id	sid	tid	token	lemma	pos
educationr-3693	1	1	review	review	NOUN
educationr-3693	1	2	of	of	ADP
educationr-3693	1	3	the	the	DET
educationr-3693	1	4	personality	personality	NOUN
educationr-3693	1	5	of	of	ADP
educationr-3693	1	6	math	math	NOUN
educationr-3693	1	7	:	:	PUNCT
educationr-3693	1	8	a	a	DET
educationr-3693	1	9	key	key	NOUN
educationr-3693	1	10	to	to	ADP
educationr-3693	1	11	learning	learn	VERB
educationr-3693	1	12	and	and	CCONJ
educationr-3693	1	13	teaching	teach	VERB
educationr-3693	1	14	math	math	NOUN
educationr-3693	1	15	fowler	fowler	PROPN
educationr-3693	1	16	,	,	PUNCT
educationr-3693	1	17	d.	d.	PROPN
educationr-3693	1	18	(	(	PUNCT
educationr-3693	1	19	2022	2022	NUM
educationr-3693	1	20	,	,	PUNCT
educationr-3693	1	21	march	march	PROPN
educationr-3693	1	22	29	29	NUM
educationr-3693	1	23	)	)	PUNCT
educationr-3693	1	24	.	.	PUNCT
educationr-3693	2	1	review	review	NOUN
educationr-3693	2	2	of	of	ADP
educationr-3693	2	3	the	the	DET
educationr-3693	2	4	personality	personality	NOUN
educationr-3693	2	5	of	of	ADP
educationr-3693	2	6	math	math	NOUN
educationr-3693	2	7	:	:	PUNCT
educationr-3693	2	8	a	a	DET
educationr-3693	2	9	key	key	NOUN
educationr-3693	2	10	to	to	ADP
educationr-3693	2	11	learning	learn	VERB
educationr-3693	2	12	and	and	CCONJ
educationr-3693	2	13	teaching	teach	VERB
educationr-3693	2	14	math	math	NOUN
educationr-3693	2	15	by	by	ADP
educationr-3693	2	16	p.	p.	PROPN
educationr-3693	2	17	a.	a.	PROPN
educationr-3693	2	18	wagner	wagner	PROPN
educationr-3693	2	19	&	&	CCONJ
educationr-3693	2	20	f.	f.	PROPN
educationr-3693	2	21	fair	fair	PROPN
educationr-3693	3	1	[	[	X
educationr-3693	3	2	book	book	NOUN
educationr-3693	3	3	review	review	NOUN
educationr-3693	3	4	]	]	PUNCT
educationr-3693	3	5	.	.	PUNCT
educationr-3693	4	1	education	education	PROPN
educationr-3693	4	2	review	review	PROPN
educationr-3693	4	3	,	,	PUNCT
educationr-3693	4	4	30	30	NUM
educationr-3693	4	5	.	.	PUNCT
educationr-3693	5	1	https://doi.org/10.14507/er.v30.3693	https://doi.org/10.14507/er.v30.3693	ADJ
educationr-3693	5	2	march	march	PROPN
educationr-3693	5	3	29	29	NUM
educationr-3693	5	4	,	,	PUNCT
educationr-3693	5	5	2023	2023	NUM
educationr-3693	5	6	issn	issn	PROPN
educationr-3693	5	7	1094	1094	NUM
educationr-3693	5	8	-	-	SYM
educationr-3693	5	9	5296	5296	NUM
educationr-3693	5	10	wagner	wagner	PROPN
educationr-3693	5	11	,	,	PUNCT
educationr-3693	5	12	p.	p.	NOUN
educationr-3693	5	13	a.	a.	PROPN
educationr-3693	5	14	,	,	PUNCT
educationr-3693	5	15	&	&	CCONJ
educationr-3693	5	16	fair	fair	PROPN
educationr-3693	5	17	,	,	PUNCT
educationr-3693	5	18	f.	f.	PROPN
educationr-3693	5	19	(	(	PUNCT
educationr-3693	5	20	2022	2022	NUM
educationr-3693	5	21	)	)	PUNCT
educationr-3693	5	22	.	.	PUNCT
educationr-3693	6	1	the	the	DET
educationr-3693	6	2	personality	personality	NOUN
educationr-3693	6	3	of	of	ADP
educationr-3693	6	4	math	math	NOUN
educationr-3693	6	5	:	:	PUNCT
educationr-3693	6	6	a	a	DET
educationr-3693	6	7	key	key	NOUN
educationr-3693	6	8	to	to	ADP
educationr-3693	6	9	learning	learn	VERB
educationr-3693	6	10	and	and	CCONJ
educationr-3693	6	11	teaching	teach	VERB
educationr-3693	6	12	math	math	NOUN
educationr-3693	6	13	.	.	PUNCT
educationr-3693	7	1	rowman	rowman	PROPN
educationr-3693	7	2	and	and	CCONJ
educationr-3693	7	3	littlefield	littlefield	PROPN
educationr-3693	7	4	.	.	PUNCT
educationr-3693	8	1	pp	pp	ADJ
educationr-3693	8	2	.	.	PUNCT
educationr-3693	9	1	152	152	NUM
educationr-3693	9	2	isbn	isbn	NOUN
educationr-3693	9	3	:	:	PUNCT
educationr-3693	9	4	978	978	NUM
educationr-3693	9	5	-	-	SYM
educationr-3693	9	6	1475862973	1475862973	NUM
educationr-3693	9	7	reviewed	review	VERB
educationr-3693	9	8	by	by	ADP
educationr-3693	9	9	david	david	PROPN
educationr-3693	9	10	fowler	fowler	PROPN
educationr-3693	9	11	university	university	PROPN
educationr-3693	9	12	of	of	ADP
educationr-3693	9	13	nebraska	nebraska	PROPN
educationr-3693	9	14	,	,	PUNCT
educationr-3693	9	15	lincoln	lincoln	PROPN
educationr-3693	9	16	united	united	PROPN
educationr-3693	9	17	states	states	PROPN
educationr-3693	9	18	in	in	ADP
educationr-3693	9	19	january	january	PROPN
educationr-3693	9	20	2018	2018	NUM
educationr-3693	9	21	,	,	PUNCT
educationr-3693	9	22	the	the	DET
educationr-3693	9	23	american	american	PROPN
educationr-3693	9	24	mathematical	mathematical	PROPN
educationr-3693	9	25	society	society	NOUN
educationr-3693	9	26	introduced	introduce	VERB
educationr-3693	9	27	a	a	DET
educationr-3693	9	28	colorful	colorful	ADJ
educationr-3693	9	29	and	and	CCONJ
educationr-3693	9	30	modern	modern	ADJ
educationr-3693	9	31	-	-	PUNCT
educationr-3693	9	32	looking	look	VERB
educationr-3693	9	33	image	image	NOUN
educationr-3693	9	34	to	to	PART
educationr-3693	9	35	serve	serve	VERB
educationr-3693	9	36	as	as	ADP
educationr-3693	9	37	the	the	DET
educationr-3693	9	38	official	official	ADJ
educationr-3693	9	39	seal	seal	NOUN
educationr-3693	9	40	of	of	ADP
educationr-3693	9	41	the	the	DET
educationr-3693	9	42	society	society	NOUN
educationr-3693	9	43	.	.	PUNCT
educationr-3693	10	1	the	the	DET
educationr-3693	10	2	previous	previous	ADJ
educationr-3693	10	3	image	image	NOUN
educationr-3693	10	4	—	—	PUNCT
educationr-3693	10	5	a	a	DET
educationr-3693	10	6	stylized	stylize	VERB
educationr-3693	10	7	grecian	grecian	ADJ
educationr-3693	10	8	temple	temple	NOUN
educationr-3693	10	9	with	with	ADP
educationr-3693	10	10	greek	greek	ADJ
educationr-3693	10	11	characters	character	NOUN
educationr-3693	10	12	stating	state	VERB
educationr-3693	10	13	“	"	PUNCT
educationr-3693	10	14	no	no	DET
educationr-3693	10	15	entrance	entrance	NOUN
educationr-3693	10	16	without	without	ADP
educationr-3693	10	17	knowledge	knowledge	NOUN
educationr-3693	10	18	of	of	ADP
educationr-3693	10	19	geometry	geometry	NOUN
educationr-3693	10	20	”	"	PUNCT
educationr-3693	10	21	was	be	AUX
educationr-3693	10	22	discarded	discard	VERB
educationr-3693	10	23	when	when	SCONJ
educationr-3693	10	24	recent	recent	ADJ
educationr-3693	10	25	historical	historical	ADJ
educationr-3693	10	26	research	research	NOUN
educationr-3693	10	27	raised	raise	VERB
educationr-3693	10	28	doubts	doubt	NOUN
educationr-3693	10	29	about	about	ADP
educationr-3693	10	30	the	the	DET
educationr-3693	10	31	story	story	NOUN
educationr-3693	10	32	that	that	PRON
educationr-3693	10	33	plato	plato	PROPN
educationr-3693	10	34	’s	’s	PART
educationr-3693	10	35	academy	academy	PROPN
educationr-3693	10	36	bore	bore	PROPN
educationr-3693	10	37	this	this	DET
educationr-3693	10	38	motto	motto	NOUN
educationr-3693	10	39	above	above	ADP
educationr-3693	10	40	its	its	PRON
educationr-3693	10	41	entrance	entrance	NOUN
educationr-3693	10	42	.	.	PUNCT
educationr-3693	11	1	furthermore	furthermore	ADV
educationr-3693	11	2	,	,	PUNCT
educationr-3693	11	3	market	market	NOUN
educationr-3693	11	4	research	research	NOUN
educationr-3693	11	5	showed	show	VERB
educationr-3693	11	6	that	that	SCONJ
educationr-3693	11	7	the	the	DET
educationr-3693	11	8	younger	young	ADJ
educationr-3693	11	9	members	member	NOUN
educationr-3693	11	10	of	of	ADP
educationr-3693	11	11	the	the	DET
educationr-3693	11	12	society	society	NOUN
educationr-3693	11	13	associated	associate	VERB
educationr-3693	11	14	a	a	DET
educationr-3693	11	15	classic	classic	ADJ
educationr-3693	11	16	greek	greek	NOUN
educationr-3693	11	17	temple	temple	NOUN
educationr-3693	11	18	with	with	ADP
educationr-3693	11	19	a	a	DET
educationr-3693	11	20	financial	financial	ADJ
educationr-3693	11	21	institution	institution	NOUN
educationr-3693	11	22	,	,	PUNCT
educationr-3693	11	23	not	not	PART
educationr-3693	11	24	with	with	ADP
