp	ADV
cte-418	38	15	.	.	PUNCT
cte-418	39	1	705	705	NUM
cte-418	39	2	-	-	SYM
cte-418	39	3	718	718	NUM
cte-418	39	4	one	one	NUM
cte-418	39	5	of	of	ADP
cte-418	39	6	the	the	DET
cte-418	39	7	most	most	ADV
cte-418	39	8	effective	effective	ADJ
cte-418	39	9	tools	tool	NOUN
cte-418	39	10	for	for	ADP
cte-418	39	11	stem	stem	NOUN
cte-418	39	12	-	-	PUNCT
cte-418	39	13	based	base	VERB
cte-418	39	14	mathematics	mathematic	NOUN
cte-418	39	15	teaching	teaching	NOUN
cte-418	39	16	is	be	AUX
cte-418	39	17	the	the	DET
cte-418	39	18	system	system	NOUN
cte-418	39	19	of	of	ADP
cte-418	39	20	dynamic	dynamic	ADJ
cte-418	39	21	mathematics	mathematic	NOUN
cte-418	39	22	,	,	PUNCT
cte-418	39	23	e.g.	e.g.	ADV
cte-418	39	24	gran	gran	PROPN
cte-418	39	25	2d	2d	PROPN
cte-418	39	26	tool	tool	NOUN
cte-418	39	27	[	[	X
cte-418	39	28	29	29	NUM
cte-418	39	29	]	]	PUNCT
cte-418	39	30	and	and	CCONJ
cte-418	39	31	cloud	cloud	NOUN
cte-418	39	32	-	-	PUNCT
cte-418	39	33	based	base	VERB
cte-418	39	34	geogebra	geogebra	NOUN
cte-418	39	35	[	[	X
cte-418	39	36	7	7	NUM
cte-418	39	37	;	;	PUNCT
cte-418	39	38	11	11	NUM
cte-418	39	39	]	]	PUNCT
cte-418	39	40	.	.	PUNCT
cte-418	40	1	zsolt	zsolt	PROPN
cte-418	40	2	lavicza	lavicza	PROPN
cte-418	40	3	,	,	PUNCT
cte-418	40	4	theodosia	theodosia	PROPN
cte-418	40	5	prodromou	prodromou	NOUN
cte-418	40	6	,	,	PUNCT
cte-418	40	7	kristof	kristof	PROPN
cte-418	40	8	fenyvesi	fenyvesi	PROPN
cte-418	40	9	,	,	PUNCT
cte-418	40	10	markus	markus	NOUN
cte-418	40	11	hohenwarter	hohenwarter	NOUN
cte-418	40	12	,	,	PUNCT
cte-418	40	13	istvan	istvan	PROPN
cte-418	40	14	juhos	juhos	PROPN
cte-418	40	15	,	,	PUNCT
cte-418	40	16	balazs	balazs	PROPN
cte-418	40	17	koren	koren	PROPN
cte-418	40	18	and	and	CCONJ
cte-418	40	19	jose	jose	PROPN
cte-418	40	20	manuel	manuel	PROPN
cte-418	40	21	diego	diego	PROPN
cte-418	40	22	-	-	PUNCT
cte-418	40	23	mantecón	mantecón	PROPN
cte-418	41	1	[	[	X
cte-418	41	2	15	15	NUM
cte-418	41	3	]	]	PUNCT
cte-418	41	4	claim	claim	NOUN
cte-418	41	5	that	that	SCONJ
cte-418	41	6	geogebra	geogebra	NOUN
cte-418	41	7	was	be	AUX
cte-418	41	8	designed	design	VERB
cte-418	41	9	to	to	PART
cte-418	41	10	integrate	integrate	VERB
cte-418	41	11	arithmetic	arithmetic	ADJ
cte-418	41	12	,	,	PUNCT
cte-418	41	13	algebra	algebra	NOUN
cte-418	41	14	,	,	PUNCT
cte-418	41	15	geometry	geometry	NOUN
cte-418	41	16	,	,	PUNCT
cte-418	41	17	calculus	calculus	NOUN
cte-418	41	18	,	,	PUNCT
cte-418	41	19	statistics	statistic	NOUN
cte-418	41	20	.	.	PUNCT
cte-418	42	1	in	in	ADP
cte-418	42	2	recent	recent	ADJ
cte-418	42	3	times	time	NOUN
cte-418	42	4	it	it	PRON
cte-418	42	5	is	be	AUX
cte-418	42	6	supposed	suppose	VERB
cte-418	42	7	to	to	PART
cte-418	42	8	support	support	VERB
cte-418	42	9	stem	stem	NOUN
cte-418	42	10	subjects	subject	NOUN
cte-418	42	11	as	as	ADP
cte-418	42	12	a	a	DET
cte-418	42	13	single	single	ADJ
cte-418	42	14	,	,	PUNCT
cte-418	42	15	integrated	integrated	ADJ
cte-418	42	16	system	system	NOUN
cte-418	42	17	available	available	ADJ
cte-418	42	18	on	on	ADP
cte-418	42	19	most	most	ADJ
cte-418	42	20	technology	technology	NOUN
cte-418	42	21	platforms	platform	NOUN
cte-418	42	22	.	.	PUNCT
cte-418	43	1	moreover	moreover	ADV
cte-418	43	2	,	,	PUNCT
cte-418	43	3	teachers	teacher	NOUN
cte-418	43	4	and	and	CCONJ
cte-418	43	5	students	student	NOUN
cte-418	43	6	are	be	AUX
cte-418	43	7	offered	offer	VERB
cte-418	43	8	free	free	ADJ
cte-418	43	9	access	access	NOUN
cte-418	43	10	to	to	ADP
cte-418	43	11	it	it	PRON
cte-418	43	12	all	all	PRON
cte-418	43	13	over	over	ADP
cte-418	43	14	the	the	DET
cte-418	43	15	world	world	NOUN
cte-418	43	16	.	.	PUNCT
cte-418	44	1	geogebra	geogebra	NOUN
cte-418	44	2	was	be	AUX
cte-418	44	3	originally	originally	ADV
cte-418	44	4	created	create	VERB
cte-418	44	5	to	to	PART
cte-418	44	6	integrate	integrate	VERB
cte-418	44	7	algebra	algebra	NOUN
cte-418	44	8	and	and	CCONJ
cte-418	44	9	geometry	geometry	NOUN
cte-418	44	10	into	into	ADP
cte-418	44	11	a	a	DET
cte-418	44	12	single	single	ADJ
cte-418	44	13	environment	environment	NOUN
cte-418	44	14	.	.	PUNCT
cte-418	45	1	geogebra	geogebra	NOUN
cte-418	45	2	enables	enable	VERB
cte-418	45	3	to	to	PART
cte-418	45	4	use	use	VERB
cte-418	45	5	such	such	ADJ
cte-418	45	6	new	new	ADJ
cte-418	45	7	technologies	technology	NOUN
cte-418	45	8	as	as	SCONJ
cte-418	45	9	augmented	augment	VERB
cte-418	45	10	[	[	X
cte-418	45	11	27	27	NUM
cte-418	45	12	]	]	PUNCT
cte-418	45	13	and	and	CCONJ
cte-418	45	14	virtual	virtual	ADJ
cte-418	45	15	reality	reality	NOUN
cte-418	45	16	[	[	X
cte-418	45	17	16	16	NUM
cte-418	45	18	]	]	X
cte-418	45	19	,	,	PUNCT
cte-418	45	20	3d	3d	NOUN
cte-418	45	21	printing	printing	NOUN
cte-418	46	1	[	[	X
cte-418	46	2	9	9	NUM
cte-418	46	3	]	]	PUNCT
cte-418	46	4	and	and	CCONJ
cte-418	46	5	mobile	mobile	ADJ
cte-418	46	6	learning	learning	NOUN
cte-418	46	7	[	[	X
cte-418	46	8	18	18	NUM
cte-418	46	9	]	]	PUNCT
cte-418	46	10	in	in	ADP
cte-418	46	11	the	the	DET
cte-418	46	12	learning	learning	NOUN
cte-418	46	13	mathematics	mathematic	NOUN
cte-418	46	14	.	.	PUNCT
cte-418	47	1	the	the	DET
cte-418	47	2	use	use	NOUN
cte-418	47	3	of	of	ADP
cte-418	47	4	geogebra	geogebra	NOUN
cte-418	47	5	dynamic	dynamic	ADJ
cte-418	47	6	mathematics	mathematic	NOUN
cte-418	47	7	in	in	ADP
cte-418	47	8	stereometry	stereometry	NOUN
cte-418	47	9	teaching	teaching	NOUN
cte-418	47	10	will	will	AUX
cte-418	47	11	enhance	enhance	VERB
cte-418	47	12	the	the	DET
cte-418	47	13	formation	formation	NOUN
cte-418	47	14	of	of	ADP
cte-418	47	15	students	student	NOUN
cte-418	47	16	’	'	PUNCT
cte-418	47	17	stem	stem	NOUN
cte-418	47	18	competencies	competency	NOUN
cte-418	47	19	.	.	PUNCT
cte-418	48	1	it	it	PRON
cte-418	48	2	can	can	AUX
cte-418	48	3	also	also	ADV
cte-418	48	4	be	be	AUX
cte-418	48	5	helpful	helpful	ADJ
cte-418	48	6	in	in	ADP
cte-418	48	7	the	the	DET
cte-418	48	8	formation	formation	NOUN
cte-418	48	9	of	of	ADP
cte-418	48	10	key	key	ADJ
cte-418	48	11	mathematical	mathematical	ADJ
cte-418	48	12	and	and	CCONJ
cte-418	48	13	digital	digital	ADJ
cte-418	48	14	competences	competence	NOUN
cte-418	48	15	[	[	X
cte-418	48	16	1	1	NUM
cte-418	48	17	]	]	PUNCT
cte-418	48	18	,	,	PUNCT
cte-418	48	19	self	self	NOUN
cte-418	48	20	-	-	PUNCT
cte-418	48	21	study	study	NOUN
cte-418	48	22	competences	competence	NOUN
cte-418	48	23	,	,	PUNCT
cte-418	48	24	as	as	ADV
cte-418	48	25	well	well	ADV
cte-418	48	26	as	as	ADP
cte-418	48	27	in	in	ADP
cte-418	48	28	the	the	DET
cte-418	48	29	development	development	NOUN
cte-418	48	30	of	of	ADP
cte-418	48	31	spatial	spatial	ADJ
cte-418	48	32	thinking	thinking	NOUN
cte-418	48	33	.	.	PUNCT
cte-418	49	1	in	in	ADP
cte-418	49	2	order	order	NOUN
cte-418	49	3	to	to	PART
cte-418	49	4	encourage	encourage	VERB
cte-418	49	5	mathematics	mathematic	NOUN
cte-418	49	6	and	and	CCONJ
cte-418	49	7	computer	computer	NOUN
cte-418	49	8	science	science	NOUN
cte-418	49	9	teachers	teacher	NOUN
cte-418	49	10	to	to	PART
cte-418	49	11	implement	implement	VERB
cte-418	49	12	the	the	DET
cte-418	49	13	elements	element	NOUN
cte-418	49	14	of	of	ADP
cte-418	49	15	stem	stem	NOUN
cte-418	49	16	education	education	NOUN
cte-418	49	17	,	,	PUNCT
cte-418	49	18	it	it	PRON
cte-418	49	19	is	be	AUX
cte-418	49	20	suggested	suggest	VERB
cte-418	49	21	the	the	DET
cte-418	49	22	cloud	cloud	NOUN
cte-418	49	23	-	-	PUNCT
cte-418	49	24	based	base	VERB
cte-418	49	25	learning	learning	NOUN
cte-418	49	26	tools	tool	NOUN
cte-418	49	27	[	[	X
cte-418	49	28	17	17	NUM
cte-418	49	29	]	]	X
cte-418	49	30	,	,	PUNCT
cte-418	49	31	such	such	ADJ
cte-418	49	32	as	as	ADP
cte-418	49	33	geogebra	geogebra	NOUN
cte-418	49	34	,	,	PUNCT
cte-418	49	35	be	be	AUX
cte-418	49	36	used	use	VERB
cte-418	49	37	in	in	ADP
cte-418	49	38	the	the	DET
cte-418	49	39	learning	learning	NOUN
cte-418	49	40	process	process	NOUN
cte-418	49	41	.	.	PUNCT
cte-418	50	1	2	2	NUM
cte-418	50	2	materials	material	NOUN
cte-418	50	3	and	and	CCONJ
cte-418	50	4	methods	method	NOUN
cte-418	50	5	according	accord	VERB
cte-418	50	6	to	to	ADP
cte-418	50	7	the	the	DET
cte-418	50	8	recommendation	recommendation	NOUN
cte-418	50	9	of	of	ADP
cte-418	50	10	the	the	DET
cte-418	50	11	european	european	PROPN
cte-418	50	12	commission	commission	PROPN
cte-418	50	13	[	[	X
cte-418	50	14	3	3	NUM
cte-418	50	15	,	,	PUNCT
cte-418	50	16	p.	p.	NOUN
cte-418	50	17	7	7	NUM
cte-418	50	18	]	]	PUNCT
cte-418	50	19	,	,	PUNCT
cte-418	50	20	competence	competence	NOUN
cte-418	50	21	is	be	AUX
cte-418	50	22	defined	define	VERB
cte-418	50	23	as	as	ADP
cte-418	50	24	a	a	DET
cte-418	50	25	combination	combination	NOUN
cte-418	50	26	of	of	ADP
cte-418	50	27	knowledge	knowledge	NOUN
cte-418	50	28	,	,	PUNCT
cte-418	50	29	skills	skill	NOUN
cte-418	50	30	and	and	CCONJ
cte-418	50	31	attitudes	attitude	NOUN
cte-418	50	32	.	.	PUNCT
cte-418	51	1	in	in	ADP
cte-418	51	2	the	the	DET
cte-418	51	3	updated	update	VERB
cte-418	51	4	list	list	NOUN
cte-418	51	5	of	of	ADP
cte-418	51	6	key	key	ADJ
cte-418	51	7	competences	competence	NOUN
cte-418	51	8	of	of	ADP
cte-418	51	9	a	a	DET
cte-418	51	10	personality	personality	NOUN
cte-418	51	11	eight	eight	NUM
cte-418	51	12	major	major	ADJ
cte-418	51	13	ones	one	NOUN
cte-418	51	14	are	be	AUX
cte-418	51	15	emphasized	emphasize	VERB
cte-418	51	16	[	[	X
cte-418	51	17	3	3	NUM
cte-418	51	18	]	]	PUNCT
cte-418	51	19	.	.	PUNCT
cte-418	52	1	we	we	PRON
cte-418	52	2	are	be	AUX
cte-418	52	3	keen	keen	ADJ
cte-418	52	4	to	to	PART
cte-418	52	5	foster	foster	VERB
cte-418	52	6	the	the	DET
cte-418	52	7	development	development	NOUN
cte-418	52	8	of	of	ADP
cte-418	52	9	students	student	NOUN
cte-418	52	10	’	'	PUNCT
cte-418	52	11	stem	stem	NOUN
cte-418	52	12	competencies	competency	NOUN
cte-418	52	13	:	:	PUNCT
cte-418	52	14	mathematical	mathematical	ADJ
cte-418	52	15	competence	competence	NOUN
cte-418	52	16	and	and	CCONJ
cte-418	52	17	competence	competence	NOUN
cte-418	52	18	in	in	ADP
cte-418	52	19	science	science	NOUN
cte-418	52	20	,	,	PUNCT
cte-418	52	21	technology	technology	NOUN
cte-418	52	22	and	and	CCONJ
cte-418	52	23	engineering	engineering	NOUN
cte-418	52	24	.	.	PUNCT
cte-418	53	1	serhiy	serhiy	PROPN
cte-418	53	2	a.	a.	PROPN
cte-418	53	3	rakov	rakov	PROPN
cte-418	53	4	explores	explore	VERB
cte-418	53	5	the	the	DET
cte-418	53	6	possibilities	possibility	NOUN
cte-418	53	7	of	of	ADP
cte-418	53	8	mastering	master	VERB
cte-418	53	9	mathematical	mathematical	ADJ
cte-418	53	10	competencies	competency	NOUN
cte-418	53	11	in	in	ADP
cte-418	53	12	the	the	DET
cte-418	53	13	learning	learning	NOUN
cte-418	53	14	by	by	ADP
cte-418	53	15	future	future	ADJ
cte-418	53	16	teachers	teacher	NOUN
cte-418	53	17	through	through	ADP
cte-418	53	18	the	the	DET
cte-418	53	19	research	research	NOUN
cte-418	53	20	approach	approach	NOUN
cte-418	53	21	using	use	VERB
cte-418	53	22	the	the	DET
cte-418	53	23	system	system	NOUN
cte-418	53	24	of	of	ADP
cte-418	53	25	dynamic	dynamic	ADJ
cte-418	53	26	mathematics	mathematic	NOUN
cte-418	53	27	dg	dg	NOUN
cte-418	54	1	[	[	X
cte-418	54	2	19	19	NUM
cte-418	54	3	]	]	PUNCT
cte-418	54	4	.	.	PUNCT
cte-418	55	1	the	the	DET
cte-418	55	2	scientist	scientist	NOUN
cte-418	55	3	distinguishes	distinguish	VERB
cte-418	55	4	procedural	procedural	ADJ
cte-418	55	5	,	,	PUNCT
cte-418	55	6	logical	logical	ADJ
cte-418	55	7	,	,	PUNCT
cte-418	55	8	technological	technological	ADJ
cte-418	55	9	,	,	PUNCT
cte-418	55	10	research	research	NOUN
cte-418	55	11	and	and	CCONJ
cte-418	55	12	methodological	methodological	ADJ
cte-418	55	13	competencies	competency	NOUN
cte-418	55	14	of	of	ADP
cte-418	55	15	mathematics	mathematics	NOUN
cte-418	55	16	teacher	teacher	NOUN
cte-418	55	17	.	.	PUNCT
cte-418	56	1	in	in	ADP
cte-418	56	2	particular	particular	ADJ
cte-418	56	3	,	,	PUNCT
cte-418	56	4	methodological	methodological	ADJ
cte-418	56	5	competence	competence	NOUN
cte-418	56	6	implies	imply	VERB
cte-418	56	7	the	the	DET
cte-418	56	8	ability	ability	NOUN
cte-418	56	9	to	to	PART
cte-418	56	10	assess	assess	VERB
cte-418	56	11	the	the	DET
cte-418	56	12	appropriateness	appropriateness	NOUN
cte-418	56	13	of	of	ADP
cte-418	56	14	using	use	VERB
cte-418	56	15	mathematical	mathematical	ADJ
cte-418	56	16	methods	method	NOUN
cte-418	56	17	to	to	PART
cte-418	56	18	solve	solve	VERB
cte-418	56	19	individual	individual	ADJ
cte-418	56	20	and	and	CCONJ
cte-418	56	21	social	social	ADJ
cte-418	56	22	issues	issue	NOUN
cte-418	56	23	.	.	PUNCT
cte-418	57	1	consider	consider	VERB
cte-418	57	2	in	in	ADP
cte-418	57	3	detail	detail	NOUN
cte-418	57	4	the	the	DET
cte-418	57	5	opportunities	opportunity	NOUN
cte-418	57	6	which	which	DET
cte-418	57	7	geogebra	geogebra	NOUN
cte-418	57	8	gives	give	VERB
cte-418	57	9	to	to	ADP
cte-418	57	10	a	a	DET
cte-418	57	11	teacher	teacher	NOUN
cte-418	57	12	.	.	PUNCT
cte-418	58	1	markus	markus	PROPN
cte-418	58	2	hohenwarter	hohenwarter	PROPN
cte-418	58	3	,	,	PUNCT
cte-418	58	4	judith	judith	PROPN
cte-418	58	5	hohenwarter	hohenwarter	PROPN
cte-418	58	6	,	,	PUNCT
cte-418	58	7	yves	yves	PROPN
cte-418	58	8	kreis	kreis	PROPN
cte-418	58	9	and	and	CCONJ
cte-418	58	10	zsolt	zsolt	PROPN
cte-418	58	11	lavicza	lavicza	PROPN
cte-418	59	1	[	[	X
cte-418	59	2	10	10	NUM
cte-418	59	3	]	]	PUNCT
cte-418	59	4	emphasize	emphasize	VERB
cte-418	59	5	a	a	DET
cte-418	59	6	significantly	significantly	ADV
cte-418	59	7	important	important	ADJ
cte-418	59	8	role	role	NOUN
cte-418	59	9	of	of	ADP
cte-418	59	10	free	free	ADJ
cte-418	59	11	open	open	ADJ
cte-418	59	12	-	-	PUNCT
cte-418	59	13	source	source	NOUN
cte-418	59	14	software	software	NOUN
cte-418	59	15	for	for	ADP
cte-418	59	16	teaching	teach	VERB
cte-418	59	17	mathematics	mathematic	NOUN
cte-418	59	18	world	world	NOUN
cte-418	59	19	-	-	PUNCT
cte-418	59	20	wide	wide	ADV
cte-418	59	21	.	.	PUNCT
cte-418	60	1	open	open	ADJ
cte-418	60	2	-	-	PUNCT
cte-418	60	3	source	source	NOUN
cte-418	60	4	software	software	NOUN
cte-418	60	5	do	do	AUX
cte-418	60	6	not	not	PART
cte-418	60	7	only	only	ADV
cte-418	60	8	offer	offer	VERB
cte-418	60	9	opportunities	opportunity	NOUN
cte-418	60	10	for	for	ADP
cte-418	60	11	teachers	teacher	NOUN
cte-418	60	12	and	and	CCONJ
cte-418	60	13	students	student	NOUN
cte-418	60	14	to	to	PART
cte-418	60	15	use	use	VERB
cte-418	60	16	them	they	PRON
cte-418	60	17	both	both	CCONJ
cte-418	60	18	at	at	ADP
cte-418	60	19	home	home	NOUN
cte-418	60	20	and	and	CCONJ
cte-418	60	21	in	in	ADP
cte-418	60	22	the	the	DET
cte-418	60	23	classroom	classroom	NOUN
cte-418	60	24	without	without	ADP
cte-418	60	25	any	any	DET
cte-418	60	26	restrictions	restriction	NOUN
cte-418	60	27	,	,	PUNCT
cte-418	60	28	but	but	CCONJ
cte-418	60	29	they	they	PRON
cte-418	60	30	also	also	ADV
cte-418	60	31	provide	provide	VERB
cte-418	60	32	the	the	DET
cte-418	60	33	tools	tool	NOUN
cte-418	60	34	for	for	ADP
cte-418	60	35	developing	develop	VERB
cte-418	60	36	support	support	NOUN
cte-418	60	37	and	and	CCONJ
cte-418	60	38	user	user	NOUN
cte-418	60	39	communities	community	NOUN
cte-418	60	40	reaching	reach	VERB
cte-418	60	41	across	across	ADP
cte-418	60	42	borders	border	NOUN
cte-418	60	43	.	.	PUNCT
cte-418	61	1	such	such	ADJ
cte-418	61	2	collaboration	collaboration	NOUN
cte-418	61	3	as	as	ADV
cte-418	61	4	well	well	ADV
cte-418	61	5	contributes	contribute	VERB
cte-418	61	6	to	to	ADP
cte-418	61	7	the	the	DET
cte-418	61	8	equal	equal	ADJ
cte-418	61	9	access	access	NOUN
cte-418	61	10	to	to	ADP
cte-418	61	11	technological	technological	ADJ
cte-418	61	12	resources	resource	NOUN
cte-418	61	13	and	and	CCONJ
cte-418	61	14	democratization	democratization	NOUN
cte-418	61	15	of	of	ADP
cte-418	61	16	learning	learning	NOUN
cte-418	61	17	and	and	CCONJ
cte-418	61	18	teaching	teaching	NOUN
cte-418	61	19	mathematics	mathematic	NOUN
cte-418	61	20	.	.	PUNCT
cte-418	62	1	geogebra	geogebra	NOUN
cte-418	62	2	is	be	AUX
cte-418	62	3	available	available	ADJ
cte-418	62	4	in	in	ADP
cte-418	62	5	multiple	multiple	ADJ
cte-418	62	6	languages	language	NOUN
cte-418	62	7	.	.	PUNCT
cte-418	63	1	using	use	VERB
cte-418	63	2	geogebra	geogebra	NOUN
cte-418	63	3	a	a	DET
cte-418	63	4	teacher	teacher	NOUN
cte-418	63	5	can	can	AUX
cte-418	63	6	create	create	VERB
cte-418	63	7	interactive	interactive	ADJ
cte-418	63	8	materials	material	NOUN
cte-418	63	9	to	to	PART
cte-418	63	10	solve	solve	VERB
cte-418	63	11	the	the	DET
cte-418	63	12	main	main	ADJ
cte-418	63	13	tasks	task	NOUN
cte-418	63	14	of	of	ADP
cte-418	63	15	teaching	teaching	NOUN
cte-418	63	16	geometry	geometry	NOUN
cte-418	63	17	–	–	PUNCT
cte-418	63	18	the	the	DET
cte-418	63	19	development	development	NOUN
cte-418	63	20	of	of	ADP
cte-418	63	21	spatial	spatial	ADJ
cte-418	63	22	imagination	imagination	NOUN
cte-418	63	23	,	,	PUNCT
cte-418	63	24	practical	practical	ADJ
cte-418	63	25	understanding	understanding	NOUN
cte-418	63	26	and	and	CCONJ
cte-418	63	27	logical	logical	ADJ
cte-418	63	28	thinking	thinking	NOUN
cte-418	63	29	.	.	PUNCT
cte-418	64	1	geogebra	geogebra	NOUN
cte-418	64	2	can	can	AUX
cte-418	64	3	be	be	AUX
cte-418	64	4	used	use	VERB
cte-418	64	5	both	both	PRON
cte-418	64	6	in	in	ADP
cte-418	64	7	standalone	standalone	ADJ
cte-418	64	8	and	and	CCONJ
cte-418	64	9	online	online	ADJ
cte-418	64	10	modes	mode	NOUN
cte-418	64	11	on	on	ADP
cte-418	64	12	mobile	mobile	ADJ
cte-418	64	13	internet	internet	NOUN
cte-418	64	14	cte	cte	NOUN
cte-418	64	15	workshop	workshop	NOUN
cte-418	64	16	proceedings	proceeding	NOUN
cte-418	64	17	,	,	PUNCT
cte-418	64	18	2020	2020	NUM
cte-418	64	19	,	,	PUNCT
cte-418	64	20	vol	vol	NOUN
cte-418	64	21	.	.	PUNCT
cte-418	65	1	7	7	NUM
cte-418	65	2	:	:	PUNCT
cte-418	65	3	cte-2019	cte-2019	NOUN
cte-418	65	4	,	,	PUNCT
cte-418	65	5	pp	pp	ADV
cte-418	65	6	.	.	PUNCT
cte-418	66	1	705	705	NUM
cte-418	66	2	-	-	SYM
cte-418	66	3	718	718	NUM
cte-418	66	4	707	707	NUM
cte-418	66	5	devices	device	NOUN
cte-418	66	6	(	(	PUNCT
cte-418	66	7	mid	mid	NOUN
cte-418	66	8	)	)	PUNCT
cte-418	66	9	which	which	PRON
cte-418	66	10	offer	offer	VERB
cte-418	66	11	new	new	ADJ
cte-418	66	12	opportunities	opportunity	NOUN
cte-418	66	13	to	to	PART
cte-418	66	14	improve	improve	VERB
cte-418	66	15	learning	learn	VERB
cte-418	66	16	and	and	CCONJ
cte-418	66	17	teaching	teaching	NOUN
cte-418	66	18	either	either	CCONJ
cte-418	66	19	inside	inside	ADP
cte-418	66	20	or	or	CCONJ
cte-418	66	21	outside	outside	ADV
cte-418	66	22	of	of	ADP
cte-418	66	23	classrooms	classroom	NOUN
cte-418	66	24	[	[	X
cte-418	66	25	28	28	NUM
cte-418	66	26	]	]	PUNCT
cte-418	66	27	.	.	PUNCT
cte-418	67	1	further	further	ADJ
cte-418	67	2	advantage	advantage	NOUN
cte-418	67	3	of	of	ADP
cte-418	67	4	geogebra	geogebra	NOUN
cte-418	67	5	is	be	AUX
cte-418	67	6	the	the	DET
cte-418	67	7	resources	resource	NOUN
cte-418	67	8	tab	tab	NOUN
cte-418	67	9	containing	contain	VERB
cte-418	67	10	a	a	DET
cte-418	67	11	number	number	NOUN
cte-418	67	12	of	of	ADP
cte-418	67	13	teaching	teach	VERB
cte-418	67	14	materials	material	NOUN
cte-418	67	15	:	:	PUNCT
cte-418	67	16	textbooks	textbook	NOUN
cte-418	67	17	,	,	PUNCT
cte-418	67	18	articles	article	NOUN
cte-418	67	19	,	,	PUNCT
cte-418	67	20	instructions	instruction	NOUN
cte-418	67	21	,	,	PUNCT
cte-418	67	22	and	and	CCONJ
cte-418	67	23	illustrations	illustration	NOUN
cte-418	67	24	.	.	PUNCT
cte-418	68	1	also	also	ADV
cte-418	68	2	,	,	PUNCT
cte-418	68	3	a	a	DET
cte-418	68	4	registered	register	VERB
cte-418	68	5	users	user	NOUN
cte-418	68	6	can	can	AUX
cte-418	68	7	share	share	VERB
cte-418	68	8	their	their	PRON
cte-418	68	9	own	own	ADJ
cte-418	68	10	educational	educational	ADJ
cte-418	68	11	materials	material	NOUN
cte-418	68	12	on	on	ADP
cte-418	68	13	the	the	DET
cte-418	68	14	official	official	ADJ
cte-418	68	15	website	website	NOUN
cte-418	68	16	via	via	ADP
cte-418	68	17	geogebratube	geogebratube	NOUN
cte-418	68	18	(	(	PUNCT
cte-418	68	19	this	this	PRON
cte-418	68	20	is	be	AUX
cte-418	68	21	a	a	DET
cte-418	68	22	kind	kind	NOUN
cte-418	68	23	of	of	ADP
cte-418	68	24	file	file	NOUN
cte-418	68	25	-	-	PUNCT
cte-418	68	26	sharing	sharing	NOUN
cte-418	68	27	site	site	NOUN
cte-418	68	28	)	)	PUNCT
cte-418	68	29	.	.	PUNCT
cte-418	69	1	its	its	PRON
cte-418	69	2	essential	essential	ADJ
cte-418	69	3	feature	feature	NOUN
cte-418	69	4	is	be	AUX
cte-418	69	5	that	that	SCONJ
cte-418	69	6	the	the	DET
cte-418	69	7	created	create	VERB
cte-418	69	8	dynamic	dynamic	ADJ
cte-418	69	9	constructions	construction	NOUN
cte-418	69	10	can	can	AUX
cte-418	69	11	be	be	AUX
cte-418	69	12	accessed	access	VERB
cte-418	69	13	online	online	ADV
cte-418	69	14	via	via	ADP
cte-418	69	15	the	the	DET
cte-418	69	16	use	use	NOUN
cte-418	69	17	of	of	ADP
cte-418	69	18	view	view	NOUN
cte-418	69	19	sheet	sheet	NOUN
cte-418	69	20	tool	tool	NOUN
cte-418	69	21	.	.	PUNCT
cte-418	70	1	any	any	DET
cte-418	70	2	user	user	NOUN
cte-418	70	3	is	be	AUX
cte-418	70	4	allowed	allow	VERB
cte-418	70	5	to	to	PART
cte-418	70	6	comment	comment	VERB
cte-418	70	7	on	on	ADP
cte-418	70	8	geogebratube	geogebratube	NOUN
cte-418	70	9	content	content	NOUN
cte-418	70	10	.	.	PUNCT
cte-418	71	1	a	a	DET
cte-418	71	2	user	user	NOUN
cte-418	71	3	is	be	AUX
cte-418	71	4	provided	provide	VERB
cte-418	71	5	with	with	ADP
cte-418	71	6	a	a	DET
cte-418	71	7	possibility	possibility	NOUN
cte-418	71	8	to	to	PART
cte-418	71	9	create	create	VERB
cte-418	71	10	their	their	PRON
cte-418	71	11	own	own	ADJ
cte-418	71	12	geogebrabook	geogebrabook	NOUN
cte-418	71	13	,	,	PUNCT
cte-418	71	14	a	a	DET
cte-418	71	15	folder	folder	NOUN
cte-418	71	16	where	where	SCONJ
cte-418	71	17	selected	select	VERB
cte-418	71	18	materials	material	NOUN
cte-418	71	19	can	can	AUX
cte-418	71	20	be	be	AUX
cte-418	71	21	added	add	VERB
cte-418	71	22	and	and	CCONJ
cte-418	71	23	subfolders	subfolder	NOUN
cte-418	71	24	can	can	AUX
cte-418	71	25	be	be	AUX
cte-418	71	26	created	create	VERB
cte-418	71	27	.	.	PUNCT
cte-418	72	1	a	a	DET
cte-418	72	2	user	user	NOUN
cte-418	72	3	can	can	AUX
cte-418	72	4	publish	publish	VERB
cte-418	72	5	a	a	DET
cte-418	72	6	game	game	NOUN
cte-418	72	7	,	,	PUNCT
cte-418	72	8	a	a	DET
cte-418	72	9	collection	collection	NOUN
cte-418	72	10	of	of	ADP
cte-418	72	11	visuals	visual	NOUN
cte-418	72	12	,	,	PUNCT
cte-418	72	13	lesson	lesson	NOUN
cte-418	72	14	workbook	workbook	NOUN
cte-418	72	15	that	that	PRON
cte-418	72	16	may	may	AUX
cte-418	72	17	include	include	VERB
cte-418	72	18	text	text	NOUN
cte-418	72	19	messages	message	NOUN
cte-418	72	20	,	,	PUNCT
cte-418	72	21	geogebra	geogebra	NOUN
cte-418	72	22	models	model	NOUN
cte-418	72	23	,	,	PUNCT
cte-418	72	24	web	web	NOUN
cte-418	72	25	pages	page	NOUN
cte-418	72	26	,	,	PUNCT
cte-418	72	27	questions	question	NOUN
cte-418	72	28	,	,	PUNCT
cte-418	72	29	videos	video	NOUN
cte-418	72	30	,	,	PUNCT
cte-418	72	31	images	image	NOUN
cte-418	72	32	and	and	CCONJ
cte-418	72	33	manuals	manual	NOUN
cte-418	72	34	public	public	ADJ
cte-418	72	35	to	to	ADP
cte-418	72	36	anyone	anyone	PRON
cte-418	72	37	.	.	PUNCT
cte-418	73	1	geogebratube	geogebratube	NOUN
cte-418	73	2	content	content	NOUN
cte-418	73	3	can	can	AUX
cte-418	73	4	be	be	AUX
cte-418	73	5	shared	share	VERB
cte-418	73	6	via	via	ADP
cte-418	73	7	social	social	ADJ
cte-418	73	8	networks	network	NOUN
cte-418	73	9	facebook	facebook	NOUN
cte-418	73	10	,	,	PUNCT
cte-418	73	11	twitter	twitter	NOUN
cte-418	73	12	,	,	PUNCT
cte-418	73	13	emailed	email	VERB
cte-418	73	14	and	and	CCONJ
cte-418	73	15	uploaded	upload	VERB
cte-418	73	16	to	to	ADP
cte-418	73	17	google	google	PROPN
cte-418	73	18	drive	drive	NOUN
cte-418	73	19	.	.	PUNCT
cte-418	74	1	cloud	cloud	NOUN
cte-418	74	2	-	-	PUNCT
cte-418	74	3	based	base	VERB
cte-418	74	4	tools	tool	NOUN
cte-418	74	5	affect	affect	VERB
cte-418	74	6	favourably	favourably	ADV
cte-418	74	7	teacher	teacher	NOUN
cte-418	74	8	-	-	PUNCT
cte-418	74	9	student	student	NOUN
cte-418	74	10	interactions	interaction	NOUN
cte-418	74	11	in	in	ADP
cte-418	74	12	an	an	DET
cte-418	74	13	informal	informal	ADJ
cte-418	74	14	learning	learning	NOUN
cte-418	74	15	environment	environment	NOUN
cte-418	74	16	.	.	PUNCT
cte-418	75	1	ljubica	ljubica	PROPN
cte-418	75	2	diković	diković	PROPN
cte-418	75	3	statistically	statistically	ADV
cte-418	75	4	confirms	confirm	VERB
cte-418	75	5	the	the	DET
cte-418	75	6	fact	fact	NOUN
cte-418	75	7	that	that	SCONJ
cte-418	75	8	the	the	DET
cte-418	75	9	use	use	NOUN
cte-418	75	10	of	of	ADP
cte-418	75	11	geogebra	geogebra	NOUN
cte-418	75	12	applications	application	NOUN
cte-418	75	13	in	in	ADP
cte-418	75	14	learning	learn	VERB
cte-418	75	15	calculus	calculus	NOUN
cte-418	75	16	had	have	AUX
cte-418	75	17	a	a	DET
cte-418	75	18	positive	positive	ADJ
cte-418	75	19	effect	effect	NOUN
cte-418	75	20	on	on	ADP
cte-418	75	21	the	the	DET
cte-418	75	22	development	development	NOUN
cte-418	75	23	of	of	ADP
cte-418	75	24	students	student	NOUN
cte-418	75	25	’	'	PUNCT
cte-418	75	26	reasoning	reasoning	NOUN
cte-418	75	27	and	and	CCONJ
cte-418	75	28	visualization	visualization	NOUN
cte-418	75	29	skills	skill	NOUN
cte-418	75	30	[	[	X
cte-418	75	31	4	4	NUM
cte-418	75	32	]	]	PUNCT
cte-418	75	33	.	.	PUNCT
cte-418	76	1	the	the	DET
cte-418	76	2	issues	issue	NOUN
cte-418	76	3	of	of	ADP
cte-418	76	4	using	use	VERB
cte-418	76	5	geogebra	geogebra	NOUN
cte-418	76	6	are	be	AUX
cte-418	76	7	highlighted	highlight	VERB
cte-418	76	8	in	in	ADP
cte-418	76	9	the	the	DET
cte-418	76	10	research	research	NOUN
cte-418	76	11	studies	study	NOUN
cte-418	76	12	of	of	ADP
cte-418	76	13	olena	olena	PROPN
cte-418	76	14	v.	v.	ADP
cte-418	76	15	semenikhina	semenikhina	PROPN
cte-418	77	1	[	[	X
cte-418	77	2	24	24	NUM
cte-418	77	3	]	]	PUNCT
cte-418	77	4	,	,	PUNCT
cte-418	77	5	maryna	maryna	PROPN
cte-418	77	6	h.	h.	PROPN
cte-418	77	7	drushliak	drushliak	PROPN
cte-418	77	8	[	[	X
cte-418	77	9	23	23	NUM
cte-418	77	10	]	]	PUNCT
cte-418	77	11	,	,	PUNCT
cte-418	77	12	natalya	natalya	PROPN
cte-418	78	1	v.	v.	PROPN
cte-418	78	2	rashevska	rashevska	ADJ
cte-418	79	1	[	[	X
cte-418	79	2	20	20	NUM
cte-418	79	3	]	]	PUNCT
cte-418	79	4	and	and	CCONJ
cte-418	79	5	others	other	NOUN
cte-418	79	6	.	.	PUNCT
cte-418	80	1	application	application	NOUN
cte-418	80	2	of	of	ADP
cte-418	80	3	geogebra	geogebra	NOUN
cte-418	80	4	5.0	5.0	NUM
cte-418	80	5	to	to	ADP
cte-418	80	6	the	the	DET
cte-418	80	7	solution	solution	NOUN
cte-418	80	8	of	of	ADP
cte-418	80	9	solid	solid	ADJ
cte-418	80	10	geometry	geometry	NOUN
cte-418	80	11	problems	problem	NOUN
cte-418	80	12	has	have	AUX
cte-418	80	13	been	be	AUX
cte-418	80	14	analyzed	analyze	VERB
cte-418	80	15	in	in	ADP
cte-418	80	16	the	the	DET
cte-418	80	17	article	article	NOUN
cte-418	80	18	[	[	X
