id	sid	tid	token	lemma	pos
cte-106	1	1	experience	experience	NOUN
cte-106	1	2	in	in	ADP
cte-106	1	3	training	training	NOUN
cte-106	1	4	specialists	specialist	NOUN
cte-106	1	5	with	with	ADP
cte-106	1	6	mathematical	mathematical	ADJ
cte-106	1	7	computer	computer	NOUN
cte-106	1	8	modeling	modeling	NOUN
cte-106	1	9	skills	skill	NOUN
cte-106	1	10	,	,	PUNCT
cte-106	1	11	taking	take	VERB
cte-106	1	12	into	into	ADP
cte-106	1	13	account	account	NOUN
cte-106	1	14	the	the	DET
cte-106	1	15	needs	need	NOUN
cte-106	1	16	of	of	ADP
cte-106	1	17	the	the	DET
cte-106	1	18	modern	modern	ADJ
cte-106	1	19	labor	labor	NOUN
cte-106	1	20	market	market	NOUN
cte-106	1	21	cte	cte	NOUN
cte-106	1	22	workshop	workshop	NOUN
cte-106	1	23	proceedings	proceeding	NOUN
cte-106	1	24	,	,	PUNCT
cte-106	1	25	2022	2022	NUM
cte-106	1	26	,	,	PUNCT
cte-106	1	27	vol	vol	NOUN
cte-106	1	28	.	.	NOUN
cte-106	1	29	9	9	NUM
cte-106	1	30	:	:	PUNCT
cte-106	1	31	cte-2021	cte-2021	NOUN
cte-106	1	32	,	,	PUNCT
cte-106	1	33	pp	pp	ADJ
cte-106	1	34	.	.	PUNCT
cte-106	2	1	95	95	NUM
cte-106	2	2	-	-	SYM
cte-106	2	3	106	106	NUM
cte-106	2	4	experience	experience	NOUN
cte-106	2	5	in	in	ADP
cte-106	2	6	training	training	NOUN
cte-106	2	7	specialists	specialist	NOUN
cte-106	2	8	with	with	ADP
cte-106	2	9	mathematical	mathematical	ADJ
cte-106	2	10	computer	computer	NOUN
cte-106	2	11	modeling	modeling	NOUN
cte-106	2	12	skills	skill	NOUN
cte-106	2	13	,	,	PUNCT
cte-106	2	14	taking	take	VERB
cte-106	2	15	into	into	ADP
cte-106	2	16	account	account	NOUN
cte-106	2	17	the	the	DET
cte-106	2	18	needs	need	NOUN
cte-106	2	19	of	of	ADP
cte-106	2	20	the	the	DET
cte-106	2	21	modern	modern	ADJ
cte-106	2	22	labor	labor	NOUN
cte-106	2	23	market	market	NOUN
cte-106	2	24	nataliia	nataliia	NOUN
cte-106	2	25	v.	v.	PROPN
cte-106	2	26	morze1	morze1	PROPN
cte-106	2	27	,	,	PUNCT
cte-106	2	28	iryna	iryna	PROPN
cte-106	2	29	v.	v.	ADP
cte-106	2	30	mashkina1	mashkina1	PROPN
cte-106	2	31	and	and	CCONJ
cte-106	2	32	mariia	mariia	VERB
cte-106	2	33	a.	a.	PROPN
cte-106	2	34	boiko1	boiko1	PROPN
cte-106	3	1	1borys	1borys	NUM
cte-106	3	2	grinchenko	grinchenko	PROPN
cte-106	3	3	kyiv	kyiv	PROPN
cte-106	3	4	university	university	NOUN
cte-106	3	5	,	,	PUNCT
cte-106	3	6	18/2	18/2	NUM
cte-106	3	7	bulvarno	bulvarno	NOUN
cte-106	3	8	-	-	PUNCT
cte-106	3	9	kudriavska	kudriavska	NOUN
cte-106	3	10	str	str	PROPN
cte-106	3	11	.	.	PUNCT
cte-106	3	12	,	,	PUNCT
cte-106	3	13	kyiv	kyiv	PROPN
cte-106	3	14	,	,	PUNCT
cte-106	3	15	04053	04053	NUM
cte-106	3	16	,	,	PUNCT
cte-106	3	17	ukraine	ukraine	PROPN
cte-106	3	18	abstract	abstract	NOUN
cte-106	3	19	.	.	PUNCT
cte-106	4	1	today	today	NOUN
cte-106	4	2	in	in	ADP
cte-106	4	3	most	most	ADJ
cte-106	4	4	countries	country	NOUN
cte-106	4	5	there	there	PRON
cte-106	4	6	is	be	VERB
cte-106	4	7	a	a	DET
cte-106	4	8	lack	lack	NOUN
cte-106	4	9	of	of	ADP
cte-106	4	10	qualifications	qualification	NOUN
cte-106	4	11	in	in	ADP
cte-106	4	12	areas	area	NOUN
cte-106	4	13	,	,	PUNCT
cte-106	4	14	which	which	PRON
cte-106	4	15	require	require	VERB
cte-106	4	16	specialists	specialist	NOUN
cte-106	4	17	with	with	ADP
cte-106	4	18	mathematical	mathematical	ADJ
cte-106	4	19	competencies	competency	NOUN
cte-106	4	20	,	,	PUNCT
cte-106	4	21	despite	despite	SCONJ
cte-106	4	22	the	the	DET
cte-106	4	23	high	high	ADJ
cte-106	4	24	unemployment	unemployment	NOUN
cte-106	4	25	rate	rate	NOUN
cte-106	4	26	in	in	ADP
cte-106	4	27	many	many	ADJ
cte-106	4	28	countries	country	NOUN
cte-106	4	29	.	.	PUNCT
cte-106	5	1	at	at	ADP
cte-106	5	2	the	the	DET
cte-106	5	3	same	same	ADJ
cte-106	5	4	time	time	NOUN
cte-106	5	5	,	,	PUNCT
cte-106	5	6	it	it	PRON
cte-106	5	7	is	be	AUX
cte-106	5	8	generally	generally	ADV
cte-106	5	9	recognized	recognize	VERB
cte-106	5	10	that	that	SCONJ
cte-106	5	11	most	most	ADV
cte-106	5	12	likely	likely	ADJ
cte-106	5	13	those	those	DET
cte-106	5	14	sciences	science	NOUN
cte-106	5	15	are	be	AUX
cte-106	5	16	developing	develop	VERB
cte-106	5	17	,	,	PUNCT
cte-106	5	18	the	the	DET
cte-106	5	19	fundamental	fundamental	ADJ
cte-106	5	20	results	result	NOUN
cte-106	5	21	of	of	ADP
cte-106	5	22	which	which	PRON
cte-106	5	23	can	can	AUX
cte-106	5	24	be	be	AUX
cte-106	5	25	formulated	formulate	VERB
cte-106	5	26	mathematically	mathematically	ADV
cte-106	5	27	.	.	PUNCT
cte-106	6	1	using	use	VERB
cte-106	6	2	mathematical	mathematical	ADJ
cte-106	6	3	methods	method	NOUN
cte-106	6	4	,	,	PUNCT
cte-106	6	5	researchers	researcher	NOUN
cte-106	6	6	draw	draw	VERB
cte-106	6	7	important	important	ADJ
cte-106	6	8	conclusions	conclusion	NOUN
cte-106	6	9	that	that	PRON
cte-106	6	10	could	could	AUX
cte-106	6	11	hardly	hardly	ADV
cte-106	6	12	be	be	AUX
cte-106	6	13	obtained	obtain	VERB
cte-106	6	14	otherwise	otherwise	ADV
cte-106	6	15	.	.	PUNCT
cte-106	7	1	digital	digital	ADJ
cte-106	7	2	transformation	transformation	NOUN
cte-106	7	3	of	of	ADP
cte-106	7	4	all	all	DET
cte-106	7	5	industries	industry	NOUN
cte-106	7	6	requires	require	VERB
cte-106	7	7	specialists	specialist	NOUN
cte-106	7	8	with	with	ADP
cte-106	7	9	a	a	DET
cte-106	7	10	sufficient	sufficient	ADJ
cte-106	7	11	level	level	NOUN
cte-106	7	12	of	of	ADP
cte-106	7	13	mathematical	mathematical	ADJ
cte-106	7	14	competence	competence	NOUN
cte-106	7	15	and	and	CCONJ
cte-106	7	16	skills	skill	NOUN
cte-106	7	17	in	in	ADP
cte-106	7	18	ict	ict	PROPN
cte-106	7	19	tools	tool	NOUN
cte-106	7	20	,	,	PUNCT
cte-106	7	21	including	include	VERB
cte-106	7	22	computer	computer	NOUN
cte-106	7	23	modeling	modeling	NOUN
cte-106	7	24	using	use	VERB
cte-106	7	25	the	the	DET
cte-106	7	26	approach	approach	NOUN
cte-106	7	27	called	call	VERB
cte-106	7	28	inquiry	inquiry	NOUN
cte-106	7	29	-	-	PUNCT
cte-106	7	30	based	base	VERB
cte-106	7	31	mathematics	mathematic	NOUN
cte-106	7	32	education	education	NOUN
cte-106	7	33	(	(	PUNCT
cte-106	7	34	ibme	ibme	PROPN
cte-106	7	35	)	)	PUNCT
cte-106	7	36	.	.	PUNCT
cte-106	8	1	keywords	keyword	NOUN
cte-106	8	2	:	:	PUNCT
cte-106	8	3	mathematical	mathematical	ADJ
cte-106	8	4	competence	competence	NOUN
cte-106	8	5	,	,	PUNCT
cte-106	8	6	stem	stem	NOUN
cte-106	8	7	education	education	NOUN
cte-106	8	8	,	,	PUNCT
cte-106	8	9	computer	computer	NOUN
cte-106	8	10	modeling	modeling	NOUN
cte-106	8	11	,	,	PUNCT
cte-106	8	12	ibme	ibme	PROPN
cte-106	8	13	,	,	PUNCT
cte-106	8	14	labor	labor	NOUN
cte-106	8	15	market	market	NOUN
cte-106	8	16	1	1	NUM
cte-106	8	17	.	.	PUNCT
cte-106	9	1	introduction	introduction	NOUN
cte-106	9	2	modern	modern	ADJ
cte-106	9	3	society	society	NOUN
cte-106	9	4	,	,	PUNCT
cte-106	9	5	digital	digital	ADJ
cte-106	9	6	transformation	transformation	NOUN
cte-106	9	7	of	of	ADP
cte-106	9	8	all	all	DET
cte-106	9	9	industries	industry	NOUN
cte-106	9	10	require	require	VERB
cte-106	9	11	the	the	DET
cte-106	9	12	development	development	NOUN
cte-106	9	13	of	of	ADP
cte-106	9	14	business	business	NOUN
cte-106	9	15	mindset	mindset	NOUN
cte-106	9	16	,	,	PUNCT
cte-106	9	17	innovation	innovation	NOUN
cte-106	9	18	,	,	PUNCT
cte-106	9	19	stem	stem	VERB
cte-106	9	20	education	education	NOUN
cte-106	9	21	and	and	CCONJ
cte-106	9	22	science	science	NOUN
cte-106	9	23	education	education	NOUN
cte-106	9	24	.	.	PUNCT
cte-106	10	1	these	these	DET
cte-106	10	2	needs	need	NOUN
cte-106	10	3	of	of	ADP
cte-106	10	4	the	the	DET
cte-106	10	5	labor	labor	NOUN
cte-106	10	6	market	market	NOUN
cte-106	10	7	can	can	AUX
cte-106	10	8	be	be	AUX
cte-106	10	9	met	meet	VERB
cte-106	10	10	only	only	ADV
cte-106	10	11	with	with	ADP
cte-106	10	12	professionals	professional	NOUN
cte-106	10	13	who	who	PRON
cte-106	10	14	have	have	VERB
cte-106	10	15	an	an	DET
cte-106	10	16	adequate	adequate	ADJ
cte-106	10	17	level	level	NOUN
cte-106	10	18	of	of	ADP
cte-106	10	19	mathematical	mathematical	ADJ
cte-106	10	20	competence	competence	NOUN
cte-106	10	21	.	.	PUNCT
cte-106	11	1	in	in	ADP
cte-106	11	2	the	the	DET
cte-106	11	3	last	last	ADJ
cte-106	11	4	few	few	ADJ
cte-106	11	5	years	year	NOUN
cte-106	11	6	,	,	PUNCT
cte-106	11	7	ukrainian	ukrainian	ADJ
cte-106	11	8	universities	university	NOUN
cte-106	11	9	have	have	AUX
cte-106	11	10	faced	face	VERB
cte-106	11	11	the	the	DET
cte-106	11	12	problem	problem	NOUN
cte-106	11	13	of	of	ADP
cte-106	11	14	mathematics	mathematic	NOUN
cte-106	11	15	’	'	PUNCT
cte-106	11	16	training	training	NOUN
cte-106	11	17	.	.	PUNCT
cte-106	12	1	young	young	ADJ
cte-106	12	2	people	people	NOUN
cte-106	12	3	do	do	AUX
cte-106	12	4	not	not	PART
cte-106	12	5	wish	wish	VERB
cte-106	12	6	to	to	PART
cte-106	12	7	teach	teach	VERB
cte-106	12	8	mathematics	mathematic	NOUN
cte-106	12	9	and	and	CCONJ
cte-106	12	10	have	have	VERB
cte-106	12	11	a	a	DET
cte-106	12	12	low	low	ADJ
cte-106	12	13	level	level	NOUN
cte-106	12	14	of	of	ADP
cte-106	12	15	preparation	preparation	NOUN
cte-106	12	16	when	when	SCONJ
cte-106	12	17	they	they	PRON
cte-106	12	18	enter	enter	VERB
cte-106	12	19	the	the	DET
cte-106	12	20	university	university	NOUN
cte-106	12	21	to	to	PART
cte-106	12	22	master	master	VERB
cte-106	12	23	the	the	DET
cte-106	12	24	program	program	NOUN
cte-106	12	25	in	in	ADP
cte-106	12	26	mathematics	mathematic	NOUN
cte-106	12	27	.	.	PUNCT
cte-106	13	1	we	we	PRON
cte-106	13	2	see	see	VERB
cte-106	13	3	a	a	DET
cte-106	13	4	real	real	ADJ
cte-106	13	5	problem	problem	NOUN
cte-106	13	6	with	with	ADP
cte-106	13	7	the	the	DET
cte-106	13	8	study	study	NOUN
cte-106	13	9	and	and	CCONJ
cte-106	13	10	teaching	teaching	NOUN
cte-106	13	11	of	of	ADP
cte-106	13	12	mathematics	mathematic	NOUN
cte-106	13	13	in	in	ADP
cte-106	13	14	high	high	ADJ
cte-106	13	15	school	school	NOUN
cte-106	13	16	and	and	CCONJ
cte-106	13	17	in	in	ADP
cte-106	13	18	universities	university	NOUN
cte-106	13	19	.	.	PUNCT
cte-106	14	1	one	one	NUM
cte-106	14	2	of	of	ADP
cte-106	14	3	the	the	DET
cte-106	14	4	reasons	reason	NOUN
cte-106	14	5	for	for	ADP
cte-106	14	6	this	this	DET
cte-106	14	7	situation	situation	NOUN
cte-106	14	8	,	,	PUNCT
cte-106	14	9	in	in	ADP
cte-106	14	10	our	our	PRON
cte-106	14	11	opinion	opinion	NOUN
cte-106	14	12	,	,	PUNCT
cte-106	14	13	is	be	AUX
cte-106	14	14	the	the	DET
cte-106	14	15	low	low	ADJ
cte-106	14	16	motivation	motivation	NOUN
cte-106	14	17	of	of	ADP
cte-106	14	18	students	student	NOUN
cte-106	14	19	.	.	PUNCT
cte-106	15	1	this	this	PRON
cte-106	15	2	happens	happen	VERB
cte-106	15	3	because	because	SCONJ
cte-106	15	4	students	student	NOUN
cte-106	15	5	do	do	AUX
cte-106	15	6	not	not	PART
cte-106	15	7	see	see	VERB
cte-106	15	8	a	a	DET
cte-106	15	9	suitable	suitable	ADJ
cte-106	15	10	labor	labor	NOUN
cte-106	15	11	market	market	NOUN
cte-106	15	12	.	.	PUNCT
cte-106	16	1	there	there	PRON
cte-106	16	2	are	be	VERB
cte-106	16	3	two	two	NUM
cte-106	16	4	ways	way	NOUN
cte-106	16	5	to	to	PART
cte-106	16	6	solve	solve	VERB
cte-106	16	7	this	this	DET
cte-106	16	8	problem	problem	NOUN
cte-106	16	9	:	:	PUNCT
cte-106	16	10	1	1	X
cte-106	16	11	.	.	X
cte-106	16	12	change	change	VERB
cte-106	16	13	the	the	DET
cte-106	16	14	methodology	methodology	NOUN
cte-106	16	15	of	of	ADP
cte-106	16	16	teaching	teach	VERB
cte-106	16	17	mathematics	mathematic	NOUN
cte-106	16	18	from	from	ADP
cte-106	16	19	passive	passive	ADJ
cte-106	16	20	learning	learning	NOUN
cte-106	16	21	to	to	ADP
cte-106	16	22	active	active	ADJ
cte-106	16	23	activities	activity	NOUN
cte-106	16	24	.	.	PUNCT
cte-106	17	1	this	this	PRON
cte-106	17	2	means	mean	VERB
cte-106	17	3	students	student	NOUN
cte-106	17	4	are	be	AUX
cte-106	17	5	involved	involve	VERB
cte-106	17	6	in	in	ADP
cte-106	17	7	solving	solve	VERB
cte-106	17	8	theoretical	theoretical	ADJ
cte-106	17	9	and	and	CCONJ
cte-106	17	10	practical	practical	ADJ
cte-106	17	11	problems	problem	NOUN
cte-106	17	12	using	use	VERB
cte-106	17	13	the	the	DET
cte-106	17	14	inquiry	inquiry	NOUN
cte-106	17	15	.	.	PUNCT
cte-106	17	16	"	"	PUNCT
cte-106	18	1	n.morze@kubg.edu.ua	n.morze@kubg.edu.ua	NOUN
cte-106	18	2	(	(	PUNCT
cte-106	18	3	n.	n.	PROPN
cte-106	18	4	v.	v.	ADP
cte-106	18	5	morze	morze	PROPN
cte-106	18	6	)	)	PUNCT
cte-106	18	7	;	;	PUNCT
cte-106	18	8	i.mashkina@kubg.edu.ua	i.mashkina@kubg.edu.ua	PROPN
cte-106	18	9	(	(	PUNCT
cte-106	18	10	i.	i.	PROPN
cte-106	18	11	v.	v.	PROPN
cte-106	18	12	mashkina	mashkina	PROPN
cte-106	18	13	)	)	PUNCT
cte-106	18	14	;	;	PUNCT
cte-106	18	15	m.gladun@kubg.edu.ua	m.gladun@kubg.edu.ua	NOUN
cte-106	18	16	(	(	PUNCT
cte-106	18	17	m.	m.	NOUN
cte-106	18	18	a.	a.	PROPN
cte-106	18	19	boiko	boiko	PROPN
cte-106	18	20	)	)	PUNCT
cte-106	19	1	~	~	PUNCT
cte-106	19	2	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/476-morze-nataliia-viktorivna.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/476-morze-nataliia-viktorivna.html	X
cte-106	19	3	(	(	PUNCT
cte-106	19	4	n.	n.	NOUN
cte-106	19	5	v.	v.	ADP
cte-106	19	6	morze	morze	PROPN
cte-106	19	7	)	)	PUNCT
cte-106	19	8	;	;	PUNCT
cte-106	19	9	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/456-no-name.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/456-no-name.html	PROPN
cte-106	19	10	(	(	PUNCT
cte-106	19	11	i.	i.	PROPN
cte-106	19	12	v.	v.	PROPN
cte-106	19	13	mashkina	mashkina	PROPN
cte-106	19	14	)	)	PUNCT
cte-106	19	15	;	;	PUNCT
cte-106	19	16	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/519-no-name.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/519-no-name.html	PROPN
cte-106	19	17	(	(	PUNCT
cte-106	19	18	m.	m.	NOUN
cte-106	19	19	a.	a.	PROPN
cte-106	19	20	boiko	boiko	PROPN
cte-106	19	21	)	)	PUNCT
cte-106	19	22	�	�	PROPN
cte-106	19	23	0000	0000	NUM
cte-106	19	24	-	-	PUNCT
cte-106	19	25	0003	0003	NUM
cte-106	19	26	-	-	PUNCT
cte-106	19	27	3477	3477	NUM
cte-106	19	28	-	-	PUNCT
cte-106	19	29	9254	9254	NUM
cte-106	19	30	(	(	PUNCT
cte-106	19	31	n.	n.	NOUN
cte-106	19	32	v.	v.	ADP
cte-106	19	33	morze	morze	PROPN
cte-106	19	34	)	)	PUNCT
cte-106	19	35	;	;	PUNCT
cte-106	19	36	0000	0000	NUM
cte-106	19	37	-	-	SYM
cte-106	19	38	0003	0003	NUM
cte-106	19	39	-	-	PUNCT
cte-106	19	40	0667	0667	NUM
cte-106	19	41	-	-	SYM
cte-106	19	42	5749	5749	NUM
cte-106	19	43	(	(	PUNCT
cte-106	19	44	i.	i.	PROPN
cte-106	19	45	v.	v.	PROPN
cte-106	19	46	mashkina	mashkina	PROPN
cte-106	19	47	)	)	PUNCT
cte-106	19	48	;	;	PUNCT
cte-106	19	49	0000	0000	NUM
cte-106	19	50	-	-	SYM
cte-106	19	51	0003	0003	NUM
cte-106	19	52	-	-	PUNCT
cte-106	19	53	0293	0293	NUM
cte-106	19	54	-	-	SYM
cte-106	19	55	5670	5670	NUM
cte-106	19	56	(	(	PUNCT
cte-106	19	57	m.	m.	NOUN
cte-106	19	58	a.	a.	PROPN
cte-106	19	59	boiko	boiko	PROPN
cte-106	19	60	)	)	PUNCT
cte-106	19	61	cte	cte	NOUN
cte-106	19	62	workshop	workshop	NOUN
cte-106	19	63	proceedings	proceeding	NOUN
cte-106	19	64	©	©	ADP
cte-106	19	65	copyright	copyright	NOUN
cte-106	19	66	for	for	ADP
cte-106	19	67	this	this	DET
cte-106	19	68	paper	paper	NOUN
cte-106	19	69	by	by	ADP
cte-106	19	70	its	its	PRON
cte-106	19	71	authors	author	NOUN
cte-106	19	72	,	,	PUNCT
cte-106	19	73	published	publish	VERB
cte-106	19	74	by	by	ADP
cte-106	19	75	academy	academy	NOUN
cte-106	19	76	of	of	ADP
cte-106	19	77	cognitive	cognitive	ADJ
cte-106	19	78	and	and	CCONJ
cte-106	19	79	natural	natural	ADJ
cte-106	19	80	sciences	science	NOUN
cte-106	19	81	(	(	PUNCT
cte-106	19	82	acns	acns	ADJ
cte-106	19	83	)	)	PUNCT
cte-106	19	84	.	.	PUNCT
cte-106	20	1	this	this	PRON
cte-106	20	2	is	be	AUX
cte-106	20	3	an	an	DET
cte-106	20	4	open	open	ADJ
cte-106	20	5	access	access	NOUN
cte-106	20	6	article	article	NOUN
cte-106	20	7	distributed	distribute	VERB
cte-106	20	8	under	under	ADP
cte-106	20	9	the	the	DET
cte-106	20	10	terms	term	NOUN
cte-106	20	11	of	of	ADP
cte-106	20	12	the	the	DET
cte-106	20	13	creative	creative	ADJ
cte-106	20	14	commons	common	NOUN
cte-106	20	15	license	license	NOUN
cte-106	20	16	attribution	attribution	NOUN
cte-106	20	17	4.0	4.0	NUM
cte-106	20	18	international	international	NOUN
cte-106	20	19	(	(	PUNCT
cte-106	20	20	cc	cc	NOUN
cte-106	20	21	by	by	ADP
cte-106	20	22	4.0	4.0	NUM
cte-106	20	23	)	)	PUNCT
cte-106	20	24	,	,	PUNCT
cte-106	20	25	which	which	PRON
cte-106	20	26	permits	permit	VERB
cte-106	20	27	unrestricted	unrestricted	ADJ
cte-106	20	28	use	use	NOUN
cte-106	20	29	,	,	PUNCT
cte-106	20	30	distribution	distribution	NOUN
cte-106	20	31	,	,	PUNCT
cte-106	20	32	and	and	CCONJ
cte-106	20	33	reproduction	reproduction	NOUN
cte-106	20	34	in	in	ADP
cte-106	20	35	any	any	DET
cte-106	20	36	medium	medium	NOUN
cte-106	20	37	,	,	PUNCT
cte-106	20	38	provided	provide	VERB
cte-106	20	39	the	the	DET
cte-106	20	40	original	original	ADJ
cte-106	20	41	work	work	NOUN
cte-106	20	42	is	be	AUX
cte-106	20	43	properly	properly	ADV
cte-106	20	44	cited	cite	VERB
cte-106	20	45	.	.	PUNCT
cte-106	21	1	95	95	NUM
cte-106	21	2	mailto:n.morze@kubg.edu.ua	mailto:n.morze@kubg.edu.ua	PROPN
cte-106	21	3	mailto:i.mashkina@kubg.edu.ua	mailto:i.mashkina@kubg.edu.ua	PROPN
cte-106	21	4	mailto:m.gladun@kubg.edu.ua	mailto:m.gladun@kubg.edu.ua	PROPN
cte-106	21	5	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/476-morze-nataliia-viktorivna.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/476-morze-nataliia-viktorivna.html	NOUN
cte-106	21	6	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/456-no-name.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/456-no-name.html	PROPN
cte-106	22	1	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/519-no-name.html	https://fitu.kubg.edu.ua/pro-fakultet/kafedry/2016-06-16-07-27-24/sklad/519-no-name.html	PROPN
cte-106	22	2	https://orcid.org/0000-0003-3477-9254	https://orcid.org/0000-0003-3477-9254	ADJ
cte-106	22	3	https://orcid.org/0000-0003-0667-5749	https://orcid.org/0000-0003-0667-5749	AUX
cte-106	22	4	https://orcid.org/0000-0003-0293-5670	https://orcid.org/0000-0003-0293-5670	ADV
cte-106	22	5	https://acnsci.org/cte	https://acnsci.org/cte	VERB
cte-106	22	6	https://creativecommons.org/licenses/by/4.0	https://creativecommons.org/licenses/by/4.0	X