educationr-3693	11	25	mathematics	mathematic	NOUN
educationr-3693	11	26	(	(	PUNCT
educationr-3693	11	27	ribet	ribet	NOUN
educationr-3693	11	28	,	,	PUNCT
educationr-3693	11	29	2018	2018	NUM
educationr-3693	11	30	)	)	PUNCT
educationr-3693	11	31	.	.	PUNCT
educationr-3693	12	1	thus	thus	ADV
educationr-3693	12	2	,	,	PUNCT
educationr-3693	12	3	even	even	ADV
educationr-3693	12	4	among	among	ADP
educationr-3693	12	5	mathematicians	mathematician	NOUN
educationr-3693	12	6	,	,	PUNCT
educationr-3693	12	7	an	an	DET
educationr-3693	12	8	older	old	ADJ
educationr-3693	12	9	mindset	mindset	NOUN
educationr-3693	12	10	sometimes	sometimes	ADV
educationr-3693	12	11	needs	need	VERB
educationr-3693	12	12	to	to	PART
educationr-3693	12	13	be	be	AUX
educationr-3693	12	14	replaced	replace	VERB
educationr-3693	12	15	with	with	ADP
educationr-3693	12	16	a	a	DET
educationr-3693	12	17	newer	new	ADJ
educationr-3693	12	18	one	one	NUM
educationr-3693	12	19	.	.	PUNCT
educationr-3693	13	1	among	among	ADP
educationr-3693	13	2	non	non	ADJ
educationr-3693	13	3	-	-	NOUN
educationr-3693	13	4	mathematicians	mathematician	NOUN
educationr-3693	13	5	,	,	PUNCT
educationr-3693	13	6	an	an	DET
educationr-3693	13	7	image	image	NOUN
educationr-3693	13	8	most	most	ADV
educationr-3693	13	9	likely	likely	ADV
educationr-3693	13	10	associated	associate	VERB
educationr-3693	13	11	with	with	ADP
educationr-3693	13	12	mathematics	mathematic	NOUN
educationr-3693	13	13	would	would	AUX
educationr-3693	13	14	be	be	AUX
educationr-3693	13	15	a	a	DET
educationr-3693	13	16	chalkboard	chalkboard	NOUN
educationr-3693	13	17	covered	cover	VERB
educationr-3693	13	18	with	with	ADP
educationr-3693	13	19	obscure	obscure	ADJ
educationr-3693	13	20	symbols	symbol	NOUN
educationr-3693	13	21	.	.	PUNCT
educationr-3693	14	1	for	for	ADP
educationr-3693	14	2	some	some	PRON
educationr-3693	14	3	,	,	PUNCT
educationr-3693	14	4	whether	whether	SCONJ
educationr-3693	14	5	mathematicians	mathematician	NOUN
educationr-3693	14	6	or	or	CCONJ
educationr-3693	14	7	not	not	PART
educationr-3693	14	8	,	,	PUNCT
educationr-3693	14	9	bertrand	bertrand	PROPN
educationr-3693	14	10	russell	russell	PROPN
educationr-3693	14	11	’s	’s	PART
educationr-3693	14	12	(	(	PUNCT
educationr-3693	14	13	1960	1960	NUM
educationr-3693	14	14	)	)	PUNCT
educationr-3693	14	15	description	description	NOUN
educationr-3693	14	16	might	might	AUX
educationr-3693	14	17	invite	invite	VERB
educationr-3693	14	18	,	,	PUNCT
educationr-3693	14	19	or	or	CCONJ
educationr-3693	14	20	discourage	discourage	VERB
educationr-3693	14	21	,	,	PUNCT
educationr-3693	14	22	further	further	ADJ
educationr-3693	14	23	interest	interest	NOUN
educationr-3693	14	24	:	:	PUNCT
educationr-3693	15	1	mathematics	mathematic	NOUN
educationr-3693	15	2	,	,	PUNCT
educationr-3693	15	3	rightly	rightly	ADV
educationr-3693	15	4	viewed	view	VERB
educationr-3693	15	5	,	,	PUNCT
educationr-3693	15	6	possesses	possess	VERB
educationr-3693	15	7	not	not	PART
educationr-3693	15	8	only	only	ADV
educationr-3693	15	9	truth	truth	NOUN
educationr-3693	15	10	,	,	PUNCT
educationr-3693	15	11	but	but	CCONJ
educationr-3693	15	12	supreme	supreme	PROPN
educationr-3693	15	13	beauty	beauty	PROPN
educationr-3693	15	14	cold	cold	ADJ
educationr-3693	15	15	and	and	CCONJ
educationr-3693	15	16	austere	austere	ADJ
educationr-3693	15	17	,	,	PUNCT
educationr-3693	15	18	like	like	ADP
educationr-3693	15	19	that	that	PRON
educationr-3693	15	20	of	of	ADP
educationr-3693	15	21	sculpture	sculpture	NOUN
educationr-3693	15	22	,	,	PUNCT
educationr-3693	15	23	without	without	ADP
educationr-3693	15	24	appeal	appeal	NOUN
educationr-3693	15	25	to	to	ADP
educationr-3693	15	26	any	any	DET
educationr-3693	15	27	part	part	NOUN
educationr-3693	15	28	of	of	ADP
educationr-3693	15	29	our	our	PRON
educationr-3693	15	30	weaker	weak	ADJ
educationr-3693	15	31	nature	nature	NOUN
educationr-3693	15	32	,	,	PUNCT
educationr-3693	15	33	without	without	ADP
educationr-3693	15	34	the	the	DET
educationr-3693	15	35	gorgeous	gorgeous	ADJ
educationr-3693	15	36	trappings	trapping	NOUN
educationr-3693	15	37	of	of	ADP
educationr-3693	15	38	painting	painting	NOUN
educationr-3693	15	39	or	or	CCONJ
educationr-3693	15	40	music	music	NOUN
educationr-3693	15	41	,	,	PUNCT
educationr-3693	15	42	yet	yet	CCONJ
educationr-3693	15	43	sublimely	sublimely	ADV
educationr-3693	15	44	education	education	NOUN
educationr-3693	15	45	review	review	NOUN
educationr-3693	15	46	/reseñas	/reseñas	SYM
educationr-3693	15	47	educativas	educativas	PROPN
educationr-3693	15	48	/	/	SYM
educationr-3693	15	49	resenhas	resenhas	PROPN
educationr-3693	15	50	educativas	educativas	PROPN
educationr-3693	15	51	2	2	NUM
educationr-3693	15	52	pure	pure	ADJ
educationr-3693	15	53	,	,	PUNCT
educationr-3693	15	54	and	and	CCONJ
educationr-3693	15	55	capable	capable	ADJ
educationr-3693	15	56	of	of	ADP
educationr-3693	15	57	a	a	DET
educationr-3693	15	58	stern	stern	ADJ
educationr-3693	15	59	perfection	perfection	NOUN
educationr-3693	15	60	such	such	ADJ
educationr-3693	15	61	as	as	ADP
educationr-3693	15	62	only	only	ADV
educationr-3693	15	63	the	the	DET
educationr-3693	15	64	greatest	great	ADJ
educationr-3693	15	65	art	art	NOUN
educationr-3693	15	66	can	can	AUX
educationr-3693	15	67	show	show	VERB
educationr-3693	15	68	.	.	PUNCT
educationr-3693	16	1	(	(	PUNCT
educationr-3693	16	2	p.	p.	NOUN
educationr-3693	16	3	14	14	NUM
educationr-3693	16	4	)	)	PUNCT
educationr-3693	16	5	the	the	DET
educationr-3693	16	6	personality	personality	NOUN
educationr-3693	16	7	of	of	ADP
educationr-3693	16	8	math	math	NOUN
educationr-3693	16	9	by	by	ADP
educationr-3693	16	10	paul	paul	PROPN
educationr-3693	16	11	a.	a.	PROPN
educationr-3693	16	12	wagner	wagner	PROPN
educationr-3693	16	13	and	and	CCONJ
educationr-3693	16	14	frank	frank	PROPN
educationr-3693	16	15	fair	fair	PROPN
educationr-3693	16	16	attempts	attempt	VERB
educationr-3693	16	17	a	a	DET
educationr-3693	16	18	far	far	ADV
educationr-3693	16	19	different	different	ADJ
educationr-3693	16	20	view	view	NOUN
educationr-3693	16	21	of	of	ADP
educationr-3693	16	22	mathematics	mathematic	NOUN
educationr-3693	16	23	.	.	PUNCT
educationr-3693	17	1	they	they	PRON
educationr-3693	17	2	perceive	perceive	VERB
educationr-3693	17	3	mathematics	mathematic	NOUN
educationr-3693	17	4	as	as	ADP
educationr-3693	17	5	an	an	DET
educationr-3693	17	6	entity	entity	NOUN
educationr-3693	17	7	with	with	ADP
educationr-3693	17	8	a	a	DET
educationr-3693	17	9	positive	positive	ADJ
educationr-3693	17	10	,	,	PUNCT
educationr-3693	17	11	if	if	SCONJ
educationr-3693	17	12	somewhat	somewhat	ADV
educationr-3693	17	13	mysterious	mysterious	ADJ
educationr-3693	17	14	,	,	PUNCT
educationr-3693	17	15	“	"	PUNCT
educationr-3693	17	16	personality	personality	NOUN
educationr-3693	17	17	.	.	PUNCT
educationr-3693	17	18	”	"	PUNCT
educationr-3693	18	1	in	in	ADP
educationr-3693	18	2	describing	describe	VERB
educationr-3693	18	3	david	david	PROPN
educationr-3693	18	4	hilbert	hilbert	PROPN
educationr-3693	18	5	’s	’s	PART
educationr-3693	18	6	illustration	illustration	NOUN
educationr-3693	18	7	of	of	ADP
educationr-3693	18	8	a	a	DET
educationr-3693	18	9	countably	countably	ADV
educationr-3693	18	10	infinite	infinite	ADJ
educationr-3693	18	11	set	set	NOUN
educationr-3693	18	12	,	,	PUNCT
educationr-3693	18	13	they	they	PRON
educationr-3693	18	14	write	write	VERB
educationr-3693	18	15	:	:	PUNCT
educationr-3693	18	16	you	you	PRON
educationr-3693	18	17	may	may	AUX
educationr-3693	18	18	well	well	ADV
educationr-3693	18	19	ask	ask	VERB
educationr-3693	18	20	,	,	PUNCT
educationr-3693	18	21	who	who	PRON
educationr-3693	18	22	dreams	dream	VERB
