id	sid	tid	token	lemma	pos
easat-2687	1	1	edelweiss	edelweiss	PROPN
easat-2687	1	2	applied	apply	VERB
easat-2687	1	3	science	science	NOUN
easat-2687	1	4	and	and	CCONJ
easat-2687	1	5	technology	technology	NOUN
easat-2687	1	6	issn	issn	PROPN
easat-2687	1	7	:	:	PUNCT
easat-2687	1	8	2576	2576	NUM
easat-2687	1	9	-	-	SYM
easat-2687	1	10	8484	8484	NUM
easat-2687	1	11	vol	vol	NOUN
easat-2687	1	12	.	.	PROPN
easat-2687	1	13	8	8	NUM
easat-2687	1	14	,	,	PUNCT
easat-2687	1	15	no	no	INTJ
easat-2687	1	16	.	.	NOUN
easat-2687	1	17	6	6	NUM
easat-2687	1	18	,	,	PUNCT
easat-2687	1	19	3230	3230	NUM
easat-2687	1	20	-	-	SYM
easat-2687	1	21	3247	3247	NUM
easat-2687	1	22	2024	2024	NUM
easat-2687	1	23	publisher	publisher	NOUN
easat-2687	1	24	:	:	PUNCT
easat-2687	1	25	learning	learn	VERB
easat-2687	1	26	gate	gate	NOUN
easat-2687	1	27	doi	doi	PROPN
easat-2687	1	28	:	:	PUNCT
easat-2687	1	29	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	PROPN
easat-2687	1	30	©	©	PROPN
easat-2687	1	31	2024	2024	NUM
easat-2687	1	32	by	by	ADP
easat-2687	1	33	the	the	DET
easat-2687	1	34	authors	author	NOUN
easat-2687	1	35	;	;	PUNCT
easat-2687	1	36	licensee	licensee	PROPN
easat-2687	1	37	learning	learning	NOUN
easat-2687	1	38	gate	gate	NOUN
easat-2687	1	39	©	©	PROPN
easat-2687	1	40	2024	2024	NUM
easat-2687	1	41	by	by	ADP
easat-2687	1	42	the	the	DET
easat-2687	1	43	authors	author	NOUN
easat-2687	1	44	;	;	PUNCT
easat-2687	1	45	licensee	licensee	PROPN
easat-2687	1	46	learning	learn	VERB
easat-2687	1	47	gate	gate	NOUN
easat-2687	1	48	*	*	PUNCT
easat-2687	1	49	correspondence	correspondence	NOUN
easat-2687	1	50	:	:	PUNCT
easat-2687	1	51	rita_lefrida@untad.ac.id	rita_lefrida@untad.ac.id	X
easat-2687	1	52	students	student	NOUN
easat-2687	1	53	’	'	PUNCT
easat-2687	1	54	commognitive	commognitive	ADJ
easat-2687	1	55	conflicts	conflict	NOUN
easat-2687	1	56	in	in	ADP
easat-2687	1	57	solving	solve	VERB
easat-2687	1	58	absolute	absolute	ADJ
easat-2687	1	59	value	value	NOUN
easat-2687	1	60	inequalities	inequality	NOUN
easat-2687	1	61	rita	rita	PROPN
easat-2687	1	62	lefrida1	lefrida1	PROPN
easat-2687	1	63	*	*	PROPN
easat-2687	1	64	,	,	PUNCT
easat-2687	1	65	sutji	sutji	PROPN
easat-2687	1	66	rochaminah2	rochaminah2	NOUN
easat-2687	1	67	,	,	PUNCT
easat-2687	1	68	bakri	bakri	NOUN
easat-2687	1	69	m3	m3	PROPN
easat-2687	1	70	,	,	PUNCT
easat-2687	1	71	alfisyahra4	alfisyahra4	VERB
easat-2687	1	72	1,2,3,4department	1,2,3,4department	NUM
easat-2687	1	73	of	of	ADP
easat-2687	1	74	mathematics	mathematic	NOUN
easat-2687	1	75	education	education	NOUN
easat-2687	1	76	,	,	PUNCT
easat-2687	1	77	universitas	universitas	PROPN
easat-2687	1	78	tadulako	tadulako	PROPN
easat-2687	1	79	,	,	PUNCT
easat-2687	1	80	palu	palu	PROPN
easat-2687	1	81	,	,	PUNCT
easat-2687	1	82	indonesia	indonesia	PROPN
easat-2687	1	83	;	;	PUNCT
easat-2687	1	84	rita_lefrida@untad.ac.id	rita_lefrida@untad.ac.id	X
easat-2687	1	85	(	(	PUNCT
easat-2687	1	86	r.l	r.l	PROPN
easat-2687	1	87	.	.	PUNCT
easat-2687	1	88	)	)	PUNCT
easat-2687	2	1	sucipalu@gmail.com	sucipalu@gmail.com	X
easat-2687	3	1	(	(	PUNCT
easat-2687	3	2	s.r	s.r	PROPN
easat-2687	3	3	.	.	PROPN
easat-2687	3	4	)	)	PUNCT
easat-2687	3	5	bakri88oke@gmail.com	bakri88oke@gmail.com	X
easat-2687	4	1	(	(	PUNCT
easat-2687	4	2	b.m	b.m	PROPN
easat-2687	4	3	.	.	PROPN
easat-2687	4	4	)	)	PUNCT
easat-2687	5	1	alfisyahra27@gmail.com	alfisyahra27@gmail.com	X
easat-2687	5	2	(	(	PUNCT
easat-2687	5	3	a.	a.	NOUN
easat-2687	5	4	)	)	PUNCT
easat-2687	5	5	.	.	PUNCT
easat-2687	6	1	abstract	abstract	ADV
easat-2687	6	2	:	:	PUNCT
easat-2687	6	3	the	the	DET
easat-2687	6	4	material	material	NOUN
easat-2687	6	5	of	of	ADP
easat-2687	6	6	absolute	absolute	ADJ
easat-2687	6	7	value	value	NOUN
easat-2687	6	8	inequalities	inequality	NOUN
easat-2687	6	9	is	be	AUX
easat-2687	6	10	considered	consider	VERB
easat-2687	6	11	more	more	ADV
easat-2687	6	12	difficult	difficult	ADJ
easat-2687	6	13	to	to	PART
easat-2687	6	14	study	study	VERB
easat-2687	6	15	.	.	PUNCT
easat-2687	7	1	there	there	PRON
easat-2687	7	2	are	be	VERB
easat-2687	7	3	still	still	ADV
easat-2687	7	4	many	many	ADJ
easat-2687	7	5	undergraduate	undergraduate	ADJ
easat-2687	7	6	students	student	NOUN
easat-2687	7	7	who	who	PRON
easat-2687	7	8	still	still	ADV
easat-2687	7	9	make	make	VERB
easat-2687	7	10	mistakes	mistake	NOUN
easat-2687	7	11	in	in	ADP
easat-2687	7	12	understanding	understanding	NOUN
easat-2687	7	13	and	and	CCONJ
easat-2687	7	14	solving	solve	VERB
easat-2687	7	15	problems	problem	NOUN
easat-2687	7	16	related	relate	VERB
easat-2687	7	17	to	to	ADP
easat-2687	7	18	this	this	DET
easat-2687	7	19	topic	topic	NOUN
easat-2687	7	20	.	.	PUNCT
easat-2687	8	1	moreover	moreover	ADV
easat-2687	8	2	,	,	PUNCT
easat-2687	8	3	some	some	PRON
easat-2687	8	4	of	of	ADP
easat-2687	8	5	them	they	PRON
easat-2687	8	6	do	do	AUX
easat-2687	8	7	not	not	PART
easat-2687	8	8	yet	yet	ADV
easat-2687	8	9	know	know	VERB
easat-2687	8	10	how	how	SCONJ
easat-2687	8	11	to	to	PART
easat-2687	8	12	read	read	VERB
easat-2687	8	13	the	the	DET
easat-2687	8	14	symbols	symbol	NOUN
easat-2687	8	15	.	.	PUNCT
easat-2687	9	1	therefore	therefore	ADV
easat-2687	9	2	,	,	PUNCT
easat-2687	9	3	these	these	DET
easat-2687	9	4	issues	issue	NOUN
easat-2687	9	5	need	need	VERB
easat-2687	9	6	to	to	PART
easat-2687	9	7	be	be	AUX
easat-2687	9	8	studied	study	VERB
easat-2687	9	9	more	more	ADV
easat-2687	9	10	thoroughly	thoroughly	ADV
easat-2687	9	11	.	.	PUNCT
easat-2687	10	1	this	this	DET
easat-2687	10	2	research	research	NOUN
easat-2687	10	3	was	be	AUX
easat-2687	10	4	conducted	conduct	VERB
easat-2687	10	5	to	to	PART
easat-2687	10	6	explore	explore	VERB
easat-2687	10	7	the	the	DET
easat-2687	10	8	undergraduate	undergraduate	ADJ
easat-2687	10	9	students	student	NOUN
easat-2687	10	10	’	'	PUNCT
easat-2687	10	11	discourse	discourse	NOUN
easat-2687	10	12	on	on	ADP
easat-2687	10	13	absolute	absolute	ADJ
easat-2687	10	14	value	value	NOUN
easat-2687	10	15	inequality	inequality	NOUN
easat-2687	10	16	tasks	task	NOUN
easat-2687	10	17	through	through	ADP
easat-2687	10	18	commognitive	commognitive	ADJ
easat-2687	10	19	analysis	analysis	NOUN
easat-2687	10	20	.	.	PUNCT
easat-2687	11	1	a	a	DET
easat-2687	11	2	qualitative	qualitative	ADJ
easat-2687	11	3	approach	approach	NOUN
easat-2687	11	4	was	be	AUX
easat-2687	11	5	applied	apply	VERB
easat-2687	11	6	,	,	PUNCT
easat-2687	11	7	involving	involve	VERB
easat-2687	11	8	78	78	NUM
easat-2687	11	9	participants	participant	NOUN
easat-2687	11	10	;	;	PUNCT
easat-2687	11	11	11	11	NUM
easat-2687	11	12	of	of	ADP
easat-2687	11	13	them	they	PRON
easat-2687	11	14	were	be	AUX
easat-2687	11	15	further	far	ADV
easat-2687	11	16	interviewed	interview	VERB
easat-2687	11	17	.	.	PUNCT
easat-2687	12	1	the	the	DET
easat-2687	12	2	analysis	analysis	NOUN
easat-2687	12	3	of	of	ADP
easat-2687	12	4	the	the	DET
easat-2687	12	5	absolute	absolute	ADJ
easat-2687	12	6	value	value	NOUN
easat-2687	12	7	inequality	inequality	NOUN
easat-2687	12	8	tasks	task	NOUN
easat-2687	12	9	and	and	CCONJ
easat-2687	12	10	the	the	DET
easat-2687	12	11	interview	interview	NOUN
easat-2687	12	12	results	result	NOUN
easat-2687	12	13	revealed	reveal	VERB
easat-2687	12	14	that	that	SCONJ
easat-2687	12	15	there	there	PRON
easat-2687	12	16	were	be	VERB
easat-2687	12	17	commognitive	commognitive	ADJ
easat-2687	12	18	conflicts	conflict	NOUN
easat-2687	12	19	that	that	PRON
easat-2687	12	20	needed	need	VERB
easat-2687	12	21	to	to	PART
easat-2687	12	22	be	be	AUX
easat-2687	12	23	addressed	address	VERB
easat-2687	12	24	.	.	PUNCT
easat-2687	13	1	the	the	DET
easat-2687	13	2	findings	finding	NOUN
easat-2687	13	3	of	of	ADP
easat-2687	13	4	this	this	DET
easat-2687	13	5	research	research	NOUN
easat-2687	13	6	showed	show	VERB
easat-2687	13	7	that	that	SCONJ
easat-2687	13	8	commognitive	commognitive	ADJ
easat-2687	13	9	conflicts	conflict	NOUN
easat-2687	13	10	arose	arise	VERB
easat-2687	13	11	when	when	SCONJ
easat-2687	13	12	the	the	DET
easat-2687	13	13	undergraduate	undergraduate	NOUN
easat-2687	13	14	students	student	NOUN
easat-2687	13	15	applied	apply	VERB
easat-2687	13	16	the	the	DET
easat-2687	13	17	definition	definition	NOUN
easat-2687	13	18	of	of	ADP
easat-2687	13	19	absolute	absolute	ADJ
easat-2687	13	20	value	value	NOUN
easat-2687	13	21	and	and	CCONJ
easat-2687	13	22	determined	determine	VERB
easat-2687	13	23	the	the	DET
easat-2687	13	24	solution	solution	NOUN
easat-2687	13	25	set	set	VERB
easat-2687	13	26	for	for	ADP
easat-2687	13	27	the	the	DET
easat-2687	13	28	absolute	absolute	ADJ
easat-2687	13	29	value	value	NOUN
easat-2687	13	30	inequality	inequality	NOUN
easat-2687	13	31	problems	problem	NOUN
easat-2687	13	32	.	.	PUNCT
easat-2687	14	1	keywords	keyword	NOUN
easat-2687	14	2	:	:	PUNCT
easat-2687	14	3	absolute	absolute	ADJ
easat-2687	14	4	value	value	NOUN
easat-2687	14	5	,	,	PUNCT
easat-2687	14	6	commognitive	commognitive	ADJ
easat-2687	14	7	,	,	PUNCT
easat-2687	14	8	discourse	discourse	NOUN
easat-2687	14	9	,	,	PUNCT
easat-2687	14	10	meta	meta	ADJ
easat-2687	14	11	-	-	PUNCT
easat-2687	14	12	level	level	NOUN
easat-2687	14	13	learning	learning	NOUN
easat-2687	14	14	.	.	PUNCT
easat-2687	15	1	1	1	X
easat-2687	15	2	.	.	X
easat-2687	15	3	introduction	introduction	NOUN
easat-2687	15	4	language	language	NOUN
easat-2687	15	5	will	will	AUX
easat-2687	15	6	always	always	ADV
easat-2687	15	7	be	be	AUX
easat-2687	15	8	present	present	ADJ
easat-2687	15	9	wherever	wherever	SCONJ
easat-2687	15	10	we	we	PRON
easat-2687	15	11	are	be	AUX
easat-2687	15	12	,	,	PUNCT
easat-2687	15	13	even	even	ADV
easat-2687	15	14	when	when	SCONJ
easat-2687	15	15	we	we	PRON
easat-2687	15	16	are	be	AUX
easat-2687	15	17	silent	silent	ADJ
easat-2687	15	18	(	(	PUNCT
easat-2687	15	19	sfard	sfard	NOUN
easat-2687	15	20	,	,	PUNCT
easat-2687	15	21	2021	2021	NUM
easat-2687	15	22	)	)	PUNCT
easat-2687	15	23	.	.	PUNCT
easat-2687	16	1	furthermore	furthermore	ADV
easat-2687	16	2	,	,	PUNCT
easat-2687	16	3	according	accord	VERB
easat-2687	16	4	to	to	ADP
easat-2687	16	5	sfard	sfard	NOUN
easat-2687	16	6	(	(	PUNCT
easat-2687	16	7	2021	2021	NUM
easat-2687	16	8	)	)	PUNCT
easat-2687	16	9	,	,	PUNCT
easat-2687	16	10	attention	attention	NOUN
easat-2687	16	11	to	to	ADP
easat-2687	16	12	language	language	NOUN
easat-2687	16	13	in	in	ADP
easat-2687	16	14	mathematics	mathematics	NOUN
easat-2687	16	15	education	education	NOUN
easat-2687	16	16	is	be	AUX
easat-2687	16	17	relatively	relatively	ADV
easat-2687	16	18	new	new	ADJ
easat-2687	16	19	,	,	PUNCT
easat-2687	16	20	as	as	SCONJ
easat-2687	16	21	researchers	researcher	NOUN
easat-2687	16	22	have	have	AUX
easat-2687	16	23	been	be	AUX
easat-2687	16	24	keen	keen	ADJ
easat-2687	16	25	on	on	ADP
easat-2687	16	26	investigating	investigate	VERB
easat-2687	16	27	mathematical	mathematical	ADJ
easat-2687	16	28	activities	activity	NOUN
easat-2687	16	29	without	without	ADP
easat-2687	16	30	much	much	ADJ
easat-2687	16	31	consideration	consideration	NOUN
easat-2687	16	32	of	of	ADP
easat-2687	16	33	the	the	DET
easat-2687	16	34	language	language	NOUN
easat-2687	16	35	used	use	VERB
easat-2687	16	36	in	in	ADP
easat-2687	16	37	those	those	DET
easat-2687	16	38	activities	activity	NOUN
easat-2687	16	39	.	.	PUNCT
easat-2687	17	1	baroody	baroody	NOUN
easat-2687	17	2	(	(	PUNCT
easat-2687	17	3	1993	1993	NUM
easat-2687	17	4	)	)	PUNCT
easat-2687	17	5	stated	state	VERB
easat-2687	17	6	that	that	SCONJ
easat-2687	17	7	:	:	PUNCT
easat-2687	17	8	(	(	PUNCT
easat-2687	17	9	1	1	X
easat-2687	17	10	)	)	PUNCT
easat-2687	17	11	“	"	PUNCT
easat-2687	17	12	mathematics	mathematic	NOUN
easat-2687	17	13	as	as	ADP
easat-2687	17	14	language	language	NOUN
easat-2687	17	15	’	'	PUNCT
easat-2687	17	16	;	;	PUNCT
easat-2687	17	17	mathematics	mathematic	NOUN
easat-2687	17	18	is	be	AUX
easat-2687	17	19	not	not	PART
easat-2687	17	20	only	only	ADV
easat-2687	17	21	a	a	DET
easat-2687	17	22	tool	tool	NOUN
easat-2687	17	23	for	for	ADP
easat-2687	17	24	thinking	thinking	NOUN
easat-2687	17	25	,	,	PUNCT
easat-2687	17	26	finding	find	VERB
easat-2687	17	27	patterns	pattern	NOUN
easat-2687	17	28	,	,	PUNCT
easat-2687	17	29	or	or	CCONJ
easat-2687	17	30	solving	solve	VERB
easat-2687	17	31	problems	problem	NOUN
easat-2687	17	32	,	,	PUNCT
easat-2687	17	33	but	but	CCONJ
easat-2687	17	34	also	also	ADV
easat-2687	17	35	a	a	DET
easat-2687	17	36	tool	tool	NOUN
easat-2687	17	37	for	for	ADP
easat-2687	17	38	conveying	convey	VERB
easat-2687	17	39	ideas	idea	NOUN
easat-2687	17	40	precisely	precisely	ADV
easat-2687	17	41	and	and	CCONJ
easat-2687	17	42	clearly	clearly	ADV
easat-2687	17	43	,	,	PUNCT
easat-2687	17	44	and	and	CCONJ
easat-2687	17	45	(	(	PUNCT
easat-2687	17	46	2	2	X
easat-2687	17	47	)	)	PUNCT
easat-2687	17	48	“	"	PUNCT
easat-2687	17	49	mathematics	mathematic	NOUN
easat-2687	17	50	learning	learn	VERB
easat-2687	17	51	as	as	ADP
easat-2687	17	52	social	social	ADJ
easat-2687	17	53	activity	activity	NOUN
easat-2687	17	54	”	"	PUNCT
easat-2687	17	55	;	;	PUNCT
easat-2687	17	56	as	as	ADP
easat-2687	17	57	a	a	DET
easat-2687	17	58	social	social	ADJ
easat-2687	17	59	activity	activity	NOUN
easat-2687	17	60	,	,	PUNCT
easat-2687	17	61	mathematics	mathematic	NOUN
easat-2687	17	62	learning	learning	NOUN
easat-2687	17	63	involves	involve	VERB
easat-2687	17	64	interactions	interaction	NOUN
easat-2687	17	65	between	between	ADP
easat-2687	17	66	students	student	NOUN
easat-2687	17	67	and	and	CCONJ
easat-2687	17	68	students	student	NOUN
easat-2687	17	69	.	.	PUNCT
easat-2687	18	1	additionally	additionally	ADV
easat-2687	18	2	,	,	PUNCT
easat-2687	18	3	communication	communication	NOUN
easat-2687	18	4	between	between	ADP
easat-2687	18	5	teachers	teacher	NOUN
easat-2687	18	6	and	and	CCONJ
easat-2687	18	7	students	student	NOUN
easat-2687	18	8	is	be	AUX
easat-2687	18	9	a	a	DET
easat-2687	18	10	crucial	crucial	ADJ
easat-2687	18	11	part	part	NOUN
easat-2687	18	12	of	of	ADP
easat-2687	18	13	uncovering	uncover	VERB
easat-2687	18	14	students	student	NOUN
easat-2687	18	15	’	'	PUNCT
easat-2687	18	16	mathematical	mathematical	ADJ
easat-2687	18	17	potential	potential	NOUN
easat-2687	18	18	.	.	PUNCT
easat-2687	19	1	mathematics	mathematic	NOUN
easat-2687	19	2	is	be	AUX
easat-2687	19	3	a	a	DET
easat-2687	19	4	unique	unique	ADJ
easat-2687	19	5	language	language	NOUN
easat-2687	19	6	consisting	consist	VERB
easat-2687	19	7	of	of	ADP
easat-2687	19	8	words	word	NOUN
easat-2687	19	9	,	,	PUNCT
easat-2687	19	10	tables	table	NOUN
easat-2687	19	11	,	,	PUNCT
easat-2687	19	12	and	and	CCONJ
easat-2687	19	13	illustrations	illustration	NOUN
easat-2687	19	14	,	,	PUNCT
easat-2687	19	15	such	such	ADJ
easat-2687	19	16	as	as	ADP
easat-2687	19	17	graphs	graph	NOUN
easat-2687	19	18	and	and	CCONJ
easat-2687	19	19	symbols	symbol	NOUN
easat-2687	19	20	(	(	PUNCT
easat-2687	19	21	tong	tong	PROPN
easat-2687	19	22	et	et	PROPN
easat-2687	19	23	al	al	PROPN
easat-2687	19	24	.	.	PROPN
easat-2687	19	25	,	,	PUNCT
easat-2687	19	26	2021	2021	NUM
easat-2687	19	27	)	)	PUNCT
easat-2687	19	28	.	.	PUNCT
easat-2687	20	1	mathematics	mathematic	NOUN
easat-2687	20	2	can	can	AUX
easat-2687	20	3	be	be	AUX
easat-2687	20	4	viewed	view	VERB
easat-2687	20	5	as	as	ADP
easat-2687	20	6	an	an	DET
easat-2687	20	7	activity	activity	NOUN
easat-2687	20	8	of	of	ADP
easat-2687	20	9	training	training	NOUN
easat-2687	20	10	a	a	DET
easat-2687	20	11	certain	certain	ADJ
easat-2687	20	12	form	form	NOUN
easat-2687	20	13	of	of	ADP
easat-2687	20	14	communication	communication	NOUN
easat-2687	20	15	called	call	VERB
easat-2687	20	16	‘	'	PUNCT
easat-2687	20	17	discourse	discourse	NOUN
easat-2687	20	18	.	.	PUNCT
easat-2687	20	19	’	'	PUNCT
easat-2687	21	1	thus	thus	ADV
easat-2687	21	2	,	,	PUNCT
easat-2687	21	3	mathematics	mathematic	NOUN
easat-2687	21	4	is	be	AUX
easat-2687	21	5	a	a	DET
easat-2687	21	6	discourse	discourse	NOUN
easat-2687	21	7	that	that	PRON
easat-2687	21	8	can	can	AUX
easat-2687	21	9	not	not	PART
easat-2687	21	10	be	be	AUX
easat-2687	21	11	equated	equate	VERB
easat-2687	21	12	with	with	ADP
easat-2687	21	13	the	the	DET
easat-2687	21	14	often	often	ADV
easat-2687	21	15	-	-	PUNCT
easat-2687	21	16	heard	hear	VERB
easat-2687	21	17	and	and	CCONJ
easat-2687	21	18	criticized	criticize	VERB
easat-2687	21	19	statement	statement	NOUN
easat-2687	21	20	that	that	SCONJ
easat-2687	21	21	mathematics	mathematic	NOUN
easat-2687	21	22	is	be	AUX
easat-2687	21	23	a	a	DET
easat-2687	21	24	language	language	NOUN
easat-2687	21	25	(	(	PUNCT
easat-2687	21	26	sfard	sfard	NOUN
easat-2687	21	27	,	,	PUNCT
easat-2687	21	28	2012	2012	NUM
easat-2687	21	29	;	;	PUNCT
easat-2687	21	30	2021	2021	NUM
easat-2687	21	31	)	)	PUNCT
easat-2687	21	32	.	.	PUNCT
easat-2687	22	1	this	this	PRON
easat-2687	22	2	is	be	AUX
easat-2687	22	3	because	because	SCONJ
easat-2687	22	4	there	there	PRON
easat-2687	22	5	are	be	VERB
easat-2687	22	6	several	several	ADJ
easat-2687	22	7	elements	element	NOUN
easat-2687	22	8	of	of	ADP
easat-2687	22	9	mathematics	mathematic	NOUN
easat-2687	22	10	that	that	PRON
easat-2687	22	11	make	make	VERB
easat-2687	22	12	the	the	DET
easat-2687	22	13	‘	'	PUNCT
easat-2687	22	14	discourse	discourse	NOUN
easat-2687	22	15	’	'	PUNCT
easat-2687	22	16	different	different	ADJ
easat-2687	22	17	,	,	PUNCT
easat-2687	22	18	namely	namely	ADV
easat-2687	22	19	keywords	keyword	NOUN
easat-2687	22	20	,	,	PUNCT
easat-2687	22	21	visual	visual	ADJ
easat-2687	22	22	mediators	mediator	NOUN
easat-2687	22	23	,	,	PUNCT
easat-2687	22	24	narratives	narrative	NOUN
easat-2687	22	25	,	,	PUNCT
easat-2687	22	26	and	and	CCONJ
easat-2687	22	27	routines	routine	NOUN
easat-2687	22	28	.	.	PUNCT
easat-2687	23	1	based	base	VERB
easat-2687	23	2	on	on	ADP
easat-2687	23	3	the	the	DET
easat-2687	23	4	previous	previous	ADJ
easat-2687	23	5	teaching	teaching	NOUN
easat-2687	23	6	experiences	experience	NOUN
easat-2687	23	7	done	do	VERB
easat-2687	23	8	by	by	ADP
easat-2687	23	9	the	the	DET
easat-2687	23	10	researcher	researcher	NOUN
easat-2687	23	11	,	,	PUNCT
easat-2687	23	12	some	some	DET
easat-2687	23	13	undergraduate	undergraduate	ADJ
easat-2687	23	14	students	student	NOUN
easat-2687	23	15	read	read	VERB
easat-2687	23	16	the	the	DET
easat-2687	23	17	same	same	ADJ
easat-2687	23	18	symbols	symbol	NOUN
easat-2687	23	19	differently	differently	ADV
easat-2687	23	20	,	,	PUNCT
easat-2687	23	21	and	and	CCONJ
easat-2687	23	22	some	some	PRON
easat-2687	23	23	of	of	ADP
easat-2687	23	24	them	they	PRON
easat-2687	23	25	even	even	ADV
easat-2687	23	26	did	do	AUX
easat-2687	23	27	not	not	PART
easat-2687	23	28	understand	understand	VERB
easat-2687	23	29	the	the	DET
easat-2687	23	30	symbols	symbol	NOUN
easat-2687	23	31	at	at	ADV
easat-2687	23	32	all	all	ADV
easat-2687	23	33	.	.	PUNCT
easat-2687	24	1	there	there	PRON
easat-2687	24	2	was	be	VERB
easat-2687	24	3	also	also	ADV
easat-2687	24	4	confusion	confusion	NOUN
easat-2687	24	5	in	in	ADP
easat-2687	24	6	understanding	understand	VERB
easat-2687	24	7	mathematical	mathematical	ADJ
easat-2687	24	8	terms	term	NOUN
easat-2687	24	9	,	,	PUNCT
easat-2687	24	10	for	for	ADP
easat-2687	24	11	instance	instance	NOUN
easat-2687	24	12	,	,	PUNCT
easat-2687	24	13	the	the	DET
easat-2687	24	14	students	student	NOUN
easat-2687	24	15	often	often	ADV
easat-2687	24	16	equated	equate	VERB
easat-2687	24	17	the	the	DET
easat-2687	24	18	definition	definition	NOUN
easat-2687	24	19	of	of	ADP
easat-2687	24	20	derivative	derivative	ADJ
easat-2687	24	21	and	and	CCONJ
easat-2687	24	22	differential	differential	ADJ
easat-2687	24	23	terms	term	NOUN
easat-2687	24	24	.	.	PUNCT
easat-2687	25	1	lefrida	lefrida	PROPN
easat-2687	25	2	et	et	PROPN
easat-2687	25	3	al	al	PROPN
easat-2687	25	4	.	.	PROPN
easat-2687	25	5	’s	’s	PART
easat-2687	25	6	(	(	PUNCT
easat-2687	25	7	2023	2023	NUM
easat-2687	25	8	)	)	PUNCT
easat-2687	25	9	earlier	early	ADJ
easat-2687	25	10	research	research	NOUN
easat-2687	25	11	found	find	VERB
easat-2687	25	12	that	that	SCONJ
easat-2687	25	13	students	student	NOUN
easat-2687	25	14	still	still	ADV
easat-2687	25	15	made	make	VERB
easat-2687	25	16	errors	error	NOUN
easat-2687	25	17	by	by	ADP
easat-2687	25	18	saying	say	VERB
easat-2687	25	19	that	that	SCONJ
easat-2687	25	20	a	a	DET
easat-2687	25	21	function	function	NOUN
easat-2687	25	22	having	have	VERB
easat-2687	25	23	a	a	DET
easat-2687	25	24	derivative	derivative	NOUN
easat-2687	25	25	meant	mean	VERB
easat-2687	25	26	it	it	PRON
easat-2687	25	27	also	also	ADV
easat-2687	25	28	had	have	VERB
easat-2687	25	29	a	a	DET
easat-2687	25	30	limit	limit	NOUN
easat-2687	25	31	.	.	PUNCT
easat-2687	26	1	the	the	DET
easat-2687	26	2	students	student	NOUN
easat-2687	26	3	also	also	ADV
easat-2687	26	4	stated	state	VERB
easat-2687	26	5	that	that	SCONJ
easat-2687	26	6	a	a	DET
easat-2687	26	7	function	function	NOUN
easat-2687	26	8	being	be	AUX
easat-2687	26	9	said	say	VERB
easat-2687	26	10	to	to	PART
easat-2687	26	11	be	be	AUX
easat-2687	26	12	a	a	DET
easat-2687	26	13	‘	'	PUNCT
easat-2687	26	14	continuous	continuous	ADJ
easat-2687	26	15	’	'	PUNCT
easat-2687	26	16	function	function	NOUN
easat-2687	26	17	had	have	VERB
easat-2687	26	18	a	a	DET
easat-2687	26	19	limit	limit	NOUN
easat-2687	26	20	.	.	PUNCT
easat-2687	27	1	from	from	ADP
easat-2687	27	2	these	these	DET
easat-2687	27	3	findings	finding	NOUN
easat-2687	27	4	,	,	PUNCT
easat-2687	27	5	the	the	DET
easat-2687	27	6	responses	response	NOUN
easat-2687	27	7	done	do	VERB
easat-2687	27	8	by	by	ADP
easat-2687	27	9	the	the	DET
easat-2687	27	10	students	student	NOUN
easat-2687	27	11	are	be	AUX
easat-2687	27	12	incorrect	incorrect	ADJ
easat-2687	27	13	.	.	PUNCT
easat-2687	28	1	according	accord	VERB
easat-2687	28	2	to	to	ADP
easat-2687	28	3	the	the	DET
easat-2687	28	4	theory	theory	NOUN
easat-2687	28	5	,	,	PUNCT
easat-2687	28	6	a	a	DET
easat-2687	28	7	function	function	NOUN
easat-2687	28	8	that	that	PRON
easat-2687	28	9	has	have	VERB
easat-2687	28	10	a	a	DET
easat-2687	28	11	derivative	derivative	NOUN
easat-2687	28	12	is	be	AUX
easat-2687	28	13	the	the	DET
easat-2687	28	14	function	function	NOUN
easat-2687	28	15	that	that	PRON
easat-2687	28	16	has	have	VERB
easat-2687	28	17	equal	equal	ADJ
easat-2687	28	18	derivatives	derivative	NOUN
easat-2687	28	19	in	in	ADP
easat-2687	28	20	the	the	DET
easat-2687	28	21	left	left	NOUN
easat-2687	28	22	and	and	CCONJ
easat-2687	28	23	right	right	ADJ
easat-2687	28	24	.	.	PUNCT
easat-2687	29	1	the	the	DET
easat-2687	29	2	gap	gap	NOUN
easat-2687	29	3	in	in	ADP
easat-2687	29	4	the	the	DET
easat-2687	29	5	use	use	NOUN
easat-2687	29	6	of	of	ADP
easat-2687	29	7	words	word	NOUN
easat-2687	29	8	by	by	ADP
easat-2687	29	9	people	people	NOUN
easat-2687	29	10	has	have	AUX
easat-2687	29	11	been	be	AUX
easat-2687	29	12	a	a	DET
easat-2687	29	13	phenomenon	phenomenon	NOUN
easat-2687	29	14	worth	worth	ADJ
easat-2687	29	15	studying	study	VERB
easat-2687	29	16	until	until	ADP
easat-2687	29	17	now	now	ADV
easat-2687	29	18	,	,	PUNCT
easat-2687	29	19	especially	especially	ADV
easat-2687	29	20	in	in	ADP
easat-2687	29	21	mathematics	mathematics	NOUN
easat-2687	29	22	classrooms	classroom	NOUN
easat-2687	29	23	(	(	PUNCT
easat-2687	29	24	sfard	sfard	NOUN
easat-2687	29	25	,	,	PUNCT
easat-2687	29	26	2021	2021	NUM
easat-2687	29	27	)	)	PUNCT
easat-2687	29	28	.	.	PUNCT
easat-2687	30	1	this	this	PRON
easat-2687	30	2	is	be	AUX
easat-2687	30	3	also	also	ADV
easat-2687	30	4	in	in	ADP
easat-2687	30	5	line	line	NOUN
easat-2687	30	6	with	with	ADP
easat-2687	30	7	akçakoca	akçakoca	NOUN
easat-2687	30	8	et	et	PROPN
easat-2687	30	9	al	al	PROPN
easat-2687	30	10	.	.	PROPN
easat-2687	31	1	(	(	PUNCT
easat-2687	31	2	2024	2024	NUM
easat-2687	31	3	)	)	PUNCT
easat-2687	31	4	,	,	PUNCT
easat-2687	31	5	who	who	PRON
easat-2687	31	6	stated	state	VERB
easat-2687	31	7	that	that	SCONJ
easat-2687	31	8	communication	communication	NOUN
easat-2687	31	9	in	in	ADP
easat-2687	31	10	the	the	DET
easat-2687	31	11	classroom	classroom	NOUN
easat-2687	31	12	will	will	AUX
easat-2687	31	13	always	always	ADV
easat-2687	31	14	be	be	AUX
easat-2687	31	15	equivalent	equivalent	ADJ
easat-2687	31	16	to	to	ADP
easat-2687	31	17	the	the	DET
easat-2687	31	18	thinking	thinking	NOUN
easat-2687	31	19	process	process	NOUN
easat-2687	31	20	.	.	PUNCT
easat-2687	32	1	https://orcid.org/0000-0002-6915-3668	https://orcid.org/0000-0002-6915-3668	PROPN
easat-2687	32	2	https://orcid.org/0009-0009-3943-0423	https://orcid.org/0009-0009-3943-0423	PROPN
easat-2687	32	3	https://orcid.org/0000-0003-4266-537x	https://orcid.org/0000-0003-4266-537x	VERB
easat-2687	32	4	https://orcid.org/0009-0005-2940-7335	https://orcid.org/0009-0005-2940-7335	NOUN
easat-2687	32	5	3231	3231	NUM
easat-2687	32	6	edelweiss	edelweiss	PROPN
easat-2687	32	7	applied	apply	VERB
easat-2687	32	8	science	science	NOUN
easat-2687	32	9	and	and	CCONJ
easat-2687	32	10	technology	technology	NOUN
easat-2687	32	11	issn	issn	PROPN
easat-2687	32	12	:	:	PUNCT
easat-2687	32	13	2576	2576	NUM
easat-2687	32	14	-	-	SYM
easat-2687	32	15	8484	8484	NUM
easat-2687	32	16	vol	vol	NOUN
easat-2687	32	17	.	.	PROPN
easat-2687	32	18	8	8	NUM
easat-2687	32	19	,	,	PUNCT
easat-2687	32	20	no	no	INTJ
easat-2687	32	21	.	.	NOUN
easat-2687	33	1	6	6	NUM
easat-2687	33	2	:	:	SYM
easat-2687	33	3	3230	3230	NUM
easat-2687	33	4	-	-	SYM
easat-2687	33	5	3247	3247	NUM
easat-2687	33	6	,	,	PUNCT
easat-2687	33	7	2024	2024	NUM
easat-2687	33	8	doi	doi	NOUN
easat-2687	33	9	:	:	PUNCT
easat-2687	33	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	33	11	©	©	NOUN
easat-2687	33	12	2024	2024	NUM
easat-2687	33	13	by	by	ADP
easat-2687	33	14	the	the	DET
easat-2687	33	15	authors	author	NOUN
easat-2687	33	16	;	;	PUNCT
easat-2687	33	17	licensee	licensee	PROPN
easat-2687	33	18	learning	learning	NOUN
easat-2687	33	19	gate	gate	VERB
easat-2687	33	20	several	several	ADJ
easat-2687	33	21	previous	previous	ADJ
easat-2687	33	22	studies	study	NOUN
easat-2687	33	23	have	have	AUX
easat-2687	33	24	emphasized	emphasize	VERB
easat-2687	33	25	the	the	DET
easat-2687	33	26	relevance	relevance	NOUN
easat-2687	33	27	of	of	ADP
easat-2687	33	28	the	the	DET
easat-2687	33	29	context	context	NOUN
easat-2687	33	30	in	in	ADP
easat-2687	33	31	which	which	PRON
easat-2687	33	32	learning	learn	VERB
easat-2687	33	33	occurs	occur	VERB
easat-2687	33	34	,	,	PUNCT
easat-2687	33	35	based	base	VERB
easat-2687	33	36	on	on	ADP
easat-2687	33	37	sfard	sfard	PROPN
easat-2687	33	38	’s	’s	PART
easat-2687	33	39	cognitive	cognitive	ADJ
easat-2687	33	40	approach	approach	NOUN
easat-2687	33	41	(	(	PUNCT
easat-2687	33	42	emre	emre	PROPN
easat-2687	33	43	-	-	PUNCT
easat-2687	33	44	akdoğan	akdoğan	PROPN
easat-2687	33	45	,	,	PUNCT
easat-2687	33	46	güçler	güçler	NOUN
easat-2687	33	47	,	,	PUNCT
easat-2687	33	48	&	&	CCONJ
easat-2687	33	49	argün	argün	PROPN
easat-2687	33	50	,	,	PUNCT
easat-2687	33	51	2018	2018	NUM
easat-2687	33	52	;	;	PUNCT
easat-2687	33	53	heyd	heyd	PROPN
easat-2687	33	54	-	-	PUNCT
easat-2687	33	55	metzuyanim	metzuyanim	PROPN
easat-2687	33	56	&	&	CCONJ
easat-2687	33	57	graven	graven	NOUN
easat-2687	33	58	,	,	PUNCT
easat-2687	33	59	2019	2019	NUM
easat-2687	33	60	;	;	PUNCT
easat-2687	33	61	nachlieli	nachlieli	PROPN
easat-2687	33	62	&	&	CCONJ
easat-2687	33	63	tabach	tabach	PROPN
easat-2687	33	64	,	,	PUNCT
easat-2687	33	65	2019	2019	NUM
easat-2687	33	66	;	;	PUNCT
easat-2687	33	67	lefrida	lefrida	PROPN
easat-2687	33	68	et	et	PROPN
easat-2687	33	69	al	al	PROPN
easat-2687	33	70	.	.	PROPN
easat-2687	33	71	,	,	PUNCT
easat-2687	33	72	2023	2023	NUM
easat-2687	33	73	;	;	PUNCT
easat-2687	33	74	akçakoca	akçakoca	NOUN
easat-2687	33	75	et	et	PROPN
easat-2687	33	76	al	al	PROPN
easat-2687	33	77	.	.	PROPN
easat-2687	33	78	,	,	PUNCT
easat-2687	33	79	2024	2024	NUM
easat-2687	33	80	)	)	PUNCT
easat-2687	33	81	.	.	PUNCT
easat-2687	34	1	commognitive	commognitive	ADJ
easat-2687	34	2	theory	theory	NOUN
easat-2687	34	3	assumes	assume	VERB
easat-2687	34	4	that	that	SCONJ
easat-2687	34	5	learning	learning	NOUN
easat-2687	34	6	is	be	AUX
easat-2687	34	7	not	not	PART
easat-2687	34	8	a	a	DET
easat-2687	34	9	process	process	NOUN
easat-2687	34	10	where	where	SCONJ
easat-2687	34	11	someone	someone	PRON
easat-2687	34	12	changes	change	VERB
easat-2687	34	13	a	a	DET
easat-2687	34	14	certain	certain	ADJ
easat-2687	34	15	cognitive	cognitive	ADJ
easat-2687	34	16	structure	structure	NOUN
easat-2687	34	17	in	in	ADP
easat-2687	34	18	their	their	PRON
easat-2687	34	19	mind	mind	NOUN
easat-2687	34	20	,	,	PUNCT
easat-2687	34	21	but	but	CCONJ
easat-2687	34	22	rather	rather	ADV
easat-2687	34	23	a	a	DET
easat-2687	34	24	process	process	NOUN
easat-2687	34	25	of	of	ADP
easat-2687	34	26	changing	change	VERB
easat-2687	34	27	participation	participation	NOUN
easat-2687	34	28	routines	routine	NOUN
easat-2687	34	29	within	within	ADP
easat-2687	34	30	a	a	DET
easat-2687	34	31	particular	particular	ADJ
easat-2687	34	32	community	community	NOUN
easat-2687	34	33	(	(	PUNCT
easat-2687	34	34	heyd	heyd	NOUN
easat-2687	34	35	-	-	PUNCT
easat-2687	34	36	metzuyanim	metzuyanim	NOUN
easat-2687	34	37	,	,	PUNCT
easat-2687	34	38	smith	smith	PROPN
easat-2687	34	39	,	,	PUNCT
easat-2687	34	40	bill	bill	PROPN
easat-2687	34	41	&	&	CCONJ
easat-2687	34	42	resnick	resnick	PROPN
easat-2687	34	43	,	,	PUNCT
easat-2687	34	44	2019	2019	NUM
easat-2687	34	45	)	)	PUNCT
easat-2687	34	46	.	.	PUNCT
easat-2687	35	1	consequently	consequently	ADV
easat-2687	35	2	,	,	PUNCT
easat-2687	35	3	discourse	discourse	VERB
easat-2687	35	4	analysis	analysis	NOUN
easat-2687	35	5	in	in	ADP
easat-2687	35	6	the	the	DET
easat-2687	35	7	context	context	NOUN
easat-2687	35	8	of	of	ADP
easat-2687	35	9	classroom	classroom	NOUN
easat-2687	35	10	learning	learning	NOUN
easat-2687	35	11	provides	provide	VERB
easat-2687	35	12	insights	insight	NOUN
easat-2687	35	13	into	into	ADP
easat-2687	35	14	how	how	SCONJ
easat-2687	35	15	learning	learning	NOUN
easat-2687	35	16	occurs	occur	VERB
easat-2687	35	17	.	.	PUNCT
easat-2687	36	1	this	this	PRON
easat-2687	36	2	is	be	AUX
easat-2687	36	3	linked	link	VERB
easat-2687	36	4	to	to	ADP
easat-2687	36	5	nachlieli	nachlieli	NOUN
easat-2687	36	6	and	and	CCONJ
easat-2687	36	7	heydmetzuyanim	heydmetzuyanim	PROPN
easat-2687	36	8	(	(	PUNCT
easat-2687	36	9	2022	2022	NUM
easat-2687	36	10	)	)	PUNCT
easat-2687	36	11	’s	’s	PART
easat-2687	36	12	research	research	NOUN
easat-2687	36	13	which	which	PRON
easat-2687	36	14	explored	explore	VERB
easat-2687	36	15	commognitive	commognitive	ADJ
easat-2687	36	16	conflict	conflict	NOUN
easat-2687	36	17	in	in	ADP
easat-2687	36	18	mathematics	mathematics	PROPN
easat-2687	36	19	education	education	NOUN
easat-2687	36	20	research	research	NOUN
easat-2687	36	21	by	by	ADP
easat-2687	36	22	focusing	focus	VERB
easat-2687	36	23	on	on	ADP
easat-2687	36	24	students	student	NOUN
easat-2687	36	25	'	'	PART
easat-2687	36	26	mathematical	mathematical	ADJ
easat-2687	36	27	discourse	discourse	NOUN
easat-2687	36	28	.	.	PUNCT
easat-2687	37	1	in	in	ADP
easat-2687	37	2	this	this	DET
easat-2687	37	3	research	research	NOUN
easat-2687	37	4	,	,	PUNCT
easat-2687	37	5	a	a	DET
easat-2687	37	6	commognitive	commognitive	ADJ
easat-2687	37	7	perspective	perspective	NOUN
easat-2687	37	8	(	(	PUNCT
easat-2687	37	9	sfard	sfard	NOUN
easat-2687	37	10	,	,	PUNCT
easat-2687	37	11	2020	2020	NUM
easat-2687	37	12	)	)	PUNCT
easat-2687	37	13	was	be	AUX
easat-2687	37	14	applied	apply	VERB
easat-2687	37	15	to	to	PART
easat-2687	37	16	conceptualize	conceptualize	VERB
easat-2687	37	17	mathematics	mathematic	NOUN
easat-2687	37	18	learning	learn	VERB
easat-2687	37	19	as	as	ADP
easat-2687	37	20	a	a	DET
easat-2687	37	21	change	change	NOUN
easat-2687	37	22	in	in	ADP
easat-2687	37	23	a	a	DET
easat-2687	37	24	person	person	NOUN
easat-2687	37	25	’s	’s	PART
easat-2687	37	26	mathematical	mathematical	ADJ
easat-2687	37	27	discourse	discourse	NOUN
easat-2687	37	28	.	.	PUNCT
easat-2687	38	1	incommensurable	incommensurable	ADJ
easat-2687	38	2	discourses	discourse	NOUN
easat-2687	38	3	usually	usually	ADV
easat-2687	38	4	arise	arise	VERB
easat-2687	38	5	when	when	SCONJ
easat-2687	38	6	inconsistent	inconsistent	ADJ
easat-2687	38	7	words	word	NOUN
easat-2687	38	8	,	,	PUNCT
easat-2687	38	9	visual	visual	ADJ
easat-2687	38	10	mediators	mediator	NOUN
easat-2687	38	11	,	,	PUNCT
easat-2687	38	12	or	or	CCONJ
easat-2687	38	13	routines	routine	NOUN
easat-2687	38	14	are	be	AUX
easat-2687	38	15	used	use	VERB
easat-2687	38	16	in	in	ADP
easat-2687	38	17	communication	communication	NOUN
easat-2687	38	18	.	.	PUNCT
easat-2687	39	1	when	when	SCONJ
easat-2687	39	2	communicating	communicate	VERB
easat-2687	39	3	,	,	PUNCT
easat-2687	39	4	incommensurable	incommensurable	ADJ
easat-2687	39	5	discourse	discourse	NOUN
easat-2687	39	6	can	can	AUX
easat-2687	39	7	lead	lead	VERB
easat-2687	39	8	to	to	ADP
easat-2687	39	9	commognitive	commognitive	ADJ
easat-2687	39	10	conflicts	conflict	NOUN
easat-2687	39	11	between	between	ADP
easat-2687	39	12	one	one	NUM
easat-2687	39	13	or	or	CCONJ