cte-418	80	19	23	23	NUM
cte-418	80	20	]	]	PUNCT
cte-418	80	21	.	.	PUNCT
cte-418	81	1	examples	example	NOUN
cte-418	81	2	of	of	ADP
cte-418	81	3	solid	solid	ADJ
cte-418	81	4	geometry	geometry	NOUN
cte-418	81	5	problems	problem	NOUN
cte-418	81	6	with	with	ADP
cte-418	81	7	detailed	detailed	ADJ
cte-418	81	8	solution	solution	NOUN
cte-418	81	9	and	and	CCONJ
cte-418	81	10	learning	learning	NOUN
cte-418	81	11	clues	clue	NOUN
cte-418	81	12	have	have	AUX
cte-418	81	13	been	be	AUX
cte-418	81	14	presented	present	VERB
cte-418	81	15	.	.	PUNCT
cte-418	82	1	among	among	ADP
cte-418	82	2	them	they	PRON
cte-418	82	3	there	there	PRON
cte-418	82	4	are	be	VERB
cte-418	82	5	problems	problem	NOUN
cte-418	82	6	on	on	ADP
cte-418	82	7	auxiliary	auxiliary	ADJ
cte-418	82	8	section	section	NOUN
cte-418	82	9	,	,	PUNCT
cte-418	82	10	polyhedron	polyhedron	NOUN
cte-418	82	11	net	net	NOUN
cte-418	82	12	,	,	PUNCT
cte-418	82	13	locus	locus	NOUN
cte-418	82	14	problems	problem	NOUN
cte-418	82	15	,	,	PUNCT
cte-418	82	16	space	space	NOUN
cte-418	82	17	transformations	transformation	NOUN
cte-418	82	18	etc	etc	X
cte-418	82	19	.	.	PUNCT
cte-418	83	1	the	the	DET
cte-418	83	2	article	article	NOUN
cte-418	83	3	[	[	X
cte-418	83	4	24	24	NUM
cte-418	83	5	]	]	PUNCT
cte-418	83	6	discusses	discuss	VERB
cte-418	83	7	the	the	DET
cte-418	83	8	relevance	relevance	NOUN
cte-418	83	9	of	of	ADP
cte-418	83	10	the	the	DET
cte-418	83	11	study	study	NOUN
cte-418	83	12	of	of	ADP
cte-418	83	13	the	the	DET
cte-418	83	14	dynamic	dynamic	ADJ
cte-418	83	15	mathematics	mathematic	NOUN
cte-418	83	16	software	software	NOUN
cte-418	83	17	for	for	ADP
cte-418	83	18	future	future	ADJ
cte-418	83	19	teachers	teacher	NOUN
cte-418	83	20	of	of	ADP
cte-418	83	21	mathematics	mathematics	PROPN
cte-418	83	22	in	in	ADP
cte-418	83	23	ukraine	ukraine	PROPN
cte-418	83	24	.	.	PUNCT
cte-418	84	1	modelling	model	VERB
cte-418	84	2	implies	imply	VERB
cte-418	84	3	simplifying	simplify	VERB
cte-418	84	4	thus	thus	ADV
cte-418	84	5	providing	provide	VERB
cte-418	84	6	the	the	DET
cte-418	84	7	model	model	NOUN
cte-418	84	8	with	with	ADP
cte-418	84	9	its	its	PRON
cte-418	84	10	own	own	ADJ
cte-418	84	11	characteristics	characteristic	NOUN
cte-418	84	12	,	,	PUNCT
cte-418	84	13	independent	independent	ADJ
cte-418	84	14	from	from	ADP
cte-418	84	15	the	the	DET
cte-418	84	16	original	original	ADJ
cte-418	84	17	reality	reality	NOUN
cte-418	84	18	.	.	PUNCT
cte-418	85	1	consequently	consequently	ADV
cte-418	85	2	,	,	PUNCT
cte-418	85	3	geometry	geometry	NOUN
cte-418	85	4	,	,	PUNCT
cte-418	85	5	in	in	ADP
cte-418	85	6	its	its	PRON
cte-418	85	7	interpretation	interpretation	NOUN
cte-418	85	8	and	and	CCONJ
cte-418	85	9	processing	processing	NOUN
cte-418	85	10	,	,	PUNCT
cte-418	85	11	acts	act	VERB
cte-418	85	12	like	like	ADP
cte-418	85	13	a	a	DET
cte-418	85	14	new	new	ADJ
cte-418	85	15	reality	reality	NOUN
cte-418	85	16	both	both	CCONJ
cte-418	85	17	abstract	abstract	ADJ
cte-418	85	18	in	in	ADP
cte-418	85	19	its	its	PRON
cte-418	85	20	logic	logic	NOUN
cte-418	85	21	and	and	CCONJ
cte-418	85	22	concrete	concrete	NOUN
cte-418	85	23	in	in	ADP
cte-418	85	24	its	its	PRON
cte-418	85	25	representation	representation	NOUN
cte-418	85	26	modes	mode	NOUN
cte-418	85	27	.	.	PUNCT
cte-418	86	1	in	in	ADP
cte-418	86	2	the	the	DET
cte-418	86	3	article	article	NOUN
cte-418	86	4	[	[	X
cte-418	86	5	21	21	NUM
cte-418	86	6	]	]	PUNCT
cte-418	86	7	the	the	DET
cte-418	86	8	authors	author	NOUN
cte-418	86	9	begin	begin	VERB
cte-418	86	10	with	with	ADP
cte-418	86	11	classical	classical	ADJ
cte-418	86	12	theories	theory	NOUN
cte-418	86	13	of	of	ADP
cte-418	86	14	modelling	model	VERB
cte-418	86	15	representation	representation	NOUN
cte-418	86	16	processes	process	NOUN
cte-418	86	17	in	in	ADP
cte-418	86	18	order	order	NOUN
cte-418	86	19	to	to	PART
cte-418	86	20	apply	apply	VERB
cte-418	86	21	them	they	PRON
cte-418	86	22	to	to	ADP
cte-418	86	23	3d	3d	NUM
cte-418	86	24	dynamic	dynamic	ADJ
cte-418	86	25	geometry	geometry	NOUN
cte-418	86	26	software	software	NOUN
cte-418	86	27	,	,	PUNCT
cte-418	86	28	geogebra3d	geogebra3d	NOUN
cte-418	86	29	,	,	PUNCT
cte-418	86	30	computing	compute	VERB
cte-418	86	31	development	development	NOUN
cte-418	86	32	seeking	seek	VERB
cte-418	86	33	to	to	PART
cte-418	86	34	bring	bring	VERB
cte-418	86	35	geometric	geometric	ADJ
cte-418	86	36	models	model	NOUN
cte-418	86	37	closer	close	ADV
cte-418	86	38	to	to	ADP
cte-418	86	39	the	the	DET
cte-418	86	40	reality	reality	NOUN
cte-418	86	41	of	of	ADP
cte-418	86	42	a	a	DET
cte-418	86	43	school	school	NOUN
cte-418	86	44	setting	setting	NOUN
cte-418	86	45	.	.	PUNCT
cte-418	87	1	the	the	DET
cte-418	87	2	authors	author	NOUN
cte-418	87	3	introduce	introduce	VERB
cte-418	87	4	three	three	NUM
cte-418	87	5	key	key	ADJ
cte-418	87	6	notions	notion	NOUN
cte-418	87	7	,	,	PUNCT
cte-418	87	8	developed	develop	VERB
cte-418	87	9	from	from	ADP
cte-418	87	10	mathematics	mathematic	NOUN
cte-418	87	11	teaching	teaching	NOUN
cte-418	87	12	,	,	PUNCT
cte-418	87	13	in	in	ADP
cte-418	87	14	order	order	NOUN
cte-418	87	15	to	to	PART
cte-418	87	16	support	support	VERB
cte-418	87	17	the	the	DET
cte-418	87	18	exploration	exploration	NOUN
cte-418	87	19	of	of	ADP
cte-418	87	20	two	two	NUM
cte-418	87	21	interaction	interaction	NOUN
cte-418	87	22	situations	situation	NOUN
cte-418	87	23	between	between	ADP
cte-418	87	24	mathematics	mathematic	NOUN
cte-418	87	25	and	and	CCONJ
cte-418	87	26	their	their	PRON
cte-418	87	27	teaching	teaching	NOUN
cte-418	87	28	.	.	PUNCT
cte-418	88	1	finally	finally	ADV
cte-418	88	2	,	,	PUNCT
cte-418	88	3	they	they	PRON
cte-418	88	4	finish	finish	VERB
cte-418	88	5	on	on	ADP
cte-418	88	6	a	a	DET
cte-418	88	7	few	few	ADJ
cte-418	88	8	general	general	ADJ
cte-418	88	9	considerations	consideration	NOUN
cte-418	88	10	for	for	ADP
cte-418	88	11	the	the	DET
cte-418	88	12	teaching	teaching	NOUN
cte-418	88	13	of	of	ADP
cte-418	88	14	mathematics	mathematic	NOUN
cte-418	88	15	.	.	PUNCT
cte-418	89	1	in	in	ADP
cte-418	89	2	teaching	teaching	NOUN
cte-418	89	3	stereometry	stereometry	NOUN
cte-418	89	4	,	,	PUNCT
cte-418	89	5	the	the	DET
cte-418	89	6	assignment	assignment	NOUN
cte-418	89	7	worksheets	worksheet	NOUN
cte-418	89	8	on	on	ADP
cte-418	89	9	the	the	DET
cte-418	89	10	construction	construction	NOUN
cte-418	89	11	of	of	ADP
cte-418	89	12	sections	section	NOUN
cte-418	89	13	through	through	ADP
cte-418	89	14	the	the	DET
cte-418	89	15	trace	trace	NOUN
cte-418	89	16	method	method	NOUN
cte-418	89	17	,	,	PUNCT
cte-418	89	18	internal	internal	ADJ
cte-418	89	19	projection	projection	NOUN
cte-418	89	20	and	and	CCONJ
cte-418	89	21	combination	combination	NOUN
cte-418	89	22	method	method	NOUN
cte-418	89	23	by	by	ADP
cte-418	89	24	volodymyr	volodymyr	PROPN
cte-418	89	25	a.	a.	NOUN
cte-418	89	26	sydoruk	sydoruk	PROPN
cte-418	89	27	[	[	X
cte-418	89	28	25	25	NUM
cte-418	89	29	]	]	PUNCT
cte-418	89	30	should	should	AUX
cte-418	89	31	be	be	AUX
cte-418	89	32	taken	take	VERB
cte-418	89	33	into	into	ADP
cte-418	89	34	consideration	consideration	NOUN
cte-418	89	35	.	.	PUNCT
cte-418	90	1	each	each	PRON
cte-418	90	2	of	of	ADP
cte-418	90	3	the	the	DET
cte-418	90	4	assignments	assignment	NOUN
cte-418	90	5	is	be	AUX
cte-418	90	6	provided	provide	VERB
cte-418	90	7	with	with	ADP
cte-418	90	8	the	the	DET
cte-418	90	9	possibility	possibility	NOUN
cte-418	90	10	of	of	ADP
cte-418	90	11	step	step	NOUN
cte-418	90	12	-	-	PUNCT
cte-418	90	13	by	by	ADP
cte-418	90	14	-	-	PUNCT
cte-418	90	15	step	step	NOUN
cte-418	90	16	procedure	procedure	NOUN
cte-418	90	17	of	of	ADP
cte-418	90	18	the	the	DET
cte-418	90	19	construction	construction	NOUN
cte-418	90	20	building	building	NOUN
cte-418	90	21	.	.	PUNCT
cte-418	91	1	thus	thus	ADV
cte-418	91	2	,	,	PUNCT
cte-418	91	3	students	student	NOUN
cte-418	91	4	are	be	AUX
cte-418	91	5	given	give	VERB
cte-418	91	6	an	an	DET
cte-418	91	7	opportunity	opportunity	NOUN
cte-418	91	8	to	to	PART
cte-418	91	9	develop	develop	VERB
cte-418	91	10	both	both	DET
cte-418	91	11	mathematical	mathematical	ADJ
cte-418	91	12	competence	competence	NOUN
cte-418	91	13	and	and	CCONJ
cte-418	91	14	the	the	DET
cte-418	91	15	ability	ability	NOUN
cte-418	91	16	to	to	PART
cte-418	91	17	learn	learn	VERB
cte-418	91	18	independently	independently	ADV
cte-418	91	19	.	.	PUNCT
cte-418	92	1	some	some	DET
cte-418	92	2	assignments	assignment	NOUN
cte-418	92	3	include	include	VERB
cte-418	92	4	constructions	construction	NOUN
cte-418	92	5	created	create	VERB
cte-418	92	6	on	on	ADP
cte-418	92	7	a	a	DET
cte-418	92	8	3d	3d	NUM
cte-418	92	9	canvas	canvas	NOUN
cte-418	92	10	.	.	PUNCT
cte-418	93	1	n.	n.	PROPN
cte-418	93	2	f.	f.	PROPN
cte-418	93	3	fariha	fariha	PROPN
cte-418	93	4	and	and	CCONJ
cte-418	93	5	h.	h.	PROPN
cte-418	93	6	p.	p.	NOUN
cte-418	93	7	lestari	lestari	NOUN
cte-418	94	1	[	[	X
cte-418	94	2	6	6	NUM
cte-418	94	3	]	]	PUNCT
cte-418	94	4	describe	describe	NOUN
cte-418	94	5	in	in	ADP
cte-418	94	6	detail	detail	NOUN
cte-418	94	7	how	how	SCONJ
cte-418	94	8	to	to	PART
cte-418	94	9	realize	realize	VERB
cte-418	94	10	the	the	DET
cte-418	94	11	dandelin	dandelin	NOUN
cte-418	94	12	sphere	sphere	ADV
cte-418	94	13	more	more	ADV
cte-418	94	14	realistically	realistically	ADV
cte-418	94	15	,	,	PUNCT
cte-418	94	16	using	use	VERB
cte-418	94	17	geogebra	geogebra	NOUN
cte-418	94	18	classic	classic	NOUN
cte-418	94	19	5	5	NUM
cte-418	94	20	,	,	PUNCT
cte-418	94	21	which	which	PRON
cte-418	94	22	supports	support	VERB
cte-418	94	23	the	the	DET
cte-418	94	24	creation	creation	NOUN
cte-418	94	25	of	of	ADP
cte-418	94	26	3d	3d	PROPN
cte-418	94	27	708	708	NUM
cte-418	94	28	cte	cte	NOUN
cte-418	94	29	workshop	workshop	NOUN
cte-418	94	30	proceedings	proceeding	NOUN
cte-418	94	31	,	,	PUNCT
cte-418	94	32	2020	2020	NUM
cte-418	94	33	,	,	PUNCT
cte-418	94	34	vol	vol	NOUN
cte-418	94	35	.	.	PUNCT
cte-418	94	36	7	7	NUM
cte-418	94	37	:	:	PUNCT
cte-418	94	38	cte-2019	cte-2019	NOUN
cte-418	94	39	,	,	PUNCT
cte-418	94	40	pp	pp	ADV
cte-418	94	41	.	.	PUNCT
cte-418	95	1	705	705	NUM
cte-418	95	2	-	-	SYM
cte-418	95	3	718	718	NUM
cte-418	95	4	images	image	NOUN
cte-418	95	5	.	.	PUNCT
cte-418	96	1	at	at	ADP
cte-418	96	2	a	a	DET
cte-418	96	3	profound	profound	ADJ
cte-418	96	4	methodological	methodological	ADJ
cte-418	96	5	level	level	NOUN
cte-418	96	6	,	,	PUNCT
cte-418	96	7	a	a	DET
cte-418	96	8	number	number	NOUN
cte-418	96	9	of	of	ADP
cte-418	96	10	assignments	assignment	NOUN
cte-418	96	11	on	on	ADP
cte-418	96	12	combinations	combination	NOUN
cte-418	96	13	of	of	ADP
cte-418	96	14	geometrical	geometrical	ADJ
cte-418	96	15	solid	solid	ADJ
cte-418	96	16	shapes	shape	NOUN
cte-418	96	17	was	be	AUX
cte-418	96	18	created	create	VERB
cte-418	96	19	by	by	ADP
cte-418	96	20	mykhailo	mykhailo	PROPN
cte-418	96	21	y.	y.	PROPN
cte-418	96	22	rykovskyi	rykovskyi	PROPN
cte-418	96	23	[	[	X
cte-418	96	24	22	22	NUM
cte-418	96	25	]	]	PUNCT
cte-418	96	26	.	.	PUNCT
cte-418	97	1	these	these	DET
cte-418	97	2	models	model	NOUN
cte-418	97	3	are	be	AUX
cte-418	97	4	designed	design	VERB
cte-418	97	5	as	as	ADP
cte-418	97	6	constructions	construction	NOUN
cte-418	97	7	of	of	ADP
cte-418	97	8	plane	plane	NOUN
cte-418	97	9	geometric	geometric	ADJ
cte-418	97	10	shapes	shape	NOUN
cte-418	97	11	through	through	ADP
cte-418	97	12	the	the	DET
cte-418	97	13	use	use	NOUN
cte-418	97	14	of	of	ADP
cte-418	97	15	parallel	parallel	ADJ
cte-418	97	16	projection	projection	NOUN
cte-418	97	17	properties	property	NOUN
cte-418	97	18	.	.	PUNCT
cte-418	98	1	they	they	PRON
cte-418	98	2	are	be	AUX
cte-418	98	3	intended	intend	VERB
cte-418	98	4	to	to	PART
cte-418	98	5	be	be	AUX
cte-418	98	6	used	use	VERB
cte-418	98	7	to	to	PART
cte-418	98	8	visualize	visualize	VERB
cte-418	98	9	the	the	DET
cte-418	98	10	properties	property	NOUN
cte-418	98	11	of	of	ADP
cte-418	98	12	geometrical	geometrical	ADJ
cte-418	98	13	shapes	shape	NOUN
cte-418	98	14	.	.	PUNCT
cte-418	99	1	however	however	ADV
cte-418	99	2	,	,	PUNCT
cte-418	99	3	students	student	NOUN
cte-418	99	4	might	might	AUX
cte-418	99	5	face	face	VERB
cte-418	99	6	a	a	DET
cte-418	99	7	challenge	challenge	NOUN
cte-418	99	8	with	with	ADP
cte-418	99	9	reproducing	reproducing	NOUN
cte-418	99	10	models	model	NOUN
cte-418	99	11	as	as	ADP
cte-418	99	12	the	the	DET
cte-418	99	13	algorithm	algorithm	NOUN
cte-418	99	14	of	of	ADP
cte-418	99	15	the	the	DET
cte-418	99	16	construction	construction	NOUN
cte-418	99	17	and	and	CCONJ
cte-418	99	18	details	detail	NOUN
cte-418	99	19	of	of	ADP
cte-418	99	20	the	the	DET
cte-418	99	21	construction	construction	NOUN
cte-418	99	22	are	be	AUX
cte-418	99	23	not	not	PART
cte-418	99	24	available	available	ADJ
cte-418	99	25	for	for	ADP
cte-418	99	26	them	they	PRON
cte-418	99	27	.	.	PUNCT
cte-418	100	1	the	the	DET
cte-418	100	2	models	model	NOUN
cte-418	100	3	are	be	AUX
cte-418	100	4	designed	design	VERB
cte-418	100	5	as	as	ADP
cte-418	100	6	constructions	construction	NOUN
cte-418	100	7	of	of	ADP
cte-418	100	8	plane	plane	NOUN
cte-418	100	9	geometric	geometric	ADJ
cte-418	100	10	shapes	shape	NOUN
cte-418	100	11	with	with	ADP
cte-418	100	12	the	the	DET
cte-418	100	13	use	use	NOUN
cte-418	100	14	of	of	ADP
cte-418	100	15	the	the	DET
cte-418	100	16	properties	property	NOUN
cte-418	100	17	of	of	ADP
cte-418	100	18	parallel	parallel	ADJ
cte-418	100	19	projection	projection	NOUN
cte-418	100	20	.	.	PUNCT
cte-418	101	1	in	in	ADP
cte-418	101	2	particular	particular	ADJ
cte-418	101	3	,	,	PUNCT
cte-418	101	4	a	a	DET
cte-418	101	5	book	book	NOUN
cte-418	101	6	/	/	SYM
cte-418	101	7	collection	collection	NOUN
cte-418	101	8	of	of	ADP
cte-418	101	9	visuals	visual	NOUN
cte-418	101	10	covering	cover	VERB
cte-418	101	11	the	the	DET
cte-418	101	12	topic	topic	NOUN
cte-418	101	13	“	"	PUNCT
cte-418	101	14	prism	prism	NOUN
cte-418	101	15	”	"	PUNCT
cte-418	101	16	is	be	AUX
cte-418	101	17	recommended	recommend	VERB
cte-418	101	18	.	.	PUNCT
cte-418	102	1	there	there	PRON
cte-418	102	2	is	be	VERB
cte-418	102	3	a	a	DET
cte-418	102	4	number	number	NOUN
cte-418	102	5	of	of	ADP
cte-418	102	6	visuals	visual	NOUN
cte-418	102	7	that	that	PRON
cte-418	102	8	represents	represent	VERB
cte-418	102	9	combinations	combination	NOUN
cte-418	102	10	of	of	ADP
cte-418	102	11	stereometric	stereometric	ADJ
cte-418	102	12	shapes	shape	NOUN
cte-418	102	13	:	:	PUNCT
cte-418	102	14	sphere	sphere	NOUN
cte-418	102	15	and	and	CCONJ
cte-418	102	16	pyramid	pyramid	NOUN
cte-418	102	17	,	,	PUNCT
cte-418	102	18	sphere	sphere	NOUN
cte-418	102	19	and	and	CCONJ
cte-418	102	20	prism	prism	NOUN
cte-418	102	21	,	,	PUNCT
cte-418	102	22	sphere	sphere	NOUN
cte-418	102	23	and	and	CCONJ
cte-418	102	24	cylinder	cylinder	NOUN
cte-418	102	25	etc	etc	X
cte-418	102	26	.	.	X
cte-418	102	27	consider	consider	VERB
cte-418	102	28	the	the	DET
cte-418	102	29	visual	visual	ADJ
cte-418	102	30	“	"	PUNCT
cte-418	102	31	there	there	PRON
cte-418	102	32	is	be	VERB
cte-418	102	33	a	a	DET
cte-418	102	34	cone	cone	NOUN
cte-418	102	35	inscribed	inscribe	VERB
cte-418	102	36	in	in	ADP
cte-418	102	37	the	the	DET
cte-418	102	38	sphere	sphere	NOUN
cte-418	102	39	.	.	PUNCT
cte-418	103	1	and	and	CCONJ
cte-418	103	2	there	there	PRON
cte-418	103	3	is	be	VERB
cte-418	103	4	the	the	DET
cte-418	103	5	right	right	ADJ
cte-418	103	6	triangular	triangular	NOUN
cte-418	103	7	pyramid	pyramid	NOUN
cte-418	103	8	inscribed	inscribe	VERB
cte-418	103	9	into	into	ADP
cte-418	103	10	the	the	DET
cte-418	103	11	cone	cone	NOUN
cte-418	103	12	.	.	PUNCT
cte-418	104	1	a	a	DET
cte-418	104	2	pyramid	pyramid	NOUN
cte-418	104	3	is	be	AUX
cte-418	104	4	inscribed	inscribe	VERB
cte-418	104	5	in	in	ADP
cte-418	104	6	the	the	DET
cte-418	104	7	sphere	sphere	NOUN
cte-418	104	8	”	"	PUNCT
cte-418	104	9	.	.	PUNCT
cte-418	105	1	even	even	ADV
cte-418	105	2	the	the	DET
cte-418	105	3	name	name	NOUN
cte-418	105	4	itself	itself	PRON
cte-418	105	5	suggests	suggest	VERB
cte-418	105	6	that	that	SCONJ
cte-418	105	7	integrity	integrity	NOUN
cte-418	105	8	is	be	AUX
cte-418	105	9	inherent	inherent	ADJ
cte-418	105	10	to	to	ADP
cte-418	105	11	visuals	visual	NOUN
cte-418	105	12	.	.	PUNCT
cte-418	106	1	it	it	PRON
cte-418	106	2	can	can	AUX
cte-418	106	3	be	be	AUX
cte-418	106	4	used	use	VERB
cte-418	106	5	in	in	ADP
cte-418	106	6	the	the	DET
cte-418	106	7	process	process	NOUN
cte-418	106	8	of	of	ADP
cte-418	106	9	teaching	teaching	NOUN
cte-418	106	10	stereometry	stereometry	NOUN
cte-418	106	11	in	in	ADP
cte-418	106	12	school	school	NOUN
cte-418	106	13	or	or	CCONJ
cte-418	106	14	teaching	teaching	NOUN
cte-418	106	15	methodology	methodology	NOUN
cte-418	106	16	of	of	ADP
cte-418	106	17	mathematics	mathematic	NOUN
cte-418	106	18	on	on	ADP
cte-418	106	19	various	various	ADJ
cte-418	106	20	topics	topic	NOUN
cte-418	106	21	.	.	PUNCT
cte-418	107	1	while	while	SCONJ
cte-418	107	2	using	use	VERB
cte-418	107	3	visual	visual	ADJ
cte-418	107	4	aids	aid	NOUN
cte-418	107	5	,	,	PUNCT
cte-418	107	6	users	user	NOUN
cte-418	107	7	are	be	AUX
cte-418	107	8	advised	advise	VERB
cte-418	107	9	to	to	PART
cte-418	107	10	study	study	VERB
cte-418	107	11	the	the	DET
cte-418	107	12	properties	property	NOUN
cte-418	107	13	of	of	ADP
cte-418	107	14	shapes	shape	NOUN
cte-418	107	15	inscribed	inscribe	VERB
cte-418	107	16	into	into	ADP
cte-418	107	17	the	the	DET
cte-418	107	18	sphere	sphere	NOUN
cte-418	107	19	,	,	PUNCT
cte-418	107	20	to	to	PART
cte-418	107	21	look	look	VERB
cte-418	107	22	into	into	ADP
cte-418	107	23	the	the	DET
cte-418	107	24	relationship	relationship	NOUN
cte-418	107	25	between	between	ADP
cte-418	107	26	the	the	DET
cte-418	107	27	sphere	sphere	NOUN
cte-418	107	28	radius	radius	NOUN
cte-418	107	29	,	,	PUNCT
cte-418	107	30	radius	radius	NOUN
cte-418	107	31	of	of	ADP
cte-418	107	32	cone	cone	NOUN
cte-418	107	33	base	base	NOUN
cte-418	107	34	,	,	PUNCT
cte-418	107	35	the	the	DET
cte-418	107	36	height	height	NOUN
cte-418	107	37	of	of	ADP
cte-418	107	38	the	the	DET
cte-418	107	39	cone	cone	NOUN
cte-418	107	40	and	and	CCONJ
cte-418	107	41	element	element	NOUN
cte-418	107	42	of	of	ADP
cte-418	107	43	the	the	DET
cte-418	107	44	cone	cone	NOUN
cte-418	107	45	.	.	PUNCT
cte-418	108	1	these	these	DET
cte-418	108	2	visuals	visual	NOUN
cte-418	108	3	are	be	AUX
cte-418	108	4	equipped	equip	VERB
cte-418	108	5	with	with	ADP
cte-418	108	6	the	the	DET
cte-418	108	7	checkbox	checkbox	NOUN
cte-418	108	8	tool	tool	NOUN
cte-418	108	9	which	which	PRON
cte-418	108	10	allows	allow	VERB
cte-418	108	11	a	a	DET
cte-418	108	12	user	user	NOUN
cte-418	108	13	to	to	PART
cte-418	108	14	do	do	VERB
cte-418	108	15	the	the	DET
cte-418	108	16	revision	revision	NOUN
cte-418	108	17	and	and	CCONJ
cte-418	108	18	answer	answer	VERB
cte-418	108	19	to	to	ADP
cte-418	108	20	the	the	DET
cte-418	108	21	questions	question	NOUN
cte-418	108	22	:	:	PUNCT
cte-418	108	23	which	which	DET
cte-418	108	24	cone	cone	NOUN
cte-418	108	25	is	be	AUX
cte-418	108	26	called	call	VERB
cte-418	108	27	inscribed	inscribe	VERB
cte-418	108	28	into	into	ADP
cte-418	108	29	the	the	DET
cte-418	108	30	sphere	sphere	NOUN
cte-418	108	31	?	?	PUNCT
cte-418	109	1	what	what	PRON
cte-418	109	2	element	element	NOUN
cte-418	109	3	of	of	ADP
cte-418	109	4	the	the	DET
cte-418	109	5	cone	cone	NOUN
cte-418	109	6	is	be	AUX
cte-418	109	7	the	the	DET
cte-418	109	8	center	center	NOUN
cte-418	109	9	of	of	ADP
cte-418	109	10	the	the	DET
cte-418	109	11	sphere	sphere	NOUN
cte-418	109	12	?	?	PUNCT
cte-418	110	1	which	which	DET
cte-418	110	2	pyramid	pyramid	NOUN
cte-418	110	3	is	be	AUX
cte-418	110	4	called	call	VERB
cte-418	110	5	inscribed	inscribe	VERB
cte-418	110	6	in	in	ADP
cte-418	110	7	the	the	DET
cte-418	110	8	cone	cone	NOUN
cte-418	110	9	?	?	PUNCT
cte-418	111	1	which	which	DET
cte-418	111	2	pyramid	pyramid	NOUN
cte-418	111	3	is	be	AUX
cte-418	111	4	called	call	VERB
cte-418	111	5	inscribed	inscribe	VERB
cte-418	111	6	into	into	ADP
cte-418	111	7	the	the	DET
cte-418	111	8	sphere	sphere	NOUN
cte-418	111	9	?	?	PUNCT
cte-418	112	1	how	how	SCONJ
cte-418	112	2	to	to	PART
cte-418	112	3	find	find	VERB
cte-418	112	4	the	the	DET
cte-418	112	5	axial	axial	ADJ
cte-418	112	6	section	section	NOUN
cte-418	112	7	of	of	ADP
cte-418	112	8	the	the	DET
cte-418	112	9	cone	cone	NOUN
cte-418	112	10	?	?	PUNCT
cte-418	113	1	which	which	DET
cte-418	113	2	circle	circle	NOUN
cte-418	113	3	of	of	ADP
cte-418	113	4	the	the	DET
cte-418	113	5	sphere	sphere	NOUN
cte-418	113	6	is	be	AUX
cte-418	113	7	called	call	VERB
cte-418	113	8	a	a	DET
cte-418	113	9	great	great	ADJ
cte-418	113	10	circle	circle	NOUN
cte-418	113	11	?	?	PUNCT
cte-418	114	1	which	which	DET
cte-418	114	2	properties	property	NOUN
cte-418	114	3	of	of	ADP
cte-418	114	4	the	the	DET
cte-418	114	5	diameter	diameter	NOUN
cte-418	114	6	of	of	ADP
cte-418	114	7	the	the	DET
cte-418	114	8	sphere	sphere	NOUN
cte-418	114	9	perpendicular	perpendicular	NOUN
cte-418	114	10	to	to	ADP
cte-418	114	11	its	its	PRON
cte-418	114	12	great	great	ADJ
cte-418	114	13	circle	circle	NOUN
cte-418	114	14	?	?	PUNCT
cte-418	115	1	3	3	NUM
cte-418	115	2	setting	set	VERB
cte-418	115	3	a	a	DET
cte-418	115	4	task	task	NOUN
cte-418	115	5	mobile	mobile	ADJ
cte-418	115	6	applications	application	NOUN
cte-418	115	7	such	such	ADJ
cte-418	115	8	as	as	ADP
cte-418	115	9	geometry	geometry	NOUN
cte-418	115	10	,	,	PUNCT
cte-418	115	11	graphing	graphing	NOUN
cte-418	115	12	calculator	calculator	NOUN
cte-418	115	13	,	,	PUNCT
cte-418	115	14	3d	3d	NUM
cte-418	115	15	graphing	graphing	NOUN
cte-418	115	16	calculator	calculator	NOUN
cte-418	115	17	have	have	AUX
cte-418	115	18	been	be	AUX
cte-418	115	19	relatively	relatively	ADV
cte-418	115	20	recently	recently	ADV
cte-418	115	21	launched	launch	VERB
cte-418	115	22	and	and	CCONJ
cte-418	115	23	now	now	ADV
cte-418	115	24	they	they	PRON
cte-418	115	25	are	be	AUX
cte-418	115	26	available	available	ADJ
cte-418	115	27	on	on	ADP
cte-418	115	28	the	the	DET
cte-418	115	29	official	official	ADJ
cte-418	115	30	geogebra	geogebra	NOUN
cte-418	115	31	website	website	NOUN
cte-418	115	32	.	.	PUNCT
cte-418	116	1	these	these	DET
cte-418	116	2	applications	application	NOUN
cte-418	116	3	are	be	AUX
cte-418	116	4	still	still	ADV
cte-418	116	5	undergoing	undergo	VERB
cte-418	116	6	improvements	improvement	NOUN
cte-418	116	7	.	.	PUNCT
cte-418	117	1	however	however	ADV
cte-418	117	2	,	,	PUNCT
cte-418	117	3	the	the	DET
cte-418	117	4	methodology	methodology	NOUN
cte-418	117	5	of	of	ADP
cte-418	117	6	their	their	PRON
cte-418	117	7	use	use	NOUN
cte-418	117	8	,	,	PUNCT
cte-418	117	9	and	and	CCONJ
cte-418	117	10	especially	especially	ADV
cte-418	117	11	in	in	ADP
cte-418	117	12	teaching	teaching	NOUN
cte-418	117	13	stereometry	stereometry	NOUN
cte-418	117	14	,	,	PUNCT
cte-418	117	15	is	be	AUX
cte-418	117	16	not	not	PART
cte-418	117	17	yet	yet	ADV
cte-418	117	18	well	well	ADV
cte-418	117	19	developed	develop	VERB
cte-418	117	20	.	.	PUNCT
cte-418	118	1	therefore	therefore	ADV
cte-418	118	2	,	,	PUNCT
cte-418	118	3	this	this	DET
cte-418	118	4	paper	paper	NOUN
cte-418	118	5	aims	aim	VERB
cte-418	118	6	at	at	ADP
cte-418	118	7	elucidating	elucidate	VERB
cte-418	118	8	the	the	DET
cte-418	118	9	features	feature	NOUN
cte-418	118	10	of	of	ADP
cte-418	118	11	creating	create	VERB
cte-418	118	12	visuals	visual	NOUN
cte-418	118	13	with	with	ADP
cte-418	118	14	geogebra	geogebra	NOUN
cte-418	118	15	and	and	CCONJ
cte-418	118	16	their	their	PRON
cte-418	118	17	use	use	NOUN
cte-418	118	18	in	in	ADP
cte-418	118	19	teaching	teach	VERB
cte-418	118	20	how	how	SCONJ
cte-418	118	21	to	to	PART
cte-418	118	22	solve	solve	VERB
cte-418	118	23	stereometric	stereometric	ADJ
cte-418	118	24	problems	problem	NOUN
cte-418	118	25	.	.	PUNCT
cte-418	119	1	4	4	NUM
cte-418	119	2	results	result	VERB
cte-418	119	3	4.1	4.1	NUM
cte-418	119	4	geogebrabook	geogebrabook	NOUN
cte-418	119	5	“	"	PUNCT
cte-418	119	6	models	model	NOUN
cte-418	119	7	for	for	ADP
cte-418	119	8	stereometric	stereometric	ADJ
cte-418	119	9	problems	problem	NOUN
cte-418	119	10	”	"	PUNCT
cte-418	119	11	as	as	SCONJ
cte-418	119	12	training	training	NOUN
cte-418	119	13	manual	manual	NOUN
cte-418	119	14	on	on	ADP
cte-418	119	15	the	the	DET
cte-418	119	16	methodology	methodology	NOUN
cte-418	119	17	of	of	ADP
cte-418	119	18	teaching	teach	VERB
cte-418	119	19	mathematics	mathematic	NOUN
cte-418	119	20	the	the	DET
cte-418	119	21	methodical	methodical	ADJ
cte-418	119	22	materials	material	NOUN
cte-418	119	23	of	of	ADP
cte-418	119	24	the	the	DET
cte-418	119	25	paper	paper	NOUN
cte-418	119	26	authors	author	NOUN
cte-418	119	27	related	relate	VERB
cte-418	119	28	to	to	ADP
cte-418	119	29	the	the	DET
cte-418	119	30	use	use	NOUN
cte-418	119	31	of	of	ADP
cte-418	119	32	the	the	DET
cte-418	119	33	gran	gran	PROPN
cte-418	119	34	software	software	NOUN
cte-418	119	35	are	be	AUX
cte-418	119	36	presented	present	VERB
cte-418	119	37	in	in	ADP
cte-418	119	38	the	the	DET
cte-418	119	39	manual	manual	ADJ
cte-418	119	40	“	"	PUNCT
cte-418	119	41	innovative	innovative	ADJ
cte-418	119	42	information	information	NOUN
cte-418	119	43	and	and	CCONJ
cte-418	119	44	communication	communication	NOUN
cte-418	119	45	technologies	technology	NOUN
cte-418	119	46	of	of	ADP
cte-418	119	47	teaching	teach	VERB
cte-418	119	48	mathematics	mathematic	NOUN
cte-418	119	49	”	"	PUNCT
cte-418	119	50	.	.	PUNCT
cte-418	120	1	the	the	DET
cte-418	120	2	issue	issue	NOUN
cte-418	120	3	of	of	ADP
cte-418	120	4	geogebra	geogebra	NOUN
cte-418	120	5	use	use	NOUN
cte-418	120	6	has	have	AUX
cte-418	120	7	been	be	AUX
cte-418	120	8	considered	consider	VERB
cte-418	120	9	in	in	ADP
cte-418	120	10	an	an	DET
cte-418	120	11	updated	update	VERB
cte-418	120	12	version	version	NOUN
cte-418	120	13	of	of	ADP
cte-418	120	14	the	the	DET
cte-418	120	15	manual	manual	NOUN
cte-418	120	16	[	[	X
cte-418	120	17	12	12	NUM
cte-418	120	18	]	]	PUNCT
cte-418	120	19	.	.	PUNCT
cte-418	121	1	on	on	ADP
cte-418	121	2	the	the	DET
cte-418	121	3	geogebra	geogebra	NOUN
cte-418	121	4	site	site	NOUN
cte-418	121	5	,	,	PUNCT
cte-418	121	6	users	user	NOUN
cte-418	121	7	can	can	AUX
cte-418	121	8	find	find	VERB
cte-418	121	9	the	the	DET
cte-418	121	10	materials	material	NOUN
cte-418	121	11	cte	cte	NOUN
cte-418	121	12	workshop	workshop	NOUN
cte-418	121	13	proceedings	proceeding	NOUN
cte-418	121	14	,	,	PUNCT
cte-418	121	15	2020	2020	NUM
cte-418	121	16	,	,	PUNCT
cte-418	121	17	vol	vol	NOUN
cte-418	121	18	.	.	PUNCT
cte-418	121	19	7	7	NUM
cte-418	121	20	:	:	PUNCT
cte-418	121	21	cte-2019	cte-2019	NOUN