cte-106	22	7	https://acnsci.org	https://acnsci.org	PROPN
cte-106	22	8	cte	cte	NOUN
cte-106	22	9	workshop	workshop	NOUN
cte-106	22	10	proceedings	proceeding	NOUN
cte-106	22	11	,	,	PUNCT
cte-106	22	12	2022	2022	NUM
cte-106	22	13	,	,	PUNCT
cte-106	22	14	vol	vol	NOUN
cte-106	22	15	.	.	NOUN
cte-106	23	1	9	9	NUM
cte-106	23	2	:	:	PUNCT
cte-106	23	3	cte-2021	cte-2021	NOUN
cte-106	23	4	,	,	PUNCT
cte-106	23	5	pp	pp	ADJ
cte-106	23	6	.	.	PUNCT
cte-106	24	1	95	95	NUM
cte-106	24	2	-	-	SYM
cte-106	24	3	106	106	NUM
cte-106	24	4	2	2	NUM
cte-106	24	5	.	.	PUNCT
cte-106	25	1	teach	teach	VERB
cte-106	25	2	students	student	NOUN
cte-106	25	3	a	a	DET
cte-106	25	4	business	business	NOUN
cte-106	25	5	mindset	mindset	NOUN
cte-106	25	6	.	.	PUNCT
cte-106	26	1	this	this	PRON
cte-106	26	2	means	mean	VERB
cte-106	26	3	the	the	DET
cte-106	26	4	development	development	NOUN
cte-106	26	5	of	of	ADP
cte-106	26	6	their	their	PRON
cte-106	26	7	own	own	ADJ
cte-106	26	8	projects	project	NOUN
cte-106	26	9	that	that	PRON
cte-106	26	10	can	can	AUX
cte-106	26	11	become	become	VERB
cte-106	26	12	startups	startup	NOUN
cte-106	26	13	.	.	PUNCT
cte-106	27	1	all	all	ADV
cte-106	27	2	with	with	ADP
cte-106	27	3	the	the	DET
cte-106	27	4	help	help	NOUN
cte-106	27	5	of	of	ADP
cte-106	27	6	mathematics	mathematic	NOUN
cte-106	27	7	.	.	PUNCT
cte-106	28	1	figure	figure	NOUN
cte-106	28	2	1	1	NUM
cte-106	28	3	:	:	PUNCT
cte-106	28	4	needs	need	NOUN
cte-106	28	5	of	of	ADP
cte-106	28	6	society	society	NOUN
cte-106	28	7	.	.	PUNCT
cte-106	29	1	the	the	DET
cte-106	29	2	problem	problem	NOUN
cte-106	29	3	of	of	ADP
cte-106	29	4	the	the	DET
cte-106	29	5	quality	quality	NOUN
cte-106	29	6	of	of	ADP
cte-106	29	7	natural	natural	ADJ
cte-106	29	8	and	and	CCONJ
cte-106	29	9	mathematical	mathematical	ADJ
cte-106	29	10	education	education	NOUN
cte-106	29	11	in	in	ADP
cte-106	29	12	ukraine	ukraine	NOUN
cte-106	29	13	as	as	ADP
cte-106	29	14	a	a	DET
cte-106	29	15	part	part	NOUN
cte-106	29	16	of	of	ADP
cte-106	29	17	the	the	DET
cte-106	29	18	general	general	ADJ
cte-106	29	19	world	world	NOUN
cte-106	29	20	educational	educational	ADJ
cte-106	29	21	space	space	NOUN
cte-106	29	22	is	be	AUX
cte-106	29	23	multidimensional	multidimensional	ADJ
cte-106	29	24	,	,	PUNCT
cte-106	29	25	and	and	CCONJ
cte-106	29	26	numerous	numerous	ADJ
cte-106	29	27	academic	academic	ADJ
cte-106	29	28	and	and	CCONJ
cte-106	29	29	journalistic	journalistic	ADJ
cte-106	29	30	works	work	NOUN
cte-106	29	31	of	of	ADP
cte-106	29	32	domestic	domestic	ADJ
cte-106	29	33	and	and	CCONJ
cte-106	29	34	foreign	foreign	ADJ
cte-106	29	35	authors	author	NOUN
cte-106	29	36	are	be	AUX
cte-106	29	37	devoted	devote	VERB
cte-106	29	38	to	to	ADP
cte-106	29	39	various	various	ADJ
cte-106	29	40	aspects	aspect	NOUN
cte-106	29	41	of	of	ADP
cte-106	29	42	this	this	DET
cte-106	29	43	problem	problem	NOUN
cte-106	29	44	.	.	PUNCT
cte-106	30	1	the	the	DET
cte-106	30	2	aim	aim	NOUN
cte-106	30	3	of	of	ADP
cte-106	30	4	this	this	DET
cte-106	30	5	paper	paper	NOUN
cte-106	30	6	is	be	AUX
cte-106	30	7	to	to	PART
cte-106	30	8	show	show	VERB
cte-106	30	9	ibme	ibme	NOUN
cte-106	30	10	approaches	approach	NOUN
cte-106	30	11	in	in	ADP
cte-106	30	12	teaching	teach	VERB
cte-106	30	13	mathematical	mathematical	ADJ
cte-106	30	14	modeling	modeling	NOUN
cte-106	30	15	considering	consider	VERB
cte-106	30	16	the	the	DET
cte-106	30	17	demand	demand	NOUN
cte-106	30	18	in	in	ADP
cte-106	30	19	the	the	DET
cte-106	30	20	labor	labor	NOUN
cte-106	30	21	market	market	NOUN
cte-106	30	22	in	in	ADP
cte-106	30	23	professions	profession	NOUN
cte-106	30	24	requiring	require	VERB
cte-106	30	25	mathematical	mathematical	ADJ
cte-106	30	26	competence	competence	NOUN
cte-106	30	27	and	and	CCONJ
cte-106	30	28	to	to	PART
cte-106	30	29	analyze	analyze	VERB
cte-106	30	30	european	european	ADJ
cte-106	30	31	and	and	CCONJ
cte-106	30	32	national	national	ADJ
cte-106	30	33	approaches	approach	NOUN
cte-106	30	34	to	to	PART
cte-106	30	35	stimulate	stimulate	VERB
cte-106	30	36	their	their	PRON
cte-106	30	37	use	use	NOUN
cte-106	30	38	in	in	ADP
cte-106	30	39	accordance	accordance	NOUN
cte-106	30	40	with	with	ADP
cte-106	30	41	the	the	DET
cte-106	30	42	needs	need	NOUN
cte-106	30	43	of	of	ADP
cte-106	30	44	the	the	DET
cte-106	30	45	labor	labor	NOUN
cte-106	30	46	market	market	NOUN
cte-106	30	47	,	,	PUNCT
cte-106	30	48	and	and	CCONJ
cte-106	30	49	to	to	PART
cte-106	30	50	identify	identify	VERB
cte-106	30	51	competencies	competency	NOUN
cte-106	30	52	that	that	PRON
cte-106	30	53	contribute	contribute	VERB
cte-106	30	54	to	to	ADP
cte-106	30	55	an	an	DET
cte-106	30	56	increase	increase	NOUN
cte-106	30	57	in	in	ADP
cte-106	30	58	a	a	DET
cte-106	30	59	skilled	skilled	ADJ
cte-106	30	60	workforce	workforce	NOUN
cte-106	30	61	considering	consider	VERB
cte-106	30	62	the	the	DET
cte-106	30	63	formation	formation	NOUN
cte-106	30	64	of	of	ADP
cte-106	30	65	mathematical	mathematical	ADJ
cte-106	30	66	competence	competence	NOUN
cte-106	30	67	.	.	PUNCT
cte-106	31	1	the	the	DET
cte-106	31	2	modern	modern	ADJ
cte-106	31	3	labor	labor	NOUN
cte-106	31	4	market	market	NOUN
cte-106	31	5	imposes	impose	VERB
cte-106	31	6	requirements	requirement	NOUN
cte-106	31	7	on	on	ADP
cte-106	31	8	graduates	graduate	NOUN
cte-106	31	9	of	of	ADP
cte-106	31	10	higher	high	ADJ
cte-106	31	11	educational	educational	ADJ
cte-106	31	12	institutions	institution	NOUN
cte-106	31	13	related	relate	VERB
cte-106	31	14	to	to	ADP
cte-106	31	15	the	the	DET
cte-106	31	16	possession	possession	NOUN
cte-106	31	17	of	of	ADP
cte-106	31	18	professional	professional	ADJ
cte-106	31	19	(	(	PUNCT
cte-106	31	20	hard	hard	ADJ
cte-106	31	21	skills	skill	NOUN
cte-106	31	22	)	)	PUNCT
cte-106	31	23	and	and	CCONJ
cte-106	31	24	flexible	flexible	ADJ
cte-106	31	25	(	(	PUNCT
cte-106	31	26	soft	soft	ADJ
cte-106	31	27	skills	skill	NOUN
cte-106	31	28	)	)	PUNCT
cte-106	31	29	skills	skill	NOUN
cte-106	31	30	,	,	PUNCT
cte-106	31	31	hard	hard	ADJ
cte-106	31	32	skills	skill	NOUN
cte-106	31	33	are	be	AUX
cte-106	31	34	determined	determine	VERB
cte-106	31	35	by	by	ADP
cte-106	31	36	professional	professional	ADJ
cte-106	31	37	knowledge	knowledge	NOUN
cte-106	31	38	,	,	PUNCT
cte-106	31	39	skills	skill	NOUN
cte-106	31	40	that	that	PRON
cte-106	31	41	can	can	AUX
cte-106	31	42	be	be	AUX
cte-106	31	43	clearly	clearly	ADV
cte-106	31	44	demonstrated	demonstrate	VERB
cte-106	31	45	,	,	PUNCT
cte-106	31	46	necessary	necessary	ADJ
cte-106	31	47	for	for	ADP
cte-106	31	48	solving	solve	VERB
cte-106	31	49	specific	specific	ADJ
cte-106	31	50	professional	professional	ADJ
cte-106	31	51	tasks	task	NOUN
cte-106	31	52	are	be	AUX
cte-106	31	53	formed	form	VERB
cte-106	31	54	in	in	ADP
cte-106	31	55	the	the	DET
cte-106	31	56	learning	learning	NOUN
cte-106	31	57	process	process	NOUN
cte-106	31	58	.	.	PUNCT
cte-106	32	1	knowledge	knowledge	NOUN
cte-106	32	2	of	of	ADP
cte-106	32	3	mathematics	mathematic	NOUN
cte-106	32	4	is	be	AUX
cte-106	32	5	critical	critical	ADJ
cte-106	32	6	for	for	ADP
cte-106	32	7	many	many	ADJ
cte-106	32	8	areas	area	NOUN
cte-106	32	9	of	of	ADP
cte-106	32	10	business	business	NOUN
cte-106	32	11	:	:	PUNCT
cte-106	32	12	finance	finance	NOUN
cte-106	32	13	,	,	PUNCT
cte-106	32	14	it	it	PRON
cte-106	32	15	,	,	PUNCT
cte-106	32	16	construction	construction	NOUN
cte-106	32	17	,	,	PUNCT
cte-106	32	18	accounting	accounting	NOUN
cte-106	32	19	,	,	PUNCT
cte-106	32	20	architecture	architecture	NOUN
cte-106	32	21	,	,	PUNCT
cte-106	32	22	mechanical	mechanical	ADJ
cte-106	32	23	engineering	engineering	NOUN
cte-106	32	24	,	,	PUNCT
cte-106	32	25	logistics	logistic	NOUN
cte-106	32	26	,	,	PUNCT
cte-106	32	27	medicine	medicine	NOUN
cte-106	32	28	,	,	PUNCT
cte-106	32	29	trade	trade	NOUN
cte-106	32	30	and	and	CCONJ
cte-106	32	31	others	other	NOUN
cte-106	32	32	.	.	PUNCT
cte-106	33	1	firstly	firstly	ADV
cte-106	33	2	,	,	PUNCT
cte-106	33	3	mathematical	mathematical	ADJ
cte-106	33	4	knowledge	knowledge	NOUN
cte-106	33	5	allows	allow	VERB
cte-106	33	6	you	you	PRON
cte-106	33	7	to	to	PART
cte-106	33	8	learn	learn	VERB
cte-106	33	9	about	about	ADP
cte-106	33	10	the	the	DET
cte-106	33	11	world	world	NOUN
cte-106	33	12	,	,	PUNCT
cte-106	33	13	and	and	CCONJ
cte-106	33	14	,	,	PUNCT
cte-106	33	15	if	if	SCONJ
cte-106	33	16	necessary	necessary	ADJ
cte-106	33	17	,	,	PUNCT
cte-106	33	18	work	work	NOUN
cte-106	33	19	in	in	ADP
cte-106	33	20	other	other	ADJ
cte-106	33	21	spheres	sphere	NOUN
cte-106	33	22	of	of	ADP
cte-106	33	23	human	human	ADJ
cte-106	33	24	activity	activity	NOUN
cte-106	33	25	.	.	PUNCT
cte-106	34	1	for	for	ADP
cte-106	34	2	example	example	NOUN
cte-106	34	3	,	,	PUNCT
cte-106	34	4	a	a	DET
cte-106	34	5	mathematician	mathematician	NOUN
cte-106	34	6	can	can	AUX
cte-106	34	7	easily	easily	ADV
cte-106	34	8	work	work	VERB
cte-106	34	9	as	as	ADP
cte-106	34	10	an	an	DET
cte-106	34	11	analyst	analyst	NOUN
cte-106	34	12	in	in	ADP
cte-106	34	13	various	various	ADJ
cte-106	34	14	modern	modern	ADJ
cte-106	34	15	companies	company	NOUN
cte-106	34	16	.	.	PUNCT
cte-106	35	1	this	this	PRON
cte-106	35	2	is	be	AUX
cte-106	35	3	evidenced	evidence	VERB
cte-106	35	4	by	by	ADP
cte-106	35	5	the	the	DET
cte-106	35	6	examples	example	NOUN
cte-106	35	7	and	and	CCONJ
cte-106	35	8	lives	life	NOUN
cte-106	35	9	of	of	ADP
cte-106	35	10	graduates	graduate	NOUN
cte-106	35	11	of	of	ADP
cte-106	35	12	other	other	ADJ
cte-106	35	13	specialities	speciality	NOUN
cte-106	35	14	of	of	ADP
cte-106	35	15	borys	bory	NOUN
cte-106	35	16	grinchenko	grinchenko	PROPN
cte-106	35	17	kyiv	kyiv	PROPN
cte-106	35	18	university	university	PROPN
cte-106	35	19	.	.	PUNCT
cte-106	36	1	secondly	secondly	ADV
cte-106	36	2	,	,	PUNCT
cte-106	36	3	the	the	DET
cte-106	36	4	need	need	NOUN
cte-106	36	5	of	of	ADP
cte-106	36	6	modern	modern	ADJ
cte-106	36	7	society	society	NOUN
cte-106	36	8	for	for	ADP
cte-106	36	9	mathematicians	mathematician	NOUN
cte-106	36	10	,	,	PUNCT
cte-106	36	11	and	and	CCONJ
cte-106	36	12	not	not	PART
cte-106	36	13	only	only	ADV
cte-106	36	14	for	for	ADP
cte-106	36	15	programmers	programmer	NOUN
cte-106	36	16	and	and	CCONJ
cte-106	36	17	economists	economist	NOUN
cte-106	36	18	,	,	PUNCT
cte-106	36	19	is	be	AUX
cte-106	36	20	constantly	constantly	ADV
cte-106	36	21	increasing	increase	VERB
cte-106	36	22	.	.	PUNCT
cte-106	37	1	this	this	PRON
cte-106	37	2	affects	affect	VERB
cte-106	37	3	wages	wage	NOUN
cte-106	37	4	and	and	CCONJ
cte-106	37	5	the	the	DET
cte-106	37	6	ability	ability	NOUN
cte-106	37	7	to	to	PART
cte-106	37	8	work	work	VERB
cte-106	37	9	both	both	PRON
cte-106	37	10	in	in	ADP
cte-106	37	11	ukraine	ukraine	NOUN
cte-106	37	12	and	and	CCONJ
cte-106	37	13	abroad	abroad	ADV
cte-106	37	14	.	.	PUNCT
cte-106	38	1	96	96	NUM
cte-106	38	2	cte	cte	NOUN
cte-106	38	3	workshop	workshop	NOUN
cte-106	38	4	proceedings	proceeding	NOUN
cte-106	38	5	,	,	PUNCT
cte-106	38	6	2022	2022	NUM
cte-106	38	7	,	,	PUNCT
cte-106	38	8	vol	vol	NOUN
cte-106	38	9	.	.	NOUN
cte-106	38	10	9	9	NUM
cte-106	38	11	:	:	PUNCT
cte-106	38	12	cte-2021	cte-2021	NOUN
cte-106	38	13	,	,	PUNCT
cte-106	38	14	pp	pp	ADJ
cte-106	38	15	.	.	PUNCT
cte-106	39	1	95	95	NUM
cte-106	39	2	-	-	SYM
cte-106	39	3	106	106	NUM
cte-106	39	4	2	2	NUM
cte-106	39	5	.	.	PUNCT
cte-106	39	6	related	relate	VERB
cte-106	39	7	work	work	NOUN
cte-106	39	8	the	the	DET
cte-106	39	9	shortage	shortage	NOUN
cte-106	39	10	of	of	ADP
cte-106	39	11	specialists	specialist	NOUN
cte-106	39	12	in	in	ADP
cte-106	39	13	the	the	DET
cte-106	39	14	labor	labor	NOUN
cte-106	39	15	market	market	NOUN
cte-106	39	16	with	with	ADP
cte-106	39	17	established	establish	VERB
cte-106	39	18	mathematical	mathematical	ADJ
cte-106	39	19	competence	competence	NOUN
cte-106	39	20	has	have	AUX
cte-106	39	21	been	be	AUX
cte-106	39	22	investigated	investigate	VERB
cte-106	39	23	by	by	ADP
cte-106	39	24	many	many	ADJ
cte-106	39	25	scientists	scientist	NOUN
cte-106	39	26	.	.	PUNCT
cte-106	40	1	in	in	ADP
cte-106	40	2	particular	particular	ADJ
cte-106	40	3	,	,	PUNCT
cte-106	40	4	levanon	levanon	NOUN
cte-106	40	5	[	[	X
cte-106	40	6	6	6	NUM
cte-106	40	7	]	]	PUNCT
cte-106	40	8	analyzed	analyze	VERB
cte-106	40	9	the	the	DET
cte-106	40	10	main	main	ADJ
cte-106	40	11	analysis	analysis	NOUN
cte-106	40	12	on	on	ADP
cte-106	40	13	labor	labor	NOUN
cte-106	40	14	shortages	shortage	NOUN
cte-106	40	15	in	in	ADP
cte-106	40	16	the	the	DET
cte-106	40	17	united	united	PROPN
cte-106	40	18	states	states	PROPN
cte-106	40	19	and	and	CCONJ
cte-106	40	20	other	other	ADJ
cte-106	40	21	advanced	advanced	ADJ
cte-106	40	22	economies	economy	NOUN
cte-106	40	23	.	.	PUNCT
cte-106	41	1	the	the	DET
cte-106	41	2	author	author	NOUN
cte-106	41	3	notes	note	VERB
cte-106	41	4	that	that	SCONJ
cte-106	41	5	the	the	DET
cte-106	41	6	risk	risk	NOUN
cte-106	41	7	of	of	ADP
cte-106	41	8	labor	labor	NOUN
cte-106	41	9	shortages	shortage	NOUN
cte-106	41	10	in	in	ADP
cte-106	41	11	mathematics	mathematics	NOUN
cte-106	41	12	majors	major	NOUN
cte-106	41	13	is	be	AUX
cte-106	41	14	much	much	ADV
cte-106	41	15	higher	high	ADJ
cte-106	41	16	due	due	ADP
cte-106	41	17	to	to	ADP
cte-106	41	18	the	the	DET
cte-106	41	19	rapid	rapid	ADJ
cte-106	41	20	increase	increase	NOUN
cte-106	41	21	in	in	ADP
cte-106	41	22	available	available	ADJ
cte-106	41	23	data	datum	NOUN
cte-106	41	24	at	at	ADP
cte-106	41	25	the	the	DET
cte-106	41	26	company	company	NOUN
cte-106	41	27	level	level	NOUN
cte-106	41	28	or	or	CCONJ
cte-106	41	29	big	big	ADJ
cte-106	41	30	data	datum	NOUN
cte-106	41	31	,	,	PUNCT
cte-106	41	32	currently	currently	ADV
cte-106	41	33	leading	lead	VERB
cte-106	41	34	to	to	ADP
cte-106	41	35	the	the	DET
cte-106	41	36	rapidly	rapidly	ADV
cte-106	41	37	growing	grow	VERB
cte-106	41	38	demand	demand	NOUN
cte-106	41	39	for	for	ADP
cte-106	41	40	workers	worker	NOUN
cte-106	41	41	who	who	PRON
cte-106	41	42	can	can	AUX
cte-106	41	43	help	help	VERB
cte-106	41	44	turn	turn	VERB
cte-106	41	45	this	this	DET
cte-106	41	46	data	datum	NOUN
cte-106	41	47	into	into	ADP
cte-106	41	48	business	business	NOUN
cte-106	41	49	decisions	decision	NOUN
cte-106	41	50	.	.	PUNCT
cte-106	42	1	according	accord	VERB
cte-106	42	2	to	to	ADP
cte-106	42	3	employment	employment	NOUN
cte-106	42	4	forecasts	forecast	NOUN
cte-106	42	5	by	by	ADP
cte-106	42	6	the	the	DET
cte-106	42	7	bureau	bureau	PROPN
cte-106	42	8	of	of	ADP
cte-106	42	9	labor	labor	PROPN
cte-106	42	10	statistics	statistic	NOUN
cte-106	42	11	,	,	PUNCT
cte-106	42	12	the	the	DET
cte-106	42	13	math	math	NOUN
cte-106	42	14	professions	profession	NOUN
cte-106	42	15	are	be	AUX
cte-106	42	16	expected	expect	VERB
cte-106	42	17	to	to	PART
cte-106	42	18	grow	grow	VERB
cte-106	42	19	by	by	ADP
cte-106	42	20	28	28	NUM
cte-106	42	21	percent	percent	NOUN
cte-106	42	22	in	in	ADP
cte-106	42	23	2014	2014	NUM
cte-106	42	24	-	-	SYM
cte-106	42	25	2024	2024	NUM
cte-106	42	26	–	–	PUNCT
cte-106	42	27	one	one	NUM
cte-106	42	28	of	of	ADP
cte-106	42	29	the	the	DET
cte-106	42	30	fastest	fast	ADV
cte-106	42	31	-	-	PUNCT
cte-106	42	32	growing	grow	VERB
cte-106	42	33	occupation	occupation	NOUN
cte-106	42	34	groups	group	NOUN
cte-106	42	35	in	in	ADP
cte-106	42	36	the	the	DET
cte-106	42	37	entire	entire	ADJ
cte-106	42	38	economy	economy	NOUN
cte-106	42	39	.	.	PUNCT
cte-106	43	1	to	to	PART
cte-106	43	2	meet	meet	VERB
cte-106	43	3	the	the	DET
cte-106	43	4	needs	need	NOUN
cte-106	43	5	of	of	ADP
cte-106	43	6	modern	modern	ADJ
cte-106	43	7	society	society	NOUN
cte-106	43	8	in	in	ADP
cte-106	43	9	mathematics	mathematic	NOUN
cte-106	43	10	,	,	PUNCT
cte-106	43	11	we	we	PRON
cte-106	43	12	see	see	VERB
cte-106	43	13	the	the	DET
cte-106	43	14	importance	importance	NOUN
cte-106	43	15	of	of	ADP
cte-106	43	16	forming	form	VERB
cte-106	43	17	mathematical	mathematical	ADJ
cte-106	43	18	competence	competence	NOUN
cte-106	43	19	[	[	X
cte-106	43	20	10	10	NUM
cte-106	43	21	]	]	PUNCT
cte-106	43	22	.	.	PUNCT
cte-106	44	1	in	in	ADP
cte-106	44	2	particular	particular	ADJ
cte-106	44	3	,	,	PUNCT
cte-106	44	4	onoprienko	onoprienko	PROPN
cte-106	44	5	[	[	X
cte-106	44	6	8	8	NUM
cte-106	44	7	]	]	PUNCT
cte-106	44	8	considers	consider	VERB
cte-106	44	9	the	the	DET
cte-106	44	10	formation	formation	NOUN
cte-106	44	11	of	of	ADP
cte-106	44	12	mathematical	mathematical	ADJ
cte-106	44	13	competence	competence	NOUN
cte-106	44	14	through	through	ADP
cte-106	44	15	competence	competence	NOUN
cte-106	44	16	-	-	PUNCT
cte-106	44	17	oriented	orient	VERB
cte-106	44	18	problems	problem	NOUN
cte-106	44	19	.	.	PUNCT
cte-106	45	1	the	the	DET
cte-106	45	2	system	system	NOUN
cte-106	45	3	approach	approach	NOUN
cte-106	45	4	is	be	AUX
cte-106	45	5	presented	present	VERB
cte-106	45	6	in	in	ADP
cte-106	45	7	the	the	DET
cte-106	45	8	works	work	NOUN
cte-106	45	9	of	of	ADP
cte-106	45	10	fayzullaev	fayzullaev	PROPN
cte-106	46	1	[	[	X
cte-106	46	2	2	2	NUM
cte-106	46	3	]	]	PUNCT
cte-106	46	4	,	,	PUNCT
cte-106	46	5	khomiuk	khomiuk	NOUN
cte-106	47	1	[	[	X
cte-106	47	2	5	5	NUM
cte-106	47	3	]	]	PUNCT
cte-106	47	4	,	,	PUNCT
cte-106	47	5	striuk	striuk	NOUN
cte-106	47	6	,	,	PUNCT
cte-106	47	7	semerikov	semerikov	NOUN
cte-106	47	8	and	and	CCONJ
cte-106	47	9	striuk	striuk	NOUN
cte-106	47	10	[	[	X
cte-106	47	11	11	11	NUM
cte-106	47	12	]	]	PUNCT
cte-106	47	13	.	.	PUNCT
cte-106	48	1	the	the	DET
cte-106	48	2	formation	formation	NOUN
cte-106	48	3	of	of	ADP
cte-106	48	4	professional	professional	ADJ
cte-106	48	5	and	and	CCONJ
cte-106	48	6	mathematical	mathematical	ADJ
cte-106	48	7	competence	competence	NOUN
cte-106	48	8	of	of	ADP
cte-106	48	9	students	student	NOUN
cte-106	48	10	in	in	ADP
cte-106	48	11	the	the	DET
cte-106	48	12	field	field	NOUN
cte-106	48	13	of	of	ADP
cte-106	48	14	technical	technical	ADJ
cte-106	48	15	training	training	NOUN
cte-106	48	16	on	on	ADP