easat-2687	39	14	more	more	ADJ
easat-2687	39	15	interlocutors	interlocutor	NOUN
easat-2687	39	16	.	.	PUNCT
easat-2687	40	1	hence	hence	ADV
easat-2687	40	2	,	,	PUNCT
easat-2687	40	3	it	it	PRON
easat-2687	40	4	can	can	AUX
easat-2687	40	5	be	be	AUX
easat-2687	40	6	said	say	VERB
easat-2687	40	7	that	that	SCONJ
easat-2687	40	8	commognitive	commognitive	ADJ
easat-2687	40	9	conflict	conflict	NOUN
easat-2687	40	10	is	be	AUX
easat-2687	40	11	a	a	DET
easat-2687	40	12	situation	situation	NOUN
easat-2687	40	13	where	where	SCONJ
easat-2687	40	14	participants	participant	NOUN
easat-2687	40	15	use	use	VERB
easat-2687	40	16	the	the	DET
easat-2687	40	17	same	same	ADJ
easat-2687	40	18	words	word	NOUN
easat-2687	40	19	in	in	ADP
easat-2687	40	20	different	different	ADJ
easat-2687	40	21	ways	way	NOUN
easat-2687	40	22	(	(	PUNCT
easat-2687	40	23	sfard	sfard	NOUN
easat-2687	40	24	,	,	PUNCT
easat-2687	40	25	2007	2007	NUM
easat-2687	40	26	;	;	PUNCT
easat-2687	40	27	ben	ben	PROPN
easat-2687	40	28	zvi	zvi	PROPN
easat-2687	40	29	&	&	CCONJ
easat-2687	40	30	sfard	sfard	NOUN
easat-2687	40	31	,	,	PUNCT
easat-2687	40	32	2007	2007	NUM
easat-2687	40	33	)	)	PUNCT
easat-2687	40	34	.	.	PUNCT
easat-2687	41	1	2	2	NUM
easat-2687	41	2	literature	literature	NOUN
easat-2687	41	3	review	review	NOUN
easat-2687	41	4	2.1	2.1	NUM
easat-2687	41	5	.	.	PUNCT
easat-2687	42	1	mathematics	mathematic	NOUN
easat-2687	42	2	is	be	AUX
easat-2687	42	3	a	a	DET
easat-2687	42	4	discourse	discourse	NOUN
easat-2687	42	5	given	give	VERB
easat-2687	42	6	that	that	DET
easat-2687	42	7	communication	communication	NOUN
easat-2687	42	8	is	be	AUX
easat-2687	42	9	inherently	inherently	ADV
easat-2687	42	10	collective	collective	ADJ
easat-2687	42	11	,	,	PUNCT
easat-2687	42	12	the	the	DET
easat-2687	42	13	term	term	NOUN
easat-2687	42	14	individual	individual	NOUN
easat-2687	42	15	or	or	CCONJ
easat-2687	42	16	personal	personal	ADJ
easat-2687	42	17	discourse	discourse	NOUN
easat-2687	42	18	may	may	AUX
easat-2687	42	19	seem	seem	VERB
easat-2687	42	20	like	like	ADP
easat-2687	42	21	an	an	DET
easat-2687	42	22	oxymoron	oxymoron	NOUN
easat-2687	42	23	.	.	PUNCT
easat-2687	43	1	thought	thought	NOUN
easat-2687	43	2	has	have	AUX
easat-2687	43	3	been	be	AUX
easat-2687	43	4	defined	define	VERB
easat-2687	43	5	as	as	ADP
easat-2687	43	6	self	self	NOUN
easat-2687	43	7	-	-	PUNCT
easat-2687	43	8	communication	communication	NOUN
easat-2687	43	9	.	.	PUNCT
easat-2687	44	1	indeed	indeed	ADV
easat-2687	44	2	,	,	PUNCT
easat-2687	44	3	personal	personal	ADJ
easat-2687	44	4	discourse	discourse	NOUN
easat-2687	44	5	,	,	PUNCT
easat-2687	44	6	mostly	mostly	ADV
easat-2687	44	7	internal	internal	ADJ
easat-2687	44	8	and	and	CCONJ
easat-2687	44	9	silent	silent	ADJ
easat-2687	44	10	,	,	PUNCT
easat-2687	44	11	is	be	AUX
easat-2687	44	12	largely	largely	ADV
easat-2687	44	13	beyond	beyond	ADP
easat-2687	44	14	direct	direct	ADJ
easat-2687	44	15	investigation	investigation	NOUN
easat-2687	44	16	.	.	PUNCT
easat-2687	45	1	in	in	ADP
easat-2687	45	2	fact	fact	NOUN
easat-2687	45	3	,	,	PUNCT
easat-2687	45	4	not	not	PART
easat-2687	45	5	all	all	DET
easat-2687	45	6	participants	participant	NOUN
easat-2687	45	7	in	in	ADP
easat-2687	45	8	a	a	DET
easat-2687	45	9	mathematical	mathematical	ADJ
easat-2687	45	10	conversation	conversation	NOUN
easat-2687	45	11	group	group	NOUN
easat-2687	45	12	are	be	AUX
easat-2687	45	13	capable	capable	ADJ
easat-2687	45	14	of	of	ADP
easat-2687	45	15	doing	do	VERB
easat-2687	45	16	self	self	NOUN
easat-2687	45	17	-	-	PUNCT
easat-2687	45	18	communication	communication	NOUN
easat-2687	45	19	mathematically	mathematically	ADV
easat-2687	45	20	.	.	PUNCT
easat-2687	46	1	mathematics	mathematic	NOUN
easat-2687	46	2	can	can	AUX
easat-2687	46	3	be	be	AUX
easat-2687	46	4	described	describe	VERB
easat-2687	46	5	as	as	ADP
easat-2687	46	6	discourse	discourse	NOUN
easat-2687	46	7	about	about	ADP
easat-2687	46	8	mathematical	mathematical	ADJ
easat-2687	46	9	objects	object	NOUN
easat-2687	46	10	,	,	PUNCT
easat-2687	46	11	such	such	ADJ
easat-2687	46	12	as	as	ADP
easat-2687	46	13	numbers	number	NOUN
easat-2687	46	14	,	,	PUNCT
easat-2687	46	15	functions	function	NOUN
easat-2687	46	16	,	,	PUNCT
easat-2687	46	17	sets	set	NOUN
easat-2687	46	18	,	,	PUNCT
easat-2687	46	19	and	and	CCONJ
easat-2687	46	20	geometric	geometric	ADJ
easat-2687	46	21	shapes	shape	NOUN
easat-2687	46	22	.	.	PUNCT
easat-2687	47	1	a	a	DET
easat-2687	47	2	specific	specific	ADJ
easat-2687	47	3	form	form	NOUN
easat-2687	47	4	of	of	ADP
easat-2687	47	5	communication	communication	NOUN
easat-2687	47	6	must	must	AUX
easat-2687	47	7	be	be	AUX
easat-2687	47	8	used	use	VERB
easat-2687	47	9	to	to	PART
easat-2687	47	10	ensure	ensure	VERB
easat-2687	47	11	that	that	SCONJ
easat-2687	47	12	the	the	DET
easat-2687	47	13	mathematical	mathematical	ADJ
easat-2687	47	14	narratives	narrative	NOUN
easat-2687	47	15	produced	produce	VERB
easat-2687	47	16	are	be	AUX
easat-2687	47	17	reliable	reliable	ADJ
easat-2687	47	18	and	and	CCONJ
easat-2687	47	19	unambiguous	unambiguous	ADJ
easat-2687	47	20	.	.	PUNCT
easat-2687	48	1	thus	thus	ADV
easat-2687	48	2	,	,	PUNCT
easat-2687	48	3	mathematical	mathematical	ADJ
easat-2687	48	4	activity	activity	NOUN
easat-2687	48	5	can	can	AUX
easat-2687	48	6	be	be	AUX
easat-2687	48	7	seen	see	VERB
easat-2687	48	8	as	as	ADP
easat-2687	48	9	a	a	DET
easat-2687	48	10	practice	practice	NOUN
easat-2687	48	11	of	of	ADP
easat-2687	48	12	a	a	DET
easat-2687	48	13	certain	certain	ADJ
easat-2687	48	14	form	form	NOUN
easat-2687	48	15	of	of	ADP
easat-2687	48	16	communication	communication	NOUN
easat-2687	48	17	,	,	PUNCT
easat-2687	48	18	namely	namely	ADV
easat-2687	48	19	discourse	discourse	NOUN
easat-2687	48	20	.	.	PUNCT
easat-2687	49	1	specifically	specifically	ADV
easat-2687	49	2	,	,	PUNCT
easat-2687	49	3	the	the	DET
easat-2687	49	4	elements	element	NOUN
easat-2687	49	5	of	of	ADP
easat-2687	49	6	discourse	discourse	NOUN
easat-2687	49	7	include	include	VERB
easat-2687	49	8	:	:	PUNCT
easat-2687	49	9	1	1	X
easat-2687	49	10	)	)	PUNCT
easat-2687	49	11	keywords	keyword	NOUN
easat-2687	49	12	in	in	ADP
easat-2687	49	13	mathematical	mathematical	ADJ
easat-2687	49	14	discourse	discourse	NOUN
easat-2687	49	15	;	;	PUNCT
easat-2687	49	16	they	they	PRON
easat-2687	49	17	primarily	primarily	ADV
easat-2687	49	18	express	express	VERB
easat-2687	49	19	quantity	quantity	NOUN
easat-2687	49	20	and	and	CCONJ
easat-2687	49	21	form	form	NOUN
easat-2687	49	22	(	(	PUNCT
easat-2687	49	23	numbers	number	NOUN
easat-2687	49	24	,	,	PUNCT
easat-2687	49	25	geometric	geometric	ADJ
easat-2687	49	26	objects	object	NOUN
easat-2687	49	27	)	)	PUNCT
easat-2687	49	28	,	,	PUNCT
easat-2687	49	29	as	as	ADV
easat-2687	49	30	well	well	ADV
easat-2687	49	31	as	as	ADP
easat-2687	49	32	relationships	relationship	NOUN
easat-2687	49	33	between	between	ADP
easat-2687	49	34	them	they	PRON
easat-2687	49	35	(	(	PUNCT
easat-2687	49	36	equality	equality	NOUN
easat-2687	49	37	,	,	PUNCT
easat-2687	49	38	inequality	inequality	NOUN
easat-2687	49	39	,	,	PUNCT
easat-2687	49	40	similarity	similarity	NOUN
easat-2687	49	41	,	,	PUNCT
easat-2687	49	42	equivalence	equivalence	NOUN
easat-2687	49	43	,	,	PUNCT
easat-2687	49	44	etc	etc	X
easat-2687	49	45	.	.	X
easat-2687	49	46	)	)	PUNCT
easat-2687	49	47	.	.	PUNCT
easat-2687	50	1	a	a	DET
easat-2687	50	2	symbolic	symbolic	ADJ
easat-2687	50	3	system	system	NOUN
easat-2687	50	4	consists	consist	VERB
easat-2687	50	5	of	of	ADP
easat-2687	50	6	vocabulary	vocabulary	NOUN
easat-2687	50	7	,	,	PUNCT
easat-2687	50	8	a	a	DET
easat-2687	50	9	set	set	NOUN
easat-2687	50	10	of	of	ADP
easat-2687	50	11	basic	basic	ADJ
easat-2687	50	12	signs	sign	NOUN
easat-2687	50	13	called	call	VERB
easat-2687	50	14	words	word	NOUN
easat-2687	50	15	,	,	PUNCT
easat-2687	50	16	and	and	CCONJ
easat-2687	50	17	syntax	syntax	NOUN
easat-2687	50	18	,	,	PUNCT
easat-2687	50	19	a	a	DET
easat-2687	50	20	set	set	NOUN
easat-2687	50	21	of	of	ADP
easat-2687	50	22	rules	rule	NOUN
easat-2687	50	23	for	for	ADP
easat-2687	50	24	combining	combine	VERB
easat-2687	50	25	vocabulary	vocabulary	ADJ
easat-2687	50	26	elements	element	NOUN
easat-2687	50	27	into	into	ADP
easat-2687	50	28	meaningful	meaningful	ADJ
easat-2687	50	29	(	(	PUNCT
easat-2687	50	30	or	or	CCONJ
easat-2687	50	31	valid	valid	ADJ
easat-2687	50	32	)	)	PUNCT
easat-2687	50	33	utterances	utterance	NOUN
easat-2687	50	34	.	.	PUNCT
easat-2687	51	1	2	2	X
easat-2687	51	2	)	)	PUNCT
easat-2687	51	3	visual	visual	ADJ
easat-2687	51	4	mediators	mediator	NOUN
easat-2687	51	5	;	;	PUNCT
easat-2687	51	6	they	they	PRON
easat-2687	51	7	are	be	AUX
easat-2687	51	8	defined	define	VERB
easat-2687	51	9	as	as	ADP
easat-2687	51	10	visible	visible	ADJ
easat-2687	51	11	means	mean	NOUN
easat-2687	51	12	that	that	SCONJ
easat-2687	51	13	support	support	VERB
easat-2687	51	14	communication	communication	NOUN
easat-2687	51	15	,	,	PUNCT
easat-2687	51	16	such	such	ADJ
easat-2687	51	17	as	as	ADP
easat-2687	51	18	written	write	VERB
easat-2687	51	19	words	word	NOUN
easat-2687	51	20	,	,	PUNCT
easat-2687	51	21	symbols	symbol	NOUN
easat-2687	51	22	,	,	PUNCT
easat-2687	51	23	and	and	CCONJ
easat-2687	51	24	graphs	graph	NOUN
easat-2687	51	25	.	.	PUNCT
easat-2687	52	1	moreover	moreover	ADV
easat-2687	52	2	,	,	PUNCT
easat-2687	52	3	literacy	literacy	NOUN
easat-2687	52	4	in	in	ADP
easat-2687	52	5	discourse	discourse	NOUN
easat-2687	52	6	is	be	AUX
easat-2687	52	7	defined	define	VERB
easat-2687	52	8	as	as	ADP
easat-2687	52	9	visual	visual	ADJ
easat-2687	52	10	media	medium	NOUN
easat-2687	52	11	,	,	PUNCT
easat-2687	52	12	primarily	primarily	ADV
easat-2687	52	13	through	through	ADP
easat-2687	52	14	symbolic	symbolic	ADJ
easat-2687	52	15	artifacts	artifact	NOUN
easat-2687	52	16	.	.	PUNCT
easat-2687	53	1	in	in	ADP
easat-2687	53	2	addition	addition	NOUN
easat-2687	53	3	to	to	ADP
easat-2687	53	4	algebraic	algebraic	ADJ
easat-2687	53	5	symbols	symbol	NOUN
easat-2687	53	6	,	,	PUNCT
easat-2687	53	7	symbolic	symbolic	ADJ
easat-2687	53	8	artifacts	artifact	NOUN
easat-2687	53	9	also	also	ADV
easat-2687	53	10	include	include	VERB
easat-2687	53	11	icons	icon	NOUN
easat-2687	53	12	,	,	PUNCT
easat-2687	53	13	such	such	ADJ
easat-2687	53	14	as	as	ADP
easat-2687	53	15	diagrams	diagram	NOUN
easat-2687	53	16	,	,	PUNCT
easat-2687	53	17	graphs	graph	NOUN
easat-2687	53	18	,	,	PUNCT
easat-2687	53	19	and	and	CCONJ
easat-2687	53	20	other	other	ADJ
easat-2687	53	21	images	image	NOUN
easat-2687	53	22	.	.	PUNCT
easat-2687	54	1	visual	visual	ADJ
easat-2687	54	2	mediation	mediation	NOUN
easat-2687	54	3	involves	involve	VERB
easat-2687	54	4	the	the	DET
easat-2687	54	5	entire	entire	ADJ
easat-2687	54	6	series	series	NOUN
easat-2687	54	7	of	of	ADP
easat-2687	54	8	written	write	VERB
easat-2687	54	9	symbols	symbol	NOUN
easat-2687	54	10	,	,	PUNCT
easat-2687	54	11	such	such	ADJ
easat-2687	54	12	as	as	ADP
easat-2687	54	13	numbers	number	NOUN
easat-2687	54	14	,	,	PUNCT
easat-2687	54	15	tables	table	NOUN
easat-2687	54	16	,	,	PUNCT
easat-2687	54	17	algebraic	algebraic	ADJ
easat-2687	54	18	formulas	formula	NOUN
easat-2687	54	19	,	,	PUNCT
easat-2687	54	20	and	and	CCONJ
easat-2687	54	21	even	even	ADV
easat-2687	54	22	lines	line	NOUN
easat-2687	54	23	(	(	PUNCT
easat-2687	54	24	imaginary	imaginary	ADJ
easat-2687	54	25	)	)	PUNCT
easat-2687	54	26	.	.	PUNCT
easat-2687	55	1	3	3	X
easat-2687	55	2	)	)	PUNCT
easat-2687	55	3	written	write	VERB
easat-2687	55	4	or	or	CCONJ
easat-2687	55	5	spoken	spoken	ADJ
easat-2687	55	6	texts	text	NOUN
easat-2687	55	7	;	;	PUNCT
easat-2687	55	8	the	the	DET
easat-2687	55	9	written	write	VERB
easat-2687	55	10	or	or	CCONJ
easat-2687	55	11	spoken	spoken	ADJ
easat-2687	55	12	texts	text	NOUN
easat-2687	55	13	"	"	PUNCT
easat-2687	55	14	framed	frame	VERB
easat-2687	55	15	as	as	ADP
easat-2687	55	16	descriptions	description	NOUN
easat-2687	55	17	of	of	ADP
easat-2687	55	18	objects	object	NOUN
easat-2687	55	19	,	,	PUNCT
easat-2687	55	20	relationships	relationship	NOUN
easat-2687	55	21	between	between	ADP
easat-2687	55	22	objects	object	NOUN
easat-2687	55	23	,	,	PUNCT
easat-2687	55	24	or	or	CCONJ
easat-2687	55	25	processes	process	NOUN
easat-2687	55	26	with	with	ADP
easat-2687	55	27	or	or	CCONJ
easat-2687	55	28	by	by	ADP
easat-2687	55	29	objects	object	NOUN
easat-2687	55	30	"	"	PUNCT
easat-2687	55	31	are	be	AUX
easat-2687	55	32	considered	consider	VERB
easat-2687	55	33	narratives	narrative	NOUN
easat-2687	55	34	;	;	PUNCT
easat-2687	55	35	for	for	ADP
easat-2687	55	36	example	example	NOUN
easat-2687	55	37	,	,	PUNCT
easat-2687	55	38	axioms	axiom	NOUN
easat-2687	55	39	,	,	PUNCT
easat-2687	55	40	definitions	definition	NOUN
easat-2687	55	41	,	,	PUNCT
easat-2687	55	42	and	and	CCONJ
easat-2687	55	43	proofs	proof	NOUN
easat-2687	55	44	are	be	AUX
easat-2687	55	45	examples	example	NOUN
easat-2687	55	46	of	of	ADP
easat-2687	55	47	narratives	narrative	NOUN
easat-2687	55	48	in	in	ADP
easat-2687	55	49	mathematical	mathematical	ADJ
easat-2687	55	50	discourse	discourse	NOUN
easat-2687	55	51	.	.	PUNCT
easat-2687	56	1	endorsed	endorse	VERB
easat-2687	56	2	narratives	narrative	NOUN
easat-2687	56	3	,	,	PUNCT
easat-2687	56	4	as	as	ADP
easat-2687	56	5	potentially	potentially	ADV
easat-2687	56	6	useful	useful	ADJ
easat-2687	56	7	narratives	narrative	NOUN
easat-2687	56	8	,	,	PUNCT
easat-2687	56	9	are	be	AUX
easat-2687	56	10	produced	produce	VERB
easat-2687	56	11	with	with	ADP
easat-2687	56	12	the	the	DET
easat-2687	56	13	help	help	NOUN
easat-2687	56	14	of	of	ADP
easat-2687	56	15	language	language	NOUN
easat-2687	56	16	,	,	PUNCT
easat-2687	56	17	mediators	mediator	NOUN
easat-2687	56	18	,	,	PUNCT
easat-2687	56	19	and	and	CCONJ
easat-2687	56	20	certain	certain	ADJ
easat-2687	56	21	routines	routine	NOUN
easat-2687	56	22	.	.	PUNCT
easat-2687	57	1	the	the	DET
easat-2687	57	2	elements	element	NOUN
easat-2687	57	3	that	that	PRON
easat-2687	57	4	shape	shape	NOUN
easat-2687	57	5	discourse	discourse	NOUN
easat-2687	57	6	are	be	AUX
easat-2687	57	7	sets	set	NOUN
easat-2687	57	8	of	of	ADP
easat-2687	57	9	routines	routine	NOUN
easat-2687	57	10	with	with	ADP
easat-2687	57	11	recurring	recur	VERB
easat-2687	57	12	forms	form	NOUN
easat-2687	57	13	of	of	ADP
easat-2687	57	14	communicative	communicative	ADJ
easat-2687	57	15	actions	action	NOUN
easat-2687	57	16	.	.	PUNCT
easat-2687	58	1	a	a	DET
easat-2687	58	2	repeated	repeat	VERB
easat-2687	58	3	pattern	pattern	NOUN
easat-2687	58	4	of	of	ADP
easat-2687	58	5	communication	communication	NOUN
easat-2687	58	6	is	be	AUX
easat-2687	58	7	called	call	VERB
easat-2687	58	8	a	a	DET
easat-2687	58	9	routines	routine	NOUN
easat-2687	58	10	.	.	PUNCT
easat-2687	59	1	keywords	keyword	NOUN
easat-2687	59	2	and	and	CCONJ
easat-2687	59	3	visual	visual	ADJ
easat-2687	59	4	mediators	mediator	NOUN
easat-2687	59	5	used	use	VERB
easat-2687	59	6	regularly	regularly	ADV
easat-2687	59	7	in	in	ADP
easat-2687	59	8	narratives	narrative	NOUN
easat-2687	59	9	are	be	AUX
easat-2687	59	10	also	also	ADV
easat-2687	59	11	called	call	VERB
easat-2687	59	12	routines	routine	NOUN
easat-2687	59	13	.	.	PUNCT
easat-2687	60	1	routine	routine	ADJ
easat-2687	60	2	mathematical	mathematical	ADJ
easat-2687	60	3	discourse	discourse	NOUN
easat-2687	60	4	includes	include	VERB
easat-2687	60	5	,	,	PUNCT
easat-2687	60	6	for	for	ADP
easat-2687	60	7	example	example	NOUN
easat-2687	60	8	,	,	PUNCT
easat-2687	60	9	computation	computation	NOUN
easat-2687	60	10	,	,	PUNCT
easat-2687	60	11	problem	problem	NOUN
easat-2687	60	12	solving	solving	NOUN
easat-2687	60	13	and	and	CCONJ
easat-2687	60	14	verification	verification	NOUN
easat-2687	60	15	.	.	PUNCT
easat-2687	61	1	it	it	PRON
easat-2687	61	2	also	also	ADV
easat-2687	61	3	includes	include	VERB
easat-2687	61	4	new	new	ADJ
easat-2687	61	5	narratives	narrative	NOUN
easat-2687	61	6	that	that	PRON
easat-2687	61	7	are	be	AUX
easat-2687	61	8	proved	prove	VERB
easat-2687	61	9	(	(	PUNCT
easat-2687	61	10	sfard	sfard	NOUN
easat-2687	61	11	,	,	PUNCT
easat-2687	61	12	2008	2008	NUM
easat-2687	61	13	,	,	PUNCT
easat-2687	61	14	2020	2020	NUM
easat-2687	61	15	)	)	PUNCT
easat-2687	61	16	.	.	PUNCT
easat-2687	62	1	activities	activity	NOUN
easat-2687	62	2	involving	involve	VERB
easat-2687	62	3	mathematical	mathematical	ADJ
easat-2687	62	4	objects	object	NOUN
easat-2687	62	5	and	and	CCONJ
easat-2687	62	6	mathematical	mathematical	ADJ
easat-2687	62	7	narratives	narrative	NOUN
easat-2687	62	8	are	be	AUX
easat-2687	62	9	discourse	discourse	NOUN
easat-2687	62	10	routines	routine	NOUN
easat-2687	62	11	(	(	PUNCT
easat-2687	62	12	sfard	sfard	NOUN
easat-2687	62	13	,	,	PUNCT
easat-2687	62	14	2020	2020	NUM
easat-2687	62	15	)	)	PUNCT
easat-2687	62	16	.	.	PUNCT
easat-2687	63	1	in	in	ADP
easat-2687	63	2	the	the	DET
easat-2687	63	3	mathematics	mathematic	NOUN
easat-2687	63	4	classroom	classroom	NOUN
easat-2687	63	5	,	,	PUNCT
easat-2687	63	6	students	student	NOUN
easat-2687	63	7	'	'	PART
easat-2687	63	8	task	task	NOUN
easat-2687	63	9	is	be	AUX
easat-2687	63	10	to	to	PART
easat-2687	63	11	individualize	individualize	VERB
easat-2687	63	12	a	a	DET
easat-2687	63	13	discourse	discourse	NOUN
easat-2687	63	14	that	that	SCONJ
easat-2687	63	15	historically	historically	ADV
easat-2687	63	16	known	know	VERB
easat-2687	63	17	as	as	ADP
easat-2687	63	18	mathematical	mathematical	ADJ
easat-2687	63	19	discourse	discourse	NOUN
easat-2687	63	20	.	.	PUNCT
easat-2687	64	1	the	the	DET
easat-2687	64	2	term	term	NOUN
easat-2687	64	3	individualizing	individualize	VERB
easat-2687	64	4	mathematics	mathematic	NOUN
easat-2687	64	5	means	mean	VERB
easat-2687	64	6	being	be	AUX
easat-2687	64	7	able	able	ADJ
easat-2687	64	8	to	to	PART
easat-2687	64	9	participate	participate	VERB
easat-2687	64	10	competently	competently	ADV
easat-2687	64	11	in	in	ADP
easat-2687	64	12	this	this	DET
easat-2687	64	13	discourse	discourse	NOUN
easat-2687	64	14	,	,	PUNCT
easat-2687	64	15	not	not	PART
easat-2687	64	16	only	only	ADV
easat-2687	64	17	when	when	SCONJ
easat-2687	64	18	talking	talk	VERB
easat-2687	64	19	with	with	ADP
easat-2687	64	20	others	other	NOUN
easat-2687	64	21	but	but	CCONJ
easat-2687	64	22	also	also	ADV
easat-2687	64	23	when	when	SCONJ
easat-2687	64	24	communicating	communicate	VERB
easat-2687	64	25	with	with	ADP
easat-2687	64	26	oneself	oneself	PRON
easat-2687	64	27	.	.	PUNCT
easat-2687	65	1	commognitive	commognitive	ADJ
easat-2687	65	2	theory	theory	NOUN
easat-2687	65	3	assumes	assume	VERB
easat-2687	65	4	that	that	SCONJ
easat-2687	65	5	learning	learning	NOUN
easat-2687	65	6	is	be	AUX
easat-2687	65	7	not	not	PART
easat-2687	65	8	a	a	DET
easat-2687	65	9	process	process	NOUN
easat-2687	65	10	where	where	SCONJ
easat-2687	65	11	3232	3232	NUM
easat-2687	65	12	edelweiss	edelweiss	PROPN
easat-2687	65	13	applied	apply	VERB
easat-2687	65	14	science	science	NOUN
easat-2687	65	15	and	and	CCONJ
easat-2687	65	16	technology	technology	NOUN
easat-2687	65	17	issn	issn	PROPN
easat-2687	65	18	:	:	PUNCT
easat-2687	65	19	2576	2576	NUM
easat-2687	65	20	-	-	SYM
easat-2687	65	21	8484	8484	NUM
easat-2687	65	22	vol	vol	NOUN
easat-2687	65	23	.	.	PROPN
easat-2687	65	24	8	8	NUM
easat-2687	65	25	,	,	PUNCT
easat-2687	65	26	no	no	INTJ
easat-2687	65	27	.	.	NOUN
easat-2687	65	28	6	6	NUM
easat-2687	65	29	:	:	SYM
easat-2687	65	30	3230	3230	NUM
easat-2687	65	31	-	-	SYM
easat-2687	65	32	3247	3247	NUM
easat-2687	65	33	,	,	PUNCT
easat-2687	65	34	2024	2024	NUM
easat-2687	65	35	doi	doi	NOUN
easat-2687	65	36	:	:	PUNCT
easat-2687	65	37	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	65	38	©	©	NOUN
easat-2687	65	39	2024	2024	NUM
easat-2687	65	40	by	by	ADP
easat-2687	65	41	the	the	DET
easat-2687	65	42	authors	author	NOUN
easat-2687	65	43	;	;	PUNCT
easat-2687	65	44	licensee	licensee	PROPN
easat-2687	65	45	learning	learning	NOUN
easat-2687	65	46	gate	gate	NOUN
easat-2687	65	47	someone	someone	PRON
easat-2687	65	48	changes	change	VERB
easat-2687	65	49	a	a	DET
easat-2687	65	50	particular	particular	ADJ
easat-2687	65	51	cognitive	cognitive	ADJ
easat-2687	65	52	structure	structure	NOUN
easat-2687	65	53	in	in	ADP
easat-2687	65	54	their	their	PRON
easat-2687	65	55	mind	mind	NOUN
easat-2687	65	56	,	,	PUNCT
easat-2687	65	57	but	but	CCONJ
easat-2687	65	58	rather	rather	ADV
easat-2687	65	59	a	a	DET
easat-2687	65	60	process	process	NOUN
easat-2687	65	61	of	of	ADP
easat-2687	65	62	changing	change	VERB
easat-2687	65	63	participation	participation	NOUN
easat-2687	65	64	routines	routine	NOUN
easat-2687	65	65	within	within	ADP
easat-2687	65	66	a	a	DET
easat-2687	65	67	particular	particular	ADJ
easat-2687	65	68	community	community	NOUN
easat-2687	65	69	(	(	PUNCT
easat-2687	65	70	heyd	heyd	NOUN
easat-2687	65	71	-	-	PUNCT
easat-2687	65	72	metzuyanim	metzuyanim	NOUN
easat-2687	65	73	et	et	PROPN
easat-2687	65	74	al	al	PROPN
easat-2687	65	75	.	.	PROPN
easat-2687	65	76	,	,	PUNCT
easat-2687	65	77	2019	2019	NUM
easat-2687	65	78	)	)	PUNCT
easat-2687	65	79	.	.	PUNCT
easat-2687	66	1	2.2	2.2	NUM
easat-2687	66	2	.	.	PUNCT
easat-2687	67	1	commognitive	commognitive	ADJ
easat-2687	67	2	conflict	conflict	NOUN
easat-2687	67	3	as	as	ADP
easat-2687	67	4	a	a	DET
easat-2687	67	5	stimulus	stimulus	NOUN
easat-2687	67	6	for	for	ADP
easat-2687	67	7	meta	meta	ADJ
easat-2687	67	8	-	-	PUNCT
easat-2687	67	9	level	level	NOUN
easat-2687	67	10	learning	learning	NOUN
easat-2687	67	11	if	if	SCONJ
easat-2687	67	12	learning	learn	VERB
easat-2687	67	13	mathematics	mathematics	PROPN
easat-2687	67	14	is	be	AUX
easat-2687	67	15	a	a	DET
easat-2687	67	16	change	change	NOUN
easat-2687	67	17	in	in	ADP
easat-2687	67	18	discourse	discourse	NOUN
easat-2687	67	19	,	,	PUNCT
easat-2687	67	20	then	then	ADV
easat-2687	67	21	we	we	PRON
easat-2687	67	22	can	can	AUX
easat-2687	67	23	distinguish	distinguish	VERB
easat-2687	67	24	between	between	ADP
easat-2687	67	25	two	two	NUM
easat-2687	67	26	types	type	NOUN
easat-2687	67	27	of	of	ADP
easat-2687	67	28	learning	learning	NOUN
easat-2687	67	29	:	:	PUNCT
easat-2687	67	30	object	object	NOUN
easat-2687	67	31	-	-	PUNCT
easat-2687	67	32	level	level	NOUN
easat-2687	67	33	learning	learning	NOUN
easat-2687	67	34	and	and	CCONJ
easat-2687	67	35	meta	meta	ADJ
easat-2687	67	36	-	-	PUNCT
easat-2687	67	37	level	level	NOUN
easat-2687	67	38	learning	learning	NOUN
easat-2687	67	39	.	.	PUNCT
easat-2687	68	1	first	first	ADV
easat-2687	68	2	,	,	PUNCT
easat-2687	68	3	object	object	NOUN
easat-2687	68	4	-	-	PUNCT
easat-2687	68	5	level	level	NOUN
easat-2687	68	6	learning	learning	NOUN
easat-2687	68	7	,	,	PUNCT
easat-2687	68	8	which	which	PRON
easat-2687	68	9	manifests	manifest	VERB
easat-2687	68	10	itself	itself	PRON
easat-2687	68	11	in	in	ADP
easat-2687	68	12	the	the	DET
easat-2687	68	13	expansion	expansion	NOUN
easat-2687	68	14	of	of	ADP
easat-2687	68	15	existing	exist	VERB
easat-2687	68	16	discourse	discourse	NOUN
easat-2687	68	17	,	,	PUNCT
easat-2687	68	18	can	can	AUX
easat-2687	68	19	be	be	AUX
easat-2687	68	20	achieved	achieve	VERB
easat-2687	68	21	through	through	ADP
easat-2687	68	22	vocabulary	vocabulary	ADJ
easat-2687	68	23	expansion	expansion	NOUN
easat-2687	68	24	,	,	PUNCT
easat-2687	68	25	building	build	VERB
easat-2687	68	26	new	new	ADJ
easat-2687	68	27	routines	routine	NOUN
easat-2687	68	28	,	,	PUNCT
easat-2687	68	29	and	and	CCONJ
easat-2687	68	30	generating	generate	VERB
easat-2687	68	31	endorsed	endorse	VERB
easat-2687	68	32	narratives	narrative	NOUN
easat-2687	68	33	.	.	PUNCT
easat-2687	69	1	second	second	ADJ
easat-2687	69	2	,	,	PUNCT
easat-2687	69	3	meta	meta	ADJ
easat-2687	69	4	-	-	PUNCT
easat-2687	69	5	level	level	NOUN
easat-2687	69	6	learning	learning	NOUN
easat-2687	69	7	,	,	PUNCT
easat-2687	69	8	which	which	PRON
easat-2687	69	9	involves	involve	VERB
easat-2687	69	10	changes	change	NOUN
easat-2687	69	11	in	in	ADP
easat-2687	69	12	the	the	DET
easat-2687	69	13	metarules	metarule	NOUN
easat-2687	69	14	of	of	ADP
easat-2687	69	15	discourse	discourse	NOUN
easat-2687	69	16	,	,	PUNCT
easat-2687	69	17	is	be	AUX
easat-2687	69	18	usually	usually	ADV
easat-2687	69	19	associated	associate	VERB
easat-2687	69	20	with	with	ADP
easat-2687	69	21	exogenous	exogenous	ADJ
easat-2687	69	22	changes	change	NOUN
easat-2687	69	23	in	in	ADP
easat-2687	69	24	discourse	discourse	NOUN
easat-2687	69	25	.	.	PUNCT
easat-2687	70	1	these	these	DET
easat-2687	70	2	changes	change	NOUN
easat-2687	70	3	mean	mean	VERB
easat-2687	70	4	that	that	SCONJ
easat-2687	70	5	some	some	DET
easat-2687	70	6	familiar	familiar	ADJ
easat-2687	70	7	tasks	task	NOUN
easat-2687	70	8	,	,	PUNCT
easat-2687	70	9	such	such	ADJ
easat-2687	70	10	as	as	ADP
easat-2687	70	11	defining	define	VERB
easat-2687	70	12	words	word	NOUN
easat-2687	70	13	or	or	CCONJ
easat-2687	70	14	identifying	identify	VERB
easat-2687	70	15	geometric	geometric	ADJ
easat-2687	70	16	shapes	shape	NOUN
easat-2687	70	17	,	,	PUNCT
easat-2687	70	18	may	may	AUX
easat-2687	70	19	now	now	ADV
easat-2687	70	20	be	be	AUX
easat-2687	70	21	performed	perform	VERB
easat-2687	70	22	differently	differently	ADV
easat-2687	70	23	in	in	ADP
easat-2687	70	24	unfamiliar	unfamiliar	ADJ
easat-2687	70	25	ways	way	NOUN
easat-2687	70	26	.	.	PUNCT
easat-2687	71	1	one	one	NUM
easat-2687	71	2	of	of	ADP
easat-2687	71	3	the	the	DET
easat-2687	71	4	examples	example	NOUN
easat-2687	71	5	of	of	ADP
easat-2687	71	6	these	these	DET
easat-2687	71	7	changes	change	NOUN
easat-2687	71	8	can	can	AUX
easat-2687	71	9	be	be	AUX
easat-2687	71	10	seen	see	VERB
easat-2687	71	11	when	when	SCONJ
easat-2687	71	12	certain	certain	ADJ
easat-2687	71	13	familiar	familiar	ADJ
easat-2687	71	14	words	word	NOUN
easat-2687	71	15	may	may	AUX
easat-2687	71	16	change	change	VERB
easat-2687	71	17	in	in	ADP
easat-2687	71	18	how	how	SCONJ
easat-2687	71	19	they	they	PRON
easat-2687	71	20	are	be	AUX
easat-2687	71	21	read	read	VERB
easat-2687	71	22	or	or	CCONJ
easat-2687	71	23	used	use	VERB
easat-2687	71	24	.	.	PUNCT
easat-2687	72	1	meta	meta	ADJ
easat-2687	72	2	-	-	PUNCT
easat-2687	72	3	level	level	NOUN
easat-2687	72	4	learning	learning	NOUN
easat-2687	72	5	is	be	AUX
easat-2687	72	6	most	most	ADV
easat-2687	72	7	likely	likely	ADJ
easat-2687	72	8	to	to	PART
easat-2687	72	9	occur	occur	VERB
easat-2687	72	10	from	from	ADP
easat-2687	72	11	direct	direct	ADJ
easat-2687	72	12	encounters	encounter	NOUN
easat-2687	72	13	between	between	ADP
easat-2687	72	14	students	student	NOUN
easat-2687	72	15	and	and	CCONJ
easat-2687	72	16	new	new	ADJ
easat-2687	72	17	discourse	discourse	NOUN
easat-2687	72	18	.	.	PUNCT
easat-2687	73	1	since	since	SCONJ
easat-2687	73	2	this	this	DET
easat-2687	73	3	new	new	ADJ
easat-2687	73	4	discourse	discourse	NOUN
easat-2687	73	5	is	be	AUX
easat-2687	73	6	governed	govern	VERB
easat-2687	73	7	by	by	ADP
easat-2687	73	8	different	different	ADJ
easat-2687	73	9	metarules	metarule	NOUN
easat-2687	73	10	from	from	ADP
easat-2687	73	11	the	the	DET
easat-2687	73	12	discourse	discourse	NOUN
easat-2687	73	13	that	that	SCONJ
easat-2687	73	14	students	student	NOUN
easat-2687	73	15	are	be	AUX
easat-2687	73	16	previously	previously	ADV
easat-2687	73	17	familiar	familiar	ADJ
easat-2687	73	18	with	with	ADP
easat-2687	73	19	,	,	PUNCT
easat-2687	73	20	it	it	PRON
easat-2687	73	21	requires	require	VERB
easat-2687	73	22	a	a	DET
easat-2687	73	23	commognitive	commognitive	ADJ
easat-2687	73	24	conflict	conflict	NOUN
easat-2687	73	25	,	,	PUNCT
easat-2687	73	26	a	a	DET
easat-2687	73	27	situation	situation	NOUN
easat-2687	73	28	where	where	SCONJ
easat-2687	73	29	different	different	ADJ
easat-2687	73	30	discourses	discourse	NOUN
easat-2687	73	31	act	act	VERB
easat-2687	73	32	according	accord	VERB
easat-2687	73	33	to	to	ADP
easat-2687	73	34	different	different	ADJ
easat-2687	73	35	metarules	metarule	NOUN
easat-2687	73	36	.	.	PUNCT
easat-2687	74	1	the	the	DET
easat-2687	74	2	idea	idea	NOUN
easat-2687	74	3	of	of	ADP
easat-2687	74	4	commognitive	commognitive	ADJ
easat-2687	74	5	conflict	conflict	NOUN
easat-2687	74	6	differs	differ	VERB
easat-2687	74	7	from	from	ADP
easat-2687	74	8	the	the	DET
easat-2687	74	9	acquisitionist	acquisitionist	ADJ
easat-2687	74	10	notion	notion	NOUN
easat-2687	74	11	of	of	ADP
easat-2687	74	12	cognitive	cognitive	ADJ
easat-2687	74	13	conflict	conflict	NOUN
easat-2687	74	14	.	.	PUNCT
easat-2687	75	1	there	there	PRON
easat-2687	75	2	are	be	VERB
easat-2687	75	3	three	three	NUM
easat-2687	75	4	substantial	substantial	ADJ
easat-2687	75	5	differences	difference	NOUN
easat-2687	75	6	,	,	PUNCT
easat-2687	75	7	as	as	SCONJ
easat-2687	75	8	shown	show	VERB
easat-2687	75	9	in	in	ADP
easat-2687	75	10	table	table	NOUN
easat-2687	75	11	1	1	NUM
easat-2687	75	12	below	below	ADV
easat-2687	75	13	.	.	PUNCT
easat-2687	76	1	table	table	NOUN
easat-2687	76	2	1	1	NUM
easat-2687	76	3	.	.	PUNCT
easat-2687	77	1	concepts	concept	NOUN
easat-2687	77	2	:	:	PUNCT
easat-2687	77	3	cognitive	cognitive	ADJ
easat-2687	77	4	conflict	conflict	NOUN
easat-2687	77	5	and	and	CCONJ
easat-2687	77	6	commognitive	commognitive	ADJ
easat-2687	77	7	conflict	conflict	NOUN
easat-2687	77	8	.	.	PUNCT
easat-2687	78	1	cognitive	cognitive	ADJ
easat-2687	78	2	conflict	conflict	NOUN
easat-2687	78	3	commognitive	commognitive	ADJ
easat-2687	78	4	conflict	conflict	NOUN
easat-2687	78	5	conflict	conflict	NOUN
easat-2687	78	6	happens	happen	VERB
easat-2687	78	7	between	between	ADP
easat-2687	78	8	:	:	PUNCT
easat-2687	78	9	interlocutors	interlocutor	NOUN
easat-2687	78	10	and	and	CCONJ
easat-2687	78	11	the	the	DET
easat-2687	78	12	world	world	NOUN
easat-2687	78	13	incommensurable	incommensurable	ADJ
easat-2687	78	14	discourses	discourse	NOUN
easat-2687	78	15	role	role	NOUN
easat-2687	78	16	in	in	ADP
easat-2687	78	17	learning	learn	VERB
easat-2687	78	18	an	an	DET
easat-2687	78	19	alternative	alternative	NOUN
easat-2687	78	20	to	to	PART
easat-2687	78	21	eliminate	eliminate	VERB
easat-2687	78	22	misunderstanding	misunderstand	VERB
easat-2687	78	23	practically	practically	ADV
easat-2687	78	24	essential	essential	ADJ
easat-2687	78	25	for	for	ADP
easat-2687	78	26	meta	meta	ADJ
easat-2687	78	27	-	-	PUNCT
easat-2687	78	28	level	level	NOUN
easat-2687	78	29	learning	learning	NOUN
easat-2687	78	30	how	how	SCONJ
easat-2687	78	31	is	be	AUX
easat-2687	78	32	it	it	PRON
easat-2687	78	33	resolved	resolve	VERB
easat-2687	78	34	?	?	PUNCT
easat-2687	79	1	by	by	ADP
easat-2687	79	2	students	student	NOUN
easat-2687	79	3	’	'	PUNCT
easat-2687	79	4	rational	rational	ADJ
easat-2687	79	5	efforts	effort	NOUN
easat-2687	79	6	by	by	ADP
easat-2687	79	7	students	student	NOUN
easat-2687	79	8	’	'	PUNCT
easat-2687	79	9	acceptance	acceptance	NOUN
easat-2687	79	10	and	and	CCONJ
easat-2687	79	11	individualization	individualization	NOUN
easat-2687	79	12	of	of	ADP
easat-2687	79	13	the	the	DET
easat-2687	79	14	expert	expert	NOUN
easat-2687	79	15	interlocutor	interlocutor	NOUN
easat-2687	79	16	’s	’s	PART
easat-2687	79	17	discursive	discursive	ADJ
easat-2687	79	18	way	way	NOUN
easat-2687	79	19	source	source	NOUN
easat-2687	79	20	:	:	PUNCT
easat-2687	79	21	sfard	sfard	PROPN
easat-2687	79	22	(	(	PUNCT
easat-2687	79	23	2008	2008	NUM
easat-2687	79	24	)	)	PUNCT
easat-2687	79	25	.	.	PUNCT
easat-2687	80	1	commognitive	commognitive	ADJ
easat-2687	80	2	conflicts	conflict	NOUN
easat-2687	80	3	also	also	ADV
easat-2687	80	4	exist	exist	VERB
easat-2687	80	5	in	in	ADP
easat-2687	80	6	mathematical	mathematical	ADJ
easat-2687	80	7	discovery	discovery	NOUN
easat-2687	80	8	.	.	PUNCT
easat-2687	81	1	the	the	DET
easat-2687	81	2	conflicts	conflict	NOUN
easat-2687	81	3	may	may	AUX
easat-2687	81	4	occur	occur	VERB
easat-2687	81	5	within	within	ADP
easat-2687	81	6	a	a	DET
easat-2687	81	7	person	person	NOUN
easat-2687	81	8	between	between	ADP
easat-2687	81	9	two	two	NUM
easat-2687	81	10	overlapping	overlap	VERB
easat-2687	81	11	discourses	discourse	NOUN
easat-2687	81	12	that	that	PRON
easat-2687	81	13	are	be	AUX
easat-2687	81	14	already	already	ADV
easat-2687	81	15	embedded	embed	VERB
easat-2687	81	16	within	within	ADP
easat-2687	81	17	him	he	PRON
easat-2687	81	18	/	/	SYM
easat-2687	81	19	her	she	PRON
easat-2687	81	20	.	.	PUNCT
easat-2687	82	1	sometimes	sometimes	ADV
easat-2687	82	2	,	,	PUNCT
easat-2687	82	3	during	during	ADP
easat-2687	82	4	the	the	DET
easat-2687	82	5	transition	transition	NOUN
easat-2687	82	6	from	from	ADP
easat-2687	82	7	familiar	familiar	ADJ
easat-2687	82	8	to	to	ADP
easat-2687	82	9	new	new	ADJ
easat-2687	82	10	discourse	discourse	NOUN
easat-2687	82	11	,	,	PUNCT
easat-2687	82	12	a	a	DET
easat-2687	82	13	mathematician	mathematician	NOUN
easat-2687	82	14	may	may	AUX
easat-2687	82	15	endorse	endorse	VERB
easat-2687	82	16	conflicting	conflicting	ADJ
easat-2687	82	17	narratives	narrative	NOUN
easat-2687	82	18	.	.	PUNCT
easat-2687	83	1	one	one	NUM
easat-2687	83	2	of	of	ADP
easat-2687	83	3	famous	famous	ADJ
easat-2687	83	4	cases	case	NOUN
easat-2687	83	5	of	of	ADP
easat-2687	83	6	such	such	ADJ