cte-418	121	22	,	,	PUNCT
cte-418	121	23	pp	pp	ADV
cte-418	121	24	.	.	PUNCT
cte-418	122	1	705	705	NUM
cte-418	122	2	-	-	SYM
cte-418	122	3	718	718	NUM
cte-418	122	4	709	709	NUM
cte-418	122	5	which	which	PRON
cte-418	122	6	contain	contain	VERB
cte-418	122	7	relevant	relevant	ADJ
cte-418	122	8	visuals	visual	NOUN
cte-418	122	9	at	at	ADP
cte-418	122	10	geogebrabook	geogebrabook	NOUN
cte-418	122	11	“	"	PUNCT
cte-418	122	12	models	model	NOUN
cte-418	122	13	for	for	ADP
cte-418	122	14	stereometric	stereometric	ADJ
cte-418	122	15	tasks	task	NOUN
cte-418	122	16	”	"	PUNCT
cte-418	123	1	[	[	X
cte-418	123	2	14	14	NUM
cte-418	123	3	]	]	PUNCT
cte-418	123	4	.	.	PUNCT
cte-418	124	1	one	one	PRON
cte-418	124	2	can	can	AUX
cte-418	124	3	find	find	VERB
cte-418	124	4	here	here	ADV
cte-418	124	5	problem	problem	NOUN
cte-418	124	6	situations	situation	NOUN
cte-418	124	7	to	to	PART
cte-418	124	8	be	be	AUX
cte-418	124	9	solved	solve	VERB
cte-418	124	10	by	by	ADP
cte-418	124	11	students	student	NOUN
cte-418	124	12	independently	independently	ADV
cte-418	124	13	,	,	PUNCT
cte-418	124	14	selfassessment	selfassessment	NOUN
cte-418	124	15	tests	test	NOUN
cte-418	124	16	.	.	PUNCT
cte-418	125	1	the	the	DET
cte-418	125	2	study	study	NOUN
cte-418	125	3	of	of	ADP
cte-418	125	4	the	the	DET
cte-418	125	5	effectiveness	effectiveness	NOUN
cte-418	125	6	of	of	ADP
cte-418	125	7	the	the	DET
cte-418	125	8	use	use	NOUN
cte-418	125	9	of	of	ADP
cte-418	125	10	geogebra	geogebra	NOUN
cte-418	125	11	mobile	mobile	ADJ
cte-418	125	12	applications	application	NOUN
cte-418	125	13	in	in	ADP
cte-418	125	14	the	the	DET
cte-418	125	15	process	process	NOUN
cte-418	125	16	of	of	ADP
cte-418	125	17	teaching	teaching	NOUN
cte-418	125	18	stereometry	stereometry	NOUN
cte-418	125	19	was	be	AUX
cte-418	125	20	conducted	conduct	VERB
cte-418	125	21	by	by	ADP
cte-418	125	22	us	we	PRON
cte-418	125	23	within	within	ADP
cte-418	125	24	the	the	DET
cte-418	125	25	preparation	preparation	NOUN
cte-418	125	26	of	of	ADP
cte-418	125	27	future	future	ADJ
cte-418	125	28	teachers	teacher	NOUN
cte-418	125	29	of	of	ADP
cte-418	125	30	mathematics	mathematic	NOUN
cte-418	125	31	during	during	ADP
cte-418	125	32	mathematics	mathematics	NOUN
cte-418	125	33	teaching	teaching	NOUN
cte-418	125	34	methodology	methodology	NOUN
cte-418	125	35	classes	class	NOUN
cte-418	125	36	,	,	PUNCT
cte-418	125	37	advanced	advanced	ADJ
cte-418	125	38	training	training	NOUN
cte-418	125	39	courses	course	NOUN
cte-418	125	40	at	at	ADP
cte-418	125	41	kryvyi	kryvyi	PROPN
cte-418	125	42	rih	rih	VERB
cte-418	125	43	state	state	PROPN
cte-418	125	44	pedagogical	pedagogical	ADJ
cte-418	125	45	university	university	NOUN
cte-418	125	46	,	,	PUNCT
cte-418	125	47	in	in	ADP
cte-418	125	48	teaching	teach	VERB
cte-418	125	49	students	student	NOUN
cte-418	125	50	of	of	ADP
cte-418	125	51	kryvyi	kryvyi	PROPN
cte-418	125	52	rih	rih	VERB
cte-418	125	53	state	state	PROPN
cte-418	125	54	college	college	NOUN
cte-418	125	55	of	of	ADP
cte-418	125	56	economics	economic	NOUN
cte-418	125	57	and	and	CCONJ
cte-418	125	58	technologies	technology	NOUN
cte-418	125	59	,	,	PUNCT
cte-418	125	60	and	and	CCONJ
cte-418	125	61	students	student	NOUN
cte-418	125	62	of	of	ADP
cte-418	125	63	classes	class	NOUN
cte-418	125	64	with	with	ADP
cte-418	125	65	mathematical	mathematical	ADJ
cte-418	125	66	specialization	specialization	NOUN
cte-418	125	67	of	of	ADP
cte-418	125	68	kryvyi	kryvyi	PROPN
cte-418	125	69	rih	rih	VERB
cte-418	125	70	schools	school	NOUN
cte-418	125	71	.	.	PUNCT
cte-418	126	1	particular	particular	ADJ
cte-418	126	2	interest	interest	NOUN
cte-418	126	3	in	in	ADP
cte-418	126	4	using	use	VERB
cte-418	126	5	geogebra	geogebra	NOUN
cte-418	126	6	was	be	AUX
cte-418	126	7	shown	show	VERB
cte-418	126	8	during	during	ADP
cte-418	126	9	the	the	DET
cte-418	126	10	advanced	advanced	ADJ
cte-418	126	11	training	training	NOUN
cte-418	126	12	courses	course	NOUN
cte-418	126	13	by	by	ADP
cte-418	126	14	kryvyi	kryvyi	PROPN
cte-418	126	15	rih	rih	VERB
cte-418	126	16	teachers	teacher	NOUN
cte-418	126	17	of	of	ADP
cte-418	126	18	mathematics	mathematic	NOUN
cte-418	126	19	who	who	PRON
cte-418	126	20	have	have	AUX
cte-418	126	21	been	be	AUX
cte-418	126	22	working	work	VERB
cte-418	126	23	at	at	ADP
cte-418	126	24	school	school	NOUN
cte-418	126	25	for	for	ADP
cte-418	126	26	a	a	DET
cte-418	126	27	considerable	considerable	ADJ
cte-418	126	28	time	time	NOUN
cte-418	126	29	.	.	PUNCT
cte-418	127	1	the	the	DET
cte-418	127	2	study	study	NOUN
cte-418	127	3	was	be	AUX
cte-418	127	4	also	also	ADV
cte-418	127	5	conducted	conduct	VERB
cte-418	127	6	on	on	ADP
cte-418	127	7	the	the	DET
cte-418	127	8	effectiveness	effectiveness	NOUN
cte-418	127	9	of	of	ADP
cte-418	127	10	the	the	DET
cte-418	127	11	use	use	NOUN
cte-418	127	12	of	of	ADP
cte-418	127	13	geogebra	geogebra	NOUN
cte-418	127	14	applications	application	NOUN
cte-418	127	15	by	by	ADP
cte-418	127	16	students	student	NOUN
cte-418	127	17	in	in	ADP
cte-418	127	18	order	order	NOUN
cte-418	127	19	to	to	PART
cte-418	127	20	enhance	enhance	VERB
cte-418	127	21	students	student	NOUN
cte-418	127	22	’	'	PUNCT
cte-418	127	23	motivation	motivation	NOUN
cte-418	127	24	during	during	ADP
cte-418	127	25	extra	extra	ADJ
cte-418	127	26	-	-	ADJ
cte-418	127	27	curricular	curricular	ADJ
cte-418	127	28	vocational	vocational	ADJ
cte-418	127	29	activities	activity	NOUN
cte-418	127	30	at	at	ADP
cte-418	127	31	the	the	DET
cte-418	127	32	university	university	NOUN
cte-418	127	33	.	.	PUNCT
cte-418	128	1	and	and	CCONJ
cte-418	128	2	it	it	PRON
cte-418	128	3	was	be	AUX
cte-418	128	4	studied	study	VERB
cte-418	128	5	as	as	ADV
cte-418	128	6	well	well	ADV
cte-418	128	7	during	during	ADP
cte-418	128	8	the	the	DET
cte-418	128	9	course	course	NOUN
cte-418	128	10	of	of	ADP
cte-418	128	11	sereometry	sereometry	NOUN
cte-418	128	12	lessons	lesson	NOUN
cte-418	128	13	conducted	conduct	VERB
cte-418	128	14	by	by	ADP
cte-418	128	15	masters	master	NOUN
cte-418	128	16	majoring	major	VERB
cte-418	128	17	in	in	ADP
cte-418	128	18	mathematics	mathematics	PROPN
cte-418	128	19	education	education	NOUN
cte-418	128	20	completing	complete	VERB
cte-418	128	21	professional	professional	ADJ
cte-418	128	22	practice	practice	NOUN
cte-418	128	23	in	in	ADP
cte-418	128	24	secondary	secondary	ADJ
cte-418	128	25	education	education	NOUN
cte-418	128	26	institutions	institution	NOUN
cte-418	128	27	.	.	PUNCT
cte-418	129	1	when	when	SCONJ
cte-418	129	2	using	use	VERB
cte-418	129	3	applications	application	NOUN
cte-418	129	4	,	,	PUNCT
cte-418	129	5	it	it	PRON
cte-418	129	6	is	be	AUX
cte-418	129	7	useful	useful	ADJ
cte-418	129	8	for	for	SCONJ
cte-418	129	9	a	a	DET
cte-418	129	10	student	student	NOUN
cte-418	129	11	to	to	PART
cte-418	129	12	be	be	AUX
cte-418	129	13	able	able	ADJ
cte-418	129	14	to	to	PART
cte-418	129	15	reproduce	reproduce	VERB
cte-418	129	16	the	the	DET
cte-418	129	17	construction	construction	NOUN
cte-418	129	18	in	in	ADP
cte-418	129	19	the	the	DET
cte-418	129	20	browser	browser	NOUN
cte-418	129	21	window	window	NOUN
cte-418	129	22	,	,	PUNCT
cte-418	129	23	open	open	VERB
cte-418	129	24	other	other	ADJ
cte-418	129	25	temporarily	temporarily	ADV
cte-418	129	26	hidden	hide	VERB
cte-418	129	27	drawing	drawing	NOUN
cte-418	129	28	elements	element	NOUN
cte-418	129	29	in	in	ADP
cte-418	129	30	case	case	NOUN
cte-418	129	31	of	of	ADP
cte-418	129	32	necessity	necessity	NOUN
cte-418	129	33	,	,	PUNCT
cte-418	129	34	and	and	CCONJ
cte-418	129	35	receive	receive	VERB
cte-418	129	36	text	text	NOUN
cte-418	129	37	notifications	notification	NOUN
cte-418	129	38	.	.	PUNCT
cte-418	130	1	however	however	ADV
cte-418	130	2	,	,	PUNCT
cte-418	130	3	a	a	DET
cte-418	130	4	considerable	considerable	ADJ
cte-418	130	5	number	number	NOUN
cte-418	130	6	of	of	ADP
cte-418	130	7	constructions	construction	NOUN
cte-418	130	8	should	should	AUX
cte-418	130	9	be	be	AUX
cte-418	130	10	created	create	VERB
cte-418	130	11	later	later	ADV
cte-418	130	12	or	or	CCONJ
cte-418	130	13	simultaneously	simultaneously	ADV
cte-418	130	14	with	with	ADP
cte-418	130	15	the	the	DET
cte-418	130	16	viewing	viewing	NOUN
cte-418	130	17	via	via	ADP
cte-418	130	18	the	the	DET
cte-418	130	19	mobile	mobile	ADJ
cte-418	130	20	application	application	NOUN
cte-418	130	21	.	.	PUNCT
cte-418	131	1	consider	consider	VERB
cte-418	131	2	the	the	DET
cte-418	131	3	peculiarities	peculiarity	NOUN
cte-418	131	4	of	of	ADP
cte-418	131	5	the	the	DET
cte-418	131	6	implementation	implementation	NOUN
cte-418	131	7	of	of	ADP
cte-418	131	8	specific	specific	ADJ
cte-418	131	9	constructions	construction	NOUN
cte-418	131	10	and	and	CCONJ
cte-418	131	11	provide	provide	VERB
cte-418	131	12	recommendations	recommendation	NOUN
cte-418	131	13	concerning	concern	VERB
cte-418	131	14	their	their	PRON
cte-418	131	15	use	use	NOUN
cte-418	131	16	.	.	PUNCT
cte-418	132	1	one	one	NUM
cte-418	132	2	of	of	ADP
cte-418	132	3	the	the	DET
cte-418	132	4	main	main	ADJ
cte-418	132	5	issues	issue	NOUN
cte-418	132	6	that	that	PRON
cte-418	132	7	school	school	NOUN
cte-418	132	8	students	student	NOUN
cte-418	132	9	and	and	CCONJ
cte-418	132	10	students	student	NOUN
cte-418	132	11	of	of	ADP
cte-418	132	12	higher	high	ADJ
cte-418	132	13	education	education	NOUN
cte-418	132	14	establishments	establishment	NOUN
cte-418	132	15	face	face	VERB
cte-418	132	16	is	be	AUX
cte-418	132	17	the	the	DET
cte-418	132	18	recognition	recognition	NOUN
cte-418	132	19	of	of	ADP
cte-418	132	20	a	a	DET
cte-418	132	21	2d	2d	NOUN
cte-418	132	22	drawing	drawing	NOUN
cte-418	132	23	representing	represent	VERB
cte-418	132	24	the	the	DET
cte-418	132	25	image	image	NOUN
cte-418	132	26	of	of	ADP
cte-418	132	27	a	a	DET
cte-418	132	28	3d	3d	NUM
cte-418	132	29	shapes	shape	NOUN
cte-418	132	30	.	.	PUNCT
cte-418	133	1	in	in	ADP
cte-418	133	2	order	order	NOUN
cte-418	133	3	to	to	PART
cte-418	133	4	develop	develop	VERB
cte-418	133	5	the	the	DET
cte-418	133	6	spatial	spatial	ADJ
cte-418	133	7	imagination	imagination	NOUN
cte-418	133	8	of	of	ADP
cte-418	133	9	students	student	NOUN
cte-418	133	10	at	at	ADP
cte-418	133	11	schools	school	NOUN
cte-418	133	12	and	and	CCONJ
cte-418	133	13	universities	university	NOUN
cte-418	133	14	it	it	PRON
cte-418	133	15	is	be	AUX
cte-418	133	16	necessary	necessary	ADJ
cte-418	133	17	to	to	PART
cte-418	133	18	provide	provide	VERB
cte-418	133	19	them	they	PRON
cte-418	133	20	with	with	ADP
cte-418	133	21	the	the	DET
cte-418	133	22	assignments	assignment	NOUN
cte-418	133	23	on	on	ADP
cte-418	133	24	constructing	construct	VERB
cte-418	133	25	sections	section	NOUN
cte-418	133	26	of	of	ADP
cte-418	133	27	polyhedron	polyhedron	NOUN
cte-418	133	28	by	by	ADP
cte-418	133	29	planes	plane	NOUN
cte-418	133	30	.	.	PUNCT
cte-418	134	1	4.2	4.2	NUM
cte-418	134	2	construction	construction	NOUN
cte-418	134	3	of	of	ADP
cte-418	134	4	sections	section	NOUN
cte-418	134	5	of	of	ADP
cte-418	134	6	polyhedron	polyhedron	NOUN
cte-418	134	7	with	with	ADP
cte-418	134	8	plane	plane	NOUN
cte-418	134	9	via	via	ADP
cte-418	134	10	the	the	DET
cte-418	134	11	applications	application	NOUN
cte-418	134	12	geogebra	geogebra	NOUN
cte-418	134	13	geometry	geometry	NOUN
cte-418	134	14	and	and	CCONJ
cte-418	134	15	3d	3d	NUM
cte-418	134	16	graphics	graphic	NOUN
cte-418	134	17	consider	consider	VERB
cte-418	134	18	examples	example	NOUN
cte-418	134	19	of	of	ADP
cte-418	134	20	problems	problem	NOUN
cte-418	134	21	for	for	ADP
cte-418	134	22	constructing	construct	VERB
cte-418	134	23	a	a	DET
cte-418	134	24	section	section	NOUN
cte-418	134	25	of	of	ADP
cte-418	134	26	a	a	DET
cte-418	134	27	polyhedron	polyhedron	NOUN
cte-418	134	28	with	with	ADP
cte-418	134	29	a	a	DET
cte-418	134	30	plane	plane	NOUN
cte-418	134	31	passing	pass	VERB
cte-418	134	32	through	through	ADP
cte-418	134	33	three	three	NUM
cte-418	134	34	given	give	VERB
cte-418	134	35	points	point	NOUN
cte-418	134	36	that	that	PRON
cte-418	134	37	are	be	AUX
cte-418	134	38	not	not	PART
cte-418	134	39	on	on	ADP
cte-418	134	40	the	the	DET
cte-418	134	41	same	same	ADJ
cte-418	134	42	line	line	NOUN
cte-418	134	43	;	;	PUNCT
cte-418	134	44	through	through	ADP
cte-418	134	45	a	a	DET
cte-418	134	46	straight	straight	ADJ
cte-418	134	47	line	line	NOUN
cte-418	134	48	and	and	CCONJ
cte-418	134	49	a	a	DET
cte-418	134	50	point	point	NOUN
cte-418	134	51	that	that	PRON
cte-418	134	52	does	do	AUX
cte-418	134	53	not	not	PART
cte-418	134	54	belong	belong	VERB
cte-418	134	55	to	to	ADP
cte-418	134	56	it	it	PRON
cte-418	134	57	etc	etc	X
cte-418	134	58	.	.	PUNCT
cte-418	135	1	it	it	PRON
cte-418	135	2	is	be	AUX
cte-418	135	3	necessary	necessary	ADJ
cte-418	135	4	to	to	PART
cte-418	135	5	construct	construct	VERB
cte-418	135	6	a	a	DET
cte-418	135	7	linear	linear	ADJ
cte-418	135	8	angle	angle	NOUN
cte-418	135	9	of	of	ADP
cte-418	135	10	a	a	DET
cte-418	135	11	dihedral	dihedral	ADJ
cte-418	135	12	angle	angle	NOUN
cte-418	135	13	and	and	CCONJ
cte-418	135	14	measure	measure	VERB
cte-418	135	15	them	they	PRON
cte-418	135	16	;	;	PUNCT
cte-418	135	17	the	the	DET
cte-418	135	18	angle	angle	NOUN
cte-418	135	19	between	between	ADP
cte-418	135	20	the	the	DET
cte-418	135	21	straight	straight	ADJ
cte-418	135	22	line	line	NOUN
cte-418	135	23	and	and	CCONJ
cte-418	135	24	the	the	DET
cte-418	135	25	plane	plane	NOUN
cte-418	135	26	.	.	PUNCT
cte-418	136	1	look	look	VERB
cte-418	136	2	into	into	ADP
cte-418	136	3	what	what	PRON
cte-418	136	4	four	four	NUM
cte-418	136	5	approaches	approach	NOUN
cte-418	136	6	to	to	ADP
cte-418	136	7	constructing	construct	VERB
cte-418	136	8	a	a	DET
cte-418	136	9	section	section	NOUN
cte-418	136	10	of	of	ADP
cte-418	136	11	a	a	DET
cte-418	136	12	polyhedron	polyhedron	NOUN
cte-418	136	13	in	in	ADP
cte-418	136	14	a	a	DET
cte-418	136	15	plane	plane	NOUN
cte-418	136	16	which	which	PRON
cte-418	136	17	should	should	AUX
cte-418	136	18	be	be	AUX
cte-418	136	19	distinguished	distinguish	VERB
cte-418	136	20	by	by	ADP
cte-418	136	21	a	a	DET
cte-418	136	22	teacher	teacher	NOUN
cte-418	136	23	in	in	ADP
cte-418	136	24	order	order	NOUN
cte-418	136	25	to	to	PART
cte-418	136	26	be	be	AUX
cte-418	136	27	able	able	ADJ
cte-418	136	28	to	to	PART
cte-418	136	29	provide	provide	VERB
cte-418	136	30	their	their	PRON
cte-418	136	31	students	student	NOUN
cte-418	136	32	with	with	ADP
cte-418	136	33	the	the	DET
cte-418	136	34	most	most	ADV
cte-418	136	35	appropriate	appropriate	ADJ
cte-418	136	36	one	one	NUM
cte-418	136	37	for	for	ADP
cte-418	136	38	their	their	PRON
cte-418	136	39	educational	educational	ADJ
cte-418	136	40	trajectory	trajectory	NOUN
cte-418	136	41	.	.	PUNCT
cte-418	137	1	if	if	SCONJ
cte-418	137	2	a	a	DET
cte-418	137	3	student	student	NOUN
cte-418	137	4	has	have	AUX
cte-418	137	5	not	not	PART
cte-418	137	6	fully	fully	ADV
cte-418	137	7	mastered	master	VERB
cte-418	137	8	geogebra	geogebra	NOUN
cte-418	137	9	tools	tool	NOUN
cte-418	137	10	,	,	PUNCT
cte-418	137	11	it	it	PRON
cte-418	137	12	is	be	AUX
cte-418	137	13	advisable	advisable	ADJ
cte-418	137	14	to	to	PART
cte-418	137	15	provide	provide	VERB
cte-418	137	16	them	they	PRON
cte-418	137	17	with	with	ADP
cte-418	137	18	a	a	DET
cte-418	137	19	sheet	sheet	NOUN
cte-418	137	20	of	of	ADP
cte-418	137	21	paper	paper	NOUN
cte-418	137	22	guiding	guide	VERB
cte-418	137	23	the	the	DET
cte-418	137	24	algorithm	algorithm	NOUN
cte-418	137	25	to	to	PART
cte-418	137	26	follow	follow	VERB
cte-418	137	27	in	in	ADP
cte-418	137	28	order	order	NOUN
cte-418	137	29	to	to	PART
cte-418	137	30	build	build	VERB
cte-418	137	31	a	a	DET
cte-418	137	32	construction	construction	NOUN
cte-418	137	33	.	.	PUNCT
cte-418	138	1	moreover	moreover	ADV
cte-418	138	2	,	,	PUNCT
cte-418	138	3	a	a	DET
cte-418	138	4	student	student	NOUN
cte-418	138	5	should	should	AUX
cte-418	138	6	be	be	AUX
cte-418	138	7	supplied	supply	VERB
cte-418	138	8	with	with	ADP
cte-418	138	9	information	information	NOUN
cte-418	138	10	regarding	regard	VERB
cte-418	138	11	the	the	DET
cte-418	138	12	icons	icon	NOUN
cte-418	138	13	that	that	PRON
cte-418	138	14	correspond	correspond	VERB
cte-418	138	15	to	to	ADP
cte-418	138	16	the	the	DET
cte-418	138	17	tools	tool	NOUN
cte-418	138	18	in	in	ADP
cte-418	138	19	question	question	NOUN
cte-418	138	20	.	.	PUNCT
cte-418	139	1	it	it	PRON
cte-418	139	2	is	be	AUX
cte-418	139	3	appropriate	appropriate	ADJ
cte-418	139	4	to	to	PART
cte-418	139	5	place	place	VERB
cte-418	139	6	qr	qr	PROPN
cte-418	139	7	codes	code	NOUN
cte-418	139	8	on	on	ADP
cte-418	139	9	printable	printable	NOUN
cte-418	139	10	worksheets	worksheet	NOUN
cte-418	139	11	for	for	ADP
cte-418	139	12	demonstrations	demonstration	NOUN
cte-418	139	13	.	.	PUNCT
cte-418	140	1	710	710	NUM
cte-418	140	2	cte	cte	NOUN
cte-418	140	3	workshop	workshop	NOUN
cte-418	140	4	proceedings	proceeding	NOUN
cte-418	140	5	,	,	PUNCT
cte-418	140	6	2020	2020	NUM
cte-418	140	7	,	,	PUNCT
cte-418	140	8	vol	vol	NOUN
cte-418	140	9	.	.	PUNCT
cte-418	140	10	7	7	NUM
cte-418	140	11	:	:	PUNCT
cte-418	140	12	cte-2019	cte-2019	NOUN
cte-418	140	13	,	,	PUNCT
cte-418	140	14	pp	pp	ADV
cte-418	140	15	.	.	PUNCT
cte-418	141	1	705	705	NUM
cte-418	141	2	-	-	SYM
cte-418	141	3	718	718	NUM
cte-418	141	4	1	1	NUM
cte-418	141	5	.	.	PUNCT
cte-418	142	1	the	the	DET
cte-418	142	2	construction	construction	NOUN
cte-418	142	3	on	on	ADP
cte-418	142	4	a	a	DET
cte-418	142	5	2d	2d	NUM
cte-418	142	6	canvas	canvas	NOUN
cte-418	142	7	is	be	AUX
cte-418	142	8	rather	rather	ADV
cte-418	142	9	cumbersome	cumbersome	ADJ
cte-418	142	10	and	and	CCONJ
cte-418	142	11	requires	require	VERB
cte-418	142	12	logically	logically	ADV
cte-418	142	13	justified	justify	VERB
cte-418	142	14	steps	step	NOUN
cte-418	142	15	for	for	ADP
cte-418	142	16	the	the	DET
cte-418	142	17	construction	construction	NOUN
cte-418	142	18	.	.	PUNCT
cte-418	143	1	at	at	ADP
cte-418	143	2	first	first	ADV
cte-418	143	3	,	,	PUNCT
cte-418	143	4	it	it	PRON
cte-418	143	5	is	be	AUX
cte-418	143	6	necessary	necessary	ADJ
cte-418	143	7	to	to	PART
cte-418	143	8	follow	follow	VERB
cte-418	143	9	step	step	NOUN
cte-418	143	10	-	-	PUNCT
cte-418	143	11	by	by	ADP
cte-418	143	12	-	-	PUNCT
cte-418	143	13	step	step	NOUN
cte-418	143	14	construction	construction	NOUN
cte-418	143	15	procedures	procedure	NOUN
cte-418	143	16	to	to	PART
cte-418	143	17	build	build	VERB
cte-418	143	18	several	several	ADJ
cte-418	143	19	drawings	drawing	NOUN
cte-418	143	20	,	,	PUNCT
cte-418	143	21	created	create	VERB
cte-418	143	22	via	via	ADP
cte-418	143	23	“	"	PUNCT
cte-418	143	24	the	the	DET
cte-418	143	25	trace	trace	NOUN
cte-418	143	26	method	method	NOUN
cte-418	143	27	”	"	PUNCT
cte-418	143	28	on	on	ADP
cte-418	143	29	a	a	DET
cte-418	143	30	2d	2d	NUM
cte-418	143	31	canvas	canvas	NOUN
cte-418	143	32	.	.	PUNCT
cte-418	144	1	to	to	PART
cte-418	144	2	intensify	intensify	VERB
cte-418	144	3	the	the	DET
cte-418	144	4	material	material	NOUN
cte-418	144	5	dissemination	dissemination	NOUN
cte-418	144	6	,	,	PUNCT
cte-418	144	7	students	student	NOUN
cte-418	144	8	may	may	AUX
cte-418	144	9	be	be	AUX
cte-418	144	10	at	at	ADP
cte-418	144	11	once	once	ADV
cte-418	144	12	provided	provide	VERB
cte-418	144	13	with	with	ADP
cte-418	144	14	a	a	DET
cte-418	144	15	constructed	constructed	ADJ
cte-418	144	16	polyhedron	polyhedron	NOUN
cte-418	144	17	.	.	PUNCT
cte-418	145	1	however	however	ADV
cte-418	145	2	,	,	PUNCT
cte-418	145	3	in	in	ADP
cte-418	145	4	the	the	DET
cte-418	145	5	course	course	NOUN
cte-418	145	6	of	of	ADP
cte-418	145	7	the	the	DET
cte-418	145	8	study	study	NOUN
cte-418	145	9	,	,	PUNCT
cte-418	145	10	there	there	PRON
cte-418	145	11	were	be	VERB
cte-418	145	12	cases	case	NOUN
cte-418	145	13	when	when	SCONJ
cte-418	145	14	the	the	DET
cte-418	145	15	students	student	NOUN
cte-418	145	16	constructed	construct	VERB
cte-418	145	17	the	the	DET
cte-418	145	18	polyhedron	polyhedron	NOUN
cte-418	145	19	wrongly	wrongly	ADV
cte-418	145	20	.	.	PUNCT
cte-418	146	1	that	that	PRON
cte-418	146	2	is	be	AUX
cte-418	146	3	,	,	PUNCT
cte-418	146	4	after	after	ADP
cte-418	146	5	its	its	PRON
cte-418	146	6	construction	construction	NOUN
cte-418	146	7	on	on	ADP
cte-418	146	8	the	the	DET
cte-418	146	9	plane	plane	NOUN
cte-418	146	10	,	,	PUNCT
cte-418	146	11	they	they	PRON
cte-418	146	12	were	be	AUX
cte-418	146	13	not	not	PART
cte-418	146	14	able	able	ADJ
cte-418	146	15	to	to	PART
cte-418	146	16	change	change	VERB
cte-418	146	17	it	it	PRON
cte-418	146	18	dynamically	dynamically	ADV
cte-418	146	19	.	.	PUNCT
cte-418	147	1	for	for	ADP
cte-418	147	2	example	example	NOUN
cte-418	147	3	,	,	PUNCT
cte-418	147	4	to	to	PART
cte-418	147	5	build	build	VERB
cte-418	147	6	a	a	DET
cte-418	147	7	prism	prism	NOUN
cte-418	147	8	image	image	NOUN
cte-418	147	9	on	on	ADP
cte-418	147	10	a	a	DET
cte-418	147	11	2d	2d	NUM
cte-418	147	12	canvas	canvas	NOUN
cte-418	147	13	made	make	VERB
cte-418	147	14	of	of	ADP
cte-418	147	15	an	an	DET
cte-418	147	16	n	n	ADV
cte-418	147	17	-	-	PUNCT
cte-418	147	18	sided	sided	ADJ
cte-418	147	19	polygonal	polygonal	ADJ
cte-418	147	20	base	base	NOUN
cte-418	147	21	(	(	PUNCT
cte-418	147	22	n>3	n>3	PROPN
cte-418	147	23	)	)	PUNCT
cte-418	147	24	,	,	PUNCT
cte-418	147	25	it	it	PRON
cte-418	147	26	is	be	AUX
cte-418	147	27	necessary	necessary	ADJ
cte-418	147	28	to	to	PART
cte-418	147	29	follow	follow	VERB
cte-418	147	30	the	the	DET
cte-418	147	31	following	follow	VERB
cte-418	147	32	steps	step	NOUN
cte-418	147	33	.	.	PUNCT
cte-418	148	1	firstly	firstly	ADV
cte-418	148	2	one	one	PRON
cte-418	148	3	should	should	AUX
cte-418	148	4	build	build	VERB
cte-418	148	5	an	an	DET
cte-418	148	6	n	n	ADV
cte-418	148	7	-	-	PUNCT
cte-418	148	8	sided	sided	ADJ
cte-418	148	9	polygon	polygon	NOUN
cte-418	148	10	via	via	ADP
cte-418	148	11	the	the	DET
cte-418	148	12	use	use	NOUN
cte-418	148	13	of	of	ADP
cte-418	148	14	the	the	DET
cte-418	148	15	appropriate	appropriate	ADJ
cte-418	148	16	tool	tool	NOUN
cte-418	148	17	.	.	PUNCT
cte-418	149	1	then	then	ADV
cte-418	149	2	it	it	PRON
cte-418	149	3	is	be	AUX
cte-418	149	4	preferable	preferable	ADJ
cte-418	149	5	to	to	PART
cte-418	149	6	build	build	VERB
cte-418	149	7	a	a	DET
cte-418	149	8	vector	vector	NOUN
cte-418	149	9	along	along	ADP
cte-418	149	10	one	one	NUM
cte-418	149	11	of	of	ADP
cte-418	149	12	the	the	DET
cte-418	149	13	edges	edge	NOUN
cte-418	149	14	of	of	ADP
cte-418	149	15	the	the	DET
cte-418	149	16	prism	prism	NOUN
cte-418	149	17	.	.	PUNCT
cte-418	150	1	further	far	ADV
cte-418	150	2	,	,	PUNCT
cte-418	150	3	one	one	PRON
cte-418	150	4	should	should	AUX
cte-418	150	5	apply	apply	VERB
cte-418	150	6	a	a	DET
cte-418	150	7	parallel	parallel	ADJ
cte-418	150	8	translation	translation	NOUN
cte-418	150	9	of	of	ADP
cte-418	150	10	the	the	DET
cte-418	150	11	n	n	ADV
cte-418	150	12	-	-	PUNCT
cte-418	150	13	sided	sided	ADJ
cte-418	150	14	polygon	polygon	NOUN
cte-418	150	15	to	to	ADP
cte-418	150	16	the	the	DET
cte-418	150	17	constructed	construct	VERB
cte-418	150	18	vector	vector	NOUN
cte-418	150	19	.	.	PUNCT
cte-418	151	1	the	the	DET
cte-418	151	2	given	give	VERB
cte-418	151	3	vertexes	vertex	NOUN
cte-418	151	4	are	be	AUX
cte-418	151	5	connected	connect	VERB
cte-418	151	6	.	.	PUNCT
cte-418	152	1	such	such	DET
cte-418	152	2	a	a	DET
cte-418	152	3	construction	construction	NOUN
cte-418	152	4	is	be	AUX
cte-418	152	5	represented	represent	VERB
cte-418	152	6	taking	take	VERB
cte-418	152	7	into	into	ADP
cte-418	152	8	account	account	NOUN
cte-418	152	9	the	the	DET
cte-418	152	10	properties	property	NOUN
cte-418	152	11	of	of	ADP
cte-418	152	12	the	the	DET
cte-418	152	13	parallel	parallel	ADJ
cte-418	152	14	projection	projection	NOUN
cte-418	152	15	.	.	PUNCT
cte-418	153	1	2	2	X
cte-418	153	2	.	.	X
cte-418	153	3	next	next	ADV
cte-418	153	4	it	it	PRON
cte-418	153	5	is	be	AUX
cte-418	153	6	necessary	necessary	ADJ
cte-418	153	7	to	to	PART
cte-418	153	8	compare	compare	VERB
cte-418	153	9	the	the	DET
cte-418	153	10	previous	previous	ADJ
cte-418	153	11	drawing	drawing	NOUN
cte-418	153	12	with	with	ADP
cte-418	153	13	the	the	DET
cte-418	153	14	one	one	NOUN
cte-418	153	15	presented	present	VERB
cte-418	153	16	according	accord	VERB
cte-418	153	17	to	to	ADP
cte-418	153	18	the	the	DET
cte-418	153	19	same	same	ADJ
cte-418	153	20	problem	problem	NOUN
cte-418	153	21	situation	situation	NOUN
cte-418	153	22	but	but	CCONJ
cte-418	153	23	on	on	ADP
cte-418	153	24	the	the	DET
cte-418	153	25	3d	3d	NUM
cte-418	153	26	canvas	canvas	NOUN
cte-418	153	27	.	.	PUNCT
cte-418	154	1	in	in	ADP
cte-418	154	2	this	this	DET
cte-418	154	3	case	case	NOUN
cte-418	154	4	,	,	PUNCT
cte-418	154	5	all	all	DET
cte-418	154	6	straight	straight	ADJ
cte-418	154	7	lines	line	NOUN
cte-418	154	8	for	for	ADP
cte-418	154	9	the	the	DET
cte-418	154	10	construction	construction	NOUN
cte-418	154	11	of	of	ADP
cte-418	154	12	the	the	DET
cte-418	154	13	section	section	NOUN
cte-418	154	14	can	can	AUX
cte-418	154	15	be	be	AUX
cte-418	154	16	presented	present	VERB
cte-418	154	17	step	step	NOUN
cte-418	154	18	by	by	ADP
cte-418	154	19	step	step	NOUN
cte-418	154	20	.	.	PUNCT
cte-418	155	1	the	the	DET
cte-418	155	2	advantages	advantage	NOUN
cte-418	155	3	of	of	ADP
cte-418	155	4	such	such	DET
cte-418	155	5	a	a	DET
cte-418	155	6	construction	construction	NOUN
cte-418	155	7	include	include	VERB
cte-418	155	8	the	the	DET
cte-418	155	9	possibility	possibility	NOUN
cte-418	155	10	to	to	PART
cte-418	155	11	change	change	VERB
cte-418	155	12	the	the	DET
cte-418	155	13	constructed	constructed	ADJ
cte-418	155	14	polyhedron	polyhedron	NOUN
cte-418	155	15	dynamically	dynamically	ADV
cte-418	155	16	and	and	CCONJ
cte-418	155	17	the	the	DET
cte-418	155	18	location	location	NOUN
cte-418	155	19	of	of	ADP
cte-418	155	20	points	point	NOUN
cte-418	155	21	which	which	PRON
cte-418	155	22	the	the	DET
cte-418	155	23	secant	secant	ADJ
cte-418	155	24	plane	plane	NOUN
cte-418	155	25	passes	pass	VERB
cte-418	155	26	through	through	ADP
cte-418	155	27	.	.	PUNCT
cte-418	156	1	via	via	ADP
cte-418	156	2	the	the	DET
cte-418	156	3	geogebra	geogebra	NOUN
cte-418	156	4	3d	3d	NOUN
cte-418	156	5	geometry	geometry	NOUN
cte-418	156	6	[	[	X
cte-418	156	7	8	8	NUM
cte-418	156	8	]	]	X
cte-418	156	9	app	app	X
cte-418	156	10	,	,	PUNCT
cte-418	156	11	one	one	PRON
cte-418	156	12	can	can	AUX
cte-418	156	13	simulate	simulate	VERB
cte-418	156	14	external	external	ADJ
cte-418	156	15	actions	action	NOUN
cte-418	156	16	aimed	aim	VERB
cte-418	156	17	at	at	ADP
cte-418	156	18	geometrical	geometrical	ADJ