educationr-3693	18	23	this	this	DET
educationr-3693	18	24	stuff	stuff	NOUN
educationr-3693	18	25	up	up	ADP
educationr-3693	18	26	?	?	PUNCT
educationr-3693	19	1	mathematicians	mathematician	NOUN
educationr-3693	19	2	do	do	VERB
educationr-3693	19	3	.	.	PUNCT
educationr-3693	20	1	they	they	PRON
educationr-3693	20	2	can	can	AUX
educationr-3693	20	3	be	be	AUX
educationr-3693	20	4	a	a	DET
educationr-3693	20	5	fun	fun	ADJ
educationr-3693	20	6	group	group	NOUN
educationr-3693	20	7	of	of	ADP
educationr-3693	20	8	people	people	NOUN
educationr-3693	20	9	imagining	imagine	VERB
educationr-3693	20	10	things	thing	NOUN
educationr-3693	20	11	no	no	DET
educationr-3693	20	12	one	one	NOUN
educationr-3693	20	13	has	have	AUX
educationr-3693	20	14	ever	ever	ADV
educationr-3693	20	15	seen	see	VERB
educationr-3693	20	16	portrayed	portray	VERB
educationr-3693	20	17	on	on	ADP
educationr-3693	20	18	television	television	NOUN
educationr-3693	20	19	or	or	CCONJ
educationr-3693	20	20	anywhere	anywhere	ADV
educationr-3693	20	21	else	else	ADV
educationr-3693	20	22	.	.	PUNCT
educationr-3693	21	1	mathematicians	mathematician	NOUN
educationr-3693	21	2	love	love	VERB
educationr-3693	21	3	math	math	NOUN
educationr-3693	21	4	and	and	CCONJ
educationr-3693	21	5	have	have	VERB
educationr-3693	21	6	fun	fun	NOUN
educationr-3693	21	7	teasing	tease	VERB
educationr-3693	21	8	her	she	PRON
educationr-3693	21	9	with	with	ADP
educationr-3693	21	10	new	new	ADJ
educationr-3693	21	11	tickles	tickle	NOUN
educationr-3693	21	12	,	,	PUNCT
educationr-3693	21	13	hoping	hope	VERB
educationr-3693	21	14	to	to	PART
educationr-3693	21	15	reveal	reveal	VERB
educationr-3693	21	16	more	more	ADJ
educationr-3693	21	17	of	of	ADP
educationr-3693	21	18	her	her	PRON
educationr-3693	21	19	mystery	mystery	NOUN
educationr-3693	21	20	.	.	PUNCT
educationr-3693	22	1	math	math	NOUN
educationr-3693	22	2	has	have	VERB
educationr-3693	22	3	nooks	nook	NOUN
educationr-3693	22	4	and	and	CCONJ
educationr-3693	22	5	crannies	cranny	NOUN
educationr-3693	22	6	inviting	invite	VERB
educationr-3693	22	7	those	those	PRON
educationr-3693	22	8	who	who	PRON
educationr-3693	22	9	become	become	VERB
educationr-3693	22	10	her	her	PRON
educationr-3693	22	11	lovers	lover	NOUN
educationr-3693	22	12	and	and	CCONJ
educationr-3693	22	13	heroes	hero	NOUN
educationr-3693	22	14	.	.	PUNCT
educationr-3693	23	1	(	(	PUNCT
educationr-3693	23	2	p.	p.	NOUN
educationr-3693	23	3	25	25	NUM
educationr-3693	23	4	)	)	PUNCT
educationr-3693	23	5	wagner	wagner	NOUN
educationr-3693	23	6	and	and	CCONJ
educationr-3693	23	7	fair	fair	ADJ
educationr-3693	23	8	have	have	AUX
educationr-3693	23	9	reviewed	review	VERB
educationr-3693	23	10	the	the	DET
educationr-3693	23	11	historic	historic	ADJ
educationr-3693	23	12	record	record	NOUN
educationr-3693	23	13	of	of	ADP
educationr-3693	23	14	the	the	DET
educationr-3693	23	15	past	past	ADJ
educationr-3693	23	16	two	two	NUM
educationr-3693	23	17	millennia	millennium	NOUN
educationr-3693	23	18	looking	look	VERB
educationr-3693	23	19	for	for	ADP
educationr-3693	23	20	these	these	DET
educationr-3693	23	21	lovers	lover	NOUN
educationr-3693	23	22	and	and	CCONJ
educationr-3693	23	23	heroes	hero	NOUN
educationr-3693	23	24	,	,	PUNCT
educationr-3693	23	25	using	use	VERB
educationr-3693	23	26	multiple	multiple	ADJ
educationr-3693	23	27	sources	source	NOUN
educationr-3693	23	28	to	to	PART
educationr-3693	23	29	construct	construct	VERB
educationr-3693	23	30	their	their	PRON
educationr-3693	23	31	image	image	NOUN
educationr-3693	23	32	of	of	ADP
educationr-3693	23	33	mathematics	mathematic	NOUN
educationr-3693	23	34	.	.	PUNCT
educationr-3693	24	1	to	to	PART
educationr-3693	24	2	create	create	VERB
educationr-3693	24	3	the	the	DET
educationr-3693	24	4	“	"	PUNCT
educationr-3693	24	5	personality	personality	NOUN
educationr-3693	24	6	features	feature	NOUN
educationr-3693	24	7	of	of	ADP
educationr-3693	24	8	math	math	NOUN
educationr-3693	24	9	itself	itself	PRON
educationr-3693	24	10	,	,	PUNCT
educationr-3693	24	11	”	"	PUNCT
educationr-3693	24	12	wagner	wagner	PROPN
educationr-3693	24	13	and	and	CCONJ
educationr-3693	24	14	fair	fair	ADV
educationr-3693	24	15	assembled	assemble	VERB
educationr-3693	24	16	a	a	DET
educationr-3693	24	17	composite	composite	ADJ
educationr-3693	24	18	personality	personality	NOUN
educationr-3693	24	19	from	from	ADP
educationr-3693	24	20	the	the	DET
educationr-3693	24	21	numerous	numerous	ADJ
educationr-3693	24	22	biographies	biography	NOUN
educationr-3693	24	23	and	and	CCONJ
educationr-3693	24	24	anecdotes	anecdote	NOUN
educationr-3693	24	25	that	that	PRON
educationr-3693	24	26	form	form	VERB
educationr-3693	24	27	major	major	ADJ
educationr-3693	24	28	sections	section	NOUN
educationr-3693	24	29	of	of	ADP
educationr-3693	24	30	their	their	PRON
educationr-3693	24	31	book	book	NOUN
educationr-3693	24	32	.	.	PUNCT
educationr-3693	25	1	the	the	DET
educationr-3693	25	2	result	result	NOUN
educationr-3693	25	3	seems	seem	VERB
educationr-3693	25	4	something	something	PRON
educationr-3693	25	5	like	like	ADP
educationr-3693	25	6	a	a	DET
educationr-3693	25	7	photomosaic	photomosaic	ADJ
educationr-3693	25	8	—	—	PUNCT
educationr-3693	25	9	an	an	DET
educationr-3693	25	10	image	image	NOUN
educationr-3693	25	11	created	create	VERB
educationr-3693	25	12	from	from	ADP
educationr-3693	25	13	multiple	multiple	ADJ
educationr-3693	25	14	reduced	reduce	VERB
educationr-3693	25	15	images	image	NOUN
educationr-3693	25	16	.	.	PUNCT
educationr-3693	26	1	there	there	PRON
educationr-3693	26	2	is	be	VERB
educationr-3693	26	3	no	no	DET
educationr-3693	26	4	physical	physical	ADJ
educationr-3693	26	5	image	image	NOUN
educationr-3693	26	6	here	here	ADV
educationr-3693	26	7	,	,	PUNCT
educationr-3693	26	8	of	of	ADP
educationr-3693	26	9	course	course	NOUN
educationr-3693	26	10	;	;	PUNCT
educationr-3693	26	11	no	no	DET
educationr-3693	26	12	russell	russell	PROPN
educationr-3693	26	13	’s	’s	PART
educationr-3693	26	14	statue	statue	NOUN
educationr-3693	26	15	,	,	PUNCT
educationr-3693	26	16	cold	cold	ADJ
educationr-3693	26	17	and	and	CCONJ
educationr-3693	26	18	austere	austere	ADJ
educationr-3693	26	19	.	.	PUNCT
educationr-3693	27	1	wagner	wagner	NOUN
educationr-3693	27	2	and	and	CCONJ
educationr-3693	27	3	fair	fair	ADJ
educationr-3693	27	4	give	give	VERB
educationr-3693	27	5	us	we	PRON
educationr-3693	27	6	a	a	DET
educationr-3693	27	7	conceptual	conceptual	ADJ
educationr-3693	27	8	entity	entity	NOUN
educationr-3693	27	9	that	that	PRON
educationr-3693	27	10	uses	use	VERB
educationr-3693	27	11	the	the	DET
educationr-3693	27	12	pronouns	pronoun	NOUN
educationr-3693	27	13	“	"	PUNCT
educationr-3693	27	14	she/	she/	VERB
educationr-3693	27	15	her	she	PRON
educationr-3693	27	16	/	/	SYM
educationr-3693	27	17	hers	her	NOUN
educationr-3693	27	18	.	.	PUNCT
educationr-3693	27	19	”	"	PUNCT
educationr-3693	28	1	in	in	ADP
educationr-3693	28	2	place	place	NOUN
educationr-3693	28	3	of	of	ADP
educationr-3693	28	4	multiple	multiple	ADJ
educationr-3693	28	5	graphic	graphic	ADJ
educationr-3693	28	6	images	image	NOUN
educationr-3693	28	7	forming	form	VERB
educationr-3693	28	8	a	a	DET
educationr-3693	28	9	composite	composite	ADJ
educationr-3693	28	10	image	image	NOUN
educationr-3693	28	11	,	,	PUNCT
educationr-3693	28	12	these	these	DET
educationr-3693	28	13	authors	author	NOUN
educationr-3693	28	14	assemble	assemble	VERB
educationr-3693	28	15	an	an	DET
educationr-3693	28	16	abstract	abstract	ADJ
educationr-3693	28	17	personality	personality	NOUN
educationr-3693	28	18	construct	construct	NOUN
educationr-3693	28	19	.	.	PUNCT