easat-2687	83	7	inner	inner	ADJ
easat-2687	83	8	conflict	conflict	NOUN
easat-2687	83	9	is	be	AUX
easat-2687	83	10	that	that	PRON
easat-2687	83	11	of	of	ADP
easat-2687	83	12	george	george	PROPN
easat-2687	83	13	cantor	cantor	PROPN
easat-2687	83	14	,	,	PUNCT
easat-2687	83	15	the	the	DET
easat-2687	83	16	inventor	inventor	NOUN
easat-2687	83	17	of	of	ADP
easat-2687	83	18	set	set	NOUN
easat-2687	83	19	theory	theory	NOUN
easat-2687	83	20	,	,	PUNCT
easat-2687	83	21	who	who	PRON
easat-2687	83	22	,	,	PUNCT
easat-2687	83	23	in	in	ADP
easat-2687	83	24	letters	letter	NOUN
easat-2687	83	25	to	to	ADP
easat-2687	83	26	mathematician	mathematician	PROPN
easat-2687	83	27	richard	richard	PROPN
easat-2687	83	28	dedekind	dedekind	PROPN
easat-2687	83	29	,	,	PUNCT
easat-2687	83	30	lamented	lament	VERB
easat-2687	83	31	his	his	PRON
easat-2687	83	32	inability	inability	NOUN
easat-2687	83	33	to	to	PART
easat-2687	83	34	resolve	resolve	VERB
easat-2687	83	35	the	the	DET
easat-2687	83	36	contradiction	contradiction	NOUN
easat-2687	83	37	between	between	ADP
easat-2687	83	38	the	the	DET
easat-2687	83	39	familiar	familiar	ADJ
easat-2687	83	40	"	"	PUNCT
easat-2687	83	41	truth	truth	NOUN
easat-2687	83	42	"	"	PUNCT
easat-2687	83	43	that	that	SCONJ
easat-2687	83	44	a	a	DET
easat-2687	83	45	part	part	NOUN
easat-2687	83	46	was	be	AUX
easat-2687	83	47	smaller	small	ADJ
easat-2687	83	48	than	than	ADP
easat-2687	83	49	the	the	DET
easat-2687	83	50	whole	whole	NOUN
easat-2687	83	51	and	and	CCONJ
easat-2687	83	52	the	the	DET
easat-2687	83	53	conclusion	conclusion	NOUN
easat-2687	83	54	he	he	PRON
easat-2687	83	55	reached	reach	VERB
easat-2687	83	56	from	from	ADP
easat-2687	83	57	his	his	PRON
easat-2687	83	58	new	new	ADJ
easat-2687	83	59	theory	theory	NOUN
easat-2687	83	60	,	,	PUNCT
easat-2687	83	61	which	which	PRON
easat-2687	83	62	stated	state	VERB
easat-2687	83	63	that	that	SCONJ
easat-2687	83	64	a	a	DET
easat-2687	83	65	subset	subset	NOUN
easat-2687	83	66	of	of	ADP
easat-2687	83	67	an	an	DET
easat-2687	83	68	infinite	infinite	ADJ
easat-2687	83	69	set	set	NOUN
easat-2687	83	70	could	could	AUX
easat-2687	83	71	be	be	AUX
easat-2687	83	72	"	"	PUNCT
easat-2687	83	73	as	as	ADV
easat-2687	83	74	big	big	ADJ
easat-2687	83	75	as	as	ADP
easat-2687	83	76	"	"	PUNCT
easat-2687	83	77	the	the	DET
easat-2687	83	78	whole	whole	ADJ
easat-2687	83	79	set	set	NOUN
easat-2687	83	80	(	(	PUNCT
easat-2687	83	81	sfard	sfard	NOUN
easat-2687	83	82	,	,	PUNCT
easat-2687	83	83	2008	2008	NUM
easat-2687	83	84	)	)	PUNCT
easat-2687	83	85	.	.	PUNCT
easat-2687	84	1	another	another	DET
easat-2687	84	2	example	example	NOUN
easat-2687	84	3	,	,	PUNCT
easat-2687	84	4	ioannou	ioannou	NOUN
easat-2687	84	5	(	(	PUNCT
easat-2687	84	6	2016	2016	NUM
easat-2687	84	7	)	)	PUNCT
easat-2687	84	8	,	,	PUNCT
easat-2687	84	9	reported	report	VERB
easat-2687	84	10	commognitive	commognitive	ADJ
easat-2687	84	11	conflicts	conflict	NOUN
easat-2687	84	12	experienced	experience	VERB
easat-2687	84	13	by	by	ADP
easat-2687	84	14	students	student	NOUN
easat-2687	84	15	during	during	ADP
easat-2687	84	16	group	group	NOUN
easat-2687	84	17	theory	theory	NOUN
easat-2687	84	18	exercises	exercise	VERB
easat-2687	84	19	.	.	PUNCT
easat-2687	85	1	as	as	ADP
easat-2687	85	2	a	a	DET
easat-2687	85	3	summary	summary	NOUN
easat-2687	85	4	,	,	PUNCT
easat-2687	85	5	thinking	think	VERB
easat-2687	85	6	,	,	PUNCT
easat-2687	85	7	according	accord	VERB
easat-2687	85	8	to	to	ADP
easat-2687	85	9	the	the	DET
easat-2687	85	10	participatory	participatory	ADJ
easat-2687	85	11	framework	framework	NOUN
easat-2687	85	12	,	,	PUNCT
easat-2687	85	13	is	be	AUX
easat-2687	85	14	conceptualized	conceptualize	VERB
easat-2687	85	15	as	as	ADP
easat-2687	85	16	communicating	communicate	VERB
easat-2687	85	17	with	with	ADP
easat-2687	85	18	oneself	oneself	PRON
easat-2687	85	19	,	,	PUNCT
easat-2687	85	20	either	either	CCONJ
easat-2687	85	21	synchronously	synchronously	ADV
easat-2687	85	22	or	or	CCONJ
easat-2687	85	23	asynchronously	asynchronously	ADJ
easat-2687	85	24	.	.	PUNCT
easat-2687	86	1	communicating	communicate	VERB
easat-2687	86	2	with	with	ADP
easat-2687	86	3	others	other	NOUN
easat-2687	86	4	or	or	CCONJ
easat-2687	86	5	with	with	ADP
easat-2687	86	6	oneself	oneself	PRON
easat-2687	86	7	is	be	AUX
easat-2687	86	8	largely	largely	ADV
easat-2687	86	9	verbal	verbal	ADJ
easat-2687	86	10	,	,	PUNCT
easat-2687	86	11	or	or	CCONJ
easat-2687	86	12	aided	aid	VERB
easat-2687	86	13	by	by	ADP
easat-2687	86	14	other	other	ADJ
easat-2687	86	15	symbolic	symbolic	ADJ
easat-2687	86	16	systems	system	NOUN
easat-2687	86	17	(	(	PUNCT
easat-2687	86	18	sfard	sfard	NOUN
easat-2687	86	19	,	,	PUNCT
easat-2687	86	20	2008	2008	NUM
easat-2687	86	21	)	)	PUNCT
easat-2687	86	22	.	.	PUNCT
easat-2687	87	1	according	accord	VERB
easat-2687	87	2	to	to	ADP
easat-2687	87	3	the	the	DET
easat-2687	87	4	psychology	psychology	NOUN
easat-2687	87	5	of	of	ADP
easat-2687	87	6	communication	communication	NOUN
easat-2687	87	7	about	about	ADP
easat-2687	87	8	human	human	ADJ
easat-2687	87	9	thought	thought	NOUN
easat-2687	87	10	,	,	PUNCT
easat-2687	87	11	language	language	NOUN
easat-2687	87	12	is	be	AUX
easat-2687	87	13	no	no	ADV
easat-2687	87	14	longer	long	ADV
easat-2687	87	15	viewed	view	VERB
easat-2687	87	16	as	as	ADP
easat-2687	87	17	a	a	DET
easat-2687	87	18	window	window	NOUN
easat-2687	87	19	into	into	ADP
easat-2687	87	20	thinking	thinking	NOUN
easat-2687	87	21	but	but	CCONJ
easat-2687	87	22	as	as	ADP
easat-2687	87	23	its	its	PRON
easat-2687	87	24	determinant	determinant	ADJ
easat-2687	87	25	element	element	NOUN
easat-2687	87	26	.	.	PUNCT
easat-2687	88	1	therefore	therefore	ADV
easat-2687	88	2	,	,	PUNCT
easat-2687	88	3	as	as	ADV
easat-2687	88	4	long	long	ADV
easat-2687	88	5	as	as	SCONJ
easat-2687	88	6	thoughts	thought	NOUN
easat-2687	88	7	exist	exist	VERB
easat-2687	88	8	in	in	ADP
easat-2687	88	9	language	language	NOUN
easat-2687	88	10	,	,	PUNCT
easat-2687	88	11	both	both	DET
easat-2687	88	12	thought	thought	NOUN
easat-2687	88	13	and	and	CCONJ
easat-2687	88	14	speech	speech	NOUN
easat-2687	88	15	can	can	AUX
easat-2687	88	16	not	not	PART
easat-2687	88	17	be	be	AUX
easat-2687	88	18	separated	separate	VERB
easat-2687	88	19	.	.	PUNCT
easat-2687	89	1	3	3	X
easat-2687	89	2	.	.	X
easat-2687	89	3	research	research	NOUN
easat-2687	89	4	method	method	NOUN
easat-2687	89	5	3.1	3.1	NUM
easat-2687	89	6	.	.	PUNCT
easat-2687	89	7	type	type	NOUN
easat-2687	89	8	of	of	ADP
easat-2687	89	9	research	research	NOUN
easat-2687	89	10	this	this	DET
easat-2687	89	11	research	research	NOUN
easat-2687	89	12	is	be	AUX
easat-2687	89	13	an	an	DET
easat-2687	89	14	exploratory	exploratory	ADJ
easat-2687	89	15	research	research	NOUN
easat-2687	89	16	which	which	PRON
easat-2687	89	17	applies	apply	VERB
easat-2687	89	18	a	a	DET
easat-2687	89	19	qualitative	qualitative	ADJ
easat-2687	89	20	approach	approach	NOUN
easat-2687	89	21	.	.	PUNCT
easat-2687	90	1	qualitative	qualitative	ADJ
easat-2687	90	2	research	research	NOUN
easat-2687	90	3	has	have	VERB
easat-2687	90	4	four	four	NUM
easat-2687	90	5	characteristics	characteristic	NOUN
easat-2687	90	6	:	:	PUNCT
easat-2687	90	7	(	(	PUNCT
easat-2687	90	8	1	1	X
easat-2687	90	9	)	)	PUNCT
easat-2687	90	10	it	it	PRON
easat-2687	90	11	focuses	focus	VERB
easat-2687	90	12	on	on	ADP
easat-2687	90	13	processes	process	NOUN
easat-2687	90	14	,	,	PUNCT
easat-2687	90	15	understanding	understanding	NOUN
easat-2687	90	16	,	,	PUNCT
easat-2687	90	17	and	and	CCONJ
easat-2687	90	18	meaning	meaning	NOUN
easat-2687	90	19	-	-	PUNCT
easat-2687	90	20	making	making	NOUN
easat-2687	90	21	,	,	PUNCT
easat-2687	90	22	(	(	PUNCT
easat-2687	90	23	2	2	X
easat-2687	90	24	)	)	PUNCT
easat-2687	90	25	the	the	DET
easat-2687	90	26	researcher	researcher	NOUN
easat-2687	90	27	is	be	AUX
easat-2687	90	28	the	the	DET
easat-2687	90	29	main	main	ADJ
easat-2687	90	30	instrument	instrument	NOUN
easat-2687	90	31	in	in	ADP
easat-2687	90	32	data	datum	NOUN
easat-2687	90	33	collection	collection	NOUN
easat-2687	90	34	and	and	CCONJ
easat-2687	90	35	analysis	analysis	NOUN
easat-2687	90	36	,	,	PUNCT
easat-2687	90	37	(	(	PUNCT
easat-2687	90	38	3	3	X
easat-2687	90	39	)	)	PUNCT
easat-2687	90	40	the	the	DET
easat-2687	90	41	research	research	NOUN
easat-2687	90	42	process	process	NOUN
easat-2687	90	43	occurs	occur	VERB
easat-2687	90	44	3233	3233	NUM
easat-2687	90	45	edelweiss	edelweiss	PROPN
easat-2687	90	46	applied	apply	VERB
easat-2687	90	47	science	science	NOUN
easat-2687	90	48	and	and	CCONJ
easat-2687	90	49	technology	technology	NOUN
easat-2687	90	50	issn	issn	PROPN
easat-2687	90	51	:	:	PUNCT
easat-2687	90	52	2576	2576	NUM
easat-2687	90	53	-	-	SYM
easat-2687	90	54	8484	8484	NUM
easat-2687	90	55	vol	vol	NOUN
easat-2687	90	56	.	.	PROPN
easat-2687	90	57	8	8	NUM
easat-2687	90	58	,	,	PUNCT
easat-2687	90	59	no	no	INTJ
easat-2687	90	60	.	.	NOUN
easat-2687	91	1	6	6	NUM
easat-2687	91	2	:	:	SYM
easat-2687	91	3	3230	3230	NUM
easat-2687	91	4	-	-	SYM
easat-2687	91	5	3247	3247	NUM
easat-2687	91	6	,	,	PUNCT
easat-2687	91	7	2024	2024	NUM
easat-2687	91	8	doi	doi	NOUN
easat-2687	91	9	:	:	PUNCT
easat-2687	91	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	91	11	©	©	NOUN
easat-2687	91	12	2024	2024	NUM
easat-2687	91	13	by	by	ADP
easat-2687	91	14	the	the	DET
easat-2687	91	15	authors	author	NOUN
easat-2687	91	16	;	;	PUNCT
easat-2687	91	17	licensee	licensee	PROPN
easat-2687	91	18	learning	learning	NOUN
easat-2687	91	19	gate	gate	NOUN
easat-2687	91	20	inductively	inductively	ADV
easat-2687	91	21	,	,	PUNCT
easat-2687	91	22	and	and	CCONJ
easat-2687	91	23	(	(	PUNCT
easat-2687	91	24	4	4	X
easat-2687	91	25	)	)	PUNCT
easat-2687	91	26	data	datum	NOUN
easat-2687	91	27	presentation	presentation	NOUN
easat-2687	91	28	is	be	AUX
easat-2687	91	29	in	in	ADP
easat-2687	91	30	descriptive	descriptive	ADJ
easat-2687	91	31	form	form	NOUN
easat-2687	91	32	,	,	PUNCT
easat-2687	91	33	consisting	consist	VERB
easat-2687	91	34	of	of	ADP
easat-2687	91	35	words	word	NOUN
easat-2687	91	36	and	and	CCONJ
easat-2687	91	37	images	image	NOUN
easat-2687	91	38	(	(	PUNCT
easat-2687	91	39	merriam	merriam	PROPN
easat-2687	91	40	&	&	CCONJ
easat-2687	91	41	tisdell	tisdell	PROPN
easat-2687	91	42	,	,	PUNCT
easat-2687	91	43	2016	2016	NUM
easat-2687	91	44	)	)	PUNCT
easat-2687	91	45	.	.	PUNCT
easat-2687	92	1	in	in	ADP
easat-2687	92	2	this	this	DET
easat-2687	92	3	research	research	NOUN
easat-2687	92	4	,	,	PUNCT
easat-2687	92	5	the	the	DET
easat-2687	92	6	subjects	subject	NOUN
easat-2687	92	7	were	be	AUX
easat-2687	92	8	selected	select	VERB
easat-2687	92	9	from	from	ADP
easat-2687	92	10	mathematics	mathematics	PROPN
easat-2687	92	11	education	education	NOUN
easat-2687	92	12	undergraduate	undergraduate	NOUN
easat-2687	92	13	students	student	NOUN
easat-2687	92	14	for	for	ADP
easat-2687	92	15	the	the	DET
easat-2687	92	16	2024/2025	2024/2025	NUM
easat-2687	92	17	academic	academic	ADJ
easat-2687	92	18	year	year	NOUN
easat-2687	92	19	.	.	PUNCT
easat-2687	93	1	in	in	ADP
easat-2687	93	2	figure	figure	NOUN
easat-2687	93	3	1	1	NUM
easat-2687	93	4	,	,	PUNCT
easat-2687	93	5	the	the	DET
easat-2687	93	6	absolute	absolute	ADJ
easat-2687	93	7	value	value	NOUN
easat-2687	93	8	inequality	inequality	NOUN
easat-2687	93	9	task	task	NOUN
easat-2687	93	10	was	be	AUX
easat-2687	93	11	given	give	VERB
easat-2687	93	12	to	to	ADP
easat-2687	93	13	78	78	NUM
easat-2687	93	14	undergraduate	undergraduate	ADJ
easat-2687	93	15	students	student	NOUN
easat-2687	93	16	:	:	PUNCT
easat-2687	93	17	50	50	NUM
easat-2687	93	18	second	second	ADJ
easat-2687	93	19	-	-	PUNCT
easat-2687	93	20	year	year	NOUN
easat-2687	93	21	students	student	NOUN
easat-2687	93	22	and	and	CCONJ
easat-2687	93	23	28	28	NUM
easat-2687	93	24	third	third	ADJ
easat-2687	93	25	-	-	PUNCT
easat-2687	93	26	year	year	NOUN
easat-2687	93	27	students	student	NOUN
easat-2687	93	28	.	.	PUNCT
easat-2687	94	1	in	in	ADP
easat-2687	94	2	the	the	DET
easat-2687	94	3	data	data	NOUN
easat-2687	94	4	collection	collection	NOUN
easat-2687	94	5	process	process	NOUN
easat-2687	94	6	,	,	PUNCT
easat-2687	94	7	supporting	support	VERB
easat-2687	94	8	instruments	instrument	NOUN
easat-2687	94	9	used	use	VERB
easat-2687	94	10	to	to	PART
easat-2687	94	11	gather	gather	VERB
easat-2687	94	12	research	research	NOUN
easat-2687	94	13	data	datum	NOUN
easat-2687	94	14	were	be	AUX
easat-2687	94	15	:	:	PUNCT
easat-2687	94	16	(	(	PUNCT
easat-2687	94	17	a	a	X
easat-2687	94	18	)	)	PUNCT
easat-2687	94	19	absolute	absolute	ADJ
easat-2687	94	20	value	value	NOUN
easat-2687	94	21	inequality	inequality	NOUN
easat-2687	94	22	task	task	NOUN
easat-2687	94	23	,	,	PUNCT
easat-2687	94	24	(	(	PUNCT
easat-2687	94	25	b	b	NOUN
easat-2687	94	26	)	)	PUNCT
easat-2687	94	27	interviews	interview	NOUN
easat-2687	94	28	,	,	PUNCT
easat-2687	94	29	and	and	CCONJ
easat-2687	94	30	(	(	PUNCT
easat-2687	94	31	c	c	NOUN
easat-2687	94	32	)	)	PUNCT
easat-2687	94	33	recording	recording	NOUN
easat-2687	94	34	devices	device	NOUN
easat-2687	94	35	.	.	PUNCT
easat-2687	95	1	the	the	DET
easat-2687	95	2	data	datum	NOUN
easat-2687	95	3	analyzed	analyze	VERB
easat-2687	95	4	in	in	ADP
easat-2687	95	5	this	this	DET
easat-2687	95	6	study	study	NOUN
easat-2687	95	7	included	include	VERB
easat-2687	95	8	interview	interview	NOUN
easat-2687	95	9	transcripts	transcript	NOUN
easat-2687	95	10	,	,	PUNCT
easat-2687	95	11	documents	document	NOUN
easat-2687	95	12	,	,	PUNCT
easat-2687	95	13	and	and	CCONJ
easat-2687	95	14	field	field	NOUN
easat-2687	95	15	notes	note	NOUN
easat-2687	95	16	.	.	PUNCT
easat-2687	96	1	data	datum	NOUN
easat-2687	96	2	analysis	analysis	NOUN
easat-2687	96	3	was	be	AUX
easat-2687	96	4	carried	carry	VERB
easat-2687	96	5	out	out	ADP
easat-2687	96	6	using	use	VERB
easat-2687	96	7	the	the	DET
easat-2687	96	8	interactive	interactive	ADJ
easat-2687	96	9	model	model	NOUN
easat-2687	96	10	analysis	analysis	NOUN
easat-2687	96	11	technique	technique	NOUN
easat-2687	96	12	proposed	propose	VERB
easat-2687	96	13	by	by	ADP
easat-2687	96	14	miles	mile	NOUN
easat-2687	96	15	et	et	PROPN
easat-2687	96	16	al	al	PROPN
easat-2687	96	17	.	.	PUNCT
easat-2687	97	1	(	(	PUNCT
easat-2687	97	2	2014	2014	NUM
easat-2687	97	3	)	)	PUNCT
easat-2687	97	4	,	,	PUNCT
easat-2687	97	5	which	which	PRON
easat-2687	97	6	included	include	VERB
easat-2687	97	7	data	datum	NOUN
easat-2687	97	8	condensation	condensation	NOUN
easat-2687	97	9	,	,	PUNCT
easat-2687	97	10	data	datum	NOUN
easat-2687	97	11	display	display	NOUN
easat-2687	97	12	,	,	PUNCT
easat-2687	97	13	and	and	CCONJ
easat-2687	97	14	conclusion	conclusion	NOUN
easat-2687	97	15	drawing	drawing	NOUN
easat-2687	97	16	and	and	CCONJ
easat-2687	97	17	verification	verification	NOUN
easat-2687	97	18	.	.	PUNCT
easat-2687	98	1	the	the	DET
easat-2687	98	2	quality	quality	NOUN
easat-2687	98	3	of	of	ADP
easat-2687	98	4	qualitative	qualitative	ADJ
easat-2687	98	5	research	research	NOUN
easat-2687	98	6	was	be	AUX
easat-2687	98	7	ensured	ensure	VERB
easat-2687	98	8	through	through	ADP
easat-2687	98	9	prolonged	prolonged	ADJ
easat-2687	98	10	engagement	engagement	NOUN
easat-2687	98	11	with	with	ADP
easat-2687	98	12	the	the	DET
easat-2687	98	13	subjects	subject	NOUN
easat-2687	98	14	and	and	CCONJ
easat-2687	98	15	member	member	NOUN
easat-2687	98	16	-	-	PUNCT
easat-2687	98	17	checking	checking	NOUN
easat-2687	98	18	.	.	PUNCT
easat-2687	99	1	figure	figure	NOUN
easat-2687	99	2	1	1	NUM
easat-2687	99	3	.	.	PUNCT
easat-2687	99	4	absolute	absolute	ADJ
easat-2687	99	5	value	value	NOUN
easat-2687	99	6	inequality	inequality	NOUN
easat-2687	99	7	task	task	NOUN
easat-2687	99	8	.	.	PUNCT
easat-2687	100	1	after	after	ADP
easat-2687	100	2	completing	complete	VERB
easat-2687	100	3	the	the	DET
easat-2687	100	4	task	task	NOUN
easat-2687	100	5	,	,	PUNCT
easat-2687	100	6	subjects	subject	NOUN
easat-2687	100	7	were	be	AUX
easat-2687	100	8	asked	ask	VERB
easat-2687	100	9	to	to	PART
easat-2687	100	10	determine	determine	VERB
easat-2687	100	11	the	the	DET
easat-2687	100	12	criteria	criterion	NOUN
easat-2687	100	13	according	accord	VERB
easat-2687	100	14	to	to	ADP
easat-2687	100	15	themselves	themselves	PRON
easat-2687	100	16	.	.	PUNCT
easat-2687	101	1	the	the	DET
easat-2687	101	2	criteria	criterion	NOUN
easat-2687	101	3	are	be	AUX
easat-2687	101	4	presented	present	VERB
easat-2687	101	5	in	in	ADP
easat-2687	101	6	table	table	NOUN
easat-2687	101	7	2	2	NUM
easat-2687	101	8	below	below	ADV
easat-2687	101	9	.	.	PUNCT
easat-2687	102	1	of	of	ADP
easat-2687	102	2	the	the	DET
easat-2687	102	3	70	70	NUM
easat-2687	102	4	students	student	NOUN
easat-2687	102	5	who	who	PRON
easat-2687	102	6	completed	complete	VERB
easat-2687	102	7	the	the	DET
easat-2687	102	8	task	task	NOUN
easat-2687	102	9	,	,	PUNCT
easat-2687	102	10	14	14	NUM
easat-2687	102	11	said	say	VERB
easat-2687	102	12	the	the	DET
easat-2687	102	13	task	task	NOUN
easat-2687	102	14	was	be	AUX
easat-2687	102	15	difficult	difficult	ADJ
easat-2687	102	16	.	.	PUNCT
easat-2687	103	1	the	the	DET
easat-2687	103	2	rest	rest	NOUN
easat-2687	103	3	described	describe	VERB
easat-2687	103	4	it	it	PRON
easat-2687	103	5	as	as	ADP
easat-2687	103	6	moderate	moderate	ADJ
easat-2687	103	7	or	or	CCONJ
easat-2687	103	8	easy	easy	ADJ
easat-2687	103	9	.	.	PUNCT
easat-2687	104	1	table	table	NOUN
easat-2687	104	2	2	2	NUM
easat-2687	104	3	.	.	X
easat-2687	104	4	question	question	NOUN
easat-2687	104	5	criteria	criterion	NOUN
easat-2687	104	6	according	accord	VERB
easat-2687	104	7	to	to	ADP
easat-2687	104	8	the	the	DET
easat-2687	104	9	subjects	subject	NOUN
easat-2687	104	10	.	.	PUNCT
easat-2687	105	1	students	student	NOUN
easat-2687	105	2	difficult	difficult	ADJ
easat-2687	105	3	moderate	moderate	ADJ
easat-2687	105	4	easy	easy	ADJ
easat-2687	105	5	total	total	ADJ
easat-2687	105	6	fourth	fourth	ADJ
easat-2687	105	7	semester	semester	NOUN
easat-2687	105	8	8	8	NUM
easat-2687	105	9	35	35	NUM
easat-2687	105	10	7	7	NUM
easat-2687	105	11	50	50	NUM
easat-2687	105	12	sixth	sixth	ADJ
easat-2687	105	13	semester	semester	NOUN
easat-2687	105	14	6	6	NUM
easat-2687	105	15	11	11	NUM
easat-2687	105	16	11	11	NUM
easat-2687	105	17	28	28	NUM
easat-2687	105	18	14	14	NUM
easat-2687	105	19	36	36	NUM
easat-2687	105	20	18	18	NUM
easat-2687	105	21	78	78	NUM
easat-2687	105	22	4	4	NUM
easat-2687	105	23	.	.	PUNCT
easat-2687	105	24	results	result	NOUN
easat-2687	105	25	and	and	CCONJ
easat-2687	105	26	discussion	discussion	VERB
easat-2687	105	27	the	the	DET
easat-2687	105	28	task	task	NOUN
easat-2687	105	29	in	in	ADP
easat-2687	105	30	figure	figure	NOUN
easat-2687	105	31	1	1	NUM
easat-2687	105	32	was	be	AUX
easat-2687	105	33	assigned	assign	VERB
easat-2687	105	34	to	to	ADP
easat-2687	105	35	second	second	ADJ
easat-2687	105	36	-	-	PUNCT
easat-2687	105	37	year	year	NOUN
easat-2687	105	38	and	and	CCONJ
easat-2687	105	39	third	third	ADJ
easat-2687	105	40	-	-	PUNCT
easat-2687	105	41	year	year	NOUN
easat-2687	105	42	students	student	NOUN
easat-2687	105	43	.	.	PUNCT
easat-2687	106	1	they	they	PRON
easat-2687	106	2	were	be	AUX
easat-2687	106	3	asked	ask	VERB
easat-2687	106	4	to	to	PART
easat-2687	106	5	comprehend	comprehend	VERB
easat-2687	106	6	the	the	DET
easat-2687	106	7	task	task	NOUN
easat-2687	106	8	.	.	PUNCT
easat-2687	107	1	each	each	DET
easat-2687	107	2	student	student	NOUN
easat-2687	107	3	was	be	AUX
easat-2687	107	4	required	require	VERB
easat-2687	107	5	to	to	PART
easat-2687	107	6	propose	propose	VERB
easat-2687	107	7	an	an	DET
easat-2687	107	8	initial	initial	ADJ
easat-2687	107	9	idea	idea	NOUN
easat-2687	107	10	for	for	ADP
easat-2687	107	11	solving	solve	VERB
easat-2687	107	12	the	the	DET
easat-2687	107	13	absolute	absolute	ADJ
easat-2687	107	14	value	value	NOUN
easat-2687	107	15	inequality	inequality	NOUN
easat-2687	107	16	problem	problem	NOUN
easat-2687	107	17	.	.	PUNCT
easat-2687	108	1	each	each	DET
easat-2687	108	2	idea	idea	NOUN
easat-2687	108	3	they	they	PRON
easat-2687	108	4	mentioned	mention	VERB
easat-2687	108	5	was	be	AUX
easat-2687	108	6	also	also	ADV
easat-2687	108	7	to	to	PART
easat-2687	108	8	be	be	AUX
easat-2687	108	9	written	write	VERB
easat-2687	108	10	down	down	ADP
easat-2687	108	11	.	.	PUNCT
easat-2687	109	1	the	the	DET
easat-2687	109	2	ideas	idea	NOUN
easat-2687	109	3	were	be	AUX
easat-2687	109	4	further	far	ADV
easat-2687	109	5	grouped	group	VERB
easat-2687	109	6	,	,	PUNCT
easat-2687	109	7	as	as	SCONJ
easat-2687	109	8	shown	show	VERB
easat-2687	109	9	in	in	ADP
easat-2687	109	10	tables	table	NOUN
easat-2687	109	11	2	2	NUM
easat-2687	109	12	and	and	CCONJ
easat-2687	109	13	tables	table	NOUN
easat-2687	109	14	3	3	NUM
easat-2687	109	15	.	.	SYM
easat-2687	109	16	3234	3234	NUM
easat-2687	109	17	edelweiss	edelweiss	PROPN
easat-2687	109	18	applied	apply	VERB
easat-2687	109	19	science	science	NOUN
easat-2687	109	20	and	and	CCONJ
easat-2687	109	21	technology	technology	NOUN
easat-2687	109	22	issn	issn	PROPN
easat-2687	109	23	:	:	PUNCT
easat-2687	109	24	2576	2576	NUM
easat-2687	109	25	-	-	SYM
easat-2687	109	26	8484	8484	NUM
easat-2687	109	27	vol	vol	NOUN
easat-2687	109	28	.	.	PROPN
easat-2687	110	1	8	8	NUM
easat-2687	110	2	,	,	PUNCT
easat-2687	110	3	no	no	INTJ
easat-2687	110	4	.	.	NOUN
easat-2687	111	1	6	6	NUM
easat-2687	111	2	:	:	SYM
easat-2687	111	3	3230	3230	NUM
easat-2687	111	4	-	-	SYM
easat-2687	111	5	3247	3247	NUM
easat-2687	111	6	,	,	PUNCT
easat-2687	111	7	2024	2024	NUM
easat-2687	111	8	doi	doi	NOUN
easat-2687	111	9	:	:	PUNCT
easat-2687	111	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	111	11	©	©	NOUN
easat-2687	111	12	2024	2024	NUM
easat-2687	111	13	by	by	ADP
easat-2687	111	14	the	the	DET
easat-2687	111	15	authors	author	NOUN
easat-2687	111	16	;	;	PUNCT
easat-2687	111	17	licensee	licensee	PROPN
easat-2687	111	18	learning	learn	VERB
easat-2687	111	19	gate	gate	NOUN
easat-2687	111	20	table	table	NOUN
easat-2687	111	21	2	2	NUM
easat-2687	111	22	.	.	PUNCT
easat-2687	112	1	grouping	grouping	NOUN
easat-2687	112	2	of	of	ADP
easat-2687	112	3	initial	initial	ADJ
easat-2687	112	4	ideas	idea	NOUN
easat-2687	112	5	(	(	PUNCT
easat-2687	112	6	second	second	ADJ
easat-2687	112	7	year	year	NOUN
easat-2687	112	8	students	student	NOUN
easat-2687	112	9	)	)	PUNCT
easat-2687	112	10	.	.	PUNCT
easat-2687	113	1	no	no	INTJ
easat-2687	113	2	.	.	PUNCT
easat-2687	114	1	students	student	NOUN
easat-2687	114	2	understanding	understanding	NOUN
easat-2687	114	3	and	and	CCONJ
easat-2687	114	4	initial	initial	ADJ
easat-2687	114	5	idea	idea	NOUN
easat-2687	114	6	notation	notation	NOUN
easat-2687	114	7	code	code	PROPN
easat-2687	114	8	1	1	NUM
easat-2687	114	9	che	che	PROPN
easat-2687	114	10	,	,	PUNCT
easat-2687	114	11	kar	kar	PROPN
easat-2687	114	12	,	,	PUNCT
easat-2687	114	13	sal	sal	PROPN
easat-2687	114	14	,	,	PUNCT
easat-2687	114	15	nur	nur	PROPN
easat-2687	114	16	,	,	PUNCT
easat-2687	114	17	tik	tik	PROPN
easat-2687	114	18	,	,	PUNCT
easat-2687	114	19	sul	sul	PROPN
easat-2687	114	20	,	,	PUNCT
easat-2687	114	21	sit	sit	PROPN
easat-2687	114	22	,	,	PUNCT
easat-2687	114	23	kha	kha	PROPN
easat-2687	114	24	,	,	PUNCT
easat-2687	114	25	yul	yul	PROPN
easat-2687	114	26	,	,	PUNCT
easat-2687	114	27	yur	yur	PROPN
easat-2687	114	28	,	,	PUNCT
easat-2687	114	29	fiq	fiq	PROPN
easat-2687	114	30	,	,	PUNCT
easat-2687	114	31	oli	oli	DET
easat-2687	114	32	the	the	DET
easat-2687	114	33	property	property	NOUN
easat-2687	114	34	of	of	ADP
easat-2687	114	35	absolute	absolute	ADJ
easat-2687	114	36	value	value	NOUN
easat-2687	114	37	is	be	AUX
easat-2687	114	38	always	always	ADV
easat-2687	114	39	positive	positive	ADJ
easat-2687	114	40	sm41	sm41	PROPN
easat-2687	114	41	2	2	NUM
easat-2687	114	42	ann	ann	PROPN
easat-2687	114	43	,	,	PUNCT
easat-2687	115	1	saki	saki	PROPN
easat-2687	115	2	utilizing	utilize	VERB
easat-2687	115	3	the	the	DET
easat-2687	115	4	definition	definition	NOUN
easat-2687	115	5	of	of	ADP
easat-2687	115	6	absolute	absolute	ADJ
easat-2687	115	7	value	value	NOUN
easat-2687	115	8	sm42	sm42	PROPN
easat-2687	115	9	3	3	NUM
easat-2687	115	10	nil	nil	ADJ
easat-2687	115	11	,	,	PUNCT
easat-2687	115	12	fit	fit	ADJ
easat-2687	115	13	,	,	PUNCT
easat-2687	115	14	via	via	ADP
easat-2687	115	15	,	,	PUNCT
easat-2687	115	16	sri	sri	PROPN
easat-2687	115	17	,	,	PUNCT
easat-2687	115	18	fad	fad	NOUN
easat-2687	115	19	starting	start	VERB
easat-2687	115	20	with	with	ADP
easat-2687	115	21	|𝑥|	|𝑥|	PROPN
easat-2687	115	22	<	<	X
easat-2687	115	23	𝑎	𝑎	PROPN
easat-2687	115	24	sm43	sm43	PROPN
easat-2687	115	25	4	4	NUM
easat-2687	115	26	cin	cin	PROPN
easat-2687	115	27	,	,	PUNCT
easat-2687	115	28	fad	fad	PROPN
easat-2687	115	29	,	,	PUNCT
easat-2687	115	30	nur	nur	PROPN
easat-2687	115	31	,	,	PUNCT
easat-2687	115	32	ni	ni	PROPN
easat-2687	115	33	,	,	PUNCT
easat-2687	115	34	ilu	ilu	PROPN
easat-2687	115	35	sri	sri	PROPN
easat-2687	115	36	,	,	PUNCT
easat-2687	115	37	zul	zul	PROPN
easat-2687	115	38	,	,	PUNCT
easat-2687	115	39	fel	fel	PROPN
easat-2687	115	40	,	,	PUNCT
easat-2687	115	41	aziz	aziz	PROPN
easat-2687	115	42	,	,	PUNCT
easat-2687	115	43	wah	wah	PROPN
easat-2687	115	44	there	there	PRON
easat-2687	115	45	are	be	VERB
easat-2687	115	46	four	four	NUM
easat-2687	115	47	possibilities	possibility	NOUN
easat-2687	115	48	,	,	PUNCT
easat-2687	115	49	because	because	SCONJ
easat-2687	115	50	𝑥	𝑥	PRON
easat-2687	116	1	−	−	NOUN
easat-2687	116	2	3	3	NUM
easat-2687	117	1	and	and	CCONJ
easat-2687	117	2	𝑥	𝑥	NOUN
easat-2687	117	3	−	−	PROPN
easat-2687	117	4	2	2	NUM
easat-2687	117	5	are	be	AUX
easat-2687	117	6	within	within	ADP
easat-2687	117	7	absolute	absolute	ADJ
easat-2687	117	8	value	value	NOUN
easat-2687	117	9	symbols	symbol	NOUN
easat-2687	117	10	sm44	sm44	PROPN
easat-2687	117	11	5	5	NUM
easat-2687	117	12	fit	fit	ADJ
easat-2687	117	13	removing	remove	VERB
easat-2687	117	14	the	the	DET
easat-2687	117	15	absolute	absolute	ADJ
easat-2687	117	16	value	value	NOUN
easat-2687	117	17	sm45	sm45	PROPN
easat-2687	117	18	6	6	NUM
easat-2687	117	19	pat	pat	NOUN
easat-2687	117	20	,	,	PUNCT
easat-2687	117	21	wid	wid	PROPN
easat-2687	117	22	,	,	PUNCT
easat-2687	117	23	yos	yos	PROPN
easat-2687	117	24	removing	remove	VERB
easat-2687	117	25	the	the	DET
easat-2687	117	26	absolute	absolute	ADJ
easat-2687	117	27	value	value	NOUN
easat-2687	117	28	symbol	symbol	NOUN
easat-2687	117	29	sm46	sm46	PROPN
easat-2687	117	30	7	7	NUM
easat-2687	117	31	rah	rah	PROPN
easat-2687	117	32	consisting	consist	VERB
easat-2687	117	33	of	of	ADP
easat-2687	117	34	two	two	NUM
easat-2687	117	35	cases	case	NOUN
easat-2687	117	36	sm47	sm47	VERB
easat-2687	117	37	8	8	NUM
easat-2687	117	38	eka	eka	NOUN
easat-2687	117	39	,	,	PUNCT
easat-2687	117	40	kad	kad	PROPN
easat-2687	117	41	,	,	PUNCT
easat-2687	117	42	luk	luk	PROPN
easat-2687	117	43	,	,	PUNCT
easat-2687	117	44	nazi	nazi	PROPN
easat-2687	117	45	,	,	PUNCT
easat-2687	117	46	tty	tty	NOUN
easat-2687	117	47	,	,	PUNCT
easat-2687	117	48	wan	wan	PROPN
easat-2687	117	49	,	,	PUNCT
easat-2687	117	50	nur	nur	VERB
easat-2687	117	51	determining	determine	VERB
easat-2687	117	52	the	the	DET
easat-2687	117	53	value	value	NOUN
easat-2687	117	54	of	of	ADP
easat-2687	117	55	x	x	X
easat-2687	117	56	sm48	sm48	PROPN
easat-2687	117	57	9	9	NUM
easat-2687	117	58	eet	eet	X
easat-2687	117	59	,	,	PUNCT
easat-2687	117	60	mif	mif	PROPN
easat-2687	117	61	,	,	PUNCT
easat-2687	117	62	ismi	ismi	PROPN
easat-2687	117	63	,	,	PUNCT
easat-2687	117	64	zian	zian	ADJ
easat-2687	117	65	,	,	PUNCT
easat-2687	117	66	gus	gus	NOUN
easat-2687	117	67	replacing	replace	VERB
easat-2687	117	68	the	the	DET
easat-2687	117	69	<	<	X
easat-2687	117	70	symbol	symbol	NOUN
easat-2687	117	71	with	with	ADP
easat-2687	117	72	=	=	NOUN
easat-2687	117	73	symbol	symbol	NOUN
easat-2687	117	74	sm49	sm49	PROPN
easat-2687	117	75	10	10	NUM
easat-2687	117	76	rin	rin	NOUN
easat-2687	117	77	,	,	PUNCT
easat-2687	117	78	azim	azim	PROPN
easat-2687	117	79	,	,	PUNCT
easat-2687	117	80	mal	mal	PROPN
easat-2687	117	81	shifting	shift	VERB
easat-2687	117	82	the	the	DET
easat-2687	117	83	absolute	absolute	ADJ
easat-2687	117	84	value	value	NOUN
easat-2687	117	85	sm10	sm10	PROPN
easat-2687	117	86	3235	3235	NUM
easat-2687	117	87	edelweiss	edelweiss	PROPN
easat-2687	117	88	applied	apply	VERB
easat-2687	117	89	science	science	NOUN
easat-2687	117	90	and	and	CCONJ
easat-2687	117	91	technology	technology	NOUN
easat-2687	117	92	issn	issn	PROPN
easat-2687	117	93	:	:	PUNCT
easat-2687	117	94	2576	2576	NUM
easat-2687	117	95	-	-	SYM
easat-2687	117	96	8484	8484	NUM
easat-2687	117	97	vol	vol	NOUN
easat-2687	117	98	.	.	PROPN
easat-2687	118	1	8	8	NUM
easat-2687	118	2	,	,	PUNCT
easat-2687	118	3	no	no	INTJ
easat-2687	118	4	.	.	NOUN
easat-2687	119	1	6	6	NUM
easat-2687	119	2	:	:	SYM
easat-2687	119	3	3230	3230	NUM
easat-2687	119	4	-	-	SYM
easat-2687	119	5	3247	3247	NUM
easat-2687	119	6	,	,	PUNCT
easat-2687	119	7	2024	2024	NUM
easat-2687	119	8	doi	doi	NOUN
easat-2687	119	9	:	:	PUNCT
easat-2687	119	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	119	11	©	©	NOUN
easat-2687	119	12	2024	2024	NUM
easat-2687	119	13	by	by	ADP
easat-2687	119	14	the	the	DET
easat-2687	119	15	authors	author	NOUN
easat-2687	119	16	;	;	PUNCT
easat-2687	119	17	licensee	licensee	PROPN
easat-2687	119	18	learning	learn	VERB
easat-2687	119	19	gate	gate	NOUN
easat-2687	119	20	table	table	NOUN
easat-2687	119	21	3	3	NUM
easat-2687	119	22	.	.	PUNCT
easat-2687	120	1	grouping	group	VERB
easat-2687	120	2	of	of	ADP
easat-2687	120	3	initial	initial	ADJ
easat-2687	120	4	ideas	idea	NOUN
easat-2687	120	5	(	(	PUNCT
easat-2687	120	6	third	third	ADJ
easat-2687	120	7	year	year	NOUN
easat-2687	120	8	students	student	NOUN
easat-2687	120	9	)	)	PUNCT
easat-2687	120	10	.	.	PUNCT
easat-2687	121	1	no	no	INTJ
easat-2687	121	2	.	.	PUNCT
easat-2687	122	1	students	student	NOUN
easat-2687	122	2	understanding	understanding	NOUN
easat-2687	122	3	and	and	CCONJ
easat-2687	122	4	initial	initial	ADJ
easat-2687	122	5	idea	idea	NOUN
easat-2687	122	6	notation	notation	PROPN
easat-2687	122	7	code	code	PROPN
easat-2687	122	8	subject	subject	NOUN
easat-2687	122	9	using	use	VERB
easat-2687	122	10	the	the	DET
easat-2687	122	11	properties	property	NOUN
easat-2687	122	12	of	of	ADP
easat-2687	122	13	inequalities	inequality	NOUN
easat-2687	122	14	1	1	NUM
easat-2687	122	15	ro	ro	NOUN
easat-2687	122	16	,	,	PUNCT
easat-2687	122	17	ali	ali	PROPN
easat-2687	122	18	,	,	PUNCT
easat-2687	122	19	san	san	PROPN
easat-2687	122	20	,	,	PUNCT
easat-2687	122	21	angg	angg	ADJ
easat-2687	122	22	,	,	PUNCT
easat-2687	122	23	raf	raf	PROPN
easat-2687	122	24	,	,	PUNCT
easat-2687	122	25	mar	mar	PROPN
easat-2687	122	26	,	,	PUNCT
easat-2687	122	27	zain	zain	PROPN
easat-2687	122	28	,	,	PUNCT
easat-2687	122	29	indri	indri	NOUN
easat-2687	122	30	to	to	PART
easat-2687	122	31	operate	operate	VERB
easat-2687	122	32	on	on	ADP
easat-2687	122	33	absolute	absolute	ADJ
easat-2687	122	34	value	value	NOUN
easat-2687	122	35	inequalities	inequality	NOUN
easat-2687	122	36	,	,	PUNCT
easat-2687	122	37	the	the	DET
easat-2687	122	38	first	first	ADJ
easat-2687	122	39	step	step	NOUN
easat-2687	122	40	is	be	AUX
easat-2687	122	41	to	to	PART
easat-2687	122	42	remove	remove	VERB
easat-2687	122	43	the	the	DET
easat-2687	122	44	symbol	symbol	NOUN
easat-2687	122	45	of	of	ADP
easat-2687	122	46	absolute	absolute	ADJ
easat-2687	122	47	value	value	NOUN
easat-2687	122	48	sm61	sm61	PROPN
easat-2687	122	49	2	2	NUM
easat-2687	122	50	sal	sal	NOUN
easat-2687	122	51	expanding	expand	VERB
easat-2687	122	52	the	the	DET
easat-2687	122	53	inequality	inequality	NOUN
easat-2687	122	54	into	into	ADP
easat-2687	122	55	four	four	NUM
easat-2687	122	56	forms	form	NOUN
easat-2687	122	57	,	,	PUNCT
easat-2687	122	58	namely	namely	ADV
easat-2687	122	59	sm62	sm62	PROPN
easat-2687	122	60	3	3	NUM
easat-2687	122	61	rif	rif	NOUN
easat-2687	122	62	to	to	PART
easat-2687	122	63	simplify	simplify	VERB
easat-2687	122	64	the	the	DET
easat-2687	122	65	inequality	inequality	NOUN
easat-2687	122	66	of	of	ADP
easat-2687	122	67	absolute	absolute	ADJ
easat-2687	122	68	value	value	NOUN
easat-2687	122	69	functions	function	NOUN
easat-2687	122	70	,	,	PUNCT
easat-2687	122	71	first	first	ADV
easat-2687	122	72	multiply	multiply	VERB
easat-2687	122	73	1	1	NUM
easat-2687	122	74	and	and	CCONJ
easat-2687	122	75	-1	-1	ADV
easat-2687	122	76	into	into	ADP
easat-2687	122	77	the	the	DET
easat-2687	122	78	absolute	absolute	ADJ
easat-2687	122	79	value	value	NOUN
easat-2687	122	80	functions	function	NOUN
easat-2687	122	81	of	of	ADP
easat-2687	122	82	|𝑥	|𝑥	NOUN
easat-2687	122	83	−	−	PROPN
easat-2687	122	84	3|	3|	NUM
easat-2687	122	85	+	+	NUM
easat-2687	122	86	|𝑥	|𝑥	NOUN
easat-2687	122	87	+	+	X
easat-2687	122	88	2|	2|	X
easat-2687	122	89	<	<	X
easat-2687	122	90	11	11	NUM
easat-2687	122	91	sm63	sm63	NOUN
easat-2687	122	92	4	4	NUM
easat-2687	122	93	sya	sya	PROPN
easat-2687	122	94	,	,	PUNCT
easat-2687	122	95	feb	feb	PROPN
easat-2687	122	96	,	,	PUNCT
easat-2687	122	97	dwi	dwi	PROPN