cte-418	156	19	solid	solid	ADJ
cte-418	156	20	shapes	shape	NOUN
cte-418	156	21	which	which	PRON
cte-418	156	22	are	be	AUX
cte-418	156	23	necessary	necessary	ADJ
cte-418	156	24	for	for	SCONJ
cte-418	156	25	a	a	DET
cte-418	156	26	student	student	NOUN
cte-418	156	27	to	to	PART
cte-418	156	28	be	be	AUX
cte-418	156	29	able	able	ADJ
cte-418	156	30	to	to	PART
cte-418	156	31	apply	apply	VERB
cte-418	156	32	internal	internal	ADJ
cte-418	156	33	thinking	thinking	NOUN
cte-418	156	34	regarding	regard	VERB
cte-418	156	35	them	they	PRON
cte-418	156	36	and	and	CCONJ
cte-418	156	37	as	as	ADP
cte-418	156	38	a	a	DET
cte-418	156	39	result	result	NOUN
cte-418	156	40	develop	develop	VERB
cte-418	156	41	spatial	spatial	ADJ
cte-418	156	42	thinking	thinking	NOUN
cte-418	156	43	.	.	PUNCT
cte-418	157	1	in	in	ADP
cte-418	157	2	our	our	PRON
cte-418	157	3	opinion	opinion	NOUN
cte-418	157	4	,	,	PUNCT
cte-418	157	5	this	this	DET
cte-418	157	6	approach	approach	NOUN
cte-418	157	7	is	be	AUX
cte-418	157	8	the	the	DET
cte-418	157	9	most	most	ADV
cte-418	157	10	appropriate	appropriate	ADJ
cte-418	157	11	for	for	ADP
cte-418	157	12	the	the	DET
cte-418	157	13	development	development	NOUN
cte-418	157	14	of	of	ADP
cte-418	157	15	students	student	NOUN
cte-418	157	16	’	'	PUNCT
cte-418	157	17	spatial	spatial	ADJ
cte-418	157	18	imagination	imagination	NOUN
cte-418	157	19	,	,	PUNCT
cte-418	157	20	logical	logical	ADJ
cte-418	157	21	thinking	thinking	NOUN
cte-418	157	22	.	.	PUNCT
cte-418	158	1	in	in	ADP
cte-418	158	2	fig	fig	NOUN
cte-418	158	3	.	.	PUNCT
cte-418	159	1	1	1	NUM
cte-418	159	2	the	the	DET
cte-418	159	3	construction	construction	NOUN
cte-418	159	4	of	of	ADP
cte-418	159	5	the	the	DET
cte-418	159	6	section	section	NOUN
cte-418	159	7	of	of	ADP
cte-418	159	8	the	the	DET
cte-418	159	9	pyramid	pyramid	NOUN
cte-418	159	10	with	with	ADP
cte-418	159	11	a	a	DET
cte-418	159	12	secant	secant	ADJ
cte-418	159	13	plane	plane	NOUN
cte-418	159	14	which	which	PRON
cte-418	159	15	passes	pass	VERB
cte-418	159	16	through	through	ADP
cte-418	159	17	the	the	DET
cte-418	159	18	point	point	NOUN
cte-418	159	19	on	on	ADP
cte-418	159	20	the	the	DET
cte-418	159	21	lateral	lateral	ADJ
cte-418	159	22	edge	edge	NOUN
cte-418	159	23	and	and	CCONJ
cte-418	159	24	a	a	DET
cte-418	159	25	straight	straight	ADJ
cte-418	159	26	line	line	NOUN
cte-418	159	27	drawn	draw	VERB
cte-418	159	28	in	in	ADP
cte-418	159	29	the	the	DET
cte-418	159	30	plane	plane	NOUN
cte-418	159	31	of	of	ADP
cte-418	159	32	the	the	DET
cte-418	159	33	base	base	NOUN
cte-418	159	34	is	be	AUX
cte-418	159	35	presented	present	VERB
cte-418	159	36	.	.	PUNCT
cte-418	160	1	fig	fig	NOUN
cte-418	160	2	.	.	PUNCT
cte-418	161	1	1	1	X
cte-418	161	2	.	.	X
cte-418	162	1	construction	construction	NOUN
cte-418	162	2	of	of	ADP
cte-418	162	3	a	a	DET
cte-418	162	4	section	section	NOUN
cte-418	162	5	of	of	ADP
cte-418	162	6	the	the	DET
cte-418	162	7	pyramid	pyramid	NOUN
cte-418	162	8	with	with	ADP
cte-418	162	9	a	a	DET
cte-418	162	10	plane	plane	NOUN
cte-418	162	11	.	.	PUNCT
cte-418	163	1	3	3	X
cte-418	163	2	.	.	X
cte-418	163	3	the	the	DET
cte-418	163	4	third	third	ADJ
cte-418	163	5	option	option	NOUN
cte-418	163	6	for	for	ADP
cte-418	163	7	constructing	construct	VERB
cte-418	163	8	a	a	DET
cte-418	163	9	section	section	NOUN
cte-418	163	10	on	on	ADP
cte-418	163	11	the	the	DET
cte-418	163	12	3d	3d	PROPN
cte-418	163	13	canvas	canvas	NOUN
cte-418	163	14	.	.	PUNCT
cte-418	164	1	firstly	firstly	ADV
cte-418	164	2	,	,	PUNCT
cte-418	164	3	a	a	DET
cte-418	164	4	polyhedron	polyhedron	NOUN
cte-418	164	5	,	,	PUNCT
cte-418	164	6	and	and	CCONJ
cte-418	164	7	a	a	DET
cte-418	164	8	secant	secant	ADJ
cte-418	164	9	plane	plane	NOUN
cte-418	164	10	should	should	AUX
cte-418	164	11	be	be	AUX
cte-418	164	12	built	build	VERB
cte-418	164	13	,	,	PUNCT
cte-418	164	14	and	and	CCONJ
cte-418	164	15	then	then	ADV
cte-418	164	16	the	the	DET
cte-418	164	17	tool	tool	NOUN
cte-418	164	18	“	"	PUNCT
cte-418	164	19	intersection	intersection	NOUN
cte-418	164	20	of	of	ADP
cte-418	164	21	two	two	NUM
cte-418	164	22	surfaces	surface	NOUN
cte-418	164	23	”	"	PUNCT
cte-418	164	24	should	should	AUX
cte-418	164	25	be	be	AUX
cte-418	164	26	applied	apply	VERB
cte-418	164	27	.	.	PUNCT
cte-418	165	1	a	a	DET
cte-418	165	2	student	student	NOUN
cte-418	165	3	,	,	PUNCT
cte-418	165	4	by	by	ADP
cte-418	165	5	“	"	PUNCT
cte-418	165	6	turning	turn	VERB
cte-418	165	7	”	"	PUNCT
cte-418	165	8	the	the	DET
cte-418	165	9	polyhedron	polyhedron	NOUN
cte-418	165	10	,	,	PUNCT
cte-418	165	11	will	will	AUX
cte-418	165	12	have	have	VERB
cte-418	165	13	an	an	DET
cte-418	165	14	opportunity	opportunity	NOUN
cte-418	165	15	cte	cte	NOUN
cte-418	165	16	workshop	workshop	NOUN
cte-418	165	17	proceedings	proceeding	NOUN
cte-418	165	18	,	,	PUNCT
cte-418	165	19	2020	2020	NUM
cte-418	165	20	,	,	PUNCT
cte-418	165	21	vol	vol	NOUN
cte-418	165	22	.	.	PUNCT
cte-418	165	23	7	7	NUM
cte-418	165	24	:	:	PUNCT
cte-418	165	25	cte-2019	cte-2019	NOUN
cte-418	165	26	,	,	PUNCT
cte-418	165	27	pp	pp	ADV
cte-418	165	28	.	.	PUNCT
cte-418	166	1	705	705	NUM
cte-418	166	2	-	-	SYM
cte-418	166	3	718	718	NUM
cte-418	166	4	711	711	NUM
cte-418	166	5	for	for	ADP
cte-418	166	6	the	the	DET
cte-418	166	7	better	well	ADJ
cte-418	166	8	perception	perception	NOUN
cte-418	166	9	and	and	CCONJ
cte-418	166	10	understanding	understanding	NOUN
cte-418	166	11	of	of	ADP
cte-418	166	12	the	the	DET
cte-418	166	13	construction	construction	NOUN
cte-418	166	14	.	.	PUNCT
cte-418	167	1	the	the	DET
cte-418	167	2	approach	approach	NOUN
cte-418	167	3	in	in	ADP
cte-418	167	4	question	question	NOUN
cte-418	167	5	is	be	AUX
cte-418	167	6	appropriate	appropriate	ADJ
cte-418	167	7	when	when	SCONJ
cte-418	167	8	augmented	augment	VERB
cte-418	167	9	reality	reality	NOUN
cte-418	167	10	tools	tool	NOUN
cte-418	167	11	are	be	AUX
cte-418	167	12	used	use	VERB
cte-418	167	13	enabling	enable	VERB
cte-418	167	14	to	to	PART
cte-418	167	15	align	align	VERB
cte-418	167	16	the	the	DET
cte-418	167	17	drawings	drawing	NOUN
cte-418	167	18	with	with	ADP
cte-418	167	19	the	the	DET
cte-418	167	20	image	image	NOUN
cte-418	167	21	of	of	ADP
cte-418	167	22	a	a	DET
cte-418	167	23	real	real	ADJ
cte-418	167	24	object	object	NOUN
cte-418	167	25	[	[	X
cte-418	167	26	13	13	NUM
cte-418	167	27	]	]	PUNCT
cte-418	167	28	.	.	PUNCT
cte-418	168	1	it	it	PRON
cte-418	168	2	is	be	AUX
cte-418	168	3	advisable	advisable	ADJ
cte-418	168	4	to	to	PART
cte-418	168	5	encourage	encourage	VERB
cte-418	168	6	students	student	NOUN
cte-418	168	7	to	to	PART
cte-418	168	8	find	find	VERB
cte-418	168	9	examples	example	NOUN
cte-418	168	10	of	of	ADP
cte-418	168	11	such	such	ADJ
cte-418	168	12	sections	section	NOUN
cte-418	168	13	among	among	ADP
cte-418	168	14	the	the	DET
cte-418	168	15	surrounding	surround	VERB
cte-418	168	16	objects	object	NOUN
cte-418	168	17	,	,	PUNCT
cte-418	168	18	in	in	ADP
cte-418	168	19	architecture	architecture	NOUN
cte-418	168	20	etc	etc	X
cte-418	168	21	.	.	X
cte-418	169	1	4.the	4.the	DET
cte-418	169	2	use	use	NOUN
cte-418	169	3	of	of	ADP
cte-418	169	4	both	both	PRON
cte-418	169	5	2d	2d	NOUN
cte-418	169	6	and	and	CCONJ
cte-418	169	7	3d	3d	NUM
cte-418	169	8	canvases	canvas	NOUN
cte-418	169	9	simultaneously	simultaneously	ADV
cte-418	169	10	.	.	PUNCT
cte-418	170	1	such	such	DET
cte-418	170	2	a	a	DET
cte-418	170	3	combination	combination	NOUN
cte-418	170	4	is	be	AUX
cte-418	170	5	advisable	advisable	ADJ
cte-418	170	6	if	if	SCONJ
cte-418	170	7	there	there	PRON
cte-418	170	8	is	be	VERB
cte-418	170	9	some	some	DET
cte-418	170	10	kind	kind	NOUN
cte-418	170	11	of	of	ADP
cte-418	170	12	difficulty	difficulty	NOUN
cte-418	170	13	in	in	ADP
cte-418	170	14	constructing	construct	VERB
cte-418	170	15	a	a	DET
cte-418	170	16	polygon	polygon	NOUN
cte-418	170	17	that	that	PRON
cte-418	170	18	is	be	AUX
cte-418	170	19	for	for	ADP
cte-418	170	20	a	a	DET
cte-418	170	21	base	base	NOUN
cte-418	170	22	of	of	ADP
cte-418	170	23	the	the	DET
cte-418	170	24	pyramid	pyramid	NOUN
cte-418	170	25	or	or	CCONJ
cte-418	170	26	specifying	specify	VERB
cte-418	170	27	the	the	DET
cte-418	170	28	position	position	NOUN
cte-418	170	29	of	of	ADP
cte-418	170	30	the	the	DET
cte-418	170	31	vertex	vertex	NOUN
cte-418	170	32	of	of	ADP
cte-418	170	33	the	the	DET
cte-418	170	34	pyramid	pyramid	NOUN
cte-418	170	35	,	,	PUNCT
cte-418	170	36	etc	etc	X
cte-418	170	37	.	.	X
cte-418	171	1	for	for	ADP
cte-418	171	2	instance	instance	NOUN
cte-418	171	3	,	,	PUNCT
cte-418	171	4	if	if	SCONJ
cte-418	171	5	a	a	DET
cte-418	171	6	trapezoid	trapezoid	NOUN
cte-418	171	7	,	,	PUNCT
cte-418	171	8	in	in	ADP
cte-418	171	9	particular	particular	ADJ
cte-418	171	10	,	,	PUNCT
cte-418	171	11	a	a	DET
cte-418	171	12	rectangular	rectangular	ADJ
cte-418	171	13	or	or	CCONJ
cte-418	171	14	equilateral	equilateral	ADJ
cte-418	171	15	one	one	NUM
cte-418	171	16	,	,	PUNCT
cte-418	171	17	is	be	AUX
cte-418	171	18	for	for	ADP
cte-418	171	19	a	a	DET
cte-418	171	20	base	base	NOUN
cte-418	171	21	of	of	ADP
cte-418	171	22	the	the	DET
cte-418	171	23	pyramid	pyramid	NOUN
cte-418	171	24	or	or	CCONJ
cte-418	171	25	prism	prism	NOUN
cte-418	171	26	.	.	PUNCT
cte-418	172	1	or	or	CCONJ
cte-418	172	2	,	,	PUNCT
cte-418	172	3	for	for	ADP
cte-418	172	4	example	example	NOUN
cte-418	172	5	,	,	PUNCT
cte-418	172	6	the	the	DET
cte-418	172	7	vertex	vertex	NOUN
cte-418	172	8	of	of	ADP
cte-418	172	9	a	a	DET
cte-418	172	10	pyramid	pyramid	NOUN
cte-418	172	11	is	be	AUX
cte-418	172	12	projected	project	VERB
cte-418	172	13	into	into	ADP
cte-418	172	14	one	one	NUM
cte-418	172	15	of	of	ADP
cte-418	172	16	the	the	DET
cte-418	172	17	top	top	NOUN
cte-418	172	18	of	of	ADP
cte-418	172	19	the	the	DET
cte-418	172	20	base	base	NOUN
cte-418	172	21	or	or	CCONJ
cte-418	172	22	to	to	ADP
cte-418	172	23	the	the	DET
cte-418	172	24	side	side	NOUN
cte-418	172	25	of	of	ADP
cte-418	172	26	the	the	DET
cte-418	172	27	base	base	NOUN
cte-418	172	28	(	(	PUNCT
cte-418	172	29	see	see	VERB
cte-418	172	30	fig	fig	NOUN
cte-418	172	31	.	.	PUNCT
cte-418	173	1	2	2	NUM
cte-418	173	2	)	)	PUNCT
cte-418	173	3	.	.	PUNCT
cte-418	174	1	fig	fig	NOUN
cte-418	174	2	.	.	PUNCT
cte-418	175	1	2	2	X
cte-418	175	2	.	.	X
cte-418	175	3	pyramid	pyramid	NOUN
cte-418	175	4	,	,	PUNCT
cte-418	175	5	two	two	NUM
cte-418	175	6	faces	face	NOUN
cte-418	175	7	of	of	ADP
cte-418	175	8	which	which	PRON
cte-418	175	9	are	be	AUX
cte-418	175	10	perpendicular	perpendicular	ADJ
cte-418	175	11	to	to	ADP
cte-418	175	12	the	the	DET
cte-418	175	13	plane	plane	NOUN
cte-418	175	14	of	of	ADP
cte-418	175	15	the	the	DET
cte-418	175	16	base	base	NOUN
cte-418	175	17	.	.	PUNCT
cte-418	176	1	it	it	PRON
cte-418	176	2	is	be	AUX
cte-418	176	3	worth	worth	ADJ
cte-418	176	4	pointing	point	VERB
cte-418	176	5	out	out	ADP
cte-418	176	6	that	that	SCONJ
cte-418	176	7	such	such	ADJ
cte-418	176	8	constructions	construction	NOUN
cte-418	176	9	can	can	AUX
cte-418	176	10	only	only	ADV
cte-418	176	11	be	be	AUX
cte-418	176	12	built	build	VERB
cte-418	176	13	in	in	ADP
cte-418	176	14	the	the	DET
cte-418	176	15	classic	classic	ADJ
cte-418	176	16	version	version	NOUN
cte-418	176	17	of	of	ADP
cte-418	176	18	geogebra	geogebra	NOUN
cte-418	176	19	,	,	PUNCT
cte-418	176	20	and	and	CCONJ
cte-418	176	21	the	the	DET
cte-418	176	22	construction	construction	NOUN
cte-418	176	23	preview	preview	NOUN
cte-418	176	24	may	may	AUX
cte-418	176	25	also	also	ADV
cte-418	176	26	be	be	AUX
cte-418	176	27	available	available	ADJ
cte-418	176	28	via	via	ADP
cte-418	176	29	mid	mid	ADV
cte-418	176	30	after	after	ADP
cte-418	176	31	uploading	upload	VERB
cte-418	176	32	the	the	DET
cte-418	176	33	file	file	NOUN
cte-418	176	34	to	to	ADP
cte-418	176	35	the	the	DET
cte-418	176	36	geogebra	geogebra	NOUN
cte-418	176	37	cloud	cloud	NOUN
cte-418	176	38	repository	repository	NOUN
cte-418	176	39	.	.	PUNCT
cte-418	177	1	4.3	4.3	NUM
cte-418	177	2	the	the	DET
cte-418	177	3	peculiarities	peculiarity	NOUN
cte-418	177	4	of	of	ADP
cte-418	177	5	the	the	DET
cte-418	177	6	definition	definition	NOUN
cte-418	177	7	and	and	CCONJ
cte-418	177	8	angle	angle	NOUN
cte-418	177	9	construction	construction	NOUN
cte-418	177	10	between	between	ADP
cte-418	177	11	planes	plane	NOUN
cte-418	177	12	and	and	CCONJ
cte-418	177	13	linear	linear	ADJ
cte-418	177	14	angle	angle	NOUN
cte-418	177	15	of	of	ADP
cte-418	177	16	the	the	DET
cte-418	177	17	dihedral	dihedral	ADJ
cte-418	177	18	angle	angle	NOUN
cte-418	177	19	via	via	ADP
cte-418	177	20	the	the	DET
cte-418	177	21	assistant	assistant	NOUN
cte-418	177	22	of	of	ADP
cte-418	177	23	geogebra	geogebra	NOUN
cte-418	177	24	(	(	PUNCT
cte-418	177	25	3d	3d	NUM
cte-418	177	26	canvas	canvas	NOUN
cte-418	177	27	)	)	PUNCT
cte-418	177	28	it	it	PRON
cte-418	177	29	is	be	AUX
cte-418	177	30	possible	possible	ADJ
cte-418	177	31	to	to	PART
cte-418	177	32	build	build	VERB
cte-418	177	33	the	the	DET
cte-418	177	34	base	base	NOUN
cte-418	177	35	of	of	ADP
cte-418	177	36	the	the	DET
cte-418	177	37	pyramid	pyramid	NOUN
cte-418	177	38	(	(	PUNCT
cte-418	177	39	oxy	oxy	PROPN
cte-418	177	40	)	)	PUNCT
cte-418	177	41	on	on	ADP
cte-418	177	42	the	the	DET
cte-418	177	43	canvas	canvas	NOUN
cte-418	177	44	,	,	PUNCT
cte-418	177	45	and	and	CCONJ
cte-418	177	46	in	in	ADP
cte-418	177	47	the	the	DET
cte-418	177	48	process	process	NOUN
cte-418	177	49	the	the	DET
cte-418	177	50	constructions	construction	NOUN
cte-418	177	51	can	can	AUX
cte-418	177	52	be	be	AUX
cte-418	177	53	synchronously	synchronously	ADV
cte-418	177	54	displayed	display	VERB
cte-418	177	55	on	on	ADP
cte-418	177	56	the	the	DET
cte-418	177	57	3d	3d	PROPN
cte-418	177	58	canvas	canvas	NOUN
cte-418	177	59	(	(	PUNCT
cte-418	177	60	see	see	VERB
cte-418	177	61	fig	fig	NOUN
cte-418	177	62	.	.	PUNCT
cte-418	178	1	2	2	NUM
cte-418	178	2	,	,	PUNCT
cte-418	178	3	fig	fig	NOUN
cte-418	178	4	.	.	PUNCT
cte-418	179	1	3	3	NUM
cte-418	179	2	)	)	PUNCT
cte-418	179	3	.	.	PUNCT
cte-418	180	1	712	712	NUM
cte-418	180	2	cte	cte	NOUN
cte-418	180	3	workshop	workshop	NOUN
cte-418	180	4	proceedings	proceeding	NOUN
cte-418	180	5	,	,	PUNCT
cte-418	180	6	2020	2020	NUM
cte-418	180	7	,	,	PUNCT
cte-418	180	8	vol	vol	NOUN
cte-418	180	9	.	.	PUNCT
cte-418	180	10	7	7	NUM
cte-418	180	11	:	:	PUNCT
cte-418	180	12	cte-2019	cte-2019	NOUN
cte-418	180	13	,	,	PUNCT
cte-418	180	14	pp	pp	ADV
cte-418	180	15	.	.	PUNCT
cte-418	181	1	705	705	NUM
cte-418	181	2	-	-	SYM
cte-418	181	3	718	718	NUM
cte-418	181	4	fig	fig	NOUN
cte-418	181	5	.	.	PUNCT
cte-418	182	1	3	3	X
cte-418	182	2	.	.	X
cte-418	182	3	image	image	NOUN
cte-418	182	4	of	of	ADP
cte-418	182	5	the	the	DET
cte-418	182	6	pyramid	pyramid	NOUN
cte-418	182	7	and	and	CCONJ
cte-418	182	8	linear	linear	ADJ
cte-418	182	9	angles	angle	NOUN
cte-418	182	10	.	.	PUNCT
cte-418	183	1	attention	attention	NOUN
cte-418	183	2	should	should	AUX
cte-418	183	3	be	be	AUX
cte-418	183	4	drawn	draw	VERB
cte-418	183	5	to	to	ADP
cte-418	183	6	the	the	DET
cte-418	183	7	convenience	convenience	NOUN
cte-418	183	8	and	and	CCONJ
cte-418	183	9	ease	ease	NOUN
cte-418	183	10	of	of	ADP
cte-418	183	11	the	the	DET
cte-418	183	12	construction	construction	NOUN
cte-418	183	13	with	with	ADP
cte-418	183	14	the	the	DET
cte-418	183	15	help	help	NOUN
cte-418	183	16	of	of	ADP
cte-418	183	17	the	the	DET
cte-418	183	18	linear	linear	ADJ
cte-418	183	19	angle	angle	NOUN
cte-418	183	20	of	of	ADP
cte-418	183	21	the	the	DET
cte-418	183	22	dihedral	dihedral	ADJ
cte-418	183	23	angle	angle	NOUN
cte-418	183	24	at	at	ADP
cte-418	183	25	the	the	DET
cte-418	183	26	base	base	NOUN
cte-418	183	27	.	.	PUNCT
cte-418	184	1	according	accord	VERB
cte-418	184	2	to	to	ADP
cte-418	184	3	the	the	DET
cte-418	184	4	definition	definition	NOUN
cte-418	184	5	,	,	PUNCT
cte-418	184	6	to	to	PART
cte-418	184	7	determine	determine	VERB
cte-418	184	8	the	the	DET
cte-418	184	9	linear	linear	ADJ
cte-418	184	10	angle	angle	NOUN
cte-418	184	11	of	of	ADP
cte-418	184	12	the	the	DET
cte-418	184	13	dihedral	dihedral	ADJ
cte-418	184	14	angle	angle	NOUN
cte-418	184	15	at	at	ADP
cte-418	184	16	the	the	DET
cte-418	184	17	base	base	NOUN
cte-418	184	18	a	a	DET
cte-418	184	19	plane	plane	NOUN
cte-418	184	20	perpendicular	perpendicular	NOUN
cte-418	184	21	to	to	ADP
cte-418	184	22	the	the	DET
cte-418	184	23	edge	edge	NOUN
cte-418	184	24	of	of	ADP
cte-418	184	25	the	the	DET
cte-418	184	26	dihedral	dihedral	ADJ
cte-418	184	27	angle	angle	NOUN
cte-418	184	28	should	should	AUX
cte-418	184	29	be	be	AUX
cte-418	184	30	drawn	draw	VERB
cte-418	184	31	.	.	PUNCT
cte-418	185	1	then	then	ADV
cte-418	185	2	the	the	DET
cte-418	185	3	angle	angle	NOUN
cte-418	185	4	between	between	ADP
cte-418	185	5	the	the	DET
cte-418	185	6	rays	ray	NOUN
cte-418	185	7	formed	form	VERB
cte-418	185	8	as	as	ADP
cte-418	185	9	a	a	DET
cte-418	185	10	result	result	NOUN
cte-418	185	11	of	of	ADP
cte-418	185	12	the	the	DET
cte-418	185	13	intersection	intersection	NOUN
cte-418	185	14	of	of	ADP
cte-418	185	15	this	this	DET
cte-418	185	16	plane	plane	NOUN
cte-418	185	17	with	with	ADP
cte-418	185	18	the	the	DET
cte-418	185	19	edges	edge	NOUN
cte-418	185	20	of	of	ADP
cte-418	185	21	the	the	DET
cte-418	185	22	dihedral	dihedral	ADJ
cte-418	185	23	angle	angle	NOUN
cte-418	185	24	will	will	AUX
cte-418	185	25	determine	determine	VERB
cte-418	185	26	its	its	PRON
cte-418	185	27	linear	linear	ADJ
cte-418	185	28	angle	angle	NOUN
cte-418	185	29	(	(	PUNCT
cte-418	185	30	see	see	VERB
cte-418	185	31	fig	fig	NOUN
cte-418	185	32	.	.	PUNCT
cte-418	186	1	2	2	X
cte-418	186	2	)	)	PUNCT
cte-418	187	1	[	[	X
cte-418	187	2	2	2	NUM
cte-418	187	3	]	]	PUNCT
cte-418	187	4	.	.	PUNCT
cte-418	188	1	it	it	PRON
cte-418	188	2	should	should	AUX
cte-418	188	3	be	be	AUX
cte-418	188	4	stated	state	VERB
cte-418	188	5	that	that	SCONJ
cte-418	188	6	the	the	DET
cte-418	188	7	measure	measure	NOUN
cte-418	188	8	of	of	ADP
cte-418	188	9	the	the	DET
cte-418	188	10	angle	angle	NOUN
cte-418	188	11	between	between	ADP
cte-418	188	12	the	the	DET
cte-418	188	13	planes	plane	NOUN
cte-418	188	14	varies	vary	VERB
cte-418	188	15	from	from	ADP
cte-418	188	16	0˚	0˚	NUM
cte-418	188	17	to	to	ADP
cte-418	188	18	90˚.	90˚.	NUM
cte-418	188	19	while	while	SCONJ
cte-418	188	20	the	the	DET
cte-418	188	21	measure	measure	NOUN
cte-418	188	22	of	of	ADP
cte-418	188	23	the	the	DET
cte-418	188	24	dihedral	dihedral	ADJ
cte-418	188	25	angle	angle	NOUN
cte-418	188	26	can	can	AUX
cte-418	188	27	vary	vary	VERB
cte-418	188	28	from	from	ADP
cte-418	188	29	0˚	0˚	NUM
cte-418	188	30	to	to	ADP
cte-418	188	31	360˚	360˚	NUM
cte-418	188	32	[	[	X
cte-418	188	33	22	22	NUM
cte-418	188	34	]	]	PUNCT
cte-418	188	35	.	.	PUNCT
cte-418	189	1	here	here	ADV
cte-418	189	2	is	be	AUX
cte-418	189	3	an	an	DET
cte-418	189	4	example	example	NOUN
cte-418	189	5	of	of	ADP
cte-418	189	6	the	the	DET
cte-418	189	7	problem	problem	NOUN
cte-418	189	8	from	from	ADP
cte-418	189	9	the	the	DET
cte-418	189	10	textbook	textbook	NOUN
cte-418	189	11	with	with	ADP
cte-418	189	12	major	major	ADJ
cte-418	189	13	in	in	ADP
cte-418	189	14	mathematics	mathematic	NOUN
cte-418	189	15	(	(	PUNCT
cte-418	189	16	no	no	INTJ
cte-418	189	17	.	.	NOUN
cte-418	189	18	836	836	NUM
cte-418	189	19	,	,	PUNCT
cte-418	189	20	[	[	X
cte-418	189	21	2	2	NUM
cte-418	189	22	,	,	PUNCT
cte-418	189	23	p.	p.	NOUN
cte-418	189	24	162	162	NUM
cte-418	189	25	]	]	PUNCT
cte-418	189	26	)	)	PUNCT
cte-418	189	27	.	.	PUNCT
cte-418	190	1	at	at	ADP
cte-418	190	2	the	the	DET
cte-418	190	3	base	base	NOUN
cte-418	190	4	of	of	ADP
cte-418	190	5	the	the	DET
cte-418	190	6	pyramid	pyramid	NOUN
cte-418	190	7	there	there	PRON
cte-418	190	8	is	be	VERB
cte-418	190	9	an	an	DET
cte-418	190	10	isosceles	isoscele	NOUN
cte-418	190	11	triangle	triangle	NOUN
cte-418	190	12	with	with	ADP
cte-418	190	13	angle	angle	NOUN
cte-418	190	14	β	β	NOUN
cte-418	190	15	at	at	ADP
cte-418	190	16	the	the	DET
cte-418	190	17	vertex	vertex	NOUN
cte-418	190	18	and	and	CCONJ
cte-418	190	19	radius	radius	NOUN
cte-418	190	20	r	r	NOUN
cte-418	190	21	of	of	ADP
cte-418	190	22	the	the	DET
cte-418	190	23	circle	circle	NOUN
cte-418	190	24	described	describe	VERB
cte-418	190	25	.	.	PUNCT
cte-418	191	1	the	the	DET
cte-418	191	2	plane	plane	NOUN
cte-418	191	3	of	of	ADP
cte-418	191	4	each	each	DET
cte-418	191	5	face	face	NOUN
cte-418	191	6	of	of	ADP
cte-418	191	7	the	the	DET
cte-418	191	8	pyramid	pyramid	NOUN
cte-418	191	9	forms	form	VERB
cte-418	191	10	an	an	DET
cte-418	191	11	angle	angle	NOUN
cte-418	191	12	α	α	NOUN
cte-418	191	13	with	with	ADP
cte-418	191	14	the	the	DET
cte-418	191	15	plane	plane	NOUN
cte-418	191	16	of	of	ADP
cte-418	191	17	the	the	DET
cte-418	191	18	base	base	NOUN
cte-418	191	19	.	.	PUNCT
cte-418	192	1	find	find	VERB
cte-418	192	2	the	the	DET
cte-418	192	3	area	area	NOUN
cte-418	192	4	of	of	ADP
cte-418	192	5	the	the	DET
cte-418	192	6	side	side	NOUN
cte-418	192	7	surface	surface	NOUN
cte-418	192	8	.	.	PUNCT
cte-418	193	1	it	it	PRON
cte-418	193	2	is	be	AUX
cte-418	193	3	recommended	recommend	VERB
cte-418	193	4	to	to	PART
cte-418	193	5	use	use	VERB
cte-418	193	6	2d	2d	NOUN
cte-418	193	7	and	and	CCONJ
cte-418	193	8	3d	3d	NUM
cte-418	193	9	canvases	canvas	NOUN
cte-418	193	10	simultaneously	simultaneously	ADV
cte-418	193	11	to	to	PART
cte-418	193	12	represent	represent	VERB
cte-418	193	13	the	the	DET
cte-418	193	14	drawing	drawing	NOUN
cte-418	193	15	corresponding	correspond	VERB
cte-418	193	16	to	to	ADP
cte-418	193	17	the	the	DET
cte-418	193	18	set	set	VERB
cte-418	193	19	problem	problem	NOUN
cte-418	193	20	[	[	X
cte-418	193	21	14	14	NUM
cte-418	193	22	]	]	PUNCT
cte-418	193	23	.	.	PUNCT
cte-418	194	1	the	the	DET
cte-418	194	2	reason	reason	NOUN
cte-418	194	3	why	why	SCONJ
cte-418	194	4	mistakes	mistake	NOUN
cte-418	194	5	are	be	AUX
cte-418	194	6	often	often	ADV
cte-418	194	7	made	make	VERB
cte-418	194	8	is	be	AUX
cte-418	194	9	that	that	SCONJ
cte-418	194	10	only	only	ADV
cte-418	194	11	one	one	NUM
cte-418	194	12	case	case	NOUN
cte-418	194	13	is	be	AUX
cte-418	194	14	under	under	ADP
cte-418	194	15	consideration	consideration	NOUN
cte-418	194	16	.	.	PUNCT
cte-418	195	1	whereas	whereas	SCONJ
cte-418	195	2	the	the	DET
cte-418	195	3	concept	concept	NOUN
cte-418	195	4	of	of	ADP
cte-418	195	5	“	"	PUNCT
cte-418	195	6	angle	angle	NOUN
cte-418	195	7	between	between	ADP
cte-418	195	8	the	the	DET
cte-418	195	9	plane	plane	NOUN
cte-418	195	10	of	of	ADP
cte-418	195	11	the	the	DET
cte-418	195	12	lateral	lateral	ADJ
cte-418	195	13	face	face	NOUN
cte-418	195	14	and	and	CCONJ
cte-418	195	15	the	the	DET
cte-418	195	16	plane	plane	NOUN
cte-418	195	17	of	of	ADP
cte-418	195	18	the	the	DET
cte-418	195	19	base	base	NOUN
cte-418	195	20	”	"	PUNCT
cte-418	195	21	is	be	AUX
cte-418	195	22	substituted	substitute	VERB
cte-418	195	23	by	by	ADP
cte-418	195	24	“	"	PUNCT
cte-418	195	25	dihedral	dihedral	ADJ
cte-418	195	26	angle	angle	NOUN
cte-418	195	27	at	at	ADP
cte-418	195	28	the	the	DET
cte-418	195	29	base	base	NOUN
cte-418	195	30	”	"	PUNCT
cte-418	195	31	.	.	PUNCT
cte-418	196	1	if	if	SCONJ
cte-418	196	2	the	the	DET
cte-418	196	3	problem	problem	NOUN
cte-418	196	4	situation	situation	NOUN
cte-418	196	5	said	say	VERB
cte-418	196	6	that	that	SCONJ
cte-418	196	7	“	"	PUNCT
cte-418	196	8	dihedral	dihedral	ADJ
cte-418	196	9	angles	angle	NOUN
cte-418	196	10	at	at	ADP
cte-418	196	11	the	the	DET
cte-418	196	12	base	base	NOUN
cte-418	196	13	were	be	AUX
cte-418	196	14	congruent	congruent	ADJ
cte-418	196	15	”	"	PUNCT
cte-418	196	16	,	,	PUNCT
cte-418	196	17	then	then	ADV
cte-418	196	18	we	we	PRON
cte-418	196	19	would	would	AUX
cte-418	196	20	consider	consider	VERB
cte-418	196	21	the	the	DET
cte-418	196	22	pyramid	pyramid	NOUN
cte-418	196	23	the	the	DET
cte-418	196	24	vertex	vertex	NOUN
cte-418	196	25	of	of	ADP
cte-418	196	26	which	which	PRON
cte-418	196	27	is	be	AUX
cte-418	196	28	projected	project	VERB
cte-418	196	29	into	into	ADP
cte-418	196	30	the	the	DET
cte-418	196	31	center	center	NOUN
cte-418	196	32	of	of	ADP
cte-418	196	33	the	the	DET
cte-418	196	34	circle	circle	NOUN
cte-418	196	35	inscribed	inscribe	VERB
cte-418	196	36	into	into	ADP
cte-418	196	37	the	the	DET
cte-418	196	38	triangle	triangle	NOUN
cte-418	196	39	of	of	ADP
cte-418	196	40	the	the	DET
cte-418	196	41	base	base	NOUN
cte-418	196	42	(	(	PUNCT
cte-418	196	43	pyramid	pyramid	NOUN
cte-418	196	44	of	of	ADP
cte-418	196	45	type	type	NOUN
cte-418	196	46	1	1	NUM
cte-418	196	47	)	)	PUNCT
cte-418	196	48	.	.	PUNCT
cte-418	197	1	since	since	SCONJ
cte-418	197	2	it	it	PRON
cte-418	197	3	concerns	concern	VERB
cte-418	197	4	only	only	ADV
cte-418	197	5	congruent	congruent	ADJ
cte-418	197	6	angles	angle	NOUN
cte-418	197	7	between	between	ADP
cte-418	197	8	planes	plane	NOUN
cte-418	197	9	,	,	PUNCT
cte-418	197	10	the	the	DET
cte-418	197	11	problem	problem	NOUN
cte-418	197	12	will	will	AUX
cte-418	197	13	have	have	VERB
cte-418	197	14	two	two	NUM
cte-418	197	15	solutions	solution	NOUN
cte-418	197	16	.	.	PUNCT
cte-418	198	1	it	it	PRON
cte-418	198	2	is	be	AUX
cte-418	198	3	also	also	ADV
cte-418	198	4	necessary	necessary	ADJ
cte-418	198	5	to	to	PART
cte-418	198	6	take	take	VERB
cte-418	198	7	under	under	ADP
cte-418	198	8	consideration	consideration	NOUN
cte-418	198	9	the	the	DET
cte-418	198	10	case	case	NOUN
cte-418	198	11	when	when	SCONJ
cte-418	198	12	one	one	NUM
cte-418	198	13	of	of	ADP
cte-418	198	14	the	the	DET
cte-418	198	15	dihedral	dihedral	ADJ
cte-418	198	16	angles	angle	NOUN
cte-418	198	17	at	at	ADP
cte-418	198	18	the	the	DET
cte-418	198	19	edge	edge	NOUN
cte-418	198	20	of	of	ADP
cte-418	198	21	the	the	DET
cte-418	198	22	base	base	NOUN
cte-418	198	23	is	be	AUX
cte-418	198	24	obtuse	obtuse	NOUN
cte-418	198	25	(	(	PUNCT
cte-418	198	26	pyramid	pyramid	NOUN
cte-418	198	27	of	of	ADP
cte-418	198	28	type	type	NOUN
cte-418	198	29	2	2	NUM
cte-418	198	30	)	)	PUNCT
cte-418	198	31	.	.	PUNCT
cte-418	199	1	in	in	ADP
cte-418	199	2	this	this	DET
cte-418	199	3	case	case	NOUN
cte-418	199	4	,	,	PUNCT
cte-418	199	5	the	the	DET
cte-418	199	6	vertex	vertex	NOUN
cte-418	199	7	of	of	ADP
cte-418	199	8	the	the	DET
cte-418	199	9	pyramid	pyramid	NOUN
cte-418	199	10	is	be	AUX
cte-418	199	11	projected	project	VERB
cte-418	199	12	into	into	ADP
cte-418	199	13	the	the	DET
cte-418	199	14	center	center	NOUN
cte-418	199	15	of	of	ADP
cte-418	199	16	the	the	DET
cte-418	199	17	inscribed	inscribe	VERB
cte-418	199	18	circle	circle	NOUN
cte-418	199	19	lying	lie	VERB
cte-418	199	20	cte	cte	NOUN
cte-418	199	21	workshop	workshop	NOUN