educationr-3693	29	1	like	like	ADP
educationr-3693	29	2	a	a	DET
educationr-3693	29	3	human	human	ADJ
educationr-3693	29	4	being	being	NOUN
educationr-3693	29	5	with	with	ADP
educationr-3693	29	6	a	a	DET
educationr-3693	29	7	distinctive	distinctive	ADJ
educationr-3693	29	8	personality	personality	NOUN
educationr-3693	29	9	,	,	PUNCT
educationr-3693	29	10	the	the	DET
educationr-3693	29	11	characteristics	characteristic	NOUN
educationr-3693	29	12	of	of	ADP
educationr-3693	29	13	the	the	DET
educationr-3693	29	14	personality	personality	NOUN
educationr-3693	29	15	of	of	ADP
educationr-3693	29	16	math	math	NOUN
educationr-3693	29	17	place	place	VERB
educationr-3693	29	18	certain	certain	ADJ
educationr-3693	29	19	requirements	requirement	NOUN
educationr-3693	29	20	on	on	ADP
educationr-3693	29	21	those	those	PRON
educationr-3693	29	22	who	who	PRON
educationr-3693	29	23	would	would	AUX
educationr-3693	29	24	truly	truly	ADV
educationr-3693	29	25	get	get	VERB
educationr-3693	29	26	to	to	PART
educationr-3693	29	27	know	know	VERB
educationr-3693	29	28	it	it	PRON
educationr-3693	29	29	.	.	PUNCT
educationr-3693	30	1	five	five	NUM
educationr-3693	30	2	of	of	ADP
educationr-3693	30	3	the	the	DET
educationr-3693	30	4	most	most	ADV
educationr-3693	30	5	important	important	ADJ
educationr-3693	30	6	of	of	ADP
educationr-3693	30	7	these	these	PRON
educationr-3693	30	8	are	be	AUX
educationr-3693	30	9	that	that	SCONJ
educationr-3693	30	10	the	the	DET
educationr-3693	30	11	potential	potential	ADJ
educationr-3693	30	12	friend	friend	NOUN
educationr-3693	30	13	:	:	PUNCT
educationr-3693	30	14	•	•	NUM
educationr-3693	30	15	must	must	AUX
educationr-3693	30	16	be	be	AUX
educationr-3693	30	17	completely	completely	ADV
educationr-3693	30	18	honest	honest	ADJ
educationr-3693	30	19	in	in	ADP
educationr-3693	30	20	whatever	whatever	DET
educationr-3693	30	21	claims	claim	NOUN
educationr-3693	30	22	are	be	AUX
educationr-3693	30	23	made	make	VERB
educationr-3693	30	24	,	,	PUNCT
educationr-3693	30	25	•	•	NUM
educationr-3693	30	26	must	must	AUX
educationr-3693	30	27	have	have	VERB
educationr-3693	30	28	respect	respect	NOUN
educationr-3693	30	29	for	for	ADP
educationr-3693	30	30	the	the	DET
educationr-3693	30	31	existence	existence	NOUN
educationr-3693	30	32	of	of	ADP
educationr-3693	30	33	truth	truth	NOUN
educationr-3693	30	34	beyond	beyond	ADP
educationr-3693	30	35	approximation	approximation	NOUN
educationr-3693	30	36	,	,	PUNCT
educationr-3693	30	37	truth	truth	NOUN
educationr-3693	30	38	that	that	PRON
educationr-3693	30	39	is	be	AUX
educationr-3693	30	40	exact	exact	ADJ
educationr-3693	30	41	,	,	PUNCT
educationr-3693	30	42	•	•	NUM
educationr-3693	30	43	must	must	AUX
educationr-3693	30	44	be	be	AUX
educationr-3693	30	45	committed	commit	VERB
educationr-3693	30	46	to	to	ADP
educationr-3693	30	47	displaying	display	VERB
educationr-3693	30	48	the	the	DET
educationr-3693	30	49	certainty	certainty	NOUN
educationr-3693	30	50	that	that	SCONJ
educationr-3693	30	51	math	math	NOUN
educationr-3693	30	52	can	can	AUX
educationr-3693	30	53	achieve	achieve	VERB
educationr-3693	30	54	,	,	PUNCT
educationr-3693	30	55	not	not	PART
educationr-3693	30	56	settling	settle	VERB
educationr-3693	30	57	for	for	ADP
educationr-3693	30	58	anything	anything	PRON
educationr-3693	30	59	less	less	ADJ
educationr-3693	30	60	,	,	PUNCT
educationr-3693	30	61	•	•	NUM
educationr-3693	30	62	must	must	AUX
educationr-3693	30	63	work	work	VERB
educationr-3693	30	64	to	to	PART
educationr-3693	30	65	display	display	VERB
educationr-3693	30	66	truth	truth	NOUN
educationr-3693	30	67	by	by	ADP
educationr-3693	30	68	producing	produce	VERB
educationr-3693	30	69	proofs	proof	NOUN
educationr-3693	30	70	that	that	PRON
educationr-3693	30	71	survive	survive	VERB
educationr-3693	30	72	scrutiny	scrutiny	NOUN
educationr-3693	30	73	and	and	CCONJ
educationr-3693	30	74	statements	statement	NOUN
educationr-3693	30	75	that	that	PRON
educationr-3693	30	76	are	be	AUX
educationr-3693	30	77	free	free	ADJ
educationr-3693	30	78	of	of	ADP
educationr-3693	30	79	contradictions	contradiction	NOUN
educationr-3693	30	80	,	,	PUNCT
educationr-3693	30	81	and	and	CCONJ
educationr-3693	30	82	•	•	NUM
educationr-3693	30	83	must	must	AUX
educationr-3693	30	84	recognize	recognize	VERB
educationr-3693	30	85	that	that	SCONJ
educationr-3693	30	86	,	,	PUNCT
educationr-3693	30	87	while	while	SCONJ
educationr-3693	30	88	math	math	NOUN
educationr-3693	30	89	is	be	AUX
educationr-3693	30	90	rooted	root	VERB
educationr-3693	30	91	in	in	ADP
educationr-3693	30	92	the	the	DET
educationr-3693	30	93	common	common	ADJ
educationr-3693	30	94	world	world	NOUN
educationr-3693	30	95	of	of	ADP
educationr-3693	30	96	counting	counting	NOUN
educationr-3693	30	97	,	,	PUNCT
educationr-3693	30	98	often	often	ADV
educationr-3693	30	99	for	for	ADP
educationr-3693	30	100	purposes	purpose	NOUN
educationr-3693	30	101	of	of	ADP
educationr-3693	30	102	trade	trade	NOUN
educationr-3693	30	103	,	,	PUNCT
educationr-3693	30	104	and	and	CCONJ
educationr-3693	30	105	holds	hold	VERB
educationr-3693	30	106	inestimable	inestimable	ADJ
educationr-3693	30	107	value	value	NOUN
educationr-3693	30	108	enabling	enable	VERB
educationr-3693	30	109	humans	human	NOUN
educationr-3693	30	110	to	to	ADP
educationr-3693	30	111	decipher	decipher	ADJ
educationr-3693	30	112	patterns	pattern	NOUN
educationr-3693	30	113	in	in	ADP
educationr-3693	30	114	visible	visible	ADJ
educationr-3693	30	115	nature	nature	NOUN
educationr-3693	30	116	,	,	PUNCT
educationr-3693	30	117	math	math	NOUN
educationr-3693	30	118	’s	’s	PART
educationr-3693	30	119	objects	object	NOUN
educationr-3693	30	120	—	—	PUNCT
educationr-3693	30	121	squares	square	NOUN
educationr-3693	30	122	,	,	PUNCT
educationr-3693	30	123	prime	prime	ADJ
educationr-3693	30	124	numbers	number	NOUN
educationr-3693	30	125	,	,	PUNCT
educationr-3693	30	126	and	and	CCONJ
educationr-3693	30	127	all	all	DET
educationr-3693	30	128	the	the	DET
educationr-3693	30	129	rest	rest	NOUN
educationr-3693	30	130	—	—	PUNCT
educationr-3693	30	131	are	be	AUX
educationr-3693	30	132	not	not	PART
educationr-3693	30	133	built	build	VERB
educationr-3693	30	134	out	out	ADP
educationr-3693	30	135	of	of	ADP
educationr-3693	30	136	the	the	DET
educationr-3693	30	137	material	material	NOUN
educationr-3693	30	138	of	of	ADP
educationr-3693	30	139	human	human	ADJ
educationr-3693	30	140	sensory	sensory	ADJ
educationr-3693	30	141	observation	observation	NOUN
educationr-3693	30	142	alone	alone	ADV
educationr-3693	30	143	(	(	PUNCT
educationr-3693	30	144	p.	p.	NOUN
educationr-3693	30	145	49	49	NUM
educationr-3693	30	146	)	)	PUNCT
educationr-3693	30	147	wagner	wagner	NOUN
educationr-3693	30	148	and	and	CCONJ
educationr-3693	30	149	fair	fair	ADJ
educationr-3693	30	150	add	add	VERB
educationr-3693	30	151	to	to	ADP
educationr-3693	30	152	their	their	PRON
educationr-3693	30	153	description	description	NOUN
educationr-3693	30	154	of	of	ADP
educationr-3693	30	155	the	the	DET
educationr-3693	30	156	personality	personality	NOUN
educationr-3693	30	157	with	with	ADP
educationr-3693	30	158	repeated	repeat	VERB
educationr-3693	30	159	references	reference	NOUN
educationr-3693	30	160	to	to	ADP
educationr-3693	30	161	mathematics	mathematic	NOUN
educationr-3693	30	162	as	as	ADP
educationr-3693	30	163	a	a	DET
educationr-3693	30	164	“	"	PUNCT
educationr-3693	30	165	wilderness	wilderness	NOUN
educationr-3693	30	166	.	.	PUNCT
educationr-3693	30	167	”	"	PUNCT
educationr-3693	31	1	they	they	PRON
educationr-3693	31	2	refer	refer	VERB
educationr-3693	31	3	to	to	ADP
educationr-3693	31	4	the	the	DET