easat-2687	122	98	based	base	VERB
easat-2687	122	99	on	on	ADP
easat-2687	122	100	the	the	DET
easat-2687	122	101	properties	property	NOUN
easat-2687	122	102	of	of	ADP
easat-2687	122	103	absolute	absolute	ADJ
easat-2687	122	104	value	value	NOUN
easat-2687	122	105	sm64	sm64	PROPN
easat-2687	122	106	5	5	NUM
easat-2687	122	107	si	si	NOUN
easat-2687	122	108	replacing	replace	VERB
easat-2687	122	109	the	the	DET
easat-2687	122	110	inequality	inequality	NOUN
easat-2687	122	111	symbol	symbol	NOUN
easat-2687	122	112	with	with	ADP
easat-2687	122	113	=	=	NOUN
easat-2687	122	114	symbol	symbol	NOUN
easat-2687	122	115	sm65	sm65	PROPN
easat-2687	122	116	6	6	NUM
easat-2687	122	117	rat	rat	NOUN
easat-2687	122	118	consisting	consist	VERB
easat-2687	122	119	of	of	ADP
easat-2687	122	120	four	four	NUM
easat-2687	122	121	cases	case	NOUN
easat-2687	122	122	sm66	sm66	PROPN
easat-2687	122	123	7	7	NUM
easat-2687	122	124	nur	nur	NOUN
easat-2687	122	125	,	,	PUNCT
easat-2687	122	126	rul	rul	NOUN
easat-2687	122	127	,	,	PUNCT
easat-2687	122	128	dian	dian	NOUN
easat-2687	122	129	,	,	PUNCT
easat-2687	122	130	heri	heri	NOUN
easat-2687	122	131	,	,	PUNCT
easat-2687	122	132	mag	mag	PROPN
easat-2687	122	133	,	,	PUNCT
easat-2687	122	134	ani	ani	NOUN
easat-2687	122	135	using	use	VERB
easat-2687	122	136	the	the	DET
easat-2687	122	137	definition	definition	NOUN
easat-2687	122	138	of	of	ADP
easat-2687	122	139	absolute	absolute	ADJ
easat-2687	122	140	value	value	NOUN
easat-2687	122	141	sm67	sm67	PROPN
easat-2687	122	142	8	8	NUM
easat-2687	122	143	eva	eva	NOUN
easat-2687	122	144	determining	determine	VERB
easat-2687	122	145	the	the	DET
easat-2687	122	146	value	value	NOUN
easat-2687	122	147	of	of	ADP
easat-2687	122	148	x	x	PUNCT
easat-2687	122	149	there	there	PRON
easat-2687	122	150	are	be	VERB
easat-2687	122	151	3	3	NUM
easat-2687	122	152	solution	solution	NOUN
easat-2687	122	153	regions	region	NOUN
easat-2687	123	1	sm68	sm68	PROPN
easat-2687	123	2	9	9	NUM
easat-2687	123	3	arw	arw	NOUN
easat-2687	123	4	squaring	square	VERB
easat-2687	123	5	both	both	DET
easat-2687	123	6	sides	side	NOUN
easat-2687	123	7	sm69	sm69	PROPN
easat-2687	123	8	there	there	PRON
easat-2687	123	9	are	be	VERB
easat-2687	123	10	ten	ten	NUM
easat-2687	123	11	initial	initial	ADJ
easat-2687	123	12	ideas	idea	NOUN
easat-2687	123	13	in	in	ADP
easat-2687	123	14	table	table	NOUN
easat-2687	123	15	2	2	NUM
easat-2687	123	16	and	and	CCONJ
easat-2687	123	17	nine	nine	NUM
easat-2687	123	18	initial	initial	ADJ
easat-2687	123	19	ideas	idea	NOUN
easat-2687	123	20	in	in	ADP
easat-2687	123	21	table	table	NOUN
easat-2687	123	22	3	3	NUM
easat-2687	123	23	.	.	PUNCT
easat-2687	124	1	a	a	DET
easat-2687	124	2	difference	difference	NOUN
easat-2687	124	3	of	of	ADP
easat-2687	124	4	narratives	narrative	NOUN
easat-2687	124	5	among	among	ADP
easat-2687	124	6	a	a	DET
easat-2687	124	7	group	group	NOUN
easat-2687	124	8	of	of	ADP
easat-2687	124	9	students	student	NOUN
easat-2687	124	10	was	be	AUX
easat-2687	124	11	observed	observe	VERB
easat-2687	124	12	.	.	PUNCT
easat-2687	125	1	it	it	PRON
easat-2687	125	2	indicates	indicate	VERB
easat-2687	125	3	the	the	DET
easat-2687	125	4	presence	presence	NOUN
easat-2687	125	5	of	of	ADP
easat-2687	125	6	conflict	conflict	NOUN
easat-2687	125	7	.	.	PUNCT
easat-2687	126	1	furthermore	furthermore	ADV
easat-2687	126	2	,	,	PUNCT
easat-2687	126	3	the	the	DET
easat-2687	126	4	researcher	researcher	NOUN
easat-2687	126	5	revisited	revisit	VERB
easat-2687	126	6	the	the	DET
easat-2687	126	7	data	datum	NOUN
easat-2687	126	8	to	to	PART
easat-2687	126	9	determine	determine	VERB
easat-2687	126	10	if	if	SCONJ
easat-2687	126	11	any	any	PRON
easat-2687	126	12	of	of	ADP
easat-2687	126	13	the	the	DET
easat-2687	126	14	ideas	idea	NOUN
easat-2687	126	15	mentioned	mention	VERB
easat-2687	126	16	and	and	CCONJ
easat-2687	126	17	written	write	VERB
easat-2687	126	18	could	could	AUX
easat-2687	126	19	be	be	AUX
easat-2687	126	20	combined	combine	VERB
easat-2687	126	21	.	.	PUNCT
easat-2687	127	1	seven	seven	NUM
easat-2687	127	2	discourses	discourse	NOUN
easat-2687	127	3	were	be	AUX
easat-2687	127	4	identified	identify	VERB
easat-2687	127	5	from	from	ADP
easat-2687	127	6	the	the	DET
easat-2687	127	7	combination	combination	NOUN
easat-2687	127	8	of	of	ADP
easat-2687	127	9	the	the	DET
easat-2687	127	10	narrative	narrative	NOUN
easat-2687	127	11	of	of	ADP
easat-2687	127	12	second	second	ADJ
easat-2687	127	13	-	-	PUNCT
easat-2687	127	14	year	year	NOUN
easat-2687	127	15	and	and	CCONJ
easat-2687	127	16	third	third	ADJ
easat-2687	127	17	-	-	PUNCT
easat-2687	127	18	year	year	NOUN
easat-2687	127	19	students.to	students.to	NUM
easat-2687	127	20	further	far	ADV
easat-2687	127	21	explore	explore	VERB
easat-2687	127	22	this	this	DET
easat-2687	127	23	commognitive	commognitive	ADJ
easat-2687	127	24	conflict	conflict	NOUN
easat-2687	127	25	,	,	PUNCT
easat-2687	127	26	11	11	NUM
easat-2687	127	27	students	student	NOUN
easat-2687	127	28	were	be	AUX
easat-2687	127	29	selected	select	VERB
easat-2687	127	30	as	as	ADP
easat-2687	127	31	subjects	subject	NOUN
easat-2687	127	32	.	.	PUNCT
easat-2687	128	1	interviews	interview	NOUN
easat-2687	128	2	were	be	AUX
easat-2687	128	3	conducted	conduct	VERB
easat-2687	128	4	with	with	ADP
easat-2687	128	5	the	the	DET
easat-2687	128	6	subjects	subject	NOUN
easat-2687	128	7	,	,	PUNCT
easat-2687	128	8	and	and	CCONJ
easat-2687	128	9	for	for	ADP
easat-2687	128	10	each	each	DET
easat-2687	128	11	identified	identify	VERB
easat-2687	128	12	discourse	discourse	NOUN
easat-2687	128	13	,	,	PUNCT
easat-2687	128	14	1	1	NUM
easat-2687	128	15	or	or	CCONJ
easat-2687	128	16	2	2	NUM
easat-2687	128	17	subjects	subject	NOUN
easat-2687	128	18	were	be	AUX
easat-2687	128	19	3236	3236	NUM
easat-2687	128	20	edelweiss	edelweiss	PROPN
easat-2687	128	21	applied	apply	VERB
easat-2687	128	22	science	science	NOUN
easat-2687	128	23	and	and	CCONJ
easat-2687	128	24	technology	technology	NOUN
easat-2687	128	25	issn	issn	PROPN
easat-2687	128	26	:	:	PUNCT
easat-2687	128	27	2576	2576	NUM
easat-2687	128	28	-	-	SYM
easat-2687	128	29	8484	8484	NUM
easat-2687	128	30	vol	vol	NOUN
easat-2687	128	31	.	.	PROPN
easat-2687	129	1	8	8	NUM
easat-2687	129	2	,	,	PUNCT
easat-2687	129	3	no	no	INTJ
easat-2687	129	4	.	.	NOUN
easat-2687	130	1	6	6	NUM
easat-2687	130	2	:	:	SYM
easat-2687	130	3	3230	3230	NUM
easat-2687	130	4	-	-	SYM
easat-2687	130	5	3247	3247	NUM
easat-2687	130	6	,	,	PUNCT
easat-2687	130	7	2024	2024	NUM
easat-2687	130	8	doi	doi	NOUN
easat-2687	130	9	:	:	PUNCT
easat-2687	130	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	130	11	©	©	NOUN
easat-2687	130	12	2024	2024	NUM
easat-2687	130	13	by	by	ADP
easat-2687	130	14	the	the	DET
easat-2687	130	15	authors	author	NOUN
easat-2687	130	16	;	;	PUNCT
easat-2687	130	17	licensee	licensee	PROPN
easat-2687	130	18	learning	learn	VERB
easat-2687	130	19	gate	gate	NOUN
easat-2687	130	20	interviewed	interview	VERB
easat-2687	130	21	.	.	PUNCT
easat-2687	131	1	the	the	DET
easat-2687	131	2	subjects	subject	NOUN
easat-2687	131	3	who	who	PRON
easat-2687	131	4	were	be	AUX
easat-2687	131	5	interviewed	interview	VERB
easat-2687	131	6	are	be	AUX
easat-2687	131	7	highlighted	highlight	VERB
easat-2687	131	8	in	in	ADP
easat-2687	131	9	black	black	ADJ
easat-2687	131	10	and	and	CCONJ
easat-2687	131	11	bold	bold	ADJ
easat-2687	131	12	.	.	PUNCT
easat-2687	132	1	the	the	DET
easat-2687	132	2	following	follow	VERB
easat-2687	132	3	presents	present	VERB
easat-2687	132	4	the	the	DET
easat-2687	132	5	findings	finding	NOUN
easat-2687	132	6	from	from	ADP
easat-2687	132	7	the	the	DET
easat-2687	132	8	differing	differ	VERB
easat-2687	132	9	subject	subject	NOUN
easat-2687	132	10	discourses	discourse	NOUN
easat-2687	132	11	.	.	PUNCT
easat-2687	133	1	4.1	4.1	NUM
easat-2687	133	2	.	.	PUNCT
easat-2687	134	1	the	the	DET
easat-2687	134	2	property	property	NOUN
easat-2687	134	3	of	of	ADP
easat-2687	134	4	absolute	absolute	ADJ
easat-2687	134	5	value	value	NOUN
easat-2687	134	6	is	be	AUX
easat-2687	134	7	always	always	ADV
easat-2687	134	8	positive	positive	ADJ
easat-2687	134	9	(	(	PUNCT
easat-2687	134	10	sm41	sm41	PROPN
easat-2687	134	11	,	,	PUNCT
easat-2687	134	12	sm64	sm64	PROPN
easat-2687	134	13	)	)	PUNCT
easat-2687	134	14	che	che	PROPN
easat-2687	134	15	is	be	AUX
easat-2687	134	16	a	a	DET
easat-2687	134	17	second	second	ADJ
easat-2687	134	18	-	-	PUNCT
easat-2687	134	19	year	year	NOUN
easat-2687	134	20	student	student	NOUN
easat-2687	134	21	at	at	ADP
easat-2687	134	22	the	the	DET
easat-2687	134	23	university	university	NOUN
easat-2687	134	24	.	.	PUNCT
easat-2687	135	1	the	the	DET
easat-2687	135	2	subject	subject	NOUN
easat-2687	135	3	described	describe	VERB
easat-2687	135	4	the	the	DET
easat-2687	135	5	task	task	NOUN
easat-2687	135	6	as	as	ADP
easat-2687	135	7	an	an	DET
easat-2687	135	8	easy	easy	ADJ
easat-2687	135	9	category	category	NOUN
easat-2687	135	10	and	and	CCONJ
easat-2687	135	11	mentioned	mention	VERB
easat-2687	135	12	the	the	DET
easat-2687	135	13	initial	initial	ADJ
easat-2687	135	14	idea	idea	NOUN
easat-2687	135	15	for	for	ADP
easat-2687	135	16	solving	solve	VERB
easat-2687	135	17	the	the	DET
easat-2687	135	18	absolute	absolute	ADJ
easat-2687	135	19	value	value	NOUN
easat-2687	135	20	inequality	inequality	NOUN
easat-2687	135	21	problem	problem	NOUN
easat-2687	135	22	as	as	ADP
easat-2687	135	23	“	"	PUNCT
easat-2687	135	24	the	the	DET
easat-2687	135	25	property	property	NOUN
easat-2687	135	26	of	of	ADP
easat-2687	135	27	absolute	absolute	ADJ
easat-2687	135	28	value	value	NOUN
easat-2687	135	29	is	be	AUX
easat-2687	135	30	always	always	ADV
easat-2687	135	31	positive	positive	ADJ
easat-2687	135	32	”	"	PUNCT
easat-2687	135	33	.	.	PUNCT
easat-2687	136	1	the	the	DET
easat-2687	136	2	subject	subject	ADJ
easat-2687	136	3	responses	response	NOUN
easat-2687	136	4	are	be	AUX
easat-2687	136	5	shown	show	VERB
easat-2687	136	6	in	in	ADP
easat-2687	136	7	figure	figure	NOUN
easat-2687	136	8	2	2	NUM
easat-2687	136	9	.	.	PUNCT
easat-2687	136	10	figure	figure	NOUN
easat-2687	136	11	2	2	NUM
easat-2687	136	12	.	.	PUNCT
easat-2687	136	13	answer	answer	NOUN
easat-2687	136	14	by	by	ADP
easat-2687	136	15	subject	subject	NOUN
easat-2687	136	16	che	che	PROPN
easat-2687	136	17	.	.	PUNCT
easat-2687	136	18	to	to	PART
easat-2687	136	19	gain	gain	VERB
easat-2687	136	20	further	further	ADJ
easat-2687	136	21	insight	insight	NOUN
easat-2687	136	22	into	into	ADP
easat-2687	136	23	the	the	DET
easat-2687	136	24	subject	subject	NOUN
easat-2687	136	25	’s	’s	PART
easat-2687	136	26	ideas	idea	NOUN
easat-2687	136	27	and	and	CCONJ
easat-2687	136	28	work	work	NOUN
easat-2687	136	29	process	process	NOUN
easat-2687	136	30	,	,	PUNCT
easat-2687	136	31	an	an	DET
easat-2687	136	32	interview	interview	NOUN
easat-2687	136	33	was	be	AUX
easat-2687	136	34	conducted	conduct	VERB
easat-2687	136	35	,	,	PUNCT
easat-2687	136	36	as	as	SCONJ
easat-2687	136	37	shown	show	VERB
easat-2687	136	38	in	in	ADP
easat-2687	136	39	table	table	NOUN
easat-2687	136	40	4	4	NUM
easat-2687	136	41	.	.	PUNCT
easat-2687	136	42	table	table	NOUN
easat-2687	136	43	4	4	NUM
easat-2687	136	44	.	.	PUNCT
easat-2687	137	1	discussion	discussion	NOUN
easat-2687	137	2	transcripts	transcript	NOUN
easat-2687	137	3	subject	subject	PROPN
easat-2687	137	4	che	che	PROPN
easat-2687	137	5	.	.	PUNCT
easat-2687	138	1	interview	interview	NOUN
easat-2687	138	2	discussion	discussion	NOUN
easat-2687	138	3	researcher	researcher	NOUN
easat-2687	138	4	do	do	AUX
easat-2687	138	5	you	you	PRON
easat-2687	138	6	understand	understand	VERB
easat-2687	138	7	the	the	DET
easat-2687	138	8	problem	problem	NOUN
easat-2687	138	9	?	?	PUNCT
easat-2687	139	1	che	che	PROPN
easat-2687	139	2	yes	yes	INTJ
easat-2687	139	3	,	,	PUNCT
easat-2687	139	4	ma’am	ma’am	PROPN
easat-2687	139	5	.	.	PUNCT
easat-2687	140	1	the	the	DET
easat-2687	140	2	absolute	absolute	ADJ
easat-2687	140	3	value	value	NOUN
easat-2687	140	4	symbol	symbol	NOUN
easat-2687	140	5	,	,	PUNCT
easat-2687	140	6	it	it	PRON
easat-2687	140	7	’s	’	VERB
easat-2687	140	8	always	always	ADV
easat-2687	140	9	positive	positive	ADJ
easat-2687	140	10	.	.	PUNCT
easat-2687	141	1	researcher	researcher	NOUN
easat-2687	141	2	do	do	AUX
easat-2687	141	3	you	you	PRON
easat-2687	141	4	remember	remember	VERB
easat-2687	141	5	the	the	DET
easat-2687	141	6	definition	definition	NOUN
easat-2687	141	7	of	of	ADP
easat-2687	141	8	absolute	absolute	ADJ
easat-2687	141	9	value	value	NOUN
easat-2687	141	10	?	?	PUNCT
easat-2687	142	1	(	(	PUNCT
easat-2687	142	2	asking	ask	VERB
easat-2687	142	3	1sm416	1sm416	NUM
easat-2687	142	4	)	)	PUNCT
easat-2687	142	5	che	che	X
easat-2687	142	6	the	the	DET
easat-2687	142	7	absolute	absolute	ADJ
easat-2687	142	8	value	value	NOUN
easat-2687	142	9	of	of	ADP
easat-2687	142	10	|𝑥	|𝑥	NOUN
easat-2687	142	11	−	−	PROPN
easat-2687	142	12	3|	3|	NUM
easat-2687	142	13	becomes	become	VERB
easat-2687	142	14	x	x	PUNCT
easat-2687	142	15	-3	-3	PUNCT
easat-2687	142	16	,	,	PUNCT
easat-2687	142	17	and	and	CCONJ
easat-2687	142	18	|𝑥	|𝑥	PROPN
easat-2687	143	1	+	+	CCONJ
easat-2687	143	2	2|	2|	NUM
easat-2687	143	3	becomes	become	VERB
easat-2687	143	4	𝑥	𝑥	NOUN
easat-2687	143	5	+	+	NOUN
easat-2687	143	6	2	2	NUM
easat-2687	143	7	.	.	PUNCT
easat-2687	144	1	once	once	ADV
easat-2687	144	2	the	the	DET
easat-2687	144	3	absolute	absolute	ADJ
easat-2687	144	4	signs	sign	NOUN
easat-2687	144	5	are	be	AUX
easat-2687	144	6	removed	remove	VERB
easat-2687	144	7	,	,	PUNCT
easat-2687	144	8	the	the	DET
easat-2687	144	9	value	value	NOUN
easat-2687	144	10	of	of	ADP
easat-2687	144	11	x	x	PUNCT
easat-2687	144	12	can	can	AUX
easat-2687	144	13	be	be	AUX
easat-2687	144	14	determined	determine	VERB
easat-2687	144	15	.	.	PUNCT
easat-2687	145	1	peneliti	peneliti	VERB
easat-2687	145	2	any	any	DET
easat-2687	145	3	other	other	ADJ
easat-2687	145	4	thoughts	thought	NOUN
easat-2687	145	5	?	?	PUNCT
easat-2687	146	1	che	che	PROPN
easat-2687	146	2	no	no	INTJ
easat-2687	146	3	,	,	PUNCT
easat-2687	146	4	ma’am	ma’am	PROPN
easat-2687	146	5	.	.	PUNCT
easat-2687	146	6	subject	subject	PROPN
easat-2687	146	7	che	che	PROPN
easat-2687	146	8	focused	focus	VERB
easat-2687	146	9	solely	solely	ADV
easat-2687	146	10	on	on	ADP
easat-2687	146	11	substituting	substitute	VERB
easat-2687	146	12	the	the	DET
easat-2687	146	13	value	value	NOUN
easat-2687	146	14	of	of	ADP
easat-2687	146	15	𝑥	𝑥	NOUN
easat-2687	146	16	into	into	ADP
easat-2687	146	17	the	the	DET
easat-2687	146	18	function	function	NOUN
easat-2687	146	19	,	,	PUNCT
easat-2687	146	20	stating	state	VERB
easat-2687	146	21	that	that	SCONJ
easat-2687	146	22	the	the	DET
easat-2687	146	23	result	result	NOUN
easat-2687	146	24	would	would	AUX
easat-2687	146	25	always	always	ADV
easat-2687	146	26	be	be	AUX
easat-2687	146	27	positive	positive	ADJ
easat-2687	146	28	.	.	PUNCT
easat-2687	147	1	for	for	ADP
easat-2687	147	2	example	example	NOUN
easat-2687	147	3	,	,	PUNCT
easat-2687	147	4	|𝑥	|𝑥	ADP
easat-2687	147	5	−	−	PROPN
easat-2687	147	6	3|	3|	NUM
easat-2687	147	7	becomes	become	VERB
easat-2687	147	8	𝑥	𝑥	PRON
easat-2687	147	9	−	−	NOUN
easat-2687	147	10	3	3	NUM
easat-2687	147	11	,	,	PUNCT
easat-2687	147	12	and	and	CCONJ
easat-2687	147	13	|𝑥	|𝑥	PROPN
easat-2687	148	1	+	+	CCONJ
easat-2687	148	2	2|	2|	NUM
easat-2687	148	3	becomes	become	VERB
easat-2687	148	4	𝑥	𝑥	NOUN
easat-2687	148	5	+	+	NOUN
easat-2687	148	6	2	2	NUM
easat-2687	148	7	.	.	PUNCT
easat-2687	148	8	according	accord	VERB
easat-2687	148	9	to	to	ADP
easat-2687	148	10	the	the	DET
easat-2687	148	11	subject	subject	NOUN
easat-2687	148	12	,	,	PUNCT
easat-2687	148	13	since	since	SCONJ
easat-2687	148	14	the	the	DET
easat-2687	148	15	absolute	absolute	ADJ
easat-2687	148	16	value	value	NOUN
easat-2687	148	17	is	be	AUX
easat-2687	148	18	always	always	ADV
easat-2687	148	19	positive	positive	ADJ
easat-2687	148	20	,	,	PUNCT
easat-2687	148	21	they	they	PRON
easat-2687	148	22	simply	simply	ADV
easat-2687	148	23	removed	remove	VERB
easat-2687	148	24	the	the	DET
easat-2687	148	25	absolute	absolute	ADJ
easat-2687	148	26	value	value	NOUN
easat-2687	148	27	signs	sign	NOUN
easat-2687	148	28	.	.	PUNCT
easat-2687	149	1	it	it	PRON
easat-2687	149	2	aligns	align	VERB
easat-2687	149	3	with	with	ADP
easat-2687	149	4	the	the	DET
easat-2687	149	5	findings	finding	NOUN
easat-2687	149	6	of	of	ADP
easat-2687	149	7	gagatsis	gagatsis	NOUN
easat-2687	149	8	&	&	CCONJ
easat-2687	149	9	panaoura	panaoura	PROPN
easat-2687	149	10	(	(	PUNCT
easat-2687	149	11	2014	2014	NUM
easat-2687	149	12	)	)	PUNCT
easat-2687	149	13	,	,	PUNCT
easat-2687	149	14	which	which	PRON
easat-2687	149	15	suggest	suggest	VERB
easat-2687	149	16	that	that	SCONJ
easat-2687	149	17	students	student	NOUN
easat-2687	149	18	often	often	ADV
easat-2687	149	19	assume	assume	VERB
easat-2687	149	20	that	that	SCONJ
easat-2687	149	21	|𝑥	|𝑥	PROPN
easat-2687	149	22	+	+	NOUN
easat-2687	149	23	3|	3|	NUM
easat-2687	149	24	=	=	SYM
easat-2687	149	25	𝑥	𝑥	PROPN
easat-2687	149	26	+	+	NUM
easat-2687	149	27	3	3	NUM
easat-2687	149	28	if	if	SCONJ
easat-2687	149	29	𝑥	𝑥	PROPN
easat-2687	149	30	>	>	X
easat-2687	149	31	0	0	X
easat-2687	149	32	.	.	PUNCT
easat-2687	150	1	the	the	DET
easat-2687	150	2	partial	partial	ADJ
easat-2687	150	3	understanding	understanding	NOUN
easat-2687	150	4	of	of	ADP
easat-2687	150	5	the	the	DET
easat-2687	150	6	absolute	absolute	ADJ
easat-2687	150	7	value	value	NOUN
easat-2687	150	8	definition	definition	NOUN
easat-2687	150	9	may	may	AUX
easat-2687	150	10	be	be	AUX
easat-2687	150	11	due	due	ADJ
easat-2687	150	12	to	to	ADP
easat-2687	150	13	a	a	DET
easat-2687	150	14	tendency	tendency	NOUN
easat-2687	150	15	of	of	ADP
easat-2687	150	16	the	the	DET
easat-2687	150	17	students	student	NOUN
easat-2687	150	18	to	to	PART
easat-2687	150	19	memorize	memorize	VERB
easat-2687	150	20	the	the	DET
easat-2687	150	21	definitions	definition	NOUN
easat-2687	150	22	(	(	PUNCT
easat-2687	150	23	papadouris	papadouris	NOUN
easat-2687	150	24	et	et	PROPN
easat-2687	150	25	al	al	PROPN
easat-2687	150	26	.	.	PROPN
easat-2687	150	27	,	,	PUNCT
easat-2687	150	28	2024	2024	NUM
easat-2687	150	29	)	)	PUNCT
easat-2687	150	30	.	.	PUNCT
easat-2687	151	1	1	1	NUM
easat-2687	151	2	.	.	X
easat-2687	151	3	4.2	4.2	NUM
easat-2687	151	4	.	.	PUNCT
easat-2687	152	1	using	use	VERB
easat-2687	152	2	|𝑥|	|𝑥|	PROPN
easat-2687	152	3	<	<	X
easat-2687	152	4	𝑎	𝑎	X
easat-2687	152	5	(	(	PUNCT
easat-2687	152	6	sm43	sm43	PROPN
easat-2687	152	7	,	,	PUNCT
easat-2687	152	8	sm61	sm61	PROPN
easat-2687	152	9	)	)	PUNCT
easat-2687	152	10	3237	3237	NUM
easat-2687	152	11	edelweiss	edelweiss	PROPN
easat-2687	152	12	applied	apply	VERB
easat-2687	152	13	science	science	NOUN
easat-2687	152	14	and	and	CCONJ
easat-2687	152	15	technology	technology	NOUN
easat-2687	152	16	issn	issn	PROPN
easat-2687	152	17	:	:	PUNCT
easat-2687	152	18	2576	2576	NUM
easat-2687	152	19	-	-	SYM
easat-2687	152	20	8484	8484	NUM
easat-2687	152	21	vol	vol	NOUN
easat-2687	152	22	.	.	PROPN
easat-2687	152	23	8	8	NUM
easat-2687	152	24	,	,	PUNCT
easat-2687	152	25	no	no	INTJ
easat-2687	152	26	.	.	NOUN
easat-2687	153	1	6	6	NUM
easat-2687	153	2	:	:	SYM
easat-2687	153	3	3230	3230	NUM
easat-2687	153	4	-	-	SYM
easat-2687	153	5	3247	3247	NUM
easat-2687	153	6	,	,	PUNCT
easat-2687	153	7	2024	2024	NUM
easat-2687	153	8	doi	doi	NOUN
easat-2687	153	9	:	:	PUNCT
easat-2687	153	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	153	11	©	©	NOUN
easat-2687	153	12	2024	2024	NUM
easat-2687	153	13	by	by	ADP
easat-2687	153	14	the	the	DET
easat-2687	153	15	authors	author	NOUN
easat-2687	153	16	;	;	PUNCT
easat-2687	153	17	licensee	licensee	PROPN
easat-2687	153	18	learning	learn	VERB
easat-2687	153	19	gate	gate	PROPN
easat-2687	153	20	subject	subject	PROPN
easat-2687	153	21	ro	ro	PROPN
easat-2687	153	22	’s	’s	PART
easat-2687	153	23	approach	approach	NOUN
easat-2687	153	24	to	to	ADP
easat-2687	153	25	solving	solve	VERB
easat-2687	153	26	the	the	DET
easat-2687	153	27	absolute	absolute	ADJ
easat-2687	153	28	value	value	NOUN
easat-2687	153	29	inequality	inequality	NOUN
easat-2687	153	30	task	task	NOUN
easat-2687	153	31	is	be	AUX
easat-2687	153	32	by	by	ADP
easat-2687	153	33	using	use	VERB
easat-2687	153	34	the	the	DET
easat-2687	153	35	property	property	NOUN
easat-2687	153	36	|𝑥|	|𝑥|	ADV
easat-2687	153	37	<	<	X
easat-2687	153	38	𝑎.	𝑎.	PROPN
easat-2687	153	39	below	below	ADV
easat-2687	153	40	is	be	AUX
easat-2687	153	41	the	the	DET
easat-2687	153	42	process	process	NOUN
easat-2687	153	43	conducted	conduct	VERB
easat-2687	153	44	by	by	ADP
easat-2687	153	45	subject	subject	NOUN
easat-2687	153	46	ro	ro	PROPN
easat-2687	153	47	.	.	PROPN
easat-2687	153	48	figure	figure	NOUN
easat-2687	153	49	3	3	NUM
easat-2687	153	50	.	.	PUNCT
easat-2687	153	51	answer	answer	NOUN
easat-2687	153	52	by	by	ADP
easat-2687	153	53	subject	subject	NOUN
easat-2687	153	54	ro	ro	PROPN
easat-2687	153	55	.	.	PROPN
easat-2687	153	56	to	to	PART
easat-2687	153	57	gather	gather	VERB
easat-2687	153	58	information	information	NOUN
easat-2687	153	59	about	about	ADP
easat-2687	153	60	the	the	DET
easat-2687	153	61	subject	subject	NOUN
easat-2687	153	62	’s	’s	PART
easat-2687	153	63	idea	idea	NOUN
easat-2687	153	64	in	in	ADP
easat-2687	153	65	solving	solve	VERB
easat-2687	153	66	the	the	DET
easat-2687	153	67	task	task	NOUN
easat-2687	153	68	,	,	PUNCT
easat-2687	153	69	an	an	DET
easat-2687	153	70	interview	interview	NOUN
easat-2687	153	71	was	be	AUX
easat-2687	153	72	conducted	conduct	VERB
easat-2687	153	73	,	,	PUNCT
easat-2687	153	74	as	as	SCONJ
easat-2687	153	75	shown	show	VERB
easat-2687	153	76	in	in	ADP
easat-2687	153	77	table	table	NOUN
easat-2687	153	78	5	5	NUM
easat-2687	153	79	.	.	PUNCT
easat-2687	153	80	table	table	NOUN
easat-2687	153	81	5	5	NUM
easat-2687	153	82	.	.	PUNCT
easat-2687	154	1	discussion	discussion	NOUN
easat-2687	154	2	transcripts	transcript	NOUN
easat-2687	154	3	subject	subject	PROPN
easat-2687	154	4	ro	ro	PROPN
easat-2687	154	5	.	.	PROPN
easat-2687	155	1	interview	interview	NOUN
easat-2687	155	2	discussion	discussion	NOUN
easat-2687	155	3	ro	ro	VERB
easat-2687	155	4	to	to	PART
easat-2687	155	5	solve	solve	VERB
easat-2687	155	6	this	this	DET
easat-2687	155	7	problem	problem	NOUN
easat-2687	155	8	,	,	PUNCT
easat-2687	155	9	i	i	PRON
easat-2687	155	10	used	use	VERB
easat-2687	155	11	the	the	DET
easat-2687	155	12	property	property	NOUN
easat-2687	155	13	of	of	ADP
easat-2687	155	14	absolute	absolute	ADJ
easat-2687	155	15	value	value	NOUN
easat-2687	155	16	inequalities	inequality	NOUN
easat-2687	155	17	|𝑥|	|𝑥|	VERB
easat-2687	155	18	<	<	X
easat-2687	155	19	𝑎	𝑎	DET
easat-2687	155	20	researcher	researcher	NOUN
easat-2687	155	21	how	how	SCONJ
easat-2687	155	22	did	do	AUX
easat-2687	155	23	you	you	PRON
easat-2687	155	24	do	do	VERB
easat-2687	155	25	it	it	PRON
easat-2687	155	26	?	?	PUNCT
easat-2687	156	1	ro	ro	INTJ
easat-2687	156	2	by	by	ADP
easat-2687	156	3	removing	remove	VERB
easat-2687	156	4	the	the	DET
easat-2687	156	5	absolute	absolute	ADJ
easat-2687	156	6	value	value	NOUN
easat-2687	156	7	sign	sign	NOUN
easat-2687	156	8	,	,	PUNCT
easat-2687	156	9	it	it	PRON
easat-2687	156	10	becomes	become	VERB
easat-2687	156	11	−𝑎	−𝑎	NOUN
easat-2687	156	12	<	<	X
easat-2687	156	13	𝑥	𝑥	X
easat-2687	156	14	<	<	X
easat-2687	156	15	𝑎	𝑎	X
easat-2687	156	16	(	(	PUNCT
easat-2687	156	17	sm4361a	sm4361a	NUM
easat-2687	156	18	)	)	PUNCT
easat-2687	156	19	researcher	researcher	NOUN
easat-2687	156	20	why	why	SCONJ
easat-2687	156	21	did	do	AUX
easat-2687	156	22	it	it	PRON
easat-2687	156	23	become	become	VERB
easat-2687	156	24	[	[	X
easat-2687	156	25	sm4361b	sm4361b	X
easat-2687	156	26	]	]	X
easat-2687	156	27	?	?	PUNCT
easat-2687	157	1	ro	ro	PROPN
easat-2687	158	1	|𝑥	|𝑥	PROPN
easat-2687	158	2	−	−	PROPN
easat-2687	158	3	3|	3|	NUM
easat-2687	158	4	and	and	CCONJ
easat-2687	158	5	|𝑥	|𝑥	NOUN
easat-2687	158	6	−	−	PROPN
easat-2687	158	7	2|	2|	PRON
easat-2687	158	8	are	be	AUX
easat-2687	158	9	positive	positive	ADJ
easat-2687	158	10	.	.	PUNCT
easat-2687	159	1	then	then	ADV
easat-2687	159	2	i	i	PRON
easat-2687	159	3	performed	perform	VERB
easat-2687	159	4	algebraic	algebraic	ADJ
easat-2687	159	5	operations	operation	NOUN
easat-2687	159	6	by	by	ADP
easat-2687	159	7	grouping	group	VERB
easat-2687	159	8	like	like	ADP
easat-2687	159	9	terms	term	NOUN
easat-2687	159	10	.	.	PUNCT
easat-2687	160	1	next	next	ADV
easat-2687	160	2	,	,	PUNCT
easat-2687	160	3	i	i	PRON
easat-2687	160	4	solved	solve	VERB
easat-2687	160	5	for	for	ADP
easat-2687	160	6	x	x	X
easat-2687	160	7	,	,	PUNCT
easat-2687	160	8	which	which	PRON
easat-2687	160	9	is	be	AUX
easat-2687	160	10	the	the	DET
easat-2687	160	11	solution	solution	NOUN
easat-2687	160	12	to	to	ADP
easat-2687	160	13	the	the	DET
easat-2687	160	14	inequality	inequality	NOUN
easat-2687	160	15	of	of	ADP
easat-2687	160	16	the	the	DET
easat-2687	160	17	value	value	NOUN
easat-2687	160	18	that	that	PRON
easat-2687	160	19	fulfills	fulfill	VERB
easat-2687	160	20	the	the	DET
easat-2687	160	21	inequality	inequality	NOUN
easat-2687	160	22	.	.	PUNCT
easat-2687	161	1	after	after	ADP
easat-2687	161	2	that	that	PRON
easat-2687	161	3	,	,	PUNCT
easat-2687	161	4	i	i	PRON
easat-2687	161	5	wrote	write	VERB
easat-2687	161	6	down	down	ADP
easat-2687	161	7	the	the	DET
easat-2687	161	8	range	range	NOUN
easat-2687	161	9	of	of	ADP
easat-2687	161	10	the	the	DET
easat-2687	161	11	solution	solution	NOUN
easat-2687	161	12	set	set	VERB
easat-2687	161	13	and	and	CCONJ
easat-2687	161	14	the	the	DET
easat-2687	161	15	inequality	inequality	NOUN
easat-2687	161	16	in	in	ADP
easat-2687	161	17	its	its	PRON
easat-2687	161	18	form	form	NOUN
easat-2687	161	19	without	without	ADP
easat-2687	161	20	absolute	absolute	ADJ
easat-2687	161	21	values	value	NOUN
easat-2687	161	22	.	.	PUNCT
easat-2687	162	1	finally	finally	ADV
easat-2687	162	2	,	,	PUNCT
easat-2687	162	3	i	i	PRON
easat-2687	162	4	drew	draw	VERB
easat-2687	162	5	the	the	DET
easat-2687	162	6	graph	graph	NOUN
easat-2687	162	7	of	of	ADP
easat-2687	162	8	the	the	DET
easat-2687	162	9	solution	solution	NOUN
easat-2687	162	10	.	.	PUNCT
easat-2687	163	1	subject	subject	NOUN
easat-2687	163	2	ro	ro	PROPN
easat-2687	163	3	used	use	VERB
easat-2687	163	4	the	the	DET
easat-2687	163	5	property	property	NOUN
easat-2687	163	6	of	of	ADP
easat-2687	163	7	absolute	absolute	ADJ
easat-2687	163	8	value	value	NOUN
easat-2687	163	9	inequalities	inequality	NOUN
easat-2687	163	10	|𝑥|	|𝑥|	ADV
easat-2687	163	11	<	<	X
easat-2687	163	12	𝑎.	𝑎.	PROPN
easat-2687	163	13	however	however	ADV
easat-2687	163	14	,	,	PUNCT
easat-2687	163	15	in	in	ADP
easat-2687	163	16	code	code	NOUN
easat-2687	163	17	(	(	PUNCT
easat-2687	163	18	sm4361b	sm4361b	PROPN
easat-2687	163	19	)	)	PUNCT
easat-2687	163	20	,	,	PUNCT
easat-2687	163	21	the	the	DET
easat-2687	163	22	absolute	absolute	ADJ
easat-2687	163	23	value	value	NOUN
easat-2687	163	24	signs	sign	NOUN
easat-2687	163	25	were	be	AUX
easat-2687	163	26	removed	remove	VERB
easat-2687	163	27	without	without	ADP
easat-2687	163	28	showing	show	VERB
easat-2687	163	29	the	the	DET
easat-2687	163	30	process	process	NOUN
easat-2687	163	31	.	.	PUNCT
easat-2687	164	1	based	base	VERB
easat-2687	164	2	on	on	ADP
easat-2687	164	3	the	the	DET
easat-2687	164	4	interview	interview	NOUN
easat-2687	164	5	in	in	ADP
easat-2687	164	6	table	table	NOUN
easat-2687	164	7	5	5	NUM
easat-2687	164	8	,	,	PUNCT
easat-2687	164	9	3238	3238	NUM
easat-2687	164	10	edelweiss	edelweiss	PROPN
easat-2687	164	11	applied	apply	VERB
easat-2687	164	12	science	science	NOUN
easat-2687	164	13	and	and	CCONJ
easat-2687	164	14	technology	technology	NOUN
easat-2687	164	15	issn	issn	PROPN
easat-2687	164	16	:	:	PUNCT
easat-2687	164	17	2576	2576	NUM
easat-2687	164	18	-	-	SYM
easat-2687	164	19	8484	8484	NUM
easat-2687	164	20	vol	vol	NOUN
easat-2687	164	21	.	.	PROPN
easat-2687	164	22	8	8	NUM
easat-2687	164	23	,	,	PUNCT
easat-2687	164	24	no	no	INTJ
easat-2687	164	25	.	.	NOUN
easat-2687	165	1	6	6	NUM
easat-2687	165	2	:	:	SYM
easat-2687	165	3	3230	3230	NUM
easat-2687	165	4	-	-	SYM
easat-2687	165	5	3247	3247	NUM
easat-2687	165	6	,	,	PUNCT
easat-2687	165	7	2024	2024	NUM
easat-2687	165	8	doi	doi	NOUN
easat-2687	165	9	:	:	PUNCT
easat-2687	165	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	165	11	©	©	NOUN
easat-2687	165	12	2024	2024	NUM
easat-2687	165	13	by	by	ADP
easat-2687	165	14	the	the	DET
easat-2687	165	15	authors	author	NOUN
easat-2687	165	16	;	;	PUNCT
easat-2687	165	17	licensee	licensee	PROPN
easat-2687	165	18	learning	learning	PROPN
easat-2687	165	19	gate	gate	PROPN
easat-2687	165	20	ro	ro	PROPN
easat-2687	165	21	explained	explain	VERB
easat-2687	165	22	that	that	SCONJ
easat-2687	165	23	absolute	absolute	ADJ
easat-2687	165	24	values	value	NOUN
easat-2687	165	25	are	be	AUX
easat-2687	165	26	always	always	ADV
easat-2687	165	27	positive	positive	ADJ
easat-2687	165	28	.	.	PUNCT
easat-2687	166	1	ro	ro	NOUN
easat-2687	166	2	and	and	CCONJ
easat-2687	166	3	che	che	PROPN
easat-2687	166	4	share	share	VERB
easat-2687	166	5	the	the	DET
easat-2687	166	6	same	same	ADJ
easat-2687	166	7	narrative	narrative	NOUN
easat-2687	166	8	in	in	ADP
easat-2687	166	9	this	this	DET
easat-2687	166	10	regard	regard	NOUN
easat-2687	166	11	,	,	PUNCT
easat-2687	166	12	relying	rely	VERB
easat-2687	166	13	on	on	ADP
easat-2687	166	14	the	the	DET
easat-2687	166	15	definition	definition	NOUN
easat-2687	166	16	of	of	ADP
easat-2687	166	17	absolute	absolute	ADJ
easat-2687	166	18	value	value	NOUN
easat-2687	166	19	.	.	PUNCT
easat-2687	167	1	however	however	ADV
easat-2687	167	2	,	,	PUNCT
easat-2687	167	3	neither	neither	PRON
easat-2687	167	4	of	of	ADP
easat-2687	167	5	them	they	PRON
easat-2687	167	6	paid	pay	VERB
easat-2687	167	7	attention	attention	NOUN
easat-2687	167	8	to	to	ADP
easat-2687	167	9	the	the	DET
easat-2687	167	10	addition	addition	NOUN
easat-2687	167	11	sign	sign	NOUN
easat-2687	167	12	between	between	ADP
easat-2687	167	13	the	the	DET
easat-2687	167	14	two	two	NUM
easat-2687	167	15	absolute	absolute	ADJ
easat-2687	167	16	values	value	NOUN
easat-2687	167	17	.	.	PUNCT
easat-2687	168	1	additionally	additionally	ADV
easat-2687	168	2	,	,	PUNCT
easat-2687	168	3	there	there	PRON
easat-2687	168	4	is	be	VERB
easat-2687	168	5	a	a	DET
easat-2687	168	6	difference	difference	NOUN
easat-2687	168	7	in	in	ADP
easat-2687	168	8	how	how	SCONJ
easat-2687	168	9	they	they	PRON
easat-2687	168	10	applied	apply	VERB
easat-2687	168	11	the	the	DET
easat-2687	168	12	inequality	inequality	NOUN
easat-2687	168	13	property	property	NOUN
easat-2687	168	14	of	of	ADP
easat-2687	168	15	−𝑎	−𝑎	NOUN
easat-2687	168	16	<	<	X
easat-2687	168	17	𝑥	𝑥	X
easat-2687	168	18	<	<	X
easat-2687	168	19	𝑎.	𝑎.	PROPN
easat-2687	168	20	che	che	PROPN
easat-2687	168	21	believed	believe	VERB
easat-2687	168	22	it	it	PRON
easat-2687	168	23	was	be	AUX
easat-2687	168	24	sufficient	sufficient	ADJ
easat-2687	168	25	to	to	PART
easat-2687	168	26	solve	solve	VERB
easat-2687	168	27	only	only	ADV
easat-2687	168	28	the	the	DET
easat-2687	168	29	right	right	ADJ
easat-2687	168	30	side	side	NOUN
easat-2687	168	31	of	of	ADP
easat-2687	168	32	the	the	DET
easat-2687	168	33	inequality	inequality	NOUN
easat-2687	168	34	.	.	PUNCT
easat-2687	169	1	on	on	ADP
easat-2687	169	2	the	the	DET
easat-2687	169	3	other	other	ADJ
easat-2687	169	4	hand	hand	NOUN
easat-2687	169	5	,	,	PUNCT
easat-2687	169	6	ro	ro	PROPN
easat-2687	169	7	worked	work	VERB
easat-2687	169	8	on	on	ADP
easat-2687	169	9	both	both	DET
easat-2687	169	10	sides	side	NOUN
easat-2687	169	11	.	.	PUNCT
easat-2687	170	1	nevertheless	nevertheless	ADV
easat-2687	170	2	,	,	PUNCT
easat-2687	170	3	both	both	PRON
easat-2687	170	4	agreed	agree	VERB
easat-2687	170	5	that	that	SCONJ
easat-2687	170	6	the	the	DET
easat-2687	170	7	absolute	absolute	ADJ
easat-2687	170	8	value	value	NOUN
easat-2687	170	9	is	be	AUX
easat-2687	170	10	always	always	ADV
easat-2687	170	11	positive	positive	ADJ
easat-2687	170	12	.	.	PUNCT
easat-2687	171	1	4.3	4.3	NUM
easat-2687	171	2	.	.	NOUN
easat-2687	172	1	four	four	NUM
easat-2687	172	2	possible	possible	ADJ
easat-2687	172	3	solutions	solution	NOUN
easat-2687	172	4	the	the	DET
easat-2687	172	5	discourse	discourse	NOUN
easat-2687	172	6	from	from	ADP
easat-2687	172	7	subjects	subject	NOUN
easat-2687	172	8	who	who	PRON
easat-2687	172	9	suggested	suggest	VERB
easat-2687	172	10	the	the	DET
easat-2687	172	11	solution	solution	NOUN
easat-2687	172	12	based	base	VERB
easat-2687	172	13	on	on	ADP
easat-2687	172	14	four	four	NUM
easat-2687	172	15	possibilities	possibility	NOUN
easat-2687	172	16	is	be	AUX
easat-2687	172	17	coded	code	VERB
easat-2687	172	18	as	as	ADP
easat-2687	172	19	(	(	PUNCT
easat-2687	172	20	sm42	sm42	PROPN
easat-2687	172	21	,	,	PUNCT
easat-2687	172	22	sm44	sm44	PROPN
easat-2687	172	23	,	,	PUNCT
easat-2687	172	24	sm45	sm45	PROPN
easat-2687	172	25	,	,	PUNCT
easat-2687	172	26	sm46	sm46	PROPN
easat-2687	172	27	,	,	PUNCT