cte-418	199	22	proceedings	proceeding	NOUN
cte-418	199	23	,	,	PUNCT
cte-418	199	24	2020	2020	NUM
cte-418	199	25	,	,	PUNCT
cte-418	199	26	vol	vol	NOUN
cte-418	199	27	.	.	PUNCT
cte-418	200	1	7	7	NUM
cte-418	200	2	:	:	PUNCT
cte-418	200	3	cte-2019	cte-2019	NOUN
cte-418	200	4	,	,	PUNCT
cte-418	200	5	pp	pp	ADV
cte-418	200	6	.	.	PUNCT
cte-418	201	1	705	705	NUM
cte-418	201	2	-	-	SYM
cte-418	201	3	718	718	NUM
cte-418	201	4	713	713	NUM
cte-418	201	5	outside	outside	ADV
cte-418	201	6	(	(	PUNCT
cte-418	201	7	see	see	VERB
cte-418	201	8	fig	fig	NOUN
cte-418	201	9	.	.	PUNCT
cte-418	202	1	3	3	NUM
cte-418	202	2	)	)	PUNCT
cte-418	202	3	.	.	PUNCT
cte-418	203	1	using	use	VERB
cte-418	203	2	the	the	DET
cte-418	203	3	problem	problem	NOUN
cte-418	203	4	mentioned	mention	VERB
cte-418	203	5	above	above	ADP
cte-418	203	6	and	and	CCONJ
cte-418	203	7	similar	similar	ADJ
cte-418	203	8	ones	one	NOUN
cte-418	203	9	we	we	PRON
cte-418	203	10	have	have	AUX
cte-418	203	11	conducted	conduct	VERB
cte-418	203	12	a	a	DET
cte-418	203	13	research	research	NOUN
cte-418	203	14	on	on	ADP
cte-418	203	15	the	the	DET
cte-418	203	16	basis	basis	NOUN
cte-418	203	17	of	of	ADP
cte-418	203	18	the	the	DET
cte-418	203	19	two	two	NUM
cte-418	203	20	11th	11th	ADJ
cte-418	203	21	grade	grade	NOUN
cte-418	203	22	classes	class	NOUN
cte-418	203	23	specialized	specialize	VERB
cte-418	203	24	in	in	ADP
cte-418	203	25	mathematics	mathematic	NOUN
cte-418	203	26	,	,	PUNCT
cte-418	203	27	and	and	CCONJ
cte-418	203	28	in	in	ADP
cte-418	203	29	particular	particular	ADJ
cte-418	203	30	with	with	ADP
cte-418	203	31	the	the	DET
cte-418	203	32	teachers	teacher	NOUN
cte-418	203	33	of	of	ADP
cte-418	203	34	mathematics	mathematics	PROPN
cte-418	203	35	svitlana	svitlana	PROPN
cte-418	203	36	shahmatova	shahmatova	PROPN
cte-418	203	37	and	and	CCONJ
cte-418	203	38	ruslan	ruslan	PROPN
cte-418	203	39	kaluhin	kaluhin	PROPN
cte-418	204	1	[	[	X
cte-418	204	2	12	12	NUM
cte-418	204	3	,	,	PUNCT
cte-418	204	4	p.	p.	NOUN
cte-418	204	5	439445	439445	NUM
cte-418	204	6	]	]	PUNCT
cte-418	204	7	.	.	PUNCT
cte-418	205	1	16	16	NUM
cte-418	205	2	students	student	NOUN
cte-418	205	3	of	of	ADP
cte-418	205	4	the	the	DET
cte-418	205	5	experimental	experimental	ADJ
cte-418	205	6	group	group	NOUN
cte-418	205	7	(	(	PUNCT
cte-418	205	8	eg	eg	NOUN
cte-418	205	9	students	student	NOUN
cte-418	205	10	)	)	PUNCT
cte-418	205	11	and	and	CCONJ
cte-418	205	12	18	18	NUM
cte-418	205	13	students	student	NOUN
cte-418	205	14	of	of	ADP
cte-418	205	15	the	the	DET
cte-418	205	16	control	control	NOUN
cte-418	205	17	group	group	NOUN
cte-418	205	18	(	(	PUNCT
cte-418	205	19	cg	cg	NOUN
cte-418	205	20	)	)	PUNCT
cte-418	205	21	have	have	AUX
cte-418	205	22	participated	participate	VERB
cte-418	205	23	in	in	ADP
cte-418	205	24	the	the	DET
cte-418	205	25	research	research	NOUN
cte-418	205	26	.	.	PUNCT
cte-418	206	1	the	the	DET
cte-418	206	2	similar	similar	ADJ
cte-418	206	3	research	research	NOUN
cte-418	206	4	has	have	AUX
cte-418	206	5	also	also	ADV
cte-418	206	6	been	be	AUX
cte-418	206	7	conducted	conduct	VERB
cte-418	206	8	at	at	ADP
cte-418	206	9	the	the	DET
cte-418	206	10	advanced	advanced	ADJ
cte-418	206	11	training	training	NOUN
cte-418	206	12	courses	course	NOUN
cte-418	206	13	among	among	ADP
cte-418	206	14	the	the	DET
cte-418	206	15	teachers	teacher	NOUN
cte-418	206	16	of	of	ADP
cte-418	206	17	mathematics	mathematics	PROPN
cte-418	206	18	in	in	ADP
cte-418	206	19	kryvyi	kryvyi	PROPN
cte-418	206	20	rih	rih	VERB
cte-418	206	21	state	state	NOUN
cte-418	206	22	pedagogical	pedagogical	ADJ
cte-418	206	23	university	university	NOUN
cte-418	206	24	(	(	PUNCT
cte-418	206	25	group	group	NOUN
cte-418	206	26	1	1	NUM
cte-418	206	27	–	–	PUNCT
cte-418	206	28	22	22	NUM
cte-418	206	29	teachers	teacher	NOUN
cte-418	206	30	,	,	PUNCT
cte-418	206	31	group	group	NOUN
cte-418	206	32	2	2	NUM
cte-418	206	33	–	–	PUNCT
cte-418	206	34	26	26	NUM
cte-418	206	35	teachers	teacher	NOUN
cte-418	206	36	)	)	PUNCT
cte-418	206	37	.	.	PUNCT
cte-418	207	1	some	some	DET
cte-418	207	2	teachers	teacher	NOUN
cte-418	207	3	among	among	ADP
cte-418	207	4	the	the	DET
cte-418	207	5	participants	participant	NOUN
cte-418	207	6	of	of	ADP
cte-418	207	7	the	the	DET
cte-418	207	8	courses	course	NOUN
cte-418	207	9	did	do	AUX
cte-418	207	10	not	not	PART
cte-418	207	11	teach	teach	VERB
cte-418	207	12	students	student	NOUN
cte-418	207	13	in	in	ADP
cte-418	207	14	high	high	ADJ
cte-418	207	15	school	school	NOUN
cte-418	207	16	that	that	PRON
cte-418	207	17	is	be	AUX
cte-418	207	18	why	why	SCONJ
cte-418	207	19	they	they	PRON
cte-418	207	20	do	do	AUX
cte-418	207	21	not	not	PART
cte-418	207	22	deal	deal	VERB
cte-418	207	23	with	with	ADP
cte-418	207	24	solving	solve	VERB
cte-418	207	25	these	these	DET
cte-418	207	26	very	very	ADJ
cte-418	207	27	problems	problem	NOUN
cte-418	207	28	in	in	ADP
cte-418	207	29	their	their	PRON
cte-418	207	30	teaching	teaching	NOUN
cte-418	207	31	.	.	PUNCT
cte-418	208	1	the	the	DET
cte-418	208	2	suggested	suggest	VERB
cte-418	208	3	questionnaire	questionnaire	NOUN
cte-418	208	4	consisted	consist	VERB
cte-418	208	5	of	of	ADP
cte-418	208	6	several	several	ADJ
cte-418	208	7	questions	question	NOUN
cte-418	208	8	and	and	CCONJ
cte-418	208	9	corresponded	correspond	VERB
cte-418	208	10	mainly	mainly	ADV
cte-418	208	11	to	to	ADP
cte-418	208	12	the	the	DET
cte-418	208	13	pyramid	pyramid	NOUN
cte-418	208	14	of	of	ADP
cte-418	208	15	type	type	NOUN
cte-418	208	16	2	2	NUM
cte-418	208	17	.	.	PUNCT
cte-418	209	1	the	the	DET
cte-418	209	2	participants	participant	NOUN
cte-418	209	3	were	be	AUX
cte-418	209	4	supposed	suppose	VERB
cte-418	209	5	to	to	PART
cte-418	209	6	deal	deal	VERB
cte-418	209	7	with	with	ADP
cte-418	209	8	the	the	DET
cte-418	209	9	questions	question	NOUN
cte-418	209	10	during	during	ADP
cte-418	209	11	the	the	DET
cte-418	209	12	problem	problem	NOUN
cte-418	209	13	solving	solve	VERB
cte-418	209	14	.	.	PUNCT
cte-418	210	1	alongside	alongside	ADP
cte-418	210	2	the	the	DET
cte-418	210	3	questionnaire	questionnaire	NOUN
cte-418	210	4	we	we	PRON
cte-418	210	5	present	present	VERB
cte-418	210	6	the	the	DET
cte-418	210	7	results	result	NOUN
cte-418	210	8	of	of	ADP
cte-418	210	9	the	the	DET
cte-418	210	10	survey	survey	NOUN
cte-418	210	11	.	.	PUNCT
cte-418	211	1	1	1	X
cte-418	211	2	.	.	X
cte-418	211	3	on	on	ADP
cte-418	211	4	reading	read	VERB
cte-418	211	5	the	the	DET
cte-418	211	6	problem	problem	NOUN
cte-418	211	7	situation	situation	NOUN
cte-418	211	8	,	,	PUNCT
cte-418	211	9	have	have	AUX
cte-418	211	10	you	you	PRON
cte-418	211	11	distinguished	distinguish	VERB
cte-418	211	12	two	two	NUM
cte-418	211	13	types	type	NOUN
cte-418	211	14	of	of	ADP
cte-418	211	15	the	the	DET
cte-418	211	16	pyramid	pyramid	NOUN
cte-418	211	17	?	?	PUNCT
cte-418	212	1	a	a	DET
cte-418	212	2	positive	positive	ADJ
cte-418	212	3	answer	answer	NOUN
cte-418	212	4	:	:	PUNCT
cte-418	212	5	eg	eg	NOUN
cte-418	212	6	–	–	PUNCT
cte-418	212	7	1	1	NUM
cte-418	212	8	student	student	NOUN
cte-418	212	9	(	(	PUNCT
cte-418	212	10	6	6	NUM
cte-418	212	11	%	%	NOUN
cte-418	212	12	)	)	PUNCT
cte-418	212	13	,	,	PUNCT
cte-418	212	14	cg	cg	INTJ
cte-418	212	15	–	–	PUNCT
cte-418	212	16	no	no	DET
cte-418	212	17	students	student	NOUN
cte-418	212	18	(	(	PUNCT
cte-418	212	19	0	0	NUM
cte-418	212	20	%	%	NOUN
cte-418	212	21	)	)	PUNCT
cte-418	212	22	,	,	PUNCT
cte-418	212	23	group	group	NOUN
cte-418	212	24	1	1	NUM
cte-418	212	25	–	–	SYM
cte-418	212	26	5	5	NUM
cte-418	212	27	teachers	teacher	NOUN
cte-418	212	28	(	(	PUNCT
cte-418	212	29	23	23	NUM
cte-418	212	30	%	%	NOUN
cte-418	212	31	)	)	PUNCT
cte-418	212	32	,	,	PUNCT
cte-418	212	33	group	group	NOUN
cte-418	212	34	2	2	NUM
cte-418	212	35	–	–	PUNCT
cte-418	212	36	6	6	NUM
cte-418	212	37	teachers	teacher	NOUN
cte-418	212	38	(	(	PUNCT
cte-418	212	39	23	23	NUM
cte-418	212	40	%	%	NOUN
cte-418	212	41	)	)	PUNCT
cte-418	212	42	.	.	PUNCT
cte-418	213	1	2	2	X
cte-418	213	2	.	.	X
cte-418	213	3	the	the	DET
cte-418	213	4	participants	participant	NOUN
cte-418	213	5	received	receive	VERB
cte-418	213	6	a	a	DET
cte-418	213	7	clue	clue	NOUN
cte-418	213	8	about	about	ADP
cte-418	213	9	the	the	DET
cte-418	213	10	way	way	NOUN
cte-418	213	11	it	it	PRON
cte-418	213	12	is	be	AUX
cte-418	213	13	possible	possible	ADJ
cte-418	213	14	to	to	PART
cte-418	213	15	construct	construct	VERB
cte-418	213	16	the	the	DET
cte-418	213	17	pyramid	pyramid	NOUN
cte-418	213	18	with	with	ADP
cte-418	213	19	the	the	DET
cte-418	213	20	obtuse	obtuse	ADJ
cte-418	213	21	dihedral	dihedral	ADJ
cte-418	213	22	angle	angle	NOUN
cte-418	213	23	at	at	ADP
cte-418	213	24	the	the	DET
cte-418	213	25	base	base	NOUN
cte-418	213	26	(	(	PUNCT
cte-418	213	27	pyramid	pyramid	NOUN
cte-418	213	28	of	of	ADP
cte-418	213	29	type	type	NOUN
cte-418	213	30	2	2	NUM
cte-418	213	31	)	)	PUNCT
cte-418	213	32	.	.	PUNCT
cte-418	214	1	the	the	DET
cte-418	214	2	question	question	NOUN
cte-418	214	3	was	be	AUX
cte-418	214	4	the	the	DET
cte-418	214	5	following	following	NOUN
cte-418	214	6	:	:	PUNCT
cte-418	214	7	is	be	AUX
cte-418	214	8	it	it	PRON
cte-418	214	9	possible	possible	ADJ
cte-418	214	10	to	to	PART
cte-418	214	11	construct	construct	VERB
cte-418	214	12	the	the	DET
cte-418	214	13	vertex	vertex	NOUN
cte-418	214	14	of	of	ADP
cte-418	214	15	the	the	DET
cte-418	214	16	pyramid	pyramid	NOUN
cte-418	214	17	projection	projection	NOUN
cte-418	214	18	on	on	ADP
cte-418	214	19	the	the	DET
cte-418	214	20	plane	plane	NOUN
cte-418	214	21	base	base	NOUN
cte-418	214	22	and	and	CCONJ
cte-418	214	23	in	in	ADP
cte-418	214	24	fact	fact	NOUN
cte-418	214	25	the	the	DET
cte-418	214	26	pyramid	pyramid	NOUN
cte-418	214	27	itself	itself	PRON
cte-418	214	28	?	?	PUNCT
cte-418	215	1	a	a	DET
cte-418	215	2	positive	positive	ADJ
cte-418	215	3	answer	answer	NOUN
cte-418	215	4	:	:	PUNCT
cte-418	215	5	eg	eg	NOUN
cte-418	215	6	–	–	PUNCT
cte-418	215	7	6	6	NUM
cte-418	215	8	students	student	NOUN
cte-418	215	9	(	(	PUNCT
cte-418	215	10	28	28	NUM
cte-418	215	11	%	%	NOUN
cte-418	215	12	)	)	PUNCT
cte-418	215	13	,	,	PUNCT
cte-418	215	14	cg	cg	INTJ
cte-418	215	15	–	–	PUNCT
cte-418	215	16	5	5	NUM
cte-418	215	17	students	student	NOUN
cte-418	215	18	(	(	PUNCT
cte-418	215	19	28	28	NUM
cte-418	215	20	%	%	NOUN
cte-418	215	21	)	)	PUNCT
cte-418	215	22	,	,	PUNCT
cte-418	215	23	group	group	NOUN
cte-418	215	24	1	1	NUM
cte-418	215	25	–	–	PUNCT
cte-418	215	26	12	12	NUM
cte-418	215	27	teachers	teacher	NOUN
cte-418	215	28	(	(	PUNCT
cte-418	215	29	55	55	NUM
cte-418	215	30	%	%	NOUN
cte-418	215	31	)	)	PUNCT
cte-418	215	32	,	,	PUNCT
cte-418	215	33	group	group	NOUN
cte-418	215	34	2	2	NUM
cte-418	215	35	–	–	PUNCT
cte-418	215	36	13	13	NUM
cte-418	215	37	teachers	teacher	NOUN
cte-418	215	38	(	(	PUNCT
cte-418	215	39	50	50	NUM
cte-418	215	40	%	%	NOUN
cte-418	215	41	)	)	PUNCT
cte-418	215	42	.	.	PUNCT
cte-418	216	1	3	3	X
cte-418	216	2	.	.	X
cte-418	216	3	first	first	ADV
cte-418	216	4	,	,	PUNCT
cte-418	216	5	a	a	DET
cte-418	216	6	dynamic	dynamic	ADJ
cte-418	216	7	model	model	NOUN
cte-418	216	8	,	,	PUNCT
cte-418	216	9	constructed	construct	VERB
cte-418	216	10	with	with	ADP
cte-418	216	11	geogebra	geogebra	NOUN
cte-418	216	12	,	,	PUNCT
cte-418	216	13	was	be	AUX
cte-418	216	14	demonstrated	demonstrate	VERB
cte-418	216	15	to	to	ADP
cte-418	216	16	the	the	DET
cte-418	216	17	participants	participant	NOUN
cte-418	216	18	.	.	PUNCT
cte-418	217	1	the	the	DET
cte-418	217	2	algorithm	algorithm	NOUN
cte-418	217	3	of	of	ADP
cte-418	217	4	the	the	DET
cte-418	217	5	pyramid	pyramid	NOUN
cte-418	217	6	construction	construction	NOUN
cte-418	217	7	via	via	ADP
cte-418	217	8	the	the	DET
cte-418	217	9	use	use	NOUN
cte-418	217	10	of	of	ADP
cte-418	217	11	the	the	DET
cte-418	217	12	tool	tool	NOUN
cte-418	217	13	geogebra	geogebra	NOUN
cte-418	217	14	construction	construction	NOUN
cte-418	217	15	steps	step	NOUN
cte-418	217	16	was	be	AUX
cte-418	217	17	displayed	display	VERB
cte-418	217	18	.	.	PUNCT
cte-418	218	1	the	the	DET
cte-418	218	2	task	task	NOUN
cte-418	218	3	was	be	AUX
cte-418	218	4	to	to	PART
cte-418	218	5	construct	construct	VERB
cte-418	218	6	the	the	DET
cte-418	218	7	pyramid	pyramid	NOUN
cte-418	218	8	of	of	ADP
cte-418	218	9	type	type	NOUN
cte-418	218	10	2	2	NUM
cte-418	218	11	and	and	CCONJ
cte-418	218	12	create	create	VERB
cte-418	218	13	a	a	DET
cte-418	218	14	problem	problem	NOUN
cte-418	218	15	solving	solve	VERB
cte-418	218	16	algorithm	algorithm	NOUN
cte-418	218	17	individually	individually	ADV
cte-418	218	18	.	.	PUNCT
cte-418	219	1	next	next	ADV
cte-418	219	2	,	,	PUNCT
cte-418	219	3	a	a	DET
cte-418	219	4	paper	paper	NOUN
cte-418	219	5	pyramid	pyramid	NOUN
cte-418	219	6	model	model	NOUN
cte-418	219	7	was	be	AUX
cte-418	219	8	demonstrated	demonstrate	VERB
cte-418	219	9	to	to	ADP
cte-418	219	10	the	the	DET
cte-418	219	11	participants	participant	NOUN
cte-418	219	12	.	.	PUNCT
cte-418	220	1	the	the	DET
cte-418	220	2	algorithm	algorithm	NOUN
cte-418	220	3	of	of	ADP
cte-418	220	4	the	the	DET
cte-418	220	5	construction	construction	NOUN
cte-418	220	6	was	be	AUX
cte-418	220	7	discussed	discuss	VERB
cte-418	220	8	.	.	PUNCT
cte-418	221	1	the	the	DET
cte-418	221	2	task	task	NOUN
cte-418	221	3	was	be	AUX
cte-418	221	4	to	to	PART
cte-418	221	5	construct	construct	VERB
cte-418	221	6	the	the	DET
cte-418	221	7	pyramid	pyramid	NOUN
cte-418	221	8	of	of	ADP
cte-418	221	9	type	type	NOUN
cte-418	221	10	2	2	NUM
cte-418	221	11	and	and	CCONJ
cte-418	221	12	create	create	VERB
cte-418	221	13	a	a	DET
cte-418	221	14	problem	problem	NOUN
cte-418	221	15	solving	solve	VERB
cte-418	221	16	algorithm	algorithm	NOUN
cte-418	221	17	.	.	PUNCT
cte-418	222	1	a	a	DET
cte-418	222	2	positive	positive	ADJ
cte-418	222	3	answer	answer	NOUN
cte-418	222	4	:	:	PUNCT
cte-418	222	5	eg	eg	NOUN
cte-418	222	6	–	–	PUNCT
cte-418	222	7	12	12	NUM
cte-418	222	8	students	student	NOUN
cte-418	222	9	(	(	PUNCT
cte-418	222	10	75	75	NUM
cte-418	222	11	%	%	NOUN
cte-418	222	12	)	)	PUNCT
cte-418	222	13	,	,	PUNCT
cte-418	222	14	cg	cg	INTJ
cte-418	222	15	–	–	PUNCT
cte-418	222	16	8	8	NUM
cte-418	222	17	students	student	NOUN
cte-418	222	18	(	(	PUNCT
cte-418	222	19	44	44	NUM
cte-418	222	20	%	%	NOUN
cte-418	222	21	)	)	PUNCT
cte-418	222	22	,	,	PUNCT
cte-418	222	23	group	group	NOUN
cte-418	222	24	1	1	NUM
cte-418	222	25	–	–	SYM
cte-418	222	26	19	19	NUM
cte-418	222	27	teachers	teacher	NOUN
cte-418	222	28	(	(	PUNCT
cte-418	222	29	86	86	NUM
cte-418	222	30	%	%	NOUN
cte-418	222	31	)	)	PUNCT
cte-418	222	32	,	,	PUNCT
cte-418	222	33	group	group	NOUN
cte-418	222	34	2	2	NUM
cte-418	222	35	–	–	PUNCT
cte-418	222	36	17	17	NUM
cte-418	222	37	teachers	teacher	NOUN
cte-418	222	38	(	(	PUNCT
cte-418	222	39	65	65	NUM
cte-418	222	40	%	%	NOUN
cte-418	222	41	)	)	PUNCT
cte-418	222	42	.	.	PUNCT
cte-418	223	1	fisher	fisher	PROPN
cte-418	223	2	’s	’s	PART
cte-418	223	3	angular	angular	ADJ
cte-418	223	4	transformation	transformation	NOUN
cte-418	223	5	[	[	X
cte-418	223	6	26	26	NUM
cte-418	223	7	]	]	PUNCT
cte-418	223	8	was	be	AUX
cte-418	223	9	used	use	VERB
cte-418	223	10	for	for	ADP
cte-418	223	11	the	the	DET
cte-418	223	12	research	research	NOUN
cte-418	223	13	results	result	NOUN
cte-418	223	14	processing	processing	NOUN
cte-418	223	15	.	.	PUNCT
cte-418	224	1	for	for	ADP
cte-418	224	2	this	this	DET
cte-418	224	3	purpose	purpose	NOUN
cte-418	224	4	,	,	PUNCT
cte-418	224	5	the	the	DET
cte-418	224	6	task	task	NOUN
cte-418	224	7	performance	performance	NOUN
cte-418	224	8	proportions	proportion	NOUN
cte-418	224	9	in	in	ADP
cte-418	224	10	the	the	DET
cte-418	224	11	groups	group	NOUN
cte-418	224	12	during	during	ADP
cte-418	224	13	the	the	DET
cte-418	224	14	first	first	ADJ
cte-418	224	15	and	and	CCONJ
cte-418	224	16	second	second	ADJ
cte-418	224	17	stages	stage	NOUN
cte-418	224	18	were	be	AUX
cte-418	224	19	compared	compare	VERB
cte-418	224	20	.	.	PUNCT
cte-418	225	1	φ(eg	φ(eg	NUM
cte-418	225	2	,	,	PUNCT
cte-418	225	3	cg	cg	NOUN
cte-418	225	4	)	)	PUNCT
cte-418	225	5	=	=	PUNCT
cte-418	226	1	0,61	0,61	X
cte-418	226	2	<	<	X
cte-418	226	3	1,64	1,64	NUM
cte-418	226	4	;	;	PUNCT
cte-418	226	5	φ(group1	φ(group1	PROPN
cte-418	226	6	,	,	PUNCT
cte-418	226	7	group2	group2	NOUN
cte-418	226	8	)	)	PUNCT
cte-418	227	1	=	=	PUNCT
cte-418	228	1	0,31	0,31	X
cte-418	228	2	<	<	X
cte-418	229	1	1,64	1,64	NUM
cte-418	229	2	:	:	PUNCT
cte-418	229	3	the	the	DET
cte-418	229	4	received	receive	VERB
cte-418	229	5	results	result	NOUN
cte-418	229	6	do	do	AUX
cte-418	229	7	not	not	PART
cte-418	229	8	differ	differ	VERB
cte-418	229	9	considerably	considerably	ADV
cte-418	229	10	both	both	CCONJ
cte-418	229	11	in	in	ADP
cte-418	229	12	the	the	DET
cte-418	229	13	groups	group	NOUN
cte-418	229	14	of	of	ADP
cte-418	229	15	students	student	NOUN
cte-418	229	16	and	and	CCONJ
cte-418	229	17	teachers	teacher	NOUN
cte-418	229	18	.	.	PUNCT
cte-418	230	1	after	after	ADP
cte-418	230	2	stage	stage	NOUN
cte-418	230	3	3	3	NUM
cte-418	230	4	,	,	PUNCT
cte-418	230	5	the	the	DET
cte-418	230	6	proportions	proportion	NOUN
cte-418	230	7	of	of	ADP
cte-418	230	8	successful	successful	ADJ
cte-418	230	9	task	task	NOUN
cte-418	230	10	performance	performance	NOUN
cte-418	230	11	in	in	ADP
cte-418	230	12	groups	group	NOUN
cte-418	230	13	were	be	AUX
cte-418	230	14	compared	compare	VERB
cte-418	230	15	one	one	NUM
cte-418	230	16	more	more	ADJ
cte-418	230	17	time	time	NOUN
cte-418	230	18	.	.	PUNCT
cte-418	231	1	φ(eg	φ(eg	NUM
cte-418	231	2	,	,	PUNCT
cte-418	231	3	cg	cg	NOUN
cte-418	231	4	)	)	PUNCT
cte-418	231	5	=	=	PUNCT
cte-418	232	1	1,85	1,85	NUM
cte-418	232	2	>	>	X
cte-418	232	3	1,64	1,64	NUM
cte-418	232	4	;	;	PUNCT
cte-418	232	5	φ(group1	φ(group1	PROPN
cte-418	232	6	,	,	PUNCT
cte-418	232	7	group2	group2	NOUN
cte-418	232	8	)	)	PUNCT
cte-418	232	9	=	=	SYM
cte-418	233	1	1,73	1,73	NUM
cte-418	233	2	>	>	X
cte-418	234	1	1,64	1,64	NUM
cte-418	234	2	:	:	PUNCT
cte-418	234	3	the	the	DET
cte-418	234	4	results	result	NOUN
cte-418	234	5	differ	differ	VERB
cte-418	234	6	significantly	significantly	ADV
cte-418	234	7	this	this	DET
cte-418	234	8	time	time	NOUN
cte-418	234	9	.	.	PUNCT
cte-418	235	1	it	it	PRON
cte-418	235	2	has	have	AUX
cte-418	235	3	been	be	AUX
cte-418	235	4	defined	define	VERB
cte-418	235	5	that	that	SCONJ
cte-418	235	6	the	the	DET
cte-418	235	7	use	use	NOUN
cte-418	235	8	of	of	ADP
cte-418	235	9	dynamic	dynamic	ADJ
cte-418	235	10	models	model	NOUN
cte-418	235	11	created	create	VERB
cte-418	235	12	with	with	ADP
cte-418	235	13	geogebra	geogebra	NOUN
cte-418	235	14	was	be	AUX
cte-418	235	15	more	more	ADV
cte-418	235	16	effective	effective	ADJ
cte-418	235	17	in	in	ADP
cte-418	235	18	comparison	comparison	NOUN
cte-418	235	19	with	with	ADP
cte-418	235	20	the	the	DET
cte-418	235	21	static	static	ADJ
cte-418	235	22	paper	paper	NOUN
cte-418	235	23	ones	one	NOUN
cte-418	235	24	.	.	PUNCT
cte-418	236	1	714	714	NUM
cte-418	236	2	cte	cte	NOUN
cte-418	236	3	workshop	workshop	NOUN
cte-418	236	4	proceedings	proceeding	NOUN
cte-418	236	5	,	,	PUNCT
cte-418	236	6	2020	2020	NUM
cte-418	236	7	,	,	PUNCT
cte-418	236	8	vol	vol	NOUN
cte-418	236	9	.	.	PUNCT
cte-418	236	10	7	7	NUM
cte-418	236	11	:	:	PUNCT
cte-418	236	12	cte-2019	cte-2019	NOUN
cte-418	236	13	,	,	PUNCT
cte-418	236	14	pp	pp	ADV
cte-418	236	15	.	.	PUNCT
cte-418	237	1	705	705	NUM
cte-418	237	2	-	-	SYM
cte-418	237	3	718	718	NUM
cte-418	237	4	on	on	ADP
cte-418	237	5	discussing	discuss	VERB
cte-418	237	6	the	the	DET
cte-418	237	7	use	use	NOUN
cte-418	237	8	of	of	ADP
cte-418	237	9	dynamic	dynamic	ADJ
cte-418	237	10	models	model	NOUN
cte-418	237	11	created	create	VERB
cte-418	237	12	with	with	ADP
cte-418	237	13	geogebra	geogebra	NOUN
cte-418	237	14	,	,	PUNCT
cte-418	237	15	participants	participant	NOUN
cte-418	237	16	pointed	point	VERB
cte-418	237	17	out	out	ADP
cte-418	237	18	the	the	DET
cte-418	237	19	following	following	ADJ
cte-418	237	20	advantages	advantage	NOUN
cte-418	237	21	:	:	PUNCT
cte-418	237	22	variability	variability	NOUN
cte-418	237	23	;	;	PUNCT
cte-418	237	24	dynamic	dynamic	ADJ
cte-418	237	25	visuals	visual	NOUN
cte-418	237	26	which	which	PRON
cte-418	237	27	enhance	enhance	VERB
cte-418	237	28	the	the	DET
cte-418	237	29	development	development	NOUN
cte-418	237	30	of	of	ADP
cte-418	237	31	spatial	spatial	ADJ
cte-418	237	32	imagination	imagination	NOUN
cte-418	237	33	;	;	PUNCT
cte-418	237	34	multiple	multiple	ADJ
cte-418	237	35	reproducibility	reproducibility	NOUN
cte-418	237	36	of	of	ADP
cte-418	237	37	the	the	DET
cte-418	237	38	construction	construction	NOUN
cte-418	237	39	,	,	PUNCT
cte-418	237	40	which	which	PRON
cte-418	237	41	will	will	AUX
cte-418	237	42	contribute	contribute	VERB
cte-418	237	43	to	to	ADP
cte-418	237	44	the	the	DET
cte-418	237	45	development	development	NOUN
cte-418	237	46	of	of	ADP
cte-418	237	47	algorithmic	algorithmic	ADJ
cte-418	237	48	thinking	thinking	NOUN
cte-418	237	49	.	.	PUNCT
cte-418	238	1	4.4	4.4	NUM
cte-418	238	2	tasks	task	NOUN
cte-418	238	3	on	on	ADP
cte-418	238	4	combinations	combination	NOUN
cte-418	238	5	of	of	ADP
cte-418	238	6	polyhedron	polyhedron	NOUN
cte-418	238	7	and	and	CCONJ
cte-418	238	8	solids	solid	NOUN
cte-418	238	9	of	of	ADP
cte-418	238	10	revolution	revolution	NOUN
cte-418	238	11	consider	consider	VERB
cte-418	238	12	the	the	DET
cte-418	238	13	way	way	NOUN
cte-418	238	14	it	it	PRON
cte-418	238	15	is	be	AUX
cte-418	238	16	possible	possible	ADJ
cte-418	238	17	to	to	PART
cte-418	238	18	inscribe	inscribe	VERB
cte-418	238	19	a	a	DET
cte-418	238	20	sphere	sphere	NOUN
cte-418	238	21	into	into	ADP
cte-418	238	22	the	the	DET
cte-418	238	23	right	right	ADJ
cte-418	238	24	rectangular	rectangular	ADJ
cte-418	238	25	pyramid	pyramid	NOUN
cte-418	238	26	via	via	ADP
cte-418	238	27	the	the	DET
cte-418	238	28	use	use	NOUN
cte-418	238	29	of	of	ADP
cte-418	238	30	3d	3d	NUM
cte-418	238	31	geometry	geometry	NOUN
cte-418	238	32	.	.	PUNCT
cte-418	239	1	in	in	ADP
cte-418	239	2	order	order	NOUN
cte-418	239	3	to	to	PART
cte-418	239	4	construct	construct	VERB
cte-418	239	5	the	the	DET
cte-418	239	6	base	base	NOUN
cte-418	239	7	of	of	ADP
cte-418	239	8	the	the	DET
cte-418	239	9	pyramid	pyramid	NOUN
cte-418	239	10	,	,	PUNCT
cte-418	239	11	it	it	PRON
cte-418	239	12	is	be	AUX
cte-418	239	13	necessary	necessary	ADJ
cte-418	239	14	to	to	PART
cte-418	239	15	use	use	VERB
cte-418	239	16	the	the	DET
cte-418	239	17	right	right	ADJ
cte-418	239	18	polygon	polygon	NOUN
cte-418	239	19	tool	tool	NOUN
cte-418	239	20	,	,	PUNCT
cte-418	239	21	by	by	ADP
cte-418	239	22	pointing	point	VERB
cte-418	239	23	two	two	NUM
cte-418	239	24	points	point	NOUN
cte-418	239	25	on	on	ADP
cte-418	239	26	the	the	DET
cte-418	239	27	3d	3d	ADJ
cte-418	239	28	canvas	canvas	NOUN
cte-418	239	29	–	–	PUNCT
cte-418	239	30	adjacent	adjacent	ADJ
cte-418	239	31	vertexes	vertex	NOUN
cte-418	239	32	of	of	ADP
cte-418	239	33	the	the	DET
cte-418	239	34	base	base	NOUN
cte-418	239	35	,	,	PUNCT
cte-418	239	36	and	and	CCONJ
cte-418	239	37	indicating	indicate	VERB
cte-418	239	38	that	that	SCONJ
cte-418	239	39	the	the	DET
cte-418	239	40	right	right	ADJ
cte-418	239	41	polygon	polygon	NOUN
cte-418	239	42	has	have	VERB
cte-418	239	43	4	4	NUM
cte-418	239	44	vertexes	vertex	NOUN
cte-418	239	45	.	.	PUNCT
cte-418	240	1	then	then	ADV
cte-418	240	2	one	one	PRON
cte-418	240	3	should	should	AUX
cte-418	240	4	construct	construct	VERB
cte-418	240	5	the	the	DET
cte-418	240	6	diagonals	diagonal	NOUN
cte-418	240	7	of	of	ADP
cte-418	240	8	the	the	DET
cte-418	240	9	square	square	NOUN
cte-418	240	10	(	(	PUNCT
cte-418	240	11	the	the	DET
cte-418	240	12	segment	segment	NOUN
cte-418	240	13	tool	tool	NOUN
cte-418	240	14	)	)	PUNCT
cte-418	240	15	and	and	CCONJ
cte-418	240	16	define	define	VERB
cte-418	240	17	the	the	DET
cte-418	240	18	center	center	NOUN
cte-418	240	19	(	(	PUNCT
cte-418	240	20	intersection	intersection	NOUN
cte-418	240	21	point	point	NOUN
cte-418	240	22	)	)	PUNCT
cte-418	240	23	.	.	PUNCT
cte-418	241	1	then	then	ADV
cte-418	241	2	through	through	ADP
cte-418	241	3	the	the	DET
cte-418	241	4	center	center	NOUN
cte-418	241	5	of	of	ADP
cte-418	241	6	the	the	DET
cte-418	241	7	square	square	NOUN
cte-418	241	8	,	,	PUNCT
cte-418	241	9	which	which	PRON
cte-418	241	10	is	be	AUX
cte-418	241	11	also	also	ADV
cte-418	241	12	the	the	DET
cte-418	241	13	center	center	NOUN
cte-418	241	14	of	of	ADP
cte-418	241	15	the	the	DET
cte-418	241	16	circle	circle	NOUN
cte-418	241	17	inscribed	inscribe	VERB
cte-418	241	18	in	in	ADP
cte-418	241	19	the	the	DET
cte-418	241	20	square	square	NOUN
cte-418	241	21	,	,	PUNCT
cte-418	241	22	one	one	PRON
cte-418	241	23	draws	draw	VERB
cte-418	241	24	a	a	DET
cte-418	241	25	straight	straight	ADJ
cte-418	241	26	line	line	NOUN
cte-418	241	27	perpendicular	perpendicular	NOUN
cte-418	241	28	to	to	ADP
cte-418	241	29	the	the	DET
cte-418	241	30	plane	plane	NOUN
cte-418	241	31	of	of	ADP
cte-418	241	32	the	the	DET
cte-418	241	33	square	square	NOUN
cte-418	241	34	.	.	PUNCT
cte-418	242	1	on	on	ADP
cte-418	242	2	this	this	DET
cte-418	242	3	straight	straight	ADJ
cte-418	242	4	line	line	NOUN
cte-418	242	5	,	,	PUNCT
cte-418	242	6	one	one	NUM
cte-418	242	7	chooses	choose	VERB
cte-418	242	8	an	an	DET
cte-418	242	9	arbitrary	arbitrary	ADJ
cte-418	242	10	point	point	NOUN
cte-418	242	11	(	(	PUNCT
cte-418	242	12	point	point	NOUN
cte-418	242	13	on	on	ADP
cte-418	242	14	the	the	DET
cte-418	242	15	object	object	NOUN
cte-418	242	16	)	)	PUNCT
cte-418	242	17	and	and	CCONJ
cte-418	242	18	constructs	construct	VERB
cte-418	242	19	a	a	DET
cte-418	242	20	polyhedron	polyhedron	NOUN
cte-418	242	21	(	(	PUNCT
cte-418	242	22	pyramid	pyramid	NOUN
cte-418	242	23	)	)	PUNCT
cte-418	242	24	.	.	PUNCT
cte-418	243	1	the	the	DET
cte-418	243	2	perpendicular	perpendicular	NOUN
cte-418	243	3	to	to	ADP
cte-418	243	4	the	the	DET
cte-418	243	5	plane	plane	NOUN
cte-418	243	6	of	of	ADP
cte-418	243	7	the	the	DET
cte-418	243	8	square	square	ADJ
cte-418	243	9	straight	straight	ADJ
cte-418	243	10	line	line	NOUN
cte-418	243	11	is	be	AUX
cte-418	243	12	the	the	DET
cte-418	243	13	geometric	geometric	ADJ
cte-418	243	14	location	location	NOUN
cte-418	243	15	of	of	ADP
cte-418	243	16	points	point	NOUN
cte-418	243	17	,	,	PUNCT
cte-418	243	18	equidistant	equidistant	ADJ
cte-418	243	19	from	from	ADP
cte-418	243	20	the	the	DET
cte-418	243	21	sides	side	NOUN
cte-418	243	22	of	of	ADP
cte-418	243	23	the	the	DET
cte-418	243	24	base	base	NOUN
cte-418	243	25	of	of	ADP
cte-418	243	26	the	the	DET
cte-418	243	27	right	right	ADJ
cte-418	243	28	pyramid	pyramid	NOUN