cte-106	48	17	the	the	DET
cte-106	48	18	basis	basis	NOUN
cte-106	48	19	of	of	ADP
cte-106	48	20	interdisciplinary	interdisciplinary	ADJ
cte-106	48	21	integration	integration	NOUN
cte-106	48	22	of	of	ADP
cte-106	48	23	mathematics	mathematic	NOUN
cte-106	48	24	and	and	CCONJ
cte-106	48	25	computer	computer	NOUN
cte-106	48	26	science	science	NOUN
cte-106	48	27	is	be	AUX
cte-106	48	28	considered	consider	VERB
cte-106	48	29	by	by	ADP
cte-106	48	30	vasileva	vasileva	PROPN
cte-106	48	31	et	et	PROPN
cte-106	48	32	al	al	PROPN
cte-106	48	33	.	.	PUNCT
cte-106	49	1	[	[	X
cte-106	49	2	13	13	NUM
cte-106	49	3	]	]	PUNCT
cte-106	49	4	.	.	PUNCT
cte-106	50	1	astafieva	astafieva	PROPN
cte-106	50	2	et	et	PROPN
cte-106	50	3	al	al	PROPN
cte-106	50	4	.	.	PUNCT
cte-106	51	1	[	[	X
cte-106	51	2	1	1	X
cte-106	51	3	]	]	PUNCT
cte-106	51	4	substantiated	substantiate	VERB
cte-106	51	5	the	the	DET
cte-106	51	6	approaches	approach	NOUN
cte-106	51	7	to	to	ADP
cte-106	51	8	the	the	DET
cte-106	51	9	effective	effective	ADJ
cte-106	51	10	use	use	NOUN
cte-106	51	11	of	of	ADP
cte-106	51	12	the	the	DET
cte-106	51	13	advantages	advantage	NOUN
cte-106	51	14	and	and	CCONJ
cte-106	51	15	minimized	minimize	VERB
cte-106	51	16	the	the	DET
cte-106	51	17	disadvantages	disadvantage	NOUN
cte-106	51	18	and	and	CCONJ
cte-106	51	19	losses	loss	NOUN
cte-106	51	20	of	of	ADP
cte-106	51	21	e	e	NOUN
cte-106	51	22	-	-	NOUN
cte-106	51	23	learning	learning	NOUN
cte-106	51	24	as	as	ADP
cte-106	51	25	a	a	DET
cte-106	51	26	means	means	NOUN
cte-106	51	27	of	of	ADP
cte-106	51	28	forming	form	VERB
cte-106	51	29	the	the	DET
cte-106	51	30	mathematical	mathematical	ADJ
cte-106	51	31	competence	competence	NOUN
cte-106	51	32	of	of	ADP
cte-106	51	33	students	student	NOUN
cte-106	51	34	in	in	ADP
cte-106	51	35	the	the	DET
cte-106	51	36	context	context	NOUN
cte-106	51	37	of	of	ADP
cte-106	51	38	a	a	DET
cte-106	51	39	research	research	NOUN
cte-106	51	40	-	-	PUNCT
cte-106	51	41	oriented	orient	VERB
cte-106	51	42	educational	educational	ADJ
cte-106	51	43	process	process	NOUN
cte-106	51	44	.	.	PUNCT
cte-106	52	1	to	to	PART
cte-106	52	2	increase	increase	VERB
cte-106	52	3	the	the	DET
cte-106	52	4	motivation	motivation	NOUN
cte-106	52	5	of	of	ADP
cte-106	52	6	students	student	NOUN
cte-106	52	7	in	in	ADP
cte-106	52	8	the	the	DET
cte-106	52	9	study	study	NOUN
cte-106	52	10	of	of	ADP
cte-106	52	11	mathematics	mathematic	NOUN
cte-106	52	12	,	,	PUNCT
cte-106	52	13	one	one	NUM
cte-106	52	14	way	way	NOUN
cte-106	52	15	is	be	AUX
cte-106	52	16	to	to	PART
cte-106	52	17	demonstrate	demonstrate	VERB
cte-106	52	18	the	the	DET
cte-106	52	19	connection	connection	NOUN
cte-106	52	20	with	with	ADP
cte-106	52	21	real	real	ADJ
cte-106	52	22	life	life	NOUN
cte-106	52	23	.	.	PUNCT
cte-106	53	1	the	the	DET
cte-106	53	2	method	method	NOUN
cte-106	53	3	of	of	ADP
cte-106	53	4	studying	study	VERB
cte-106	53	5	processes	process	NOUN
cte-106	53	6	or	or	CCONJ
cte-106	53	7	phenomena	phenomenon	NOUN
cte-106	53	8	by	by	ADP
cte-106	53	9	creating	create	VERB
cte-106	53	10	their	their	PRON
cte-106	53	11	mathematical	mathematical	ADJ
cte-106	53	12	models	model	NOUN
cte-106	53	13	and	and	CCONJ
cte-106	53	14	studying	study	VERB
cte-106	53	15	these	these	DET
cte-106	53	16	models	model	NOUN
cte-106	53	17	is	be	AUX
cte-106	53	18	mathematical	mathematical	ADJ
cte-106	53	19	modeling	modeling	NOUN
cte-106	53	20	.	.	PUNCT
cte-106	54	1	a	a	DET
cte-106	54	2	great	great	ADJ
cte-106	54	3	contribution	contribution	NOUN
cte-106	54	4	to	to	ADP
cte-106	54	5	the	the	DET
cte-106	54	6	study	study	NOUN
cte-106	54	7	of	of	ADP
cte-106	54	8	teaching	teach	VERB
cte-106	54	9	mathematical	mathematical	ADJ
cte-106	54	10	modeling	modeling	NOUN
cte-106	54	11	has	have	AUX
cte-106	54	12	also	also	ADV
cte-106	54	13	been	be	AUX
cte-106	54	14	made	make	VERB
cte-106	54	15	by	by	ADP
cte-106	54	16	flehantov	flehantov	PROPN
cte-106	54	17	and	and	CCONJ
cte-106	54	18	ovsiienko	ovsiienko	NOUN
cte-106	54	19	[	[	X
cte-106	54	20	3	3	NUM
cte-106	54	21	]	]	PUNCT
cte-106	54	22	,	,	PUNCT
cte-106	54	23	kaiser	kaiser	NOUN
cte-106	55	1	[	[	X
cte-106	55	2	4	4	NUM
cte-106	55	3	]	]	PUNCT
cte-106	55	4	,	,	PUNCT
cte-106	55	5	lvov	lvov	PROPN
cte-106	55	6	et	et	PROPN
cte-106	55	7	al	al	PROPN
cte-106	55	8	.	.	PUNCT
cte-106	56	1	[	[	X
cte-106	56	2	7	7	NUM
cte-106	56	3	]	]	PUNCT
cte-106	56	4	,	,	PUNCT
cte-106	56	5	riyanto	riyanto	ADP
cte-106	56	6	et	et	PROPN
cte-106	56	7	al	al	PROPN
cte-106	56	8	.	.	PUNCT
cte-106	57	1	[	[	X
cte-106	57	2	9	9	NUM
cte-106	57	3	]	]	PUNCT
cte-106	57	4	,	,	PUNCT
cte-106	57	5	teplytskyi	teplytskyi	ADJ
cte-106	58	1	[	[	X
cte-106	58	2	12	12	NUM
cte-106	58	3	]	]	PUNCT
cte-106	58	4	.	.	PUNCT
cte-106	59	1	3	3	X
cte-106	59	2	.	.	X
cte-106	59	3	research	research	NOUN
cte-106	59	4	methods	method	NOUN
cte-106	59	5	teachers	teacher	NOUN
cte-106	59	6	of	of	ADP
cte-106	59	7	the	the	DET
cte-106	59	8	department	department	NOUN
cte-106	59	9	of	of	ADP
cte-106	59	10	computer	computer	NOUN
cte-106	59	11	science	science	NOUN
cte-106	59	12	and	and	CCONJ
cte-106	59	13	mathematics	mathematic	NOUN
cte-106	59	14	also	also	ADV
cte-106	59	15	conduct	conduct	VERB
cte-106	59	16	ongoing	ongoing	ADJ
cte-106	59	17	research	research	NOUN
cte-106	59	18	in	in	ADP
cte-106	59	19	the	the	DET
cte-106	59	20	direction	direction	NOUN
cte-106	59	21	of	of	ADP
cte-106	59	22	the	the	DET
cte-106	59	23	quality	quality	NOUN
cte-106	59	24	of	of	ADP
cte-106	59	25	science	science	NOUN
cte-106	59	26	and	and	CCONJ
cte-106	59	27	mathematics	mathematic	NOUN
cte-106	59	28	education	education	NOUN
cte-106	59	29	.	.	PUNCT
cte-106	60	1	as	as	ADP
cte-106	60	2	part	part	NOUN
cte-106	60	3	of	of	ADP
cte-106	60	4	an	an	DET
cte-106	60	5	international	international	ADJ
cte-106	60	6	project	project	NOUN
cte-106	60	7	erasmus+	erasmus+	NOUN
cte-106	60	8	platinum	platinum	NOUN
cte-106	60	9	a	a	DET
cte-106	60	10	survey	survey	NOUN
cte-106	60	11	of	of	ADP
cte-106	60	12	employers	employer	NOUN
cte-106	60	13	of	of	ADP
cte-106	60	14	the	the	DET
cte-106	60	15	modern	modern	ADJ
cte-106	60	16	labor	labor	NOUN
cte-106	60	17	market	market	NOUN
cte-106	60	18	in	in	ADP
cte-106	60	19	ukraine	ukraine	NOUN
cte-106	60	20	and	and	CCONJ
cte-106	60	21	graduates	graduate	NOUN
cte-106	60	22	of	of	ADP
cte-106	60	23	the	the	DET
cte-106	60	24	university	university	NOUN
cte-106	60	25	was	be	AUX
cte-106	60	26	conducted	conduct	VERB
cte-106	60	27	in	in	ADP
cte-106	60	28	order	order	NOUN
cte-106	60	29	to	to	PART
cte-106	60	30	compare	compare	VERB
cte-106	60	31	on	on	ADP
cte-106	60	32	the	the	DET
cte-106	60	33	one	one	NUM
cte-106	60	34	hand	hand	NOUN
cte-106	60	35	the	the	DET
cte-106	60	36	needs	need	NOUN
cte-106	60	37	of	of	ADP
cte-106	60	38	employers	employer	NOUN
cte-106	60	39	in	in	ADP
cte-106	60	40	specialists	specialist	NOUN
cte-106	60	41	with	with	ADP
cte-106	60	42	mathematical	mathematical	ADJ
cte-106	60	43	competencies	competency	NOUN
cte-106	60	44	,	,	PUNCT
cte-106	60	45	on	on	ADP
cte-106	60	46	the	the	DET
cte-106	60	47	other	other	ADJ
cte-106	60	48	–	–	PUNCT
cte-106	60	49	self	self	NOUN
cte-106	60	50	-	-	PUNCT
cte-106	60	51	assessment	assessment	NOUN
cte-106	60	52	of	of	ADP
cte-106	60	53	graduates	graduate	NOUN
cte-106	60	54	on	on	ADP
cte-106	60	55	the	the	DET
cte-106	60	56	level	level	NOUN
cte-106	60	57	of	of	ADP
cte-106	60	58	relevant	relevant	ADJ
cte-106	60	59	competencies	competency	NOUN
cte-106	60	60	,	,	PUNCT
cte-106	60	61	inquiry	inquiry	NOUN
cte-106	60	62	-	-	PUNCT
cte-106	60	63	based	base	VERB
cte-106	60	64	mathematics	mathematic	NOUN
cte-106	60	65	education	education	NOUN
cte-106	60	66	(	(	PUNCT
cte-106	60	67	ibme	ibme	PROPN
cte-106	60	68	)	)	PUNCT
cte-106	60	69	used	use	VERB
cte-106	60	70	in	in	ADP
cte-106	60	71	the	the	DET
cte-106	60	72	teaching	teaching	NOUN
cte-106	60	73	of	of	ADP
cte-106	60	74	mathematical	mathematical	ADJ
cte-106	60	75	disciplines	discipline	NOUN
cte-106	60	76	,	,	PUNCT
cte-106	60	77	in	in	ADP
cte-106	60	78	which	which	PRON
cte-106	60	79	students	student	NOUN
cte-106	60	80	are	be	AUX
cte-106	60	81	invited	invite	VERB
cte-106	60	82	to	to	PART
cte-106	60	83	work	work	VERB
cte-106	60	84	in	in	ADP
cte-106	60	85	ways	way	NOUN
cte-106	60	86	similar	similar	ADJ
cte-106	60	87	to	to	ADP
cte-106	60	88	how	how	SCONJ
cte-106	60	89	mathematicians	mathematician	NOUN
cte-106	60	90	and	and	CCONJ
cte-106	60	91	scientists	scientist	NOUN
cte-106	60	92	work	work	VERB
cte-106	60	93	.	.	PUNCT
cte-106	61	1	in	in	ADP
cte-106	61	2	our	our	PRON
cte-106	61	3	project	project	NOUN
cte-106	61	4	,	,	PUNCT
cte-106	61	5	we	we	PRON
cte-106	61	6	conducted	conduct	VERB
cte-106	61	7	a	a	DET
cte-106	61	8	survey	survey	NOUN
cte-106	61	9	of	of	ADP
cte-106	61	10	employers	employer	NOUN
cte-106	61	11	and	and	CCONJ
cte-106	61	12	business	business	NOUN
cte-106	61	13	leaders	leader	NOUN
cte-106	61	14	.	.	PUNCT
cte-106	62	1	the	the	DET
cte-106	62	2	task	task	NOUN
cte-106	62	3	of	of	ADP
cte-106	62	4	the	the	DET
cte-106	62	5	survey	survey	NOUN
cte-106	62	6	was	be	AUX
cte-106	62	7	to	to	PART
cte-106	62	8	analyze	analyze	VERB
cte-106	62	9	what	what	PRON
cte-106	62	10	qualities	quality	NOUN
cte-106	62	11	employers	employer	NOUN
cte-106	62	12	expect	expect	VERB
cte-106	62	13	and	and	CCONJ
cte-106	62	14	what	what	PRON
cte-106	62	15	students	student	NOUN
cte-106	62	16	lack	lack	VERB
cte-106	62	17	when	when	SCONJ
cte-106	62	18	they	they	PRON
cte-106	62	19	get	get	VERB
cte-106	62	20	a	a	DET
cte-106	62	21	job	job	NOUN
cte-106	62	22	.	.	PUNCT
cte-106	63	1	the	the	DET
cte-106	63	2	survey	survey	NOUN
cte-106	63	3	was	be	AUX
cte-106	63	4	attended	attend	VERB
cte-106	63	5	by	by	ADP
cte-106	63	6	employers	employer	NOUN
cte-106	63	7	in	in	ADP
cte-106	63	8	kyiv	kyiv	PROPN
cte-106	63	9	,	,	PUNCT
cte-106	63	10	whose	whose	DET
cte-106	63	11	areas	area	NOUN
cte-106	63	12	of	of	ADP
cte-106	63	13	activity	activity	NOUN
cte-106	63	14	are	be	AUX
cte-106	63	15	different	different	ADJ
cte-106	63	16	in	in	ADP
cte-106	63	17	figure	figure	NOUN
cte-106	63	18	2	2	NUM
cte-106	63	19	.	.	PUNCT
cte-106	63	20	to	to	ADP
cte-106	63	21	the	the	DET
cte-106	63	22	question	question	NOUN
cte-106	63	23	“	"	PUNCT
cte-106	63	24	do	do	AUX
cte-106	63	25	your	your	PRON
cte-106	63	26	company	company	NOUN
cte-106	63	27	employ	employ	VERB
cte-106	63	28	specialists	specialist	NOUN
cte-106	63	29	with	with	ADP
cte-106	63	30	higher	high	ADJ
cte-106	63	31	education	education	NOUN
cte-106	63	32	,	,	PUNCT
cte-106	63	33	an	an	DET
cte-106	63	34	important	important	ADJ
cte-106	63	35	component	component	NOUN
cte-106	63	36	of	of	ADP
cte-106	63	37	whose	whose	DET
cte-106	63	38	professional	professional	ADJ
cte-106	63	39	training	training	NOUN
cte-106	63	40	were	be	AUX
cte-106	63	41	mathematical	mathematical	ADJ
cte-106	63	42	disciplines	discipline	NOUN
cte-106	63	43	?	?	PUNCT
cte-106	63	44	”	"	PUNCT
cte-106	64	1	all	all	DET
cte-106	64	2	respondents	respondent	NOUN
cte-106	64	3	answered	answer	VERB
cte-106	64	4	“	"	PUNCT
cte-106	64	5	yes	yes	INTJ
cte-106	64	6	”	"	PUNCT
cte-106	64	7	.	.	PUNCT
cte-106	65	1	at	at	ADP
cte-106	65	2	the	the	DET
cte-106	65	3	same	same	ADJ
cte-106	65	4	time	time	NOUN
cte-106	65	5	,	,	PUNCT
cte-106	65	6	68.8	68.8	NUM
cte-106	65	7	%	%	NOUN
cte-106	65	8	of	of	ADP
cte-106	65	9	participants	participant	NOUN
cte-106	65	10	answered	answer	VERB
cte-106	65	11	in	in	ADP
cte-106	65	12	the	the	DET
cte-106	65	13	affirmative	affirmative	NOUN
cte-106	65	14	about	about	ADP
cte-106	65	15	the	the	DET
cte-106	65	16	97	97	NUM
cte-106	65	17	cte	cte	NOUN
cte-106	65	18	workshop	workshop	NOUN
cte-106	65	19	proceedings	proceeding	NOUN
cte-106	65	20	,	,	PUNCT
cte-106	65	21	2022	2022	NUM
cte-106	65	22	,	,	PUNCT
cte-106	65	23	vol	vol	NOUN
cte-106	65	24	.	.	NOUN
cte-106	66	1	9	9	NUM
cte-106	66	2	:	:	PUNCT
cte-106	66	3	cte-2021	cte-2021	NOUN
cte-106	66	4	,	,	PUNCT
cte-106	66	5	pp	pp	ADJ
cte-106	66	6	.	.	PUNCT
cte-106	67	1	95	95	NUM
cte-106	67	2	-	-	SYM
cte-106	67	3	106	106	NUM
cte-106	67	4	figure	figure	NOUN
cte-106	67	5	2	2	NUM
cte-106	67	6	:	:	PUNCT
cte-106	67	7	the	the	DET
cte-106	67	8	direction	direction	NOUN
cte-106	67	9	of	of	ADP
cte-106	67	10	activity	activity	NOUN
cte-106	67	11	of	of	ADP
cte-106	67	12	the	the	DET
cte-106	67	13	surveyed	survey	VERB
cte-106	67	14	employers	employer	NOUN
cte-106	67	15	.	.	PUNCT
cte-106	68	1	need	need	VERB
cte-106	68	2	for	for	ADP
cte-106	68	3	such	such	ADJ
cte-106	68	4	specialists	specialist	NOUN
cte-106	68	5	at	at	ADP
cte-106	68	6	their	their	PRON
cte-106	68	7	enterprise	enterprise	NOUN
cte-106	68	8	,	,	PUNCT
cte-106	68	9	12.5	12.5	NUM
cte-106	68	10	%	%	NOUN
cte-106	68	11	need	need	VERB
cte-106	68	12	professional	professional	ADJ
cte-106	68	13	mathematicians	mathematician	NOUN
cte-106	68	14	and	and	CCONJ
cte-106	68	15	12.5	12.5	NUM
cte-106	68	16	%	%	NOUN
cte-106	68	17	need	need	VERB
cte-106	68	18	situationally	situationally	ADV
cte-106	68	19	and	and	CCONJ
cte-106	68	20	then	then	ADV
cte-106	68	21	specialists	specialist	NOUN
cte-106	68	22	are	be	AUX
cte-106	68	23	involved	involve	VERB
cte-106	68	24	on	on	ADP
cte-106	68	25	a	a	DET
cte-106	68	26	project	project	NOUN
cte-106	68	27	basis	basis	NOUN
cte-106	68	28	.	.	PUNCT
cte-106	69	1	the	the	DET
cte-106	69	2	labor	labor	NOUN
cte-106	69	3	market	market	NOUN
cte-106	69	4	needs	need	VERB
cte-106	69	5	for	for	ADP
cte-106	69	6	specialists	specialist	NOUN
cte-106	69	7	in	in	ADP
cte-106	69	8	whom	whom	PRON
cte-106	69	9	mathematical	mathematical	ADJ
cte-106	69	10	competencies	competency	NOUN
cte-106	69	11	are	be	AUX
cte-106	69	12	formed	form	VERB
cte-106	69	13	is	be	AUX
cte-106	69	14	also	also	ADV
cte-106	69	15	indicated	indicate	VERB
cte-106	69	16	by	by	ADP
cte-106	69	17	the	the	DET
cte-106	69	18	answer	answer	NOUN
cte-106	69	19	to	to	ADP
cte-106	69	20	the	the	DET
cte-106	69	21	question	question	NOUN
cte-106	69	22	“	"	PUNCT
cte-106	69	23	are	be	AUX
cte-106	69	24	you	you	PRON
cte-106	69	25	satisfied	satisfied	ADJ
cte-106	69	26	with	with	ADP
cte-106	69	27	the	the	DET
cte-106	69	28	level	level	NOUN
cte-106	69	29	of	of	ADP
cte-106	69	30	mathematical	mathematical	ADJ
cte-106	69	31	training	training	NOUN
cte-106	69	32	of	of	ADP
cte-106	69	33	specialists	specialist	NOUN
cte-106	69	34	working	work	VERB
cte-106	69	35	at	at	ADP
cte-106	69	36	your	your	PRON
cte-106	69	37	enterprise	enterprise	NOUN
cte-106	69	38	?	?	PUNCT
cte-106	69	39	”	"	PUNCT
cte-106	69	40	43.8	43.8	NUM
cte-106	69	41	%	%	NOUN
cte-106	69	42	answered	answer	VERB
cte-106	69	43	“	"	PUNCT
cte-106	69	44	yes	yes	INTJ
cte-106	69	45	”	"	PUNCT
cte-106	69	46	,	,	PUNCT
cte-106	69	47	43.8	43.8	NUM
cte-106	69	48	%	%	NOUN
cte-106	69	49	-“need	-“need	PUNCT
cte-106	69	50	a	a	DET
cte-106	69	51	special	special	ADJ
cte-106	69	52	preparation	preparation	NOUN
cte-106	69	53	for	for	ADP
cte-106	69	54	the	the	DET
cte-106	69	55	tasks	task	NOUN
cte-106	69	56	of	of	ADP
cte-106	69	57	the	the	DET
cte-106	69	58	organization	organization	NOUN
cte-106	69	59	”	"	PUNCT
cte-106	69	60	,	,	PUNCT
cte-106	69	61	12.5	12.5	NUM
cte-106	69	62	%	%	NOUN
cte-106	69	63	–	–	PUNCT
cte-106	69	64	“	"	PUNCT
cte-106	69	65	suits	suit	NOUN
cte-106	69	66	,	,	PUNCT
cte-106	69	67	because	because	SCONJ
cte-106	69	68	a	a	DET
cte-106	69	69	personnel	personnel	NOUN
cte-106	69	70	policy	policy	NOUN
cte-106	69	71	is	be	AUX
cte-106	69	72	being	be	AUX
cte-106	69	73	carried	carry	VERB
cte-106	69	74	out	out	ADP
cte-106	69	75	to	to	PART
cte-106	69	76	select	select	VERB
cte-106	69	77	the	the	DET
cte-106	69	78	appropriate	appropriate	ADJ
cte-106	69	79	stuff	stuff	NOUN
cte-106	69	80	”	"	PUNCT
cte-106	69	81	.	.	PUNCT
cte-106	70	1	the	the	DET
cte-106	70	2	survey	survey	NOUN
cte-106	70	3	also	also	ADV
cte-106	70	4	shows	show	VERB
cte-106	70	5	us	we	PRON
cte-106	70	6	which	which	DET
cte-106	70	7	competencies	competency	NOUN
cte-106	70	8	are	be	AUX
cte-106	70	9	important	important	ADJ
cte-106	70	10	for	for	ADP
cte-106	70	11	mathematicians	mathematician	NOUN
cte-106	70	12	from	from	ADP
cte-106	70	13	the	the	DET
cte-106	70	14	point	point	NOUN
cte-106	70	15	of	of	ADP
cte-106	70	16	view	view	NOUN
cte-106	70	17	of	of	ADP
cte-106	70	18	the	the	DET
cte-106	70	19	job	job	NOUN
cte-106	70	20	market	market	NOUN
cte-106	70	21	:	:	PUNCT
cte-106	70	22	the	the	DET
cte-106	70	23	importance	importance	NOUN
cte-106	70	24	of	of	ADP
cte-106	70	25	competencies	competency	NOUN
cte-106	70	26	for	for	ADP
cte-106	70	27	mathematics	mathematics	NOUN
cte-106	70	28	specialists	specialist	NOUN
cte-106	70	29	for	for	ADP
cte-106	70	30	business	business	NOUN
cte-106	70	31	;	;	PUNCT
cte-106	70	32	use	use	VERB
cte-106	70	33	the	the	DET
cte-106	70	34	web	web	NOUN
cte-106	70	35	resources	resource	NOUN
cte-106	70	36	to	to	PART
cte-106	70	37	solve	solve	VERB
cte-106	70	38	professional	professional	ADJ
cte-106	70	39	problems	problem	NOUN
cte-106	70	40	;	;	PUNCT
cte-106	70	41	ability	ability	NOUN
cte-106	70	42	to	to	PART
cte-106	70	43	apply	apply	VERB
cte-106	70	44	mathematical	mathematical	ADJ
cte-106	70	45	knowledge	knowledge	NOUN
cte-106	70	46	and	and	CCONJ
cte-106	70	47	models	model	NOUN
cte-106	70	48	in	in	ADP
cte-106	70	49	real	real	ADJ
cte-106	70	50	-	-	PUNCT
cte-106	70	51	life	life	NOUN
cte-106	70	52	contexts	contexts	NOUN
cte-106	70	53	.	.	PUNCT
cte-106	71	1	figure	figure	VERB
cte-106	71	2	3	3	NUM
cte-106	71	3	:	:	PUNCT
cte-106	71	4	the	the	DET
cte-106	71	5	result	result	NOUN
cte-106	71	6	of	of	ADP
cte-106	71	7	a	a	DET
cte-106	71	8	survey	survey	NOUN
cte-106	71	9	on	on	ADP
cte-106	71	10	the	the	DET
cte-106	71	11	need	need	NOUN
cte-106	71	12	for	for	ADP
cte-106	71	13	mathematicians	mathematician	NOUN
cte-106	71	14	.	.	PUNCT
cte-106	72	1	as	as	ADP
cte-106	72	2	part	part	NOUN
cte-106	72	3	of	of	ADP
cte-106	72	4	the	the	DET
cte-106	72	5	project	project	NOUN