educationr-3693	31	5	historical	historical	ADJ
educationr-3693	31	6	and	and	CCONJ
educationr-3693	31	7	review	review	NOUN
educationr-3693	31	8	of	of	ADP
educationr-3693	31	9	the	the	DET
educationr-3693	31	10	personality	personality	NOUN
educationr-3693	31	11	of	of	ADP
educationr-3693	31	12	math	math	NOUN
educationr-3693	31	13	3	3	NUM
educationr-3693	31	14	contemporary	contemporary	ADJ
educationr-3693	31	15	figures	figure	NOUN
educationr-3693	31	16	they	they	PRON
educationr-3693	31	17	’ve	’ve	AUX
educationr-3693	31	18	selected	select	VERB
educationr-3693	31	19	for	for	ADP
educationr-3693	31	20	the	the	DET
educationr-3693	31	21	composite	composite	ADJ
educationr-3693	31	22	personality	personality	NOUN
educationr-3693	31	23	as	as	ADP
educationr-3693	31	24	“	"	PUNCT
educationr-3693	31	25	mathematical	mathematical	ADJ
educationr-3693	31	26	heroes	hero	NOUN
educationr-3693	31	27	[	[	X
educationr-3693	31	28	who	who	PRON
educationr-3693	31	29	]	]	PUNCT
educationr-3693	31	30	are	be	AUX
educationr-3693	31	31	adventurers	adventurer	NOUN
educationr-3693	31	32	into	into	ADP
educationr-3693	31	33	the	the	DET
educationr-3693	31	34	mathematical	mathematical	ADJ
educationr-3693	31	35	wildernesses	wilderness	NOUN
educationr-3693	31	36	.	.	PUNCT
educationr-3693	31	37	”	"	PUNCT
educationr-3693	32	1	this	this	DET
educationr-3693	32	2	metaphor	metaphor	NOUN
educationr-3693	32	3	becomes	become	VERB
educationr-3693	32	4	the	the	DET
educationr-3693	32	5	basis	basis	NOUN
educationr-3693	32	6	for	for	ADP
educationr-3693	32	7	the	the	DET
educationr-3693	32	8	subtitle	subtitle	NOUN
educationr-3693	32	9	of	of	ADP
educationr-3693	32	10	their	their	PRON
educationr-3693	32	11	book	book	NOUN
educationr-3693	32	12	:	:	PUNCT
educationr-3693	32	13	a	a	DET
educationr-3693	32	14	key	key	NOUN
educationr-3693	32	15	to	to	ADP
educationr-3693	32	16	learning	learn	VERB
educationr-3693	32	17	and	and	CCONJ
educationr-3693	32	18	teaching	teach	VERB
educationr-3693	32	19	math	math	NOUN
educationr-3693	32	20	.	.	PUNCT
educationr-3693	33	1	they	they	PRON
educationr-3693	33	2	specify	specify	VERB
educationr-3693	33	3	that	that	SCONJ
educationr-3693	33	4	“	"	PUNCT
educationr-3693	33	5	a	a	DET
educationr-3693	33	6	curricular	curricular	ADJ
educationr-3693	33	7	and	and	CCONJ
educationr-3693	33	8	instruction	instruction	NOUN
educationr-3693	33	9	path	path	NOUN
educationr-3693	33	10	must	must	AUX
educationr-3693	33	11	be	be	AUX
educationr-3693	33	12	created	create	VERB
educationr-3693	33	13	that	that	PRON
educationr-3693	33	14	invites	invite	VERB
educationr-3693	33	15	students	student	NOUN
educationr-3693	33	16	who	who	PRON
educationr-3693	33	17	are	be	AUX
educationr-3693	33	18	potential	potential	ADJ
educationr-3693	33	19	heroes	hero	NOUN
educationr-3693	33	20	to	to	PART
educationr-3693	33	21	experience	experience	VERB
educationr-3693	33	22	deeper	deep	ADJ
educationr-3693	33	23	visions	vision	NOUN
educationr-3693	33	24	into	into	ADP
educationr-3693	33	25	mathematical	mathematical	ADJ
educationr-3693	33	26	passion	passion	NOUN
educationr-3693	33	27	”	"	PUNCT
educationr-3693	33	28	(	(	PUNCT
educationr-3693	33	29	p.	p.	NOUN
educationr-3693	33	30	9	9	NUM
educationr-3693	33	31	)	)	PUNCT
educationr-3693	33	32	.	.	PUNCT
educationr-3693	34	1	they	they	PRON
educationr-3693	34	2	intend	intend	VERB
educationr-3693	34	3	for	for	ADP
educationr-3693	34	4	that	that	DET
educationr-3693	34	5	path	path	NOUN
educationr-3693	34	6	and	and	CCONJ
educationr-3693	34	7	instructional	instructional	ADJ
educationr-3693	34	8	approach	approach	NOUN
educationr-3693	34	9	to	to	PART
educationr-3693	34	10	result	result	VERB
educationr-3693	34	11	in	in	ADP
educationr-3693	34	12	an	an	DET
educationr-3693	34	13	alignment	alignment	NOUN
educationr-3693	34	14	of	of	ADP
educationr-3693	34	15	a	a	DET
educationr-3693	34	16	student	student	NOUN
educationr-3693	34	17	’s	’s	PART
educationr-3693	34	18	personality	personality	NOUN
educationr-3693	34	19	traits	trait	NOUN
educationr-3693	34	20	with	with	ADP
educationr-3693	34	21	“	"	PUNCT
educationr-3693	34	22	the	the	DET
educationr-3693	34	23	personality	personality	NOUN
educationr-3693	34	24	of	of	ADP
educationr-3693	34	25	math	math	NOUN
educationr-3693	34	26	itself	itself	PRON
educationr-3693	34	27	”	"	PUNCT
educationr-3693	34	28	(	(	PUNCT
educationr-3693	34	29	p.	p.	NOUN
educationr-3693	34	30	2	2	NUM
educationr-3693	34	31	)	)	PUNCT
educationr-3693	34	32	.	.	PUNCT
educationr-3693	35	1	this	this	DET
educationr-3693	35	2	alignment	alignment	NOUN
educationr-3693	35	3	is	be	AUX
educationr-3693	35	4	to	to	PART
educationr-3693	35	5	be	be	AUX
educationr-3693	35	6	accomplished	accomplish	VERB
educationr-3693	35	7	,	,	PUNCT
educationr-3693	35	8	in	in	ADP
educationr-3693	35	9	part	part	NOUN
educationr-3693	35	10	,	,	PUNCT
educationr-3693	35	11	by	by	ADP
educationr-3693	35	12	use	use	NOUN
educationr-3693	35	13	of	of	ADP
educationr-3693	35	14	a	a	DET
educationr-3693	35	15	“	"	PUNCT
educationr-3693	35	16	threshold	threshold	NOUN
educationr-3693	35	17	”	"	PUNCT
educationr-3693	35	18	concept	concept	NOUN
educationr-3693	35	19	developed	develop	VERB
educationr-3693	35	20	in	in	ADP
educationr-3693	35	21	previous	previous	ADJ
educationr-3693	35	22	work	work	NOUN
educationr-3693	35	23	by	by	ADP
educationr-3693	35	24	one	one	NUM
educationr-3693	35	25	of	of	ADP
educationr-3693	35	26	the	the	DET
educationr-3693	35	27	authors	author	NOUN
educationr-3693	35	28	(	(	PUNCT
educationr-3693	35	29	wagner	wagner	NOUN
educationr-3693	35	30	,	,	PUNCT
educationr-3693	35	31	2021	2021	NUM
educationr-3693	35	32	)	)	PUNCT
educationr-3693	35	33	.	.	PUNCT
educationr-3693	36	1	chapter	chapter	NOUN
educationr-3693	36	2	one	one	NUM
educationr-3693	36	3	of	of	ADP
educationr-3693	36	4	the	the	DET
educationr-3693	36	5	personality	personality	NOUN
educationr-3693	36	6	of	of	ADP
educationr-3693	36	7	math	math	NOUN
educationr-3693	36	8	includes	include	VERB
educationr-3693	36	9	a	a	DET
educationr-3693	36	10	summary	summary	NOUN
educationr-3693	36	11	of	of	ADP
educationr-3693	36	12	that	that	DET
educationr-3693	36	13	pedagogical	pedagogical	ADJ
educationr-3693	36	14	approach	approach	NOUN
educationr-3693	36	15	.	.	PUNCT
educationr-3693	37	1	the	the	DET
educationr-3693	37	2	wagner	wagner	PROPN
educationr-3693	37	3	and	and	CCONJ
educationr-3693	37	4	fair	fair	ADJ
educationr-3693	37	5	instructional	instructional	ADJ
educationr-3693	37	6	model	model	NOUN
educationr-3693	37	7	begins	begin	VERB
educationr-3693	37	8	with	with	ADP
educationr-3693	37	9	a	a	DET
educationr-3693	37	10	period	period	NOUN
educationr-3693	37	11	of	of	ADP
educationr-3693	37	12	basic	basic	ADJ
educationr-3693	37	13	instruction	instruction	NOUN
educationr-3693	37	14	in	in	ADP
educationr-3693	37	15	math	math	NOUN
educationr-3693	37	16	facts	fact	NOUN
educationr-3693	37	17	,	,	PUNCT
educationr-3693	37	18	perhaps	perhaps	ADV
educationr-3693	37	19	also	also	ADV
educationr-3693	37	20	with	with	ADP
educationr-3693	37	21	some	some	DET
educationr-3693	37	22	hands	hand	NOUN
educationr-3693	37	23	-	-	PUNCT
educationr-3693	37	24	on	on	ADP
educationr-3693	37	25	manipulative	manipulative	ADJ
educationr-3693	37	26	work	work	NOUN
educationr-3693	37	27	.	.	PUNCT
educationr-3693	38	1	they	they	PRON
educationr-3693	38	2	call	call	VERB
educationr-3693	38	3	this	this	DET
educationr-3693	38	4	“	"	PUNCT
educationr-3693	38	5	indoctrination	indoctrination	NOUN
educationr-3693	38	6	,	,	PUNCT
educationr-3693	38	7	”	"	PUNCT
educationr-3693	38	8	justifying	justify	VERB
educationr-3693	38	9	the	the	DET
educationr-3693	38	10	term	term	NOUN
educationr-3693	38	11	with	with	ADP