cte-418	243	29	.	.	PUNCT
cte-418	244	1	fig	fig	NOUN
cte-418	244	2	.	.	PUNCT
cte-418	245	1	4	4	X
cte-418	245	2	.	.	X
cte-418	246	1	the	the	DET
cte-418	246	2	sphere	sphere	NOUN
cte-418	246	3	inscribed	inscribe	VERB
cte-418	246	4	in	in	ADP
cte-418	246	5	the	the	DET
cte-418	246	6	pyramid	pyramid	NOUN
cte-418	246	7	.	.	PUNCT
cte-418	247	1	to	to	PART
cte-418	247	2	determine	determine	VERB
cte-418	247	3	the	the	DET
cte-418	247	4	position	position	NOUN
cte-418	247	5	of	of	ADP
cte-418	247	6	the	the	DET
cte-418	247	7	center	center	NOUN
cte-418	247	8	inscribed	inscribe	VERB
cte-418	247	9	sphere	sphere	ADV
cte-418	247	10	in	in	ADP
cte-418	247	11	the	the	DET
cte-418	247	12	pyramid	pyramid	NOUN
cte-418	247	13	,	,	PUNCT
cte-418	247	14	one	one	PRON
cte-418	247	15	constructs	construct	VERB
cte-418	247	16	a	a	DET
cte-418	247	17	geometric	geometric	ADJ
cte-418	247	18	location	location	NOUN
cte-418	247	19	of	of	ADP
cte-418	247	20	points	point	NOUN
cte-418	247	21	that	that	PRON
cte-418	247	22	are	be	AUX
cte-418	247	23	equidistant	equidistant	ADJ
cte-418	247	24	from	from	ADP
cte-418	247	25	the	the	DET
cte-418	247	26	edges	edge	NOUN
cte-418	247	27	of	of	ADP
cte-418	247	28	the	the	DET
cte-418	247	29	dihedral	dihedral	ADJ
cte-418	247	30	angle	angle	NOUN
cte-418	247	31	cte	cte	NOUN
cte-418	247	32	workshop	workshop	NOUN
cte-418	247	33	proceedings	proceeding	NOUN
cte-418	247	34	,	,	PUNCT
cte-418	247	35	2020	2020	NUM
cte-418	247	36	,	,	PUNCT
cte-418	247	37	vol	vol	NOUN
cte-418	247	38	.	.	PUNCT
cte-418	247	39	7	7	NUM
cte-418	247	40	:	:	PUNCT
cte-418	247	41	cte-2019	cte-2019	NOUN
cte-418	247	42	,	,	PUNCT
cte-418	247	43	pp	pp	ADV
cte-418	247	44	.	.	PUNCT
cte-418	248	1	705	705	NUM
cte-418	248	2	-	-	SYM
cte-418	248	3	718	718	NUM
cte-418	248	4	715	715	NUM
cte-418	248	5	at	at	ADP
cte-418	248	6	the	the	DET
cte-418	248	7	base	base	NOUN
cte-418	248	8	of	of	ADP
cte-418	248	9	the	the	DET
cte-418	248	10	pyramid	pyramid	NOUN
cte-418	248	11	.	.	PUNCT
cte-418	249	1	since	since	SCONJ
cte-418	249	2	there	there	PRON
cte-418	249	3	is	be	VERB
cte-418	249	4	no	no	DET
cte-418	249	5	construction	construction	NOUN
cte-418	249	6	of	of	ADP
cte-418	249	7	the	the	DET
cte-418	249	8	bisector	bisector	NOUN
cte-418	249	9	plane	plane	NOUN
cte-418	249	10	in	in	ADP
cte-418	249	11	the	the	DET
cte-418	249	12	geogebra	geogebra	NOUN
cte-418	249	13	tools	tool	NOUN
cte-418	249	14	,	,	PUNCT
cte-418	249	15	it	it	PRON
cte-418	249	16	is	be	AUX
cte-418	249	17	necessary	necessary	ADJ
cte-418	249	18	to	to	PART
cte-418	249	19	construct	construct	VERB
cte-418	249	20	a	a	DET
cte-418	249	21	linear	linear	ADJ
cte-418	249	22	angle	angle	NOUN
cte-418	249	23	of	of	ADP
cte-418	249	24	the	the	DET
cte-418	249	25	dihedral	dihedral	ADJ
cte-418	249	26	angle	angle	NOUN
cte-418	249	27	at	at	ADP
cte-418	249	28	the	the	DET
cte-418	249	29	base	base	NOUN
cte-418	249	30	and	and	CCONJ
cte-418	249	31	then	then	ADV
cte-418	249	32	bisector	bisector	NOUN
cte-418	249	33	of	of	ADP
cte-418	249	34	the	the	DET
cte-418	249	35	very	very	ADJ
cte-418	249	36	angle	angle	NOUN
cte-418	249	37	.	.	PUNCT
cte-418	250	1	the	the	DET
cte-418	250	2	plane	plane	NOUN
cte-418	250	3	passing	pass	VERB
cte-418	250	4	through	through	ADP
cte-418	250	5	the	the	DET
cte-418	250	6	vertex	vertex	NOUN
cte-418	250	7	of	of	ADP
cte-418	250	8	the	the	DET
cte-418	250	9	pyramid	pyramid	NOUN
cte-418	250	10	perpendicular	perpendicular	NOUN
cte-418	250	11	to	to	ADP
cte-418	250	12	the	the	DET
cte-418	250	13	edge	edge	NOUN
cte-418	250	14	of	of	ADP
cte-418	250	15	the	the	DET
cte-418	250	16	base	base	NOUN
cte-418	250	17	is	be	AUX
cte-418	250	18	built	build	VERB
cte-418	250	19	(	(	PUNCT
cte-418	250	20	plane	plane	NOUN
cte-418	250	21	through	through	ADP
cte-418	250	22	the	the	DET
cte-418	250	23	point	point	NOUN
cte-418	250	24	perpendicular	perpendicular	NOUN
cte-418	250	25	to	to	ADP
cte-418	250	26	the	the	DET
cte-418	250	27	straight	straight	ADJ
cte-418	250	28	line	line	NOUN
cte-418	250	29	;	;	PUNCT
cte-418	250	30	intersection	intersection	NOUN
cte-418	250	31	point	point	NOUN
cte-418	250	32	)	)	PUNCT
cte-418	250	33	.	.	PUNCT
cte-418	251	1	instead	instead	ADV
cte-418	251	2	of	of	ADP
cte-418	251	3	a	a	DET
cte-418	251	4	plane	plane	NOUN
cte-418	251	5	,	,	PUNCT
cte-418	251	6	it	it	PRON
cte-418	251	7	is	be	AUX
cte-418	251	8	possible	possible	ADJ
cte-418	251	9	to	to	PART
cte-418	251	10	draw	draw	VERB
cte-418	251	11	a	a	DET
cte-418	251	12	straight	straight	ADJ
cte-418	251	13	line	line	NOUN
cte-418	251	14	from	from	ADP
cte-418	251	15	the	the	DET
cte-418	251	16	vertex	vertex	NOUN
cte-418	251	17	of	of	ADP
cte-418	251	18	the	the	DET
cte-418	251	19	pyramid	pyramid	NOUN
cte-418	251	20	perpendicular	perpendicular	NOUN
cte-418	251	21	to	to	ADP
cte-418	251	22	the	the	DET
cte-418	251	23	edge	edge	NOUN
cte-418	251	24	of	of	ADP
cte-418	251	25	the	the	DET
cte-418	251	26	base	base	NOUN
cte-418	251	27	(	(	PUNCT
cte-418	251	28	straight	straight	ADJ
cte-418	251	29	,	,	PUNCT
cte-418	251	30	perpendicular	perpendicular	ADJ
cte-418	251	31	to	to	PART
cte-418	251	32	straight	straight	ADJ
cte-418	251	33	)	)	PUNCT
cte-418	251	34	.	.	PUNCT
cte-418	252	1	next	next	ADV
cte-418	252	2	,	,	PUNCT
cte-418	252	3	one	one	PRON
cte-418	252	4	should	should	AUX
cte-418	252	5	find	find	VERB
cte-418	252	6	the	the	DET
cte-418	252	7	intersection	intersection	NOUN
cte-418	252	8	point	point	NOUN
cte-418	252	9	of	of	ADP
cte-418	252	10	the	the	DET
cte-418	252	11	constructed	construct	VERB
cte-418	252	12	plane	plane	NOUN
cte-418	252	13	/	/	SYM
cte-418	252	14	perpendicular	perpendicular	NOUN
cte-418	252	15	with	with	ADP
cte-418	252	16	the	the	DET
cte-418	252	17	edge	edge	NOUN
cte-418	252	18	of	of	ADP
cte-418	252	19	the	the	DET
cte-418	252	20	base	base	NOUN
cte-418	252	21	(	(	PUNCT
cte-418	252	22	intersection	intersection	NOUN
cte-418	252	23	point	point	NOUN
cte-418	252	24	of	of	ADP
cte-418	252	25	the	the	DET
cte-418	252	26	straight	straight	ADJ
cte-418	252	27	line	line	NOUN
cte-418	252	28	and	and	CCONJ
cte-418	252	29	the	the	DET
cte-418	252	30	plane	plane	NOUN
cte-418	252	31	/	/	SYM
cte-418	252	32	intersection	intersection	NOUN
cte-418	252	33	point	point	NOUN
cte-418	252	34	of	of	ADP
cte-418	252	35	two	two	NUM
cte-418	252	36	straight	straight	ADJ
cte-418	252	37	lines	line	NOUN
cte-418	252	38	)	)	PUNCT
cte-418	252	39	.	.	PUNCT
cte-418	253	1	then	then	ADV
cte-418	253	2	one	one	PRON
cte-418	253	3	builds	build	VERB
cte-418	253	4	the	the	DET
cte-418	253	5	bisector	bisector	NOUN
cte-418	253	6	of	of	ADP
cte-418	253	7	the	the	DET
cte-418	253	8	obtained	obtain	VERB
cte-418	253	9	linear	linear	PROPN
cte-418	253	10	angle	angle	NOUN
cte-418	253	11	.	.	PUNCT
cte-418	254	1	the	the	DET
cte-418	254	2	point	point	NOUN
cte-418	254	3	of	of	ADP
cte-418	254	4	its	its	PRON
cte-418	254	5	intersection	intersection	NOUN
cte-418	254	6	with	with	ADP
cte-418	254	7	the	the	DET
cte-418	254	8	perpendicular	perpendicular	NOUN
cte-418	254	9	to	to	ADP
cte-418	254	10	the	the	DET
cte-418	254	11	base	base	NOUN
cte-418	254	12	of	of	ADP
cte-418	254	13	the	the	DET
cte-418	254	14	pyramid	pyramid	NOUN
cte-418	254	15	,	,	PUNCT
cte-418	254	16	drawn	draw	VERB
cte-418	254	17	from	from	ADP
cte-418	254	18	the	the	DET
cte-418	254	19	top	top	NOUN
cte-418	254	20	of	of	ADP
cte-418	254	21	the	the	DET
cte-418	254	22	pyramid	pyramid	NOUN
cte-418	254	23	,	,	PUNCT
cte-418	254	24	will	will	AUX
cte-418	254	25	determine	determine	VERB
cte-418	254	26	the	the	DET
cte-418	254	27	center	center	NOUN
cte-418	254	28	of	of	ADP
cte-418	254	29	the	the	DET
cte-418	254	30	inscribed	inscribe	VERB
cte-418	254	31	sphere	sphere	NOUN
cte-418	254	32	(	(	PUNCT
cte-418	254	33	point	point	NOUN
cte-418	254	34	of	of	ADP
cte-418	254	35	intersection	intersection	NOUN
cte-418	254	36	)	)	PUNCT
cte-418	254	37	.	.	PUNCT
cte-418	255	1	finally	finally	ADV
cte-418	255	2	,	,	PUNCT
cte-418	255	3	one	one	NOUN
cte-418	255	4	constructs	construct	VERB
cte-418	255	5	the	the	DET
cte-418	255	6	inscribed	inscribed	ADJ
cte-418	255	7	sphere	sphere	NOUN
cte-418	255	8	(	(	PUNCT
cte-418	255	9	sphere	sphere	NOUN
cte-418	255	10	outside	outside	ADP
cte-418	255	11	the	the	DET
cte-418	255	12	center	center	NOUN
cte-418	255	13	and	and	CCONJ
cte-418	255	14	radius	radius	NOUN
cte-418	255	15	)	)	PUNCT
cte-418	255	16	(	(	PUNCT
cte-418	255	17	see	see	VERB
cte-418	255	18	fig	fig	NOUN
cte-418	255	19	.	.	PUNCT
cte-418	256	1	4	4	NUM
cte-418	256	2	)	)	PUNCT
cte-418	256	3	,	,	PUNCT
cte-418	256	4	specifying	specify	VERB
cte-418	256	5	in	in	ADP
cte-418	256	6	sequence	sequence	NOUN
cte-418	256	7	the	the	DET
cte-418	256	8	center	center	NOUN
cte-418	256	9	of	of	ADP
cte-418	256	10	the	the	DET
cte-418	256	11	sphere	sphere	NOUN
cte-418	256	12	and	and	CCONJ
cte-418	256	13	the	the	DET
cte-418	256	14	point	point	NOUN
cte-418	256	15	of	of	ADP
cte-418	256	16	intersection	intersection	NOUN
cte-418	256	17	of	of	ADP
cte-418	256	18	the	the	DET
cte-418	256	19	diagonals	diagonal	NOUN
cte-418	256	20	of	of	ADP
cte-418	256	21	the	the	DET
cte-418	256	22	square	square	NOUN
cte-418	256	23	.	.	PUNCT
cte-418	257	1	for	for	ADP
cte-418	257	2	better	well	ADJ
cte-418	257	3	understanding	understanding	NOUN
cte-418	257	4	and	and	CCONJ
cte-418	257	5	mastering	mastering	NOUN
cte-418	257	6	of	of	ADP
cte-418	257	7	the	the	DET
cte-418	257	8	algorithm	algorithm	NOUN
cte-418	257	9	the	the	DET
cte-418	257	10	construction	construction	NOUN
cte-418	257	11	of	of	ADP
cte-418	257	12	the	the	DET
cte-418	257	13	sphere	sphere	NOUN
cte-418	257	14	inscribed	inscribe	VERB
cte-418	257	15	around	around	ADP
cte-418	257	16	the	the	DET
cte-418	257	17	pyramid	pyramid	NOUN
cte-418	257	18	the	the	DET
cte-418	257	19	students	student	NOUN
cte-418	257	20	setting	set	VERB
cte-418	257	21	of	of	ADP
cte-418	257	22	the	the	DET
cte-418	257	23	canvas	canvas	NOUN
cte-418	257	24	are	be	AUX
cte-418	257	25	adjusted	adjust	VERB
cte-418	257	26	to	to	PART
cte-418	257	27	be	be	AUX
cte-418	257	28	able	able	ADJ
cte-418	257	29	to	to	PART
cte-418	257	30	show	show	VERB
cte-418	257	31	the	the	DET
cte-418	257	32	step	step	NOUN
cte-418	257	33	-	-	PUNCT
cte-418	257	34	by	by	ADP
cte-418	257	35	-	-	PUNCT
cte-418	257	36	step	step	NOUN
cte-418	257	37	procedure	procedure	NOUN
cte-418	257	38	of	of	ADP
cte-418	257	39	the	the	DET
cte-418	257	40	construction	construction	NOUN
cte-418	257	41	.	.	PUNCT
cte-418	258	1	5	5	NUM
cte-418	258	2	conclusions	conclusion	NOUN
cte-418	258	3	and	and	CCONJ
cte-418	258	4	prospects	prospect	NOUN
cte-418	258	5	for	for	ADP
cte-418	258	6	further	further	ADJ
cte-418	258	7	research	research	NOUN
cte-418	258	8	1	1	NUM
cte-418	258	9	.	.	PUNCT
cte-418	259	1	the	the	DET
cte-418	259	2	use	use	NOUN
cte-418	259	3	of	of	ADP
cte-418	259	4	dynamic	dynamic	ADJ
cte-418	259	5	geometry	geometry	NOUN
cte-418	259	6	software	software	NOUN
cte-418	259	7	geogebra	geogebra	NOUN
cte-418	259	8	as	as	ADP
cte-418	259	9	a	a	DET
cte-418	259	10	modeling	modeling	NOUN
cte-418	259	11	tool	tool	NOUN
cte-418	259	12	makes	make	VERB
cte-418	259	13	it	it	PRON
cte-418	259	14	possible	possible	ADJ
cte-418	259	15	for	for	ADP
cte-418	259	16	scientific	scientific	ADJ
cte-418	259	17	experimental	experimental	ADJ
cte-418	259	18	logic	logic	NOUN
cte-418	259	19	to	to	PART
cte-418	259	20	engage	engage	VERB
cte-418	259	21	students	student	NOUN
cte-418	259	22	in	in	ADP
cte-418	259	23	discovering	discover	VERB
cte-418	259	24	new	new	ADJ
cte-418	259	25	mathematical	mathematical	ADJ
cte-418	259	26	facts	fact	NOUN
cte-418	259	27	.	.	PUNCT
cte-418	260	1	teachers	teacher	NOUN
cte-418	260	2	who	who	PRON
cte-418	260	3	are	be	AUX
cte-418	260	4	concerned	concern	VERB
cte-418	260	5	by	by	ADP
cte-418	260	6	the	the	DET
cte-418	260	7	issues	issue	NOUN
cte-418	260	8	of	of	ADP
cte-418	260	9	instrumented	instrumented	ADJ
cte-418	260	10	learning	learning	NOUN
cte-418	260	11	help	help	NOUN
cte-418	260	12	to	to	PART
cte-418	260	13	create	create	VERB
cte-418	260	14	activities	activity	NOUN
cte-418	260	15	which	which	PRON
cte-418	260	16	imply	imply	VERB
cte-418	260	17	that	that	SCONJ
cte-418	260	18	the	the	DET
cte-418	260	19	main	main	ADJ
cte-418	260	20	students	student	NOUN
cte-418	260	21	’	'	PUNCT
cte-418	260	22	motivation	motivation	NOUN
cte-418	260	23	is	be	AUX
cte-418	260	24	in	in	ADP
cte-418	260	25	the	the	DET
cte-418	260	26	understanding	understanding	NOUN
cte-418	260	27	of	of	ADP
cte-418	260	28	mathematical	mathematical	ADJ
cte-418	260	29	concepts	concept	NOUN
cte-418	260	30	.	.	PUNCT
cte-418	261	1	2	2	X
cte-418	261	2	.	.	X
cte-418	261	3	in	in	ADP
cte-418	261	4	the	the	DET
cte-418	261	5	process	process	NOUN
cte-418	261	6	of	of	ADP
cte-418	261	7	stereometry	stereometry	NOUN
cte-418	261	8	teaching	teaching	NOUN
cte-418	261	9	,	,	PUNCT
cte-418	261	10	it	it	PRON
cte-418	261	11	necessary	necessary	ADJ
cte-418	261	12	to	to	PART
cte-418	261	13	divide	divide	VERB
cte-418	261	14	the	the	DET
cte-418	261	15	students	student	NOUN
cte-418	261	16	into	into	ADP
cte-418	261	17	subgroups	subgroup	NOUN
cte-418	261	18	according	accord	VERB
cte-418	261	19	to	to	ADP
cte-418	261	20	the	the	DET
cte-418	261	21	type	type	NOUN
cte-418	261	22	of	of	ADP
cte-418	261	23	spatial	spatial	ADJ
cte-418	261	24	thinking	thinking	NOUN
cte-418	261	25	.	.	PUNCT
cte-418	262	1	this	this	PRON
cte-418	262	2	will	will	AUX
cte-418	262	3	contribute	contribute	VERB
cte-418	262	4	to	to	ADP
cte-418	262	5	the	the	DET
cte-418	262	6	implementation	implementation	NOUN
cte-418	262	7	of	of	ADP
cte-418	262	8	the	the	DET
cte-418	262	9	individual	individual	ADJ
cte-418	262	10	approach	approach	NOUN
cte-418	262	11	to	to	ADP
cte-418	262	12	the	the	DET
cte-418	262	13	development	development	NOUN
cte-418	262	14	of	of	ADP
cte-418	262	15	the	the	DET
cte-418	262	16	spatial	spatial	ADJ
cte-418	262	17	imagination	imagination	NOUN
cte-418	262	18	,	,	PUNCT
cte-418	262	19	taking	take	VERB
cte-418	262	20	into	into	ADP
cte-418	262	21	account	account	NOUN
cte-418	262	22	individual	individual	ADJ
cte-418	262	23	peculiarities	peculiarity	NOUN
cte-418	262	24	,	,	PUNCT
cte-418	262	25	gradually	gradually	ADV
cte-418	262	26	complicating	complicate	VERB
cte-418	262	27	the	the	DET
cte-418	262	28	task	task	NOUN
cte-418	262	29	,	,	PUNCT
cte-418	262	30	supplementing	supplement	VERB
cte-418	262	31	the	the	DET
cte-418	262	32	teaching	teaching	NOUN
cte-418	262	33	material	material	NOUN
cte-418	262	34	with	with	ADP
cte-418	262	35	visual	visual	ADJ
cte-418	262	36	aids	aids	PROPN
cte-418	262	37	,	,	PUNCT
cte-418	262	38	focusing	focus	VERB
cte-418	262	39	on	on	ADP
cte-418	262	40	the	the	DET
cte-418	262	41	practical	practical	ADJ
cte-418	262	42	application	application	NOUN
cte-418	262	43	of	of	ADP
cte-418	262	44	knowledge	knowledge	NOUN
cte-418	262	45	.	.	PUNCT
cte-418	263	1	actions	action	NOUN
cte-418	263	2	with	with	ADP
cte-418	263	3	the	the	DET
cte-418	263	4	models	model	NOUN
cte-418	263	5	created	create	VERB
cte-418	263	6	with	with	ADP
cte-418	263	7	geogebra	geogebra	NOUN
cte-418	263	8	serve	serve	VERB
cte-418	263	9	as	as	ADP
cte-418	263	10	an	an	DET
cte-418	263	11	intermediate	intermediate	ADJ
cte-418	263	12	link	link	NOUN
cte-418	263	13	between	between	ADP
cte-418	263	14	external	external	ADJ
cte-418	263	15	actions	action	NOUN
cte-418	263	16	with	with	ADP
cte-418	263	17	geometrical	geometrical	ADJ
cte-418	263	18	solid	solid	ADJ
cte-418	263	19	shapes	shape	NOUN
cte-418	263	20	and	and	CCONJ
cte-418	263	21	internal	internal	ADJ
cte-418	263	22	mental	mental	ADJ
cte-418	263	23	processes	process	NOUN
cte-418	263	24	.	.	PUNCT
cte-418	264	1	thinking	thinking	NOUN
cte-418	264	2	must	must	AUX
cte-418	264	3	precede	precede	VERB
cte-418	264	4	the	the	DET
cte-418	264	5	external	external	ADJ
cte-418	264	6	ones	one	NOUN
cte-418	264	7	to	to	PART
cte-418	264	8	engage	engage	VERB
cte-418	264	9	and	and	CCONJ
cte-418	264	10	develop	develop	VERB
cte-418	264	11	a	a	DET
cte-418	264	12	person	person	NOUN
cte-418	264	13	’s	’s	PART
cte-418	264	14	imagination	imagination	NOUN
cte-418	264	15	.	.	PUNCT
cte-418	265	1	3	3	X
cte-418	265	2	.	.	X
cte-418	265	3	in	in	ADP
cte-418	265	4	order	order	NOUN
cte-418	265	5	to	to	PART
cte-418	265	6	increase	increase	VERB
cte-418	265	7	the	the	DET
cte-418	265	8	efficiency	efficiency	NOUN
cte-418	265	9	of	of	ADP
cte-418	265	10	the	the	DET
cte-418	265	11	perception	perception	NOUN
cte-418	265	12	and	and	CCONJ
cte-418	265	13	assimilation	assimilation	NOUN
cte-418	265	14	of	of	ADP
cte-418	265	15	stereometric	stereometric	ADJ
cte-418	265	16	material	material	NOUN
cte-418	265	17	,	,	PUNCT
cte-418	265	18	to	to	PART
cte-418	265	19	overcome	overcome	VERB
cte-418	265	20	the	the	DET
cte-418	265	21	difficulties	difficulty	NOUN
cte-418	265	22	in	in	ADP
cte-418	265	23	transcoding	transcode	VERB
cte-418	265	24	the	the	DET
cte-418	265	25	symbols	symbol	NOUN
cte-418	265	26	of	of	ADP
cte-418	265	27	a	a	DET
cte-418	265	28	spatial	spatial	ADJ
cte-418	265	29	body	body	NOUN
cte-418	265	30	and	and	CCONJ
cte-418	265	31	to	to	PART
cte-418	265	32	create	create	VERB
cte-418	265	33	an	an	DET
cte-418	265	34	adequate	adequate	ADJ
cte-418	265	35	spatial	spatial	ADJ
cte-418	265	36	image	image	NOUN
cte-418	265	37	,	,	PUNCT
cte-418	265	38	it	it	PRON
cte-418	265	39	is	be	AUX
cte-418	265	40	necessary	necessary	ADJ
cte-418	265	41	to	to	PART
cte-418	265	42	supplement	supplement	VERB
cte-418	265	43	the	the	DET
cte-418	265	44	theoretical	theoretical	ADJ
cte-418	265	45	material	material	NOUN
cte-418	265	46	with	with	ADP
cte-418	265	47	multimedia	multimedia	NOUN
cte-418	265	48	demonstration	demonstration	NOUN
cte-418	265	49	models	model	NOUN
cte-418	265	50	created	create	VERB
cte-418	265	51	by	by	ADP
cte-418	265	52	the	the	DET
cte-418	265	53	means	mean	NOUN
cte-418	265	54	of	of	ADP
cte-418	265	55	ict	ict	PROPN
cte-418	265	56	,	,	PUNCT
cte-418	265	57	to	to	PART
cte-418	265	58	encourage	encourage	VERB
cte-418	265	59	students	student	NOUN
cte-418	265	60	and	and	CCONJ
cte-418	265	61	to	to	PART
cte-418	265	62	engage	engage	VERB
cte-418	265	63	them	they	PRON
cte-418	265	64	in	in	ADP
cte-418	265	65	the	the	DET
cte-418	265	66	process	process	NOUN
cte-418	265	67	of	of	ADP
cte-418	265	68	creating	create	VERB
cte-418	265	69	such	such	ADJ
cte-418	265	70	models	model	NOUN
cte-418	265	71	for	for	ADP
cte-418	265	72	classes	class	NOUN
cte-418	265	73	independently	independently	ADV
cte-418	265	74	.	.	PUNCT
cte-418	266	1	after	after	ADV
cte-418	266	2	all	all	ADV
cte-418	266	3	,	,	PUNCT
cte-418	266	4	the	the	DET
cte-418	266	5	acquisition	acquisition	NOUN
cte-418	266	6	of	of	ADP
cte-418	266	7	mathematical	mathematical	ADJ
cte-418	266	8	competence	competence	NOUN
cte-418	266	9	depends	depend	VERB
cte-418	266	10	not	not	PART
cte-418	266	11	on	on	ADP
cte-418	266	12	memory	memory	NOUN
cte-418	266	13	,	,	PUNCT
cte-418	266	14	but	but	CCONJ
cte-418	266	15	on	on	ADP
cte-418	266	16	the	the	DET
cte-418	266	17	activity	activity	NOUN
cte-418	266	18	in	in	ADP
cte-418	266	19	which	which	PRON
cte-418	266	20	the	the	DET
cte-418	266	21	person	person	NOUN
cte-418	266	22	is	be	AUX
cte-418	266	23	involved	involve	VERB
cte-418	266	24	,	,	PUNCT
cte-418	266	25	on	on	ADP
cte-418	266	26	the	the	DET
cte-418	266	27	system	system	NOUN
cte-418	266	28	of	of	ADP
cte-418	266	29	mental	mental	ADJ
cte-418	266	30	operations	operation	NOUN
cte-418	266	31	that	that	SCONJ
cte-418	266	32	they	they	PRON
cte-418	266	33	perform	perform	VERB
cte-418	266	34	in	in	ADP
cte-418	266	35	the	the	DET
cte-418	266	36	process	process	NOUN
cte-418	266	37	of	of	ADP
cte-418	266	38	knowledge	knowledge	NOUN
cte-418	266	39	acquisition	acquisition	NOUN
cte-418	266	40	.	.	PUNCT
cte-418	267	1	716	716	NUM
cte-418	267	2	cte	cte	NOUN
cte-418	267	3	workshop	workshop	NOUN
cte-418	267	4	proceedings	proceeding	NOUN
cte-418	267	5	,	,	PUNCT
cte-418	267	6	2020	2020	NUM
cte-418	267	7	,	,	PUNCT
cte-418	267	8	vol	vol	NOUN
cte-418	267	9	.	.	PUNCT
cte-418	267	10	7	7	NUM
cte-418	267	11	:	:	PUNCT
cte-418	267	12	cte-2019	cte-2019	NOUN
cte-418	267	13	,	,	PUNCT
cte-418	267	14	pp	pp	ADV
cte-418	267	15	.	.	PUNCT
cte-418	268	1	705	705	NUM
cte-418	268	2	-	-	SYM
cte-418	268	3	718	718	NUM
cte-418	268	4	4	4	NUM
cte-418	268	5	.	.	PUNCT
cte-418	269	1	in	in	ADP
cte-418	269	2	general	general	ADJ
cte-418	269	3	,	,	PUNCT
cte-418	269	4	the	the	DET
cte-418	269	5	result	result	NOUN
cte-418	269	6	of	of	ADP
cte-418	269	7	the	the	DET
cte-418	269	8	research	research	NOUN
cte-418	269	9	study	study	NOUN
cte-418	269	10	is	be	AUX
cte-418	269	11	the	the	DET
cte-418	269	12	improvement	improvement	NOUN
cte-418	269	13	of	of	ADP
cte-418	269	14	teaching	teaching	NOUN
cte-418	269	15	methods	method	NOUN
cte-418	269	16	of	of	ADP
cte-418	269	17	mathematics	mathematic	NOUN
cte-418	269	18	via	via	ADP
cte-418	269	19	the	the	DET
cte-418	269	20	use	use	NOUN
cte-418	269	21	of	of	ADP
cte-418	269	22	cloud	cloud	NOUN
cte-418	269	23	technologies	technology	NOUN
cte-418	269	24	,	,	PUNCT
cte-418	269	25	the	the	DET
cte-418	269	26	implementation	implementation	NOUN
cte-418	269	27	in	in	ADP
cte-418	269	28	the	the	DET
cte-418	269	29	educational	educational	ADJ
cte-418	269	30	process	process	NOUN
cte-418	269	31	of	of	ADP
cte-418	269	32	methodological	methodological	ADJ
cte-418	269	33	materials	material	NOUN
cte-418	269	34	of	of	ADP
cte-418	269	35	pedagogically	pedagogically	ADV
cte-418	269	36	balanced	balanced	ADJ
cte-418	269	37	and	and	CCONJ
cte-418	269	38	appropriate	appropriate	ADJ
cte-418	269	39	blending	blending	NOUN
cte-418	269	40	of	of	ADP
cte-418	269	41	traditional	traditional	ADJ
cte-418	269	42	and	and	CCONJ
cte-418	269	43	innovative	innovative	ADJ
cte-418	269	44	learning	learning	NOUN
cte-418	269	45	tools	tool	NOUN
cte-418	269	46	,	,	PUNCT
cte-418	269	47	which	which	PRON
cte-418	269	48	contribute	contribute	VERB
cte-418	269	49	to	to	ADP
cte-418	269	50	the	the	DET
cte-418	269	51	intensification	intensification	NOUN
cte-418	269	52	of	of	ADP
cte-418	269	53	teachers	teacher	NOUN
cte-418	269	54	’	'	PUNCT
cte-418	269	55	readiness	readiness	NOUN
cte-418	269	56	for	for	ADP
cte-418	269	57	the	the	DET
cte-418	269	58	use	use	NOUN
cte-418	269	59	of	of	ADP
cte-418	269	60	stem	stem	NOUN
cte-418	269	61	training	training	NOUN
cte-418	269	62	in	in	ADP
cte-418	269	63	teaching	teaching	NOUN
cte-418	269	64	.	.	PUNCT
cte-418	270	1	in	in	ADP
cte-418	270	2	the	the	DET
cte-418	270	3	future	future	NOUN
cte-418	270	4	,	,	PUNCT
cte-418	270	5	it	it	PRON
cte-418	270	6	is	be	AUX
cte-418	270	7	necessary	necessary	ADJ
cte-418	270	8	to	to	PART
cte-418	270	9	explore	explore	VERB
cte-418	270	10	the	the	DET
cte-418	270	11	conditions	condition	NOUN
cte-418	270	12	for	for	ADP
cte-418	270	13	the	the	DET
cte-418	270	14	effective	effective	ADJ
cte-418	270	15	use	use	NOUN
cte-418	270	16	of	of	ADP
cte-418	270	17	other	other	ADJ
cte-418	270	18	geogebra	geogebra	NOUN
cte-418	270	19	mobile	mobile	NOUN
cte-418	270	20	applications	application	NOUN
cte-418	270	21	in	in	ADP
cte-418	270	22	stem	stem	NOUN
cte-418	270	23	learning	learning	NOUN
cte-418	270	24	.	.	PUNCT
cte-418	271	1	references	reference	NOUN
cte-418	271	2	1	1	NUM
cte-418	271	3	.	.	PUNCT
cte-418	271	4	astafieva	astafieva	PROPN
cte-418	271	5	,	,	PUNCT
cte-418	271	6	m.m	m.m	PROPN
cte-418	271	7	.	.	PROPN
cte-418	271	8	,	,	PUNCT
cte-418	271	9	zhyltsov	zhyltsov	PROPN
cte-418	271	10	,	,	PUNCT
cte-418	271	11	o.b	o.b	PROPN
cte-418	271	12	.	.	PROPN
cte-418	271	13	,	,	PUNCT
cte-418	271	14	proshkin	proshkin	NOUN
cte-418	271	15	,	,	PUNCT
cte-418	271	16	v.v	v.v	PROPN
cte-418	271	17	.	.	PROPN
cte-418	271	18	,	,	PUNCT
cte-418	271	19	lytvyn	lytvyn	PROPN
cte-418	271	20	,	,	PUNCT
cte-418	271	21	o.s	o.s	PROPN
cte-418	271	22	.	.	PUNCT
cte-418	271	23	:	:	PUNCT
cte-418	272	1	e	e	X
cte-418	272	2	-	-	PUNCT
cte-418	272	3	learning	learn	VERB
cte-418	272	4	as	as	ADP
cte-418	272	5	a	a	DET
cte-418	272	6	mean	mean	NOUN
cte-418	272	7	of	of	ADP
cte-418	272	8	forming	form	VERB
cte-418	272	9	students	student	NOUN
cte-418	272	10	’	'	PUNCT
cte-418	272	11	mathematical	mathematical	ADJ
cte-418	272	12	competence	competence	NOUN
cte-418	272	13	in	in	ADP
cte-418	272	14	a	a	DET
cte-418	272	15	research	research	NOUN
cte-418	272	16	-	-	PUNCT
cte-418	272	17	oriented	orient	VERB
cte-418	272	18	educational	educational	ADJ
cte-418	272	19	process	process	NOUN
cte-418	272	20	.	.	PUNCT
cte-418	273	1	in	in	ADP
cte-418	273	2	:	:	PUNCT
cte-418	273	3	kiv	kiv	PROPN
cte-418	273	4	,	,	PUNCT
cte-418	273	5	a.e	a.e	PROPN
cte-418	273	6	.	.	PROPN
cte-418	273	7	,	,	PUNCT
cte-418	273	8	shyshkina	shyshkina	PROPN
cte-418	273	9	,	,	PUNCT
cte-418	273	10	m.p	m.p	PROPN
cte-418	273	11	.	.	PROPN
cte-418	273	12	(	(	PUNCT
cte-418	273	13	eds	ed	NOUN
cte-418	273	14	.	.	PUNCT
cte-418	273	15	)	)	PUNCT
cte-418	273	16	proceedings	proceeding	NOUN
cte-418	273	17	of	of	ADP
cte-418	273	18	the	the	DET
cte-418	273	19	7th	7th	ADJ
cte-418	273	20	workshop	workshop	NOUN
cte-418	273	21	on	on	ADP
cte-418	273	22	cloud	cloud	NOUN
cte-418	273	23	technologies	technology	NOUN
cte-418	273	24	in	in	ADP
cte-418	273	25	education	education	NOUN
cte-418	273	26	(	(	PUNCT
cte-418	273	27	cte	cte	NOUN
cte-418	273	28	2019	2019	NUM
cte-418	273	29	)	)	PUNCT
cte-418	273	30	,	,	PUNCT
cte-418	273	31	kryvyi	kryvyi	PROPN
cte-418	273	32	rih	rih	VERB
cte-418	273	33	,	,	PUNCT
cte-418	273	34	ukraine	ukraine	NOUN
cte-418	273	35	,	,	PUNCT
cte-418	273	36	december	december	PROPN
cte-418	273	37	20	20	NUM
cte-418	273	38	,	,	PUNCT
cte-418	273	39	2019	2019	NUM
cte-418	273	40	,	,	PUNCT
cte-418	273	41	ceur-ws.org	ceur-ws.org	PROPN
cte-418	273	42	,	,	PUNCT
cte-418	273	43	online	online	INTJ
cte-418	273	44	(	(	PUNCT
cte-418	273	45	2020	2020	NUM
cte-418	273	46	,	,	PUNCT
cte-418	273	47	in	in	ADP
cte-418	273	48	press	press	NOUN
cte-418	273	49	)	)	PUNCT
cte-418	273	50	2	2	NUM
cte-418	273	51	.	.	X
cte-418	273	52	bevz	bevz	NOUN
cte-418	273	53	,	,	PUNCT
cte-418	273	54	h.p	h.p	PROPN
cte-418	273	55	.	.	PROPN
cte-418	273	56	,	,	PUNCT
cte-418	273	57	bevz	bevz	NOUN
cte-418	273	58	,	,	PUNCT
cte-418	273	59	v.h	v.h	PROPN
cte-418	273	60	.	.	PROPN
cte-418	273	61	,	,	PUNCT
cte-418	273	62	vladimirova	vladimirova	PROPN
cte-418	273	63	,	,	PUNCT
cte-418	273	64	n.h	n.h	PROPN
cte-418	273	65	.	.	PROPN
cte-418	273	66	,	,	PUNCT
cte-418	273	67	vladimirov	vladimirov	PROPN
cte-418	273	68	,	,	PUNCT
cte-418	273	69	v.m	v.m	PROPN
cte-418	273	70	.	.	PUNCT
cte-418	273	71	:	:	PUNCT
cte-418	274	1	geometry	geometry	NOUN
cte-418	274	2	11	11	NUM
cte-418	274	3	grade	grade	NOUN
cte-418	274	4	.	.	PUNCT
cte-418	275	1	geneza	geneza	PROPN