cte-106	72	6	,	,	PUNCT
cte-106	72	7	we	we	PRON
cte-106	72	8	conducted	conduct	VERB
cte-106	72	9	a	a	DET
cte-106	72	10	survey	survey	NOUN
cte-106	72	11	of	of	ADP
cte-106	72	12	our	our	PRON
cte-106	72	13	graduates	graduate	NOUN
cte-106	72	14	of	of	ADP
cte-106	72	15	programs	program	NOUN
cte-106	72	16	in	in	ADP
cte-106	72	17	mathematics	mathematic	NOUN
cte-106	72	18	.	.	PUNCT
cte-106	73	1	one	one	NUM
cte-106	73	2	of	of	ADP
cte-106	73	3	the	the	DET
cte-106	73	4	questions	question	NOUN
cte-106	73	5	in	in	ADP
cte-106	73	6	the	the	DET
cte-106	73	7	survey	survey	NOUN
cte-106	73	8	was	be	AUX
cte-106	73	9	about	about	ADP
cte-106	73	10	what	what	DET
cte-106	73	11	skills	skill	NOUN
cte-106	73	12	they	they	PRON
cte-106	73	13	needed	need	VERB
cte-106	73	14	.	.	PUNCT
cte-106	74	1	in	in	ADP
cte-106	74	2	particular	particular	ADJ
cte-106	74	3	,	,	PUNCT
cte-106	74	4	they	they	PRON
cte-106	74	5	noted	note	VERB
cte-106	74	6	that	that	SCONJ
cte-106	74	7	they	they	PRON
cte-106	74	8	lack	lack	VERB
cte-106	74	9	:	:	PUNCT
cte-106	74	10	the	the	DET
cte-106	74	11	ability	ability	NOUN
cte-106	74	12	to	to	PART
cte-106	74	13	adapt	adapt	VERB
cte-106	74	14	mathematical	mathematical	ADJ
cte-106	74	15	knowledge	knowledge	NOUN
cte-106	74	16	to	to	ADP
cte-106	74	17	the	the	DET
cte-106	74	18	98	98	NUM
cte-106	74	19	cte	cte	NOUN
cte-106	74	20	workshop	workshop	NOUN
cte-106	74	21	proceedings	proceeding	NOUN
cte-106	74	22	,	,	PUNCT
cte-106	74	23	2022	2022	NUM
cte-106	74	24	,	,	PUNCT
cte-106	74	25	vol	vol	NOUN
cte-106	74	26	.	.	NOUN
cte-106	74	27	9	9	NUM
cte-106	74	28	:	:	PUNCT
cte-106	74	29	cte-2021	cte-2021	NOUN
cte-106	74	30	,	,	PUNCT
cte-106	74	31	pp	pp	ADJ
cte-106	74	32	.	.	PUNCT
cte-106	75	1	95	95	NUM
cte-106	75	2	-	-	SYM
cte-106	75	3	106	106	NUM
cte-106	75	4	figure	figure	NOUN
cte-106	75	5	4	4	NUM
cte-106	75	6	:	:	PUNCT
cte-106	75	7	the	the	DET
cte-106	75	8	result	result	NOUN
cte-106	75	9	of	of	ADP
cte-106	75	10	a	a	DET
cte-106	75	11	survey	survey	NOUN
cte-106	75	12	on	on	ADP
cte-106	75	13	the	the	DET
cte-106	75	14	lack	lack	NOUN
cte-106	75	15	of	of	ADP
cte-106	75	16	knowledge	knowledge	NOUN
cte-106	75	17	,	,	PUNCT
cte-106	75	18	skills	skill	NOUN
cte-106	75	19	,	,	PUNCT
cte-106	75	20	tools	tool	NOUN
cte-106	75	21	,	,	PUNCT
cte-106	75	22	technologies	technology	NOUN
cte-106	75	23	.	.	PUNCT
cte-106	76	1	context	context	NOUN
cte-106	76	2	,	,	PUNCT
cte-106	76	3	the	the	DET
cte-106	76	4	ability	ability	NOUN
cte-106	76	5	to	to	PART
cte-106	76	6	use	use	VERB
cte-106	76	7	modelling	modelling	NOUN
cte-106	76	8	in	in	ADP
cte-106	76	9	practice	practice	NOUN
cte-106	76	10	and	and	CCONJ
cte-106	76	11	research	research	NOUN
cte-106	76	12	.	.	PUNCT
cte-106	77	1	figure	figure	NOUN
cte-106	77	2	5	5	NUM
cte-106	77	3	:	:	PUNCT
cte-106	77	4	the	the	DET
cte-106	77	5	result	result	NOUN
cte-106	77	6	of	of	ADP
cte-106	77	7	a	a	DET
cte-106	77	8	survey	survey	NOUN
cte-106	77	9	about	about	ADP
cte-106	77	10	improving	improve	VERB
cte-106	77	11	the	the	DET
cte-106	77	12	quality	quality	NOUN
cte-106	77	13	of	of	ADP
cte-106	77	14	mathematical	mathematical	ADJ
cte-106	77	15	education	education	NOUN
cte-106	77	16	.	.	PUNCT
cte-106	78	1	another	another	DET
cte-106	78	2	question	question	NOUN
cte-106	78	3	was	be	AUX
cte-106	78	4	“	"	PUNCT
cte-106	78	5	what	what	PRON
cte-106	78	6	can	can	AUX
cte-106	78	7	improve	improve	VERB
cte-106	78	8	the	the	DET
cte-106	78	9	quality	quality	NOUN
cte-106	78	10	of	of	ADP
cte-106	78	11	teaching	teaching	NOUN
cte-106	78	12	mathematics	mathematic	NOUN
cte-106	78	13	?	?	PUNCT
cte-106	78	14	”	"	PUNCT
cte-106	78	15	.	.	PUNCT
cte-106	79	1	the	the	DET
cte-106	79	2	answers	answer	NOUN
cte-106	79	3	were	be	AUX
cte-106	79	4	:	:	PUNCT
cte-106	79	5	innovative	innovative	ADJ
cte-106	79	6	teaching	teaching	NOUN
cte-106	79	7	methods	method	NOUN
cte-106	79	8	,	,	PUNCT
cte-106	79	9	elevation	elevation	NOUN
cte-106	79	10	of	of	ADP
cte-106	79	11	research	research	NOUN
cte-106	79	12	-	-	PUNCT
cte-106	79	13	based	base	VERB
cte-106	79	14	learning	learning	NOUN
cte-106	79	15	.	.	PUNCT
cte-106	80	1	the	the	DET
cte-106	80	2	results	result	NOUN
cte-106	80	3	of	of	ADP
cte-106	80	4	a	a	DET
cte-106	80	5	survey	survey	NOUN
cte-106	80	6	of	of	ADP
cte-106	80	7	teachers	teacher	NOUN
cte-106	80	8	,	,	PUNCT
cte-106	80	9	graduates	graduate	NOUN
cte-106	80	10	and	and	CCONJ
cte-106	80	11	employers	employer	NOUN
cte-106	80	12	showed	show	VERB
cte-106	80	13	that	that	SCONJ
cte-106	80	14	mathematical	mathematical	ADJ
cte-106	80	15	education	education	NOUN
cte-106	80	16	needs	need	NOUN
cte-106	80	17	:	:	PUNCT
cte-106	80	18	•	•	NUM
cte-106	80	19	changes	change	NOUN
cte-106	80	20	in	in	ADP
cte-106	80	21	teaching	teaching	NOUN
cte-106	80	22	:	:	PUNCT
cte-106	80	23	using	use	VERB
cte-106	80	24	ibl	ibl	PROPN
cte-106	80	25	,	,	PUNCT
cte-106	80	26	active	active	ADJ
cte-106	80	27	learning	learning	NOUN
cte-106	80	28	,	,	PUNCT
cte-106	80	29	flipped	flip	VERB
cte-106	80	30	learning	learning	NOUN
cte-106	80	31	.	.	PUNCT
cte-106	81	1	•	•	NUM
cte-106	81	2	design	design	NOUN
cte-106	81	3	and	and	CCONJ
cte-106	81	4	redesign	redesign	NOUN
cte-106	81	5	of	of	ADP
cte-106	81	6	practical	practical	ADJ
cte-106	81	7	problems	problem	NOUN
cte-106	81	8	for	for	ADP
cte-106	81	9	teaching	teach	VERB
cte-106	81	10	mathematics	mathematic	NOUN
cte-106	81	11	(	(	PUNCT
cte-106	81	12	creation	creation	NOUN
cte-106	81	13	of	of	ADP
cte-106	81	14	a	a	DET
cte-106	81	15	system	system	NOUN
cte-106	81	16	of	of	ADP
cte-106	81	17	modeling	model	VERB
cte-106	81	18	problems	problem	NOUN
cte-106	81	19	)	)	PUNCT
cte-106	81	20	•	•	ADP
cte-106	81	21	improving	improve	VERB
cte-106	81	22	motivation	motivation	NOUN
cte-106	81	23	to	to	PART
cte-106	81	24	study	study	VERB
cte-106	81	25	mathematics	mathematic	NOUN
cte-106	81	26	.	.	PUNCT
cte-106	82	1	this	this	PRON
cte-106	82	2	means	mean	VERB
cte-106	82	3	to	to	PART
cte-106	82	4	demonstrate	demonstrate	VERB
cte-106	82	5	applied	applied	ADJ
cte-106	82	6	mathematics	mathematic	NOUN
cte-106	82	7	and	and	CCONJ
cte-106	82	8	to	to	PART
cte-106	82	9	involve	involve	VERB
cte-106	82	10	students	student	NOUN
cte-106	82	11	in	in	ADP
cte-106	82	12	business	business	NOUN
cte-106	82	13	activities	activity	NOUN
cte-106	82	14	using	use	VERB
cte-106	82	15	modeling	modeling	NOUN
cte-106	82	16	tasks	task	NOUN
cte-106	82	17	.	.	PUNCT
cte-106	83	1	that	that	PRON
cte-106	83	2	is	be	AUX
cte-106	83	3	why	why	SCONJ
cte-106	83	4	the	the	DET
cte-106	83	5	university	university	NOUN
cte-106	83	6	began	begin	VERB
cte-106	83	7	to	to	PART
cte-106	83	8	implement	implement	VERB
cte-106	83	9	:	:	PUNCT
cte-106	83	10	99	99	NUM
cte-106	83	11	cte	cte	NOUN
cte-106	83	12	workshop	workshop	NOUN
cte-106	83	13	proceedings	proceeding	NOUN
cte-106	83	14	,	,	PUNCT
cte-106	83	15	2022	2022	NUM
cte-106	83	16	,	,	PUNCT
cte-106	83	17	vol	vol	NOUN
cte-106	83	18	.	.	NOUN
cte-106	83	19	9	9	NUM
cte-106	83	20	:	:	PUNCT
cte-106	83	21	cte-2021	cte-2021	NOUN
cte-106	83	22	,	,	PUNCT
cte-106	83	23	pp	pp	ADJ
cte-106	83	24	.	.	PUNCT
cte-106	84	1	95	95	NUM
cte-106	84	2	-	-	SYM
cte-106	84	3	106	106	NUM
cte-106	84	4	•	•	NOUN
cte-106	84	5	the	the	DET
cte-106	84	6	new	new	ADJ
cte-106	84	7	innovative	innovative	ADJ
cte-106	84	8	method	method	NOUN
cte-106	84	9	of	of	ADP
cte-106	84	10	teaching	teach	VERB
cte-106	84	11	mathematics	mathematic	NOUN
cte-106	84	12	(	(	PUNCT
cte-106	84	13	based	base	VERB
cte-106	84	14	on	on	ADP
cte-106	84	15	the	the	DET
cte-106	84	16	introduction	introduction	NOUN
cte-106	84	17	of	of	ADP
cte-106	84	18	ibl	ibl	PROPN
cte-106	84	19	–	–	PUNCT
cte-106	84	20	inquiry	inquiry	NOUN
cte-106	84	21	-	-	PUNCT
cte-106	84	22	based	base	VERB
cte-106	84	23	learning	learning	NOUN
cte-106	84	24	)	)	PUNCT
cte-106	84	25	•	•	X
cte-106	84	26	develop	develop	VERB
cte-106	84	27	business	business	NOUN
cte-106	84	28	mindset	mindset	NOUN
cte-106	84	29	for	for	ADP
cte-106	84	30	business	business	NOUN
cte-106	84	31	professions	profession	NOUN
cte-106	84	32	,	,	PUNCT
cte-106	84	33	but	but	CCONJ
cte-106	84	34	for	for	ADP
cte-106	84	35	mathematics	mathematic	NOUN
cte-106	84	36	too	too	ADV
cte-106	84	37	.	.	PUNCT
cte-106	85	1	this	this	PRON
cte-106	85	2	means	mean	VERB
cte-106	85	3	:	:	PUNCT
cte-106	85	4	–	–	PUNCT
cte-106	85	5	to	to	PART
cte-106	85	6	teach	teach	VERB
cte-106	85	7	mathematical	mathematical	ADJ
cte-106	85	8	modeling	modeling	NOUN
cte-106	85	9	related	relate	VERB
cte-106	85	10	to	to	ADP
cte-106	85	11	the	the	DET
cte-106	85	12	inquiry	inquiry	NOUN
cte-106	85	13	;	;	PUNCT
cte-106	85	14	–	–	PUNCT
cte-106	85	15	to	to	PART
cte-106	85	16	use	use	VERB
cte-106	85	17	mathematical	mathematical	ADJ
cte-106	85	18	models	model	NOUN
cte-106	85	19	to	to	PART
cte-106	85	20	solve	solve	VERB
cte-106	85	21	practical	practical	ADJ
cte-106	85	22	problems	problem	NOUN
cte-106	85	23	;	;	PUNCT
cte-106	85	24	–	–	PUNCT
cte-106	85	25	to	to	PART
cte-106	85	26	implement	implement	VERB
cte-106	85	27	innovations	innovation	NOUN
cte-106	85	28	by	by	ADP
cte-106	85	29	involving	involve	VERB
cte-106	85	30	the	the	DET
cte-106	85	31	students	student	NOUN
cte-106	85	32	to	to	PART
cte-106	85	33	develop	develop	VERB
cte-106	85	34	the	the	DET
cte-106	85	35	startups	startup	NOUN
cte-106	85	36	.	.	PUNCT
cte-106	86	1	the	the	DET
cte-106	86	2	first	first	ADJ
cte-106	86	3	stage	stage	NOUN
cte-106	86	4	of	of	ADP
cte-106	86	5	the	the	DET
cte-106	86	6	development	development	NOUN
cte-106	86	7	of	of	ADP
cte-106	86	8	the	the	DET
cte-106	86	9	university	university	NOUN
cte-106	86	10	into	into	ADP
cte-106	86	11	a	a	DET
cte-106	86	12	business	business	NOUN
cte-106	86	13	university	university	NOUN
cte-106	86	14	is	be	AUX
cte-106	86	15	the	the	DET
cte-106	86	16	creation	creation	NOUN
cte-106	86	17	of	of	ADP
cte-106	86	18	a	a	DET
cte-106	86	19	student	student	NOUN
cte-106	86	20	business	business	NOUN
cte-106	86	21	incubator	incubator	NOUN
cte-106	86	22	.	.	PUNCT
cte-106	87	1	the	the	DET
cte-106	87	2	challenge	challenge	NOUN
cte-106	87	3	for	for	ADP
cte-106	87	4	universities	university	NOUN
cte-106	87	5	is	be	AUX
cte-106	87	6	to	to	PART
cte-106	87	7	change	change	VERB
cte-106	87	8	approaches	approach	NOUN
cte-106	87	9	to	to	ADP
cte-106	87	10	teaching	teach	VERB
cte-106	87	11	mathematics	mathematic	NOUN
cte-106	87	12	.	.	PUNCT
cte-106	88	1	figure	figure	VERB
cte-106	88	2	6	6	NUM
cte-106	88	3	:	:	PUNCT
cte-106	88	4	development	development	NOUN
cte-106	88	5	of	of	ADP
cte-106	88	6	student	student	NOUN
cte-106	88	7	business	business	NOUN
cte-106	88	8	incubator	incubator	NOUN
cte-106	88	9	.	.	PUNCT
cte-106	89	1	4	4	X
cte-106	89	2	.	.	X
cte-106	89	3	application	application	NOUN
cte-106	89	4	of	of	ADP
cte-106	89	5	ibme	ibme	NOUN
cte-106	89	6	approaches	approach	NOUN
cte-106	89	7	in	in	ADP
cte-106	89	8	computer	computer	NOUN
cte-106	89	9	mathematical	mathematical	PROPN
cte-106	89	10	modeling	model	VERB
cte-106	89	11	the	the	DET
cte-106	89	12	problem	problem	NOUN
cte-106	89	13	of	of	ADP
cte-106	89	14	modeling	modeling	NOUN
cte-106	89	15	is	be	AUX
cte-106	89	16	that	that	SCONJ
cte-106	89	17	the	the	DET
cte-106	89	18	student	student	NOUN
cte-106	89	19	must	must	AUX
cte-106	89	20	use	use	VERB
cte-106	89	21	the	the	DET
cte-106	89	22	basic	basic	ADJ
cte-106	89	23	knowledge	knowledge	NOUN
cte-106	89	24	gained	gain	VERB
cte-106	89	25	in	in	ADP
cte-106	89	26	the	the	DET
cte-106	89	27	study	study	NOUN
cte-106	89	28	of	of	ADP
cte-106	89	29	previous	previous	ADJ
cte-106	89	30	disciplines	discipline	NOUN
cte-106	89	31	,	,	PUNCT
cte-106	89	32	and	and	CCONJ
cte-106	89	33	gain	gain	VERB
cte-106	89	34	new	new	ADJ
cte-106	89	35	knowledge	knowledge	NOUN
cte-106	89	36	needed	need	VERB
cte-106	89	37	to	to	PART
cte-106	89	38	study	study	VERB
cte-106	89	39	the	the	DET
cte-106	89	40	process	process	NOUN
cte-106	89	41	and	and	CCONJ
cte-106	89	42	further	further	ADJ
cte-106	89	43	modeling	modeling	NOUN
cte-106	89	44	.	.	PUNCT
cte-106	90	1	the	the	DET
cte-106	90	2	inquiry	inquiry	NOUN
cte-106	90	3	approach	approach	NOUN
cte-106	90	4	provides	provide	VERB
cte-106	90	5	insight	insight	NOUN
cte-106	90	6	into	into	ADP
cte-106	90	7	the	the	DET
cte-106	90	8	use	use	NOUN
cte-106	90	9	of	of	ADP
cte-106	90	10	fundamental	fundamental	ADJ
cte-106	90	11	concepts	concept	NOUN
cte-106	90	12	and	and	CCONJ
cte-106	90	13	knowledge	knowledge	NOUN
cte-106	90	14	but	but	CCONJ
cte-106	90	15	plays	play	VERB
cte-106	90	16	a	a	DET
cte-106	90	17	special	special	ADJ
cte-106	90	18	role	role	NOUN
cte-106	90	19	in	in	ADP
cte-106	90	20	acquiring	acquire	VERB
cte-106	90	21	new	new	ADJ
cte-106	90	22	approaches	approach	NOUN
cte-106	90	23	and	and	CCONJ
cte-106	90	24	methods	method	NOUN
cte-106	90	25	of	of	ADP
cte-106	90	26	knowledge	knowledge	NOUN
cte-106	90	27	.	.	PUNCT
cte-106	91	1	in	in	ADP
cte-106	91	2	the	the	DET
cte-106	91	3	course	course	NOUN
cte-106	91	4	of	of	ADP
cte-106	91	5	work	work	NOUN
cte-106	91	6	on	on	ADP
cte-106	91	7	the	the	DET
cte-106	91	8	platinum	platinum	NOUN
cte-106	91	9	project	project	NOUN
cte-106	91	10	,	,	PUNCT
cte-106	91	11	we	we	PRON
cte-106	91	12	identified	identify	VERB
cte-106	91	13	the	the	DET
cte-106	91	14	main	main	ADJ
cte-106	91	15	features	feature	NOUN
cte-106	91	16	that	that	PRON
cte-106	91	17	are	be	AUX
cte-106	91	18	present	present	ADJ
cte-106	91	19	when	when	SCONJ
cte-106	91	20	solving	solve	VERB
cte-106	91	21	modeling	modeling	NOUN
cte-106	91	22	problems	problem	NOUN
cte-106	91	23	.	.	PUNCT
cte-106	92	1	ability	ability	NOUN
cte-106	92	2	to	to	PART
cte-106	92	3	form	form	VERB
cte-106	92	4	several	several	ADJ
cte-106	92	5	hypotheses	hypothesis	NOUN
cte-106	92	6	,	,	PUNCT
cte-106	92	7	understanding	understand	VERB
cte-106	92	8	the	the	DET
cte-106	92	9	conditions	condition	NOUN
cte-106	92	10	of	of	ADP
cte-106	92	11	the	the	DET
cte-106	92	12	problem	problem	NOUN
cte-106	92	13	.	.	PUNCT
cte-106	93	1	•	•	ADV
cte-106	93	2	there	there	PRON
cte-106	93	3	are	be	VERB
cte-106	93	4	several	several	ADJ
cte-106	93	5	ways	way	NOUN
cte-106	93	6	to	to	PART
cte-106	93	7	solve	solve	VERB
cte-106	93	8	the	the	DET
cte-106	93	9	problem	problem	NOUN
cte-106	93	10	.	.	PUNCT
cte-106	94	1	•	•	NUM
cte-106	94	2	the	the	DET
cte-106	94	3	presence	presence	NOUN
cte-106	94	4	of	of	ADP
cte-106	94	5	a	a	DET
cte-106	94	6	technical	technical	ADJ
cte-106	94	7	,	,	PUNCT
cte-106	94	8	natural	natural	ADJ
cte-106	94	9	science	science	NOUN
cte-106	94	10	,	,	PUNCT
cte-106	94	11	economic	economic	ADJ
cte-106	94	12	sense	sense	NOUN
cte-106	94	13	of	of	ADP
cte-106	94	14	the	the	DET
cte-106	94	15	problem	problem	NOUN
cte-106	94	16	in	in	ADP
cte-106	94	17	the	the	DET
cte-106	94	18	context	context	NOUN
cte-106	94	19	of	of	ADP
cte-106	94	20	professional	professional	ADJ
cte-106	94	21	orientation	orientation	NOUN
cte-106	94	22	.	.	PUNCT
cte-106	95	1	100	100	NUM
cte-106	95	2	cte	cte	NOUN
cte-106	95	3	workshop	workshop	NOUN
cte-106	95	4	proceedings	proceeding	NOUN
cte-106	95	5	,	,	PUNCT
cte-106	95	6	2022	2022	NUM
cte-106	95	7	,	,	PUNCT
cte-106	95	8	vol	vol	NOUN
cte-106	95	9	.	.	NOUN
cte-106	95	10	9	9	NUM
cte-106	95	11	:	:	PUNCT
cte-106	95	12	cte-2021	cte-2021	NOUN
cte-106	95	13	,	,	PUNCT
cte-106	95	14	pp	pp	ADJ
cte-106	95	15	.	.	PUNCT
cte-106	96	1	95	95	NUM
cte-106	96	2	-	-	SYM
cte-106	96	3	106	106	NUM
cte-106	96	4	•	•	NUM
cte-106	96	5	the	the	DET
cte-106	96	6	complexity	complexity	NOUN
cte-106	96	7	of	of	ADP
cte-106	96	8	mathematical	mathematical	ADJ
cte-106	96	9	knowledge	knowledge	NOUN
cte-106	96	10	,	,	PUNCT
cte-106	96	11	methods	method	NOUN
cte-106	96	12	and	and	CCONJ
cte-106	96	13	procedures	procedure	NOUN
cte-106	96	14	are	be	AUX
cte-106	96	15	based	base	VERB
cte-106	96	16	on	on	ADP
cte-106	96	17	“	"	PUNCT
cte-106	96	18	analysis	analysis	NOUN
cte-106	96	19	by	by	ADP
cte-106	96	20	synthesis	synthesis	NOUN
cte-106	96	21	”	"	PUNCT
cte-106	96	22	.	.	PUNCT
cte-106	97	1	ibme	ibme	PROPN
cte-106	97	2	teaching	teaching	NOUN
cte-106	97	3	encourages	encourage	VERB
cte-106	97	4	students	student	NOUN
cte-106	97	5	to	to	PART
cte-106	97	6	take	take	VERB
cte-106	97	7	a	a	DET
cte-106	97	8	different	different	ADJ
cte-106	97	9	look	look	NOUN
cte-106	97	10	at	at	ADP
cte-106	97	11	previously	previously	ADV
cte-106	97	12	studied	study	VERB
cte-106	97	13	material	material	NOUN
cte-106	97	14	,	,	PUNCT
cte-106	97	15	see	see	VERB
cte-106	97	16	fundamental	fundamental	ADJ
cte-106	97	17	concepts	concept	NOUN
cte-106	97	18	applied	apply	VERB
cte-106	97	19	,	,	PUNCT
cte-106	97	20	and	and	CCONJ
cte-106	97	21	find	find	VERB
cte-106	97	22	knowledge	knowledge	NOUN
cte-106	97	23	gaps	gap	NOUN
cte-106	97	24	that	that	PRON
cte-106	97	25	they	they	PRON
cte-106	97	26	have	have	AUX
cte-106	97	27	forgotten	forget	VERB
cte-106	97	28	or	or	CCONJ
cte-106	97	29	overlooked	overlook	VERB
cte-106	97	30	.	.	PUNCT
cte-106	98	1	if	if	SCONJ
cte-106	98	2	in	in	ADP
cte-106	98	3	teaching	teach	VERB
cte-106	98	4	fundamental	fundamental	ADJ
cte-106	98	5	mathematical	mathematical	ADJ
cte-106	98	6	disciplines	discipline	NOUN
cte-106	98	7	a	a	DET
cte-106	98	8	query	query	NOUN
cte-106	98	9	is	be	AUX
cte-106	98	10	used	use	VERB
cte-106	98	11	to	to	PART
cte-106	98	12	obtain	obtain	VERB
cte-106	98	13	new	new	ADJ
cte-106	98	14	knowledge	knowledge	NOUN
cte-106	98	15	(	(	PUNCT
cte-106	98	16	hypotheses	hypothesis	NOUN
cte-106	98	17	,	,	PUNCT
cte-106	98	18	consequences	consequence	NOUN
cte-106	98	19	,	,	PUNCT
cte-106	98	20	etc	etc	X
cte-106	98	21	.	.	X
cte-106	98	22	)	)	PUNCT
cte-106	98	23	,	,	PUNCT
cte-106	98	24	then	then	ADV
cte-106	98	25	in	in	ADP
cte-106	98	26	mathematical	mathematical	ADJ
cte-106	98	27	modeling	modeling	NOUN
cte-106	98	28	the	the	DET
cte-106	98	29	query	query	NOUN
cte-106	98	30	is	be	AUX
cte-106	98	31	used	use	VERB
cte-106	98	32	at	at	ADP
cte-106	98	33	each	each	DET