easat-2687	172	28	sm47	sm47	PROPN
easat-2687	172	29	,	,	PUNCT
easat-2687	172	30	sm62	sm62	PROPN
easat-2687	172	31	,	,	PUNCT
easat-2687	172	32	sm66	sm66	PROPN
easat-2687	172	33	)	)	PUNCT
easat-2687	172	34	,	,	PUNCT
easat-2687	172	35	while	while	SCONJ
easat-2687	172	36	two	two	NUM
easat-2687	172	37	possibilities	possibility	NOUN
easat-2687	172	38	are	be	AUX
easat-2687	172	39	coded	code	VERB
easat-2687	172	40	as	as	ADP
easat-2687	172	41	(	(	PUNCT
easat-2687	172	42	sm47	sm47	PROPN
easat-2687	172	43	)	)	PUNCT
easat-2687	172	44	.	.	PUNCT
easat-2687	173	1	two	two	NUM
easat-2687	173	2	students	student	NOUN
easat-2687	173	3	,	,	PUNCT
easat-2687	173	4	fel	fel	X
easat-2687	173	5	and	and	CCONJ
easat-2687	173	6	rat	rat	NOUN
easat-2687	173	7	,	,	PUNCT
easat-2687	173	8	were	be	AUX
easat-2687	173	9	selected	select	VERB
easat-2687	173	10	for	for	ADP
easat-2687	173	11	interview	interview	NOUN
easat-2687	173	12	.	.	PUNCT
easat-2687	174	1	their	their	PRON
easat-2687	174	2	responses	response	NOUN
easat-2687	174	3	are	be	AUX
easat-2687	174	4	shown	show	VERB
easat-2687	174	5	in	in	ADP
easat-2687	174	6	figure	figure	NOUN
easat-2687	174	7	4	4	NUM
easat-2687	174	8	and	and	CCONJ
easat-2687	174	9	figure	figure	VERB
easat-2687	174	10	5	5	NUM
easat-2687	174	11	.	.	PUNCT
easat-2687	174	12	figure	figure	VERB
easat-2687	174	13	4	4	NUM
easat-2687	174	14	.	.	PUNCT
easat-2687	174	15	answer	answer	NOUN
easat-2687	174	16	by	by	ADP
easat-2687	174	17	subject	subject	NOUN
easat-2687	174	18	fel	fel	X
easat-2687	174	19	.	.	PUNCT
easat-2687	174	20	table	table	NOUN
easat-2687	174	21	6	6	NUM
easat-2687	174	22	.	.	PUNCT
easat-2687	175	1	discussion	discussion	NOUN
easat-2687	175	2	transcripts	transcript	NOUN
easat-2687	175	3	subject	subject	PROPN
easat-2687	175	4	fel	fel	X
easat-2687	175	5	.	.	PUNCT
easat-2687	176	1	interview	interview	NOUN
easat-2687	176	2	discussion	discussion	NOUN
easat-2687	176	3	researcher	researcher	NOUN
easat-2687	176	4	do	do	AUX
easat-2687	176	5	you	you	PRON
easat-2687	176	6	understand	understand	VERB
easat-2687	176	7	the	the	DET
easat-2687	176	8	problem	problem	NOUN
easat-2687	176	9	?	?	PUNCT
easat-2687	177	1	fel	fel	VERB
easat-2687	177	2	yes	yes	INTJ
easat-2687	177	3	,	,	PUNCT
easat-2687	177	4	ma’am	ma’am	PROPN
easat-2687	177	5	.	.	PUNCT
easat-2687	178	1	researcher	researcher	NOUN
easat-2687	178	2	which	which	DET
easat-2687	178	3	four	four	NUM
easat-2687	178	4	possibilities	possibility	NOUN
easat-2687	178	5	are	be	AUX
easat-2687	178	6	you	you	PRON
easat-2687	178	7	referring	refer	VERB
easat-2687	178	8	to	to	ADP
easat-2687	178	9	?	?	PUNCT
easat-2687	179	1	fel	fel	VERB
easat-2687	179	2	this	this	DET
easat-2687	179	3	one	one	NOUN
easat-2687	179	4	,	,	PUNCT
easat-2687	179	5	ma’am	ma’am	NUM
easat-2687	179	6	(	(	PUNCT
easat-2687	179	7	points	point	NOUN
easat-2687	179	8	to	to	ADP
easat-2687	179	9	the	the	DET
easat-2687	179	10	marked	mark	VERB
easat-2687	179	11	sm4266c	sm4266c	PROPN
easat-2687	179	12	)	)	PUNCT
easat-2687	179	13	researcher	researcher	NOUN
easat-2687	179	14	do	do	AUX
easat-2687	179	15	you	you	PRON
easat-2687	179	16	mean	mean	VERB
easat-2687	179	17	−(𝑥	−(𝑥	NOUN
easat-2687	180	1	−	−	NOUN
easat-2687	180	2	3	3	NUM
easat-2687	180	3	)	)	PUNCT
easat-2687	180	4	+	+	CCONJ
easat-2687	180	5	𝑥	𝑥	X
easat-2687	181	1	+	+	NUM
easat-2687	181	2	2	2	NUM
easat-2687	181	3	<	<	X
easat-2687	181	4	11	11	NUM
easat-2687	181	5	,	,	PUNCT
easat-2687	181	6	𝑥	𝑥	PRON
easat-2687	181	7	−	−	PROPN
easat-2687	181	8	3	3	NUM
easat-2687	181	9	<	<	X
easat-2687	181	10	0	0	NUM
easat-2687	181	11	,	,	PUNCT
easat-2687	181	12	𝑥	𝑥	PROPN
easat-2687	181	13	+	+	NUM
easat-2687	181	14	2	2	NUM
easat-2687	181	15	≥	≥	NOUN
easat-2687	181	16	0	0	NUM
easat-2687	181	17	(	(	PUNCT
easat-2687	181	18	referring	refer	VERB
easat-2687	181	19	to	to	ADP
easat-2687	181	20	code	code	PROPN
easat-2687	181	21	sm4266c	sm4266c	PROPN
easat-2687	181	22	)	)	PUNCT
easat-2687	181	23	fel	fel	NOUN
easat-2687	181	24	yes	yes	INTJ
easat-2687	181	25	,	,	PUNCT
easat-2687	181	26	by	by	ADP
easat-2687	181	27	removing	remove	VERB
easat-2687	181	28	the	the	DET
easat-2687	181	29	absolute	absolute	ADJ
easat-2687	181	30	value	value	NOUN
easat-2687	181	31	of	of	ADP
easat-2687	181	32	x−3	x−3	PROPN
easat-2687	181	33	,	,	PUNCT
easat-2687	181	34	and	and	CCONJ
easat-2687	181	35	for	for	ADP
easat-2687	181	36	𝑥	𝑥	NOUN
easat-2687	181	37	−	−	PROPN
easat-2687	181	38	3	3	NUM
easat-2687	181	39	<	<	X
easat-2687	181	40	0	0	NUM
easat-2687	181	41	sm4266d	sm4266d	NOUN
easat-2687	181	42	sm4266e	sm4266e	PROPN
easat-2687	181	43	sm4266c	sm4266c	PROPN
easat-2687	181	44	3239	3239	NUM
easat-2687	181	45	edelweiss	edelweiss	PROPN
easat-2687	181	46	applied	apply	VERB
easat-2687	181	47	science	science	NOUN
easat-2687	181	48	and	and	CCONJ
easat-2687	181	49	technology	technology	NOUN
easat-2687	181	50	issn	issn	PROPN
easat-2687	181	51	:	:	PUNCT
easat-2687	181	52	2576	2576	NUM
easat-2687	181	53	-	-	SYM
easat-2687	181	54	8484	8484	NUM
easat-2687	181	55	vol	vol	NOUN
easat-2687	181	56	.	.	PROPN
easat-2687	181	57	8	8	NUM
easat-2687	181	58	,	,	PUNCT
easat-2687	181	59	no	no	INTJ
easat-2687	181	60	.	.	NOUN
easat-2687	182	1	6	6	NUM
easat-2687	182	2	:	:	SYM
easat-2687	182	3	3230	3230	NUM
easat-2687	182	4	-	-	SYM
easat-2687	182	5	3247	3247	NUM
easat-2687	182	6	,	,	PUNCT
easat-2687	182	7	2024	2024	NUM
easat-2687	182	8	doi	doi	NOUN
easat-2687	182	9	:	:	PUNCT
easat-2687	182	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	182	11	©	©	NOUN
easat-2687	182	12	2024	2024	NUM
easat-2687	182	13	by	by	ADP
easat-2687	182	14	the	the	DET
easat-2687	182	15	authors	author	NOUN
easat-2687	182	16	;	;	PUNCT
easat-2687	182	17	licensee	licensee	PROPN
easat-2687	182	18	learning	learning	NOUN
easat-2687	182	19	gate	gate	NOUN
easat-2687	182	20	can	can	AUX
easat-2687	182	21	be	be	AUX
easat-2687	182	22	written	write	VERB
easat-2687	182	23	as	as	ADP
easat-2687	182	24	–	–	PUNCT
easat-2687	182	25	(	(	PUNCT
easat-2687	182	26	𝑥	𝑥	NOUN
easat-2687	182	27	−	−	NOUN
easat-2687	182	28	3	3	NUM
easat-2687	182	29	)	)	PUNCT
easat-2687	182	30	.	.	PUNCT
easat-2687	183	1	the	the	DET
easat-2687	183	2	same	same	ADJ
easat-2687	183	3	applies	apply	VERB
easat-2687	183	4	to	to	ADP
easat-2687	183	5	the	the	DET
easat-2687	183	6	other	other	ADJ
easat-2687	183	7	terms	term	NOUN
easat-2687	183	8	,	,	PUNCT
easat-2687	183	9	ma’am	ma’am	NOUN
easat-2687	183	10	.	.	PUNCT
easat-2687	184	1	researcher	researcher	NOUN
easat-2687	184	2	why	why	SCONJ
easat-2687	184	3	did	do	AUX
easat-2687	184	4	you	you	PRON
easat-2687	184	5	write	write	VERB
easat-2687	184	6	the	the	DET
easat-2687	184	7	inequalities	inequality	NOUN
easat-2687	185	1	𝑥	𝑥	X
easat-2687	185	2	<	<	X
easat-2687	185	3	6	6	NUM
easat-2687	185	4	,	,	PUNCT
easat-2687	185	5	5	5	NUM
easat-2687	185	6	<	<	X
easat-2687	185	7	11	11	NUM
easat-2687	185	8	,	,	PUNCT
easat-2687	185	9	−	−	PROPN
easat-2687	185	10	5	5	NUM
easat-2687	185	11	<	<	X
easat-2687	185	12	11	11	NUM
easat-2687	185	13	,	,	PUNCT
easat-2687	185	14	𝑥	𝑥	PROPN
easat-2687	185	15	>	>	X
easat-2687	185	16	−5	−5	NOUN
easat-2687	185	17	?	?	PUNCT
easat-2687	186	1	fel	fel	VERB
easat-2687	186	2	to	to	PART
easat-2687	186	3	find	find	VERB
easat-2687	186	4	the	the	DET
easat-2687	186	5	value	value	NOUN
easat-2687	186	6	of	of	ADP
easat-2687	186	7	x	x	SYM
easat-2687	186	8	5	5	NUM
easat-2687	186	9	<	<	X
easat-2687	186	10	11	11	NUM
easat-2687	186	11	is	be	AUX
easat-2687	186	12	true	true	ADJ
easat-2687	186	13	for	for	ADP
easat-2687	186	14	all	all	DET
easat-2687	186	15	x	x	NOUN
easat-2687	186	16	)	)	PUNCT
easat-2687	186	17	.	.	PUNCT
easat-2687	187	1	similarly	similarly	ADV
easat-2687	187	2	,	,	PUNCT
easat-2687	187	3	−5	−5	ADP
easat-2687	187	4	<	<	X
easat-2687	187	5	11	11	NUM
easat-2687	187	6	is	be	AUX
easat-2687	187	7	true	true	ADJ
easat-2687	187	8	for	for	SCONJ
easat-2687	187	9	all	all	DET
easat-2687	187	10	x	x	ADJ
easat-2687	187	11	,	,	PUNCT
easat-2687	187	12	so	so	ADV
easat-2687	187	13	𝑥𝜖𝑅	𝑥𝜖𝑅	ADJ
easat-2687	187	14	researcher	researcher	NOUN
easat-2687	187	15	look	look	VERB
easat-2687	187	16	at	at	ADP
easat-2687	187	17	the	the	DET
easat-2687	187	18	graph	graph	NOUN
easat-2687	187	19	you	you	PRON
easat-2687	187	20	made	make	VERB
easat-2687	187	21	.	.	PUNCT
easat-2687	188	1	where	where	SCONJ
easat-2687	188	2	is	be	AUX
easat-2687	188	3	the	the	DET
easat-2687	188	4	region	region	NOUN
easat-2687	188	5	<	<	X
easat-2687	188	6	6	6	NUM
easat-2687	188	7	?	?	PUNCT
easat-2687	189	1	(	(	PUNCT
easat-2687	189	2	sm4266e	sm4266e	ADV
easat-2687	189	3	)	)	PUNCT
easat-2687	189	4	fel	fel	VERB
easat-2687	189	5	it	it	PRON
easat-2687	189	6	’s	’	VERB
easat-2687	189	7	in	in	ADP
easat-2687	189	8	the	the	DET
easat-2687	189	9	region	region	NOUN
easat-2687	189	10	𝑥	𝑥	X
easat-2687	189	11	∈	∈	PROPN
easat-2687	190	1	[	[	X
easat-2687	190	2	3	3	NUM
easat-2687	190	3	,	,	PUNCT
easat-2687	190	4	∞	∞	NUM
easat-2687	190	5	)	)	PUNCT
easat-2687	190	6	figure	figure	NOUN
easat-2687	190	7	5	5	NUM
easat-2687	190	8	.	.	PUNCT
easat-2687	191	1	answer	answer	NOUN
easat-2687	191	2	by	by	ADP
easat-2687	191	3	subject	subject	NOUN
easat-2687	191	4	rat	rat	PROPN
easat-2687	191	5	.	.	PROPN
easat-2687	191	6	table	table	NOUN
easat-2687	191	7	7	7	NUM
easat-2687	191	8	.	.	PUNCT
easat-2687	192	1	discussion	discussion	NOUN
easat-2687	192	2	transcripts	transcript	NOUN
easat-2687	192	3	subject	subject	PROPN
easat-2687	192	4	rat	rat	PROPN
easat-2687	192	5	.	.	PUNCT
easat-2687	193	1	interview	interview	NOUN
easat-2687	193	2	discussion	discussion	NOUN
easat-2687	193	3	researcher	researcher	NOUN
easat-2687	193	4	why	why	SCONJ
easat-2687	193	5	did	do	AUX
easat-2687	193	6	you	you	PRON
easat-2687	193	7	approach	approach	VERB
easat-2687	193	8	the	the	DET
easat-2687	193	9	inequality	inequality	NOUN
easat-2687	193	10	with	with	ADP
easat-2687	193	11	four	four	NUM
easat-2687	193	12	possibilities	possibility	NOUN
easat-2687	193	13	?	?	PUNCT
easat-2687	194	1	(	(	PUNCT
easat-2687	194	2	sm4266f	sm4266f	ADJ
easat-2687	194	3	)	)	PUNCT
easat-2687	194	4	rat	rat	NOUN
easat-2687	194	5	based	base	VERB
easat-2687	194	6	on	on	ADP
easat-2687	194	7	the	the	DET
easat-2687	194	8	properties	property	NOUN
easat-2687	194	9	of	of	ADP
easat-2687	194	10	absolute	absolute	ADJ
easat-2687	194	11	value	value	NOUN
easat-2687	194	12	,	,	PUNCT
easat-2687	194	13	ma’am	ma’am	PROPN
easat-2687	194	14	.	.	PUNCT
easat-2687	195	1	researcher	researcher	NOUN
easat-2687	195	2	what	what	PRON
easat-2687	195	3	is	be	AUX
easat-2687	195	4	that	that	DET
easat-2687	195	5	property	property	NOUN
easat-2687	195	6	?	?	PUNCT
easat-2687	196	1	rat	rat	NOUN
easat-2687	196	2	|𝑥|	|𝑥|	ADJ
easat-2687	196	3	=	=	PUNCT
easat-2687	196	4	{	{	PUNCT
easat-2687	196	5	𝑥	𝑥	NOUN
easat-2687	196	6	,	,	PUNCT
easat-2687	196	7	𝑥	𝑥	PROPN
easat-2687	196	8	≥	≥	NOUN
easat-2687	196	9	0	0	NUM
easat-2687	196	10	−𝑥	−𝑥	NOUN
easat-2687	196	11	,	,	PUNCT
easat-2687	196	12	𝑥	𝑥	PRON
easat-2687	196	13	<	<	X
easat-2687	196	14	0	0	NUM
easat-2687	196	15	researcher	researcher	NOUN
easat-2687	196	16	can	can	AUX
easat-2687	196	17	you	you	PRON
easat-2687	196	18	explain	explain	VERB
easat-2687	196	19	this	this	DET
easat-2687	196	20	graph	graph	NOUN
easat-2687	196	21	?	?	PUNCT
easat-2687	197	1	(	(	PUNCT
easat-2687	197	2	referring	refer	VERB
easat-2687	197	3	to	to	ADP
easat-2687	197	4	sm4266	sm4266	PROPN
easat-2687	197	5	g	g	NOUN
easat-2687	197	6	)	)	PUNCT
easat-2687	197	7	rat	rat	NOUN
easat-2687	197	8	the	the	DET
easat-2687	197	9	graph	graph	NOUN
easat-2687	197	10	divides	divide	VERB
easat-2687	197	11	the	the	DET
easat-2687	197	12	regions	region	NOUN
easat-2687	197	13	into	into	ADP
easat-2687	197	14	three	three	NUM
easat-2687	197	15	:	:	PUNCT
easat-2687	197	16	𝑥	𝑥	X
easat-2687	197	17	<	<	X
easat-2687	197	18	2	2	NUM
easat-2687	197	19	,	,	PUNCT
easat-2687	197	20	2	2	NUM
easat-2687	197	21	<	<	X
easat-2687	197	22	𝑥	𝑥	X
easat-2687	197	23	<	<	X
easat-2687	197	24	3	3	NUM
easat-2687	197	25	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
easat-2687	197	26	𝑥	𝑥	PROPN
easat-2687	197	27	≥	≥	NUM
easat-2687	197	28	4	4	NUM
easat-2687	197	29	peneliti	peneliti	NOUN
easat-2687	197	30	explain	explain	VERB
easat-2687	197	31	your	your	PRON
easat-2687	197	32	reasoning	reasoning	NOUN
easat-2687	197	33	.	.	PUNCT
easat-2687	198	1	3240	3240	NUM
easat-2687	198	2	edelweiss	edelweiss	PROPN
easat-2687	198	3	applied	apply	VERB
easat-2687	198	4	science	science	NOUN
easat-2687	198	5	and	and	CCONJ
easat-2687	198	6	technology	technology	NOUN
easat-2687	198	7	issn	issn	PROPN
easat-2687	198	8	:	:	PUNCT
easat-2687	198	9	2576	2576	NUM
easat-2687	198	10	-	-	SYM
easat-2687	198	11	8484	8484	NUM
easat-2687	198	12	vol	vol	NOUN
easat-2687	198	13	.	.	PROPN
easat-2687	198	14	8	8	NUM
easat-2687	198	15	,	,	PUNCT
easat-2687	198	16	no	no	INTJ
easat-2687	198	17	.	.	NOUN
easat-2687	199	1	6	6	NUM
easat-2687	199	2	:	:	SYM
easat-2687	199	3	3230	3230	NUM
easat-2687	199	4	-	-	SYM
easat-2687	199	5	3247	3247	NUM
easat-2687	199	6	,	,	PUNCT
easat-2687	199	7	2024	2024	NUM
easat-2687	199	8	doi	doi	NOUN
easat-2687	199	9	:	:	PUNCT
easat-2687	199	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	199	11	©	©	NOUN
easat-2687	199	12	2024	2024	NUM
easat-2687	199	13	by	by	ADP
easat-2687	199	14	the	the	DET
easat-2687	199	15	authors	author	NOUN
easat-2687	199	16	;	;	PUNCT
easat-2687	199	17	licensee	licensee	PROPN
easat-2687	199	18	learning	learning	NOUN
easat-2687	199	19	gate	gate	NOUN
easat-2687	199	20	rat	rat	NOUN
easat-2687	199	21	points	point	NOUN
easat-2687	199	22	2	2	NUM
easat-2687	199	23	and	and	CCONJ
easat-2687	199	24	3	3	NUM
easat-2687	199	25	are	be	AUX
easat-2687	199	26	determined	determine	VERB
easat-2687	199	27	by	by	ADP
easat-2687	199	28	the	the	DET
easat-2687	199	29	limits	limit	NOUN
easat-2687	199	30	of	of	ADP
easat-2687	199	31	x	x	PUNCT
easat-2687	199	32	from	from	ADP
easat-2687	199	33	the	the	DET
easat-2687	199	34	four	four	NUM
easat-2687	199	35	possibilities	possibility	NOUN
easat-2687	199	36	.	.	PUNCT
easat-2687	200	1	𝑥	𝑥	X
easat-2687	200	2	<	<	X
easat-2687	200	3	2	2	NUM
easat-2687	200	4	is	be	AUX
easat-2687	200	5	from	from	ADP
easat-2687	200	6	the	the	DET
easat-2687	200	7	fourth	fourth	ADJ
easat-2687	200	8	possibility	possibility	NOUN
easat-2687	200	9	.	.	PUNCT
easat-2687	201	1	2	2	NUM
easat-2687	201	2	<	<	X
easat-2687	201	3	𝑥	𝑥	X
easat-2687	201	4	<	<	X
easat-2687	201	5	3	3	NUM
easat-2687	201	6	because	because	SCONJ
easat-2687	201	7	of	of	ADP
easat-2687	201	8	the	the	DET
easat-2687	201	9	boundary	boundary	NOUN
easat-2687	201	10	for	for	SCONJ
easat-2687	201	11	x	x	SYM
easat-2687	201	12	i	i	PRON
easat-2687	201	13	’m	’m	VERB
easat-2687	201	14	not	not	PART
easat-2687	201	15	sure	sure	ADJ
easat-2687	201	16	about	about	ADP
easat-2687	201	17	𝑥	𝑥	PRON
easat-2687	201	18	≥	≥	NUM
easat-2687	201	19	4	4	NUM
easat-2687	201	20	,	,	PUNCT
easat-2687	201	21	but	but	CCONJ
easat-2687	201	22	i	i	PRON
easat-2687	201	23	think	think	VERB
easat-2687	201	24	it	it	PRON
easat-2687	201	25	’s	’	VERB
easat-2687	202	1	because	because	SCONJ
easat-2687	202	2	𝑥	𝑥	PROPN
easat-2687	202	3	≥	≥	NUM
easat-2687	202	4	3	3	NUM
easat-2687	202	5	.	.	PUNCT
easat-2687	202	6	researcher	researcher	NOUN
easat-2687	202	7	why	why	SCONJ
easat-2687	202	8	did	do	AUX
easat-2687	202	9	you	you	PRON
easat-2687	202	10	test	test	VERB
easat-2687	202	11	𝑥	𝑥	PROPN
easat-2687	202	12	<	<	X
easat-2687	202	13	2	2	NUM
easat-2687	202	14	and	and	CCONJ
easat-2687	202	15	𝑥	𝑥	X
easat-2687	202	16	<	<	X
easat-2687	202	17	3	3	NUM
easat-2687	202	18	?	?	PUNCT
easat-2687	202	19	(	(	PUNCT
easat-2687	202	20	referring	refer	VERB
easat-2687	202	21	to	to	ADP
easat-2687	202	22	sm4266h	sm4266h	PROPN
easat-2687	202	23	and	and	CCONJ
easat-2687	202	24	sm4266i	sm4266i	PROPN
easat-2687	202	25	)	)	PUNCT
easat-2687	202	26	rat	rat	NOUN
easat-2687	202	27	based	base	VERB
easat-2687	202	28	on	on	ADP
easat-2687	202	29	points	point	NOUN
easat-2687	202	30	2	2	NUM
easat-2687	202	31	and	and	CCONJ
easat-2687	202	32	3	3	NUM
easat-2687	202	33	.	.	X
easat-2687	203	1	researcher	researcher	NOUN
easat-2687	203	2	you	you	PRON
easat-2687	203	3	turned	turn	VERB
easat-2687	203	4	it	it	PRON
easat-2687	203	5	into	into	ADP
easat-2687	203	6	an	an	DET
easat-2687	203	7	equation	equation	NOUN
easat-2687	203	8	,	,	PUNCT
easat-2687	203	9	can	can	AUX
easat-2687	203	10	you	you	PRON
easat-2687	203	11	explain	explain	VERB
easat-2687	203	12	why	why	SCONJ
easat-2687	203	13	?	?	PUNCT
easat-2687	203	14	.	.	PUNCT
easat-2687	204	1	rat	rat	NOUN
easat-2687	204	2	to	to	PART
easat-2687	204	3	find	find	VERB
easat-2687	204	4	the	the	DET
easat-2687	204	5	value	value	NOUN
easat-2687	204	6	of	of	ADP
easat-2687	204	7	x	x	PROPN
easat-2687	204	8	,	,	PUNCT
easat-2687	204	9	ma’am	ma’am	PROPN
easat-2687	204	10	.	.	PUNCT
easat-2687	205	1	according	accord	VERB
easat-2687	205	2	to	to	ADP
easat-2687	205	3	fel	fel	PROPN
easat-2687	205	4	,	,	PUNCT
easat-2687	205	5	there	there	PRON
easat-2687	205	6	are	be	VERB
easat-2687	205	7	four	four	NUM
easat-2687	205	8	boundary	boundary	ADJ
easat-2687	205	9	intervals	interval	NOUN
easat-2687	205	10	,	,	PUNCT
easat-2687	205	11	which	which	PRON
easat-2687	205	12	imply	imply	VERB
easat-2687	205	13	four	four	NUM
easat-2687	205	14	possible	possible	ADJ
easat-2687	205	15	solution	solution	NOUN
easat-2687	205	16	sets	set	NOUN
easat-2687	205	17	for	for	ADP
easat-2687	205	18	the	the	DET
easat-2687	205	19	inequality	inequality	NOUN
easat-2687	205	20	.	.	PUNCT
easat-2687	206	1	in	in	ADP
easat-2687	206	2	contrast	contrast	NOUN
easat-2687	206	3	,	,	PUNCT
easat-2687	206	4	subject	subject	ADJ
easat-2687	206	5	rat	rat	NOUN
easat-2687	206	6	also	also	ADV
easat-2687	206	7	wrote	write	VERB
easat-2687	206	8	four	four	NUM
easat-2687	206	9	intervals	interval	NOUN
easat-2687	206	10	but	but	CCONJ
easat-2687	206	11	divided	divide	VERB
easat-2687	206	12	the	the	DET
easat-2687	206	13	number	number	NOUN
easat-2687	206	14	line	line	NOUN
easat-2687	206	15	into	into	ADP
easat-2687	206	16	three	three	NUM
easat-2687	206	17	regions	region	NOUN
easat-2687	206	18	to	to	PART
easat-2687	206	19	determine	determine	VERB
easat-2687	206	20	the	the	DET
easat-2687	206	21	solution	solution	NOUN
easat-2687	206	22	set	set	VERB
easat-2687	206	23	for	for	ADP
easat-2687	206	24	the	the	DET
easat-2687	206	25	absolute	absolute	ADJ
easat-2687	206	26	value	value	NOUN
easat-2687	206	27	inequality	inequality	NOUN
easat-2687	206	28	.	.	PUNCT
easat-2687	207	1	there	there	PRON
easat-2687	207	2	is	be	VERB
easat-2687	207	3	a	a	DET
easat-2687	207	4	noticeable	noticeable	ADJ
easat-2687	207	5	difference	difference	NOUN
easat-2687	207	6	in	in	ADP
easat-2687	207	7	the	the	DET
easat-2687	207	8	narratives	narrative	NOUN
easat-2687	207	9	regarding	regard	VERB
easat-2687	207	10	the	the	DET
easat-2687	207	11	domain	domain	NOUN
easat-2687	207	12	of	of	ADP
easat-2687	207	13	absolute	absolute	ADJ
easat-2687	207	14	values	value	NOUN
easat-2687	207	15	.	.	PUNCT
easat-2687	208	1	both	both	DET
easat-2687	208	2	students	student	NOUN
easat-2687	208	3	struggled	struggle	VERB
easat-2687	208	4	to	to	PART
easat-2687	208	5	fully	fully	ADV
easat-2687	208	6	understand	understand	VERB
easat-2687	208	7	the	the	DET
easat-2687	208	8	use	use	NOUN
easat-2687	208	9	of	of	ADP
easat-2687	208	10	boundaries	boundary	NOUN
easat-2687	208	11	,	,	PUNCT
easat-2687	208	12	despite	despite	SCONJ
easat-2687	208	13	having	having	AUX
easat-2687	208	14	written	write	VERB
easat-2687	208	15	them	they	PRON
easat-2687	208	16	down	down	ADP
easat-2687	208	17	.	.	PUNCT
easat-2687	209	1	it	it	PRON
easat-2687	209	2	is	be	AUX
easat-2687	209	3	evident	evident	ADJ
easat-2687	209	4	when	when	SCONJ
easat-2687	209	5	they	they	PRON
easat-2687	209	6	write	write	VERB
easat-2687	209	7	the	the	DET
easat-2687	209	8	interval	interval	NOUN
easat-2687	209	9	𝑥	𝑥	X
easat-2687	209	10	<	<	X
easat-2687	209	11	2	2	NUM
easat-2687	209	12	and	and	CCONJ
easat-2687	209	13	change	change	VERB
easat-2687	209	14	the	the	DET
easat-2687	209	15	inequality	inequality	NOUN
easat-2687	209	16	to	to	ADP
easat-2687	209	17	−𝑥	−𝑥	NOUN
easat-2687	209	18	+	+	CCONJ
easat-2687	209	19	3	3	NUM
easat-2687	209	20	+	+	CCONJ
easat-2687	209	21	(	(	PUNCT
easat-2687	209	22	−𝑥	−𝑥	NOUN
easat-2687	209	23	+	+	NOUN
easat-2687	209	24	2	2	X
easat-2687	209	25	)	)	PUNCT
easat-2687	209	26	=	=	NOUN
easat-2687	210	1	11	11	NUM
easat-2687	210	2	.	.	PUNCT
easat-2687	211	1	however	however	ADV
easat-2687	211	2	,	,	PUNCT
easat-2687	211	3	rat	rat	PROPN
easat-2687	211	4	was	be	AUX
easat-2687	211	5	unable	unable	ADJ
easat-2687	211	6	to	to	PART
easat-2687	211	7	complete	complete	VERB
easat-2687	211	8	the	the	DET
easat-2687	211	9	entire	entire	ADJ
easat-2687	211	10	process	process	NOUN
easat-2687	211	11	of	of	ADP
easat-2687	211	12	solving	solve	VERB
easat-2687	211	13	the	the	DET
easat-2687	211	14	task	task	NOUN
easat-2687	211	15	.	.	PUNCT
easat-2687	212	1	4.4	4.4	NUM
easat-2687	212	2	.	.	PUNCT
easat-2687	213	1	multiplying	multiply	VERB
easat-2687	213	2	1	1	NUM
easat-2687	213	3	and	and	CCONJ
easat-2687	213	4	-1	-1	ADV
easat-2687	213	5	into	into	ADP
easat-2687	213	6	the	the	DET
easat-2687	213	7	absolute	absolute	ADJ
easat-2687	213	8	value	value	NOUN
easat-2687	213	9	function	function	NOUN
easat-2687	213	10	subject	subject	PROPN
easat-2687	213	11	rif	rif	PROPN
easat-2687	213	12	stated	state	VERB
easat-2687	213	13	to	to	PART
easat-2687	213	14	solve	solve	VERB
easat-2687	213	15	absolute	absolute	ADJ
easat-2687	213	16	function	function	NOUN
easat-2687	213	17	inequalities	inequality	NOUN
easat-2687	213	18	,	,	PUNCT
easat-2687	213	19	we	we	PRON
easat-2687	213	20	first	first	ADV
easat-2687	213	21	multiply	multiply	VERB
easat-2687	213	22	the	the	DET
easat-2687	213	23	mediator	mediator	NOUN
easat-2687	213	24	in	in	ADP
easat-2687	213	25	the	the	DET
easat-2687	213	26	form	form	NOUN
easat-2687	213	27	of	of	ADP
easat-2687	213	28	numbers	number	NOUN
easat-2687	213	29	,	,	PUNCT
easat-2687	213	30	namely	namely	ADV
easat-2687	213	31	1	1	NUM
easat-2687	213	32	and	and	CCONJ
easat-2687	213	33	-1	-1	ADV
easat-2687	213	34	into	into	ADP
easat-2687	213	35	the	the	DET
easat-2687	213	36	absolute	absolute	ADJ
easat-2687	213	37	value	value	NOUN
easat-2687	213	38	function	function	NOUN
easat-2687	213	39	|𝑥	|𝑥	NOUN
easat-2687	213	40	−	−	PROPN
easat-2687	213	41	3|	3|	NUM
easat-2687	213	42	+	+	NUM
easat-2687	213	43	|𝑥	|𝑥	NOUN
easat-2687	214	1	+	+	X
easat-2687	214	2	2|	2|	X
easat-2687	214	3	<	<	X
easat-2687	214	4	11	11	NUM
easat-2687	214	5	(	(	PUNCT
easat-2687	214	6	sm63	sm63	PROPN
easat-2687	214	7	,	,	PUNCT
easat-2687	214	8	sm67	sm67	PROPN
easat-2687	214	9	)	)	PUNCT
easat-2687	214	10	.	.	PUNCT
easat-2687	215	1	figure	figure	VERB
easat-2687	215	2	6	6	NUM
easat-2687	215	3	.	.	PUNCT
easat-2687	216	1	answer	answer	NOUN
easat-2687	216	2	by	by	ADP
easat-2687	216	3	subject	subject	NOUN
easat-2687	216	4	rif	rif	PROPN
easat-2687	216	5	and	and	CCONJ
easat-2687	216	6	subject	subject	NOUN
easat-2687	216	7	nur	nur	PROPN
easat-2687	216	8	.	.	PUNCT
easat-2687	216	9	table	table	NOUN
easat-2687	216	10	8	8	NUM
easat-2687	216	11	.	.	PUNCT
easat-2687	217	1	discussion	discussion	NOUN
easat-2687	217	2	transcripts	transcript	NOUN
easat-2687	217	3	subject	subject	PROPN
easat-2687	217	4	rif	rif	PROPN
easat-2687	217	5	and	and	CCONJ
easat-2687	217	6	subject	subject	PROPN
easat-2687	217	7	nur	nur	PROPN
easat-2687	217	8	.	.	PUNCT
easat-2687	218	1	interview	interview	NOUN
easat-2687	218	2	discussion	discussion	NOUN
easat-2687	218	3	researcher	researcher	NOUN
easat-2687	218	4	what	what	DET
easat-2687	218	5	process	process	NOUN
easat-2687	218	6	did	do	AUX
easat-2687	218	7	you	you	PRON
easat-2687	218	8	need	need	VERB
easat-2687	218	9	to	to	PART
easat-2687	218	10	do	do	VERB
easat-2687	218	11	?	?	PUNCT
easat-2687	219	1	rif	rif	PROPN
easat-2687	220	1	first	first	ADV
easat-2687	220	2	,	,	PUNCT
easat-2687	220	3	i	i	PRON
easat-2687	220	4	multiplied	multiply	VERB
easat-2687	220	5	the	the	DET
easat-2687	220	6	inequalities	inequality	NOUN
easat-2687	220	7	by	by	ADP
easat-2687	220	8	1	1	NUM
easat-2687	220	9	and	and	CCONJ
easat-2687	220	10	-1	-1	ADP
easat-2687	220	11	researcher	researcher	NOUN
easat-2687	220	12	what	what	PRON
easat-2687	220	13	is	be	AUX
easat-2687	220	14	the	the	DET
easat-2687	220	15	reason	reason	NOUN
easat-2687	220	16	?	?	PUNCT
easat-2687	221	1	rif	rif	VERB
easat-2687	221	2	to	to	PART
easat-2687	221	3	remove	remove	VERB
easat-2687	221	4	the	the	DET
easat-2687	221	5	absolute	absolute	ADJ
easat-2687	221	6	sign	sign	NOUN
easat-2687	221	7	,	,	PUNCT
easat-2687	221	8	ma’am	ma’am	PROPN
easat-2687	221	9	.	.	PUNCT
easat-2687	222	1	nur	nur	PROPN
easat-2687	222	2	i	i	PRON
easat-2687	222	3	used	use	VERB
easat-2687	222	4	𝑥	𝑥	PROPN
easat-2687	222	5	>	>	PUNCT
easat-2687	222	6	0	0	PUNCT
easat-2687	222	7	and	and	CCONJ
easat-2687	222	8	𝑥	𝑥	X
easat-2687	222	9	<	<	X
easat-2687	222	10	0	0	NUM
easat-2687	222	11	researcher	researcher	NOUN
easat-2687	222	12	how	how	SCONJ
easat-2687	222	13	did	do	AUX
easat-2687	222	14	you	you	PRON
easat-2687	222	15	get	get	VERB
easat-2687	222	16	𝑥	𝑥	ADP
easat-2687	222	17	>	>	X
easat-2687	222	18	0	0	PUNCT
easat-2687	223	1	and	and	CCONJ
easat-2687	223	2	𝑥	𝑥	X
easat-2687	223	3	<	<	X
easat-2687	223	4	0	0	PUNCT
easat-2687	223	5	nur	nur	NOUN
easat-2687	223	6	by	by	ADP
easat-2687	223	7	using	use	VERB
easat-2687	223	8	the	the	DET
easat-2687	223	9	definition	definition	NOUN
easat-2687	223	10	of	of	ADP
easat-2687	223	11	absolute	absolute	ADJ
easat-2687	223	12	value	value	NOUN
easat-2687	223	13	,	,	PUNCT
easat-2687	223	14	ma’am	ma’am	NOUN
easat-2687	223	15	.	.	PUNCT
easat-2687	224	1	3241	3241	NUM
easat-2687	224	2	edelweiss	edelweiss	PROPN
easat-2687	224	3	applied	apply	VERB
easat-2687	224	4	science	science	NOUN
easat-2687	224	5	and	and	CCONJ
easat-2687	224	6	technology	technology	NOUN
easat-2687	224	7	issn	issn	PROPN
easat-2687	224	8	:	:	PUNCT
easat-2687	224	9	2576	2576	NUM
easat-2687	224	10	-	-	SYM
easat-2687	224	11	8484	8484	NUM
easat-2687	224	12	vol	vol	NOUN
easat-2687	224	13	.	.	PROPN
easat-2687	224	14	8	8	NUM
easat-2687	224	15	,	,	PUNCT
easat-2687	224	16	no	no	INTJ
easat-2687	224	17	.	.	NOUN
easat-2687	225	1	6	6	NUM
easat-2687	225	2	:	:	SYM
easat-2687	225	3	3230	3230	NUM
easat-2687	225	4	-	-	SYM
easat-2687	225	5	3247	3247	NUM
easat-2687	225	6	,	,	PUNCT
easat-2687	225	7	2024	2024	NUM
easat-2687	225	8	doi	doi	NOUN
easat-2687	225	9	:	:	PUNCT
easat-2687	225	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	225	11	©	©	NOUN
easat-2687	225	12	2024	2024	NUM
easat-2687	225	13	by	by	ADP
easat-2687	225	14	the	the	DET
easat-2687	225	15	authors	author	NOUN
easat-2687	225	16	;	;	PUNCT
easat-2687	225	17	licensee	licensee	PROPN
easat-2687	225	18	learning	learning	PROPN
easat-2687	225	19	gate	gate	PROPN
easat-2687	225	20	researcher	researcher	PROPN
easat-2687	225	21	next	next	ADV
easat-2687	225	22	,	,	PUNCT
easat-2687	225	23	what	what	PRON
easat-2687	225	24	did	do	AUX
easat-2687	225	25	you	you	PRON
easat-2687	225	26	do	do	VERB
easat-2687	225	27	?	?	PUNCT
easat-2687	226	1	rif	rif	PROPN
easat-2687	227	1	i	i	PRON
easat-2687	227	2	removed	remove	VERB
easat-2687	227	3	the	the	DET
easat-2687	227	4	absolute	absolute	ADJ
easat-2687	227	5	value	value	NOUN
easat-2687	227	6	symbol	symbol	NOUN
easat-2687	227	7	after	after	SCONJ
easat-2687	227	8	the	the	DET
easat-2687	227	9	inequality	inequality	NOUN
easat-2687	227	10	is	be	AUX
easat-2687	227	11	multiplied	multiply	VERB
easat-2687	227	12	by	by	ADP
easat-2687	227	13	1	1	NUM
easat-2687	227	14	and	and	CCONJ
easat-2687	227	15	-1	-1	INTJ
easat-2687	227	16	.	.	PUNCT
easat-2687	228	1	researcher	researcher	NOUN
easat-2687	228	2	are	be	AUX
easat-2687	228	3	you	you	PRON
easat-2687	228	4	sure	sure	ADJ
easat-2687	228	5	?	?	PUNCT
easat-2687	229	1	rif	rif	PROPN
easat-2687	230	1	yes	yes	INTJ
easat-2687	230	2	,	,	PUNCT
easat-2687	230	3	ma’am	ma’am	PROPN
easat-2687	230	4	.	.	PUNCT
easat-2687	231	1	researcher	researcher	NOUN
easat-2687	231	2	what	what	PRON
easat-2687	231	3	are	be	AUX
easat-2687	231	4	𝑥	𝑥	PRON
easat-2687	231	5	<	<	X
easat-2687	231	6	6	6	NUM
easat-2687	231	7	and	and	CCONJ
easat-2687	231	8	𝑥	𝑥	X
easat-2687	231	9	>	>	X
easat-2687	231	10	−5	−5	NOUN
easat-2687	231	11	for	for	ADP
easat-2687	231	12	?	?	PUNCT
easat-2687	232	1	rif	rif	PROPN
easat-2687	232	2	they	they	PRON
easat-2687	232	3	are	be	AUX
easat-2687	232	4	the	the	DET
easat-2687	232	5	final	final	ADJ
easat-2687	232	6	result	result	NOUN
easat-2687	232	7	,	,	PUNCT
easat-2687	232	8	ma’am	ma’am	PROPN
easat-2687	232	9	.	.	PUNCT
easat-2687	233	1	nur	nur	VERB
easat-2687	233	2	solution	solution	NOUN
easat-2687	233	3	set	set	NOUN
easat-2687	233	4	of	of	ADP
easat-2687	233	5	inequalities	inequality	NOUN
easat-2687	233	6	,	,	PUNCT
easat-2687	233	7	ma’am	ma’am	PROPN
easat-2687	233	8	.	.	PUNCT
easat-2687	234	1	researcher	researcher	NOUN
easat-2687	234	2	how	how	SCONJ
easat-2687	234	3	did	do	AUX
easat-2687	234	4	you	you	PRON
easat-2687	234	5	obtain	obtain	VERB
easat-2687	234	6	it	it	PRON
easat-2687	234	7	?	?	PUNCT
easat-2687	235	1	rif	rif	NOUN
easat-2687	235	2	solution	solution	NOUN
easat-2687	235	3	set	set	NOUN
easat-2687	235	4	of	of	ADP
easat-2687	235	5	inequalities	inequality	NOUN
easat-2687	235	6	is	be	AUX
easat-2687	235	7	the	the	DET
easat-2687	235	8	combination	combination	NOUN
easat-2687	235	9	of	of	ADP
easat-2687	235	10	two	two	NUM
easat-2687	235	11	inequalities	inequality	NOUN
easat-2687	235	12	.	.	PUNCT
easat-2687	236	1	the	the	DET
easat-2687	236	2	narratives	narrative	NOUN
easat-2687	236	3	presented	present	VERB
easat-2687	236	4	by	by	ADP
easat-2687	236	5	rif	rif	PROPN
easat-2687	236	6	and	and	CCONJ
easat-2687	236	7	nur	nur	VERB
easat-2687	236	8	differ	differ	VERB
easat-2687	236	9	when	when	SCONJ
easat-2687	236	10	they	they	PRON
easat-2687	236	11	removed	remove	VERB
easat-2687	236	12	the	the	DET
easat-2687	236	13	absolute	absolute	ADJ
easat-2687	236	14	value	value	NOUN
easat-2687	236	15	from	from	ADP
easat-2687	236	16	the	the	DET
easat-2687	236	17	inequality	inequality	NOUN
easat-2687	236	18	.	.	PUNCT
easat-2687	237	1	however	however	ADV
easat-2687	237	2	,	,	PUNCT
easat-2687	237	3	they	they	PRON
easat-2687	237	4	claimed	claim	VERB
easat-2687	237	5	to	to	PART
easat-2687	237	6	have	have	AUX
easat-2687	237	7	used	use	VERB
easat-2687	237	8	the	the	DET
easat-2687	237	9	definition	definition	NOUN
easat-2687	237	10	of	of	ADP
easat-2687	237	11	absolute	absolute	ADJ
easat-2687	237	12	value	value	NOUN
easat-2687	237	13	in	in	ADP
easat-2687	237	14	inequalities	inequality	NOUN
easat-2687	237	15	.	.	PUNCT
easat-2687	238	1	subject	subject	PROPN
easat-2687	238	2	rif	rif	PROPN
easat-2687	238	3	stated	state	VERB
easat-2687	238	4	that	that	SCONJ
easat-2687	238	5	to	to	PART
easat-2687	238	6	remove	remove	VERB
easat-2687	238	7	the	the	DET
easat-2687	238	8	absolute	absolute	ADJ
easat-2687	238	9	sign	sign	NOUN
easat-2687	238	10	in	in	ADP
easat-2687	238	11	inequalities	inequality	NOUN
easat-2687	238	12	,	,	PUNCT
easat-2687	238	13	the	the	DET
easat-2687	238	14	left	left	ADJ
easat-2687	238	15	side	side	NOUN
easat-2687	238	16	of	of	ADP
easat-2687	238	17	the	the	DET
easat-2687	238	18	inequalities	inequality	NOUN
easat-2687	238	19	was	be	AUX
easat-2687	238	20	multiplied	multiply	VERB
easat-2687	238	21	by	by	ADP
easat-2687	238	22	-1	-1	PUNCT
easat-2687	238	23	and	and	CCONJ
easat-2687	238	24	1	1	X
easat-2687	238	25	.	.	PUNCT
easat-2687	239	1	the	the	DET
easat-2687	239	2	narrative	narrative	NOUN
easat-2687	239	3	said	say	VERB
easat-2687	239	4	by	by	ADP
easat-2687	239	5	nur	nur	NOUN
easat-2687	239	6	was	be	AUX
easat-2687	239	7	almost	almost	ADV
easat-2687	239	8	similar	similar	ADJ
easat-2687	239	9	to	to	ADP
easat-2687	239	10	rif	rif	PROPN
easat-2687	239	11	’s	’s	NOUN
easat-2687	239	12	.	.	PUNCT
easat-2687	240	1	however	however	ADV
easat-2687	240	2	,	,	PUNCT
easat-2687	240	3	nur	nur	AUX
easat-2687	240	4	added	add	VERB
easat-2687	240	5	the	the	DET
easat-2687	240	6	interval	interval	NOUN
easat-2687	240	7	conditions	condition	NOUN
easat-2687	240	8	,	,	PUNCT
easat-2687	240	9	which	which	PRON
easat-2687	240	10	were	be	AUX
easat-2687	240	11	x>0	x>0	PROPN
easat-2687	240	12	and	and	CCONJ
easat-2687	240	13	<	<	X
easat-2687	240	14	0	0	NUM
easat-2687	240	15	.	.	PUNCT
easat-2687	241	1	the	the	DET
easat-2687	241	2	subjects	subject	NOUN
easat-2687	241	3	obtained	obtain	VERB
easat-2687	241	4	the	the	DET
easat-2687	241	5	same	same	ADJ
easat-2687	241	6	solution	solution	NOUN
easat-2687	241	7	set	set	NOUN
easat-2687	241	8	.	.	PUNCT
easat-2687	242	1	however	however	ADV
easat-2687	242	2	,	,	PUNCT
easat-2687	242	3	there	there	PRON
easat-2687	242	4	were	be	VERB
easat-2687	242	5	differences	difference	NOUN
easat-2687	242	6	between	between	ADP
easat-2687	242	7	each	each	DET
easat-2687	242	8	subject	subject	NOUN
easat-2687	242	9	in	in	ADP
easat-2687	242	10	using	use	VERB
easat-2687	242	11	absolute	absolute	ADJ
easat-2687	242	12	value	value	NOUN
easat-2687	242	13	.	.	PUNCT
easat-2687	243	1	based	base	VERB