cte-418	275	2	,	,	PUNCT
cte-418	275	3	kyiv	kyiv	ADJ
cte-418	275	4	(	(	PUNCT
cte-418	275	5	2011	2011	NUM
cte-418	275	6	)	)	PUNCT
cte-418	275	7	3	3	NUM
cte-418	275	8	.	.	PUNCT
cte-418	276	1	council	council	NOUN
cte-418	276	2	recommendation	recommendation	NOUN
cte-418	276	3	of	of	ADP
cte-418	276	4	22	22	NUM
cte-418	276	5	may	may	PROPN
cte-418	276	6	2018	2018	NUM
cte-418	276	7	on	on	ADP
cte-418	276	8	key	key	ADJ
cte-418	276	9	competences	competence	NOUN
cte-418	276	10	for	for	ADP
cte-418	276	11	lifelong	lifelong	ADJ
cte-418	276	12	learning	learning	NOUN
cte-418	276	13	(	(	PUNCT
cte-418	276	14	text	text	NOUN
cte-418	276	15	with	with	ADP
cte-418	276	16	eea	eea	PROPN
cte-418	276	17	relevance	relevance	NOUN
cte-418	276	18	)	)	PUNCT
cte-418	276	19	.	.	PUNCT
cte-418	277	1	the	the	DET
cte-418	277	2	council	council	PROPN
cte-418	277	3	of	of	ADP
cte-418	277	4	the	the	DET
cte-418	277	5	european	european	PROPN
cte-418	277	6	union	union	PROPN
cte-418	277	7	,	,	PUNCT
cte-418	277	8	official	official	ADJ
cte-418	277	9	journal	journal	NOUN
cte-418	277	10	of	of	ADP
cte-418	277	11	the	the	DET
cte-418	277	12	european	european	PROPN
cte-418	277	13	union	union	PROPN
cte-418	277	14	.	.	PUNCT
cte-418	278	1	–	–	PUNCT
cte-418	278	2	c	c	NOUN
cte-418	278	3	189	189	NUM
cte-418	278	4	–	–	PUNCT
cte-418	278	5	p.	p.	PROPN
cte-418	278	6	c1	c1	PROPN
cte-418	278	7	-	-	PUNCT
cte-418	278	8	13	13	NUM
cte-418	278	9	.	.	PUNCT
cte-418	278	10	–	–	PUNCT
cte-418	279	1	4.6.2018	4.6.2018	X
cte-418	279	2	.	.	PUNCT
cte-418	280	1	https://eur-lex.europa.eu/legalcontent/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	https://eur-lex.europa.eu/legalcontent/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	NUM
cte-418	280	2	(	(	PUNCT
cte-418	280	3	2018	2018	NUM
cte-418	280	4	)	)	PUNCT
cte-418	280	5	.	.	PUNCT
cte-418	281	1	accessed	access	VERB
cte-418	281	2	25	25	NUM
cte-418	281	3	oct	oct	NOUN
cte-418	281	4	2019	2019	NUM
cte-418	281	5	4	4	NUM
cte-418	281	6	.	.	PUNCT
cte-418	282	1	diković	diković	PROPN
cte-418	282	2	,	,	PUNCT
cte-418	282	3	l.	l.	PROPN
cte-418	282	4	:	:	PUNCT
cte-418	282	5	applications	application	NOUN
cte-418	282	6	geogebra	geogebra	NOUN
cte-418	282	7	into	into	ADP
cte-418	282	8	teaching	teach	VERB
cte-418	282	9	some	some	DET
cte-418	282	10	topics	topic	NOUN
cte-418	282	11	of	of	ADP
cte-418	282	12	mathematics	mathematic	NOUN
cte-418	282	13	at	at	ADP
cte-418	282	14	the	the	DET
cte-418	282	15	college	college	NOUN
cte-418	282	16	level	level	NOUN
cte-418	282	17	.	.	PUNCT
cte-418	283	1	computer	computer	NOUN
cte-418	283	2	science	science	NOUN
cte-418	283	3	and	and	CCONJ
cte-418	283	4	information	information	NOUN
cte-418	283	5	systems	system	NOUN
cte-418	283	6	6(2	6(2	NUM
cte-418	283	7	)	)	PUNCT
cte-418	283	8	,	,	PUNCT
cte-418	283	9	191–203(2009	191–203(2009	NUM
cte-418	283	10	)	)	PUNCT
cte-418	283	11	.	.	PUNCT
cte-418	284	1	doi:10.2298	doi:10.2298	PROPN
cte-418	284	2	/	/	SYM
cte-418	285	1	csis0902191d	csis0902191d	VERB
cte-418	285	2	5	5	X
cte-418	285	3	.	.	PUNCT
cte-418	285	4	e.	e.	PROPN
cte-418	285	5	velikova	velikova	PROPN
cte-418	285	6	,	,	PUNCT
cte-418	285	7	m.	m.	NOUN
cte-418	285	8	petkova	petkova	AUX
cte-418	285	9	:	:	PUNCT
cte-418	285	10	analysing	analyse	VERB
cte-418	285	11	students	student	NOUN
cte-418	285	12	’	'	PUNCT
cte-418	285	13	creativity	creativity	NOUN
cte-418	285	14	in	in	ADP
cte-418	285	15	integrating	integrate	VERB
cte-418	285	16	geogebra	geogebra	NOUN
cte-418	285	17	applets	applet	NOUN
cte-418	285	18	in	in	ADP
cte-418	285	19	solving	solve	VERB
cte-418	285	20	geometrical	geometrical	ADJ
cte-418	285	21	problems	problem	NOUN
cte-418	285	22	.	.	PUNCT
cte-418	286	1	baltic	baltic	PROPN
cte-418	286	2	j.	j.	PROPN
cte-418	286	3	modern	modern	PROPN
cte-418	286	4	computing	computing	PROPN
cte-418	286	5	7(3	7(3	NUM
cte-418	286	6	)	)	PUNCT
cte-418	286	7	,	,	PUNCT
cte-418	286	8	419–429	419–429	NUM
cte-418	286	9	(	(	PUNCT
cte-418	286	10	2019	2019	NUM
cte-418	286	11	)	)	PUNCT
cte-418	286	12	.	.	PUNCT
cte-418	287	1	doi:10.22364	doi:10.22364	PROPN
cte-418	287	2	/	/	SYM
cte-418	287	3	bjmc.2019.7.3.08	bjmc.2019.7.3.08	PROPN
cte-418	287	4	6	6	NUM
cte-418	287	5	.	.	PUNCT
cte-418	287	6	fariha	fariha	PROPN
cte-418	287	7	,	,	PUNCT
cte-418	287	8	n.f	n.f	PROPN
cte-418	287	9	.	.	PROPN
cte-418	287	10	,	,	PUNCT
cte-418	287	11	lestari	lestari	PROPN
cte-418	287	12	,	,	PUNCT
cte-418	287	13	h.p	h.p	PROPN
cte-418	287	14	.	.	PROPN
cte-418	287	15	:	:	PUNCT
cte-418	288	1	construction	construction	NOUN
cte-418	288	2	of	of	ADP
cte-418	288	3	dandelin	dandelin	PROPN
cte-418	288	4	sphere	sphere	ADV
cte-418	288	5	on	on	ADP
cte-418	288	6	definition	definition	NOUN
cte-418	288	7	of	of	ADP
cte-418	288	8	conics	conic	NOUN
cte-418	288	9	using	use	VERB
cte-418	288	10	geogebra	geogebra	NOUN
cte-418	288	11	classic	classic	ADJ
cte-418	288	12	5	5	NUM
cte-418	288	13	.	.	PUNCT
cte-418	288	14	journal	journal	PROPN
cte-418	288	15	of	of	ADP
cte-418	288	16	physics	physics	PROPN
cte-418	288	17	:	:	PUNCT
cte-418	288	18	conference	conference	NOUN
cte-418	288	19	series	series	NOUN
cte-418	288	20	1320	1320	NUM
cte-418	288	21	,	,	PUNCT
cte-418	288	22	012085	012085	NUM
cte-418	288	23	(	(	PUNCT
cte-418	288	24	2019	2019	NUM
cte-418	288	25	)	)	PUNCT
cte-418	288	26	.	.	PUNCT
cte-418	289	1	doi:10.1088/1742	doi:10.1088/1742	PROPN
cte-418	289	2	-	-	PUNCT
cte-418	289	3	6596/1320/1/012085	6596/1320/1/012085	NUM
cte-418	289	4	7	7	NUM
cte-418	289	5	.	.	PUNCT
cte-418	289	6	flehantov	flehantov	PROPN
cte-418	289	7	,	,	PUNCT
cte-418	289	8	l.	l.	PROPN
cte-418	289	9	,	,	PUNCT
cte-418	289	10	ovsiienko	ovsiienko	PROPN
cte-418	289	11	,	,	PUNCT
cte-418	289	12	yu	yu	PROPN
cte-418	289	13	.	.	PUNCT
cte-418	289	14	:	:	PUNCT
cte-418	290	1	the	the	DET
cte-418	290	2	simultaneous	simultaneous	ADJ
cte-418	290	3	use	use	NOUN
cte-418	290	4	of	of	ADP
cte-418	290	5	excel	excel	NOUN
cte-418	290	6	and	and	CCONJ
cte-418	290	7	geogebra	geogebra	NOUN
cte-418	290	8	to	to	ADP
cte-418	290	9	training	train	VERB
cte-418	290	10	the	the	DET
cte-418	290	11	basics	basic	NOUN
cte-418	290	12	of	of	ADP
cte-418	290	13	mathematical	mathematical	ADJ
cte-418	290	14	modeling	modeling	NOUN
cte-418	290	15	.	.	PUNCT
cte-418	291	1	in	in	ADP
cte-418	291	2	:	:	PUNCT
cte-418	291	3	ermolayev	ermolayev	PROPN
cte-418	291	4	,	,	PUNCT
cte-418	291	5	v.	v.	ADV
cte-418	291	6	,	,	PUNCT
cte-418	291	7	mallet	mallet	NOUN
cte-418	291	8	,	,	PUNCT
cte-418	291	9	f.	f.	PROPN
cte-418	291	10	,	,	PUNCT
cte-418	291	11	yakovyna	yakovyna	NOUN
cte-418	291	12	,	,	PUNCT
cte-418	291	13	v.	v.	PROPN
cte-418	291	14	,	,	PUNCT
cte-418	291	15	kharchenko	kharchenko	PROPN
cte-418	291	16	,	,	PUNCT
cte-418	291	17	v.	v.	ADV
cte-418	291	18	,	,	PUNCT
cte-418	291	19	kobets	kobet	NOUN
cte-418	291	20	,	,	PUNCT
cte-418	291	21	v.	v.	ADV
cte-418	291	22	,	,	PUNCT
cte-418	291	23	korniłowicz	korniłowicz	NOUN
cte-418	291	24	,	,	PUNCT
cte-418	291	25	a.	a.	NOUN
cte-418	291	26	,	,	PUNCT
cte-418	291	27	kravtsov	kravtsov	NOUN
cte-418	291	28	,	,	PUNCT
cte-418	291	29	h.	h.	NOUN
cte-418	291	30	,	,	PUNCT
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cte-418	291	32	,	,	PUNCT
cte-418	291	33	m.	m.	NOUN
cte-418	291	34	,	,	PUNCT
cte-418	291	35	semerikov	semerikov	PROPN
cte-418	291	36	,	,	PUNCT
cte-418	291	37	s.	s.	PROPN
cte-418	291	38	,	,	PUNCT
cte-418	291	39	spivakovsky	spivakovsky	NOUN
cte-418	291	40	,	,	PUNCT
cte-418	291	41	a.	a.	NOUN
cte-418	291	42	(	(	PUNCT
cte-418	291	43	eds	eds	PROPN
cte-418	291	44	.	.	PUNCT
cte-418	291	45	)	)	PUNCT
cte-418	291	46	proceedings	proceeding	NOUN
cte-418	291	47	of	of	ADP
cte-418	291	48	the	the	DET
cte-418	291	49	15th	15th	ADJ
cte-418	291	50	international	international	ADJ
cte-418	291	51	conference	conference	NOUN
cte-418	291	52	on	on	ADP
cte-418	291	53	ict	ict	PROPN
cte-418	291	54	in	in	ADP
cte-418	291	55	education	education	NOUN
cte-418	291	56	,	,	PUNCT
cte-418	291	57	research	research	NOUN
cte-418	291	58	and	and	CCONJ
cte-418	291	59	industrial	industrial	ADJ
cte-418	291	60	applications	application	NOUN
cte-418	291	61	.	.	PUNCT
cte-418	292	1	integration	integration	NOUN
cte-418	292	2	,	,	PUNCT
cte-418	292	3	harmonization	harmonization	NOUN
cte-418	292	4	and	and	CCONJ
cte-418	292	5	knowledge	knowledge	NOUN
cte-418	292	6	transfer	transfer	NOUN
cte-418	292	7	(	(	PUNCT
cte-418	292	8	icteri	icteri	PROPN
cte-418	292	9	,	,	PUNCT
cte-418	292	10	2019	2019	NUM
cte-418	292	11	)	)	PUNCT
cte-418	292	12	,	,	PUNCT
cte-418	292	13	kherson	kherson	PROPN
cte-418	292	14	,	,	PUNCT
cte-418	292	15	ukraine	ukraine	PROPN
cte-418	292	16	,	,	PUNCT
cte-418	292	17	june	june	PROPN
cte-418	292	18	12	12	NUM
cte-418	292	19	-	-	SYM
cte-418	292	20	15	15	NUM
cte-418	292	21	2019	2019	NUM
cte-418	292	22	,	,	PUNCT
cte-418	292	23	vol	vol	NOUN
cte-418	292	24	.	.	PUNCT
cte-418	292	25	ii	ii	PROPN
cte-418	292	26	:	:	PUNCT
cte-418	293	1	workshops	workshop	NOUN
cte-418	293	2	.	.	PUNCT
cte-418	294	1	ceur	ceur	NOUN
cte-418	294	2	workshop	workshop	NOUN
cte-418	294	3	proceedings	proceeding	NOUN
cte-418	294	4	2393	2393	NUM
cte-418	294	5	,	,	PUNCT
cte-418	294	6	864–879	864–879	NUM
cte-418	294	7	.	.	PUNCT
cte-418	295	1	http://ceur-ws.org/vol2393/paper_288.pdf	http://ceur-ws.org/vol2393/paper_288.pdf	ADJ
cte-418	295	2	(	(	PUNCT
cte-418	295	3	2019	2019	NUM
cte-418	295	4	)	)	PUNCT
cte-418	295	5	.	.	PUNCT
cte-418	296	1	accessed	access	VERB
cte-418	296	2	30	30	NUM
cte-418	296	3	jun	jun	PROPN
cte-418	296	4	2019	2019	NUM
cte-418	296	5	8	8	NUM
cte-418	296	6	.	.	PUNCT
cte-418	297	1	geogebra	geogebra	NOUN
cte-418	297	2	team	team	NOUN
cte-418	297	3	german	german	NOUN
cte-418	297	4	:	:	PUNCT
cte-418	297	5	learn	learn	VERB
cte-418	297	6	geogebra	geogebra	NOUN
cte-418	297	7	3d	3d	NUM
cte-418	297	8	calculator	calculator	NOUN
cte-418	297	9	.	.	PUNCT
cte-418	298	1	https://www.geogebra.org/m/awhyspvy	https://www.geogebra.org/m/awhyspvy	PROPN
cte-418	298	2	.	.	PROPN
cte-418	298	3	accessed	access	VERB
cte-418	298	4	25	25	NUM
cte-418	298	5	oct	oct	PROPN
cte-418	298	6	2019	2019	NUM
cte-418	298	7	9	9	NUM
cte-418	298	8	.	.	PUNCT
cte-418	298	9	hevko	hevko	PROPN
cte-418	298	10	,	,	PUNCT
cte-418	298	11	i.	i.	NOUN
cte-418	298	12	,	,	PUNCT
cte-418	298	13	potapchuk	potapchuk	INTJ
cte-418	298	14	,	,	PUNCT
cte-418	298	15	o.	o.	ADJ
cte-418	298	16	,	,	PUNCT
cte-418	298	17	sіtkar	sіtkar	NOUN
cte-418	298	18	,	,	PUNCT
cte-418	298	19	t.	t.	PROPN
cte-418	298	20	,	,	PUNCT
cte-418	298	21	lutsyk	lutsyk	PROPN
cte-418	298	22	,	,	PUNCT
cte-418	298	23	i.	i.	PROPN
cte-418	298	24	,	,	PUNCT
cte-418	298	25	koliasa	koliasa	PROPN
cte-418	298	26	,	,	PUNCT
cte-418	298	27	p.	p.	NOUN
cte-418	298	28	:	:	PUNCT
cte-418	298	29	formation	formation	NOUN
cte-418	298	30	of	of	ADP
cte-418	298	31	practical	practical	ADJ
cte-418	298	32	skills	skill	NOUN
cte-418	298	33	modeling	modeling	NOUN
cte-418	298	34	and	and	CCONJ
cte-418	298	35	printing	printing	NOUN
cte-418	298	36	of	of	ADP
cte-418	298	37	three	three	NUM
cte-418	298	38	-	-	PUNCT
cte-418	298	39	dimensional	dimensional	ADJ
cte-418	298	40	objects	object	NOUN
cte-418	298	41	in	in	ADP
cte-418	298	42	the	the	DET
cte-418	298	43	process	process	NOUN
cte-418	298	44	of	of	ADP
cte-418	298	45	professional	professional	ADJ
cte-418	298	46	training	training	NOUN
cte-418	298	47	of	of	ADP
cte-418	298	48	it	it	PRON
cte-418	298	49	specialists	specialist	VERB
cte-418	298	50	.	.	PUNCT
cte-418	299	1	in	in	ADP
cte-418	299	2	:	:	PUNCT
cte-418	299	3	semerikov	semerikov	PROPN
cte-418	299	4	,	,	PUNCT
cte-418	299	5	s.	s.	PROPN
cte-418	299	6	,	,	PUNCT
cte-418	299	7	chukharev	chukharev	PROPN
cte-418	299	8	,	,	PUNCT
cte-418	299	9	s.	s.	PROPN
cte-418	299	10	,	,	PUNCT
cte-418	299	11	sakhno	sakhno	NOUN
cte-418	299	12	,	,	PUNCT
cte-418	299	13	s.	s.	PROPN
cte-418	299	14	,	,	PUNCT
cte-418	299	15	striuk	striuk	NOUN
cte-418	299	16	,	,	PUNCT
cte-418	299	17	a.	a.	NOUN
cte-418	299	18	,	,	PUNCT
cte-418	299	19	osadchyi	osadchyi	PROPN
cte-418	299	20	,	,	PUNCT
cte-418	299	21	v.	v.	PROPN
cte-418	299	22	,	,	PUNCT
cte-418	299	23	solovieva	solovieva	PROPN
cte-418	299	24	,	,	PUNCT
cte-418	299	25	v.	v.	PROPN
cte-418	299	26	,	,	PUNCT
cte-418	299	27	vakaliuk	vakaliuk	NOUN
cte-418	299	28	,	,	PUNCT
cte-418	299	29	t.	t.	PROPN
cte-418	299	30	,	,	PUNCT
cte-418	299	31	nechypurenko	nechypurenko	PROPN
cte-418	299	32	,	,	PUNCT
cte-418	299	33	p.	p.	PROPN
cte-418	299	34	,	,	PUNCT
cte-418	299	35	bondarenko	bondarenko	PROPN
cte-418	299	36	,	,	PUNCT
cte-418	299	37	o.	o.	PROPN
cte-418	299	38	,	,	PUNCT
cte-418	299	39	danylchuk	danylchuk	PROPN
cte-418	299	40	,	,	PUNCT
cte-418	299	41	h.	h.	PROPN
cte-418	299	42	(	(	PUNCT
cte-418	299	43	eds	eds	PROPN
cte-418	299	44	.	.	PUNCT
cte-418	299	45	)	)	PUNCT
cte-418	300	1	the	the	DET
cte-418	300	2	international	international	ADJ
cte-418	300	3	conference	conference	NOUN
cte-418	300	4	on	on	ADP
cte-418	300	5	sustainable	sustainable	ADJ
cte-418	300	6	futures	future	NOUN
cte-418	300	7	:	:	PUNCT
cte-418	300	8	environmental	environmental	ADJ
cte-418	300	9	,	,	PUNCT
cte-418	300	10	technological	technological	ADJ
cte-418	300	11	,	,	PUNCT
cte-418	300	12	social	social	ADJ
cte-418	300	13	and	and	CCONJ
cte-418	300	14	economic	economic	ADJ
cte-418	300	15	matters	matter	NOUN
cte-418	300	16	(	(	PUNCT
cte-418	300	17	icsf	icsf	NOUN
cte-418	300	18	2020	2020	NUM
cte-418	300	19	)	)	PUNCT
cte-418	300	20	.	.	PUNCT
cte-418	301	1	kryvyi	kryvyi	PROPN
cte-418	301	2	rih	rih	VERB
cte-418	301	3	,	,	PUNCT
cte-418	301	4	ukraine	ukraine	NOUN
cte-418	301	5	,	,	PUNCT
cte-418	301	6	may	may	AUX
cte-418	301	7	20	20	NUM
cte-418	301	8	-	-	SYM
cte-418	301	9	22	22	NUM
cte-418	301	10	,	,	PUNCT
cte-418	301	11	2020	2020	NUM
cte-418	301	12	.	.	PUNCT
cte-418	302	1	e3s	e3s	PROPN
cte-418	302	2	web	web	NOUN
cte-418	302	3	of	of	ADP
cte-418	302	4	https://eur-lex.europa.eu/legal-content/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	https://eur-lex.europa.eu/legal-content/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	PROPN
cte-418	302	5	https://eur-lex.europa.eu/legal-content/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	https://eur-lex.europa.eu/legal-content/en/txt/pdf/?uri=celex:32018h0604(01)&from=en	PROPN
cte-418	302	6	cte	cte	NOUN
cte-418	302	7	workshop	workshop	NOUN
cte-418	302	8	proceedings	proceeding	NOUN
cte-418	302	9	,	,	PUNCT
cte-418	302	10	2020	2020	NUM
cte-418	302	11	,	,	PUNCT
cte-418	302	12	vol	vol	NOUN
cte-418	302	13	.	.	PUNCT
cte-418	302	14	7	7	NUM
cte-418	302	15	:	:	PUNCT
cte-418	302	16	cte-2019	cte-2019	NOUN
cte-418	302	17	,	,	PUNCT
cte-418	302	18	pp	pp	ADV
cte-418	302	19	.	.	PUNCT
cte-418	303	1	705	705	NUM
cte-418	303	2	-	-	SYM
cte-418	303	3	718	718	NUM
cte-418	303	4	717	717	NUM
cte-418	303	5	conferences	conference	NOUN
cte-418	303	6	166	166	NUM
cte-418	303	7	,	,	PUNCT
cte-418	303	8	10016	10016	NUM
cte-418	303	9	(	(	PUNCT
cte-418	303	10	2020	2020	NUM
cte-418	303	11	)	)	PUNCT
cte-418	303	12	.	.	PUNCT
cte-418	304	1	doi:10.1051	doi:10.1051	NOUN
cte-418	304	2	/	/	SYM
cte-418	304	3	e3sconf/202016610016	e3sconf/202016610016	PROPN
cte-418	304	4	10	10	NUM
cte-418	304	5	.	.	PUNCT
cte-418	305	1	hohenwarter	hohenwarter	PROPN
cte-418	305	2	,	,	PUNCT
cte-418	305	3	m.	m.	NOUN
cte-418	305	4	,	,	PUNCT
cte-418	305	5	hohenwarter	hohenwarter	PROPN
cte-418	305	6	,	,	PUNCT
cte-418	305	7	j.	j.	PROPN
cte-418	305	8	,	,	PUNCT
cte-418	305	9	kreis	kreis	PROPN
cte-418	305	10	,	,	PUNCT
cte-418	305	11	y.	y.	PROPN
cte-418	305	12	,	,	PUNCT
cte-418	305	13	lavicza	lavicza	PROPN
cte-418	305	14	,	,	PUNCT
cte-418	305	15	z.	z.	PROPN
cte-418	305	16	:	:	PUNCT
cte-418	305	17	teaching	teaching	NOUN
cte-418	305	18	and	and	CCONJ
cte-418	305	19	learning	learn	VERB
cte-418	305	20	calculus	calculus	NOUN
cte-418	305	21	with	with	ADP
cte-418	305	22	free	free	ADJ
cte-418	305	23	dynamic	dynamic	ADJ
cte-418	305	24	mathematics	mathematic	NOUN
cte-418	305	25	software	software	NOUN
cte-418	305	26	geogebra	geogebra	NOUN
cte-418	305	27	.	.	PUNCT
cte-418	306	1	in	in	ADP
cte-418	306	2	:	:	PUNCT
cte-418	306	3	icme	icme	NOUN
cte-418	306	4	11	11	NUM
cte-418	306	5	–	–	PUNCT
cte-418	306	6	11th	11th	ADJ
cte-418	306	7	international	international	ADJ
cte-418	306	8	congress	congress	PROPN
cte-418	306	9	on	on	ADP
cte-418	306	10	mathematical	mathematical	ADJ
cte-418	306	11	education	education	NOUN
cte-418	306	12	.	.	PUNCT
cte-418	307	1	monterrey	monterrey	PROPN
cte-418	307	2	,	,	PUNCT
cte-418	307	3	nuevo	nuevo	PROPN
cte-418	307	4	leon	leon	PROPN
cte-418	307	5	,	,	PUNCT
cte-418	307	6	mexico	mexico	PROPN
cte-418	307	7	(	(	PUNCT
cte-418	307	8	2008	2008	NUM
cte-418	307	9	)	)	PUNCT
cte-418	307	10	11	11	NUM
cte-418	307	11	.	.	PUNCT
cte-418	308	1	hohenwarter	hohenwarter	PROPN
cte-418	308	2	,	,	PUNCT
cte-418	308	3	m.	m.	NOUN
cte-418	308	4	:	:	PUNCT
cte-418	308	5	geogebra	geogebra	NOUN
cte-418	308	6	quickstart	quickstart	PROPN
cte-418	308	7	.	.	PUNCT
cte-418	309	1	check	check	VERB
cte-418	309	2	-	-	PUNCT
cte-418	309	3	as	as	SCONJ
cte-418	309	4	-	-	PUNCT
cte-418	309	5	you	you	PRON
cte-418	309	6	-	-	PUNCT
cte-418	309	7	go	go	VERB
cte-418	309	8	geogebra	geogebra	NOUN
cte-418	309	9	tutorials	tutorial	NOUN
cte-418	309	10	.	.	PUNCT
cte-418	310	1	https://www.geogebra.org/m/ebm5wbw5	https://www.geogebra.org/m/ebm5wbw5	PROPN
cte-418	310	2	.	.	PUNCT
cte-418	311	1	accessed	access	VERB
cte-418	311	2	29	29	NUM
cte-418	311	3	nov	nov	PROPN
cte-418	311	4	2019	2019	NUM
cte-418	311	5	12	12	NUM
cte-418	311	6	.	.	PUNCT
cte-418	312	1	kramarenko	kramarenko	PROPN
cte-418	312	2	,	,	PUNCT
cte-418	312	3	t.h	t.h	PROPN
cte-418	312	4	.	.	PROPN
cte-418	312	5	,	,	PUNCT
cte-418	312	6	korolsky	korolsky	PROPN
cte-418	312	7	,	,	PUNCT
cte-418	312	8	v.v	v.v	PROPN
cte-418	312	9	.	.	PROPN
cte-418	312	10	,	,	PUNCT
cte-418	312	11	semerikov	semerikov	PROPN
cte-418	312	12	,	,	PUNCT
cte-418	312	13	s.o	s.o	PROPN
cte-418	312	14	.	.	PROPN
cte-418	312	15	,	,	PUNCT
cte-418	312	16	shokaliuk	shokaliuk	PROPN
cte-418	312	17	,	,	PUNCT
cte-418	312	18	s.v	s.v	PROPN
cte-418	312	19	.	.	PROPN
cte-418	312	20	:	:	PUNCT
cte-418	312	21	innovatsiyni	innovatsiyni	VERB
cte-418	312	22	informatsiyno	informatsiyno	ADJ
cte-418	312	23	-	-	PUNCT
cte-418	312	24	komunikatsiyni	komunikatsiyni	ADJ
cte-418	312	25	tekhnolohii	tekhnolohii	NOUN
cte-418	312	26	navchannia	navchannia	NOUN
cte-418	312	27	matematyky	matematyky	NOUN
cte-418	312	28	(	(	PUNCT
cte-418	312	29	innovative	innovative	ADJ
cte-418	312	30	information	information	NOUN
cte-418	312	31	and	and	CCONJ
cte-418	312	32	communication	communication	NOUN
cte-418	312	33	technologies	technology	NOUN
cte-418	312	34	of	of	ADP
cte-418	312	35	mathematics	mathematic	NOUN
cte-418	312	36	teaching	teaching	NOUN
cte-418	312	37	)	)	PUNCT
cte-418	312	38	,	,	PUNCT
cte-418	312	39	2nd	2nd	ADJ
cte-418	312	40	edn	edn	PROPN
cte-418	312	41	.	.	PUNCT
cte-418	313	1	kryvyi	kryvyi	PROPN
cte-418	313	2	rih	rih	VERB
cte-418	313	3	pedagogical	pedagogical	ADJ
cte-418	313	4	university	university	NOUN
cte-418	313	5	,	,	PUNCT
cte-418	313	6	kryvyi	kryvyi	PROPN
cte-418	313	7	rih	rih	VERB
cte-418	313	8	(	(	PUNCT
cte-418	313	9	2019	2019	NUM
cte-418	313	10	)	)	PUNCT
cte-418	313	11	13	13	NUM
cte-418	313	12	.	.	PUNCT
cte-418	314	1	kramarenko	kramarenko	PROPN
cte-418	314	2	,	,	PUNCT
cte-418	314	3	t.h	t.h	PROPN
cte-418	314	4	.	.	PROPN
cte-418	314	5	,	,	PUNCT
cte-418	314	6	pylypenko	pylypenko	PROPN
cte-418	314	7	,	,	PUNCT
cte-418	314	8	o.s	o.s	PROPN
cte-418	314	9	.	.	PROPN
cte-418	314	10	,	,	PUNCT
cte-418	314	11	zaselskiy	zaselskiy	PROPN
cte-418	314	12	,	,	PUNCT
cte-418	314	13	v.i	v.i	PROPN
cte-418	314	14	.	.	PROPN
cte-418	314	15	:	:	PUNCT
cte-418	314	16	prospects	prospect	NOUN
cte-418	314	17	of	of	ADP
cte-418	314	18	using	use	VERB
cte-418	314	19	the	the	DET
cte-418	314	20	augmented	augment	VERB
cte-418	314	21	reality	reality	NOUN
cte-418	314	22	application	application	NOUN
cte-418	314	23	in	in	ADP
cte-418	314	24	stem	stem	NOUN
cte-418	314	25	based	base	VERB
cte-418	314	26	mathematics	mathematic	NOUN
cte-418	314	27	teaching	teaching	NOUN
cte-418	314	28	.	.	PUNCT
cte-418	315	1	educational	educational	ADJ
cte-418	315	2	dimension	dimension	PROPN
cte-418	315	3	53(1	53(1	PROPN
cte-418	315	4	)	)	PUNCT
cte-418	315	5	,	,	PUNCT
cte-418	315	6	199–218	199–218	NUM
cte-418	315	7	(	(	PUNCT
cte-418	315	8	2019	2019	NUM
cte-418	315	9	)	)	PUNCT
cte-418	315	10	.	.	PUNCT
cte-418	316	1	doi:10.31812	doi:10.31812	NOUN
cte-418	316	2	/	/	SYM
cte-418	316	3	educdim.v53i1.3843	educdim.v53i1.3843	PROPN
cte-418	316	4	14	14	NUM
cte-418	316	5	.	.	PUNCT
cte-418	317	1	kramarenko	kramarenko	PROPN
cte-418	317	2	,	,	PUNCT
cte-418	317	3	t.h	t.h	PROPN
cte-418	317	4	.	.	PROPN
cte-418	317	5	:	:	PUNCT
cte-418	317	6	vybrani	vybrani	PROPN
cte-418	317	7	pytannya	pytannya	NOUN
cte-418	317	8	elementarnoyi	elementarnoyi	PROPN
cte-418	317	9	matematyky	matematyky	ADJ
cte-418	317	10	z	z	PROPN
cte-418	317	11	geogebra	geogebra	NOUN
cte-418	317	12	(	(	PUNCT
cte-418	317	13	selected	select	VERB
cte-418	317	14	questions	question	NOUN
cte-418	317	15	of	of	ADP
cte-418	317	16	elementary	elementary	ADJ
cte-418	317	17	mathematics	mathematic	NOUN
cte-418	317	18	from	from	ADP
cte-418	317	19	geogebra	geogebra	NOUN
cte-418	317	20	)	)	PUNCT
cte-418	317	21	,	,	PUNCT
cte-418	317	22	https://www.geogebra.org/m/gqpk8yfu	https://www.geogebra.org/m/gqpk8yfu	PROPN
cte-418	317	23	.	.	PUNCT
cte-418	318	1	accessed	access	VERB
cte-418	318	2	28	28	NUM
cte-418	318	3	nov	nov	PROPN
cte-418	318	4	2019	2019	NUM
cte-418	318	5	15	15	NUM
cte-418	318	6	.	.	PUNCT
cte-418	319	1	lavicza	lavicza	PROPN
cte-418	319	2	,	,	PUNCT
cte-418	319	3	z.	z.	PROPN
cte-418	319	4	,	,	PUNCT
cte-418	319	5	prodromou	prodromou	PROPN
cte-418	319	6	,	,	PUNCT
cte-418	319	7	t.	t.	PROPN
cte-418	319	8	,	,	PUNCT
cte-418	319	9	fenyvesi	fenyvesi	PROPN
cte-418	319	10	,	,	PUNCT
cte-418	319	11	k.	k.	PROPN
cte-418	319	12	,	,	PUNCT
cte-418	319	13	hohenwarter	hohenwarter	PROPN
cte-418	319	14	,	,	PUNCT
cte-418	319	15	m.	m.	NOUN
cte-418	319	16	,	,	PUNCT
cte-418	319	17	juhos	juhos	PROPN
cte-418	319	18	,	,	PUNCT
cte-418	319	19	i.	i.	PROPN
cte-418	319	20	,	,	PUNCT
cte-418	319	21	koren	koren	PROPN
cte-418	319	22	,	,	PUNCT
cte-418	319	23	b.	b.	PROPN
cte-418	319	24	,	,	PUNCT
cte-418	319	25	diegomantecon	diegomantecon	PROPN
cte-418	319	26	,	,	PUNCT
cte-418	319	27	j.	j.	PROPN
cte-418	319	28	:	:	PUNCT
cte-418	319	29	integrating	integrate	VERB
cte-418	319	30	stem	stem	VERB
cte-418	319	31	related	relate	VERB
cte-418	319	32	technologies	technology	NOUN
cte-418	319	33	into	into	ADP
cte-418	319	34	mathematics	mathematic	NOUN
cte-418	319	35	education	education	NOUN
cte-418	319	36	at	at	ADP
cte-418	319	37	a	a	DET
cte-418	319	38	large	large	ADJ
cte-418	319	39	scale	scale	NOUN
cte-418	319	40	.	.	PUNCT
cte-418	320	1	international	international	ADJ
cte-418	320	2	journal	journal	NOUN
cte-418	320	3	for	for	ADP
cte-418	320	4	technology	technology	NOUN
cte-418	320	5	in	in	ADP
cte-418	320	6	mathematics	mathematics	NOUN
cte-418	320	7	education	education	NOUN
cte-418	320	8	27(1	27(1	NUM
cte-418	320	9	)	)	PUNCT
cte-418	320	10	,	,	PUNCT
cte-418	320	11	3–12	3–12	PROPN
cte-418	320	12	(	(	PUNCT
cte-418	320	13	2020	2020	NUM
cte-418	320	14	)	)	PUNCT
cte-418	320	15	16	16	NUM
cte-418	320	16	.	.	PUNCT
cte-418	321	1	lavrentieva	lavrentieva	PROPN
cte-418	321	2	,	,	PUNCT
cte-418	321	3	o.o	o.o	PROPN
cte-418	321	4	.	.	PROPN
cte-418	321	5	,	,	PUNCT
cte-418	321	6	arkhypov	arkhypov	PROPN
cte-418	321	7	,	,	PUNCT
cte-418	321	8	i.o	i.o	PROPN
cte-418	321	9	.	.	PROPN
cte-418	321	10	,	,	PUNCT
cte-418	321	11	kuchma	kuchma	PROPN
cte-418	321	12	,	,	PUNCT
cte-418	321	13	o.i	o.i	PROPN
cte-418	321	14	.	.	PROPN
cte-418	321	15	,	,	PUNCT
cte-418	321	16	uchitel	uchitel	PROPN
cte-418	321	17	,	,	PUNCT
cte-418	321	18	a.d	a.d	PROPN
cte-418	321	19	.	.	PUNCT
cte-418	321	20	:	:	PUNCT
cte-418	322	1	use	use	NOUN
cte-418	322	2	of	of	ADP
cte-418	322	3	simulators	simulator	NOUN
cte-418	322	4	together	together	ADV
cte-418	322	5	with	with	ADP
cte-418	322	6	virtual	virtual	ADJ
cte-418	322	7	and	and	CCONJ
cte-418	322	8	augmented	augment	VERB
cte-418	322	9	reality	reality	NOUN
cte-418	322	10	in	in	ADP
cte-418	322	11	the	the	DET
cte-418	322	12	system	system	NOUN
cte-418	322	13	of	of	ADP
cte-418	322	14	welders	welder	NOUN
cte-418	322	15	’	'	PUNCT
cte-418	322	16	vocational	vocational	ADJ
cte-418	322	17	training	training	NOUN
cte-418	322	18	:	:	PUNCT
cte-418	322	19	past	past	ADJ
cte-418	322	20	,	,	PUNCT
cte-418	322	21	present	present	ADJ
cte-418	322	22	,	,	PUNCT
cte-418	322	23	and	and	CCONJ
cte-418	322	24	future	future	NOUN
cte-418	322	25	.	.	PUNCT
cte-418	323	1	in	in	ADP
cte-418	323	2	:	:	PUNCT
cte-418	323	3	kiv	kiv	PROPN
cte-418	323	4	,	,	PUNCT
cte-418	323	5	a.e	a.e	PROPN
cte-418	323	6	.	.	PROPN
cte-418	323	7	,	,	PUNCT
cte-418	323	8	shyshkina	shyshkina	PROPN
cte-418	323	9	,	,	PUNCT
cte-418	323	10	m.p	m.p	PROPN
cte-418	323	11	.	.	PROPN
cte-418	323	12	(	(	PUNCT
cte-418	323	13	eds	ed	NOUN
cte-418	323	14	.	.	PUNCT
cte-418	323	15	)	)	PUNCT
cte-418	323	16	proceedings	proceeding	NOUN
cte-418	323	17	of	of	ADP
cte-418	323	18	the	the	DET
cte-418	323	19	2nd	2nd	ADJ
cte-418	323	20	international	international	ADJ
cte-418	323	21	workshop	workshop	NOUN
cte-418	323	22	on	on	ADP
cte-418	323	23	augmented	augment	VERB
cte-418	323	24	reality	reality	NOUN
cte-418	323	25	in	in	ADP
cte-418	323	26	education	education	NOUN
cte-418	323	27	(	(	PUNCT
cte-418	323	28	aredu	aredu	PROPN
cte-418	323	29	2019	2019	NUM
cte-418	323	30	)	)	PUNCT
cte-418	323	31	,	,	PUNCT
cte-418	323	32	kryvyi	kryvyi	PROPN
cte-418	323	33	rih	rih	VERB
cte-418	323	34	,	,	PUNCT
cte-418	323	35	ukraine	ukraine	NOUN
cte-418	323	36	,	,	PUNCT
cte-418	323	37	march	march	PROPN
cte-418	323	38	22	22	NUM
cte-418	323	39	,	,	PUNCT
cte-418	323	40	2019	2019	NUM
cte-418	323	41	.	.	PUNCT
cte-418	324	1	ceur	ceur	NOUN
cte-418	324	2	workshop	workshop	NOUN
cte-418	324	3	proceedings	proceeding	NOUN
cte-418	324	4	2547	2547	NUM
cte-418	324	5	,	,	PUNCT
cte-418	324	6	201–216	201–216	NUM
cte-418	324	7	.	.	PUNCT
cte-418	325	1	http://ceurws.org/vol-2547/paper15.pdf	http://ceurws.org/vol-2547/paper15.pdf	NOUN
cte-418	325	2	(	(	PUNCT
cte-418	325	3	2020	2020	NUM
cte-418	325	4	)	)	PUNCT
cte-418	325	5	.	.	PUNCT
cte-418	326	1	accessed	access	VERB
cte-418	326	2	10	10	NUM
cte-418	326	3	feb	feb	NOUN
cte-418	326	4	2020	2020	NUM
cte-418	326	5	17	17	NUM
cte-418	326	6	.	.	PUNCT
cte-418	327	1	markova	markova	PROPN
cte-418	327	2	,	,	PUNCT
cte-418	327	3	o.m	o.m	PROPN
cte-418	327	4	.	.	PUNCT
cte-418	327	5	:	:	PUNCT
cte-418	328	1	the	the	DET