cte-106	98	34	stage	stage	NOUN
cte-106	98	35	of	of	ADP
cte-106	98	36	modeling	modeling	NOUN
cte-106	98	37	.	.	PUNCT
cte-106	99	1	students	student	NOUN
cte-106	99	2	have	have	VERB
cte-106	99	3	to	to	PART
cte-106	99	4	formulate	formulate	VERB
cte-106	99	5	a	a	DET
cte-106	99	6	mathematical	mathematical	ADJ
cte-106	99	7	model	model	NOUN
cte-106	99	8	,	,	PUNCT
cte-106	99	9	hypotheses	hypothesis	NOUN
cte-106	99	10	are	be	AUX
cte-106	99	11	put	put	VERB
cte-106	99	12	forward	forward	ADV
cte-106	99	13	(	(	PUNCT
cte-106	99	14	students	student	NOUN
cte-106	99	15	put	put	VERB
cte-106	99	16	forward	forward	ADV
cte-106	99	17	their	their	PRON
cte-106	99	18	own	own	ADJ
cte-106	99	19	hypotheses	hypothesis	NOUN
cte-106	99	20	)	)	PUNCT
cte-106	99	21	.	.	PUNCT
cte-106	100	1	at	at	ADP
cte-106	100	2	this	this	DET
cte-106	100	3	stage	stage	NOUN
cte-106	100	4	,	,	PUNCT
cte-106	100	5	students	student	NOUN
cte-106	100	6	offer	offer	VERB
cte-106	100	7	different	different	ADJ
cte-106	100	8	hypotheses	hypothesis	NOUN
cte-106	100	9	and	and	CCONJ
cte-106	100	10	,	,	PUNCT
cte-106	100	11	during	during	ADP
cte-106	100	12	the	the	DET
cte-106	100	13	discussion	discussion	NOUN
cte-106	100	14	,	,	PUNCT
cte-106	100	15	they	they	PRON
cte-106	100	16	will	will	AUX
cte-106	100	17	come	come	VERB
cte-106	100	18	to	to	ADP
cte-106	100	19	a	a	DET
cte-106	100	20	choice	choice	NOUN
cte-106	100	21	.	.	PUNCT
cte-106	101	1	it	it	PRON
cte-106	101	2	is	be	AUX
cte-106	101	3	necessary	necessary	ADJ
cte-106	101	4	to	to	PART
cte-106	101	5	answer	answer	VERB
cte-106	101	6	the	the	DET
cte-106	101	7	questions	question	NOUN
cte-106	101	8	:	:	PUNCT
cte-106	101	9	what	what	PRON
cte-106	101	10	is	be	AUX
cte-106	101	11	the	the	DET
cte-106	101	12	problem	problem	NOUN
cte-106	101	13	?	?	PUNCT
cte-106	102	1	•	•	NOUN
cte-106	102	2	the	the	DET
cte-106	102	3	problem	problem	NOUN
cte-106	102	4	is	be	AUX
cte-106	102	5	open	open	ADJ
cte-106	102	6	and	and	CCONJ
cte-106	102	7	students	student	NOUN
cte-106	102	8	must	must	AUX
cte-106	102	9	develop	develop	VERB
cte-106	102	10	their	their	PRON
cte-106	102	11	own	own	ADJ
cte-106	102	12	protocols	protocol	NOUN
cte-106	102	13	;	;	PUNCT
cte-106	102	14	•	•	ADP
cte-106	102	15	the	the	DET
cte-106	102	16	problem	problem	NOUN
cte-106	102	17	is	be	AUX
cte-106	102	18	partially	partially	ADV
cte-106	102	19	open	open	ADJ
cte-106	102	20	and	and	CCONJ
cte-106	102	21	students	student	NOUN
cte-106	102	22	have	have	VERB
cte-106	102	23	to	to	PART
cte-106	102	24	deal	deal	VERB
cte-106	102	25	with	with	ADP
cte-106	102	26	limited	limited	ADJ
cte-106	102	27	materials	material	NOUN
cte-106	102	28	;	;	PUNCT
cte-106	102	29	•	•	NUM
cte-106	102	30	the	the	DET
cte-106	102	31	situation	situation	NOUN
cte-106	102	32	for	for	ADP
cte-106	102	33	students	student	NOUN
cte-106	102	34	is	be	AUX
cte-106	102	35	new	new	ADJ
cte-106	102	36	.	.	PUNCT
cte-106	103	1	they	they	PRON
cte-106	103	2	need	need	VERB
cte-106	103	3	to	to	PART
cte-106	103	4	find	find	VERB
cte-106	103	5	a	a	DET
cte-106	103	6	way	way	NOUN
cte-106	103	7	to	to	PART
cte-106	103	8	solve	solve	VERB
cte-106	103	9	the	the	DET
cte-106	103	10	problem	problem	NOUN
cte-106	103	11	.	.	PUNCT
cte-106	104	1	the	the	DET
cte-106	104	2	teacher	teacher	NOUN
cte-106	104	3	provides	provide	VERB
cte-106	104	4	the	the	DET
cte-106	104	5	relevant	relevant	ADJ
cte-106	104	6	material	material	NOUN
cte-106	104	7	to	to	PART
cte-106	104	8	make	make	VERB
cte-106	104	9	a	a	DET
cte-106	104	10	request	request	NOUN
cte-106	104	11	:	:	PUNCT
cte-106	104	12	•	•	ADP
cte-106	104	13	what	what	PRON
cte-106	104	14	are	be	AUX
cte-106	104	15	the	the	DET
cte-106	104	16	components	component	NOUN
cte-106	104	17	of	of	ADP
cte-106	104	18	the	the	DET
cte-106	104	19	system	system	NOUN
cte-106	104	20	process	process	NOUN
cte-106	104	21	,	,	PUNCT
cte-106	104	22	how	how	SCONJ
cte-106	104	23	do	do	AUX
cte-106	104	24	they	they	PRON
cte-106	104	25	interact	interact	VERB
cte-106	104	26	?	?	PUNCT
cte-106	105	1	•	•	NUM
cte-106	105	2	which	which	DET
cte-106	105	3	compounds	compound	NOUN
cte-106	105	4	are	be	AUX
cte-106	105	5	harmful	harmful	ADJ
cte-106	105	6	,	,	PUNCT
cte-106	105	7	which	which	PRON
cte-106	105	8	interfere	interfere	VERB
cte-106	105	9	,	,	PUNCT
cte-106	105	10	which	which	PRON
cte-106	105	11	are	be	AUX
cte-106	105	12	neutral	neutral	ADJ
cte-106	105	13	,	,	PUNCT
cte-106	105	14	and	and	CCONJ
cte-106	105	15	which	which	PRON
cte-106	105	16	are	be	AUX
cte-106	105	17	useful	useful	ADJ
cte-106	105	18	?	?	PUNCT
cte-106	106	1	•	•	NUM
cte-106	106	2	what	what	PRON
cte-106	106	3	parts	part	NOUN
cte-106	106	4	and	and	CCONJ
cte-106	106	5	what	what	PRON
cte-106	106	6	can	can	AUX
cte-106	106	7	be	be	AUX
cte-106	106	8	replaced	replace	VERB
cte-106	106	9	and	and	CCONJ
cte-106	106	10	what	what	PRON
cte-106	106	11	not	not	PART
cte-106	106	12	?	?	PUNCT
cte-106	107	1	an	an	DET
cte-106	107	2	important	important	ADJ
cte-106	107	3	stage	stage	NOUN
cte-106	107	4	of	of	ADP
cte-106	107	5	modeling	modeling	NOUN
cte-106	107	6	is	be	AUX
cte-106	107	7	the	the	DET
cte-106	107	8	interpretation	interpretation	NOUN
cte-106	107	9	of	of	ADP
cte-106	107	10	the	the	DET
cte-106	107	11	results	result	NOUN
cte-106	107	12	in	in	ADP
cte-106	107	13	terms	term	NOUN
cte-106	107	14	of	of	ADP
cte-106	107	15	the	the	DET
cte-106	107	16	relevant	relevant	ADJ
cte-106	107	17	subject	subject	NOUN
cte-106	107	18	area	area	NOUN
cte-106	107	19	.	.	PUNCT
cte-106	108	1	and	and	CCONJ
cte-106	108	2	the	the	DET
cte-106	108	3	ability	ability	NOUN
cte-106	108	4	to	to	PART
cte-106	108	5	formulate	formulate	VERB
cte-106	108	6	a	a	DET
cte-106	108	7	problem	problem	NOUN
cte-106	108	8	based	base	VERB
cte-106	108	9	on	on	ADP
cte-106	108	10	a	a	DET
cte-106	108	11	real	real	ADJ
cte-106	108	12	situation	situation	NOUN
cte-106	108	13	,	,	PUNCT
cte-106	108	14	just	just	ADV
cte-106	108	15	means	mean	VERB
cte-106	108	16	that	that	SCONJ
cte-106	108	17	the	the	DET
cte-106	108	18	problem	problem	NOUN
cte-106	108	19	is	be	AUX
cte-106	108	20	based	base	VERB
cte-106	108	21	on	on	ADP
cte-106	108	22	the	the	DET
cte-106	108	23	properties	property	NOUN
cte-106	108	24	of	of	ADP
cte-106	108	25	the	the	DET
cte-106	108	26	mathematical	mathematical	ADJ
cte-106	108	27	model	model	NOUN
cte-106	108	28	of	of	ADP
cte-106	108	29	this	this	DET
cte-106	108	30	situation	situation	NOUN
cte-106	108	31	,	,	PUNCT
cte-106	108	32	which	which	PRON
cte-106	108	33	allows	allow	VERB
cte-106	108	34	it	it	PRON
cte-106	108	35	to	to	PART
cte-106	108	36	be	be	AUX
cte-106	108	37	interpreted	interpret	VERB
cte-106	108	38	.	.	PUNCT
cte-106	109	1	thus	thus	ADV
cte-106	109	2	,	,	PUNCT
cte-106	109	3	the	the	DET
cte-106	109	4	design	design	NOUN
cte-106	109	5	of	of	ADP
cte-106	109	6	problems	problem	NOUN
cte-106	109	7	,	,	PUNCT
cte-106	109	8	based	base	VERB
cte-106	109	9	on	on	ADP
cte-106	109	10	the	the	DET
cte-106	109	11	query	query	NOUN
cte-106	109	12	,	,	PUNCT
cte-106	109	13	can	can	AUX
cte-106	109	14	be	be	AUX
cte-106	109	15	considered	consider	VERB
cte-106	109	16	as	as	ADP
cte-106	109	17	a	a	DET
cte-106	109	18	technology	technology	NOUN
cte-106	109	19	of	of	ADP
cte-106	109	20	mathematical	mathematical	ADJ
cte-106	109	21	modeling	modeling	NOUN
cte-106	109	22	,	,	PUNCT
cte-106	109	23	which	which	PRON
cte-106	109	24	directs	direct	VERB
cte-106	109	25	the	the	DET
cte-106	109	26	study	study	NOUN
cte-106	109	27	of	of	ADP
cte-106	109	28	the	the	DET
cte-106	109	29	mathematical	mathematical	ADJ
cte-106	109	30	model	model	NOUN
cte-106	109	31	by	by	ADP
cte-106	109	32	finding	find	VERB
cte-106	109	33	the	the	DET
cte-106	109	34	most	most	ADV
cte-106	109	35	realistically	realistically	ADV
cte-106	109	36	interpreted	interpret	VERB
cte-106	109	37	results	result	NOUN
cte-106	109	38	.	.	PUNCT
cte-106	110	1	our	our	PRON
cte-106	110	2	observations	observation	NOUN
cte-106	110	3	highlight	highlight	VERB
cte-106	110	4	that	that	SCONJ
cte-106	110	5	students	student	NOUN
cte-106	110	6	can	can	AUX
cte-106	110	7	:	:	PUNCT
cte-106	110	8	•	•	VERB
cte-106	110	9	participate	participate	VERB
cte-106	110	10	in	in	ADP
cte-106	110	11	research	research	NOUN
cte-106	110	12	on	on	ADP
cte-106	110	13	the	the	DET
cte-106	110	14	basis	basis	NOUN
cte-106	110	15	of	of	ADP
cte-106	110	16	inquiries	inquiry	NOUN
cte-106	110	17	;	;	PUNCT
cte-106	110	18	•	•	X
cte-106	110	19	use	use	VERB
cte-106	110	20	existing	exist	VERB
cte-106	110	21	models	model	NOUN
cte-106	110	22	in	in	ADP
cte-106	110	23	their	their	PRON
cte-106	110	24	queries	query	NOUN
cte-106	110	25	;	;	PUNCT
cte-106	110	26	•	•	ADV
cte-106	110	27	participate	participate	VERB
cte-106	110	28	in	in	ADP
cte-106	110	29	a	a	DET
cte-106	110	30	query	query	NOUN
cte-106	110	31	that	that	PRON
cte-106	110	32	results	result	VERB
cte-106	110	33	in	in	ADP
cte-106	110	34	a	a	DET
cte-106	110	35	revision	revision	NOUN
cte-106	110	36	of	of	ADP
cte-106	110	37	the	the	DET
cte-106	110	38	model	model	NOUN
cte-106	110	39	,	,	PUNCT
cte-106	110	40	use	use	VERB
cte-106	110	41	models	model	NOUN
cte-106	110	42	to	to	PART
cte-106	110	43	construct	construct	VERB
cte-106	110	44	explanations	explanation	NOUN
cte-106	110	45	,	,	PUNCT
cte-106	110	46	•	•	NUM
cte-106	110	47	use	use	NOUN
cte-106	110	48	models	model	NOUN
cte-106	110	49	to	to	PART
cte-106	110	50	“	"	PUNCT
cte-106	110	51	unify	unify	VERB
cte-106	110	52	”	"	PUNCT
cte-106	110	53	their	their	PRON
cte-106	110	54	understanding	understanding	NOUN
cte-106	110	55	and	and	CCONJ
cte-106	110	56	argue	argue	NOUN
cte-106	110	57	.	.	PUNCT
cte-106	111	1	students	student	NOUN
cte-106	111	2	use	use	VERB
cte-106	111	3	ict	ict	NOUN
cte-106	111	4	tools	tool	NOUN
cte-106	111	5	to	to	PART
cte-106	111	6	interpret	interpret	VERB
cte-106	111	7	the	the	DET
cte-106	111	8	simulation	simulation	NOUN
cte-106	111	9	results	result	NOUN
cte-106	111	10	,	,	PUNCT
cte-106	111	11	as	as	SCONJ
cte-106	111	12	exploring	explore	VERB
cte-106	111	13	the	the	DET
cte-106	111	14	model	model	NOUN
cte-106	111	15	takes	take	VERB
cte-106	111	16	time	time	NOUN
cte-106	111	17	and	and	CCONJ
cte-106	111	18	effort	effort	NOUN
cte-106	111	19	.	.	PUNCT
cte-106	112	1	in	in	ADP
cte-106	112	2	addition	addition	NOUN
cte-106	112	3	,	,	PUNCT
cte-106	112	4	a	a	DET
cte-106	112	5	model	model	NOUN
cte-106	112	6	is	be	AUX
cte-106	112	7	created	create	VERB
cte-106	112	8	,	,	PUNCT
cte-106	112	9	as	as	ADP
cte-106	112	10	a	a	DET
cte-106	112	11	rule	rule	NOUN
cte-106	112	12	,	,	PUNCT
cte-106	112	13	it	it	PRON
cte-106	112	14	is	be	AUX
cte-106	112	15	a	a	DET
cte-106	112	16	simplified	simplified	ADJ
cte-106	112	17	prototype	prototype	NOUN
cte-106	112	18	of	of	ADP
cte-106	112	19	a	a	DET
cte-106	112	20	modeled	model	VERB
cte-106	112	21	process	process	NOUN
cte-106	112	22	(	(	PUNCT
cte-106	112	23	or	or	CCONJ
cte-106	112	24	system	system	NOUN
cte-106	112	25	)	)	PUNCT
cte-106	112	26	,	,	PUNCT
cte-106	112	27	the	the	DET
cte-106	112	28	use	use	NOUN
cte-106	112	29	of	of	ADP
cte-106	112	30	ict	ict	PROPN
cte-106	112	31	technologies	technology	NOUN
cte-106	112	32	makes	make	VERB
cte-106	112	33	it	it	PRON
cte-106	112	34	possible	possible	ADJ
cte-106	112	35	to	to	PART
cte-106	112	36	study	study	VERB
cte-106	112	37	the	the	DET
cte-106	112	38	model	model	NOUN
cte-106	112	39	by	by	ADP
cte-106	112	40	increasing	increase	VERB
cte-106	112	41	the	the	DET
cte-106	112	42	number	number	NOUN
cte-106	112	43	of	of	ADP
cte-106	112	44	parameters	parameter	NOUN
cte-106	112	45	and	and	CCONJ
cte-106	112	46	additional	additional	ADJ
cte-106	112	47	conditions	condition	NOUN
cte-106	112	48	that	that	PRON
cte-106	112	49	affect	affect	VERB
cte-106	112	50	it	it	PRON
cte-106	112	51	.	.	PUNCT
cte-106	113	1	task	task	NOUN
cte-106	113	2	.	.	PUNCT
cte-106	114	1	students	student	NOUN
cte-106	114	2	were	be	AUX
cte-106	114	3	asked	ask	VERB
cte-106	114	4	to	to	PART
cte-106	114	5	simulate	simulate	VERB
cte-106	114	6	the	the	DET
cte-106	114	7	development	development	NOUN
cte-106	114	8	of	of	ADP
cte-106	114	9	a	a	DET
cte-106	114	10	viral	viral	ADJ
cte-106	114	11	disease	disease	NOUN
cte-106	114	12	at	at	ADP
cte-106	114	13	the	the	DET
cte-106	114	14	university	university	NOUN
cte-106	114	15	.	.	PUNCT
cte-106	115	1	dynamics	dynamic	NOUN
cte-106	115	2	of	of	ADP
cte-106	115	3	the	the	DET
cte-106	115	4	number	number	NOUN
cte-106	115	5	of	of	ADP
cte-106	115	6	cases	case	NOUN
cte-106	115	7	𝐼(𝑡	𝐼(𝑡	NUM
cte-106	115	8	)	)	PUNCT
cte-106	115	9	by	by	ADP
cte-106	115	10	days	day	NOUN
cte-106	115	11	is	be	AUX
cte-106	115	12	presented	present	VERB
cte-106	115	13	in	in	ADP
cte-106	115	14	table	table	NOUN
cte-106	115	15	1	1	NUM
cte-106	115	16	.	.	PUNCT
cte-106	116	1	𝑆(𝑡	𝑆(𝑡	VERB
cte-106	116	2	)	)	PUNCT
cte-106	116	3	the	the	DET
cte-106	116	4	number	number	NOUN
cte-106	116	5	of	of	ADP
cte-106	116	6	healthy	healthy	ADJ
cte-106	116	7	,	,	PUNCT
cte-106	116	8	not	not	PART
cte-106	116	9	yet	yet	ADV
cte-106	116	10	sick	sick	ADJ
cte-106	116	11	students	student	NOUN
cte-106	116	12	.	.	PUNCT
cte-106	117	1	students	student	NOUN
cte-106	117	2	make	make	VERB
cte-106	117	3	an	an	DET
cte-106	117	4	analysis	analysis	NOUN
cte-106	117	5	of	of	ADP
cte-106	117	6	the	the	DET
cte-106	117	7	development	development	NOUN
cte-106	117	8	of	of	ADP
cte-106	117	9	the	the	DET
cte-106	117	10	disease	disease	NOUN
cte-106	117	11	and	and	CCONJ
cte-106	117	12	forecast	forecast	VERB
cte-106	117	13	its	its	PRON
cte-106	117	14	development	development	NOUN
cte-106	117	15	for	for	ADP
cte-106	117	16	the	the	DET
cte-106	117	17	future	future	NOUN
cte-106	117	18	.	.	PUNCT
cte-106	118	1	101	101	NUM
cte-106	118	2	cte	cte	PROPN
cte-106	118	3	workshop	workshop	NOUN
cte-106	118	4	proceedings	proceeding	NOUN
cte-106	118	5	,	,	PUNCT
cte-106	118	6	2022	2022	NUM
cte-106	118	7	,	,	PUNCT
cte-106	118	8	vol	vol	NOUN
cte-106	118	9	.	.	NOUN
cte-106	118	10	9	9	NUM
cte-106	118	11	:	:	PUNCT
cte-106	118	12	cte-2021	cte-2021	NOUN
cte-106	118	13	,	,	PUNCT
cte-106	118	14	pp	pp	ADJ
cte-106	118	15	.	.	PUNCT
cte-106	119	1	95	95	NUM
cte-106	119	2	-	-	SYM
cte-106	119	3	106	106	NUM
cte-106	119	4	table	table	NOUN
cte-106	119	5	1	1	NUM
cte-106	119	6	statistics	statistic	NOUN
cte-106	119	7	of	of	ADP
cte-106	119	8	the	the	DET
cte-106	119	9	sick	sick	ADJ
cte-106	119	10	and	and	CCONJ
cte-106	119	11	recovered	recover	VERB
cte-106	119	12	day	day	NOUN
cte-106	119	13	2	2	NUM
cte-106	119	14	3	3	NUM
cte-106	119	15	4	4	NUM
cte-106	119	16	5	5	NUM
cte-106	119	17	6	6	NUM
cte-106	119	18	7	7	NUM
cte-106	119	19	8	8	NUM
cte-106	119	20	9	9	NUM
cte-106	119	21	10	10	NUM
cte-106	119	22	11	11	NUM
cte-106	119	23	12	12	NUM
cte-106	119	24	13	13	NUM
cte-106	119	25	14	14	NUM
cte-106	119	26	𝑆(𝑡	𝑆(𝑡	ADJ
cte-106	119	27	)	)	PUNCT
cte-106	119	28	762	762	NUM
cte-106	119	29	740	740	NUM
cte-106	119	30	650	650	NUM
cte-106	119	31	40	40	NUM
cte-106	119	32	250	250	NUM
cte-106	119	33	120	120	NUM
cte-106	119	34	80	80	NUM
cte-106	119	35	50	50	NUM
cte-106	119	36	20	20	NUM
cte-106	119	37	18	18	NUM
cte-106	119	38	15	15	NUM
cte-106	119	39	13	13	NUM
cte-106	119	40	10	10	NUM
cte-106	119	41	𝐼(𝑡	𝐼(𝑡	NOUN
cte-106	119	42	)	)	PUNCT
cte-106	119	43	1	1	NUM
cte-106	119	44	20	20	NUM
cte-106	119	45	80	80	NUM
cte-106	119	46	220	220	NUM
cte-106	119	47	300	300	NUM
cte-106	119	48	260	260	NUM
cte-106	119	49	240	240	NUM
cte-106	119	50	190	190	NUM
cte-106	119	51	120	120	NUM
cte-106	119	52	80	80	NUM
cte-106	119	53	20	20	NUM
cte-106	119	54	5	5	NUM
cte-106	119	55	2	2	NUM
cte-106	119	56	viruses	virus	NOUN
cte-106	119	57	epidemic	epidemic	NOUN
cte-106	119	58	model	model	NOUN
cte-106	119	59	among	among	ADP
cte-106	119	60	students	student	NOUN
cte-106	119	61	due	due	ADJ
cte-106	119	62	to	to	ADP
cte-106	119	63	contact	contact	NOUN
cte-106	119	64	with	with	ADP
cte-106	119	65	an	an	DET
cte-106	119	66	infected	infect	VERB
cte-106	119	67	possible	possible	ADJ
cte-106	119	68	transmission	transmission	NOUN
cte-106	119	69	of	of	ADP
cte-106	119	70	infection	infection	NOUN
cte-106	119	71	to	to	ADP
cte-106	119	72	a	a	DET
cte-106	119	73	healthy	healthy	ADJ
cte-106	119	74	student	student	NOUN
cte-106	119	75	and	and	CCONJ
cte-106	119	76	how	how	SCONJ
cte-106	119	77	consequence	consequence	NOUN
cte-106	119	78	,	,	PUNCT
cte-106	119	79	his	his	PRON
cte-106	119	80	illness	illness	NOUN
cte-106	119	81	.	.	PUNCT
cte-106	120	1	infected	infected	ADJ
cte-106	120	2	students	student	NOUN
cte-106	120	3	with	with	AUX
cte-106	120	4	get	get	VERB
cte-106	120	5	well	well	ADV
cte-106	120	6	over	over	ADP
cte-106	120	7	time	time	NOUN
cte-106	120	8	.	.	PUNCT
cte-106	121	1	after	after	ADP
cte-106	121	2	recovery	recovery	NOUN
cte-106	121	3	,	,	PUNCT
cte-106	121	4	students	student	NOUN
cte-106	121	5	can	can	AUX
cte-106	121	6	acquire	acquire	VERB
cte-106	121	7	immunity	immunity	NOUN
cte-106	121	8	and	and	CCONJ
cte-106	121	9	no	no	ADV
cte-106	121	10	longer	long	ADV
cte-106	121	11	get	get	VERB
cte-106	121	12	sick	sick	ADJ
cte-106	121	13	.	.	PUNCT
cte-106	122	1	students	student	NOUN
cte-106	122	2	do	do	AUX
cte-106	122	3	not	not	PART
cte-106	122	4	come	come	VERB
cte-106	122	5	into	into	ADP
cte-106	122	6	contact	contact	NOUN
cte-106	122	7	with	with	ADP
cte-106	122	8	other	other	ADJ
cte-106	122	9	infected	infected	ADJ
cte-106	122	10	people	people	NOUN
cte-106	122	11	outside	outside	ADP
cte-106	122	12	the	the	DET
cte-106	122	13	school	school	NOUN
cte-106	122	14	.	.	PUNCT
cte-106	123	1	contacts	contact	NOUN
cte-106	123	2	with	with	ADP
cte-106	123	3	teachers	teacher	NOUN
cte-106	123	4	are	be	AUX
cte-106	123	5	not	not	PART
cte-106	123	6	taken	take	VERB
cte-106	123	7	into	into	ADP
cte-106	123	8	account	account	NOUN
cte-106	123	9	.	.	PUNCT
cte-106	124	1	model	model	NOUN
cte-106	124	2	parameters	parameter	NOUN
cte-106	124	3	:	:	PUNCT
cte-106	124	4	•	•	ADP
cte-106	124	5	the	the	DET
cte-106	124	6	number	number	NOUN
cte-106	124	7	of	of	ADP