easat-2687	243	2	on	on	ADP
easat-2687	243	3	commognitive	commognitive	ADJ
easat-2687	243	4	perspective	perspective	NOUN
easat-2687	243	5	,	,	PUNCT
easat-2687	243	6	definitions	definition	NOUN
easat-2687	243	7	are	be	AUX
easat-2687	243	8	endorsed	endorse	VERB
easat-2687	243	9	through	through	ADP
easat-2687	243	10	narratives	narrative	NOUN
easat-2687	243	11	.	.	PUNCT
easat-2687	244	1	this	this	PRON
easat-2687	244	2	is	be	AUX
easat-2687	244	3	in	in	ADP
easat-2687	244	4	accordance	accordance	NOUN
easat-2687	244	5	with	with	ADP
easat-2687	244	6	the	the	DET
easat-2687	244	7	research	research	NOUN
easat-2687	244	8	by	by	ADP
easat-2687	244	9	gagagtisis	gagagtisis	NOUN
easat-2687	244	10	&	&	CCONJ
easat-2687	244	11	panaoura	panaoura	PROPN
easat-2687	244	12	(	(	PUNCT
easat-2687	244	13	2014	2014	NUM
easat-2687	244	14	)	)	PUNCT
easat-2687	244	15	,	,	PUNCT
easat-2687	244	16	which	which	PRON
easat-2687	244	17	found	find	VERB
easat-2687	244	18	that	that	SCONJ
easat-2687	244	19	students	student	NOUN
easat-2687	244	20	assume	assume	VERB
easat-2687	244	21	|x	|x	PROPN
easat-2687	244	22	+	+	CCONJ
easat-2687	244	23	3|	3|	NUM
easat-2687	244	24	=	=	NOUN
easat-2687	244	25	x	x	SYM
easat-2687	245	1	+	+	NUM
easat-2687	245	2	3	3	NUM
easat-2687	245	3	if	if	SCONJ
easat-2687	245	4	x	x	PROPN
easat-2687	245	5	>	>	X
easat-2687	245	6	0	0	NUM
easat-2687	245	7	,	,	PUNCT
easat-2687	245	8	and	and	CCONJ
easat-2687	245	9	|x	|x	NOUN
easat-2687	245	10	+	+	CCONJ
easat-2687	245	11	3|	3|	NUM
easat-2687	246	1	=	=	NOUN
easat-2687	246	2	x	x	SYM
easat-2687	246	3	+	+	NUM
easat-2687	246	4	3	3	NUM
easat-2687	246	5	if	if	SCONJ
easat-2687	246	6	x	x	X
easat-2687	246	7	<	<	X
easat-2687	246	8	0	0	NUM
easat-2687	246	9	.	.	PUNCT
easat-2687	247	1	according	accord	VERB
easat-2687	247	2	to	to	ADP
easat-2687	247	3	papadouris	papadouris	PROPN
easat-2687	247	4	et	et	PROPN
easat-2687	247	5	al	al	PROPN
easat-2687	247	6	.	.	PROPN
easat-2687	248	1	(	(	PUNCT
easat-2687	248	2	2024	2024	NUM
easat-2687	248	3	)	)	PUNCT
easat-2687	248	4	,	,	PUNCT
easat-2687	248	5	difficulties	difficulty	NOUN
easat-2687	248	6	were	be	AUX
easat-2687	248	7	found	find	VERB
easat-2687	248	8	in	in	ADP
easat-2687	248	9	understanding	understand	VERB
easat-2687	248	10	the	the	DET
easat-2687	248	11	definition	definition	NOUN
easat-2687	248	12	of	of	ADP
easat-2687	248	13	absolute	absolute	ADJ
easat-2687	248	14	value	value	NOUN
easat-2687	248	15	as	as	ADP
easat-2687	248	16	a	a	DET
easat-2687	248	17	piecewise	piecewise	NOUN
easat-2687	248	18	function	function	NOUN
easat-2687	248	19	.	.	PUNCT
easat-2687	249	1	this	this	DET
easat-2687	249	2	definition	definition	NOUN
easat-2687	249	3	is	be	AUX
easat-2687	249	4	directly	directly	ADV
easat-2687	249	5	related	relate	VERB
easat-2687	249	6	to	to	ADP
easat-2687	249	7	the	the	DET
easat-2687	249	8	challenges	challenge	NOUN
easat-2687	249	9	students	student	NOUN
easat-2687	249	10	face	face	VERB
easat-2687	249	11	when	when	SCONJ
easat-2687	249	12	understanding	understand	VERB
easat-2687	249	13	basic	basic	ADJ
easat-2687	249	14	relationships	relationship	NOUN
easat-2687	249	15	and	and	CCONJ
easat-2687	249	16	ultimately	ultimately	ADV
easat-2687	249	17	leads	lead	VERB
easat-2687	249	18	to	to	ADP
easat-2687	249	19	difficulties	difficulty	NOUN
easat-2687	249	20	in	in	ADP
easat-2687	249	21	solving	solve	VERB
easat-2687	249	22	simple	simple	ADJ
easat-2687	249	23	equations	equation	NOUN
easat-2687	249	24	.	.	PUNCT
easat-2687	250	1	4.5	4.5	NUM
easat-2687	250	2	.	.	PUNCT
easat-2687	251	1	determining	determine	VERB
easat-2687	251	2	x	x	SYM
easat-2687	251	3	(	(	PUNCT
easat-2687	251	4	sm48	sm48	PROPN
easat-2687	251	5	,	,	PUNCT
easat-2687	251	6	sm68	sm68	PROPN
easat-2687	251	7	)	)	PUNCT
easat-2687	251	8	figure	figure	NOUN
easat-2687	251	9	7	7	NUM
easat-2687	251	10	.	.	NOUN
easat-2687	251	11	3242	3242	NUM
easat-2687	251	12	edelweiss	edelweiss	PROPN
easat-2687	251	13	applied	apply	VERB
easat-2687	251	14	science	science	NOUN
easat-2687	251	15	and	and	CCONJ
easat-2687	251	16	technology	technology	NOUN
easat-2687	251	17	issn	issn	PROPN
easat-2687	251	18	:	:	PUNCT
easat-2687	251	19	2576	2576	NUM
easat-2687	251	20	-	-	SYM
easat-2687	251	21	8484	8484	NUM
easat-2687	251	22	vol	vol	NOUN
easat-2687	251	23	.	.	PROPN
easat-2687	251	24	8	8	NUM
easat-2687	251	25	,	,	PUNCT
easat-2687	251	26	no	no	INTJ
easat-2687	251	27	.	.	NOUN
easat-2687	252	1	6	6	NUM
easat-2687	252	2	:	:	SYM
easat-2687	252	3	3230	3230	NUM
easat-2687	252	4	-	-	SYM
easat-2687	252	5	3247	3247	NUM
easat-2687	252	6	,	,	PUNCT
easat-2687	252	7	2024	2024	NUM
easat-2687	252	8	doi	doi	NOUN
easat-2687	252	9	:	:	PUNCT
easat-2687	252	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	252	11	©	©	NOUN
easat-2687	252	12	2024	2024	NUM
easat-2687	252	13	by	by	ADP
easat-2687	252	14	the	the	DET
easat-2687	252	15	authors	author	NOUN
easat-2687	252	16	;	;	PUNCT
easat-2687	252	17	licensee	licensee	PROPN
easat-2687	252	18	learning	learn	VERB
easat-2687	252	19	gate	gate	NOUN
easat-2687	252	20	answer	answer	NOUN
easat-2687	252	21	by	by	ADP
easat-2687	252	22	subject	subject	NOUN
easat-2687	252	23	eka	eka	PROPN
easat-2687	252	24	.	.	PUNCT
easat-2687	253	1	table	table	NOUN
easat-2687	253	2	9	9	NUM
easat-2687	253	3	.	.	PUNCT
easat-2687	254	1	discussion	discussion	NOUN
easat-2687	254	2	transcripts	transcript	NOUN
easat-2687	254	3	subject	subject	VERB
easat-2687	254	4	eka	eka	PROPN
easat-2687	254	5	.	.	PUNCT
easat-2687	255	1	interview	interview	NOUN
easat-2687	255	2	discussion	discussion	NOUN
easat-2687	255	3	peneliti	peneliti	VERB
easat-2687	255	4	you	you	PRON
easat-2687	255	5	wrote	write	VERB
easat-2687	255	6	the	the	DET
easat-2687	255	7	equation	equation	NOUN
easat-2687	255	8	𝑥	𝑥	PRON
easat-2687	255	9	−	−	PROPN
easat-2687	255	10	3	3	NUM
easat-2687	255	11	=	=	SYM
easat-2687	255	12	0	0	NUM
easat-2687	256	1	and	and	CCONJ
easat-2687	256	2	𝑥	𝑥	INTJ
easat-2687	256	3	−	−	NUM
easat-2687	256	4	2	2	NUM
easat-2687	256	5	=	=	SYM
easat-2687	256	6	0	0	NUM
easat-2687	256	7	,	,	PUNCT
easat-2687	256	8	what	what	PRON
easat-2687	256	9	were	be	AUX
easat-2687	256	10	they	they	PRON
easat-2687	256	11	for	for	ADP
easat-2687	256	12	?	?	PUNCT
easat-2687	257	1	eka	eka	NOUN
easat-2687	257	2	i	i	PRON
easat-2687	257	3	would	would	AUX
easat-2687	257	4	determine	determine	VERB
easat-2687	257	5	the	the	DET
easat-2687	257	6	value	value	NOUN
easat-2687	257	7	of	of	ADP
easat-2687	257	8	x	x	PROPN
easat-2687	257	9	,	,	PUNCT
easat-2687	257	10	ma’am	ma’am	PROPN
easat-2687	257	11	.	.	PUNCT
easat-2687	258	1	then	then	ADV
easat-2687	258	2	,	,	PUNCT
easat-2687	258	3	i	i	PRON
easat-2687	258	4	divided	divide	VERB
easat-2687	258	5	it	it	PRON
easat-2687	258	6	into	into	ADP
easat-2687	258	7	three	three	NUM
easat-2687	258	8	regions	region	NOUN
easat-2687	258	9	3	3	NUM
easat-2687	258	10	,	,	PUNCT
easat-2687	258	11	namely	namely	ADV
easat-2687	258	12	𝑥	𝑥	ADP
easat-2687	258	13	<	<	X
easat-2687	258	14	−2	−2	NOUN
easat-2687	258	15	,	,	PUNCT
easat-2687	258	16	−2	−2	NOUN
easat-2687	258	17	<	<	X
easat-2687	258	18	𝑥	𝑥	X
easat-2687	258	19	<	<	X
easat-2687	258	20	3	3	NUM
easat-2687	258	21	𝑑𝑎𝑛	𝑑𝑎𝑛	ADP
easat-2687	258	22	𝑥	𝑥	PRON
easat-2687	258	23	≥	≥	NUM
easat-2687	258	24	4	4	NUM
easat-2687	258	25	peneliti	peneliti	NOUN
easat-2687	258	26	how	how	SCONJ
easat-2687	258	27	did	do	AUX
easat-2687	258	28	you	you	PRON
easat-2687	258	29	decide	decide	VERB
easat-2687	258	30	these	these	DET
easat-2687	258	31	regions	region	NOUN
easat-2687	258	32	?	?	PUNCT
easat-2687	259	1	eka	eka	NOUN
easat-2687	259	2	i	i	PRON
easat-2687	259	3	refer	refer	VERB
easat-2687	259	4	to	to	ADP
easat-2687	259	5	the	the	DET
easat-2687	259	6	examples	example	NOUN
easat-2687	259	7	provided	provide	VERB
easat-2687	259	8	peneliti	peneliti	NOUN
easat-2687	259	9	you	you	PRON
easat-2687	259	10	wrote	write	VERB
easat-2687	259	11	−𝑥	−𝑥	NOUN
easat-2687	259	12	+	+	CCONJ
easat-2687	259	13	3	3	NUM
easat-2687	259	14	+	+	CCONJ
easat-2687	259	15	(	(	PUNCT
easat-2687	259	16	𝑥	𝑥	NOUN
easat-2687	259	17	−	−	PROPN
easat-2687	259	18	2	2	NUM
easat-2687	259	19	)	)	PUNCT
easat-2687	259	20	<	<	X
easat-2687	259	21	11	11	NUM
easat-2687	259	22	.	.	PUNCT
easat-2687	260	1	how	how	SCONJ
easat-2687	260	2	did	do	AUX
easat-2687	260	3	you	you	PRON
easat-2687	260	4	come	come	VERB
easat-2687	260	5	up	up	ADP
easat-2687	260	6	with	with	ADP
easat-2687	260	7	that	that	PRON
easat-2687	260	8	?	?	PUNCT
easat-2687	261	1	eka	eka	NOUN
easat-2687	261	2	it	it	PRON
easat-2687	261	3	was	be	AUX
easat-2687	261	4	based	base	VERB
easat-2687	261	5	on	on	ADP
easat-2687	261	6	equality	equality	NOUN
easat-2687	261	7	𝑥	𝑥	X
easat-2687	261	8	<	<	X
easat-2687	261	9	−2	−2	X
easat-2687	261	10	.	.	PUNCT
easat-2687	262	1	as	as	SCONJ
easat-2687	262	2	were	be	AUX
easat-2687	262	3	the	the	DET
easat-2687	262	4	other	other	ADJ
easat-2687	262	5	regions	region	NOUN
easat-2687	262	6	,	,	PUNCT
easat-2687	262	7	ma’am	ma’am	NOUN
easat-2687	262	8	.	.	PUNCT
easat-2687	263	1	peneliti	peneliti	PROPN
easat-2687	263	2	how	how	SCONJ
easat-2687	263	3	about	about	ADP
easat-2687	263	4	5	5	NUM
easat-2687	263	5	<	<	X
easat-2687	263	6	11	11	NUM
easat-2687	263	7	?	?	PUNCT
easat-2687	264	1	eka	eka	NOUN
easat-2687	264	2	that	that	PRON
easat-2687	264	3	is	be	AUX
easat-2687	264	4	a	a	DET
easat-2687	264	5	true	true	ADJ
easat-2687	264	6	statement	statement	NOUN
easat-2687	264	7	,	,	PUNCT
easat-2687	264	8	ma’am	ma’am	NOUN
easat-2687	264	9	,	,	PUNCT
easat-2687	264	10	in	in	ADP
easat-2687	264	11	the	the	DET
easat-2687	264	12	interval	interval	NOUN
easat-2687	264	13	in	in	ADP
easat-2687	264	14	between	between	ADP
easat-2687	264	15	.	.	PUNCT
easat-2687	265	1	peneliti	peneliti	PROPN
easat-2687	265	2	hp={−5	hp={−5	X
easat-2687	266	1	<	<	X
easat-2687	266	2	𝑥	𝑥	X
easat-2687	266	3	<	<	X
easat-2687	266	4	6	6	NUM
easat-2687	266	5	}	}	PUNCT
easat-2687	266	6	.	.	PUNCT
easat-2687	267	1	what	what	PRON
easat-2687	267	2	does	do	AUX
easat-2687	267	3	it	it	PRON
easat-2687	267	4	mean	mean	VERB
easat-2687	267	5	?	?	PUNCT
easat-2687	268	1	eka	eka	PROPN
easat-2687	268	2	himpunan	himpunan	PROPN
easat-2687	268	3	penyelesaian	penyelesaian	NOUN
easat-2687	268	4	(	(	PUNCT
easat-2687	268	5	solution	solution	NOUN
easat-2687	268	6	set	set	NOUN
easat-2687	268	7	)	)	PUNCT
easat-2687	268	8	researcher	researcher	NOUN
easat-2687	268	9	can	can	AUX
easat-2687	268	10	you	you	PRON
easat-2687	268	11	explain	explain	VERB
easat-2687	268	12	the	the	DET
easat-2687	268	13	process	process	NOUN
easat-2687	268	14	?	?	PUNCT
easat-2687	269	1	eka	eka	NOUN
easat-2687	269	2	i	i	PRON
easat-2687	269	3	took	take	VERB
easat-2687	269	4	the	the	DET
easat-2687	269	5	points	point	NOUN
easat-2687	269	6	-5	-5	PUNCT
easat-2687	269	7	and	and	CCONJ
easat-2687	269	8	6	6	NUM
easat-2687	269	9	,	,	PUNCT
easat-2687	269	10	ma’am	ma’am	NOUN
easat-2687	269	11	.	.	PUNCT
easat-2687	269	12	figure	figure	NOUN
easat-2687	269	13	8	8	NUM
easat-2687	269	14	.	.	PUNCT
easat-2687	270	1	answer	answer	NOUN
easat-2687	270	2	by	by	ADP
easat-2687	270	3	subject	subject	PROPN
easat-2687	270	4	eva	eva	PROPN
easat-2687	270	5	.	.	PROPN
easat-2687	270	6	table	table	PROPN
easat-2687	270	7	10	10	NUM
easat-2687	270	8	.	.	PUNCT
easat-2687	271	1	discussion	discussion	NOUN
easat-2687	271	2	transcripts	transcript	NOUN
easat-2687	271	3	subject	subject	PROPN
easat-2687	271	4	eva	eva	PROPN
easat-2687	271	5	.	.	PUNCT
easat-2687	272	1	interview	interview	NOUN
easat-2687	272	2	discussion	discussion	NOUN
easat-2687	272	3	peneliti	peneliti	VERB
easat-2687	272	4	you	you	PRON
easat-2687	272	5	wrote	write	VERB
easat-2687	272	6	𝑥	𝑥	PUNCT
easat-2687	272	7	−	−	PROPN
easat-2687	272	8	3	3	NUM
easat-2687	272	9	=	=	SYM
easat-2687	272	10	0	0	NUM
easat-2687	273	1	and	and	CCONJ
easat-2687	273	2	𝑥	𝑥	INTJ
easat-2687	273	3	−	−	NUM
easat-2687	273	4	2	2	NUM
easat-2687	273	5	=	=	SYM
easat-2687	273	6	0	0	NUM
easat-2687	273	7	,	,	PUNCT
easat-2687	273	8	what	what	PRON
easat-2687	273	9	were	be	AUX
easat-2687	273	10	they	they	PRON
easat-2687	273	11	for	for	ADP
easat-2687	273	12	?	?	PUNCT
easat-2687	274	1	eva	eva	PROPN
easat-2687	274	2	to	to	PART
easat-2687	274	3	determine	determine	VERB
easat-2687	274	4	x	x	PRON
easat-2687	274	5	,	,	PUNCT
easat-2687	274	6	to	to	PART
easat-2687	274	7	create	create	VERB
easat-2687	274	8	a	a	DET
easat-2687	274	9	number	number	NOUN
easat-2687	274	10	line	line	NOUN
easat-2687	274	11	,	,	PUNCT
easat-2687	274	12	ma’am	ma’am	NOUN
easat-2687	274	13	.	.	PUNCT
easat-2687	275	1	peneliti	peneliti	PROPN
easat-2687	275	2	why	why	SCONJ
easat-2687	275	3	did	do	AUX
easat-2687	275	4	you	you	PRON
easat-2687	275	5	create	create	VERB
easat-2687	275	6	a	a	DET
easat-2687	275	7	number	number	NOUN
easat-2687	275	8	line	line	NOUN
easat-2687	275	9	?	?	PUNCT
easat-2687	276	1	3243	3243	NUM
easat-2687	276	2	edelweiss	edelweiss	PROPN
easat-2687	276	3	applied	apply	VERB
easat-2687	276	4	science	science	NOUN
easat-2687	276	5	and	and	CCONJ
easat-2687	276	6	technology	technology	NOUN
easat-2687	276	7	issn	issn	PROPN
easat-2687	276	8	:	:	PUNCT
easat-2687	276	9	2576	2576	NUM
easat-2687	276	10	-	-	SYM
easat-2687	276	11	8484	8484	NUM
easat-2687	276	12	vol	vol	NOUN
easat-2687	276	13	.	.	PROPN
easat-2687	276	14	8	8	NUM
easat-2687	276	15	,	,	PUNCT
easat-2687	276	16	no	no	INTJ
easat-2687	276	17	.	.	NOUN
easat-2687	277	1	6	6	NUM
easat-2687	277	2	:	:	SYM
easat-2687	277	3	3230	3230	NUM
easat-2687	277	4	-	-	SYM
easat-2687	277	5	3247	3247	NUM
easat-2687	277	6	,	,	PUNCT
easat-2687	277	7	2024	2024	NUM
easat-2687	277	8	doi	doi	NOUN
easat-2687	277	9	:	:	PUNCT
easat-2687	277	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	277	11	©	©	NOUN
easat-2687	277	12	2024	2024	NUM
easat-2687	277	13	by	by	ADP
easat-2687	277	14	the	the	DET
easat-2687	277	15	authors	author	NOUN
easat-2687	277	16	;	;	PUNCT
easat-2687	277	17	licensee	licensee	PROPN
easat-2687	277	18	learning	learning	PROPN
easat-2687	277	19	gate	gate	PROPN
easat-2687	277	20	eva	eva	PROPN
easat-2687	277	21	to	to	PART
easat-2687	277	22	determine	determine	VERB
easat-2687	277	23	the	the	DET
easat-2687	277	24	solution	solution	NOUN
easat-2687	277	25	region	region	NOUN
easat-2687	277	26	.	.	PUNCT
easat-2687	278	1	for	for	ADP
easat-2687	278	2	example	example	NOUN
easat-2687	278	3	,	,	PUNCT
easat-2687	278	4	in	in	ADP
easat-2687	278	5	the	the	DET
easat-2687	278	6	region	region	NOUN
easat-2687	278	7	𝑥	𝑥	X
easat-2687	278	8	<	<	X
easat-2687	278	9	2	2	NUM
easat-2687	278	10	,	,	PUNCT
easat-2687	278	11	it	it	PRON
easat-2687	278	12	is	be	AUX
easat-2687	278	13	determined	determine	VERB
easat-2687	278	14	that	that	SCONJ
easat-2687	278	15	−𝑥	−𝑥	NOUN
easat-2687	278	16	+	+	CCONJ
easat-2687	278	17	3	3	NUM
easat-2687	278	18	+	+	CCONJ
easat-2687	278	19	(	(	PUNCT
easat-2687	278	20	−𝑥	−𝑥	NOUN
easat-2687	278	21	−	−	NOUN
easat-2687	278	22	2	2	NUM
easat-2687	278	23	)	)	PUNCT
easat-2687	278	24	<	<	X
easat-2687	278	25	11	11	NUM
easat-2687	278	26	peneliti	peneliti	NOUN
easat-2687	278	27	.	.	PUNCT
easat-2687	279	1	alright	alright	INTJ
easat-2687	279	2	.	.	PUNCT
easat-2687	280	1	next	next	ADV
easat-2687	280	2	,	,	PUNCT
easat-2687	280	3	how	how	SCONJ
easat-2687	280	4	did	do	AUX
easat-2687	280	5	you	you	PRON
easat-2687	280	6	get	get	VERB
easat-2687	280	7	the	the	DET
easat-2687	280	8	solution	solution	NOUN
easat-2687	280	9	set	set	VERB
easat-2687	280	10	?	?	PUNCT
easat-2687	281	1	eva	eva	NOUN
easat-2687	281	2	from	from	ADP
easat-2687	281	3	the	the	DET
easat-2687	281	4	solutions	solution	NOUN
easat-2687	281	5	1	1	NUM
easat-2687	281	6	)	)	PUNCT
easat-2687	281	7	,	,	PUNCT
easat-2687	281	8	2	2	NUM
easat-2687	281	9	)	)	PUNCT
easat-2687	281	10	and	and	CCONJ
easat-2687	281	11	3	3	X
easat-2687	281	12	)	)	PUNCT
easat-2687	281	13	peneliti	peneliti	NOUN
easat-2687	281	14	what	what	PRON
easat-2687	281	15	did	do	AUX
easat-2687	281	16	you	you	PRON
easat-2687	281	17	do	do	VERB
easat-2687	281	18	?	?	PUNCT
easat-2687	282	1	eva	eva	PROPN
easat-2687	283	1	it	it	PRON
easat-2687	283	2	’s	’	VERB
easat-2687	283	3	the	the	DET
easat-2687	283	4	combination	combination	NOUN
easat-2687	283	5	of	of	ADP
easat-2687	283	6	𝑥	𝑥	PROPN
easat-2687	283	7	>	>	X
easat-2687	283	8	−5	−5	NOUN
easat-2687	283	9	and	and	CCONJ
easat-2687	283	10	𝑥	𝑥	X
easat-2687	283	11	<	<	X
easat-2687	283	12	6	6	NUM
easat-2687	283	13	peneliti	peneliti	NOUN
easat-2687	283	14	okay	okay	INTJ
easat-2687	283	15	subject	subject	NOUN
easat-2687	283	16	eka	eka	PROPN
easat-2687	283	17	and	and	CCONJ
easat-2687	283	18	eva	eva	NOUN
easat-2687	283	19	created	create	VERB
easat-2687	283	20	three	three	NUM
easat-2687	283	21	intervals	interval	NOUN
easat-2687	283	22	to	to	PART
easat-2687	283	23	determine	determine	VERB
easat-2687	283	24	the	the	DET
easat-2687	283	25	solution	solution	NOUN
easat-2687	283	26	set	set	VERB
easat-2687	283	27	of	of	ADP
easat-2687	283	28	the	the	DET
easat-2687	283	29	absolute	absolute	ADJ
easat-2687	283	30	value	value	NOUN
easat-2687	283	31	inequality	inequality	NOUN
easat-2687	283	32	.	.	PUNCT
easat-2687	284	1	both	both	DET
easat-2687	284	2	subjects	subject	NOUN
easat-2687	284	3	wrote	write	VERB
easat-2687	284	4	the	the	DET
easat-2687	284	5	equations	equation	NOUN
easat-2687	284	6	x-3=0	x-3=0	PROPN
easat-2687	284	7	and	and	CCONJ
easat-2687	284	8	x-2=0	x-2=0	PROPN
easat-2687	284	9	and	and	CCONJ
easat-2687	284	10	used	use	VERB
easat-2687	284	11	them	they	PRON
easat-2687	284	12	to	to	PART
easat-2687	284	13	create	create	VERB
easat-2687	284	14	points	point	NOUN
easat-2687	284	15	on	on	ADP
easat-2687	284	16	the	the	DET
easat-2687	284	17	intervals	interval	NOUN
easat-2687	284	18	.	.	PUNCT
easat-2687	285	1	eka	eka	NOUN
easat-2687	285	2	mentioned	mention	VERB
easat-2687	285	3	that	that	SCONJ
easat-2687	285	4	the	the	DET
easat-2687	285	5	interval	interval	NOUN
easat-2687	285	6	in	in	ADP
easat-2687	285	7	the	the	DET
easat-2687	285	8	middle	middle	NOUN
easat-2687	285	9	produced	produce	VERB
easat-2687	285	10	a	a	DET
easat-2687	285	11	true	true	ADJ
easat-2687	285	12	statement	statement	NOUN
easat-2687	285	13	because	because	SCONJ
easat-2687	285	14	it	it	PRON
easat-2687	285	15	showed	show	VERB
easat-2687	285	16	5<11	5<11	PROPN
easat-2687	285	17	.	.	PUNCT
easat-2687	286	1	subject	subject	PROPN
easat-2687	286	2	eva	eva	PROPN
easat-2687	286	3	stated	state	VERB
easat-2687	286	4	that	that	SCONJ
easat-2687	286	5	five	five	NUM
easat-2687	286	6	minus	minus	CCONJ
easat-2687	286	7	three	three	NUM
easat-2687	286	8	is	be	AUX
easat-2687	286	9	a	a	DET
easat-2687	286	10	true	true	ADJ
easat-2687	286	11	statement	statement	NOUN
easat-2687	286	12	.	.	PUNCT
easat-2687	287	1	in	in	ADP
easat-2687	287	2	the	the	DET
easat-2687	287	3	process	process	NOUN
easat-2687	287	4	of	of	ADP
easat-2687	287	5	obtaining	obtain	VERB
easat-2687	287	6	the	the	DET
easat-2687	287	7	solution	solution	NOUN
easat-2687	287	8	set	set	VERB
easat-2687	287	9	,	,	PUNCT
easat-2687	287	10	eka	eka	PROPN
easat-2687	287	11	said	say	VERB
easat-2687	287	12	it	it	PRON
easat-2687	287	13	can	can	AUX
easat-2687	287	14	be	be	AUX
easat-2687	287	15	seen	see	VERB
easat-2687	287	16	from	from	ADP
easat-2687	287	17	points	point	NOUN
easat-2687	287	18	-5	-5	PUNCT
easat-2687	287	19	and	and	CCONJ
easat-2687	287	20	6	6	NUM
easat-2687	287	21	.	.	PUNCT
easat-2687	288	1	meanwhile	meanwhile	ADV
easat-2687	288	2	,	,	PUNCT
easat-2687	288	3	subject	subject	PROPN
easat-2687	288	4	eva	eva	PROPN
easat-2687	288	5	stated	state	VERB
easat-2687	288	6	that	that	SCONJ
easat-2687	288	7	it	it	PRON
easat-2687	288	8	is	be	AUX
easat-2687	288	9	the	the	DET
easat-2687	288	10	union	union	NOUN
easat-2687	288	11	of	of	ADP
easat-2687	288	12	x>-5	x>-5	PROPN
easat-2687	288	13	and	and	CCONJ
easat-2687	288	14	x<6	x<6	PROPN
easat-2687	288	15	.	.	PUNCT
easat-2687	289	1	eka	eka	PROPN
easat-2687	289	2	and	and	CCONJ
easat-2687	289	3	eva	eva	PROPN
easat-2687	289	4	differed	differ	VERB
easat-2687	289	5	in	in	ADP
easat-2687	289	6	their	their	PRON
easat-2687	289	7	interpretations	interpretation	NOUN
easat-2687	289	8	.	.	PUNCT
easat-2687	290	1	4.6	4.6	NUM
easat-2687	290	2	.	.	PUNCT
easat-2687	291	1	replacing	replace	VERB
easat-2687	291	2	the	the	DET
easat-2687	291	3	less	less	ADJ
easat-2687	291	4	than	than	SCONJ
easat-2687	291	5	sign	sign	VERB
easat-2687	291	6	to	to	ADP
easat-2687	291	7	an	an	DET
easat-2687	291	8	equal	equal	ADJ
easat-2687	291	9	sign	sign	NOUN
easat-2687	291	10	(	(	PUNCT
easat-2687	291	11	sm49	sm49	PROPN
easat-2687	291	12	,	,	PUNCT
easat-2687	291	13	sm65	sm65	PROPN
easat-2687	291	14	)	)	PUNCT
easat-2687	291	15	,	,	PUNCT
easat-2687	291	16	moving	move	VERB
easat-2687	291	17	absolute	absolute	ADJ
easat-2687	291	18	value	value	NOUN
easat-2687	291	19	(	(	PUNCT
easat-2687	291	20	sm410	sm410	PROPN
easat-2687	291	21	)	)	PUNCT
easat-2687	291	22	figure	figure	NOUN
easat-2687	291	23	9	9	NUM
easat-2687	291	24	.	.	PUNCT
easat-2687	291	25	answer	answer	NOUN
easat-2687	291	26	by	by	ADP
easat-2687	291	27	subject	subject	NOUN
easat-2687	291	28	eet	eet	X
easat-2687	291	29	.	.	PUNCT
easat-2687	291	30	table	table	NOUN
easat-2687	291	31	11	11	NUM
easat-2687	291	32	.	.	PUNCT
easat-2687	292	1	discussion	discussion	NOUN
easat-2687	292	2	transcripts	transcript	NOUN
easat-2687	292	3	subject	subject	PROPN
easat-2687	292	4	eet	eet	X
easat-2687	292	5	.	.	PUNCT
easat-2687	293	1	interview	interview	NOUN
easat-2687	293	2	discussion	discussion	NOUN
easat-2687	293	3	researcher	researcher	NOUN
easat-2687	293	4	why	why	SCONJ
easat-2687	293	5	did	do	AUX
easat-2687	293	6	you	you	PRON
easat-2687	293	7	change	change	VERB
easat-2687	293	8	<	<	X
easat-2687	293	9	symbol	symbol	NOUN
easat-2687	293	10	with	with	ADP
easat-2687	293	11	=	=	NOUN
easat-2687	293	12	symbol	symbol	NOUN
easat-2687	293	13	?	?	PUNCT
easat-2687	294	1	eet	eet	VERB
easat-2687	294	2	to	to	PART
easat-2687	294	3	create	create	VERB
easat-2687	294	4	an	an	DET
easat-2687	294	5	equation	equation	NOUN
easat-2687	294	6	,	,	PUNCT
easat-2687	294	7	ma’am	ma’am	NOUN
easat-2687	294	8	,	,	PUNCT
easat-2687	294	9	to	to	PART
easat-2687	294	10	make	make	VERB
easat-2687	294	11	it	it	PRON
easat-2687	294	12	easier	easy	ADJ
easat-2687	294	13	to	to	PART
easat-2687	294	14	determine	determine	VERB
easat-2687	294	15	x	x	PROPN
easat-2687	294	16	researcher	researcher	NOUN
easat-2687	294	17	how	how	SCONJ
easat-2687	294	18	is	be	AUX
easat-2687	294	19	the	the	DET
easat-2687	294	20	process	process	NOUN
easat-2687	294	21	?	?	PUNCT
easat-2687	295	1	eet	eet	VERB
easat-2687	295	2	subtract	subtract	ADJ
easat-2687	295	3	|𝑥	|𝑥	NOUN
easat-2687	295	4	−	−	PROPN
easat-2687	295	5	3|	3|	NUM
easat-2687	295	6	from	from	ADP
easat-2687	295	7	both	both	DET
easat-2687	295	8	sides	side	NOUN
easat-2687	295	9	of	of	ADP
easat-2687	295	10	the	the	DET
easat-2687	295	11	equation	equation	NOUN
easat-2687	295	12	.	.	PUNCT
easat-2687	296	1	researcher	researcher	NOUN
easat-2687	296	2	is	be	AUX
easat-2687	296	3	there	there	PRON
easat-2687	296	4	still	still	ADV
easat-2687	296	5	an	an	DET
easat-2687	296	6	absolute	absolute	ADJ
easat-2687	296	7	value	value	NOUN
easat-2687	296	8	?	?	PUNCT
easat-2687	297	1	eet	eet	VERB
easat-2687	297	2	to	to	PART
easat-2687	297	3	eliminate	eliminate	VERB
easat-2687	297	4	the	the	DET
easat-2687	297	5	absolute	absolute	ADJ
easat-2687	297	6	value	value	NOUN
easat-2687	297	7	,	,	PUNCT
easat-2687	297	8	i	i	PRON
easat-2687	297	9	used	use	VERB
easat-2687	297	10	the	the	DET
easat-2687	297	11	property	property	NOUN
easat-2687	297	12	|𝑥|	|𝑥|	NOUN
easat-2687	298	1	=	=	SYM
easat-2687	299	1	±𝑥	±𝑥	PROPN
easat-2687	299	2	the	the	DET
easat-2687	299	3	algebraic	algebraic	ADJ
easat-2687	299	4	process	process	NOUN
easat-2687	299	5	gives	give	VERB
easat-2687	299	6	𝑥	𝑥	NOUN
easat-2687	299	7	=	=	SYM
easat-2687	299	8	6	6	NUM
easat-2687	299	9	and	and	CCONJ
easat-2687	299	10	𝑥	𝑥	NOUN
easat-2687	299	11	=	=	PUNCT
easat-2687	299	12	−5	−5	NOUN
easat-2687	299	13	researcher	researcher	NOUN
easat-2687	299	14	how	how	SCONJ
easat-2687	299	15	did	do	AUX
easat-2687	299	16	you	you	PRON
easat-2687	299	17	obtain	obtain	VERB
easat-2687	299	18	the	the	DET
easat-2687	299	19	interval	interval	NOUN
easat-2687	299	20	(	(	PUNCT
easat-2687	299	21	-5,6	-5,6	ADJ
easat-2687	299	22	)	)	PUNCT
easat-2687	299	23	?	?	PUNCT
easat-2687	300	1	3244	3244	NUM
easat-2687	300	2	edelweiss	edelweiss	PROPN
easat-2687	300	3	applied	apply	VERB
easat-2687	300	4	science	science	NOUN
easat-2687	300	5	and	and	CCONJ
easat-2687	300	6	technology	technology	NOUN
easat-2687	300	7	issn	issn	PROPN
easat-2687	300	8	:	:	PUNCT
easat-2687	300	9	2576	2576	NUM
easat-2687	300	10	-	-	SYM
easat-2687	300	11	8484	8484	NUM
easat-2687	300	12	vol	vol	NOUN
easat-2687	300	13	.	.	PROPN
easat-2687	300	14	8	8	NUM
easat-2687	300	15	,	,	PUNCT
easat-2687	300	16	no	no	INTJ
easat-2687	300	17	.	.	NOUN
easat-2687	301	1	6	6	NUM
easat-2687	301	2	:	:	SYM
easat-2687	301	3	3230	3230	NUM
easat-2687	301	4	-	-	SYM
easat-2687	301	5	3247	3247	NUM
easat-2687	301	6	,	,	PUNCT
easat-2687	301	7	2024	2024	NUM
easat-2687	301	8	doi	doi	NOUN
easat-2687	301	9	:	:	PUNCT
easat-2687	301	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	301	11	©	©	NOUN
easat-2687	301	12	2024	2024	NUM
easat-2687	301	13	by	by	ADP
easat-2687	301	14	the	the	DET
easat-2687	301	15	authors	author	NOUN
easat-2687	301	16	;	;	PUNCT
easat-2687	301	17	licensee	licensee	PROPN
easat-2687	301	18	learning	learn	VERB
easat-2687	301	19	gate	gate	NOUN
easat-2687	301	20	eet	eet	VERB
easat-2687	301	21	the	the	DET
easat-2687	301	22	value	value	NOUN
easat-2687	301	23	𝑥	𝑥	NOUN
easat-2687	301	24	=	=	SYM
easat-2687	301	25	6	6	NUM
easat-2687	301	26	and	and	CCONJ
easat-2687	301	27	𝑥	𝑥	NOUN
easat-2687	301	28	=	=	NOUN
easat-2687	301	29	−5	−5	NOUN
easat-2687	301	30	were	be	AUX
easat-2687	301	31	used	use	VERB
easat-2687	301	32	to	to	PART
easat-2687	301	33	determine	determine	VERB
easat-2687	301	34	the	the	DET
easat-2687	301	35	interval	interval	NOUN
easat-2687	301	36	of	of	ADP
easat-2687	301	37	the	the	DET
easat-2687	301	38	inequalities	inequality	NOUN
easat-2687	301	39	that	that	PRON
easat-2687	301	40	fulfill	fulfill	VERB
easat-2687	301	41	the	the	DET
easat-2687	301	42	condition	condition	NOUN
easat-2687	301	43	.	.	PUNCT
easat-2687	302	1	researcher	researcher	NOUN
easat-2687	302	2	why	why	SCONJ
easat-2687	302	3	did	do	AUX
easat-2687	302	4	it	it	PRON
easat-2687	302	5	change	change	VERB
easat-2687	302	6	back	back	ADV
easat-2687	302	7	to	to	ADP
easat-2687	302	8	an	an	DET
easat-2687	302	9	inequality	inequality	NOUN
easat-2687	302	10	?	?	PUNCT
easat-2687	303	1	eet	eet	VERB
easat-2687	303	2	it	it	PRON
easat-2687	303	3	is	be	AUX
easat-2687	303	4	based	base	VERB
easat-2687	303	5	on	on	ADP
easat-2687	303	6	the	the	DET
easat-2687	303	7	question	question	NOUN
easat-2687	303	8	,	,	PUNCT
easat-2687	303	9	ma’am	ma’am	PROPN
easat-2687	303	10	.	.	PUNCT
easat-2687	303	11	figure	figure	NOUN
easat-2687	303	12	10	10	NUM
easat-2687	303	13	.	.	PUNCT
easat-2687	304	1	answer	answer	NOUN
easat-2687	304	2	by	by	ADP
easat-2687	304	3	subject	subject	ADJ
easat-2687	304	4	mal	mal	PROPN
easat-2687	304	5	.	.	PUNCT
easat-2687	304	6	table	table	NOUN
easat-2687	304	7	12	12	NUM
easat-2687	304	8	.	.	PUNCT
easat-2687	305	1	discussion	discussion	NOUN
easat-2687	305	2	transcripts	transcript	NOUN
easat-2687	305	3	subject	subject	VERB
easat-2687	305	4	mal	mal	ADJ
easat-2687	305	5	interview	interview	NOUN
easat-2687	305	6	discussion	discussion	NOUN
easat-2687	305	7	researcher	researcher	NOUN
easat-2687	305	8	why	why	SCONJ
easat-2687	305	9	did	do	AUX
easat-2687	305	10	you	you	PRON
easat-2687	305	11	change	change	VERB
easat-2687	305	12	<	<	X
easat-2687	305	13	symbol	symbol	NOUN
easat-2687	305	14	to	to	ADP
easat-2687	305	15	=	=	NOUN
easat-2687	305	16	symbol	symbol	NOUN
easat-2687	305	17	?	?	PUNCT
easat-2687	306	1	mal	mal	ADJ
easat-2687	306	2	to	to	PART
easat-2687	306	3	make	make	VERB
easat-2687	306	4	it	it	PRON
easat-2687	306	5	easier	easy	ADJ
easat-2687	306	6	to	to	PART
easat-2687	306	7	determine	determine	VERB
easat-2687	306	8	x.	x.	NOUN
easat-2687	306	9	then	then	ADV
easat-2687	306	10	,	,	PUNCT
easat-2687	306	11	i	i	PRON
easat-2687	306	12	used	use	VERB
easat-2687	306	13	the	the	DET
easat-2687	306	14	property	property	NOUN
easat-2687	306	15	|𝑥|	|𝑥|	ADJ
easat-2687	306	16	=	=	SYM
easat-2687	306	17	±𝑥.	±𝑥.	PROPN
easat-2687	306	18	researcher	researcher	NOUN
easat-2687	306	19	there	there	PRON
easat-2687	306	20	is	be	VERB
easat-2687	306	21	still	still	ADV
easat-2687	306	22	an	an	DET
easat-2687	306	23	absolute	absolute	ADJ
easat-2687	306	24	value	value	NOUN
easat-2687	306	25	on	on	ADP
easat-2687	306	26	the	the	DET
easat-2687	306	27	right	right	ADJ
easat-2687	306	28	side	side	NOUN
easat-2687	306	29	(	(	PUNCT
easat-2687	306	30	sm4266	sm4266	PROPN
easat-2687	306	31	)	)	PUNCT
easat-2687	306	32	mal	mal	NOUN
easat-2687	306	33	i	i	PRON
easat-2687	306	34	will	will	AUX
easat-2687	306	35	work	work	VERB
easat-2687	306	36	on	on	ADP
easat-2687	306	37	it	it	PRON
easat-2687	307	1	step	step	VERB
easat-2687	307	2	by	by	ADP
easat-2687	307	3	step	step	NOUN
easat-2687	307	4	,	,	PUNCT
easat-2687	307	5	ma’am	ma’am	NOUN
easat-2687	307	6	.	.	PUNCT
easat-2687	308	1	researcher	researcher	NOUN
easat-2687	308	2	this	this	DET
easat-2687	308	3	result	result	NOUN
easat-2687	308	4	is	be	AUX
easat-2687	308	5	in	in	ADP
easat-2687	308	6	an	an	DET
easat-2687	308	7	equation	equation	NOUN
easat-2687	308	8	.	.	PUNCT
easat-2687	309	1	why	why	SCONJ
easat-2687	309	2	did	do	AUX
easat-2687	309	3	it	it	PRON
easat-2687	309	4	become	become	VERB
easat-2687	309	5	an	an	DET
easat-2687	309	6	interval	interval	NOUN
easat-2687	309	7	?	?	PUNCT
easat-2687	310	1	mal	mal	ADJ
easat-2687	310	2	try	try	VERB
easat-2687	310	3	it	it	PRON
easat-2687	310	4	out	out	ADP
easat-2687	310	5	.	.	PUNCT
easat-2687	311	1	subject	subject	NOUN
easat-2687	311	2	eet	eet	X
easat-2687	311	3	stated	state	VERB
easat-2687	311	4	that	that	SCONJ
easat-2687	311	5	to	to	PART
easat-2687	311	6	simplify	simplify	VERB
easat-2687	311	7	his	his	PRON
easat-2687	311	8	work	work	NOUN
easat-2687	311	9	,	,	PUNCT
easat-2687	311	10	he	he	PRON
easat-2687	311	11	changed	change	VERB
easat-2687	311	12	the	the	DET
easat-2687	311	13	less	less	ADJ
easat-2687	311	14	than	than	SCONJ
easat-2687	311	15	sign	sign	VERB
easat-2687	311	16	to	to	ADP
easat-2687	311	17	an	an	DET
easat-2687	311	18	equal	equal	ADJ
easat-2687	311	19	sign	sign	NOUN
easat-2687	311	20	.	.	PUNCT
easat-2687	312	1	next	next	ADV
easat-2687	312	2	,	,	PUNCT
easat-2687	312	3	eet	eet	X
easat-2687	312	4	used	use	VERB
easat-2687	312	5	the	the	DET
easat-2687	312	6	definition	definition	NOUN
easat-2687	312	7	|𝑥|	|𝑥|	ADJ
easat-2687	312	8	=	=	SYM
easat-2687	312	9	±𝑥	±𝑥	PROPN
easat-2687	312	10	to	to	PART
easat-2687	312	11	eliminate	eliminate	VERB
easat-2687	312	12	the	the	DET
easat-2687	312	13	absolute	absolute	ADJ
easat-2687	312	14	value	value	NOUN
easat-2687	312	15	.	.	PUNCT
easat-2687	313	1	the	the	DET
easat-2687	313	2	two	two	NUM
easat-2687	313	3	subjects	subject	NOUN
easat-2687	313	4	did	do	AUX
easat-2687	313	5	not	not	PART
easat-2687	313	6	simultaneously	simultaneously	ADV
easat-2687	313	7	eliminate	eliminate	VERB
easat-2687	313	8	the	the	DET
easat-2687	313	9	absolute	absolute	ADJ
easat-2687	313	10	value	value	NOUN
easat-2687	313	11	,	,	PUNCT
easat-2687	313	12	as	as	SCONJ
easat-2687	313	13	seen	see	VERB
easat-2687	313	14	in	in	ADP
easat-2687	313	15	codes	code	NOUN
easat-2687	313	16	(	(	PUNCT
easat-2687	313	17	sm4965e	sm4965e	NUM
easat-2687	313	18	)	)	PUNCT
easat-2687	313	19	and	and	CCONJ
easat-2687	313	20	(	(	PUNCT
easat-2687	313	21	sm4965f	sm4965f	NOUN
easat-2687	313	22	)	)	PUNCT
easat-2687	313	23	.	.	PUNCT
easat-2687	314	1	there	there	PRON
easat-2687	314	2	were	be	VERB
easat-2687	314	3	commognitive	commognitive	ADJ
easat-2687	314	4	conflicts	conflict	NOUN
easat-2687	314	5	of	of	ADP
easat-2687	314	6	the	the	DET
easat-2687	314	7	subjects	subject	NOUN
easat-2687	314	8	in	in	ADP
easat-2687	314	9	the	the	DET
easat-2687	314	10	endorsed	endorse	VERB
easat-2687	314	11	narratives	narrative	NOUN
easat-2687	314	12	when	when	SCONJ
easat-2687	314	13	applying	apply	VERB
easat-2687	314	14	the	the	DET
easat-2687	314	15	definition|𝑥|	definition|𝑥|	NOUN
easat-2687	314	16	=	=	SYM
easat-2687	314	17	±𝑥	±𝑥	PROPN
easat-2687	314	18	.	.	PUNCT
easat-2687	315	1	this	this	PRON
easat-2687	315	2	aligns	align	VERB
easat-2687	315	3	with	with	ADP
easat-2687	315	4	the	the	DET
easat-2687	315	5	findings	finding	NOUN
easat-2687	315	6	of	of	ADP
easat-2687	315	7	gagatsis	gagatsis	NOUN
easat-2687	315	8	&	&	CCONJ
easat-2687	315	9	panaoura	panaoura	PROPN
easat-2687	315	10	(	(	PUNCT
easat-2687	315	11	2014	2014	NUM
easat-2687	315	12	)	)	PUNCT
easat-2687	315	13	,	,	PUNCT
easat-2687	315	14	where	where	SCONJ
easat-2687	315	15	students	student	NOUN
easat-2687	315	16	assumed	assume	VERB
easat-2687	315	17	that	that	SCONJ
easat-2687	315	18	∣	∣	ADJ
easat-2687	315	19	|𝑥|	|𝑥|	ADJ
easat-2687	315	20	=	=	SYM
easat-2687	315	21	±𝑥	±𝑥	PROPN
easat-2687	315	22	𝑖mplies	𝑖mplie	NOUN