cte-418	328	2	tools	tool	NOUN
cte-418	328	3	of	of	ADP
cte-418	328	4	cloud	cloud	ADJ
cte-418	328	5	technology	technology	NOUN
cte-418	328	6	for	for	ADP
cte-418	328	7	learning	learning	NOUN
cte-418	328	8	of	of	ADP
cte-418	328	9	fundamentals	fundamental	NOUN
cte-418	328	10	of	of	ADP
cte-418	328	11	mathematical	mathematical	ADJ
cte-418	328	12	informatics	informatic	NOUN
cte-418	328	13	for	for	ADP
cte-418	328	14	students	student	NOUN
cte-418	328	15	of	of	ADP
cte-418	328	16	technical	technical	ADJ
cte-418	328	17	universities	university	NOUN
cte-418	328	18	.	.	PUNCT
cte-418	329	1	in	in	ADP
cte-418	329	2	:	:	PUNCT
cte-418	329	3	semerikov	semerikov	PROPN
cte-418	329	4	,	,	PUNCT
cte-418	329	5	s.o	s.o	PROPN
cte-418	329	6	.	.	PROPN
cte-418	329	7	,	,	PUNCT
cte-418	329	8	shyshkina	shyshkina	PROPN
cte-418	329	9	,	,	PUNCT
cte-418	329	10	m.p	m.p	PROPN
cte-418	329	11	.	.	PROPN
cte-418	329	12	(	(	PUNCT
cte-418	329	13	eds	ed	NOUN
cte-418	329	14	.	.	PUNCT
cte-418	329	15	)	)	PUNCT
cte-418	329	16	proceedings	proceeding	NOUN
cte-418	329	17	of	of	ADP
cte-418	329	18	the	the	DET
cte-418	329	19	5th	5th	ADJ
cte-418	329	20	workshop	workshop	NOUN
cte-418	329	21	on	on	ADP
cte-418	329	22	cloud	cloud	NOUN
cte-418	329	23	technologies	technology	NOUN
cte-418	329	24	in	in	ADP
cte-418	329	25	education	education	NOUN
cte-418	329	26	(	(	PUNCT
cte-418	329	27	cte	cte	NOUN
cte-418	329	28	2017	2017	NUM
cte-418	329	29	)	)	PUNCT
cte-418	329	30	,	,	PUNCT
cte-418	329	31	kryvyi	kryvyi	PROPN
cte-418	329	32	rih	rih	VERB
cte-418	329	33	,	,	PUNCT
cte-418	329	34	ukraine	ukraine	NOUN
cte-418	329	35	,	,	PUNCT
cte-418	329	36	april	april	PROPN
cte-418	329	37	28	28	NUM
cte-418	329	38	,	,	PUNCT
cte-418	329	39	2017	2017	NUM
cte-418	329	40	.	.	PUNCT
cte-418	330	1	ceur	ceur	NOUN
cte-418	330	2	workshop	workshop	NOUN
cte-418	330	3	proceedings	proceeding	NOUN
cte-418	330	4	2168	2168	NUM
cte-418	330	5	,	,	PUNCT
cte-418	330	6	27–33	27–33	NUM
cte-418	330	7	.	.	PUNCT
cte-418	331	1	http://ceur-ws.org/vol-2168/paper5.pdf	http://ceur-ws.org/vol-2168/paper5.pdf	PROPN
cte-418	331	2	(	(	PUNCT
cte-418	331	3	2018	2018	NUM
cte-418	331	4	)	)	PUNCT
cte-418	331	5	.	.	PUNCT
cte-418	332	1	accessed	access	VERB
cte-418	332	2	21	21	NUM
cte-418	332	3	mar	mar	PROPN
cte-418	332	4	2019	2019	NUM
cte-418	332	5	18	18	NUM
cte-418	332	6	.	.	PUNCT
cte-418	333	1	modlo	modlo	PROPN
cte-418	333	2	,	,	PUNCT
cte-418	333	3	ye.o	ye.o	PROPN
cte-418	333	4	.	.	PROPN
cte-418	333	5	,	,	PUNCT
cte-418	333	6	semerikov	semerikov	PROPN
cte-418	333	7	,	,	PUNCT
cte-418	333	8	s.o	s.o	PROPN
cte-418	333	9	.	.	PROPN
cte-418	333	10	,	,	PUNCT
cte-418	333	11	shajda	shajda	PROPN
cte-418	333	12	,	,	PUNCT
cte-418	333	13	r.p	r.p	PROPN
cte-418	333	14	.	.	PROPN
cte-418	333	15	,	,	PUNCT
cte-418	333	16	tolmachev	tolmachev	PROPN
cte-418	333	17	,	,	PUNCT
cte-418	333	18	s.t	s.t	PROPN
cte-418	333	19	.	.	PROPN
cte-418	333	20	,	,	PUNCT
cte-418	333	21	markova	markova	PROPN
cte-418	333	22	,	,	PUNCT
cte-418	333	23	o.m	o.m	PROPN
cte-418	333	24	.	.	PROPN
cte-418	333	25	,	,	PUNCT
cte-418	333	26	nechypurenko	nechypurenko	PROPN
cte-418	333	27	,	,	PUNCT
cte-418	333	28	p.p	p.p	PROPN
cte-418	333	29	.	.	PROPN
cte-418	333	30	,	,	PUNCT
cte-418	333	31	selivanova	selivanova	PROPN
cte-418	333	32	,	,	PUNCT
cte-418	333	33	t.v	t.v	PROPN
cte-418	333	34	.	.	PUNCT
cte-418	333	35	:	:	PUNCT
cte-418	333	36	methods	method	NOUN
cte-418	333	37	of	of	ADP
cte-418	333	38	using	use	VERB
cte-418	333	39	mobile	mobile	ADJ
cte-418	333	40	internet	internet	NOUN
cte-418	333	41	devices	device	NOUN
cte-418	333	42	in	in	ADP
cte-418	333	43	the	the	DET
cte-418	333	44	formation	formation	NOUN
cte-418	333	45	of	of	ADP
cte-418	333	46	the	the	DET
cte-418	333	47	general	general	ADJ
cte-418	333	48	professional	professional	ADJ
cte-418	333	49	component	component	NOUN
cte-418	333	50	of	of	ADP
cte-418	333	51	bachelor	bachelor	NOUN
cte-418	333	52	in	in	ADP
cte-418	333	53	electromechanics	electromechanic	NOUN
cte-418	333	54	competency	competency	NOUN
cte-418	333	55	in	in	ADP
cte-418	333	56	modeling	modeling	NOUN
cte-418	333	57	of	of	ADP
cte-418	333	58	technical	technical	ADJ
cte-418	333	59	objects	object	NOUN
cte-418	333	60	.	.	PUNCT
cte-418	334	1	in	in	ADP
cte-418	334	2	:	:	PUNCT
cte-418	334	3	kiv	kiv	PROPN
cte-418	334	4	,	,	PUNCT
cte-418	334	5	a.e	a.e	PROPN
cte-418	334	6	.	.	PROPN
cte-418	334	7	,	,	PUNCT
cte-418	334	8	shyshkina	shyshkina	PROPN
cte-418	334	9	,	,	PUNCT
cte-418	334	10	m.p	m.p	PROPN
cte-418	334	11	.	.	PROPN
cte-418	334	12	(	(	PUNCT
cte-418	334	13	eds	ed	NOUN
cte-418	334	14	.	.	PUNCT
cte-418	334	15	)	)	PUNCT
cte-418	334	16	proceedings	proceeding	NOUN
cte-418	334	17	of	of	ADP
cte-418	334	18	the	the	DET
cte-418	334	19	7th	7th	ADJ
cte-418	334	20	workshop	workshop	NOUN
cte-418	334	21	on	on	ADP
cte-418	334	22	cloud	cloud	NOUN
cte-418	334	23	technologies	technology	NOUN
cte-418	334	24	in	in	ADP
cte-418	334	25	education	education	NOUN
cte-418	334	26	(	(	PUNCT
cte-418	334	27	cte	cte	NOUN
cte-418	334	28	2019	2019	NUM
cte-418	334	29	)	)	PUNCT
cte-418	334	30	,	,	PUNCT
cte-418	334	31	kryvyi	kryvyi	PROPN
cte-418	334	32	rih	rih	VERB
cte-418	334	33	,	,	PUNCT
cte-418	334	34	ukraine	ukraine	NOUN
cte-418	334	35	,	,	PUNCT
cte-418	334	36	december	december	PROPN
cte-418	334	37	20	20	NUM
cte-418	334	38	,	,	PUNCT
cte-418	334	39	2019	2019	NUM
cte-418	334	40	,	,	PUNCT
cte-418	334	41	ceur-ws.org	ceur-ws.org	PROPN
cte-418	334	42	,	,	PUNCT
cte-418	334	43	online	online	INTJ
cte-418	334	44	(	(	PUNCT
cte-418	334	45	2020	2020	NUM
cte-418	334	46	,	,	PUNCT
cte-418	334	47	in	in	ADP
cte-418	334	48	press	press	NOUN
cte-418	334	49	)	)	PUNCT
cte-418	334	50	19	19	NUM
cte-418	334	51	.	.	X
cte-418	334	52	rakov	rakov	PROPN
cte-418	334	53	,	,	PUNCT
cte-418	334	54	s.	s.	PROPN
cte-418	334	55	,	,	PUNCT
cte-418	334	56	gorokh	gorokh	NOUN
cte-418	334	57	,	,	PUNCT
cte-418	334	58	v.	v.	PROPN
cte-418	334	59	,	,	PUNCT
cte-418	334	60	osenkov	osenkov	PROPN
cte-418	334	61	,	,	PUNCT
cte-418	334	62	k.	k.	PROPN
cte-418	334	63	:	:	PUNCT
cte-418	335	1	mathematics	mathematic	NOUN
cte-418	335	2	,	,	PUNCT
cte-418	335	3	computer	computer	NOUN
cte-418	335	4	mathematical	mathematical	ADJ
cte-418	335	5	systems	system	NOUN
cte-418	335	6	,	,	PUNCT
cte-418	335	7	creativity	creativity	NOUN
cte-418	335	8	,	,	PUNCT
cte-418	335	9	art	art	NOUN
cte-418	335	10	.	.	PUNCT
cte-418	336	1	in	in	ADP
cte-418	336	2	:	:	PUNCT
cte-418	336	3	braman	braman	PROPN
cte-418	336	4	,	,	PUNCT
cte-418	336	5	j.	j.	PROPN
cte-418	336	6	,	,	PUNCT
cte-418	336	7	vincenti	vincenti	PROPN
cte-418	336	8	,	,	PUNCT
cte-418	336	9	g.	g.	PROPN
cte-418	336	10	,	,	PUNCT
cte-418	336	11	trajkovski	trajkovski	VERB
cte-418	336	12	,	,	PUNCT
cte-418	336	13	g.	g.	PROPN
cte-418	336	14	(	(	PUNCT
cte-418	336	15	eds	eds	PROPN
cte-418	336	16	.	.	PUNCT
cte-418	336	17	)	)	PUNCT
cte-418	337	1	handbook	handbook	NOUN
cte-418	337	2	of	of	ADP
cte-418	337	3	research	research	NOUN
cte-418	337	4	on	on	ADP
cte-418	337	5	computational	computational	ADJ
cte-418	337	6	arts	art	NOUN
cte-418	337	7	and	and	CCONJ
cte-418	337	8	creative	creative	ADJ
cte-418	337	9	informatics	informatic	NOUN
cte-418	337	10	,	,	PUNCT
cte-418	337	11	pp	pp	ADV
cte-418	337	12	.	.	PUNCT
cte-418	338	1	253–279	253–279	NUM
cte-418	338	2	.	.	PUNCT
cte-418	339	1	igi	igi	PROPN
cte-418	339	2	global	global	PROPN
cte-418	339	3	,	,	PUNCT
cte-418	339	4	hershey	hershey	PROPN
cte-418	339	5	(	(	PUNCT
cte-418	339	6	2009	2009	NUM
cte-418	339	7	)	)	PUNCT
cte-418	339	8	.	.	PUNCT
cte-418	340	1	doi:10.4018/978	doi:10.4018/978	NOUN
cte-418	340	2	-	-	PUNCT
cte-418	340	3	1	1	NUM
cte-418	340	4	-	-	PUNCT
cte-418	340	5	60566	60566	NUM
cte-418	340	6	-	-	PUNCT
cte-418	340	7	352	352	NUM
cte-418	340	8	-	-	PUNCT
cte-418	340	9	4.ch015	4.ch015	NUM
cte-418	340	10	20	20	NUM
cte-418	340	11	.	.	PUNCT
cte-418	341	1	rashevska	rashevska	PROPN
cte-418	341	2	,	,	PUNCT
cte-418	341	3	n.v	n.v	PROPN
cte-418	341	4	.	.	PROPN
cte-418	341	5	,	,	PUNCT
cte-418	341	6	semerikov	semerikov	PROPN
cte-418	341	7	,	,	PUNCT
cte-418	341	8	s.o	s.o	PROPN
cte-418	341	9	.	.	PROPN
cte-418	341	10	,	,	PUNCT
cte-418	341	11	slovak	slovak	PROPN
cte-418	341	12	,	,	PUNCT
cte-418	341	13	k.i	k.i	PROPN
cte-418	341	14	.	.	PUNCT
cte-418	341	15	:	:	PUNCT
cte-418	342	1	intehratsiia	intehratsiia	VERB
cte-418	342	2	systemy	systemy	PROPN
cte-418	342	3	dynamichnoi	dynamichnoi	PROPN
cte-418	342	4	heometrii	heometrii	PROPN
cte-418	342	5	geogebra	geogebra	NOUN
cte-418	342	6	v	v	ADP
cte-418	342	7	systemu	systemu	NOUN
cte-418	342	8	dystantsiinoho	dystantsiinoho	PROPN
cte-418	342	9	navchannia	navchannia	NOUN
cte-418	342	10	moodle	moodle	NOUN
cte-418	342	11	(	(	PUNCT
cte-418	342	12	integration	integration	NOUN
cte-418	342	13	of	of	ADP
cte-418	342	14	dynamic	dynamic	ADJ
cte-418	342	15	geometry	geometry	NOUN
cte-418	342	16	system	system	NOUN
cte-418	342	17	geogebra	geogebra	NOUN
cte-418	342	18	in	in	ADP
cte-418	342	19	the	the	DET
cte-418	342	20	distance	distance	NOUN
cte-418	342	21	learning	learn	VERB
cte-418	342	22	system	system	NOUN
cte-418	342	23	moodle	moodle	NOUN
cte-418	342	24	)	)	PUNCT
cte-418	342	25	.	.	PUNCT
cte-418	343	1	in	in	ADP
cte-418	343	2	:	:	PUNCT
cte-418	343	3	persha	persha	PROPN
cte-418	343	4	vseukrainska	vseukrainska	PROPN
cte-418	343	5	naukovo	naukovo	PROPN
cte-418	343	6	-	-	PUNCT
cte-418	343	7	praktychna	praktychna	NOUN
cte-418	343	8	konferentsiia	konferentsiia	VERB
cte-418	343	9	“	"	PUNCT
cte-418	343	10	moodlemoot	moodlemoot	ADJ
cte-418	343	11	ukraine	ukraine	NOUN
cte-418	343	12	2013	2013	NUM
cte-418	343	13	.	.	PUNCT
cte-418	344	1	teoriia	teoriia	ADP
cte-418	344	2	i	i	PRON
cte-418	344	3	praktyka	praktyka	PROPN
cte-418	344	4	vykorystannia	vykorystannia	PROPN
cte-418	344	5	systemy	systemy	PROPN
cte-418	344	6	upravlinnia	upravlinnia	PROPN
cte-418	344	7	navchanniam	navchanniam	PROPN
cte-418	344	8	moodle	moodle	PROPN
cte-418	344	9	”	"	PUNCT
cte-418	344	10	,	,	PUNCT
cte-418	344	11	kyiv	kyiv	ADJ
cte-418	344	12	,	,	PUNCT
cte-418	344	13	knuba	knuba	PROPN
cte-418	344	14	,	,	PUNCT
cte-418	344	15	30	30	NUM
cte-418	344	16	–	–	PUNCT
cte-418	344	17	31	31	NUM
cte-418	344	18	travnia	travnia	PROPN
cte-418	344	19	2013	2013	NUM
cte-418	344	20	r.	r.	PROPN
cte-418	344	21	)	)	PUNCT
cte-418	344	22	,	,	PUNCT
cte-418	344	23	p.	p.	NOUN
cte-418	344	24	63	63	NUM
cte-418	344	25	.	.	PUNCT
cte-418	345	1	knuba	knuba	PROPN
cte-418	345	2	,	,	PUNCT
cte-418	345	3	kyiv	kyiv	ADJ
cte-418	345	4	(	(	PUNCT
cte-418	345	5	2013	2013	NUM
cte-418	345	6	)	)	PUNCT
cte-418	345	7	21	21	NUM
cte-418	345	8	.	.	PUNCT
cte-418	346	1	richard	richard	PROPN
cte-418	346	2	,	,	PUNCT
cte-418	346	3	p.r	p.r	PROPN
cte-418	346	4	.	.	PROPN
cte-418	346	5	,	,	PUNCT
cte-418	346	6	blossier	blossier	NOUN
cte-418	346	7	,	,	PUNCT
cte-418	346	8	m.	m.	NOUN
cte-418	346	9	:	:	PUNCT
cte-418	346	10	instrumented	instrument	VERB
cte-418	346	11	modelling	modelling	NOUN
cte-418	346	12	and	and	CCONJ
cte-418	346	13	preliminary	preliminary	ADJ
cte-418	346	14	conceptions	conception	NOUN
cte-418	346	15	in	in	ADP
cte-418	346	16	threedimensional	threedimensional	ADJ
cte-418	346	17	dynamic	dynamic	ADJ
cte-418	346	18	geometry	geometry	NOUN
cte-418	346	19	with	with	ADP
cte-418	346	20	geogebra-3d	geogebra-3d	PROPN
cte-418	346	21	.	.	PUNCT
cte-418	347	1	in	in	ADP
cte-418	347	2	:	:	PUNCT
cte-418	347	3	bastiaens	bastiaen	NOUN
cte-418	347	4	,	,	PUNCT
cte-418	347	5	t.	t.	PROPN
cte-418	347	6	,	,	PUNCT
cte-418	347	7	marks	mark	NOUN
cte-418	347	8	,	,	PUNCT
cte-418	347	9	g.	g.	PROPN
cte-418	347	10	(	(	PUNCT
cte-418	347	11	eds	eds	PROPN
cte-418	347	12	.	.	PUNCT
cte-418	347	13	)	)	PUNCT
cte-418	347	14	proceedings	proceeding	NOUN
cte-418	347	15	of	of	ADP
cte-418	347	16	e	e	NOUN
cte-418	347	17	-	-	VERB
cte-418	347	18	learn	learn	VERB
cte-418	347	19	2012	2012	NUM
cte-418	347	20	–	–	PUNCT
cte-418	347	21	world	world	NOUN
cte-418	347	22	conference	conference	NOUN
cte-418	347	23	on	on	ADP
cte-418	347	24	e	e	NOUN
cte-418	347	25	-	-	NOUN
cte-418	347	26	learning	learn	VERB
cte-418	347	27	in	in	ADP
cte-418	347	28	corporate	corporate	ADJ
cte-418	347	29	,	,	PUNCT
cte-418	347	30	718	718	NUM
cte-418	347	31	cte	cte	NOUN
cte-418	347	32	workshop	workshop	NOUN
cte-418	347	33	proceedings	proceeding	NOUN
cte-418	347	34	,	,	PUNCT
cte-418	347	35	2020	2020	NUM
cte-418	347	36	,	,	PUNCT
cte-418	347	37	vol	vol	NOUN
cte-418	347	38	.	.	PUNCT
cte-418	347	39	7	7	NUM
cte-418	347	40	:	:	PUNCT
cte-418	347	41	cte-2019	cte-2019	NOUN
cte-418	347	42	,	,	PUNCT
cte-418	347	43	pp	pp	ADV
cte-418	347	44	.	.	PUNCT
cte-418	348	1	705	705	NUM
cte-418	348	2	-	-	SYM
cte-418	348	3	718	718	NUM
cte-418	348	4	government	government	NOUN
cte-418	348	5	,	,	PUNCT
cte-418	348	6	healthcare	healthcare	PROPN
cte-418	348	7	,	,	PUNCT
cte-418	348	8	and	and	CCONJ
cte-418	348	9	higher	high	ADJ
cte-418	348	10	education	education	NOUN
cte-418	348	11	1	1	NUM
cte-418	348	12	,	,	PUNCT
cte-418	348	13	pp	pp	ADJ
cte-418	348	14	.	.	PUNCT
cte-418	349	1	322–330	322–330	NUM
cte-418	349	2	.	.	PUNCT
cte-418	349	3	association	association	NOUN
cte-418	349	4	for	for	ADP
cte-418	349	5	the	the	DET
cte-418	349	6	advancement	advancement	NOUN
cte-418	349	7	of	of	ADP
cte-418	349	8	computing	compute	VERB
cte-418	349	9	in	in	ADP
cte-418	349	10	education	education	NOUN
cte-418	349	11	,	,	PUNCT
cte-418	349	12	montréal	montréal	PROPN
cte-418	349	13	,	,	PUNCT
cte-418	349	14	quebec	quebec	PROPN
cte-418	349	15	.	.	PUNCT
cte-418	350	1	https://www.learntechlib.org/primary/p/41611	https://www.learntechlib.org/primary/p/41611	PROPN
cte-418	350	2	(	(	PUNCT
cte-418	350	3	2012	2012	NUM
cte-418	350	4	)	)	PUNCT
cte-418	350	5	.	.	PUNCT
cte-418	351	1	accessed	access	VERB
cte-418	351	2	25	25	NUM
cte-418	351	3	oct	oct	PROPN
cte-418	351	4	2019	2019	NUM
cte-418	351	5	22	22	NUM
cte-418	351	6	.	.	PUNCT
cte-418	352	1	rykovskyi	rykovskyi	PROPN
cte-418	352	2	,	,	PUNCT
cte-418	352	3	m.y	m.y	PROPN
cte-418	352	4	.	.	PROPN
cte-418	352	5	:	:	PUNCT
cte-418	353	1	mykhailo	mykhailo	PROPN
cte-418	353	2	yosypovych	yosypovych	PROPN
cte-418	353	3	rykovskyi	rykovskyi	VERB
cte-418	353	4	–	–	PUNCT
cte-418	353	5	resources	resource	NOUN
cte-418	353	6	–	–	PUNCT
cte-418	353	7	geogebra	geogebra	NOUN
cte-418	353	8	.	.	PUNCT
cte-418	354	1	https://www.geogebra.org/u/mirinf	https://www.geogebra.org/u/mirinf	PROPN
cte-418	354	2	.	.	PROPN
cte-418	355	1	accessed	access	VERB
cte-418	355	2	28	28	NUM
cte-418	355	3	nov	nov	PROPN
cte-418	355	4	2019	2019	NUM
cte-418	355	5	23	23	NUM
cte-418	355	6	.	.	PUNCT
cte-418	356	1	semenikhina	semenikhina	PROPN
cte-418	356	2	,	,	PUNCT
cte-418	356	3	o.v	o.v	PROPN
cte-418	356	4	.	.	PROPN
cte-418	356	5	,	,	PUNCT
cte-418	356	6	drushliak	drushliak	PROPN
cte-418	356	7	,	,	PUNCT
cte-418	356	8	m.h	m.h	PROPN
cte-418	356	9	.	.	PROPN
cte-418	356	10	:	:	PUNCT
cte-418	356	11	geogebra	geogebra	NOUN
cte-418	356	12	5.0	5.0	NUM
cte-418	356	13	tools	tool	NOUN
cte-418	356	14	and	and	CCONJ
cte-418	356	15	their	their	PRON
cte-418	356	16	use	use	NOUN
cte-418	356	17	in	in	ADP
cte-418	356	18	solving	solve	VERB
cte-418	356	19	solid	solid	ADJ
cte-418	356	20	geometry	geometry	NOUN
cte-418	356	21	problems	problem	NOUN
cte-418	356	22	.	.	PUNCT
cte-418	357	1	information	information	NOUN
cte-418	357	2	technologies	technology	NOUN
cte-418	357	3	and	and	CCONJ
cte-418	357	4	learning	learn	VERB
cte-418	357	5	tools	tool	NOUN
cte-418	357	6	44(6	44(6	NOUN
cte-418	357	7	)	)	PUNCT
cte-418	357	8	,	,	PUNCT
cte-418	357	9	124–133	124–133	NUM
cte-418	357	10	(	(	PUNCT
cte-418	357	11	2014	2014	NUM
cte-418	357	12	)	)	PUNCT
cte-418	357	13	.	.	PUNCT
cte-418	358	1	doi:10.33407	doi:10.33407	PROPN
cte-418	358	2	/	/	SYM
cte-418	358	3	itlt.v44i6.1138	itlt.v44i6.1138	PROPN
cte-418	358	4	24	24	NUM
cte-418	358	5	.	.	PUNCT
cte-418	358	6	semenikhina	semenikhina	PROPN
cte-418	358	7	,	,	PUNCT
cte-418	358	8	o.v	o.v	PROPN
cte-418	358	9	.	.	PROPN
cte-418	358	10	:	:	PUNCT
cte-418	359	1	metodolohichni	metodolohichni	PROPN
cte-418	359	2	pidkhody	pidkhody	PROPN
cte-418	359	3	do	do	AUX
cte-418	359	4	formuvannia	formuvannia	PROPN
cte-418	359	5	profesiynoi	profesiynoi	PROPN
cte-418	359	6	hotovnosti	hotovnosti	PROPN
cte-418	359	7	vchytelia	vchytelia	PROPN
cte-418	359	8	matematyky	matematyky	PROPN
cte-418	359	9	do	do	VERB
cte-418	359	10	vykorystannia	vykorystannia	PROPN
cte-418	359	11	zasobiv	zasobiv	PROPN
cte-418	359	12	kompiuternoi	kompiuternoi	PROPN
cte-418	359	13	vizualizatsii	vizualizatsii	PROPN
cte-418	359	14	matematychnykh	matematychnykh	PROPN
cte-418	359	15	znan	znan	PROPN
cte-418	359	16	(	(	PUNCT
cte-418	359	17	methodological	methodological	ADJ
cte-418	359	18	approaches	approach	NOUN
cte-418	359	19	to	to	ADP
cte-418	359	20	the	the	DET
cte-418	359	21	formation	formation	NOUN
cte-418	359	22	of	of	ADP
cte-418	359	23	professional	professional	ADJ
cte-418	359	24	readiness	readiness	NOUN
cte-418	359	25	of	of	ADP
cte-418	359	26	mathematics	mathematic	NOUN
cte-418	359	27	teacher	teacher	NOUN
cte-418	359	28	for	for	ADP
cte-418	359	29	the	the	DET
cte-418	359	30	use	use	NOUN
cte-418	359	31	of	of	ADP
cte-418	359	32	mathematical	mathematical	ADJ
cte-418	359	33	knowledge	knowledge	NOUN
cte-418	359	34	computer	computer	NOUN
cte-418	359	35	visualization	visualization	NOUN
cte-418	359	36	tools	tool	NOUN
cte-418	359	37	)	)	PUNCT
cte-418	359	38	.	.	PUNCT
cte-418	360	1	pedahohichni	pedahohichni	PROPN
cte-418	360	2	nauky	nauky	NOUN
cte-418	360	3	:	:	PUNCT
cte-418	360	4	teoriya	teoriya	PROPN
cte-418	360	5	,	,	PUNCT
cte-418	360	6	istoriya	istoriya	PROPN
cte-418	360	7	,	,	PUNCT
cte-418	360	8	innovatsiyni	innovatsiyni	ADJ
cte-418	360	9	tekhnolohiyi	tekhnolohiyi	PROPN
cte-418	360	10	2(66	2(66	NUM
cte-418	360	11	)	)	PUNCT
cte-418	360	12	,	,	PUNCT
cte-418	360	13	129–138	129–138	NUM
cte-418	360	14	(	(	PUNCT
cte-418	360	15	2017	2017	NUM
cte-418	360	16	)	)	PUNCT
cte-418	360	17	25	25	NUM
cte-418	360	18	.	.	PUNCT
cte-418	361	1	sidoruk	sidoruk	PROPN
cte-418	361	2	,	,	PUNCT
cte-418	361	3	v.a	v.a	PROPN
cte-418	361	4	.	.	PROPN
cte-418	361	5	:	:	PUNCT
cte-418	362	1	pobudova	pobudova	PROPN
cte-418	362	2	pereriziv	pereriziv	VERB
cte-418	362	3	mnohohrannykiv	mnohohrannykiv	NOUN
cte-418	362	4	(	(	PUNCT
cte-418	362	5	construction	construction	NOUN
cte-418	362	6	of	of	ADP
cte-418	362	7	polyhedra	polyhedra	NOUN
cte-418	362	8	sections	section	NOUN
cte-418	362	9	)	)	PUNCT
cte-418	362	10	.	.	PUNCT
cte-418	363	1	https://www.geogebra.org/m/jd4va4rs	https://www.geogebra.org/m/jd4va4rs	PROPN
cte-418	363	2	.	.	PUNCT
cte-418	364	1	accessed	access	VERB
cte-418	364	2	28	28	NUM
cte-418	364	3	nov	nov	PROPN
cte-418	364	4	2019	2019	NUM
cte-418	364	5	26	26	NUM
cte-418	364	6	.	.	PUNCT
cte-418	365	1	stevens	stevens	PROPN
cte-418	365	2	,	,	PUNCT
cte-418	365	3	w.l	w.l	PROPN
cte-418	365	4	.	.	PROPN
cte-418	365	5	:	:	PUNCT
cte-418	365	6	tables	table	NOUN
cte-418	365	7	of	of	ADP
cte-418	365	8	the	the	DET
cte-418	365	9	angular	angular	ADJ
cte-418	365	10	transformation	transformation	NOUN
cte-418	365	11	.	.	PUNCT
cte-418	366	1	biometrika	biometrika	NOUN
cte-418	366	2	40(1/2	40(1/2	NUM
cte-418	366	3	)	)	PUNCT
cte-418	366	4	,	,	PUNCT
cte-418	366	5	70–73	70–73	NUM
cte-418	366	6	(	(	PUNCT
cte-418	366	7	1953	1953	NUM
cte-418	366	8	)	)	PUNCT
cte-418	366	9	.	.	PUNCT
cte-418	367	1	doi:10.2307/2333098	doi:10.2307/2333098	PUNCT
cte-418	368	1	27	27	NUM
cte-418	368	2	.	.	PUNCT
cte-418	368	3	striuk	striuk	NOUN
cte-418	368	4	,	,	PUNCT
cte-418	368	5	a.m.	a.m.	ADV
cte-418	368	6	,	,	PUNCT
cte-418	368	7	rassovytska	rassovytska	PROPN
cte-418	368	8	,	,	PUNCT
cte-418	368	9	m.v	m.v	PROPN
cte-418	368	10	.	.	PROPN
cte-418	368	11	,	,	PUNCT
cte-418	368	12	shokaliuk	shokaliuk	PROPN
cte-418	368	13	,	,	PUNCT
cte-418	368	14	s.v	s.v	PROPN
cte-418	368	15	.	.	PROPN
cte-418	368	16	:	:	PUNCT
cte-418	368	17	using	use	VERB
cte-418	368	18	blippar	blippar	NOUN
cte-418	368	19	augmented	augment	VERB
cte-418	368	20	reality	reality	NOUN
cte-418	368	21	browser	browser	NOUN
cte-418	368	22	in	in	ADP
cte-418	368	23	the	the	DET
cte-418	368	24	practical	practical	ADJ
cte-418	368	25	training	training	NOUN
cte-418	368	26	of	of	ADP
cte-418	368	27	mechanical	mechanical	ADJ
cte-418	368	28	engineers	engineer	NOUN
cte-418	368	29	.	.	PUNCT
cte-418	369	1	in	in	ADP
cte-418	369	2	:	:	PUNCT
cte-418	369	3	ermolayev	ermolayev	PROPN
cte-418	369	4	,	,	PUNCT
cte-418	369	5	v.	v.	ADV
cte-418	369	6	,	,	PUNCT
cte-418	369	7	suárezfigueroa	suárezfigueroa	PROPN
cte-418	369	8	,	,	PUNCT
cte-418	369	9	m.c	m.c	PROPN
cte-418	369	10	.	.	PROPN
cte-418	369	11	,	,	PUNCT
cte-418	369	12	yakovyna	yakovyna	PROPN
cte-418	369	13	,	,	PUNCT
cte-418	369	14	v.	v.	PROPN
cte-418	369	15	,	,	PUNCT
cte-418	369	16	kharchenko	kharchenko	PROPN
cte-418	369	17	,	,	PUNCT
cte-418	369	18	v.	v.	ADV
cte-418	369	19	,	,	PUNCT
cte-418	369	20	kobets	kobet	NOUN
cte-418	369	21	,	,	PUNCT
cte-418	369	22	v.	v.	ADV
cte-418	369	23	,	,	PUNCT
cte-418	369	24	kravtsov	kravtsov	NOUN
cte-418	369	25	,	,	PUNCT
cte-418	369	26	h.	h.	PROPN
cte-418	369	27	,	,	PUNCT
cte-418	369	28	peschanenko	peschanenko	PROPN
cte-418	369	29	,	,	PUNCT
cte-418	369	30	v.	v.	ADV
cte-418	369	31	,	,	PUNCT
cte-418	369	32	prytula	prytula	PROPN
cte-418	369	33	,	,	PUNCT
cte-418	369	34	ya	ya	PROPN
cte-418	369	35	.	.	PROPN
cte-418	369	36	,	,	PUNCT
cte-418	369	37	nikitchenko	nikitchenko	ADJ
cte-418	369	38	,	,	PUNCT
cte-418	369	39	m.	m.	NOUN
cte-418	369	40	,	,	PUNCT
cte-418	369	41	spivakovsky	spivakovsky	ADJ
cte-418	369	42	a.	a.	NOUN
cte-418	369	43	(	(	PUNCT
cte-418	369	44	eds	ed	NOUN
cte-418	369	45	.	.	PUNCT
cte-418	369	46	)	)	PUNCT
cte-418	369	47	proceedings	proceeding	NOUN
cte-418	369	48	of	of	ADP
cte-418	369	49	the	the	DET
cte-418	369	50	14th	14th	ADJ
cte-418	369	51	international	international	ADJ
cte-418	369	52	conference	conference	NOUN
cte-418	369	53	on	on	ADP
cte-418	369	54	ict	ict	PROPN
cte-418	369	55	in	in	ADP
cte-418	369	56	education	education	NOUN
cte-418	369	57	,	,	PUNCT
cte-418	369	58	research	research	NOUN
cte-418	369	59	and	and	CCONJ
cte-418	369	60	industrial	industrial	ADJ
cte-418	369	61	applications	application	NOUN
cte-418	369	62	.	.	PUNCT
cte-418	370	1	integration	integration	NOUN
cte-418	370	2	,	,	PUNCT
cte-418	370	3	harmonization	harmonization	NOUN
cte-418	370	4	and	and	CCONJ
cte-418	370	5	knowledge	knowledge	NOUN
cte-418	370	6	transfer	transfer	NOUN
cte-418	370	7	(	(	PUNCT
cte-418	370	8	icteri	icteri	PROPN
cte-418	370	9	,	,	PUNCT
cte-418	370	10	2018	2018	NUM
cte-418	370	11	)	)	PUNCT
cte-418	370	12	,	,	PUNCT
cte-418	370	13	kyiv	kyiv	ADJ
cte-418	370	14	,	,	PUNCT
cte-418	370	15	ukraine	ukraine	NOUN
cte-418	370	16	,	,	PUNCT
cte-418	370	17	1417	1417	NUM
cte-418	370	18	may	may	PROPN
cte-418	370	19	2018	2018	NUM
cte-418	370	20	,	,	PUNCT
cte-418	370	21	vol	vol	NOUN
cte-418	370	22	.	.	PUNCT
cte-418	370	23	ii	ii	PROPN
cte-418	370	24	:	:	PUNCT
cte-418	370	25	workshops	workshop	NOUN
cte-418	370	26	.	.	PUNCT
cte-418	371	1	ceur	ceur	NOUN
cte-418	371	2	workshop	workshop	NOUN
cte-418	371	3	proceedings	proceeding	NOUN
cte-418	371	4	2104	2104	NUM
cte-418	371	5	,	,	PUNCT
cte-418	371	6	412–419	412–419	NUM
cte-418	371	7	.	.	PUNCT
cte-418	372	1	http://ceur-ws.org/vol-2104/paper_223.pdf	http://ceur-ws.org/vol-2104/paper_223.pdf	NOUN
cte-418	372	2	(	(	PUNCT
cte-418	372	3	2018	2018	NUM
cte-418	372	4	)	)	PUNCT
cte-418	372	5	.	.	PUNCT
cte-418	373	1	accessed	access	VERB
cte-418	373	2	30	30	NUM
cte-418	373	3	nov	nov	PROPN
cte-418	373	4	2018	2018	NUM
cte-418	373	5	28	28	NUM
cte-418	373	6	.	.	PUNCT
cte-418	374	1	tomaschko	tomaschko	PROPN
cte-418	374	2	,	,	PUNCT
cte-418	374	3	m.	m.	NOUN
cte-418	374	4	,	,	PUNCT
cte-418	374	5	kocadere	kocadere	PROPN
cte-418	374	6	,	,	PUNCT
cte-418	374	7	s.a	s.a	PROPN
cte-418	374	8	.	.	PROPN
cte-418	374	9	,	,	PUNCT
cte-418	374	10	hohenwarter	hohenwarter	PROPN
cte-418	374	11	,	,	PUNCT
cte-418	374	12	m.	m.	NOUN
cte-418	374	13	:	:	PUNCT
cte-418	374	14	opportunities	opportunity	NOUN
cte-418	374	15	for	for	ADP
cte-418	374	16	participation	participation	NOUN
cte-418	374	17	,	,	PUNCT
cte-418	374	18	productivity	productivity	NOUN
cte-418	374	19	,	,	PUNCT
cte-418	374	20	and	and	CCONJ
cte-418	374	21	personalization	personalization	NOUN
cte-418	374	22	through	through	ADP
cte-418	374	23	geogebra	geogebra	NOUN
cte-418	374	24	mathematics	mathematics	NOUN
cte-418	374	25	apps	app	NOUN
cte-418	374	26	.	.	PUNCT
cte-418	375	1	in	in	ADP
cte-418	375	2	:	:	PUNCT
cte-418	375	3	khan	khan	PROPN
cte-418	375	4	,	,	PUNCT
cte-418	375	5	a.a	a.a	PROPN
cte-418	375	6	.	.	PROPN
cte-418	375	7	,	,	PUNCT
cte-418	375	8	umair	umair	NOUN
cte-418	375	9	,	,	PUNCT
cte-418	375	10	s.	s.	PROPN
cte-418	375	11	(	(	PUNCT
cte-418	375	12	eds	eds	PROPN
cte-418	375	13	.	.	PUNCT
cte-418	375	14	)	)	PUNCT
cte-418	375	15	handbook	handbook	NOUN
cte-418	375	16	of	of	ADP
cte-418	375	17	research	research	NOUN
cte-418	375	18	on	on	ADP
cte-418	375	19	mobile	mobile	ADJ
cte-418	375	20	devices	device	NOUN
cte-418	375	21	and	and	CCONJ
cte-418	375	22	smart	smart	ADJ
cte-418	375	23	gadgets	gadget	NOUN
cte-418	375	24	in	in	ADP
cte-418	375	25	k-12	k-12	PROPN
cte-418	375	26	education	education	NOUN
cte-418	375	27	,	,	PUNCT
cte-418	375	28	pp	pp	ADP
cte-418	375	29	.	.	PUNCT
cte-418	375	30	45–56	45–56	NUM
cte-418	375	31	.	.	PUNCT
cte-418	376	1	igi	igi	PROPN
cte-418	376	2	global	global	PROPN
cte-418	376	3	,	,	PUNCT
cte-418	376	4	hershey	hershey	PROPN
cte-418	376	5	(	(	PUNCT
cte-418	376	6	2018	2018	NUM
cte-418	376	7	)	)	PUNCT
cte-418	376	8	.	.	PUNCT
cte-418	377	1	doi:10.4018/978	doi:10.4018/978	NOUN
cte-418	377	2	-	-	PUNCT
cte-418	377	3	1	1	NUM
cte-418	377	4	-	-	PUNCT
cte-418	377	5	5225	5225	NUM
cte-418	377	6	-	-	PUNCT
cte-418	377	7	2706	2706	NUM
cte-418	377	8	-	-	PUNCT
cte-418	377	9	0.ch004	0.ch004	NOUN
cte-418	377	10	29	29	NUM
cte-418	377	11	.	.	PUNCT
cte-418	378	1	zhaldak	zhaldak	PROPN
cte-418	378	2	,	,	PUNCT
cte-418	378	3	m.i	m.i	PROPN
cte-418	378	4	.	.	PROPN
cte-418	378	5	,	,	PUNCT
cte-418	378	6	vitiuk	vitiuk	NOUN
cte-418	378	7	,	,	PUNCT
cte-418	378	8	o.v	o.v	PROPN
cte-418	378	9	.	.	PROPN
cte-418	378	10	:	:	PUNCT
cte-418	378	11	kompiuter	kompiuter	PROPN
cte-418	378	12	na	na	PROPN
cte-418	378	13	urokakh	urokakh	PROPN
cte-418	378	14	heometriyi	heometriyi	PROPN
cte-418	378	15	(	(	PUNCT
cte-418	378	16	computer	computer	NOUN
cte-418	378	17	on	on	ADP
cte-418	378	18	geometry	geometry	NOUN
cte-418	378	19	lessons	lesson	NOUN
cte-418	378	20	)	)	PUNCT
cte-418	378	21	.	.	PUNCT
cte-418	379	1	dinit	dinit	PROPN
cte-418	379	2	,	,	PUNCT
cte-418	379	3	kyiv	kyiv	PROPN
cte-418	379	4	(	(	PUNCT
cte-418	379	5	2004	2004	NUM
cte-418	379	6	)	)	PUNCT