cte-106	124	8	students	student	NOUN
cte-106	124	9	in	in	ADP
cte-106	124	10	the	the	DET
cte-106	124	11	institution	institution	NOUN
cte-106	124	12	.	.	PUNCT
cte-106	125	1	•	•	NOUN
cte-106	125	2	the	the	DET
cte-106	125	3	likelihood	likelihood	NOUN
cte-106	125	4	of	of	ADP
cte-106	125	5	illness	illness	NOUN
cte-106	125	6	.	.	PUNCT
cte-106	126	1	•	•	NUM
cte-106	126	2	the	the	DET
cte-106	126	3	likelihood	likelihood	NOUN
cte-106	126	4	of	of	ADP
cte-106	126	5	recovery	recovery	NOUN
cte-106	126	6	.	.	PUNCT
cte-106	127	1	the	the	DET
cte-106	127	2	mathematical	mathematical	ADJ
cte-106	127	3	model	model	NOUN
cte-106	127	4	of	of	ADP
cte-106	127	5	the	the	DET
cte-106	127	6	development	development	NOUN
cte-106	127	7	of	of	ADP
cte-106	127	8	the	the	DET
cte-106	127	9	epidemic	epidemic	NOUN
cte-106	127	10	can	can	AUX
cte-106	127	11	be	be	AUX
cte-106	127	12	represented	represent	VERB
cte-106	127	13	by	by	ADP
cte-106	127	14	a	a	DET
cte-106	127	15	system	system	NOUN
cte-106	127	16	of	of	ADP
cte-106	127	17	three	three	NUM
cte-106	127	18	differential	differential	ADJ
cte-106	127	19	equations	equation	NOUN
cte-106	127	20	first	first	ADV
cte-106	127	21	order⎧⎪⎨⎪⎩	order⎧⎪⎨⎪⎩	PROPN
cte-106	127	22	𝑑𝑆	𝑑𝑆	ADJ
cte-106	127	23	𝑑𝑡	𝑑𝑡	ADP
cte-106	127	24	=	=	PUNCT
cte-106	127	25	−𝑎𝑆𝐼	−𝑎𝑆𝐼	NOUN
cte-106	127	26	𝑑𝐼	𝑑𝐼	ADJ
cte-106	127	27	𝑑𝑡	𝑑𝑡	ADP
cte-106	127	28	=	=	PUNCT
cte-106	127	29	𝑎𝑆𝐼	𝑎𝑆𝐼	NOUN
cte-106	127	30	−	−	PROPN
cte-106	127	31	𝑏𝐼	𝑏𝐼	SCONJ
cte-106	127	32	𝑑𝑅	𝑑𝑅	VERB
cte-106	127	33	𝑑𝑡	𝑑𝑡	ADP
cte-106	127	34	=	=	SYM
cte-106	127	35	𝑏𝐼	𝑏𝐼	X
cte-106	127	36	(	(	PUNCT
cte-106	127	37	1	1	NUM
cte-106	127	38	)	)	PUNCT
cte-106	127	39	1st	1st	ADJ
cte-106	127	40	equation	equation	NOUN
cte-106	127	41	–	–	PUNCT
cte-106	127	42	the	the	DET
cte-106	127	43	rate	rate	NOUN
cte-106	127	44	of	of	ADP
cte-106	127	45	illness	illness	NOUN
cte-106	127	46	in	in	ADP
cte-106	127	47	healthy	healthy	ADJ
cte-106	127	48	students	student	NOUN
cte-106	127	49	,	,	PUNCT
cte-106	127	50	the	the	DET
cte-106	127	51	number	number	NOUN
cte-106	127	52	of	of	ADP
cte-106	127	53	which	which	PRON
cte-106	127	54	decreases	decrease	VERB
cte-106	127	55	,	,	PUNCT
cte-106	127	56	the	the	DET
cte-106	127	57	likelihood	likelihood	NOUN
cte-106	127	58	of	of	ADP
cte-106	127	59	illness	illness	NOUN
cte-106	127	60	;	;	PUNCT
cte-106	127	61	2nd	2nd	ADJ
cte-106	127	62	equation	equation	NOUN
cte-106	127	63	–	–	PUNCT
cte-106	127	64	the	the	DET
cte-106	127	65	rate	rate	NOUN
cte-106	127	66	of	of	ADP
cte-106	127	67	change	change	NOUN
cte-106	127	68	in	in	ADP
cte-106	127	69	the	the	DET
cte-106	127	70	number	number	NOUN
cte-106	127	71	of	of	ADP
cte-106	127	72	cases	case	NOUN
cte-106	127	73	,	,	PUNCT
cte-106	127	74	recovered	recover	VERB
cte-106	127	75	and	and	CCONJ
cte-106	127	76	recovered	recover	VERB
cte-106	127	77	with	with	ADP
cte-106	127	78	probability	probability	NOUN
cte-106	127	79	𝑏	𝑏	NOUN
cte-106	127	80	;	;	PUNCT
cte-106	127	81	3rd	3rd	ADJ
cte-106	127	82	equation	equation	NOUN
cte-106	127	83	–	–	PUNCT
cte-106	127	84	the	the	DET
cte-106	127	85	rate	rate	NOUN
cte-106	127	86	of	of	ADP
cte-106	127	87	change	change	NOUN
cte-106	127	88	in	in	ADP
cte-106	127	89	the	the	DET
cte-106	127	90	number	number	NOUN
cte-106	127	91	of	of	ADP
cte-106	127	92	students	student	NOUN
cte-106	127	93	who	who	PRON
cte-106	127	94	have	have	AUX
cte-106	127	95	been	be	AUX
cte-106	127	96	ill	ill	ADJ
cte-106	127	97	and	and	CCONJ
cte-106	127	98	recovered	recover	VERB
cte-106	127	99	.	.	PUNCT
cte-106	128	1	𝑅(𝑡	𝑅(𝑡	X
cte-106	128	2	)	)	PUNCT
cte-106	128	3	=	=	PUNCT
cte-106	129	1	763−	763−	NUM
cte-106	129	2	𝑆(𝑡)−	𝑆(𝑡)−	PROPN
cte-106	129	3	𝐼(𝑡	𝐼(𝑡	PROPN
cte-106	129	4	)	)	PUNCT
cte-106	129	5	(	(	PUNCT
cte-106	129	6	2	2	X
cte-106	129	7	)	)	PUNCT
cte-106	129	8	is	be	AUX
cte-106	129	9	the	the	DET
cte-106	129	10	number	number	NOUN
cte-106	129	11	infected	infect	VERB
cte-106	129	12	recovered	recover	VERB
cte-106	129	13	and	and	CCONJ
cte-106	129	14	not	not	PART
cte-106	129	15	yet	yet	ADV
cte-106	129	16	ill	ill	ADJ
cte-106	129	17	.	.	PUNCT
cte-106	130	1	it	it	PRON
cte-106	130	2	is	be	AUX
cte-106	130	3	necessary	necessary	ADJ
cte-106	130	4	to	to	PART
cte-106	130	5	determine	determine	VERB
cte-106	130	6	the	the	DET
cte-106	130	7	probability	probability	NOUN
cte-106	130	8	coefficients	coefficient	NOUN
cte-106	130	9	of	of	ADP
cte-106	130	10	states	state	NOUN
cte-106	130	11	𝑎	𝑎	ADJ
cte-106	130	12	and	and	CCONJ
cte-106	130	13	𝑏.	𝑏.	ADJ
cte-106	130	14	linear	linear	ADJ
cte-106	130	15	interpolation	interpolation	NOUN
cte-106	130	16	gives	give	VERB
cte-106	130	17	values	value	NOUN
cte-106	130	18	for	for	ADP
cte-106	130	19	a	a	DET
cte-106	130	20	and	and	CCONJ
cte-106	130	21	b	b	NOUN
cte-106	130	22	coefficients	coefficient	NOUN
cte-106	130	23	0.0036	0.0036	NUM
cte-106	130	24	and	and	CCONJ
cte-106	130	25	0.94	0.94	NUM
cte-106	130	26	,	,	PUNCT
cte-106	130	27	respectively	respectively	ADV
cte-106	130	28	.	.	PUNCT
cte-106	131	1	simulation	simulation	NOUN
cte-106	131	2	algorithm	algorithm	PROPN
cte-106	131	3	let	let	VERB
cte-106	131	4	us	we	PRON
cte-106	131	5	construct	construct	VERB
cte-106	131	6	a	a	DET
cte-106	131	7	procedure	procedure	NOUN
cte-106	131	8	for	for	ADP
cte-106	131	9	calculating	calculate	VERB
cte-106	131	10	the	the	DET
cte-106	131	11	right	right	ADJ
cte-106	131	12	-	-	PUNCT
cte-106	131	13	hand	hand	NOUN
cte-106	131	14	side	side	NOUN
cte-106	131	15	of	of	ADP
cte-106	131	16	the	the	DET
cte-106	131	17	system	system	NOUN
cte-106	131	18	.	.	PUNCT
cte-106	132	1	the	the	DET
cte-106	132	2	results	result	NOUN
cte-106	132	3	are	be	AUX
cte-106	132	4	presented	present	VERB
cte-106	132	5	in	in	ADP
cte-106	132	6	figure	figure	NOUN
cte-106	132	7	10	10	NUM
cte-106	132	8	.	.	PUNCT
cte-106	133	1	the	the	DET
cte-106	133	2	graphs	graph	NOUN
cte-106	133	3	compare	compare	VERB
cte-106	133	4	the	the	DET
cte-106	133	5	theoretical	theoretical	ADJ
cte-106	133	6	curves	curve	NOUN
cte-106	133	7	and	and	CCONJ
cte-106	133	8	experimental	experimental	ADJ
cte-106	133	9	values	value	NOUN
cte-106	133	10	shown	show	VERB
cte-106	133	11	by	by	ADP
cte-106	133	12	the	the	DET
cte-106	133	13	“	"	PUNCT
cte-106	133	14	o	o	NOUN
cte-106	133	15	”	"	PUNCT
cte-106	133	16	markers	marker	NOUN
cte-106	133	17	.	.	PUNCT
cte-106	134	1	model	model	NOUN
cte-106	134	2	exploration	exploration	NOUN
cte-106	134	3	inquiry	inquiry	NOUN
cte-106	134	4	method	method	NOUN
cte-106	134	5	1	1	NUM
cte-106	134	6	.	.	PUNCT
cte-106	134	7	plot	plot	VERB
cte-106	134	8	the	the	DET
cte-106	134	9	function	function	NOUN
cte-106	134	10	𝑅(𝑡	𝑅(𝑡	NOUN
cte-106	134	11	)	)	PUNCT
cte-106	134	12	,	,	PUNCT
cte-106	134	13	reflecting	reflect	VERB
cte-106	134	14	the	the	DET
cte-106	134	15	dynamics	dynamic	NOUN
cte-106	134	16	of	of	ADP
cte-106	134	17	the	the	DET
cte-106	134	18	number	number	NOUN
cte-106	134	19	of	of	ADP
cte-106	134	20	students	student	NOUN
cte-106	134	21	who	who	PRON
cte-106	134	22	have	have	AUX
cte-106	134	23	had	have	VERB
cte-106	134	24	a	a	DET
cte-106	134	25	viral	viral	ADJ
cte-106	134	26	disease	disease	NOUN
cte-106	134	27	.	.	PUNCT
cte-106	135	1	102	102	NUM
cte-106	135	2	cte	cte	NOUN
cte-106	135	3	workshop	workshop	NOUN
cte-106	135	4	proceedings	proceeding	NOUN
cte-106	135	5	,	,	PUNCT
cte-106	135	6	2022	2022	NUM
cte-106	135	7	,	,	PUNCT
cte-106	135	8	vol	vol	NOUN
cte-106	135	9	.	.	NOUN
cte-106	135	10	9	9	NUM
cte-106	135	11	:	:	PUNCT
cte-106	135	12	cte-2021	cte-2021	NOUN
cte-106	135	13	,	,	PUNCT
cte-106	135	14	pp	pp	ADJ
cte-106	135	15	.	.	PUNCT
cte-106	135	16	95	95	NUM
cte-106	135	17	-	-	SYM
cte-106	135	18	106	106	NUM
cte-106	135	19	figure	figure	NOUN
cte-106	135	20	7	7	NUM
cte-106	135	21	:	:	PUNCT
cte-106	135	22	experimental	experimental	ADJ
cte-106	135	23	dependence	dependence	NOUN
cte-106	135	24	graph	graph	NOUN
cte-106	135	25	.	.	PUNCT
cte-106	135	26	figure	figure	NOUN
cte-106	135	27	8	8	NUM
cte-106	135	28	:	:	PUNCT
cte-106	135	29	linear	linear	ADJ
cte-106	135	30	interpolation	interpolation	NOUN
cte-106	135	31	.	.	PUNCT
cte-106	136	1	2	2	X
cte-106	136	2	.	.	X
cte-106	136	3	suppose	suppose	VERB
cte-106	136	4	that	that	SCONJ
cte-106	136	5	you	you	PRON
cte-106	136	6	have	have	AUX
cte-106	136	7	succeeded	succeed	VERB
cte-106	136	8	in	in	ADP
cte-106	136	9	analyzing	analyze	VERB
cte-106	136	10	an	an	DET
cte-106	136	11	epidemic	epidemic	NOUN
cte-106	136	12	for	for	ADP
cte-106	136	13	a	a	DET
cte-106	136	14	population	population	NOUN
cte-106	136	15	of	of	ADP
cte-106	136	16	a	a	DET
cte-106	136	17	small	small	ADJ
cte-106	136	18	town	town	NOUN
cte-106	136	19	.	.	PUNCT
cte-106	137	1	build	build	VERB
cte-106	137	2	a	a	DET
cte-106	137	3	mathematical	mathematical	ADJ
cte-106	137	4	model	model	NOUN
cte-106	137	5	.	.	PUNCT
cte-106	138	1	3	3	X
cte-106	138	2	.	.	X
cte-106	138	3	get	get	VERB
cte-106	138	4	the	the	DET
cte-106	138	5	curves	curve	NOUN
cte-106	138	6	of	of	ADP
cte-106	138	7	the	the	DET
cte-106	138	8	development	development	NOUN
cte-106	138	9	of	of	ADP
cte-106	138	10	the	the	DET
cte-106	138	11	epidemic	epidemic	NOUN
cte-106	138	12	.	.	PUNCT
cte-106	139	1	what	what	PRON
cte-106	139	2	are	be	AUX
cte-106	139	3	the	the	DET
cte-106	139	4	benefits	benefit	NOUN
cte-106	139	5	of	of	ADP
cte-106	139	6	knowing	know	VERB
cte-106	139	7	the	the	DET
cte-106	139	8	peak	peak	NOUN
cte-106	139	9	of	of	ADP
cte-106	139	10	the	the	DET
cte-106	139	11	epidemic	epidemic	NOUN
cte-106	139	12	?	?	PUNCT
cte-106	140	1	students	student	NOUN
cte-106	140	2	can	can	AUX
cte-106	140	3	present	present	VERB
cte-106	140	4	their	their	PRON
cte-106	140	5	own	own	ADJ
cte-106	140	6	experiences	experience	NOUN
cte-106	140	7	.	.	PUNCT
cte-106	141	1	in	in	ADP
cte-106	141	2	order	order	NOUN
cte-106	141	3	to	to	PART
cte-106	141	4	interpret	interpret	VERB
cte-106	141	5	the	the	DET
cte-106	141	6	simulation	simulation	NOUN
cte-106	141	7	results	result	NOUN
cte-106	141	8	,	,	PUNCT
cte-106	141	9	students	student	NOUN
cte-106	141	10	can	can	AUX
cte-106	141	11	use	use	VERB
cte-106	141	12	various	various	ADJ
cte-106	141	13	ict	ict	NOUN
cte-106	141	14	tools	tool	NOUN
cte-106	141	15	:	:	PUNCT
cte-106	141	16	spreadsheets	spreadsheet	NOUN
cte-106	141	17	,	,	PUNCT
cte-106	141	18	application	application	NOUN
cte-106	141	19	packages	package	NOUN
cte-106	141	20	matlab	matlab	PROPN
cte-106	141	21	,	,	PUNCT
cte-106	141	22	mathcad	mathcad	PROPN
cte-106	141	23	,	,	PUNCT
cte-106	141	24	freemat	freemat	NOUN
cte-106	141	25	,	,	PUNCT
cte-106	141	26	mathematica	mathematica	PROPN
cte-106	141	27	and	and	CCONJ
cte-106	141	28	others	other	NOUN
cte-106	141	29	.	.	PUNCT
cte-106	142	1	students	student	NOUN
cte-106	142	2	choosing	choose	VERB
cte-106	142	3	their	their	PRON
cte-106	142	4	way	way	NOUN
cte-106	142	5	of	of	ADP
cte-106	142	6	interpreting	interpret	VERB
cte-106	142	7	the	the	DET
cte-106	142	8	results	result	NOUN
cte-106	142	9	.	.	PUNCT
cte-106	143	1	5	5	X
cte-106	143	2	.	.	X
cte-106	143	3	conclusions	conclusion	NOUN
cte-106	143	4	employers	employer	NOUN
cte-106	143	5	and	and	CCONJ
cte-106	143	6	analysts	analyst	NOUN
cte-106	143	7	argue	argue	VERB
cte-106	143	8	that	that	SCONJ
cte-106	143	9	due	due	ADP
cte-106	143	10	to	to	ADP
cte-106	143	11	changes	change	NOUN
cte-106	143	12	in	in	ADP
cte-106	143	13	the	the	DET
cte-106	143	14	nature	nature	NOUN
cte-106	143	15	of	of	ADP
cte-106	143	16	activities	activity	NOUN
cte-106	143	17	,	,	PUNCT
cte-106	143	18	traditional	traditional	ADJ
cte-106	143	19	approaches	approach	NOUN
cte-106	143	20	to	to	ADP
cte-106	143	21	professional	professional	ADJ
cte-106	143	22	skills	skill	NOUN
cte-106	143	23	training	training	NOUN
cte-106	143	24	may	may	AUX
cte-106	143	25	be	be	AUX
cte-106	143	26	ineffective	ineffective	ADJ
cte-106	143	27	in	in	ADP
cte-106	143	28	the	the	DET
cte-106	143	29	future	future	NOUN
cte-106	143	30	.	.	PUNCT
cte-106	144	1	given	give	VERB
cte-106	144	2	the	the	DET
cte-106	144	3	growing	grow	VERB
cte-106	144	4	pace	pace	NOUN
cte-106	144	5	of	of	ADP
cte-106	144	6	change	change	NOUN
cte-106	144	7	and	and	CCONJ
cte-106	144	8	uncertainty	uncertainty	NOUN
cte-106	144	9	in	in	ADP
cte-106	144	10	the	the	DET
cte-106	144	11	workplace	workplace	NOUN
cte-106	144	12	,	,	PUNCT
cte-106	144	13	young	young	ADJ
cte-106	144	14	people	people	NOUN
cte-106	144	15	will	will	AUX
cte-106	144	16	be	be	AUX
cte-106	144	17	better	well	ADV
cte-106	144	18	prepared	prepare	VERB
cte-106	144	19	,	,	PUNCT
cte-106	144	20	even	even	ADV
cte-106	144	21	for	for	ADP
cte-106	144	22	entry	entry	NOUN
cte-106	144	23	-	-	PUNCT
cte-106	144	24	level	level	NOUN
cte-106	144	25	positions	position	NOUN
cte-106	144	26	and	and	CCONJ
cte-106	144	27	,	,	PUNCT
cte-106	144	28	of	of	ADP
cte-106	144	29	course	course	NOUN
cte-106	144	30	,	,	PUNCT
cte-106	144	31	for	for	ADP
cte-106	144	32	career	career	NOUN
cte-106	144	33	advancement	advancement	NOUN
cte-106	144	34	,	,	PUNCT
cte-106	144	35	if	if	SCONJ
cte-106	144	36	they	they	PRON
cte-106	144	37	have	have	VERB
cte-106	144	38	a	a	DET
cte-106	144	39	basic	basic	ADJ
cte-106	144	40	understanding	understanding	NOUN
cte-106	144	41	of	of	ADP
cte-106	144	42	the	the	DET
cte-106	144	43	scientific	scientific	ADJ
cte-106	144	44	,	,	PUNCT
cte-106	144	45	mathematical	mathematical	ADJ
cte-106	144	46	,	,	PUNCT
cte-106	144	47	social	social	ADJ
cte-106	144	48	and	and	CCONJ
cte-106	144	49	even	even	ADV
cte-106	144	50	cultural	cultural	ADJ
cte-106	144	51	aspects	aspect	NOUN
cte-106	144	52	of	of	ADP
cte-106	144	53	working	work	VERB
cte-106	144	54	within	within	ADP
cte-106	144	55	their	their	PRON
cte-106	144	56	jobs	job	NOUN
cte-106	144	57	.	.	PUNCT
cte-106	145	1	professional	professional	ADJ
cte-106	145	2	competencies	competency	NOUN
cte-106	145	3	.	.	PUNCT
cte-106	146	1	this	this	PRON
cte-106	146	2	leads	lead	VERB
cte-106	146	3	to	to	ADP
cte-106	146	4	a	a	DET
cte-106	146	5	change	change	NOUN
cte-106	146	6	in	in	ADP
cte-106	146	7	approaches	approach	NOUN
cte-106	146	8	to	to	ADP
cte-106	146	9	the	the	DET
cte-106	146	10	teaching	teaching	NOUN
cte-106	146	11	and	and	CCONJ
cte-106	146	12	103	103	NUM
cte-106	146	13	cte	cte	NOUN
cte-106	146	14	workshop	workshop	NOUN
cte-106	146	15	proceedings	proceeding	NOUN
cte-106	146	16	,	,	PUNCT
cte-106	146	17	2022	2022	NUM
cte-106	146	18	,	,	PUNCT
cte-106	146	19	vol	vol	NOUN
cte-106	146	20	.	.	NOUN
cte-106	147	1	9	9	NUM
cte-106	147	2	:	:	PUNCT
cte-106	147	3	cte-2021	cte-2021	NOUN
cte-106	147	4	,	,	PUNCT
cte-106	147	5	pp	pp	ADJ
cte-106	147	6	.	.	PUNCT
cte-106	148	1	95	95	NUM
cte-106	148	2	-	-	SYM
cte-106	148	3	106	106	NUM
cte-106	148	4	figure	figure	NOUN
cte-106	148	5	9	9	NUM
cte-106	148	6	:	:	PUNCT
cte-106	148	7	main	main	ADJ
cte-106	148	8	m	m	NOUN
cte-106	148	9	-	-	PUNCT
cte-106	148	10	file	file	NOUN
cte-106	148	11	of	of	ADP
cte-106	148	12	computer	computer	NOUN
cte-106	148	13	modelling	modelling	NOUN
cte-106	148	14	.	.	PUNCT
cte-106	149	1	figure	figure	NOUN
cte-106	149	2	10	10	NUM
cte-106	149	3	:	:	PUNCT
cte-106	149	4	results	result	NOUN
cte-106	149	5	of	of	ADP
cte-106	149	6	modelling	modelling	NOUN
cte-106	149	7	.	.	PUNCT
cte-106	150	1	learning	learn	VERB
cte-106	150	2	of	of	ADP
cte-106	150	3	mathematical	mathematical	ADJ
cte-106	150	4	disciplines	discipline	NOUN
cte-106	150	5	,	,	PUNCT
cte-106	150	6	increasing	increase	VERB
cte-106	150	7	the	the	DET
cte-106	150	8	emphasis	emphasis	NOUN
cte-106	150	9	on	on	ADP
cte-106	150	10	the	the	DET
cte-106	150	11	integration	integration	NOUN
cte-106	150	12	of	of	ADP
cte-106	150	13	academic	academic	ADJ
cte-106	150	14	and	and	CCONJ
cte-106	150	15	professional	professional	ADJ
cte-106	150	16	education	education	NOUN
cte-106	150	17	.	.	PUNCT
cte-106	151	1	mathematical	mathematical	ADJ
cte-106	151	2	competence	competence	NOUN
cte-106	151	3	is	be	AUX
cte-106	151	4	an	an	DET
cte-106	151	5	integrated	integrate	VERB
cte-106	151	6	dynamic	dynamic	ADJ
cte-106	151	7	property	property	NOUN
cte-106	151	8	of	of	ADP
cte-106	151	9	the	the	DET
cte-106	151	10	student	student	NOUN
cte-106	151	11	’s	’s	PART
cte-106	151	12	personality	personality	NOUN
cte-106	151	13	,	,	PUNCT
cte-106	151	14	which	which	PRON
cte-106	151	15	characterizes	characterize	VERB
cte-106	151	16	his	his	PRON
cte-106	151	17	ability	ability	NOUN
cte-106	151	18	and	and	CCONJ
cte-106	151	19	willingness	willingness	NOUN
cte-106	151	20	to	to	PART
cte-106	151	21	use	use	VERB
cte-106	151	22	mathematical	mathematical	ADJ
cte-106	151	23	methods	method	NOUN
cte-106	151	24	of	of	ADP
cte-106	151	25	modeling	modeling	NOUN
cte-106	151	26	in	in	ADP
cte-106	151	27	professional	professional	ADJ
cte-106	151	28	activities	activity	NOUN
cte-106	151	29	.	.	PUNCT
cte-106	152	1	mathematical	mathematical	ADJ
cte-106	152	2	competence	competence	NOUN
cte-106	152	3	integrates	integrate	VERB
cte-106	152	4	mathematical	mathematical	ADJ
cte-106	152	5	knowledge	knowledge	NOUN
cte-106	152	6	and	and	CCONJ
cte-106	152	7	skills	skill	NOUN
cte-106	152	8	,	,	PUNCT
cte-106	152	9	as	as	ADV
cte-106	152	10	well	well	ADV
cte-106	152	11	as	as	ADP
cte-106	152	12	general	general	ADJ
cte-106	152	13	cultural	cultural	ADJ
cte-106	152	14	and	and	CCONJ
cte-106	152	15	professional	professional	ADJ
cte-106	152	16	competencies	competency	NOUN
cte-106	152	17	that	that	PRON
cte-106	152	18	are	be	AUX
cte-106	152	19	projected	project	VERB
cte-106	152	20	into	into	ADP
cte-106	152	21	the	the	DET
cte-106	152	22	subject	subject	ADJ
cte-106	152	23	area	area	NOUN
cte-106	152	24	of	of	ADP
cte-106	152	25	mathematics	mathematic	NOUN
cte-106	152	26	–	–	PUNCT
cte-106	152	27	their	their	PRON
cte-106	152	28	core	core	NOUN
cte-106	152	29	is	be	AUX
cte-106	152	30	the	the	DET
cte-106	152	31	ability	ability	NOUN
cte-106	152	32	and	and	CCONJ
cte-106	152	33	willingness	willingness	NOUN
cte-106	152	34	of	of	ADP
cte-106	152	35	the	the	DET
cte-106	152	36	graduate	graduate	NOUN