easat-2687	315	23	that	that	SCONJ
easat-2687	315	24	for	for	ADP
easat-2687	315	25	every	every	DET
easat-2687	315	26	𝑥	𝑥	PROPN
easat-2687	315	27	,	,	PUNCT
easat-2687	315	28	|x|	|x|	PROPN
easat-2687	315	29	has	have	VERB
easat-2687	315	30	two	two	NUM
easat-2687	315	31	values	value	NOUN
easat-2687	315	32	.	.	PUNCT
easat-2687	316	1	3245	3245	NUM
easat-2687	316	2	edelweiss	edelweiss	PROPN
easat-2687	316	3	applied	apply	VERB
easat-2687	316	4	science	science	NOUN
easat-2687	316	5	and	and	CCONJ
easat-2687	316	6	technology	technology	NOUN
easat-2687	316	7	issn	issn	PROPN
easat-2687	316	8	:	:	PUNCT
easat-2687	316	9	2576	2576	NUM
easat-2687	316	10	-	-	SYM
easat-2687	316	11	8484	8484	NUM
easat-2687	316	12	vol	vol	NOUN
easat-2687	316	13	.	.	PROPN
easat-2687	316	14	8	8	NUM
easat-2687	316	15	,	,	PUNCT
easat-2687	316	16	no	no	INTJ
easat-2687	316	17	.	.	NOUN
easat-2687	317	1	6	6	NUM
easat-2687	317	2	:	:	SYM
easat-2687	317	3	3230	3230	NUM
easat-2687	317	4	-	-	SYM
easat-2687	317	5	3247	3247	NUM
easat-2687	317	6	,	,	PUNCT
easat-2687	317	7	2024	2024	NUM
easat-2687	317	8	doi	doi	NOUN
easat-2687	317	9	:	:	PUNCT
easat-2687	317	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	317	11	©	©	NOUN
easat-2687	317	12	2024	2024	NUM
easat-2687	317	13	by	by	ADP
easat-2687	317	14	the	the	DET
easat-2687	317	15	authors	author	NOUN
easat-2687	317	16	;	;	PUNCT
easat-2687	317	17	licensee	licensee	PROPN
easat-2687	317	18	learning	learning	NOUN
easat-2687	317	19	gate	gate	NOUN
easat-2687	317	20	4.7	4.7	NUM
easat-2687	317	21	.	.	PUNCT
easat-2687	318	1	are	be	AUX
easat-2687	318	2	squared	square	VERB
easat-2687	318	3	(	(	PUNCT
easat-2687	318	4	sm69	sm69	PROPN
easat-2687	318	5	)	)	PUNCT
easat-2687	318	6	figure	figure	NOUN
easat-2687	318	7	11	11	NUM
easat-2687	318	8	.	.	PUNCT
easat-2687	319	1	answer	answer	NOUN
easat-2687	319	2	by	by	ADP
easat-2687	319	3	subject	subject	PROPN
easat-2687	319	4	arw	arw	PROPN
easat-2687	319	5	.	.	PROPN
easat-2687	319	6	table	table	PROPN
easat-2687	319	7	13	13	NUM
easat-2687	319	8	.	.	PUNCT
easat-2687	320	1	discussion	discussion	NOUN
easat-2687	320	2	transcripts	transcript	NOUN
easat-2687	320	3	subject	subject	PROPN
easat-2687	320	4	arw	arw	PROPN
easat-2687	320	5	.	.	PUNCT
easat-2687	321	1	interview	interview	NOUN
easat-2687	321	2	discussion	discussion	NOUN
easat-2687	321	3	researcher	researcher	NOUN
easat-2687	321	4	what	what	PRON
easat-2687	321	5	is	be	AUX
easat-2687	321	6	your	your	PRON
easat-2687	321	7	idea	idea	NOUN
easat-2687	321	8	?	?	PUNCT
easat-2687	322	1	arw	arw	PROPN
easat-2687	322	2	absolute	absolute	ADJ
easat-2687	322	3	value	value	NOUN
easat-2687	322	4	inequalities	inequality	NOUN
easat-2687	322	5	can	can	AUX
easat-2687	322	6	be	be	AUX
easat-2687	322	7	solved	solve	VERB
easat-2687	322	8	by	by	ADP
easat-2687	322	9	squaring	square	VERB
easat-2687	322	10	both	both	DET
easat-2687	322	11	sides	side	NOUN
easat-2687	322	12	.	.	PUNCT
easat-2687	323	1	researcher	researcher	NOUN
easat-2687	323	2	why	why	SCONJ
easat-2687	323	3	must	must	AUX
easat-2687	323	4	it	it	PRON
easat-2687	323	5	be	be	AUX
easat-2687	323	6	squared	square	VERB
easat-2687	323	7	?	?	PUNCT
easat-2687	324	1	arw	arw	PROPN
easat-2687	324	2	it	it	PRON
easat-2687	324	3	uses	use	VERB
easat-2687	324	4	the	the	DET
easat-2687	324	5	property	property	NOUN
easat-2687	324	6	|𝑥|2	|𝑥|2	ADJ
easat-2687	324	7	=	=	SYM
easat-2687	324	8	𝑥2	𝑥2	NOUN
easat-2687	324	9	researcher	researcher	NOUN
easat-2687	324	10	explain	explain	VERB
easat-2687	324	11	this	this	PRON
easat-2687	324	12	(	(	PUNCT
easat-2687	324	13	sm4266	sm4266	PROPN
easat-2687	324	14	)	)	PUNCT
easat-2687	324	15	arw	arw	PROPN
easat-2687	324	16	separate	separate	VERB
easat-2687	324	17	the	the	DET
easat-2687	324	18	plus	plus	ADJ
easat-2687	324	19	sign	sign	NOUN
easat-2687	324	20	.	.	PUNCT
easat-2687	325	1	i	i	PRON
easat-2687	325	2	’m	’m	VERB
easat-2687	325	3	not	not	PART
easat-2687	325	4	able	able	ADJ
easat-2687	325	5	to	to	PART
easat-2687	325	6	do	do	VERB
easat-2687	325	7	it	it	PRON
easat-2687	325	8	yet	yet	ADV
easat-2687	325	9	,	,	PUNCT
easat-2687	325	10	ma’am	ma’am	PROPN
easat-2687	325	11	.	.	PUNCT
easat-2687	325	12	subject	subject	PROPN
easat-2687	325	13	arw	arw	PROPN
easat-2687	325	14	used	use	VERB
easat-2687	325	15	endorsed	endorse	VERB
easat-2687	325	16	narratives	narrative	NOUN
easat-2687	325	17	that	that	PRON
easat-2687	325	18	also	also	ADV
easat-2687	325	19	represented	represent	VERB
easat-2687	325	20	the	the	DET
easat-2687	325	21	property	property	NOUN
easat-2687	325	22	of	of	ADP
easat-2687	325	23	absolute	absolute	ADJ
easat-2687	325	24	value	value	NOUN
easat-2687	325	25	,	,	PUNCT
easat-2687	325	26	namely	namely	ADV
easat-2687	325	27	|𝑥|2	|𝑥|2	ADJ
easat-2687	325	28	=	=	SYM
easat-2687	325	29	𝑥2	𝑥2	NOUN
easat-2687	325	30	.	.	PUNCT
easat-2687	326	1	however	however	ADV
easat-2687	326	2	,	,	PUNCT
easat-2687	326	3	based	base	VERB
easat-2687	326	4	on	on	ADP
easat-2687	326	5	interview	interview	NOUN
easat-2687	326	6	results	result	NOUN
easat-2687	326	7	,	,	PUNCT
easat-2687	326	8	they	they	PRON
easat-2687	326	9	only	only	ADV
easat-2687	326	10	knew	know	VERB
easat-2687	326	11	the	the	DET
easat-2687	326	12	property	property	NOUN
easat-2687	326	13	without	without	ADP
easat-2687	326	14	deeper	deep	ADJ
easat-2687	326	15	understanding	understanding	NOUN
easat-2687	326	16	.	.	PUNCT
easat-2687	327	1	what	what	PRON
easat-2687	327	2	they	they	PRON
easat-2687	327	3	did	do	AUX
easat-2687	327	4	was	be	AUX
easat-2687	327	5	merely	merely	ADV
easat-2687	327	6	replace	replace	VERB
easat-2687	327	7	the	the	DET
easat-2687	327	8	absolute	absolute	ADJ
easat-2687	327	9	value	value	NOUN
easat-2687	327	10	sign	sign	NOUN
easat-2687	327	11	with	with	ADP
easat-2687	327	12	a	a	DET
easat-2687	327	13	square	square	ADJ
easat-2687	327	14	sign	sign	NOUN
easat-2687	327	15	,	,	PUNCT
easat-2687	327	16	followed	follow	VERB
easat-2687	327	17	by	by	ADP
easat-2687	327	18	the	the	DET
easat-2687	327	19	process	process	NOUN
easat-2687	327	20	of	of	ADP
easat-2687	327	21	squaring	square	VERB
easat-2687	327	22	the	the	DET
easat-2687	327	23	function	function	NOUN
easat-2687	327	24	.	.	PUNCT
easat-2687	328	1	based	base	VERB
easat-2687	328	2	on	on	ADP
easat-2687	328	3	findings	finding	NOUN
easat-2687	328	4	from	from	ADP
easat-2687	328	5	78	78	NUM
easat-2687	328	6	students	student	NOUN
easat-2687	328	7	working	work	VERB
easat-2687	328	8	on	on	ADP
easat-2687	328	9	absolute	absolute	ADJ
easat-2687	328	10	value	value	NOUN
easat-2687	328	11	inequality	inequality	NOUN
easat-2687	328	12	assignments	assignment	NOUN
easat-2687	328	13	,	,	PUNCT
easat-2687	328	14	there	there	PRON
easat-2687	328	15	were	be	VERB
easat-2687	328	16	10	10	NUM
easat-2687	328	17	different	different	ADJ
easat-2687	328	18	ideas	idea	NOUN
easat-2687	328	19	identified	identify	VERB
easat-2687	328	20	as	as	ADP
easat-2687	328	21	commognitive	commognitive	ADJ
easat-2687	328	22	conflicts	conflict	NOUN
easat-2687	328	23	.	.	PUNCT
easat-2687	329	1	to	to	PART
easat-2687	329	2	explore	explore	VERB
easat-2687	329	3	further	far	ADV
easat-2687	329	4	,	,	PUNCT
easat-2687	329	5	in	in	ADP
easat-2687	329	6	-	-	PUNCT
easat-2687	329	7	depth	depth	NOUN
easat-2687	329	8	interviews	interview	NOUN
easat-2687	329	9	were	be	AUX
easat-2687	329	10	conducted	conduct	VERB
easat-2687	329	11	with	with	ADP
easat-2687	329	12	11	11	NUM
easat-2687	329	13	students	student	NOUN
easat-2687	329	14	selected	select	VERB
easat-2687	329	15	as	as	ADP
easat-2687	329	16	research	research	NOUN
easat-2687	329	17	subjects	subject	NOUN
easat-2687	329	18	.	.	PUNCT
easat-2687	330	1	this	this	DET
easat-2687	330	2	study	study	NOUN
easat-2687	330	3	found	find	VERB
easat-2687	330	4	commognitive	commognitive	ADJ
easat-2687	330	5	conflicts	conflict	NOUN
easat-2687	330	6	among	among	ADP
easat-2687	330	7	subjects	subject	NOUN
easat-2687	330	8	regarding	regard	VERB
easat-2687	330	9	the	the	DET
easat-2687	330	10	use	use	NOUN
easat-2687	330	11	of	of	ADP
easat-2687	330	12	visual	visual	ADJ
easat-2687	330	13	mediators	mediator	NOUN
easat-2687	330	14	and	and	CCONJ
easat-2687	330	15	endorsed	endorse	VERB
easat-2687	330	16	narratives	narrative	NOUN
easat-2687	330	17	.	.	PUNCT
easat-2687	331	1	thus	thus	ADV
easat-2687	331	2	,	,	PUNCT
easat-2687	331	3	understanding	understand	VERB
easat-2687	331	4	the	the	DET
easat-2687	331	5	concept	concept	NOUN
easat-2687	331	6	of	of	ADP
easat-2687	331	7	absolute	absolute	ADJ
easat-2687	331	8	value	value	NOUN
easat-2687	331	9	is	be	AUX
easat-2687	331	10	considered	consider	VERB
easat-2687	331	11	fundamental	fundamental	ADJ
easat-2687	331	12	.	.	PUNCT
easat-2687	332	1	in	in	ADP
easat-2687	332	2	secondary	secondary	ADJ
easat-2687	332	3	and	and	CCONJ
easat-2687	332	4	higher	high	ADJ
easat-2687	332	5	education	education	NOUN
easat-2687	332	6	,	,	PUNCT
easat-2687	332	7	the	the	DET
easat-2687	332	8	concept	concept	NOUN
easat-2687	332	9	of	of	ADP
easat-2687	332	10	absolute	absolute	ADJ
easat-2687	332	11	value	value	NOUN
easat-2687	332	12	is	be	AUX
easat-2687	332	13	regarded	regard	VERB
easat-2687	332	14	as	as	ADP
easat-2687	332	15	one	one	NUM
easat-2687	332	16	of	of	ADP
easat-2687	332	17	the	the	DET
easat-2687	332	18	most	most	ADV
easat-2687	332	19	fundamental	fundamental	ADJ
easat-2687	332	20	concepts	concept	NOUN
easat-2687	332	21	because	because	SCONJ
easat-2687	332	22	it	it	PRON
easat-2687	332	23	encompasses	encompass	VERB
easat-2687	332	24	many	many	ADJ
easat-2687	332	25	mathematical	mathematical	ADJ
easat-2687	332	26	concepts	concept	NOUN
easat-2687	332	27	(	(	PUNCT
easat-2687	332	28	baştürk	baştürk	NOUN
easat-2687	332	29	,	,	PUNCT
easat-2687	332	30	2023	2023	NUM
easat-2687	332	31	)	)	PUNCT
easat-2687	332	32	.	.	PUNCT
easat-2687	333	1	3246	3246	NUM
easat-2687	333	2	edelweiss	edelweiss	PROPN
easat-2687	333	3	applied	apply	VERB
easat-2687	333	4	science	science	NOUN
easat-2687	333	5	and	and	CCONJ
easat-2687	333	6	technology	technology	NOUN
easat-2687	333	7	issn	issn	PROPN
easat-2687	333	8	:	:	PUNCT
easat-2687	333	9	2576	2576	NUM
easat-2687	333	10	-	-	SYM
easat-2687	333	11	8484	8484	NUM
easat-2687	333	12	vol	vol	NOUN
easat-2687	333	13	.	.	PROPN
easat-2687	333	14	8	8	NUM
easat-2687	333	15	,	,	PUNCT
easat-2687	333	16	no	no	INTJ
easat-2687	333	17	.	.	NOUN
easat-2687	334	1	6	6	NUM
easat-2687	334	2	:	:	SYM
easat-2687	334	3	3230	3230	NUM
easat-2687	334	4	-	-	SYM
easat-2687	334	5	3247	3247	NUM
easat-2687	334	6	,	,	PUNCT
easat-2687	334	7	2024	2024	NUM
easat-2687	334	8	doi	doi	NOUN
easat-2687	334	9	:	:	PUNCT
easat-2687	334	10	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	334	11	©	©	NOUN
easat-2687	334	12	2024	2024	NUM
easat-2687	334	13	by	by	ADP
easat-2687	334	14	the	the	DET
easat-2687	334	15	authors	author	NOUN
easat-2687	334	16	;	;	PUNCT
easat-2687	334	17	licensee	licensee	PROPN
easat-2687	334	18	learning	learning	NOUN
easat-2687	334	19	gate	gate	NOUN
easat-2687	334	20	when	when	SCONJ
easat-2687	334	21	subjects	subject	NOUN
easat-2687	334	22	used	use	VERB
easat-2687	334	23	the	the	DET
easat-2687	334	24	property	property	NOUN
easat-2687	334	25	of	of	ADP
easat-2687	334	26	absolute	absolute	ADJ
easat-2687	334	27	value	value	NOUN
easat-2687	334	28	inequalities	inequality	NOUN
easat-2687	334	29	|x|<a	|x|<a	NOUN
easat-2687	334	30	,	,	PUNCT
easat-2687	334	31	they	they	PRON
easat-2687	334	32	did	do	AUX
easat-2687	334	33	not	not	PART
easat-2687	334	34	pay	pay	VERB
easat-2687	334	35	attention	attention	NOUN
easat-2687	334	36	to	to	ADP
easat-2687	334	37	the	the	DET
easat-2687	334	38	visual	visual	ADJ
easat-2687	334	39	mediator	mediator	NOUN
easat-2687	334	40	represented	represent	VERB
easat-2687	334	41	by	by	ADP
easat-2687	334	42	the	the	DET
easat-2687	334	43	plus	plus	ADJ
easat-2687	334	44	sign	sign	NOUN
easat-2687	334	45	in	in	ADP
easat-2687	334	46	the	the	DET
easat-2687	334	47	problem	problem	NOUN
easat-2687	334	48	.	.	PUNCT
easat-2687	335	1	subjects	subject	NOUN
easat-2687	335	2	did	do	AUX
easat-2687	335	3	not	not	PART
easat-2687	335	4	differentiate	differentiate	VERB
easat-2687	335	5	between	between	ADP
easat-2687	335	6	absolute	absolute	ADJ
easat-2687	335	7	values	value	NOUN
easat-2687	335	8	bounded	bound	VERB
easat-2687	335	9	by	by	ADP
easat-2687	335	10	addition	addition	NOUN
easat-2687	335	11	,	,	PUNCT
easat-2687	335	12	for	for	ADP
easat-2687	335	13	example	example	NOUN
easat-2687	335	14	in	in	ADP
easat-2687	335	15	the	the	DET
easat-2687	335	16	inequalities	inequality	NOUN
easat-2687	335	17	|𝑥	|𝑥	PROPN
easat-2687	335	18	−	−	PROPN
easat-2687	335	19	3|	3|	NUM
easat-2687	335	20	+	+	NUM
easat-2687	335	21	|𝑥	|𝑥	NOUN
easat-2687	335	22	+	+	X
easat-2687	335	23	2|	2|	X
easat-2687	335	24	<	<	X
easat-2687	335	25	11	11	NUM
easat-2687	335	26	and	and	CCONJ
easat-2687	335	27	|𝑥	|𝑥	PROPN
easat-2687	336	1	+	+	X
easat-2687	336	2	2|	2|	X
easat-2687	336	3	<	<	X
easat-2687	336	4	11	11	NUM
easat-2687	336	5	.	.	PUNCT
easat-2687	337	1	according	accord	VERB
easat-2687	337	2	to	to	ADP
easat-2687	337	3	papadouris	papadouris	PROPN
easat-2687	337	4	et	et	PROPN
easat-2687	337	5	al	al	PROPN
easat-2687	337	6	.	.	PROPN
easat-2687	338	1	(	(	PUNCT
easat-2687	338	2	2023	2023	NUM
easat-2687	338	3	)	)	PUNCT
easat-2687	338	4	,	,	PUNCT
easat-2687	338	5	students	student	NOUN
easat-2687	338	6	'	'	PART
easat-2687	338	7	misinterpretations	misinterpretation	NOUN
easat-2687	338	8	of	of	ADP
easat-2687	338	9	the	the	DET
easat-2687	338	10	signs	sign	NOUN
easat-2687	338	11	regarding	regard	VERB
easat-2687	338	12	the	the	DET
easat-2687	338	13	concept	concept	NOUN
easat-2687	338	14	of	of	ADP
easat-2687	338	15	absolute	absolute	ADJ
easat-2687	338	16	value	value	NOUN
easat-2687	338	17	led	lead	VERB
easat-2687	338	18	many	many	ADJ
easat-2687	338	19	to	to	PART
easat-2687	338	20	write	write	VERB
easat-2687	338	21	|	|	ADV
easat-2687	338	22	−	−	NOUN
easat-2687	338	23	𝑥|	𝑥|	NOUN
easat-2687	338	24	=	=	PUNCT
easat-2687	338	25	𝑥.	𝑥.	ADV
easat-2687	338	26	similarly	similarly	ADV
easat-2687	338	27	,	,	PUNCT
easat-2687	338	28	subjects	subject	NOUN
easat-2687	338	29	’	'	PUNCT
easat-2687	338	30	interpretations	interpretation	NOUN
easat-2687	338	31	of	of	ADP
easat-2687	338	32	the	the	DET
easat-2687	338	33	domain	domain	NOUN
easat-2687	338	34	of	of	ADP
easat-2687	338	35	absolute	absolute	ADJ
easat-2687	338	36	values	value	NOUN
easat-2687	338	37	remained	remain	VERB
easat-2687	338	38	varied	varied	ADJ
easat-2687	338	39	when	when	SCONJ
easat-2687	338	40	defining	define	VERB
easat-2687	338	41	the	the	DET
easat-2687	338	42	domain	domain	NOUN
easat-2687	338	43	of	of	ADP
easat-2687	338	44	|𝑥	|𝑥	PROPN
easat-2687	338	45	−	−	PROPN
easat-2687	338	46	3|	3|	NUM
easat-2687	338	47	and	and	CCONJ
easat-2687	338	48	|𝑥	|𝑥	PROPN
easat-2687	338	49	+	+	CCONJ
easat-2687	338	50	2|	2|	NUM
easat-2687	338	51	.	.	PUNCT
easat-2687	339	1	subjects	subject	NOUN
easat-2687	339	2	assumed	assume	VERB
easat-2687	339	3	|𝑥	|𝑥	PROPN
easat-2687	339	4	−	−	PROPN
easat-2687	339	5	3|	3|	NUM
easat-2687	339	6	=	=	SYM
easat-2687	340	1	𝑥	𝑥	PROPN
easat-2687	340	2	−	−	NUM
easat-2687	340	3	3	3	NUM
easat-2687	340	4	and	and	CCONJ
easat-2687	340	5	|𝑥	|𝑥	NOUN
easat-2687	341	1	−	−	PROPN
easat-2687	341	2	2|	2|	NUM
easat-2687	341	3	=	=	PUNCT
easat-2687	342	1	𝑥	𝑥	PRON
easat-2687	343	1	−	−	NUM
easat-2687	343	2	2	2	NUM
easat-2687	343	3	are	be	AUX
easat-2687	343	4	always	always	ADV
easat-2687	343	5	positive	positive	ADJ
easat-2687	343	6	,	,	PUNCT
easat-2687	343	7	without	without	ADP
easat-2687	343	8	further	further	ADJ
easat-2687	343	9	consideration	consideration	NOUN
easat-2687	343	10	of	of	ADP
easat-2687	343	11	the	the	DET
easat-2687	343	12	properties	property	NOUN
easat-2687	343	13	of	of	ADP
easat-2687	343	14	absolute	absolute	ADJ
easat-2687	343	15	values	value	NOUN
easat-2687	343	16	.	.	PUNCT
easat-2687	344	1	this	this	DET
easat-2687	344	2	narrative	narrative	NOUN
easat-2687	344	3	became	become	VERB
easat-2687	344	4	ingrained	ingrain	VERB
easat-2687	344	5	in	in	ADP
easat-2687	344	6	students	student	NOUN
easat-2687	344	7	’	'	PUNCT
easat-2687	344	8	minds	mind	NOUN
easat-2687	344	9	,	,	PUNCT
easat-2687	344	10	indicating	indicate	VERB
easat-2687	344	11	a	a	DET
easat-2687	344	12	need	need	NOUN
easat-2687	344	13	for	for	ADP
easat-2687	344	14	clarification	clarification	NOUN
easat-2687	344	15	.	.	PUNCT
easat-2687	345	1	thus	thus	ADV
easat-2687	345	2	,	,	PUNCT
easat-2687	345	3	absolute	absolute	ADJ
easat-2687	345	4	values	value	NOUN
easat-2687	345	5	became	become	VERB
easat-2687	345	6	important	important	ADJ
easat-2687	345	7	with	with	ADP
easat-2687	345	8	the	the	DET
easat-2687	345	9	introduction	introduction	NOUN
easat-2687	345	10	of	of	ADP
easat-2687	345	11	negative	negative	ADJ
easat-2687	345	12	numbers	number	NOUN
easat-2687	345	13	,	,	PUNCT
easat-2687	345	14	which	which	PRON
easat-2687	345	15	also	also	ADV
easat-2687	345	16	presents	present	VERB
easat-2687	345	17	challenges	challenge	NOUN
easat-2687	345	18	for	for	ADP
easat-2687	345	19	them	they	PRON
easat-2687	345	20	.	.	PUNCT
easat-2687	346	1	this	this	PRON
easat-2687	346	2	means	mean	VERB
easat-2687	346	3	we	we	PRON
easat-2687	346	4	must	must	AUX
easat-2687	346	5	change	change	VERB
easat-2687	346	6	the	the	DET
easat-2687	346	7	entrenched	entrenched	ADJ
easat-2687	346	8	perceptions	perception	NOUN
easat-2687	346	9	about	about	ADP
easat-2687	346	10	the	the	DET
easat-2687	346	11	concepts	concept	NOUN
easat-2687	346	12	of	of	ADP
easat-2687	346	13	numbers	number	NOUN
easat-2687	346	14	they	they	PRON
easat-2687	346	15	have	have	AUX
easat-2687	346	16	developed	develop	VERB
easat-2687	346	17	since	since	SCONJ
easat-2687	346	18	elementary	elementary	ADJ
easat-2687	346	19	school	school	PROPN
easat-2687	346	20	(	(	PUNCT
easat-2687	346	21	almeida	almeida	PROPN
easat-2687	346	22	&	&	CCONJ
easat-2687	346	23	bruno	bruno	PROPN
easat-2687	346	24	,	,	PUNCT
easat-2687	346	25	2014	2014	NUM
easat-2687	346	26	;	;	PUNCT
easat-2687	346	27	papadouris	papadouris	PROPN
easat-2687	346	28	et	et	PROPN
easat-2687	346	29	al	al	PROPN
easat-2687	346	30	.	.	PROPN
easat-2687	346	31	,	,	PUNCT
easat-2687	346	32	2024	2024	NUM
easat-2687	346	33	)	)	PUNCT
easat-2687	346	34	.	.	PUNCT
easat-2687	347	1	a	a	DET
easat-2687	347	2	piecewise	piecewise	NOUN
easat-2687	347	3	function	function	NOUN
easat-2687	347	4	is	be	AUX
easat-2687	347	5	a	a	DET
easat-2687	347	6	function	function	NOUN
easat-2687	347	7	defined	define	VERB
easat-2687	347	8	by	by	ADP
easat-2687	347	9	more	more	ADJ
easat-2687	347	10	than	than	ADP
easat-2687	347	11	one	one	NUM
easat-2687	347	12	formula	formula	NOUN
easat-2687	347	13	.	.	PUNCT
easat-2687	348	1	each	each	DET
easat-2687	348	2	formula	formula	NOUN
easat-2687	348	3	has	have	VERB
easat-2687	348	4	its	its	PRON
easat-2687	348	5	own	own	ADJ
easat-2687	348	6	domain	domain	NOUN
easat-2687	348	7	of	of	ADP
easat-2687	348	8	definition	definition	NOUN
easat-2687	348	9	,	,	PUNCT
easat-2687	348	10	and	and	CCONJ
easat-2687	348	11	the	the	DET
easat-2687	348	12	domain	domain	NOUN
easat-2687	348	13	of	of	ADP
easat-2687	348	14	the	the	DET
easat-2687	348	15	piecewise	piecewise	NOUN
easat-2687	348	16	function	function	NOUN
easat-2687	348	17	is	be	AUX
easat-2687	348	18	the	the	DET
easat-2687	348	19	union	union	NOUN
easat-2687	348	20	of	of	ADP
easat-2687	348	21	all	all	DET
easat-2687	348	22	the	the	DET
easat-2687	348	23	smaller	small	ADJ
easat-2687	348	24	domains	domain	NOUN
easat-2687	348	25	from	from	ADP
easat-2687	348	26	each	each	DET
easat-2687	348	27	formula	formula	NOUN
easat-2687	348	28	.	.	PUNCT
easat-2687	349	1	the	the	DET
easat-2687	349	2	definition	definition	NOUN
easat-2687	349	3	of	of	ADP
easat-2687	349	4	absolute	absolute	ADJ
easat-2687	349	5	value	value	NOUN
easat-2687	349	6	as	as	ADP
easat-2687	349	7	a	a	DET
easat-2687	349	8	piecewise	piecewise	NOUN
easat-2687	349	9	function	function	NOUN
easat-2687	349	10	is	be	AUX
easat-2687	349	11	another	another	DET
easat-2687	349	12	source	source	NOUN
easat-2687	349	13	of	of	ADP
easat-2687	349	14	difficulty	difficulty	NOUN
easat-2687	349	15	(	(	PUNCT
easat-2687	349	16	tall	tall	ADJ
easat-2687	349	17	&	&	CCONJ
easat-2687	349	18	vinner	vinner	NOUN
easat-2687	349	19	,	,	PUNCT
easat-2687	349	20	1981	1981	NUM
easat-2687	349	21	)	)	PUNCT
easat-2687	349	22	,	,	PUNCT
easat-2687	349	23	especially	especially	ADV
easat-2687	349	24	when	when	SCONJ
easat-2687	349	25	students	student	NOUN
easat-2687	349	26	tend	tend	VERB
easat-2687	349	27	to	to	PART
easat-2687	349	28	memorize	memorize	VERB
easat-2687	349	29	that	that	SCONJ
easat-2687	349	30	definition	definition	NOUN
easat-2687	349	31	.	.	PUNCT
easat-2687	350	1	5	5	X
easat-2687	350	2	.	.	X
easat-2687	350	3	conclusion	conclusion	NOUN
easat-2687	350	4	the	the	DET
easat-2687	350	5	study	study	NOUN
easat-2687	350	6	was	be	AUX
easat-2687	350	7	conducted	conduct	VERB
easat-2687	350	8	on	on	ADP
easat-2687	350	9	even	even	ADV
easat-2687	350	10	semester	semester	NOUN
easat-2687	350	11	students	student	NOUN
easat-2687	350	12	who	who	PRON
easat-2687	350	13	have	have	AUX
easat-2687	350	14	studied	study	VERB
easat-2687	350	15	absolute	absolute	ADJ
easat-2687	350	16	value	value	NOUN
easat-2687	350	17	inequality	inequality	NOUN
easat-2687	350	18	.	.	PUNCT
easat-2687	351	1	a	a	DET
easat-2687	351	2	total	total	NOUN
easat-2687	351	3	of	of	ADP
easat-2687	351	4	78	78	NUM
easat-2687	351	5	students	student	NOUN
easat-2687	351	6	who	who	PRON
easat-2687	351	7	worked	work	VERB
easat-2687	351	8	on	on	ADP
easat-2687	351	9	this	this	DET
easat-2687	351	10	task	task	NOUN
easat-2687	351	11	,	,	PUNCT
easat-2687	351	12	there	there	PRON
easat-2687	351	13	were	be	VERB
easat-2687	351	14	10	10	NUM
easat-2687	351	15	main	main	ADJ
easat-2687	351	16	categories	category	NOUN
easat-2687	351	17	of	of	ADP
easat-2687	351	18	commognitive	commognitive	ADJ
easat-2687	351	19	conflicts	conflict	NOUN
easat-2687	351	20	.	.	PUNCT
easat-2687	352	1	the	the	DET
easat-2687	352	2	cause	cause	NOUN
easat-2687	352	3	of	of	ADP
easat-2687	352	4	the	the	DET
easat-2687	352	5	emergence	emergence	NOUN
easat-2687	352	6	of	of	ADP
easat-2687	352	7	commognitive	commognitive	ADJ
easat-2687	352	8	conflicts	conflict	NOUN
easat-2687	352	9	is	be	AUX
easat-2687	352	10	because	because	SCONJ
easat-2687	352	11	students	student	NOUN
easat-2687	352	12	do	do	AUX
easat-2687	352	13	not	not	PART
easat-2687	352	14	understand	understand	VERB
easat-2687	352	15	the	the	DET
easat-2687	352	16	absolute	absolute	ADJ
easat-2687	352	17	value	value	NOUN
easat-2687	352	18	inequality	inequality	NOUN
easat-2687	352	19	.	.	PUNCT
easat-2687	353	1	students	student	NOUN
easat-2687	353	2	only	only	ADV
easat-2687	353	3	know	know	VERB
easat-2687	353	4	the	the	DET
easat-2687	353	5	definition	definition	NOUN
easat-2687	353	6	or	or	CCONJ
easat-2687	353	7	theorem	theorem	NOUN
easat-2687	353	8	of	of	ADP
easat-2687	353	9	absolute	absolute	ADJ
easat-2687	353	10	value	value	NOUN
easat-2687	353	11	but	but	CCONJ
easat-2687	353	12	can	can	AUX
easat-2687	353	13	not	not	PART
easat-2687	353	14	use	use	VERB
easat-2687	353	15	it	it	PRON
easat-2687	353	16	in	in	ADP
easat-2687	353	17	solving	solve	VERB
easat-2687	353	18	problems	problem	NOUN
easat-2687	353	19	.	.	PUNCT
easat-2687	354	1	in	in	ADP
easat-2687	354	2	addition	addition	NOUN
easat-2687	354	3	,	,	PUNCT
easat-2687	354	4	they	they	PRON
easat-2687	354	5	are	be	AUX
easat-2687	354	6	confused	confused	ADJ
easat-2687	354	7	about	about	ADP
easat-2687	354	8	the	the	DET
easat-2687	354	9	intervals	interval	NOUN
easat-2687	354	10	that	that	PRON
easat-2687	354	11	exist	exist	VERB
easat-2687	354	12	in	in	ADP
easat-2687	354	13	the	the	DET
easat-2687	354	14	absolute	absolute	ADJ
easat-2687	354	15	value	value	NOUN
easat-2687	354	16	interval	interval	NOUN
easat-2687	354	17	.	.	PUNCT
easat-2687	355	1	this	this	PRON
easat-2687	355	2	provides	provide	VERB
easat-2687	355	3	an	an	DET
easat-2687	355	4	opportunity	opportunity	NOUN
easat-2687	355	5	for	for	SCONJ
easat-2687	355	6	researchers	researcher	NOUN
easat-2687	355	7	to	to	PART
easat-2687	355	8	explore	explore	VERB
easat-2687	355	9	other	other	ADJ
easat-2687	355	10	commognitive	commognitive	ADJ
easat-2687	355	11	conflicts	conflict	NOUN
easat-2687	355	12	in	in	ADP
easat-2687	355	13	this	this	DET
easat-2687	355	14	material	material	NOUN
easat-2687	355	15	.	.	PUNCT
easat-2687	356	1	copyright	copyright	NOUN
easat-2687	356	2	:	:	PUNCT
easat-2687	356	3	©	©	PROPN
easat-2687	356	4	2024	2024	NUM
easat-2687	356	5	by	by	ADP
easat-2687	356	6	the	the	DET
easat-2687	356	7	authors	author	NOUN
easat-2687	356	8	.	.	PUNCT
easat-2687	357	1	this	this	DET
easat-2687	357	2	article	article	NOUN
easat-2687	357	3	is	be	AUX
easat-2687	357	4	an	an	DET
easat-2687	357	5	open	open	ADJ
easat-2687	357	6	access	access	NOUN
easat-2687	357	7	article	article	NOUN
easat-2687	357	8	distributed	distribute	VERB
easat-2687	357	9	under	under	ADP
easat-2687	357	10	the	the	DET
easat-2687	357	11	terms	term	NOUN
easat-2687	357	12	and	and	CCONJ
easat-2687	357	13	conditions	condition	NOUN
easat-2687	357	14	of	of	ADP
easat-2687	357	15	the	the	DET
easat-2687	357	16	creative	creative	ADJ
easat-2687	357	17	commons	common	NOUN
easat-2687	357	18	attribution	attribution	NOUN
easat-2687	357	19	(	(	PUNCT
easat-2687	357	20	cc	cc	NOUN
easat-2687	357	21	by	by	ADP
easat-2687	357	22	)	)	PUNCT
easat-2687	357	23	license	license	NOUN
easat-2687	357	24	(	(	PUNCT
easat-2687	357	25	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-2687	357	26	)	)	PUNCT
easat-2687	357	27	.	.	PUNCT
easat-2687	358	1	references	reference	NOUN
easat-2687	358	2	[	[	X
easat-2687	358	3	1	1	NUM
easat-2687	358	4	]	]	PUNCT
easat-2687	358	5	akçakoca	akçakoca	NOUN
easat-2687	358	6	,	,	PUNCT
easat-2687	358	7	t.	t.	PROPN
easat-2687	358	8	,	,	PUNCT
easat-2687	358	9	sağ	sağ	PROPN
easat-2687	358	10	,	,	PUNCT
easat-2687	358	11	g.	g.	PROPN
easat-2687	358	12	y.	y.	PROPN
easat-2687	358	13	,	,	PUNCT
easat-2687	358	14	&	&	CCONJ
easat-2687	358	15	argün	argün	PROPN
easat-2687	358	16	,	,	PUNCT
easat-2687	358	17	z.	z.	PROPN
easat-2687	358	18	(	(	PUNCT
easat-2687	358	19	2024	2024	NUM
easat-2687	358	20	)	)	PUNCT
easat-2687	358	21	.	.	PUNCT
easat-2687	359	1	rituals	ritual	NOUN
easat-2687	359	2	and	and	CCONJ
easat-2687	359	3	explorations	exploration	NOUN
easat-2687	359	4	in	in	ADP
easat-2687	359	5	students	student	NOUN
easat-2687	359	6	’	'	PUNCT
easat-2687	359	7	mathematical	mathematical	ADJ
easat-2687	359	8	discourses	discourse	NOUN
easat-2687	359	9	:	:	PUNCT
easat-2687	359	10	the	the	DET
easat-2687	359	11	case	case	NOUN
easat-2687	359	12	of	of	ADP
easat-2687	359	13	polynomial	polynomial	ADJ
easat-2687	359	14	inequalities	inequality	NOUN
easat-2687	359	15	.	.	PUNCT
easat-2687	360	1	participatory	participatory	ADJ
easat-2687	360	2	educational	educational	ADJ
easat-2687	360	3	research	research	NOUN
easat-2687	360	4	,	,	PUNCT
easat-2687	360	5	11(1	11(1	NUM
easat-2687	360	6	)	)	PUNCT
easat-2687	360	7	,	,	PUNCT
easat-2687	360	8	178	178	NUM
easat-2687	360	9	-	-	SYM
easat-2687	360	10	197	197	NUM
easat-2687	360	11	.	.	PUNCT
easat-2687	361	1	http://dx.doi.org/10.17275/per.24.11.11.1	http://dx.doi.org/10.17275/per.24.11.11.1	NOUN
easat-2687	361	2	[	[	X
easat-2687	361	3	2	2	NUM
easat-2687	361	4	]	]	X
easat-2687	361	5	almeida	almeida	PROPN
easat-2687	361	6	,	,	PUNCT
easat-2687	361	7	r.	r.	PROPN
easat-2687	361	8	,	,	PUNCT
easat-2687	361	9	&	&	CCONJ
easat-2687	361	10	bruno	bruno	PROPN
easat-2687	361	11	,	,	PUNCT
easat-2687	361	12	a.	a.	NOUN
easat-2687	361	13	(	(	PUNCT
easat-2687	361	14	2014	2014	NUM
easat-2687	361	15	)	)	PUNCT
easat-2687	361	16	.	.	PUNCT
easat-2687	362	1	strategies	strategy	NOUN
easat-2687	362	2	of	of	ADP
easat-2687	362	3	pre	pre	ADJ
easat-2687	362	4	-	-	ADJ
easat-2687	362	5	service	service	ADJ
easat-2687	362	6	primary	primary	ADJ
easat-2687	362	7	school	school	NOUN
easat-2687	362	8	teachers	teacher	NOUN
easat-2687	362	9	for	for	ADP
easat-2687	362	10	solving	solve	VERB
easat-2687	362	11	addition	addition	NOUN
easat-2687	362	12	problems	problem	NOUN
easat-2687	362	13	with	with	ADP
easat-2687	362	14	negative	negative	ADJ
easat-2687	362	15	numbers	number	NOUN
easat-2687	362	16	.	.	PUNCT
easat-2687	363	1	international	international	ADJ
easat-2687	363	2	journal	journal	PROPN
easat-2687	363	3	of	of	ADP
easat-2687	363	4	mathematical	mathematical	ADJ
easat-2687	363	5	education	education	NOUN
easat-2687	363	6	in	in	ADP
easat-2687	363	7	science	science	NOUN
easat-2687	363	8	and	and	CCONJ
easat-2687	363	9	technology	technology	NOUN
easat-2687	363	10	,	,	PUNCT
easat-2687	363	11	45(5	45(5	NOUN
easat-2687	363	12	)	)	PUNCT
easat-2687	363	13	,	,	PUNCT
easat-2687	363	14	719–737	719–737	NUM
easat-2687	363	15	.	.	PUNCT
easat-2687	363	16	\	\	PUNCT
easat-2687	364	1	https://doi.org/10.1080/0020739x.2013.877605	https://doi.org/10.1080/0020739x.2013.877605	X
easat-2687	365	1	[	[	X
easat-2687	365	2	3	3	NUM
easat-2687	365	3	]	]	X
easat-2687	365	4	baroody	baroody	NOUN
easat-2687	365	5	.	.	PUNCT
easat-2687	366	1	a.j	a.j	PROPN
easat-2687	366	2	.	.	PROPN
easat-2687	367	1	(	(	PUNCT
easat-2687	367	2	1993	1993	NUM
easat-2687	367	3	)	)	PUNCT
easat-2687	367	4	.	.	PUNCT
easat-2687	368	1	problem	problem	NOUN
easat-2687	368	2	solving	solving	NOUN
easat-2687	368	3	,	,	PUNCT
easat-2687	368	4	reasoning	reasoning	NOUN
easat-2687	368	5	,	,	PUNCT
easat-2687	368	6	and	and	CCONJ
easat-2687	368	7	communicating	communicate	VERB
easat-2687	368	8	.	.	PUNCT
easat-2687	369	1	macmillan	macmillan	PROPN
easat-2687	369	2	publising	publising	PROPN
easat-2687	369	3	,	,	PUNCT
easat-2687	369	4	new	new	PROPN
easat-2687	369	5	york	york	PROPN
easat-2687	369	6	.	.	PUNCT
easat-2687	370	1	[	[	X
easat-2687	370	2	4	4	NUM
easat-2687	370	3	]	]	SYM
easat-2687	370	4	baştürk	baştürk	NOUN
easat-2687	370	5	,	,	PUNCT
easat-2687	370	6	s.	s.	PROPN
easat-2687	370	7	(	(	PUNCT
easat-2687	370	8	2023	2023	NUM
easat-2687	370	9	)	)	PUNCT
easat-2687	370	10	.	.	PUNCT
easat-2687	371	1	evaluation	evaluation	NOUN
easat-2687	371	2	of	of	ADP
easat-2687	371	3	teaching	teach	VERB
easat-2687	371	4	the	the	DET
easat-2687	371	5	concept	concept	NOUN
easat-2687	371	6	of	of	ADP
easat-2687	371	7	absolute	absolute	ADJ
easat-2687	371	8	value	value	NOUN
easat-2687	371	9	in	in	ADP
easat-2687	371	10	the	the	DET
easat-2687	371	11	context	context	NOUN
easat-2687	371	12	of	of	ADP
easat-2687	371	13	middle	middle	ADJ
easat-2687	371	14	school	school	NOUN
easat-2687	371	15	teachers	teacher	NOUN
easat-2687	371	16	’	’	PART
easat-2687	371	17	perspectives	perspective	NOUN
easat-2687	371	18	.	.	PUNCT
easat-2687	372	1	international	international	ADJ
easat-2687	372	2	journal	journal	NOUN
easat-2687	372	3	of	of	ADP
easat-2687	372	4	academic	academic	ADJ
easat-2687	372	5	multidisciplinary	multidisciplinary	ADJ
easat-2687	372	6	research	research	NOUN
easat-2687	372	7	(	(	PUNCT
easat-2687	372	8	ijamr	ijamr	PROPN
easat-2687	372	9	)	)	PUNCT
easat-2687	372	10	,	,	PUNCT
easat-2687	372	11	7(3	7(3	NUM
easat-2687	372	12	)	)	PUNCT
easat-2687	372	13	,	,	PUNCT
easat-2687	372	14	300–311	300–311	NUM
easat-2687	372	15	.	.	PUNCT
easat-2687	373	1	[	[	X
easat-2687	373	2	5	5	NUM
easat-2687	373	3	]	]	X
easat-2687	373	4	ben	ben	PROPN
easat-2687	373	5	-	-	PUNCT
easat-2687	373	6	zvi	zvi	PROPN
easat-2687	373	7	,	,	PUNCT
easat-2687	373	8	d.	d.	PROPN
easat-2687	373	9	,	,	PUNCT
easat-2687	373	10	&	&	CCONJ
easat-2687	373	11	sfard	sfard	NOUN
easat-2687	373	12	,	,	PUNCT
easat-2687	373	13	a.	a.	NOUN
easat-2687	373	14	(	(	PUNCT
easat-2687	373	15	2007	2007	NUM
easat-2687	373	16	)	)	PUNCT
easat-2687	373	17	.	.	PUNCT
easat-2687	374	1	ariadne	ariadne	PROPN
easat-2687	374	2	’s	’s	PART
easat-2687	374	3	thread	thread	NOUN
easat-2687	374	4	,	,	PUNCT
easat-2687	374	5	daedalus	daedalus	ADJ
easat-2687	374	6	’	'	PUNCT
easat-2687	374	7	wings	wing	NOUN
easat-2687	374	8	’	'	PUNCT
easat-2687	374	9	and	and	CCONJ
easat-2687	374	10	the	the	DET
easat-2687	374	11	learner	learner	NOUN
easat-2687	374	12	’s	’s	PART
easat-2687	374	13	autonomy	autonomy	NOUN
easat-2687	374	14	.	.	PUNCT
easat-2687	375	1	education	education	NOUN
easat-2687	375	2	&	&	CCONJ
easat-2687	375	3	didactique	didactique	PROPN
easat-2687	375	4	,	,	PUNCT
easat-2687	375	5	1(3),117–134	1(3),117–134	NUM
easat-2687	375	6	.	.	NUM
easat-2687	375	7	https://doi.org/10.4000/educationdidactique.241	https://doi.org/10.4000/educationdidactique.241	NOUN
easat-2687	376	1	[	[	X
easat-2687	376	2	6	6	NUM
easat-2687	376	3	]	]	X
easat-2687	376	4	emre	emre	PROPN
easat-2687	376	5	-	-	PUNCT
easat-2687	376	6	akdogan	akdogan	PROPN
easat-2687	376	7	,	,	PUNCT
easat-2687	376	8	e.	e.	PROPN
easat-2687	376	9	,	,	PUNCT
easat-2687	376	10	güçler	güçler	PROPN
easat-2687	376	11	,	,	PUNCT
easat-2687	376	12	b.	b.	PROPN
easat-2687	376	13	,	,	PUNCT
easat-2687	376	14	&	&	CCONJ
easat-2687	376	15	argün	argün	PROPN
easat-2687	376	16	,	,	PUNCT
easat-2687	376	17	z.	z.	PROPN
easat-2687	376	18	(	(	PUNCT
easat-2687	376	19	2018	2018	NUM
easat-2687	376	20	)	)	PUNCT
easat-2687	376	21	.	.	PUNCT