educationr-3693	38	12	a	a	DET
educationr-3693	38	13	short	short	ADJ
educationr-3693	38	14	etymological	etymological	ADJ
educationr-3693	38	15	disclaimer	disclaimer	NOUN
educationr-3693	38	16	.	.	PUNCT
educationr-3693	39	1	they	they	PRON
educationr-3693	39	2	also	also	ADV
educationr-3693	39	3	refer	refer	VERB
educationr-3693	39	4	to	to	ADP
educationr-3693	39	5	standard	standard	ADJ
educationr-3693	39	6	classroom	classroom	NOUN
educationr-3693	39	7	practice	practice	NOUN
educationr-3693	39	8	as	as	ADP
educationr-3693	39	9	“	"	PUNCT
educationr-3693	39	10	ritualized	ritualized	ADJ
educationr-3693	39	11	signaling	signal	VERB
educationr-3693	39	12	,	,	PUNCT
educationr-3693	39	13	”	"	PUNCT
educationr-3693	39	14	borrowing	borrow	VERB
educationr-3693	39	15	the	the	DET
educationr-3693	39	16	phrase	phrase	NOUN
educationr-3693	39	17	from	from	ADP
educationr-3693	39	18	sources	source	NOUN
educationr-3693	39	19	in	in	ADP
educationr-3693	39	20	evolutionary	evolutionary	ADJ
educationr-3693	39	21	biology	biology	NOUN
educationr-3693	39	22	.	.	PUNCT
educationr-3693	40	1	this	this	DET
educationr-3693	40	2	indoctrination	indoctrination	NOUN
educationr-3693	40	3	phase	phase	NOUN
educationr-3693	40	4	should	should	AUX
educationr-3693	40	5	be	be	AUX
educationr-3693	40	6	periodically	periodically	ADV
educationr-3693	40	7	interrupted	interrupt	VERB
educationr-3693	40	8	by	by	ADP
educationr-3693	40	9	“	"	PUNCT
educationr-3693	40	10	benchmarking	benchmarke	VERB
educationr-3693	40	11	as	as	ADP
educationr-3693	40	12	to	to	ADP
educationr-3693	40	13	whether	whether	SCONJ
educationr-3693	40	14	students	student	NOUN
educationr-3693	40	15	are	be	AUX
educationr-3693	40	16	developing	develop	VERB
educationr-3693	40	17	a	a	DET
educationr-3693	40	18	feeling	feeling	NOUN
educationr-3693	40	19	for	for	ADP
educationr-3693	40	20	and	and	CCONJ
educationr-3693	40	21	an	an	DET
educationr-3693	40	22	understanding	understanding	NOUN
educationr-3693	40	23	of	of	ADP
educationr-3693	40	24	the	the	DET
educationr-3693	40	25	beliefs	belief	NOUN
educationr-3693	40	26	and	and	CCONJ
educationr-3693	40	27	dispositions	disposition	NOUN
educationr-3693	40	28	they	they	PRON
educationr-3693	40	29	are	be	AUX
educationr-3693	40	30	acquiring	acquire	VERB
educationr-3693	40	31	”	"	PUNCT
educationr-3693	40	32	(	(	PUNCT
educationr-3693	40	33	p.	p.	NOUN
educationr-3693	40	34	4	4	NUM
educationr-3693	40	35	)	)	PUNCT
educationr-3693	40	36	.	.	PUNCT
educationr-3693	41	1	given	give	VERB
educationr-3693	41	2	sufficient	sufficient	ADJ
educationr-3693	41	3	indoctrination	indoctrination	NOUN
educationr-3693	41	4	on	on	ADP
educationr-3693	41	5	a	a	DET
educationr-3693	41	6	given	give	VERB
educationr-3693	41	7	area	area	NOUN
educationr-3693	41	8	of	of	ADP
educationr-3693	41	9	knowledge	knowledge	NOUN
educationr-3693	41	10	,	,	PUNCT
educationr-3693	41	11	the	the	DET
educationr-3693	41	12	student	student	NOUN
educationr-3693	41	13	can	can	AUX
educationr-3693	41	14	be	be	AUX
educationr-3693	41	15	seen	see	VERB
educationr-3693	41	16	as	as	ADP
educationr-3693	41	17	reaching	reach	VERB
educationr-3693	41	18	a	a	DET
educationr-3693	41	19	threshold	threshold	NOUN
educationr-3693	41	20	,	,	PUNCT
educationr-3693	41	21	beyond	beyond	ADP
educationr-3693	41	22	which	which	PRON
educationr-3693	41	23	further	further	ADJ
educationr-3693	41	24	indoctrination	indoctrination	NOUN
educationr-3693	41	25	on	on	ADP
educationr-3693	41	26	that	that	DET
educationr-3693	41	27	specific	specific	ADJ
educationr-3693	41	28	bit	bit	NOUN
educationr-3693	41	29	of	of	ADP
educationr-3693	41	30	knowledge	knowledge	NOUN
educationr-3693	41	31	is	be	AUX
educationr-3693	41	32	contraindicated	contraindicate	VERB
educationr-3693	41	33	.	.	PUNCT
educationr-3693	42	1	once	once	SCONJ
educationr-3693	42	2	the	the	DET
educationr-3693	42	3	threshold	threshold	NOUN
educationr-3693	42	4	is	be	AUX
educationr-3693	42	5	“	"	PUNCT
educationr-3693	42	6	breached	breach	VERB
educationr-3693	42	7	,	,	PUNCT
educationr-3693	42	8	”	"	PUNCT
educationr-3693	42	9	as	as	SCONJ
educationr-3693	42	10	they	they	PRON
educationr-3693	42	11	call	call	VERB
educationr-3693	42	12	it	it	PRON
educationr-3693	42	13	,	,	PUNCT
educationr-3693	42	14	“	"	PUNCT
educationr-3693	42	15	the	the	DET
educationr-3693	42	16	student	student	NOUN
educationr-3693	42	17	can	can	AUX
educationr-3693	42	18	use	use	VERB
educationr-3693	42	19	the	the	DET
educationr-3693	42	20	indoctrination	indoctrination	NOUN
educationr-3693	42	21	to	to	PART
educationr-3693	42	22	express	express	VERB
educationr-3693	42	23	doubts	doubt	NOUN
educationr-3693	42	24	,	,	PUNCT
educationr-3693	42	25	ask	ask	VERB
educationr-3693	42	26	questions	question	NOUN
educationr-3693	42	27	,	,	PUNCT
educationr-3693	42	28	seek	seek	VERB
educationr-3693	42	29	further	further	ADJ
educationr-3693	42	30	insights	insight	NOUN
educationr-3693	42	31	;	;	PUNCT
educationr-3693	42	32	in	in	ADP
educationr-3693	42	33	short	short	ADJ
educationr-3693	42	34	,	,	PUNCT
educationr-3693	42	35	hopefully	hopefully	ADV
educationr-3693	42	36	to	to	PART
educationr-3693	42	37	engage	engage	VERB
educationr-3693	42	38	in	in	ADP
educationr-3693	42	39	real	real	ADJ
educationr-3693	42	40	mathematical	mathematical	ADJ
educationr-3693	42	41	thinking	thinking	NOUN
educationr-3693	42	42	”	"	PUNCT
educationr-3693	42	43	(	(	PUNCT
educationr-3693	42	44	p.	p.	NOUN
educationr-3693	42	45	16	16	NUM
educationr-3693	42	46	)	)	PUNCT
educationr-3693	42	47	.	.	PUNCT
educationr-3693	43	1	their	their	PRON
educationr-3693	43	2	suggested	suggest	VERB
educationr-3693	43	3	pedagogy	pedagogy	NOUN
educationr-3693	43	4	can	can	AUX
educationr-3693	43	5	be	be	AUX
educationr-3693	43	6	seen	see	VERB
educationr-3693	43	7	as	as	ADP
educationr-3693	43	8	a	a	DET
educationr-3693	43	9	recursive	recursive	ADJ
educationr-3693	43	10	,	,	PUNCT
educationr-3693	43	11	dialectical	dialectical	ADJ
educationr-3693	43	12	process	process	NOUN
educationr-3693	43	13	.	.	PUNCT
educationr-3693	44	1	the	the	DET
educationr-3693	44	2	expression	expression	NOUN
educationr-3693	44	3	of	of	ADP
educationr-3693	44	4	“	"	PUNCT
educationr-3693	44	5	well	well	ADV
educationr-3693	44	6	-	-	PUNCT
educationr-3693	44	7	reasoned	reason	VERB
educationr-3693	44	8	doubt	doubt	NOUN
educationr-3693	44	9	”	"	PUNCT
educationr-3693	44	10	is	be	AUX
educationr-3693	44	11	essential	essential	ADJ
educationr-3693	44	12	:	:	PUNCT
educationr-3693	44	13	more	more	ADJ
educationr-3693	44	14	than	than	ADP
educationr-3693	44	15	any	any	DET
educationr-3693	44	16	other	other	ADJ
educationr-3693	44	17	sort	sort	NOUN
educationr-3693	44	18	of	of	ADP
educationr-3693	44	19	evidence	evidence	NOUN
educationr-3693	44	20	,	,	PUNCT
educationr-3693	44	21	it	it	PRON
educationr-3693	44	22	is	be	AUX
educationr-3693	44	23	the	the	DET
educationr-3693	44	24	expression	expression	NOUN
educationr-3693	44	25	of	of	ADP
educationr-3693	44	26	reasoned	reason	VERB
educationr-3693	44	27	doubt	doubt	NOUN
educationr-3693	44	28	that	that	SCONJ
educationr-3693	44	29	benchmarks	benchmark	VERB
educationr-3693	44	30	successful	successful	ADJ
educationr-3693	44	31	passage	passage	NOUN
educationr-3693	44	32	through	through	ADP
educationr-3693	44	33	a	a	DET
educationr-3693	44	34	threshold	threshold	NOUN
educationr-3693	44	35	.	.	PUNCT
educationr-3693	45	1	when	when	SCONJ
educationr-3693	45	2	the	the	DET
educationr-3693	45	3	threshold	threshold	NOUN
educationr-3693	45	4	has	have	AUX
educationr-3693	45	5	been	be	AUX
educationr-3693	45	6	successfully	successfully	ADV
educationr-3693	45	7	breached	breach	VERB
educationr-3693	45	8	,	,	PUNCT