cte-106	152	37	to	to	PART
cte-106	152	38	apply	apply	VERB
cte-106	152	39	this	this	DET
cte-106	152	40	knowledge	knowledge	NOUN
cte-106	152	41	in	in	ADP
cte-106	152	42	professional	professional	ADJ
cte-106	152	43	activities	activity	NOUN
cte-106	152	44	.	.	PUNCT
cte-106	153	1	104	104	NUM
cte-106	153	2	cte	cte	NOUN
cte-106	153	3	workshop	workshop	NOUN
cte-106	153	4	proceedings	proceeding	NOUN
cte-106	153	5	,	,	PUNCT
cte-106	153	6	2022	2022	NUM
cte-106	153	7	,	,	PUNCT
cte-106	153	8	vol	vol	NOUN
cte-106	153	9	.	.	NOUN
cte-106	153	10	9	9	NUM
cte-106	153	11	:	:	PUNCT
cte-106	153	12	cte-2021	cte-2021	NOUN
cte-106	153	13	,	,	PUNCT
cte-106	153	14	pp	pp	ADJ
cte-106	153	15	.	.	PUNCT
cte-106	154	1	95	95	NUM
cte-106	154	2	-	-	SYM
cte-106	154	3	106	106	NUM
cte-106	154	4	to	to	PART
cte-106	154	5	solve	solve	VERB
cte-106	154	6	the	the	DET
cte-106	154	7	problems	problem	NOUN
cte-106	154	8	of	of	ADP
cte-106	154	9	mathematical	mathematical	ADJ
cte-106	154	10	modeling	modeling	NOUN
cte-106	154	11	,	,	PUNCT
cte-106	154	12	students	student	NOUN
cte-106	154	13	must	must	AUX
cte-106	154	14	translate	translate	VERB
cte-106	154	15	real	real	ADJ
cte-106	154	16	situations	situation	NOUN
cte-106	154	17	,	,	PUNCT
cte-106	154	18	which	which	PRON
cte-106	154	19	are	be	AUX
cte-106	154	20	usually	usually	ADV
cte-106	154	21	presented	present	VERB
cte-106	154	22	in	in	ADP
cte-106	154	23	text	text	NOUN
cte-106	154	24	form	form	NOUN
cte-106	154	25	,	,	PUNCT
cte-106	154	26	into	into	ADP
cte-106	154	27	mathematical	mathematical	ADJ
cte-106	154	28	models	model	NOUN
cte-106	154	29	.	.	PUNCT
cte-106	155	1	to	to	PART
cte-106	155	2	complete	complete	VERB
cte-106	155	3	the	the	DET
cte-106	155	4	translation	translation	NOUN
cte-106	155	5	process	process	NOUN
cte-106	155	6	,	,	PUNCT
cte-106	155	7	the	the	DET
cte-106	155	8	problem	problem	NOUN
cte-106	155	9	solver	solver	ADV
cte-106	155	10	must	must	AUX
cte-106	155	11	first	first	ADV
cte-106	155	12	understand	understand	VERB
cte-106	155	13	the	the	DET
cte-106	155	14	real	real	ADJ
cte-106	155	15	situation	situation	NOUN
cte-106	155	16	.	.	PUNCT
cte-106	156	1	thus	thus	ADV
cte-106	156	2	,	,	PUNCT
cte-106	156	3	reading	read	VERB
cte-106	156	4	comprehension	comprehension	NOUN
cte-106	156	5	can	can	AUX
cte-106	156	6	be	be	AUX
cte-106	156	7	considered	consider	VERB
cte-106	156	8	as	as	ADP
cte-106	156	9	an	an	DET
cte-106	156	10	important	important	ADJ
cte-106	156	11	part	part	NOUN
cte-106	156	12	of	of	ADP
cte-106	156	13	solving	solve	VERB
cte-106	156	14	modeling	modeling	NOUN
cte-106	156	15	problems	problem	NOUN
cte-106	156	16	,	,	PUNCT
cte-106	156	17	and	and	CCONJ
cte-106	156	18	the	the	DET
cte-106	156	19	development	development	NOUN
cte-106	156	20	of	of	ADP
cte-106	156	21	reading	reading	NOUN
cte-106	156	22	comprehension	comprehension	NOUN
cte-106	156	23	can	can	AUX
cte-106	156	24	lead	lead	VERB
cte-106	156	25	to	to	ADP
cte-106	156	26	increased	increase	VERB
cte-106	156	27	competence	competence	NOUN
cte-106	156	28	in	in	ADP
cte-106	156	29	modeling	modeling	NOUN
cte-106	156	30	.	.	PUNCT
cte-106	157	1	in	in	ADP
cte-106	157	2	addition	addition	NOUN
cte-106	157	3	,	,	PUNCT
cte-106	157	4	it	it	PRON
cte-106	157	5	was	be	AUX
cte-106	157	6	found	find	VERB
cte-106	157	7	that	that	SCONJ
cte-106	157	8	ease	ease	NOUN
cte-106	157	9	of	of	ADP
cte-106	157	10	understanding	understanding	NOUN
cte-106	157	11	and	and	CCONJ
cte-106	157	12	engagement	engagement	NOUN
cte-106	157	13	increases	increase	VERB
cte-106	157	14	interest	interest	NOUN
cte-106	157	15	in	in	ADP
cte-106	157	16	learning	learn	VERB
cte-106	157	17	material	material	NOUN
cte-106	157	18	,	,	PUNCT
cte-106	157	19	and	and	CCONJ
cte-106	157	20	thus	thus	ADV
cte-106	157	21	improving	improve	VERB
cte-106	157	22	reading	reading	NOUN
cte-106	157	23	comprehension	comprehension	NOUN
cte-106	157	24	can	can	AUX
cte-106	157	25	also	also	ADV
cte-106	157	26	increase	increase	VERB
cte-106	157	27	interest	interest	NOUN
cte-106	157	28	in	in	ADP
cte-106	157	29	modeling	modeling	NOUN
cte-106	157	30	.	.	PUNCT
cte-106	158	1	motivation	motivation	NOUN
cte-106	158	2	of	of	ADP
cte-106	158	3	students	student	NOUN
cte-106	158	4	plays	play	VERB
cte-106	158	5	a	a	DET
cte-106	158	6	decisive	decisive	ADJ
cte-106	158	7	role	role	NOUN
cte-106	158	8	in	in	ADP
cte-106	158	9	the	the	DET
cte-106	158	10	process	process	NOUN
cte-106	158	11	of	of	ADP
cte-106	158	12	teaching	teaching	NOUN
cte-106	158	13	mathematics	mathematic	NOUN
cte-106	158	14	.	.	PUNCT
cte-106	159	1	one	one	NUM
cte-106	159	2	of	of	ADP
cte-106	159	3	the	the	DET
cte-106	159	4	important	important	ADJ
cte-106	159	5	motivational	motivational	ADJ
cte-106	159	6	variables	variable	NOUN
cte-106	159	7	is	be	AUX
cte-106	159	8	the	the	DET
cte-106	159	9	interest	interest	NOUN
cte-106	159	10	of	of	ADP
cte-106	159	11	students	student	NOUN
cte-106	159	12	both	both	CCONJ
cte-106	159	13	in	in	ADP
cte-106	159	14	the	the	DET
cte-106	159	15	educational	educational	ADJ
cte-106	159	16	material	material	NOUN
cte-106	159	17	and	and	CCONJ
cte-106	159	18	in	in	ADP
cte-106	159	19	the	the	DET
cte-106	159	20	use	use	NOUN
cte-106	159	21	of	of	ADP
cte-106	159	22	the	the	DET
cte-106	159	23	acquired	acquire	VERB
cte-106	159	24	competencies	competency	NOUN
cte-106	159	25	in	in	ADP
cte-106	159	26	professional	professional	ADJ
cte-106	159	27	activities	activity	NOUN
cte-106	159	28	,	,	PUNCT
cte-106	159	29	and	and	CCONJ
cte-106	159	30	computer	computer	NOUN
cte-106	159	31	modeling	modeling	NOUN
cte-106	159	32	has	have	VERB
cte-106	159	33	a	a	DET
cte-106	159	34	very	very	ADV
cte-106	159	35	important	important	ADJ
cte-106	159	36	role	role	NOUN
cte-106	159	37	.	.	PUNCT
cte-106	160	1	standards	standard	NOUN
cte-106	160	2	and	and	CCONJ
cte-106	160	3	expectations	expectation	NOUN
cte-106	160	4	from	from	ADP
cte-106	160	5	students	student	NOUN
cte-106	160	6	should	should	AUX
cte-106	160	7	be	be	AUX
cte-106	160	8	high	high	ADJ
cte-106	160	9	,	,	PUNCT
cte-106	160	10	but	but	CCONJ
cte-106	160	11	this	this	PRON
cte-106	160	12	is	be	AUX
cte-106	160	13	only	only	ADV
cte-106	160	14	part	part	NOUN
cte-106	160	15	of	of	ADP
cte-106	160	16	the	the	DET
cte-106	160	17	solution	solution	NOUN
cte-106	160	18	.	.	PUNCT
cte-106	161	1	the	the	DET
cte-106	161	2	more	more	ADV
cte-106	161	3	important	important	ADJ
cte-106	161	4	part	part	NOUN
cte-106	161	5	is	be	AUX
cte-106	161	6	developing	develop	VERB
cte-106	161	7	teaching	teaching	NOUN
cte-106	161	8	techniques	technique	NOUN
cte-106	161	9	and	and	CCONJ
cte-106	161	10	methods	method	NOUN
cte-106	161	11	that	that	PRON
cte-106	161	12	will	will	AUX
cte-106	161	13	help	help	VERB
cte-106	161	14	all	all	DET
cte-106	161	15	students	student	NOUN
cte-106	161	16	(	(	PUNCT
cte-106	161	17	not	not	PART
cte-106	161	18	just	just	ADV
cte-106	161	19	a	a	DET
cte-106	161	20	small	small	ADJ
cte-106	161	21	fraction	fraction	NOUN
cte-106	161	22	)	)	PUNCT
cte-106	161	23	to	to	PART
cte-106	161	24	achieve	achieve	VERB
cte-106	161	25	these	these	DET
cte-106	161	26	high	high	ADJ
cte-106	161	27	expectations	expectation	NOUN
cte-106	161	28	and	and	CCONJ
cte-106	161	29	standards	standard	NOUN
cte-106	161	30	.	.	PUNCT
cte-106	162	1	this	this	PRON
cte-106	162	2	will	will	AUX
cte-106	162	3	require	require	VERB
cte-106	162	4	some	some	DET
cte-106	162	5	changes	change	NOUN
cte-106	162	6	in	in	ADP
cte-106	162	7	teaching	teaching	NOUN
cte-106	162	8	and	and	CCONJ
cte-106	162	9	learning	learn	VERB
cte-106	162	10	mathematics	mathematic	NOUN
cte-106	162	11	.	.	PUNCT
cte-106	163	1	effective	effective	ADJ
cte-106	163	2	education	education	NOUN
cte-106	163	3	must	must	AUX
cte-106	163	4	pay	pay	VERB
cte-106	163	5	clear	clear	ADJ
cte-106	163	6	attention	attention	NOUN
cte-106	163	7	to	to	ADP
cte-106	163	8	the	the	DET
cte-106	163	9	connection	connection	NOUN
cte-106	163	10	of	of	ADP
cte-106	163	11	the	the	DET
cte-106	163	12	real	real	ADJ
cte-106	163	13	-	-	PUNCT
cte-106	163	14	life	life	NOUN
cte-106	163	15	context	context	NOUN
cte-106	163	16	with	with	ADP
cte-106	163	17	the	the	DET
cte-106	163	18	subject	subject	ADJ
cte-106	163	19	content	content	NOUN
cte-106	163	20	for	for	ADP
cte-106	163	21	the	the	DET
cte-106	163	22	student	student	NOUN
cte-106	163	23	,	,	PUNCT
cte-106	163	24	and	and	CCONJ
cte-106	163	25	this	this	PRON
cte-106	163	26	requires	require	VERB
cte-106	163	27	more	more	ADJ
cte-106	163	28	“	"	PUNCT
cte-106	163	29	interconnected	interconnected	ADJ
cte-106	163	30	”	"	PUNCT
cte-106	163	31	approaches	approach	NOUN
cte-106	163	32	to	to	ADP
cte-106	163	33	teaching	teach	VERB
cte-106	163	34	mathematics	mathematic	NOUN
cte-106	163	35	disciplines	discipline	NOUN
cte-106	163	36	.	.	PUNCT
cte-106	164	1	teaching	teach	VERB
cte-106	164	2	query	query	NOUN
cte-106	164	3	-	-	PUNCT
cte-106	164	4	based	base	VERB
cte-106	164	5	modeling	modeling	NOUN
cte-106	164	6	improves	improve	VERB
cte-106	164	7	students	student	NOUN
cte-106	164	8	’	'	PUNCT
cte-106	164	9	research	research	NOUN
cte-106	164	10	skills	skill	NOUN
cte-106	164	11	and	and	CCONJ
cte-106	164	12	helps	help	VERB
cte-106	164	13	build	build	VERB
cte-106	164	14	math	math	NOUN
cte-106	164	15	competence	competence	NOUN
cte-106	164	16	.	.	PUNCT
cte-106	165	1	the	the	DET
cte-106	165	2	model	model	NOUN
cte-106	165	3	query	query	NOUN
cte-106	165	4	activates	activate	VERB
cte-106	165	5	students	student	NOUN
cte-106	165	6	’	'	PUNCT
cte-106	165	7	conceptual	conceptual	ADJ
cte-106	165	8	knowledge	knowledge	NOUN
cte-106	165	9	if	if	SCONJ
cte-106	165	10	they	they	PRON
cte-106	165	11	have	have	VERB
cte-106	165	12	it	it	PRON
cte-106	165	13	and	and	CCONJ
cte-106	165	14	finds	find	VERB
cte-106	165	15	out	out	ADP
cte-106	165	16	gaps	gap	NOUN
cte-106	165	17	in	in	ADP
cte-106	165	18	knowledge	knowledge	NOUN
cte-106	165	19	that	that	PRON
cte-106	165	20	have	have	AUX
cte-106	165	21	been	be	AUX
cte-106	165	22	forgotten	forget	VERB
cte-106	165	23	or	or	CCONJ
cte-106	165	24	lost	lose	VERB
cte-106	165	25	.	.	PUNCT
cte-106	166	1	work	work	NOUN
cte-106	166	2	on	on	ADP
cte-106	166	3	the	the	DET
cte-106	166	4	platinum	platinum	NOUN
cte-106	166	5	project	project	NOUN
cte-106	166	6	has	have	AUX
cte-106	166	7	increased	increase	VERB
cte-106	166	8	the	the	DET
cte-106	166	9	interaction	interaction	NOUN
cte-106	166	10	of	of	ADP
cte-106	166	11	teachers	teacher	NOUN
cte-106	166	12	who	who	PRON
cte-106	166	13	teach	teach	VERB
cte-106	166	14	basic	basic	ADJ
cte-106	166	15	disciplines	discipline	NOUN
cte-106	166	16	of	of	ADP
cte-106	166	17	higher	high	ADJ
cte-106	166	18	mathematics	mathematic	NOUN
cte-106	166	19	and	and	CCONJ
cte-106	166	20	applied	apply	VERB
cte-106	166	21	disciplines	discipline	NOUN
cte-106	166	22	.	.	PUNCT
cte-106	167	1	acknowledgments	acknowledgment	NOUN
cte-106	167	2	the	the	DET
cte-106	167	3	research	research	NOUN
cte-106	167	4	,	,	PUNCT
cte-106	167	5	the	the	DET
cte-106	167	6	results	result	NOUN
cte-106	167	7	of	of	ADP
cte-106	167	8	which	which	PRON
cte-106	167	9	are	be	AUX
cte-106	167	10	presented	present	VERB
cte-106	167	11	in	in	ADP
cte-106	167	12	the	the	DET
cte-106	167	13	article	article	NOUN
cte-106	167	14	,	,	PUNCT
cte-106	167	15	was	be	AUX
cte-106	167	16	conducted	conduct	VERB
cte-106	167	17	within	within	ADP
cte-106	167	18	the	the	DET
cte-106	167	19	framework	framework	NOUN
cte-106	167	20	of	of	ADP
cte-106	167	21	the	the	DET
cte-106	167	22	project	project	NOUN
cte-106	167	23	“	"	PUNCT
cte-106	167	24	partnership	partnership	NOUN
cte-106	167	25	for	for	ADP
cte-106	167	26	learning	learn	VERB
cte-106	167	27	and	and	CCONJ
cte-106	167	28	teaching	teaching	NOUN
cte-106	167	29	in	in	ADP
cte-106	167	30	university	university	NOUN
cte-106	167	31	mathematics	mathematic	NOUN
cte-106	167	32	(	(	PUNCT
cte-106	167	33	platinum	platinum	NOUN
cte-106	167	34	)	)	PUNCT
cte-106	167	35	”	"	PUNCT
cte-106	167	36	,	,	PUNCT
cte-106	167	37	program	program	NOUN
cte-106	167	38	erasmus+	erasmus+	NOUN
cte-106	168	1	ka203	ka203	PROPN
cte-106	168	2	–	–	PUNCT
cte-106	168	3	strategic	strategic	ADJ
cte-106	168	4	partnerships	partnership	NOUN
cte-106	168	5	for	for	ADP
cte-106	168	6	higher	high	ADJ
cte-106	168	7	education	education	NOUN
cte-106	168	8	,	,	PUNCT
cte-106	168	9	20181	20181	NUM
cte-106	168	10	-	-	SYM
cte-106	168	11	no01	no01	PROPN
cte-106	168	12	-	-	PUNCT
cte-106	168	13	ka203	ka203	PROPN
cte-106	168	14	-	-	PUNCT
cte-106	168	15	038887	038887	NUM
cte-106	168	16	.	.	PUNCT
cte-106	169	1	this	this	DET
cte-106	169	2	article	article	NOUN
cte-106	169	3	reflects	reflect	VERB
cte-106	169	4	the	the	DET
cte-106	169	5	views	view	NOUN
cte-106	169	6	only	only	ADV
cte-106	169	7	of	of	ADP
cte-106	169	8	the	the	DET
cte-106	169	9	author	author	NOUN
cte-106	169	10	,	,	PUNCT
cte-106	169	11	and	and	CCONJ
cte-106	169	12	the	the	DET
cte-106	169	13	european	european	PROPN
cte-106	169	14	commission	commission	PROPN
cte-106	169	15	can	can	AUX
cte-106	169	16	not	not	PART
cte-106	169	17	be	be	AUX
cte-106	169	18	held	hold	VERB
cte-106	169	19	responsible	responsible	ADJ
cte-106	169	20	for	for	ADP
cte-106	169	21	any	any	DET
cte-106	169	22	use	use	NOUN
cte-106	169	23	which	which	PRON
cte-106	169	24	may	may	AUX
cte-106	169	25	be	be	AUX
cte-106	169	26	made	make	VERB
cte-106	169	27	of	of	ADP
cte-106	169	28	the	the	DET
cte-106	169	29	information	information	NOUN
cte-106	169	30	contained	contain	VERB
cte-106	169	31	therein	therein	ADV
cte-106	169	32	.	.	PUNCT
cte-106	170	1	references	reference	NOUN
cte-106	170	2	[	[	X
cte-106	170	3	1	1	NUM
cte-106	170	4	]	]	PUNCT
cte-106	170	5	astafieva	astafieva	PROPN
cte-106	170	6	,	,	PUNCT
cte-106	170	7	m.m	m.m	PROPN
cte-106	170	8	.	.	PROPN
cte-106	170	9	,	,	PUNCT
cte-106	170	10	zhyltsov	zhyltsov	PROPN
cte-106	170	11	,	,	PUNCT
cte-106	170	12	o.b	o.b	PROPN
cte-106	170	13	.	.	PROPN
cte-106	170	14	,	,	PUNCT
cte-106	170	15	proshkin	proshkin	NOUN
cte-106	170	16	,	,	PUNCT
cte-106	170	17	v.v	v.v	PROPN
cte-106	170	18	.	.	PROPN
cte-106	170	19	and	and	CCONJ
cte-106	170	20	lytvyn	lytvyn	PROPN
cte-106	170	21	,	,	PUNCT
cte-106	170	22	o.s	o.s	PROPN
cte-106	170	23	.	.	PROPN
cte-106	170	24	,	,	PUNCT
cte-106	170	25	2020	2020	NUM
cte-106	170	26	.	.	PUNCT
cte-106	171	1	e	e	X
cte-106	171	2	-	-	PUNCT
cte-106	171	3	learning	learn	VERB
cte-106	171	4	as	as	ADP
cte-106	171	5	a	a	DET
cte-106	171	6	mean	mean	NOUN
cte-106	171	7	of	of	ADP
cte-106	171	8	forming	form	VERB
cte-106	171	9	students	student	NOUN
cte-106	171	10	’	'	PUNCT
cte-106	171	11	mathematical	mathematical	ADJ
cte-106	171	12	competence	competence	NOUN
cte-106	171	13	in	in	ADP
cte-106	171	14	a	a	DET
cte-106	171	15	research	research	NOUN
cte-106	171	16	-	-	PUNCT
cte-106	171	17	oriented	orient	VERB
cte-106	171	18	educational	educational	ADJ
cte-106	171	19	process	process	NOUN
cte-106	171	20	.	.	PUNCT
cte-106	172	1	ceur	ceur	PROPN
cte-106	172	2	workshop	workshop	NOUN
cte-106	172	3	proceedings	proceeding	NOUN
cte-106	172	4	,	,	PUNCT
cte-106	172	5	2643	2643	NUM
cte-106	172	6	,	,	PUNCT
cte-106	172	7	pp.674–689	pp.674–689	NOUN
cte-106	172	8	.	.	PUNCT
cte-106	173	1	[	[	X
cte-106	173	2	2	2	NUM
cte-106	173	3	]	]	X
cte-106	173	4	fayzullaev	fayzullaev	PROPN
cte-106	173	5	,	,	PUNCT
cte-106	173	6	j.	j.	PROPN
cte-106	173	7	,	,	PUNCT
cte-106	173	8	2020	2020	NUM
cte-106	173	9	.	.	PUNCT
cte-106	174	1	a	a	DET
cte-106	174	2	systematic	systematic	ADJ
cte-106	174	3	approach	approach	NOUN
cte-106	174	4	to	to	ADP
cte-106	174	5	the	the	DET
cte-106	174	6	development	development	NOUN
cte-106	174	7	of	of	ADP
cte-106	174	8	mathematical	mathematical	ADJ
cte-106	174	9	competence	competence	NOUN
cte-106	174	10	among	among	ADP
cte-106	174	11	students	student	NOUN
cte-106	174	12	of	of	ADP
cte-106	174	13	technical	technical	ADJ
cte-106	174	14	universities	university	NOUN
cte-106	174	15	.	.	PUNCT
cte-106	175	1	european	european	PROPN
cte-106	175	2	journal	journal	PROPN
cte-106	175	3	of	of	ADP
cte-106	175	4	research	research	NOUN
cte-106	175	5	and	and	CCONJ
cte-106	175	6	reflection	reflection	NOUN
cte-106	175	7	in	in	ADP
cte-106	175	8	educational	educational	ADJ
cte-106	175	9	sciences	science	NOUN
cte-106	175	10	,	,	PUNCT
cte-106	175	11	8(3	8(3	NUM
cte-106	175	12	)	)	PUNCT
cte-106	175	13	,	,	PUNCT
cte-106	175	14	pp.42–47	pp.42–47	NOUN
cte-106	175	15	.	.	PUNCT
cte-106	176	1	available	available	ADJ
cte-106	176	2	from	from	ADP
cte-106	176	3	:	:	PUNCT
cte-106	176	4	http://www.idpublications.org/wp-content/uploads/2020/03/	http://www.idpublications.org/wp-content/uploads/2020/03/	NOUN
cte-106	176	5	105	105	NUM
cte-106	176	6	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	PROPN
cte-106	176	7	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	PROPN
cte-106	176	8	cte	cte	PROPN
cte-106	176	9	workshop	workshop	NOUN
cte-106	176	10	proceedings	proceeding	NOUN
cte-106	176	11	,	,	PUNCT
cte-106	176	12	2022	2022	NUM
cte-106	176	13	,	,	PUNCT
cte-106	176	14	vol	vol	NOUN
cte-106	176	15	.	.	NOUN
cte-106	177	1	9	9	NUM
cte-106	177	2	:	:	PUNCT
cte-106	177	3	cte-2021	cte-2021	NOUN
cte-106	177	4	,	,	PUNCT
cte-106	177	5	pp	pp	ADJ
cte-106	177	6	.	.	PUNCT
cte-106	178	1	95	95	NUM
cte-106	178	2	-	-	SYM
cte-106	178	3	106	106	NUM
cte-106	178	4	full	full	ADJ
cte-106	178	5	-	-	PUNCT
cte-106	178	6	paper	paper	NOUN
cte-106	178	7	-	-	PUNCT
cte-106	178	8	a	a	DET
cte-106	178	9	-	-	PUNCT
cte-106	178	10	systematic	systematic	ADJ
cte-106	178	11	-	-	PUNCT
cte-106	178	12	approach	approach	NOUN
cte-106	178	13	-	-	PUNCT
cte-106	178	14	to	to	ADP
cte-106	178	15	-	-	PUNCT
cte-106	178	16	the	the	DET
cte-106	178	17	-	-	PUNCT
cte-106	178	18	development	development	NOUN
cte-106	178	19	-	-	PUNCT
cte-106	178	20	of	of	ADP
cte-106	178	21	-	-	PUNCT
cte-106	178	22	mathematical	mathematical	ADJ
cte-106	178	23	-	-	PUNCT
cte-106	178	24	competence	competence	NOUN
cte-106	178	25	-	-	PUNCT