easat-2687	377	1	the	the	DET
easat-2687	377	2	development	development	NOUN
easat-2687	377	3	of	of	ADP
easat-2687	377	4	two	two	NUM
easat-2687	377	5	high	high	ADJ
easat-2687	377	6	school	school	NOUN
easat-2687	377	7	students	student	NOUN
easat-2687	377	8	’	'	PUNCT
easat-2687	377	9	discourses	discourse	NOUN
easat-2687	377	10	on	on	ADP
easat-2687	377	11	geometric	geometric	ADJ
easat-2687	377	12	translation	translation	NOUN
easat-2687	377	13	in	in	ADP
easat-2687	377	14	relation	relation	NOUN
easat-2687	377	15	to	to	ADP
easat-2687	377	16	the	the	DET
easat-2687	377	17	teacher	teacher	NOUN
easat-2687	377	18	’s	’s	PART
easat-2687	377	19	discourse	discourse	NOUN
easat-2687	377	20	in	in	ADP
easat-2687	377	21	the	the	DET
easat-2687	377	22	classroom	classroom	NOUN
easat-2687	377	23	.	.	PUNCT
easat-2687	378	1	eurasia	eurasia	PROPN
easat-2687	378	2	journal	journal	PROPN
easat-2687	378	3	of	of	ADP
easat-2687	378	4	mathematics	mathematics	PROPN
easat-2687	378	5	,	,	PUNCT
easat-2687	378	6	science	science	NOUN
easat-2687	378	7	and	and	CCONJ
easat-2687	378	8	technology	technology	NOUN
easat-2687	378	9	education	education	NOUN
easat-2687	378	10	,	,	PUNCT
easat-2687	378	11	14(5	14(5	NUM
easat-2687	378	12	)	)	PUNCT
easat-2687	378	13	,	,	PUNCT
easat-2687	378	14	1605–1619	1605–1619	NUM
easat-2687	378	15	.	.	PUNCT
easat-2687	379	1	https://doi:10.29333	https://doi:10.29333	NOUN
easat-2687	379	2	/	/	SYM
easat-2687	379	3	ejmste/84885	ejmste/84885	NOUN
easat-2687	379	4	[	[	X
easat-2687	379	5	7	7	NUM
easat-2687	379	6	]	]	X
easat-2687	379	7	gagatsis	gagatsis	NOUN
easat-2687	379	8	,	,	PUNCT
easat-2687	379	9	a.	a.	NOUN
easat-2687	379	10	,	,	PUNCT
easat-2687	379	11	&	&	CCONJ
easat-2687	379	12	panaoura	panaoura	PROPN
easat-2687	379	13	,	,	PUNCT
easat-2687	379	14	a.	a.	NOUN
easat-2687	379	15	(	(	PUNCT
easat-2687	379	16	2014	2014	NUM
easat-2687	379	17	)	)	PUNCT
easat-2687	379	18	.	.	PUNCT
easat-2687	380	1	a	a	DET
easat-2687	380	2	multidimensional	multidimensional	ADJ
easat-2687	380	3	approach	approach	NOUN
easat-2687	380	4	to	to	PART
easat-2687	380	5	explore	explore	VERB
easat-2687	380	6	the	the	DET
easat-2687	380	7	understanding	understanding	NOUN
easat-2687	380	8	of	of	ADP
easat-2687	380	9	the	the	DET
easat-2687	380	10	notion	notion	NOUN
easat-2687	380	11	of	of	ADP
easat-2687	380	12	absolute	absolute	ADJ
easat-2687	380	13	value	value	NOUN
easat-2687	380	14	.	.	PUNCT
easat-2687	381	1	international	international	ADJ
easat-2687	381	2	journal	journal	PROPN
easat-2687	381	3	of	of	ADP
easat-2687	381	4	mathematical	mathematical	ADJ
easat-2687	381	5	education	education	NOUN
easat-2687	381	6	in	in	ADP
easat-2687	381	7	science	science	NOUN
easat-2687	381	8	and	and	CCONJ
easat-2687	381	9	technology	technology	NOUN
easat-2687	381	10	,	,	PUNCT
easat-2687	381	11	45(2	45(2	NOUN
easat-2687	381	12	)	)	PUNCT
easat-2687	381	13	,	,	PUNCT
easat-2687	381	14	159–173	159–173	NUM
easat-2687	381	15	.	.	PUNCT
easat-2687	382	1	https://doi.org/10.1080/0020739x.2013.790510	https://doi.org/10.1080/0020739x.2013.790510	X
easat-2687	383	1	[	[	X
easat-2687	383	2	8	8	NUM
easat-2687	383	3	]	]	X
easat-2687	383	4	heyd	heyd	ADJ
easat-2687	383	5	-	-	PUNCT
easat-2687	383	6	metzuyanim	metzuyanim	NOUN
easat-2687	383	7	,	,	PUNCT
easat-2687	383	8	e.	e.	PROPN
easat-2687	383	9	,	,	PUNCT
easat-2687	383	10	&	&	CCONJ
easat-2687	383	11	graven	graven	NOUN
easat-2687	383	12	,	,	PUNCT
easat-2687	383	13	m.	m.	NOUN
easat-2687	383	14	(	(	PUNCT
easat-2687	383	15	2019	2019	NUM
easat-2687	383	16	)	)	PUNCT
easat-2687	383	17	.	.	PUNCT
easat-2687	384	1	rituals	ritual	NOUN
easat-2687	384	2	and	and	CCONJ
easat-2687	384	3	explorations	exploration	NOUN
easat-2687	384	4	in	in	ADP
easat-2687	384	5	mathematical	mathematical	ADJ
easat-2687	384	6	teaching	teaching	NOUN
easat-2687	384	7	and	and	CCONJ
easat-2687	384	8	learning	learning	NOUN
easat-2687	384	9	:	:	PUNCT
easat-2687	384	10	introduction	introduction	NOUN
easat-2687	384	11	to	to	ADP
easat-2687	384	12	the	the	DET
easat-2687	384	13	special	special	ADJ
easat-2687	384	14	issue	issue	NOUN
easat-2687	384	15	.	.	PUNCT
easat-2687	385	1	educational	educational	ADJ
easat-2687	385	2	studies	study	NOUN
easat-2687	385	3	in	in	ADP
easat-2687	385	4	mathematics	mathematic	NOUN
easat-2687	385	5	,	,	PUNCT
easat-2687	385	6	101(2	101(2	NUM
easat-2687	385	7	)	)	PUNCT
easat-2687	385	8	,	,	PUNCT
easat-2687	385	9	141–151	141–151	NUM
easat-2687	385	10	.	.	PUNCT
easat-2687	386	1	https://doi.org/10.1007/s10649-019-09890-x	https://doi.org/10.1007/s10649-019-09890-x	NOUN
easat-2687	387	1	[	[	X
easat-2687	387	2	9	9	NUM
easat-2687	387	3	]	]	X
easat-2687	387	4	heyd	heyd	ADJ
easat-2687	387	5	-	-	PUNCT
easat-2687	387	6	metzuyanim	metzuyanim	NOUN
easat-2687	387	7	,	,	PUNCT
easat-2687	387	8	e.	e.	PROPN
easat-2687	387	9	,	,	PUNCT
easat-2687	387	10	smith	smith	PROPN
easat-2687	387	11	,	,	PUNCT
easat-2687	387	12	m.	m.	NOUN
easat-2687	387	13	,	,	PUNCT
easat-2687	387	14	bill	bill	NOUN
easat-2687	387	15	,	,	PUNCT
easat-2687	387	16	v.	v.	PROPN
easat-2687	387	17	,	,	PUNCT
easat-2687	387	18	&	&	CCONJ
easat-2687	387	19	resnick	resnick	PROPN
easat-2687	387	20	,	,	PUNCT
easat-2687	387	21	l.	l.	PROPN
easat-2687	387	22	b.	b.	PROPN
easat-2687	387	23	(	(	PUNCT
easat-2687	387	24	2019	2019	NUM
easat-2687	387	25	)	)	PUNCT
easat-2687	387	26	.	.	PUNCT
easat-2687	388	1	from	from	ADP
easat-2687	388	2	ritual	ritual	ADJ
easat-2687	388	3	to	to	ADP
easat-2687	388	4	explorative	explorative	ADJ
easat-2687	388	5	participation	participation	NOUN
easat-2687	388	6	in	in	ADP
easat-2687	388	7	discourse	discourse	NOUN
easat-2687	388	8	-	-	PUNCT
easat-2687	388	9	rich	rich	ADJ
easat-2687	388	10	instructional	instructional	ADJ
easat-2687	388	11	practices	practice	NOUN
easat-2687	388	12	:	:	PUNCT
easat-2687	388	13	a	a	DET
easat-2687	388	14	case	case	NOUN
easat-2687	388	15	study	study	NOUN
easat-2687	388	16	of	of	ADP
easat-2687	388	17	teacher	teacher	NOUN
easat-2687	388	18	learning	learn	VERB
easat-2687	388	19	through	through	ADP
easat-2687	388	20	professional	professional	ADJ
easat-2687	388	21	development	development	NOUN
easat-2687	388	22	.	.	PUNCT
easat-2687	389	1	educational	educational	ADJ
easat-2687	389	2	studies	study	NOUN
easat-2687	389	3	in	in	ADP
easat-2687	389	4	mathematics	mathematic	NOUN
easat-2687	389	5	,	,	PUNCT
easat-2687	389	6	101(2	101(2	NUM
easat-2687	389	7	)	)	PUNCT
easat-2687	389	8	,	,	PUNCT
easat-2687	389	9	273	273	NUM
easat-2687	389	10	–	–	PUNCT
easat-2687	389	11	289	289	NUM
easat-2687	389	12	.	.	PUNCT
easat-2687	390	1	https://doi.org/10.1007/s10649-018-9849-9	https://doi.org/10.1007/s10649-018-9849-9	PROPN
easat-2687	390	2	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
easat-2687	390	3	http://dx.doi.org/10.17275/per.24.11.11.1	http://dx.doi.org/10.17275/per.24.11.11.1	NOUN
easat-2687	390	4	https://doi.org/10.1080/0020739x.2013.877605	https://doi.org/10.1080/0020739x.2013.877605	PRON
easat-2687	390	5	https://doi.org/10.4000/educationdidactique.241	https://doi.org/10.4000/educationdidactique.241	VERB
easat-2687	390	6	https://doi:10.29333	https://doi:10.29333	PROPN
easat-2687	390	7	/	/	SYM
easat-2687	390	8	ejmste/84885	ejmste/84885	ADV
easat-2687	390	9	https://doi.org/10.1080/0020739x.2013.790510	https://doi.org/10.1080/0020739x.2013.790510	VERB
easat-2687	390	10	https://doi.org/10.1007/s10649-019-09890-x	https://doi.org/10.1007/s10649-019-09890-x	PROPN
easat-2687	390	11	https://doi.org/10.1007/s10649-018-9849-9	https://doi.org/10.1007/s10649-018-9849-9	NUM
easat-2687	390	12	3247	3247	NUM
easat-2687	390	13	edelweiss	edelweiss	PROPN
easat-2687	390	14	applied	apply	VERB
easat-2687	390	15	science	science	NOUN
easat-2687	390	16	and	and	CCONJ
easat-2687	390	17	technology	technology	NOUN
easat-2687	390	18	issn	issn	PROPN
easat-2687	390	19	:	:	PUNCT
easat-2687	390	20	2576	2576	NUM
easat-2687	390	21	-	-	SYM
easat-2687	390	22	8484	8484	NUM
easat-2687	390	23	vol	vol	NOUN
easat-2687	390	24	.	.	PROPN
easat-2687	390	25	8	8	NUM
easat-2687	390	26	,	,	PUNCT
easat-2687	390	27	no	no	INTJ
easat-2687	390	28	.	.	NOUN
easat-2687	390	29	6	6	NUM
easat-2687	390	30	:	:	SYM
easat-2687	390	31	3230	3230	NUM
easat-2687	390	32	-	-	SYM
easat-2687	390	33	3247	3247	NUM
easat-2687	390	34	,	,	PUNCT
easat-2687	390	35	2024	2024	NUM
easat-2687	390	36	doi	doi	NOUN
easat-2687	390	37	:	:	PUNCT
easat-2687	390	38	10.55214/25768484.v8i6.2687	10.55214/25768484.v8i6.2687	NOUN
easat-2687	390	39	©	©	NOUN
easat-2687	390	40	2024	2024	NUM
easat-2687	390	41	by	by	ADP
easat-2687	390	42	the	the	DET
easat-2687	390	43	authors	author	NOUN
easat-2687	390	44	;	;	PUNCT
easat-2687	390	45	licensee	licensee	PROPN
easat-2687	390	46	learning	learning	NOUN
easat-2687	390	47	gate	gate	NOUN
easat-2687	391	1	[	[	X
easat-2687	391	2	10	10	NUM
easat-2687	391	3	]	]	X
easat-2687	391	4	ioannou	ioannou	NOUN
easat-2687	391	5	,	,	PUNCT
easat-2687	391	6	m.	m.	NOUN
easat-2687	391	7	(	(	PUNCT
easat-2687	391	8	2016	2016	NUM
easat-2687	391	9	)	)	PUNCT
easat-2687	391	10	.	.	PUNCT
easat-2687	392	1	a	a	DET
easat-2687	392	2	commognitive	commognitive	ADJ
easat-2687	392	3	analysis	analysis	NOUN
easat-2687	392	4	of	of	ADP
easat-2687	392	5	mathematics	mathematic	NOUN
easat-2687	392	6	undergraduates	undergraduate	NOUN
easat-2687	392	7	'	'	PART
easat-2687	392	8	responses	response	NOUN
easat-2687	392	9	to	to	ADP
easat-2687	392	10	a	a	DET
easat-2687	392	11	commutativity	commutativity	NOUN
easat-2687	392	12	verification	verification	NOUN
easat-2687	392	13	group	group	NOUN
easat-2687	392	14	theory	theory	NOUN
easat-2687	392	15	task	task	NOUN
easat-2687	392	16	.	.	PUNCT
easat-2687	393	1	in	in	ADP
easat-2687	393	2	e.	e.	PROPN
easat-2687	393	3	nardi	nardi	PROPN
easat-2687	393	4	,	,	PUNCT
easat-2687	393	5	c.	c.	PROPN
easat-2687	393	6	winsløw	winsløw	PROPN
easat-2687	393	7	,	,	PUNCT
easat-2687	393	8	&	&	CCONJ
easat-2687	393	9	t.	t.	PROPN
easat-2687	393	10	hausberger	hausberger	PROPN
easat-2687	393	11	(	(	PUNCT
easat-2687	393	12	eds	ed	NOUN
easat-2687	393	13	.	.	PUNCT
easat-2687	393	14	)	)	PUNCT
easat-2687	393	15	,	,	PUNCT
easat-2687	393	16	proceedings	proceeding	NOUN
easat-2687	393	17	of	of	ADP
easat-2687	393	18	the	the	DET
easat-2687	393	19	first	first	ADJ
easat-2687	393	20	conference	conference	NOUN
easat-2687	393	21	of	of	ADP
easat-2687	393	22	the	the	DET
easat-2687	393	23	international	international	ADJ
easat-2687	393	24	network	network	NOUN
easat-2687	393	25	for	for	ADP
easat-2687	393	26	didactic	didactic	ADJ
easat-2687	393	27	research	research	NOUN
easat-2687	393	28	in	in	ADP
easat-2687	393	29	university	university	NOUN
easat-2687	393	30	mathematics	mathematic	NOUN
easat-2687	393	31	(	(	PUNCT
easat-2687	393	32	pp	pp	ADJ
easat-2687	393	33	.	.	PUNCT
easat-2687	394	1	306–315	306–315	NUM
easat-2687	394	2	)	)	PUNCT
easat-2687	394	3	.	.	PUNCT
easat-2687	395	1	france	france	PROPN
easat-2687	395	2	:	:	PUNCT
easat-2687	395	3	university	university	NOUN
easat-2687	395	4	of	of	ADP
easat-2687	395	5	montpellier	montpellier	NOUN
easat-2687	395	6	and	and	CCONJ
easat-2687	395	7	indrum	indrum	NOUN
easat-2687	396	1	[	[	X
easat-2687	396	2	11	11	NUM
easat-2687	396	3	]	]	X
easat-2687	396	4	lavie	lavie	PROPN
easat-2687	396	5	,	,	PUNCT
easat-2687	396	6	i.	i.	PROPN
easat-2687	396	7	,	,	PUNCT
easat-2687	396	8	steiner	steiner	PROPN
easat-2687	396	9	,	,	PUNCT
easat-2687	396	10	a.	a.	PROPN
easat-2687	396	11	,	,	PUNCT
easat-2687	396	12	&	&	CCONJ
easat-2687	396	13	sfard	sfard	NOUN
easat-2687	396	14	,	,	PUNCT
easat-2687	396	15	a.	a.	NOUN
easat-2687	396	16	(	(	PUNCT
easat-2687	396	17	2019	2019	NUM
easat-2687	396	18	)	)	PUNCT
easat-2687	396	19	.	.	PUNCT
easat-2687	397	1	routines	routine	NOUN
easat-2687	397	2	we	we	PRON
easat-2687	397	3	live	live	VERB
easat-2687	397	4	by	by	ADP
easat-2687	397	5	:	:	PUNCT
easat-2687	397	6	from	from	ADP
easat-2687	397	7	ritual	ritual	ADJ
easat-2687	397	8	to	to	ADP
easat-2687	397	9	exploration	exploration	NOUN
easat-2687	397	10	.	.	PUNCT
easat-2687	398	1	educational	educational	ADJ
easat-2687	398	2	studies	study	NOUN
easat-2687	398	3	in	in	ADP
easat-2687	398	4	mathematics	mathematic	NOUN
easat-2687	398	5	,	,	PUNCT
easat-2687	398	6	101(2	101(2	NUM
easat-2687	398	7	)	)	PUNCT
easat-2687	398	8	,	,	PUNCT
easat-2687	398	9	153–176	153–176	NUM
easat-2687	398	10	.	.	PUNCT
easat-2687	399	1	https://doi.org/10.1007/s10649018-9817-4	https://doi.org/10.1007/s10649018-9817-4	NOUN
easat-2687	400	1	[	[	X
easat-2687	400	2	12	12	NUM
easat-2687	400	3	]	]	X
easat-2687	400	4	lefrida	lefrida	PROPN
easat-2687	400	5	,	,	PUNCT
easat-2687	400	6	r.	r.	PROPN
easat-2687	400	7	,	,	PUNCT
easat-2687	400	8	siswono	siswono	NOUN
easat-2687	400	9	,	,	PUNCT
easat-2687	400	10	t.	t.	PROPN
easat-2687	400	11	y.	y.	PROPN
easat-2687	400	12	e.	e.	PROPN
easat-2687	400	13	,	,	PUNCT
easat-2687	400	14	&	&	CCONJ
easat-2687	400	15	lukito	lukito	PROPN
easat-2687	400	16	,	,	PUNCT
easat-2687	400	17	a.	a.	NOUN
easat-2687	400	18	(	(	PUNCT
easat-2687	400	19	2023	2023	NUM
easat-2687	400	20	)	)	PUNCT
easat-2687	400	21	.	.	PUNCT
easat-2687	401	1	exploring	explore	VERB
easat-2687	401	2	the	the	DET
easat-2687	401	3	field	field	NOUN
easat-2687	401	4	-	-	PUNCT
easat-2687	401	5	independent	independent	NOUN
easat-2687	401	6	student	student	NOUN
easat-2687	401	7	’s	’s	NOUN
easat-2687	401	8	in	in	ADP
easat-2687	401	9	understanding	understand	VERB
easat-2687	401	10	derivative	derivative	ADJ
easat-2687	401	11	concepts	concept	NOUN
easat-2687	401	12	:	:	PUNCT
easat-2687	401	13	a	a	DET
easat-2687	401	14	case	case	NOUN
easat-2687	401	15	of	of	ADP
easat-2687	401	16	commognitive	commognitive	ADJ
easat-2687	401	17	perspective	perspective	NOUN
easat-2687	401	18	.	.	PUNCT
easat-2687	402	1	acta	acta	PROPN
easat-2687	402	2	scientiae	scientiae	PROPN
easat-2687	402	3	,	,	PUNCT
easat-2687	402	4	25(3	25(3	NUM
easat-2687	402	5	)	)	PUNCT
easat-2687	402	6	,	,	PUNCT
easat-2687	402	7	180	180	NUM
easat-2687	402	8	-	-	SYM
easat-2687	402	9	207	207	NUM
easat-2687	402	10	.	.	PUNCT
easat-2687	403	1	https://doi.org/10.17648/acta.scientiae.7097	https://doi.org/10.17648/acta.scientiae.7097	NOUN
easat-2687	403	2	[	[	X
easat-2687	403	3	13	13	NUM
easat-2687	403	4	]	]	X
easat-2687	403	5	merriam	merriam	PROPN
easat-2687	403	6	,	,	PUNCT
easat-2687	403	7	s.b	s.b	PROPN
easat-2687	403	8	&	&	CCONJ
easat-2687	403	9	tisdell	tisdell	PROPN
easat-2687	403	10	,	,	PUNCT
easat-2687	403	11	e.j	e.j	PROPN
easat-2687	403	12	.	.	PROPN
easat-2687	403	13	(	(	PUNCT
easat-2687	403	14	2016	2016	NUM
easat-2687	403	15	)	)	PUNCT
easat-2687	403	16	.	.	PUNCT
easat-2687	404	1	qualitative	qualitative	ADJ
easat-2687	404	2	research	research	NOUN
easat-2687	404	3	:	:	PUNCT
easat-2687	404	4	a	a	DET
easat-2687	404	5	guide	guide	NOUN
easat-2687	404	6	to	to	PART
easat-2687	404	7	design	design	VERB
easat-2687	404	8	and	and	CCONJ
easat-2687	404	9	implementation	implementation	NOUN
easat-2687	404	10	(	(	PUNCT
easat-2687	404	11	4th	4th	ADJ
easat-2687	404	12	ed	ed	NOUN
easat-2687	404	13	)	)	PUNCT
easat-2687	404	14	.	.	PUNCT
easat-2687	405	1	san	san	PROPN
easat-2687	405	2	fransisco	fransisco	PROPN
easat-2687	405	3	,	,	PUNCT
easat-2687	405	4	ca	ca	PROPN
easat-2687	405	5	:	:	PUNCT
easat-2687	405	6	jossey	jossey	NOUN
easat-2687	405	7	-	-	PUNCT
easat-2687	405	8	bass	bass	NOUN
easat-2687	405	9	.	.	PUNCT
easat-2687	406	1	[	[	X
easat-2687	406	2	14	14	NUM
easat-2687	406	3	]	]	SYM
easat-2687	406	4	miles	mile	NOUN
easat-2687	406	5	,	,	PUNCT
easat-2687	406	6	m.	m.	PROPN
easat-2687	406	7	b.	b.	PROPN
easat-2687	406	8	,	,	PUNCT
easat-2687	406	9	huberman	huberman	NOUN
easat-2687	406	10	,	,	PUNCT
easat-2687	406	11	a.	a.	NOUN
easat-2687	406	12	m.	m.	NOUN
easat-2687	406	13	,	,	PUNCT
easat-2687	406	14	&	&	CCONJ
easat-2687	406	15	saldana	saldana	PROPN
easat-2687	406	16	,	,	PUNCT
easat-2687	406	17	j.	j.	PROPN
easat-2687	406	18	(	(	PUNCT
easat-2687	406	19	2014	2014	NUM
easat-2687	406	20	)	)	PUNCT
easat-2687	406	21	.	.	PUNCT
easat-2687	407	1	qualitative	qualitative	ADJ
easat-2687	407	2	data	datum	NOUN
easat-2687	407	3	analysis	analysis	NOUN
easat-2687	407	4	.	.	PUNCT
easat-2687	408	1	sage	sage	NOUN
easat-2687	408	2	publication	publication	NOUN
easat-2687	408	3	.	.	PUNCT
easat-2687	409	1	[	[	X
easat-2687	409	2	15	15	NUM
easat-2687	409	3	]	]	X
easat-2687	409	4	nachlieli	nachlieli	ADJ
easat-2687	409	5	,	,	PUNCT
easat-2687	409	6	t.	t.	PROPN
easat-2687	409	7	,	,	PUNCT
easat-2687	409	8	&	&	CCONJ
easat-2687	409	9	tabach	tabach	PROPN
easat-2687	409	10	,	,	PUNCT
easat-2687	409	11	m.	m.	NOUN
easat-2687	409	12	(	(	PUNCT
easat-2687	409	13	2019	2019	NUM
easat-2687	409	14	)	)	PUNCT
easat-2687	409	15	.	.	PUNCT
easat-2687	410	1	ritual	ritual	ADJ
easat-2687	410	2	-	-	PUNCT
easat-2687	410	3	enabling	enable	VERB
easat-2687	410	4	opportunities	opportunity	NOUN
easat-2687	410	5	-	-	PUNCT
easat-2687	410	6	to	to	PART
easat-2687	410	7	-	-	PUNCT
easat-2687	410	8	learn	learn	VERB
easat-2687	410	9	in	in	ADP
easat-2687	410	10	mathematics	mathematics	NOUN
easat-2687	410	11	classrooms	classroom	NOUN
easat-2687	410	12	.	.	PUNCT
easat-2687	411	1	educational	educational	ADJ
easat-2687	411	2	studies	study	NOUN
easat-2687	411	3	in	in	ADP
easat-2687	411	4	mathematics	mathematic	NOUN
easat-2687	411	5	,	,	PUNCT
easat-2687	411	6	101(2	101(2	NUM
easat-2687	411	7	)	)	PUNCT
easat-2687	411	8	,	,	PUNCT
easat-2687	411	9	253–271	253–271	NUM
easat-2687	411	10	.	.	PUNCT
easat-2687	412	1	https://doi.org/10.1007/s10649-018-9848-x	https://doi.org/10.1007/s10649-018-9848-x	PROPN
easat-2687	412	2	[	[	X
easat-2687	412	3	16	16	NUM
easat-2687	412	4	]	]	PUNCT
easat-2687	412	5	nachlieli	nachlieli	ADJ
easat-2687	412	6	,	,	PUNCT
easat-2687	412	7	t.	t.	PROPN
easat-2687	412	8	,	,	PUNCT
easat-2687	412	9	heyd	heyd	ADJ
easat-2687	412	10	-	-	PUNCT
easat-2687	412	11	metzuyanim	metzuyanim	NOUN
easat-2687	412	12	,	,	PUNCT
easat-2687	412	13	e.	e.	PROPN
easat-2687	412	14	commognitive	commognitive	PROPN
easat-2687	412	15	conflicts	conflict	NOUN
easat-2687	412	16	as	as	ADP
easat-2687	412	17	a	a	DET
easat-2687	412	18	learning	learning	NOUN
easat-2687	412	19	mechanism	mechanism	NOUN
easat-2687	412	20	towards	towards	ADP
easat-2687	412	21	explorative	explorative	ADJ
easat-2687	412	22	pedagogical	pedagogical	ADJ
easat-2687	412	23	discourse	discourse	NOUN
easat-2687	412	24	.	.	PUNCT
easat-2687	413	1	journal	journal	PROPN
easat-2687	413	2	of	of	ADP
easat-2687	413	3	mathematics	mathematics	PROPN
easat-2687	413	4	teacher	teacher	NOUN
easat-2687	413	5	education	education	NOUN
easat-2687	413	6	25	25	NUM
easat-2687	413	7	,	,	PUNCT
easat-2687	413	8	347–369	347–369	NUM
easat-2687	413	9	(	(	PUNCT
easat-2687	413	10	2022	2022	NUM
easat-2687	413	11	)	)	PUNCT
easat-2687	413	12	.	.	PUNCT
easat-2687	414	1	https://doi.org/10.1007/s10857021-09495-3	https://doi.org/10.1007/s10857021-09495-3	PROPN
easat-2687	415	1	[	[	X
easat-2687	415	2	17	17	NUM
easat-2687	415	3	]	]	X
easat-2687	415	4	nisa	nisa	PROPN
easat-2687	415	5	,	,	PUNCT
easat-2687	415	6	z.	z.	PROPN
easat-2687	415	7	,	,	PUNCT
easat-2687	415	8	&	&	CCONJ
easat-2687	415	9	lukito	lukito	PROPN
easat-2687	415	10	,	,	PUNCT
easat-2687	415	11	a.	a.	NOUN
easat-2687	415	12	(	(	PUNCT
easat-2687	415	13	2021	2021	NUM
easat-2687	415	14	,	,	PUNCT
easat-2687	415	15	march	march	PROPN
easat-2687	415	16	)	)	PUNCT
easat-2687	415	17	.	.	PUNCT
easat-2687	416	1	students	student	NOUN
easat-2687	416	2	mathematical	mathematical	ADJ
easat-2687	416	3	discourse	discourse	NOUN
easat-2687	416	4	analysis	analysis	NOUN
easat-2687	416	5	by	by	ADP
easat-2687	416	6	commognition	commognition	NOUN
easat-2687	416	7	theory	theory	NOUN
easat-2687	416	8	in	in	ADP
easat-2687	416	9	solving	solve	VERB
easat-2687	416	10	absolute	absolute	ADJ
easat-2687	416	11	value	value	NOUN
easat-2687	416	12	equation	equation	NOUN
easat-2687	416	13	.	.	PUNCT
easat-2687	417	1	in	in	ADP
easat-2687	417	2	journal	journal	PROPN
easat-2687	417	3	of	of	ADP
easat-2687	417	4	physics	physics	PROPN
easat-2687	417	5	:	:	PUNCT
easat-2687	417	6	conference	conference	NOUN
easat-2687	417	7	series	series	NOUN
easat-2687	417	8	(	(	PUNCT
easat-2687	417	9	vol	vol	NOUN
easat-2687	417	10	.	.	PUNCT
easat-2687	417	11	1808	1808	NUM
easat-2687	417	12	,	,	PUNCT
easat-2687	417	13	no	no	INTJ
easat-2687	417	14	.	.	NOUN
easat-2687	417	15	1	1	NUM
easat-2687	417	16	,	,	PUNCT
easat-2687	417	17	p.	p.	NOUN
easat-2687	417	18	012065	012065	NUM
easat-2687	417	19	)	)	PUNCT
easat-2687	417	20	.	.	PUNCT
easat-2687	418	1	iop	iop	NOUN
easat-2687	418	2	publishing	publishing	NOUN
easat-2687	418	3	.	.	PUNCT
easat-2687	419	1	https://doi.org/10.1088/1742-6596/1808/1/012065	https://doi.org/10.1088/1742-6596/1808/1/012065	X
easat-2687	420	1	[	[	X
easat-2687	420	2	18	18	NUM
easat-2687	420	3	]	]	X
easat-2687	420	4	papadouris	papadouris	PROPN
easat-2687	420	5	,	,	PUNCT
easat-2687	420	6	j.p	j.p	PROPN
easat-2687	420	7	.	.	PROPN
easat-2687	420	8	,	,	PUNCT
easat-2687	420	9	komis	komis	PROPN
easat-2687	420	10	,	,	PUNCT
easat-2687	420	11	v.	v.	PROPN
easat-2687	420	12	&	&	CCONJ
easat-2687	420	13	lavidas	lavidas	PROPN
easat-2687	420	14	,	,	PUNCT
easat-2687	420	15	k.	k.	PROPN
easat-2687	420	16	errors	error	NOUN
easat-2687	420	17	and	and	CCONJ
easat-2687	420	18	misconceptions	misconception	NOUN
easat-2687	420	19	of	of	ADP
easat-2687	420	20	secondary	secondary	ADJ
easat-2687	420	21	school	school	NOUN
easat-2687	420	22	students	student	NOUN
easat-2687	420	23	in	in	ADP
easat-2687	420	24	absolute	absolute	ADJ
easat-2687	420	25	values	value	NOUN
easat-2687	420	26	:	:	PUNCT
easat-2687	420	27	a	a	DET
easat-2687	420	28	systematic	systematic	ADJ
easat-2687	420	29	literature	literature	NOUN
easat-2687	420	30	review	review	NOUN
easat-2687	420	31	.	.	PUNCT
easat-2687	421	1	math	math	PROPN
easat-2687	421	2	ed	ed	PROPN
easat-2687	421	3	res	res	PROPN
easat-2687	421	4	j	j	PROPN
easat-2687	421	5	(	(	PUNCT
easat-2687	421	6	2024	2024	NUM
easat-2687	421	7	)	)	PUNCT
easat-2687	421	8	.	.	PUNCT
easat-2687	422	1	https://doi.org/10.1007/s13394-024-00499-9	https://doi.org/10.1007/s13394-024-00499-9	NUM
easat-2687	423	1	[	[	X
easat-2687	423	2	19	19	NUM
easat-2687	423	3	]	]	PUNCT
easat-2687	423	4	sfard	sfard	NOUN
easat-2687	423	5	,	,	PUNCT
easat-2687	423	6	a.	a.	NOUN
easat-2687	423	7	(	(	PUNCT
easat-2687	423	8	2007	2007	NUM
easat-2687	423	9	)	)	PUNCT
easat-2687	423	10	.	.	PUNCT
easat-2687	424	1	when	when	SCONJ
easat-2687	424	2	the	the	DET
easat-2687	424	3	rules	rule	NOUN
easat-2687	424	4	of	of	ADP
easat-2687	424	5	discourse	discourse	NOUN
easat-2687	424	6	change	change	NOUN
easat-2687	424	7	,	,	PUNCT
easat-2687	424	8	but	but	CCONJ
easat-2687	424	9	nobody	nobody	PRON
easat-2687	424	10	tells	tell	VERB
easat-2687	424	11	you	you	PRON
easat-2687	424	12	:	:	PUNCT
easat-2687	424	13	making	make	VERB
easat-2687	424	14	sense	sense	NOUN
easat-2687	424	15	of	of	ADP
easat-2687	424	16	mathematics	mathematic	NOUN
easat-2687	424	17	learning	learn	VERB
easat-2687	424	18	from	from	ADP
easat-2687	424	19	a	a	DET
easat-2687	424	20	commognitive	commognitive	ADJ
easat-2687	424	21	standpoint	standpoint	NOUN
easat-2687	424	22	.	.	PUNCT
easat-2687	425	1	the	the	DET
easat-2687	425	2	journal	journal	NOUN
easat-2687	425	3	of	of	ADP
easat-2687	425	4	the	the	DET
easat-2687	425	5	learning	learning	NOUN
easat-2687	425	6	science	science	NOUN
easat-2687	425	7	,	,	PUNCT
easat-2687	425	8	16(4	16(4	NUM
easat-2687	425	9	)	)	PUNCT
easat-2687	425	10	,	,	PUNCT
easat-2687	425	11	567–615	567–615	NUM
easat-2687	425	12	.	.	PUNCT
easat-2687	426	1	[	[	X
easat-2687	426	2	20	20	NUM
easat-2687	426	3	]	]	SYM
easat-2687	426	4	sfard	sfard	NOUN
easat-2687	426	5	,	,	PUNCT
easat-2687	426	6	a.	a.	NOUN
easat-2687	426	7	(	(	PUNCT
easat-2687	426	8	2008	2008	NUM
easat-2687	426	9	)	)	PUNCT
easat-2687	426	10	.	.	PUNCT
easat-2687	427	1	thinking	think	VERB
easat-2687	427	2	as	as	ADP
easat-2687	427	3	communicating	communicate	VERB
easat-2687	427	4	:	:	PUNCT
easat-2687	427	5	human	human	ADJ
easat-2687	427	6	development	development	NOUN
easat-2687	427	7	,	,	PUNCT
easat-2687	427	8	development	development	NOUN
easat-2687	427	9	of	of	ADP
easat-2687	427	10	discourses	discourse	NOUN
easat-2687	427	11	,	,	PUNCT
easat-2687	427	12	and	and	CCONJ
easat-2687	427	13	mathematizing	mathematizing	NOUN
easat-2687	427	14	.	.	PUNCT
easat-2687	428	1	cambridge	cambridge	PROPN
easat-2687	428	2	university	university	PROPN
easat-2687	428	3	press	press	NOUN
easat-2687	428	4	.	.	PUNCT
easat-2687	429	1	[	[	X
easat-2687	429	2	21	21	NUM
easat-2687	429	3	]	]	PUNCT
easat-2687	429	4	sfard	sfard	NOUN
easat-2687	429	5	,	,	PUNCT
easat-2687	429	6	a.	a.	NOUN
easat-2687	429	7	(	(	PUNCT
easat-2687	429	8	2012	2012	NUM
easat-2687	429	9	)	)	PUNCT
easat-2687	429	10	.	.	PUNCT
easat-2687	430	1	introduction	introduction	NOUN
easat-2687	430	2	:	:	PUNCT
easat-2687	430	3	developing	develop	VERB
easat-2687	430	4	mathematical	mathematical	ADJ
easat-2687	430	5	discourse	discourse	NOUN
easat-2687	430	6	—	—	PUNCT
easat-2687	430	7	some	some	DET
easat-2687	430	8	insights	insight	NOUN
easat-2687	430	9	from	from	ADP
easat-2687	430	10	communicational	communicational	ADJ
easat-2687	430	11	research	research	NOUN
easat-2687	430	12	.	.	PUNCT
easat-2687	431	1	editorial	editorial	NOUN
easat-2687	431	2	/	/	SYM
easat-2687	431	3	international	international	ADJ
easat-2687	431	4	journal	journal	NOUN
easat-2687	431	5	of	of	ADP
easat-2687	431	6	educational	educational	ADJ
easat-2687	431	7	research	research	NOUN
easat-2687	431	8	,	,	PUNCT
easat-2687	431	9	51–52	51–52	NUM
easat-2687	431	10	,	,	PUNCT
easat-2687	431	11	1–9	1–9	NOUN
easat-2687	431	12	.	.	PUNCT
easat-2687	432	1	https://doi.org/10.1016/j.ijer.2011.12.013	https://doi.org/10.1016/j.ijer.2011.12.013	NUM
easat-2687	432	2	[	[	X
easat-2687	432	3	22	22	NUM
easat-2687	432	4	]	]	PUNCT
easat-2687	432	5	sfard	sfard	NOUN
easat-2687	432	6	,	,	PUNCT
easat-2687	432	7	a.	a.	NOUN
easat-2687	432	8	(	(	PUNCT
easat-2687	432	9	2020	2020	NUM
easat-2687	432	10	)	)	PUNCT
easat-2687	432	11	.	.	PUNCT
easat-2687	433	1	commognition	commognition	NOUN
easat-2687	433	2	.	.	PUNCT
easat-2687	434	1	in	in	ADP
easat-2687	434	2	stephen	stephen	PROPN
easat-2687	434	3	lerman	lerman	PROPN
easat-2687	434	4	(	(	PUNCT
easat-2687	434	5	ed	ed	NOUN
easat-2687	434	6	.	.	PUNCT
easat-2687	434	7	)	)	PUNCT
easat-2687	434	8	,	,	PUNCT
easat-2687	434	9	encyclopedia	encyclopedia	NOUN
easat-2687	434	10	of	of	ADP
easat-2687	434	11	mathematics	mathematics	PROPN
easat-2687	434	12	education	education	NOUN
easat-2687	434	13	(	(	PUNCT
easat-2687	434	14	pp	pp	ADJ
easat-2687	434	15	.	.	PUNCT
easat-2687	435	1	91	91	NUM
easat-2687	435	2	-	-	SYM
easat-2687	435	3	101	101	NUM
easat-2687	435	4	)	)	PUNCT
easat-2687	435	5	.	.	PUNCT
easat-2687	436	1	international	international	ADJ
easat-2687	436	2	publishing	publishing	NOUN
easat-2687	436	3	springer	springer	NOUN
easat-2687	436	4	nature	nature	NOUN
easat-2687	436	5	.	.	PUNCT
easat-2687	437	1	[	[	X
easat-2687	437	2	23	23	NUM
easat-2687	437	3	]	]	PUNCT
easat-2687	437	4	sfard	sfard	NOUN
easat-2687	437	5	,	,	PUNCT
easat-2687	437	6	a.	a.	NOUN
easat-2687	437	7	(	(	PUNCT
easat-2687	437	8	2021	2021	NUM
easat-2687	437	9	)	)	PUNCT
easat-2687	437	10	.	.	PUNCT
easat-2687	438	1	bewitched	bewitch	VERB
easat-2687	438	2	by	by	ADP
easat-2687	438	3	language	language	NOUN
easat-2687	438	4	:	:	PUNCT
easat-2687	438	5	questions	question	NOUN
easat-2687	438	6	on	on	ADP
easat-2687	438	7	language	language	NOUN
easat-2687	438	8	for	for	ADP
easat-2687	438	9	mathematics	mathematics	NOUN
easat-2687	438	10	education	education	NOUN
easat-2687	438	11	research	research	NOUN
easat-2687	438	12	.	.	PUNCT
easat-2687	439	1	in	in	ADP
easat-2687	439	2	n.	n.	PROPN
easat-2687	439	3	planas	planas	PROPN
easat-2687	439	4	,	,	PUNCT
easat-2687	439	5	c.	c.	PROPN
easat-2687	439	6	morgan	morgan	PROPN
easat-2687	439	7	,	,	PUNCT
easat-2687	439	8	&	&	CCONJ
easat-2687	439	9	m.	m.	PROPN
easat-2687	439	10	schütte	schütte	PROPN
easat-2687	439	11	(	(	PUNCT
easat-2687	439	12	eds	ed	NOUN
easat-2687	439	13	.	.	PUNCT
easat-2687	439	14	)	)	PUNCT
easat-2687	439	15	,	,	PUNCT
easat-2687	439	16	classroom	classroom	NOUN
easat-2687	439	17	research	research	NOUN
easat-2687	439	18	on	on	ADP
easat-2687	439	19	mathematics	mathematic	NOUN
easat-2687	439	20	and	and	CCONJ
easat-2687	439	21	language	language	NOUN
easat-2687	439	22	:	:	PUNCT
easat-2687	439	23	seeing	see	VERB
easat-2687	439	24	learners	learner	NOUN
easat-2687	439	25	and	and	CCONJ
easat-2687	439	26	teachers	teacher	NOUN
easat-2687	439	27	differently	differently	ADV
easat-2687	439	28	(	(	PUNCT
easat-2687	439	29	pp	pp	PROPN
easat-2687	439	30	.	.	PUNCT
easat-2687	439	31	41–59	41–59	PROPN
easat-2687	439	32	)	)	PUNCT
easat-2687	439	33	.	.	PUNCT
easat-2687	440	1	routledge	routledge	PROPN
easat-2687	440	2	/	/	SYM
easat-2687	440	3	taylor	taylor	PROPN
easat-2687	440	4	&	&	CCONJ
easat-2687	440	5	francis	francis	PROPN
easat-2687	440	6	group	group	PROPN
easat-2687	440	7	.	.	PUNCT
easat-2687	441	1	https://doi.org/10.4324/9780429260889-4	https://doi.org/10.4324/9780429260889-4	PROPN
easat-2687	442	1	[	[	X
easat-2687	442	2	24	24	NUM
easat-2687	442	3	]	]	X
easat-2687	442	4	tall	tall	ADJ
easat-2687	442	5	,	,	PUNCT
easat-2687	442	6	d.	d.	PROPN
easat-2687	442	7	,	,	PUNCT
easat-2687	442	8	&	&	CCONJ
easat-2687	442	9	vinner	vinner	NOUN
easat-2687	442	10	,	,	PUNCT
easat-2687	442	11	s.	s.	PROPN
easat-2687	442	12	(	(	PUNCT
easat-2687	442	13	1981	1981	NUM
easat-2687	442	14	)	)	PUNCT
easat-2687	442	15	.	.	PUNCT
easat-2687	443	1	concept	concept	NOUN
easat-2687	443	2	image	image	NOUN
easat-2687	443	3	and	and	CCONJ
easat-2687	443	4	concept	concept	NOUN
easat-2687	443	5	deinition	deinition	NOUN
easat-2687	443	6	in	in	ADP
easat-2687	443	7	mathematics	mathematic	NOUN
easat-2687	443	8	with	with	ADP
easat-2687	443	9	particular	particular	ADJ
easat-2687	443	10	reference	reference	NOUN
easat-2687	443	11	to	to	ADP
easat-2687	443	12	limits	limit	NOUN
easat-2687	443	13	and	and	CCONJ
easat-2687	443	14	continuity	continuity	NOUN
easat-2687	443	15	.	.	PUNCT
easat-2687	444	1	educational	educational	ADJ
easat-2687	444	2	studies	study	NOUN
easat-2687	444	3	in	in	ADP
easat-2687	444	4	mathematics	mathematic	NOUN
easat-2687	444	5	,	,	PUNCT
easat-2687	444	6	12(2	12(2	NUM
easat-2687	444	7	)	)	PUNCT
easat-2687	444	8	,	,	PUNCT
easat-2687	444	9	151–169	151–169	NUM
easat-2687	444	10	.	.	PUNCT
easat-2687	444	11	https://doi.org/10.1007/bf00305619	https://doi.org/10.1007/bf00305619	PUNCT
easat-2687	445	1	[	[	X
easat-2687	445	2	25	25	NUM
easat-2687	445	3	]	]	X
easat-2687	445	4	tong	tong	PROPN
easat-2687	445	5	,	,	PUNCT
easat-2687	445	6	d.	d.	PROPN
easat-2687	445	7	h.	h.	PROPN
easat-2687	445	8	,	,	PUNCT
easat-2687	445	9	uyen	uyen	PROPN
easat-2687	445	10	,	,	PUNCT
easat-2687	445	11	b.	b.	PROPN
easat-2687	445	12	p.	p.	PROPN
easat-2687	445	13	,	,	PUNCT
easat-2687	445	14	&	&	CCONJ
easat-2687	445	15	quoc	quoc	PROPN
easat-2687	445	16	,	,	PUNCT
easat-2687	445	17	n.	n.	PROPN
easat-2687	445	18	v.	v.	ADP
easat-2687	445	19	a.	a.	PROPN
easat-2687	445	20	(	(	PUNCT
easat-2687	445	21	2021	2021	NUM
easat-2687	445	22	)	)	PUNCT
easat-2687	445	23	.	.	PUNCT
easat-2687	446	1	the	the	DET
easat-2687	446	2	improvement	improvement	NOUN
easat-2687	446	3	of	of	ADP
easat-2687	446	4	10th	10th	ADJ
easat-2687	446	5	students	student	NOUN
easat-2687	446	6	'	'	PART
easat-2687	446	7	mathematical	mathematical	ADJ
easat-2687	446	8	communication	communication	NOUN
easat-2687	446	9	skills	skill	NOUN
easat-2687	446	10	through	through	ADP
easat-2687	446	11	learning	learn	VERB
easat-2687	446	12	ellipse	ellipse	NOUN
easat-2687	446	13	topics	topic	NOUN
easat-2687	446	14	.	.	PUNCT
easat-2687	447	1	heliyon	heliyon	NOUN
easat-2687	447	2	,	,	PUNCT
easat-2687	447	3	7(11	7(11	NUM
easat-2687	447	4	)	)	PUNCT
easat-2687	447	5	,	,	PUNCT
easat-2687	447	6	2021	2021	NUM
easat-2687	447	7	,	,	PUNCT
easat-2687	447	8	https://doi.org/10.1016/j.heliyon.2021.e08282	https://doi.org/10.1016/j.heliyon.2021.e08282	PROPN
easat-2687	447	9	https://doi.org/10.17648/acta.scientiae.7097	https://doi.org/10.17648/acta.scientiae.7097	ADV
easat-2687	447	10	https://doi.org/10.1007/s10649-018-9848-x	https://doi.org/10.1007/s10649-018-9848-x	PROPN
easat-2687	447	11	https://doi.org/10.1007/s10857-021-09495-3	https://doi.org/10.1007/s10857-021-09495-3	PROPN
easat-2687	447	12	https://doi.org/10.1007/s10857-021-09495-3	https://doi.org/10.1007/s10857-021-09495-3	NOUN
easat-2687	447	13	https://doi.org/10.1088/1742-6596/1808/1/012065	https://doi.org/10.1088/1742-6596/1808/1/012065	PROPN
easat-2687	448	1	https://doi.org/10.1016/j.ijer.2011.12.013	https://doi.org/10.1016/j.ijer.2011.12.013	PROPN
easat-2687	448	2	https://psycnet.apa.org/doi/10.4324/9780429260889-4	https://psycnet.apa.org/doi/10.4324/9780429260889-4	NOUN
easat-2687	448	3	https://doi.org/10.1007/bf00305619	https://doi.org/10.1007/bf00305619	NOUN
easat-2687	448	4	https://doi.org/10.1016/j.heliyon.2021.e08282	https://doi.org/10.1016/j.heliyon.2021.e08282	NOUN