educationr-3693	45	9	further	further	ADJ
educationr-3693	45	10	indoctrination	indoctrination	NOUN
educationr-3693	45	11	is	be	AUX
educationr-3693	45	12	no	no	ADV
educationr-3693	45	13	longer	long	ADV
educationr-3693	45	14	warranted	warrant	VERB
educationr-3693	45	15	.	.	PUNCT
educationr-3693	46	1	learners	learner	NOUN
educationr-3693	46	2	are	be	AUX
educationr-3693	46	3	finally	finally	ADV
educationr-3693	46	4	engaged	engage	VERB
educationr-3693	46	5	in	in	ADP
educationr-3693	46	6	the	the	DET
educationr-3693	46	7	great	great	ADJ
educationr-3693	46	8	conversation	conversation	NOUN
educationr-3693	46	9	of	of	ADP
educationr-3693	46	10	humankind	humankind	NOUN
educationr-3693	46	11	just	just	ADV
educationr-3693	46	12	as	as	SCONJ
educationr-3693	46	13	they	they	PRON
educationr-3693	46	14	should	should	AUX
educationr-3693	46	15	be	be	AUX
educationr-3693	46	16	,	,	PUNCT
educationr-3693	46	17	and	and	CCONJ
educationr-3693	46	18	some	some	PRON
educationr-3693	46	19	are	be	AUX
educationr-3693	46	20	on	on	ADP
educationr-3693	46	21	their	their	PRON
educationr-3693	46	22	way	way	NOUN
educationr-3693	46	23	to	to	ADP
educationr-3693	46	24	becoming	become	VERB
educationr-3693	46	25	heroes	hero	NOUN
educationr-3693	46	26	of	of	ADP
educationr-3693	46	27	mathematics	mathematic	NOUN
educationr-3693	46	28	.	.	PUNCT
educationr-3693	47	1	(	(	PUNCT
educationr-3693	47	2	p.	p.	NOUN
educationr-3693	47	3	16	16	NUM
educationr-3693	47	4	)	)	PUNCT
educationr-3693	47	5	this	this	PRON
educationr-3693	47	6	leads	lead	VERB
educationr-3693	47	7	to	to	ADP
educationr-3693	47	8	a	a	DET
educationr-3693	47	9	further	further	ADJ
educationr-3693	47	10	theme	theme	NOUN
educationr-3693	47	11	of	of	ADP
educationr-3693	47	12	the	the	DET
educationr-3693	47	13	book	book	NOUN
educationr-3693	47	14	that	that	PRON
educationr-3693	47	15	teachers	teacher	NOUN
educationr-3693	47	16	will	will	AUX
educationr-3693	47	17	need	need	VERB
educationr-3693	47	18	to	to	PART
educationr-3693	47	19	look	look	VERB
educationr-3693	47	20	at	at	ADP
educationr-3693	47	21	carefully	carefully	ADV
educationr-3693	47	22	:	:	PUNCT
educationr-3693	47	23	“	"	PUNCT
educationr-3693	47	24	there	there	PRON
educationr-3693	47	25	are	be	VERB
educationr-3693	47	26	distinctions	distinction	NOUN
educationr-3693	47	27	between	between	ADP
educationr-3693	47	28	being	be	AUX
educationr-3693	47	29	‘	'	PUNCT
educationr-3693	47	30	good	good	ADJ
educationr-3693	47	31	at	at	ADP
educationr-3693	47	32	math	math	NOUN
educationr-3693	47	33	,	,	PUNCT
educationr-3693	47	34	’	'	PUNCT
educationr-3693	47	35	being	be	AUX
educationr-3693	47	36	‘	'	PUNCT
educationr-3693	47	37	very	very	ADV
educationr-3693	47	38	good	good	ADJ
educationr-3693	47	39	at	at	ADP
educationr-3693	47	40	math	math	NOUN
educationr-3693	47	41	,	,	PUNCT
educationr-3693	47	42	’	'	PUNCT
educationr-3693	47	43	and	and	CCONJ
educationr-3693	47	44	being	be	AUX
educationr-3693	47	45	an	an	DET
educationr-3693	47	46	actual	actual	ADJ
educationr-3693	47	47	‘	'	PUNCT
educationr-3693	47	48	champion	champion	NOUN
educationr-3693	47	49	of	of	ADP
educationr-3693	47	50	math	math	NOUN
educationr-3693	47	51	’	'	PUNCT
educationr-3693	47	52	”	"	PUNCT
educationr-3693	48	1	(	(	PUNCT
educationr-3693	48	2	p.	p.	NOUN
educationr-3693	48	3	30	30	NUM
educationr-3693	48	4	)	)	PUNCT
educationr-3693	48	5	.	.	PUNCT
educationr-3693	49	1	with	with	ADP
educationr-3693	49	2	this	this	DET
educationr-3693	49	3	theme	theme	NOUN
educationr-3693	49	4	,	,	PUNCT
educationr-3693	49	5	the	the	DET
educationr-3693	49	6	authors	author	NOUN
educationr-3693	49	7	take	take	VERB
educationr-3693	49	8	on	on	ADP
educationr-3693	49	9	two	two	NUM
educationr-3693	49	10	grand	grand	ADJ
educationr-3693	49	11	challenges	challenge	NOUN
educationr-3693	49	12	:	:	PUNCT
educationr-3693	49	13	how	how	SCONJ
educationr-3693	49	14	can	can	AUX
educationr-3693	49	15	math	math	NOUN
educationr-3693	49	16	education	education	NOUN
educationr-3693	49	17	be	be	AUX
educationr-3693	49	18	improved	improve	VERB
educationr-3693	49	19	?	?	PUNCT
educationr-3693	50	1	what	what	PRON
educationr-3693	50	2	is	be	AUX
educationr-3693	50	3	mathematics	mathematic	NOUN
educationr-3693	50	4	?	?	PUNCT
educationr-3693	51	1	i	i	PRON
educationr-3693	51	2	believe	believe	VERB
educationr-3693	51	3	the	the	DET
educationr-3693	51	4	authors	author	NOUN
educationr-3693	51	5	achieve	achieve	VERB
educationr-3693	51	6	partial	partial	ADJ
educationr-3693	51	7	success	success	NOUN
educationr-3693	51	8	on	on	ADP
educationr-3693	51	9	the	the	DET
educationr-3693	51	10	first	first	ADJ
educationr-3693	51	11	challenge	challenge	NOUN
educationr-3693	51	12	.	.	PUNCT
educationr-3693	52	1	as	as	ADP
educationr-3693	52	2	to	to	ADP
educationr-3693	52	3	the	the	DET
educationr-3693	52	4	latter	latter	ADJ
educationr-3693	52	5	challenge	challenge	NOUN
educationr-3693	52	6	,	,	PUNCT
educationr-3693	52	7	the	the	DET
educationr-3693	52	8	book	book	NOUN
educationr-3693	52	9	could	could	AUX
educationr-3693	52	10	be	be	AUX
educationr-3693	52	11	added	add	VERB
educationr-3693	52	12	to	to	ADP
educationr-3693	52	13	the	the	DET
educationr-3693	52	14	library	library	NOUN
educationr-3693	52	15	of	of	ADP
educationr-3693	52	16	similar	similar	ADJ
educationr-3693	52	17	attempts	attempt	NOUN
educationr-3693	52	18	as	as	ADP
educationr-3693	52	19	a	a	DET
educationr-3693	52	20	somewhat	somewhat	ADV
educationr-3693	52	21	uneven	uneven	ADJ
educationr-3693	52	22	beginner	beginner	NOUN
educationr-3693	52	23	’s	’s	PART
educationr-3693	52	24	introduction	introduction	NOUN
educationr-3693	52	25	to	to	ADP
educationr-3693	52	26	the	the	DET
educationr-3693	52	27	history	history	NOUN
educationr-3693	52	28	and	and	CCONJ
educationr-3693	52	29	culture	culture	NOUN
educationr-3693	52	30	of	of	ADP
educationr-3693	52	31	mathematics	mathematic	NOUN
educationr-3693	52	32	.	.	PUNCT
educationr-3693	53	1	education	education	NOUN
educationr-3693	53	2	review	review	PROPN
educationr-3693	53	3	/reseñas	/reseñas	PROPN
educationr-3693	53	4	educativas	educativas	PROPN
educationr-3693	53	5	/	/	SYM
educationr-3693	53	6	resenhas	resenhas	PROPN
educationr-3693	53	7	educativas	educativas	NOUN
educationr-3693	53	8	4	4	NUM
educationr-3693	53	9	one	one	NOUN
educationr-3693	53	10	can	can	AUX
educationr-3693	53	11	posit	posit	VERB
educationr-3693	53	12	interesting	interesting	ADJ
educationr-3693	53	13	thought	think	VERB
educationr-3693	53	14	experiments	experiment	NOUN
educationr-3693	53	15	about	about	ADP
educationr-3693	53	16	teaching	teaching	NOUN
educationr-3693	53	17	,	,	PUNCT
educationr-3693	53	18	imagining	imagine	VERB
educationr-3693	53	19	for	for	ADP
educationr-3693	53	20	example	example	NOUN
educationr-3693	53	21	,	,	PUNCT
educationr-3693	53	22	that	that	SCONJ
educationr-3693	53	23	the	the	DET
educationr-3693	53	24	pressures	pressure	NOUN
educationr-3693	53	25	exerted	exert	VERB
educationr-3693	53	26	by	by	ADP
educationr-3693	53	27	testing	testing	NOUN
educationr-3693	53	28	based	base	VERB
educationr-3693	53	29	on	on	ADP
educationr-3693	53	30	state	state	NOUN
educationr-3693	53	31	or	or	CCONJ
educationr-3693	53	32	nationally	nationally	ADV
educationr-3693	53	33	recommended	recommend	VERB
educationr-3693	53	34	standards	standard	NOUN
educationr-3693	53	35	like	like	ADP
educationr-3693	53	36	the	the	DET
educationr-3693	53	37	common	common	ADJ
educationr-3693	53	38	core	core	NOUN
educationr-3693	53	39	could	could	AUX
educationr-3693	53	40	be	be	AUX
educationr-3693	53	41	eased	ease	VERB
educationr-3693	53	42	.	.	PUNCT
educationr-3693	54	1	the	the	DET
educationr-3693	54	2	approach	approach	NOUN
educationr-3693	54	3	to	to	ADP