cte-106	178	26	among	among	ADP
cte-106	178	27	-	-	PUNCT
cte-106	178	28	students	student	NOUN
cte-106	178	29	-	-	PUNCT
cte-106	178	30	of	of	ADP
cte-106	178	31	.	.	PUNCT
cte-106	178	32	pdf	pdf	NOUN
cte-106	178	33	.	.	PUNCT
cte-106	179	1	[	[	X
cte-106	179	2	3	3	NUM
cte-106	179	3	]	]	X
cte-106	179	4	flehantov	flehantov	PROPN
cte-106	179	5	,	,	PUNCT
cte-106	179	6	l.	l.	PROPN
cte-106	179	7	and	and	CCONJ
cte-106	179	8	ovsiienko	ovsiienko	NOUN
cte-106	179	9	,	,	PUNCT
cte-106	179	10	y.	y.	NOUN
cte-106	179	11	,	,	PUNCT
cte-106	179	12	2019	2019	NUM
cte-106	179	13	.	.	PUNCT
cte-106	180	1	the	the	DET
cte-106	180	2	simultaneous	simultaneous	ADJ
cte-106	180	3	use	use	NOUN
cte-106	180	4	of	of	ADP
cte-106	180	5	excel	excel	NOUN
cte-106	180	6	and	and	CCONJ
cte-106	180	7	geogebra	geogebra	NOUN
cte-106	180	8	to	to	ADP
cte-106	180	9	training	train	VERB
cte-106	180	10	the	the	DET
cte-106	180	11	basics	basic	NOUN
cte-106	180	12	of	of	ADP
cte-106	180	13	mathematical	mathematical	ADJ
cte-106	180	14	modeling	modeling	NOUN
cte-106	180	15	.	.	PUNCT
cte-106	181	1	ceur	ceur	PROPN
cte-106	181	2	workshop	workshop	NOUN
cte-106	181	3	proceedings	proceeding	NOUN
cte-106	181	4	,	,	PUNCT
cte-106	181	5	2393	2393	NUM
cte-106	181	6	,	,	PUNCT
cte-106	181	7	pp.864–879	pp.864–879	ADJ
cte-106	181	8	.	.	PUNCT
cte-106	182	1	[	[	X
cte-106	182	2	4	4	NUM
cte-106	182	3	]	]	X
cte-106	182	4	kaiser	kaiser	PROPN
cte-106	182	5	,	,	PUNCT
cte-106	182	6	g.	g.	PROPN
cte-106	182	7	,	,	PUNCT
cte-106	182	8	2017	2017	NUM
cte-106	182	9	.	.	PUNCT
cte-106	183	1	the	the	DET
cte-106	183	2	teaching	teaching	NOUN
cte-106	183	3	and	and	CCONJ
cte-106	183	4	learning	learning	NOUN
cte-106	183	5	of	of	ADP
cte-106	183	6	mathematical	mathematical	ADJ
cte-106	183	7	modeling	modeling	NOUN
cte-106	183	8	.	.	PUNCT
cte-106	184	1	in	in	ADP
cte-106	184	2	:	:	PUNCT
cte-106	184	3	j.	j.	PROPN
cte-106	184	4	cai	cai	PROPN
cte-106	184	5	,	,	PUNCT
cte-106	184	6	ed	ed	NOUN
cte-106	184	7	.	.	PUNCT
cte-106	184	8	compendium	compendium	NOUN
cte-106	184	9	for	for	ADP
cte-106	184	10	research	research	NOUN
cte-106	184	11	in	in	ADP
cte-106	184	12	mathematics	mathematic	NOUN
cte-106	184	13	education	education	NOUN
cte-106	184	14	.	.	PUNCT
cte-106	185	1	the	the	DET
cte-106	185	2	national	national	PROPN
cte-106	185	3	council	council	PROPN
cte-106	185	4	of	of	ADP
cte-106	185	5	teachers	teacher	NOUN
cte-106	185	6	of	of	ADP
cte-106	185	7	mathematics	mathematics	PROPN
cte-106	185	8	,	,	PUNCT
cte-106	185	9	inc	inc	PROPN
cte-106	185	10	.	.	PROPN
cte-106	185	11	,	,	PUNCT
cte-106	185	12	pp.267–291	pp.267–291	PROPN
cte-106	185	13	.	.	PUNCT
cte-106	186	1	[	[	X
cte-106	186	2	5	5	NUM
cte-106	186	3	]	]	X
cte-106	186	4	khomiuk	khomiuk	NOUN
cte-106	186	5	,	,	PUNCT
cte-106	186	6	v.v	v.v	PROPN
cte-106	186	7	.	.	PROPN
cte-106	186	8	,	,	PUNCT
cte-106	186	9	2015	2015	NUM
cte-106	186	10	.	.	PUNCT
cte-106	187	1	strukturna	strukturna	NOUN
cte-106	187	2	model	model	PROPN
cte-106	187	3	formuvannia	formuvannia	PROPN
cte-106	187	4	matematychnoi	matematychnoi	PROPN
cte-106	187	5	kompetentnosti	kompetentnosti	PROPN
cte-106	187	6	maibutnikh	maibutnikh	PROPN
cte-106	187	7	inzheneriv	inzheneriv	PROPN
cte-106	188	1	[	[	X
cte-106	188	2	structural	structural	ADJ
cte-106	188	3	model	model	NOUN
cte-106	188	4	of	of	ADP
cte-106	188	5	formation	formation	NOUN
cte-106	188	6	of	of	ADP
cte-106	188	7	mathematical	mathematical	ADJ
cte-106	188	8	competence	competence	NOUN
cte-106	188	9	of	of	ADP
cte-106	188	10	future	future	ADJ
cte-106	188	11	engineers	engineer	NOUN
cte-106	188	12	]	]	PUNCT
cte-106	188	13	.	.	PUNCT
cte-106	189	1	(	(	PUNCT
cte-106	189	2	5	5	NUM
cte-106	189	3	)	)	PUNCT
cte-106	189	4	,	,	PUNCT
cte-106	189	5	pp.160–168	pp.160–168	PROPN
cte-106	189	6	.	.	PUNCT
cte-106	189	7	available	available	ADJ
cte-106	189	8	from	from	ADP
cte-106	189	9	:	:	PUNCT
cte-106	189	10	http://nbuv.gov.ua/ujrn/nvkogpth	http://nbuv.gov.ua/ujrn/nvkogpth	X
cte-106	189	11	_	_	NOUN
cte-106	189	12	2015_5_26	2015_5_26	NUM
cte-106	189	13	.	.	PUNCT
cte-106	190	1	[	[	X
cte-106	190	2	6	6	NUM
cte-106	190	3	]	]	PUNCT
cte-106	190	4	levanon	levanon	NOUN
cte-106	190	5	,	,	PUNCT
cte-106	190	6	g.	g.	PROPN
cte-106	190	7	,	,	PUNCT
cte-106	190	8	2016	2016	NUM
cte-106	190	9	.	.	PUNCT
cte-106	190	10	wanted	want	VERB
cte-106	190	11	:	:	PUNCT
cte-106	190	12	math	math	NOUN
cte-106	190	13	majors	major	NOUN
cte-106	190	14	–	–	PUNCT
cte-106	190	15	mathematical	mathematical	ADJ
cte-106	190	16	jobs	job	NOUN
cte-106	190	17	facing	face	VERB
cte-106	190	18	tough	tough	ADJ
cte-106	190	19	labor	labor	NOUN
cte-106	190	20	shortages	shortage	NOUN
cte-106	190	21	.	.	PUNCT
cte-106	191	1	available	available	ADJ
cte-106	191	2	from	from	ADP
cte-106	191	3	:	:	PUNCT
cte-106	191	4	https://www.conference-board.org/blog/postdetail.cfm?post=5200	https://www.conference-board.org/blog/postdetail.cfm?post=5200	X
cte-106	191	5	.	.	PUNCT
cte-106	192	1	[	[	X
cte-106	192	2	7	7	NUM
cte-106	192	3	]	]	SYM
cte-106	192	4	lvov	lvov	NOUN
cte-106	192	5	,	,	PUNCT
cte-106	192	6	m.	m.	NOUN
cte-106	192	7	,	,	PUNCT
cte-106	192	8	shishko	shishko	PROPN
cte-106	192	9	,	,	PUNCT
cte-106	192	10	l.	l.	PROPN
cte-106	192	11	,	,	PUNCT
cte-106	192	12	chernenko	chernenko	PROPN
cte-106	192	13	,	,	PUNCT
cte-106	192	14	i.	i.	NOUN
cte-106	192	15	and	and	CCONJ
cte-106	192	16	kozlovsky	kozlovsky	PROPN
cte-106	192	17	,	,	PUNCT
cte-106	192	18	e.	e.	PROPN
cte-106	192	19	,	,	PUNCT
cte-106	192	20	2019	2019	NUM
cte-106	192	21	.	.	PUNCT
cte-106	193	1	mathematical	mathematical	ADJ
cte-106	193	2	models	model	NOUN
cte-106	193	3	and	and	CCONJ
cte-106	193	4	methods	method	NOUN
cte-106	193	5	of	of	ADP
cte-106	193	6	supporting	support	VERB
cte-106	193	7	the	the	DET
cte-106	193	8	solution	solution	NOUN
cte-106	193	9	of	of	ADP
cte-106	193	10	the	the	DET
cte-106	193	11	geometry	geometry	NOUN
cte-106	193	12	tasks	task	NOUN
cte-106	193	13	in	in	ADP
cte-106	193	14	systems	system	NOUN
cte-106	193	15	of	of	ADP
cte-106	193	16	computer	computer	NOUN
cte-106	193	17	mathematics	mathematic	NOUN
cte-106	193	18	for	for	ADP
cte-106	193	19	educational	educational	ADJ
cte-106	193	20	purposes	purpose	NOUN
cte-106	193	21	.	.	PUNCT
cte-106	194	1	ceur	ceur	PROPN
cte-106	194	2	workshop	workshop	NOUN
cte-106	194	3	proceedings	proceeding	NOUN
cte-106	194	4	,	,	PUNCT
cte-106	194	5	2393	2393	NUM
cte-106	194	6	,	,	PUNCT
cte-106	194	7	pp.41–52	pp.41–52	NOUN
cte-106	194	8	.	.	PUNCT
cte-106	195	1	[	[	X
cte-106	195	2	8	8	NUM
cte-106	195	3	]	]	X
cte-106	195	4	onoprienko	onoprienko	PROPN
cte-106	195	5	,	,	PUNCT
cte-106	195	6	o.v	o.v	PROPN
cte-106	195	7	.	.	PROPN
cte-106	195	8	,	,	PUNCT
cte-106	195	9	2013	2013	NUM
cte-106	195	10	.	.	PUNCT
cte-106	196	1	competence	competence	NOUN
cte-106	196	2	-	-	PUNCT
cte-106	196	3	oriented	orient	VERB
cte-106	196	4	tasks	task	NOUN
cte-106	196	5	as	as	ADP
cte-106	196	6	a	a	DET
cte-106	196	7	means	means	NOUN
cte-106	196	8	of	of	ADP
cte-106	196	9	forming	form	VERB
cte-106	196	10	mathematical	mathematical	ADJ
cte-106	196	11	competence	competence	NOUN
cte-106	196	12	of	of	ADP
cte-106	196	13	students	student	NOUN
cte-106	196	14	.	.	PUNCT
cte-106	197	1	primary	primary	ADJ
cte-106	197	2	school	school	NOUN
cte-106	197	3	,	,	PUNCT
cte-106	197	4	3(525	3(525	NUM
cte-106	197	5	)	)	PUNCT
cte-106	197	6	,	,	PUNCT
cte-106	197	7	pp.23–26	pp.23–26	ADJ
cte-106	197	8	.	.	PUNCT
cte-106	198	1	[	[	X
cte-106	198	2	9	9	NUM
cte-106	198	3	]	]	SYM
cte-106	198	4	riyanto	riyanto	NOUN
cte-106	198	5	,	,	PUNCT
cte-106	198	6	b.	b.	PROPN
cte-106	198	7	,	,	PUNCT
cte-106	198	8	zulkardi	zulkardi	PROPN
cte-106	198	9	,	,	PUNCT
cte-106	198	10	putri	putri	ADJ
cte-106	198	11	,	,	PUNCT
cte-106	198	12	r.i.i	r.i.i	NOUN
cte-106	198	13	.	.	PROPN
cte-106	198	14	and	and	CCONJ
cte-106	198	15	darmawijoyo	darmawijoyo	NOUN
cte-106	198	16	,	,	PUNCT
cte-106	198	17	2018	2018	NUM
cte-106	198	18	.	.	PUNCT
cte-106	199	1	mathematical	mathematical	ADJ
cte-106	199	2	learning	learning	NOUN
cte-106	199	3	through	through	ADP
cte-106	199	4	modeling	model	VERB
cte-106	199	5	task	task	NOUN
cte-106	199	6	in	in	ADP
cte-106	199	7	senior	senior	ADJ
cte-106	199	8	high	high	ADJ
cte-106	199	9	school	school	NOUN
cte-106	199	10	:	:	PUNCT
cte-106	199	11	using	use	VERB
cte-106	199	12	nutrition	nutrition	NOUN
cte-106	199	13	context	context	NOUN
cte-106	199	14	.	.	PUNCT
cte-106	200	1	journal	journal	PROPN
cte-106	200	2	of	of	ADP
cte-106	200	3	physics	physics	PROPN
cte-106	200	4	:	:	PUNCT
cte-106	200	5	conference	conference	NOUN
cte-106	200	6	series	series	NOUN
cte-106	200	7	,	,	PUNCT
cte-106	200	8	1097	1097	NUM
cte-106	200	9	,	,	PUNCT
cte-106	200	10	p.012102	p.012102	PRON
cte-106	200	11	.	.	PUNCT
cte-106	201	1	available	available	ADJ
cte-106	201	2	from	from	ADP
cte-106	201	3	:	:	PUNCT
cte-106	201	4	https://doi.org/10.1088/1742-6596/1097/1/012102	https://doi.org/10.1088/1742-6596/1097/1/012102	PRON
cte-106	201	5	.	.	PUNCT
cte-106	202	1	[	[	X
cte-106	202	2	10	10	NUM
cte-106	202	3	]	]	X
cte-106	202	4	shokaliuk	shokaliuk	NOUN
cte-106	202	5	,	,	PUNCT
cte-106	202	6	s.v	s.v	PROPN
cte-106	202	7	.	.	PROPN
cte-106	202	8	,	,	PUNCT
cte-106	202	9	bohunenko	bohunenko	PROPN
cte-106	202	10	,	,	PUNCT
cte-106	202	11	y.y	y.y	PROPN
cte-106	202	12	.	.	PROPN
cte-106	202	13	,	,	PUNCT
cte-106	202	14	lovianova	lovianova	PROPN
cte-106	202	15	,	,	PUNCT
cte-106	202	16	i.v	i.v	PROPN
cte-106	202	17	.	.	PROPN
cte-106	202	18	and	and	CCONJ
cte-106	202	19	shyshkina	shyshkina	PROPN
cte-106	202	20	,	,	PUNCT
cte-106	202	21	m.p	m.p	PROPN
cte-106	202	22	.	.	PROPN
cte-106	202	23	,	,	PUNCT
cte-106	202	24	2020	2020	NUM
cte-106	202	25	.	.	PUNCT
cte-106	203	1	technologies	technology	NOUN
cte-106	203	2	of	of	ADP
cte-106	203	3	distance	distance	NOUN
cte-106	203	4	learning	learn	VERB
cte-106	203	5	for	for	ADP
cte-106	203	6	programming	programming	NOUN
cte-106	203	7	basics	basic	NOUN
cte-106	203	8	on	on	ADP
cte-106	203	9	the	the	DET
cte-106	203	10	principles	principle	NOUN
cte-106	203	11	of	of	ADP
cte-106	203	12	integrated	integrate	VERB
cte-106	203	13	development	development	NOUN
cte-106	203	14	of	of	ADP
cte-106	203	15	key	key	ADJ
cte-106	203	16	competences	competence	NOUN
cte-106	203	17	.	.	PUNCT
cte-106	204	1	ceur	ceur	PROPN
cte-106	204	2	workshop	workshop	NOUN
cte-106	204	3	proceedings	proceeding	NOUN
cte-106	204	4	,	,	PUNCT
cte-106	204	5	2643	2643	NUM
cte-106	204	6	,	,	PUNCT
cte-106	204	7	pp.548–562	pp.548–562	NOUN
cte-106	204	8	.	.	PUNCT
cte-106	205	1	[	[	X
cte-106	205	2	11	11	NUM
cte-106	205	3	]	]	X
cte-106	205	4	striuk	striuk	NOUN
cte-106	205	5	,	,	PUNCT
cte-106	205	6	m.i	m.i	PROPN
cte-106	205	7	.	.	PROPN
cte-106	205	8	,	,	PUNCT
cte-106	205	9	semerikov	semerikov	PROPN
cte-106	205	10	,	,	PUNCT
cte-106	205	11	s.o	s.o	PROPN
cte-106	205	12	.	.	PROPN
cte-106	205	13	and	and	CCONJ
cte-106	205	14	striuk	striuk	NOUN
cte-106	205	15	,	,	PUNCT
cte-106	205	16	a.m.	a.m.	ADV
cte-106	205	17	,	,	PUNCT
cte-106	205	18	2015	2015	NUM
cte-106	205	19	.	.	PUNCT
cte-106	206	1	mobility	mobility	NOUN
cte-106	206	2	:	:	PUNCT
cte-106	206	3	a	a	DET
cte-106	206	4	systems	system	NOUN
cte-106	206	5	approach	approach	NOUN
cte-106	206	6	.	.	PUNCT
cte-106	207	1	information	information	NOUN
cte-106	207	2	technologies	technology	NOUN
cte-106	207	3	and	and	CCONJ
cte-106	207	4	learning	learning	NOUN
cte-106	207	5	tools	tool	NOUN
cte-106	207	6	,	,	PUNCT
cte-106	207	7	49(5	49(5	NUM
cte-106	207	8	)	)	PUNCT
cte-106	207	9	,	,	PUNCT
cte-106	207	10	pp.37–70	pp.37–70	NOUN
cte-106	207	11	.	.	PUNCT
cte-106	208	1	available	available	ADJ
cte-106	208	2	from	from	ADP
cte-106	208	3	:	:	PUNCT
cte-106	208	4	https://doi	https://doi	PROPN
cte-106	208	5	.	.	PUNCT
cte-106	208	6	org/10.33407	org/10.33407	NOUN
cte-106	208	7	/	/	SYM
cte-106	208	8	itlt.v49i5.1263	itlt.v49i5.1263	NOUN
cte-106	208	9	.	.	PUNCT
cte-106	209	1	[	[	X
cte-106	209	2	12	12	NUM
cte-106	209	3	]	]	SYM
cte-106	209	4	teplytskyi	teplytskyi	PROPN
cte-106	209	5	,	,	PUNCT
cte-106	209	6	i.o	i.o	PROPN
cte-106	209	7	.	.	PROPN
cte-106	209	8	,	,	PUNCT
cte-106	209	9	2022	2022	NUM
cte-106	209	10	.	.	PUNCT
cte-106	209	11	physics	physics	NOUN
cte-106	209	12	models	model	NOUN
cte-106	209	13	in	in	ADP
cte-106	209	14	the	the	DET
cte-106	209	15	course	course	NOUN
cte-106	209	16	“	"	PUNCT
cte-106	209	17	the	the	DET
cte-106	209	18	basics	basic	NOUN
cte-106	209	19	of	of	ADP
cte-106	209	20	computer	computer	NOUN
cte-106	209	21	simulation	simulation	NOUN
cte-106	209	22	”	"	PUNCT
cte-106	209	23	.	.	PUNCT
cte-106	210	1	acns	acns	PROPN
cte-106	210	2	conference	conference	NOUN
cte-106	210	3	series	series	NOUN
cte-106	210	4	:	:	PUNCT
cte-106	210	5	social	social	ADJ
cte-106	210	6	sciences	science	NOUN
cte-106	210	7	and	and	CCONJ
cte-106	210	8	humanities	humanity	NOUN
cte-106	210	9	,	,	PUNCT
cte-106	210	10	1	1	NUM
cte-106	210	11	,	,	PUNCT
cte-106	210	12	p.01002	p.01002	NOUN
cte-106	210	13	.	.	PUNCT
cte-106	211	1	available	available	ADJ
cte-106	211	2	from	from	ADP
cte-106	211	3	:	:	PUNCT
cte-106	211	4	https	https	NOUN
cte-106	211	5	:	:	PUNCT
cte-106	211	6	//doi.org/10.55056	//doi.org/10.55056	PROPN
cte-106	211	7	/	/	SYM
cte-106	211	8	cs	cs	PROPN
cte-106	211	9	-	-	ADJ
cte-106	211	10	ssh/1/01002	ssh/1/01002	NOUN
cte-106	211	11	.	.	PUNCT
cte-106	212	1	[	[	X
cte-106	212	2	13	13	NUM
cte-106	212	3	]	]	X
cte-106	212	4	vasileva	vasileva	PROPN
cte-106	212	5	,	,	PUNCT
cte-106	212	6	l.n	l.n	PROPN
cte-106	212	7	.	.	PROPN
cte-106	212	8	,	,	PUNCT
cte-106	212	9	kartuzova	kartuzova	PROPN
cte-106	212	10	,	,	PUNCT
cte-106	212	11	t.v	t.v	PROPN
cte-106	212	12	.	.	PROPN
cte-106	212	13	,	,	PUNCT
cte-106	212	14	merlin	merlin	PROPN
cte-106	212	15	,	,	PUNCT
cte-106	212	16	a.v	a.v	PROPN
cte-106	212	17	.	.	PROPN
cte-106	212	18	,	,	PUNCT
cte-106	212	19	merlina	merlina	PROPN
cte-106	212	20	,	,	PUNCT
cte-106	212	21	n.i	n.i	PROPN
cte-106	212	22	.	.	PROPN
cte-106	212	23	and	and	CCONJ
cte-106	212	24	svetlova	svetlova	PROPN
cte-106	212	25	,	,	PUNCT
cte-106	212	26	n.i	n.i	PROPN
cte-106	212	27	.	.	PROPN
cte-106	212	28	,	,	PUNCT
cte-106	212	29	2015	2015	NUM
cte-106	212	30	.	.	PUNCT
cte-106	213	1	formation	formation	NOUN
cte-106	213	2	of	of	ADP
cte-106	213	3	professional	professional	ADJ
cte-106	213	4	-	-	PUNCT
cte-106	213	5	mathematical	mathematical	ADJ
cte-106	213	6	competence	competence	NOUN
cte-106	213	7	of	of	ADP
cte-106	213	8	students	student	NOUN
cte-106	213	9	in	in	ADP
cte-106	213	10	the	the	DET
cte-106	213	11	field	field	NOUN
cte-106	213	12	of	of	ADP
cte-106	213	13	technical	technical	ADJ
cte-106	213	14	training	training	NOUN
cte-106	213	15	based	base	VERB
cte-106	213	16	on	on	ADP
cte-106	213	17	interdisciplinary	interdisciplinary	ADJ
cte-106	213	18	integration	integration	NOUN
cte-106	213	19	of	of	ADP
cte-106	213	20	mathematics	mathematic	NOUN
cte-106	213	21	and	and	CCONJ
cte-106	213	22	computer	computer	NOUN
cte-106	213	23	science	science	NOUN
cte-106	213	24	.	.	PUNCT
cte-106	214	1	mediterranean	mediterranean	PROPN
cte-106	214	2	journal	journal	PROPN
cte-106	214	3	of	of	ADP
cte-106	214	4	social	social	ADJ
cte-106	214	5	sciences	science	NOUN
cte-106	214	6	,	,	PUNCT
cte-106	214	7	6(2	6(2	PROPN
cte-106	214	8	s3	s3	PROPN
cte-106	214	9	)	)	PUNCT
cte-106	214	10	,	,	PUNCT
cte-106	214	11	p.90	p.90	PROPN
cte-106	214	12	.	.	PUNCT
cte-106	214	13	available	available	ADJ
cte-106	214	14	from	from	ADP
cte-106	214	15	:	:	PUNCT
cte-106	214	16	https://www.richtmann.org/journal/	https://www.richtmann.org/journal/	X
cte-106	214	17	index.php/mjss/article/view/6028	index.php/mjss/article/view/6028	PROPN
cte-106	214	18	.	.	PROPN
cte-106	215	1	106	106	NUM
cte-106	215	2	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	PROPN
cte-106	215	3	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	PROPN
cte-106	215	4	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	http://www.idpublications.org/wp-content/uploads/2020/03/full-paper-a-systematic-approach-to-the-development-of-mathematical-competence-among-students-of.pdf	PROPN
cte-106	215	5	http://nbuv.gov.ua/ujrn/nvkogpth_2015_5_26	http://nbuv.gov.ua/ujrn/nvkogpth_2015_5_26	PROPN
cte-106	215	6	http://nbuv.gov.ua/ujrn/nvkogpth_2015_5_26	http://nbuv.gov.ua/ujrn/nvkogpth_2015_5_26	PROPN
cte-106	215	7	https://www.conference-board.org/blog/postdetail.cfm?post=5200	https://www.conference-board.org/blog/postdetail.cfm?post=5200	PRON
cte-106	215	8	https://doi.org/10.1088/1742-6596/1097/1/012102	https://doi.org/10.1088/1742-6596/1097/1/012102	PROPN
cte-106	215	9	https://doi.org/10.33407/itlt.v49i5.1263	https://doi.org/10.33407/itlt.v49i5.1263	CCONJ
cte-106	215	10	https://doi.org/10.33407/itlt.v49i5.1263	https://doi.org/10.33407/itlt.v49i5.1263	CCONJ
cte-106	215	11	https://doi.org/10.55056/cs-ssh/1/01002	https://doi.org/10.55056/cs-ssh/1/01002	NUM
cte-106	215	12	https://doi.org/10.55056/cs-ssh/1/01002	https://doi.org/10.55056/cs-ssh/1/01002	NUM
cte-106	215	13	https://www.richtmann.org/journal/index.php/mjss/article/view/6028	https://www.richtmann.org/journal/index.php/mjss/article/view/6028	PROPN
cte-106	215	14	https://www.richtmann.org/journal/index.php/mjss/article/view/6028	https://www.richtmann.org/journal/index.php/mjss/article/view/6028	NOUN
cte-106	215	15	1	1	NUM
cte-106	215	16	introduction	introduction	NOUN
cte-106	215	17	2	2	NUM
cte-106	215	18	related	relate	VERB
cte-106	215	19	work	work	NOUN
cte-106	215	20	3	3	NUM
cte-106	215	21	research	research	NOUN
cte-106	215	22	methods	method	NOUN
cte-106	215	23	4	4	NUM
cte-106	215	24	application	application	NOUN
cte-106	215	25	of	of	ADP
cte-106	215	26	ibme	ibme	NOUN
cte-106	215	27	approaches	approach	NOUN
cte-106	215	28	in	in	ADP
cte-106	215	29	computer	computer	NOUN
cte-106	215	30	mathematical	mathematical	ADJ
cte-106	215	31	modeling	model	VERB
cte-106	215	32	5	5	NUM
cte-106	215	33	conclusions	conclusion	NOUN