educationr-3693	54	4	learning	learn	VERB
educationr-3693	54	5	outlined	outline	VERB
educationr-3693	54	6	by	by	ADP
educationr-3693	54	7	the	the	DET
educationr-3693	54	8	authors	author	NOUN
educationr-3693	54	9	could	could	AUX
educationr-3693	54	10	be	be	AUX
educationr-3693	54	11	useful	useful	ADJ
educationr-3693	54	12	to	to	ADP
educationr-3693	54	13	a	a	DET
educationr-3693	54	14	homeschooling	homeschoole	VERB
educationr-3693	54	15	parent	parent	NOUN
educationr-3693	54	16	or	or	CCONJ
educationr-3693	54	17	a	a	DET
educationr-3693	54	18	private	private	ADJ
educationr-3693	54	19	math	math	NOUN
educationr-3693	54	20	tutor	tutor	NOUN
educationr-3693	54	21	.	.	PUNCT
educationr-3693	55	1	these	these	DET
educationr-3693	55	2	“	"	PUNCT
educationr-3693	55	3	thresholds	threshold	NOUN
educationr-3693	55	4	,	,	PUNCT
educationr-3693	55	5	”	"	PUNCT
educationr-3693	55	6	like	like	ADP
educationr-3693	55	7	“	"	PUNCT
educationr-3693	55	8	teachable	teachable	ADJ
educationr-3693	55	9	moments	moment	NOUN
educationr-3693	55	10	,	,	PUNCT
educationr-3693	55	11	”	"	PUNCT
educationr-3693	55	12	ca	can	AUX
educationr-3693	55	13	n’t	not	PART
educationr-3693	55	14	be	be	AUX
educationr-3693	55	15	specified	specify	VERB
educationr-3693	55	16	in	in	ADP
educationr-3693	55	17	a	a	DET
educationr-3693	55	18	curriculum	curriculum	NOUN
educationr-3693	55	19	guide	guide	NOUN
educationr-3693	55	20	.	.	PUNCT
educationr-3693	56	1	they	they	PRON
educationr-3693	56	2	occur	occur	VERB
educationr-3693	56	3	at	at	ADP
educationr-3693	56	4	different	different	ADJ
educationr-3693	56	5	points	point	NOUN
educationr-3693	56	6	in	in	ADP
educationr-3693	56	7	each	each	DET
educationr-3693	56	8	student	student	NOUN
educationr-3693	56	9	’s	’s	PART
educationr-3693	56	10	development	development	NOUN
educationr-3693	56	11	and	and	CCONJ
educationr-3693	56	12	must	must	AUX
educationr-3693	56	13	be	be	AUX
educationr-3693	56	14	individually	individually	ADV
educationr-3693	56	15	identified	identify	VERB
educationr-3693	56	16	.	.	PUNCT
educationr-3693	57	1	details	detail	NOUN
educationr-3693	57	2	of	of	ADP
educationr-3693	57	3	how	how	SCONJ
educationr-3693	57	4	this	this	DET
educationr-3693	57	5	individualized	individualized	ADJ
educationr-3693	57	6	instruction	instruction	NOUN
educationr-3693	57	7	would	would	AUX
educationr-3693	57	8	work	work	VERB
educationr-3693	57	9	in	in	ADP
educationr-3693	57	10	a	a	DET
educationr-3693	57	11	typical	typical	ADJ
educationr-3693	57	12	school	school	NOUN
educationr-3693	57	13	setting	setting	NOUN
educationr-3693	57	14	at	at	ADP
educationr-3693	57	15	each	each	DET
educationr-3693	57	16	grade	grade	NOUN
educationr-3693	57	17	level	level	NOUN
educationr-3693	57	18	are	be	AUX
educationr-3693	57	19	not	not	PART
educationr-3693	57	20	included	include	VERB
educationr-3693	57	21	in	in	ADP
educationr-3693	57	22	their	their	PRON
educationr-3693	57	23	discussion	discussion	NOUN
educationr-3693	57	24	.	.	PUNCT
educationr-3693	58	1	many	many	ADJ
educationr-3693	58	2	educators	educator	NOUN
educationr-3693	58	3	are	be	AUX
educationr-3693	58	4	looking	look	VERB
educationr-3693	58	5	for	for	ADP
educationr-3693	58	6	ways	way	NOUN
educationr-3693	58	7	to	to	PART
educationr-3693	58	8	help	help	VERB
educationr-3693	58	9	all	all	DET
educationr-3693	58	10	students	student	NOUN
educationr-3693	58	11	gain	gain	VERB
educationr-3693	58	12	basic	basic	ADJ
educationr-3693	58	13	knowledge	knowledge	NOUN
educationr-3693	58	14	that	that	PRON
educationr-3693	58	15	will	will	AUX
educationr-3693	58	16	help	help	VERB
educationr-3693	58	17	them	they	PRON
educationr-3693	58	18	adapt	adapt	VERB
educationr-3693	58	19	to	to	ADP
educationr-3693	58	20	changing	change	VERB
educationr-3693	58	21	workplace	workplace	NOUN
educationr-3693	58	22	needs	need	NOUN
educationr-3693	58	23	.	.	PUNCT
educationr-3693	59	1	teachers	teacher	NOUN
educationr-3693	59	2	will	will	AUX
educationr-3693	59	3	be	be	AUX
educationr-3693	59	4	more	more	ADV
educationr-3693	59	5	concerned	concerned	ADJ
educationr-3693	59	6	with	with	ADP
educationr-3693	59	7	alignment	alignment	NOUN
educationr-3693	59	8	of	of	ADP
educationr-3693	59	9	a	a	DET
educationr-3693	59	10	student	student	NOUN
educationr-3693	59	11	’s	’s	PART
educationr-3693	59	12	personality	personality	NOUN
educationr-3693	59	13	to	to	ADP
educationr-3693	59	14	collaborative	collaborative	ADJ
educationr-3693	59	15	work	work	NOUN
educationr-3693	59	16	with	with	ADP
educationr-3693	59	17	colleagues	colleague	NOUN
educationr-3693	59	18	than	than	ADP
educationr-3693	59	19	with	with	ADP
educationr-3693	59	20	alignment	alignment	NOUN
educationr-3693	59	21	to	to	ADP
educationr-3693	59	22	a	a	DET
educationr-3693	59	23	legendary	legendary	ADJ
educationr-3693	59	24	hero	hero	NOUN
educationr-3693	59	25	.	.	PUNCT
educationr-3693	60	1	the	the	DET
educationr-3693	60	2	authors	author	NOUN
educationr-3693	60	3	apply	apply	VERB
educationr-3693	60	4	the	the	DET
educationr-3693	60	5	term	term	NOUN
educationr-3693	60	6	“	"	PUNCT
educationr-3693	60	7	personality	personality	NOUN
educationr-3693	60	8	”	"	PUNCT
educationr-3693	60	9	to	to	ADP
educationr-3693	60	10	students	student	NOUN
educationr-3693	60	11	at	at	ADP
educationr-3693	60	12	any	any	DET
educationr-3693	60	13	grade	grade	NOUN
educationr-3693	60	14	level	level	NOUN
educationr-3693	60	15	,	,	PUNCT
educationr-3693	60	16	to	to	ADP
educationr-3693	60	17	living	living	NOUN
educationr-3693	60	18	and	and	CCONJ
educationr-3693	60	19	historical	historical	ADJ
educationr-3693	60	20	figures	figure	NOUN
educationr-3693	60	21	,	,	PUNCT
educationr-3693	60	22	and	and	CCONJ
educationr-3693	60	23	to	to	ADP
educationr-3693	60	24	their	their	PRON
educationr-3693	60	25	constructed	construct	VERB
educationr-3693	60	26	personality	personality	NOUN
educationr-3693	60	27	of	of	ADP
educationr-3693	60	28	math	math	NOUN
educationr-3693	60	29	.	.	PUNCT
educationr-3693	61	1	this	this	PRON
educationr-3693	61	2	leads	lead	VERB
educationr-3693	61	3	to	to	ADP
educationr-3693	61	4	very	very	ADV
educationr-3693	61	5	broad	broad	ADJ
educationr-3693	61	6	generalizations	generalization	NOUN
educationr-3693	61	7	—	—	PUNCT
educationr-3693	61	8	about	about	ADP
educationr-3693	61	9	students	student	NOUN
educationr-3693	61	10	and	and	CCONJ
educationr-3693	61	11	about	about	ADP
educationr-3693	61	12	mathematics	mathematic	NOUN
educationr-3693	61	13	.	.	PUNCT
educationr-3693	62	1	for	for	ADP
educationr-3693	62	2	the	the	DET
educationr-3693	62	3	purposes	purpose	NOUN
educationr-3693	62	4	of	of	ADP
educationr-3693	62	5	this	this	DET
educationr-3693	62	6	book	book	NOUN
educationr-3693	62	7	,	,	PUNCT
educationr-3693	62	8	a	a	DET
educationr-3693	62	9	conversational	conversational	ADJ
educationr-3693	62	10	,	,	PUNCT
educationr-3693	62	11	or	or	CCONJ
educationr-3693	62	12	“	"	PUNCT
educationr-3693	62	13	folk	folk	NOUN
educationr-3693	62	14	psychology	psychology	NOUN
educationr-3693	62	15	”	"	PUNCT
educationr-3693	62	16	understanding	understanding	NOUN
educationr-3693	62	17	of	of	ADP
educationr-3693	62	18	personality	personality	NOUN
educationr-3693	62	19	traits	trait	NOUN
educationr-3693	62	20	may	may	AUX
educationr-3693	62	21	be	be	AUX
educationr-3693	62	22	adequate	adequate	ADJ
educationr-3693	62	23	,	,	PUNCT
educationr-3693	62	24	although	although	SCONJ
educationr-3693	62	25	a	a	DET
educationr-3693	62	26	school	school	NOUN
educationr-3693	62	27	psychologist	psychologist	NOUN
educationr-3693	62	28	might	might	AUX
educationr-3693	62	29	want	want	VERB
educationr-3693	62	30	more	more	ADJ
educationr-3693	62	31	gradation	gradation	NOUN
educationr-3693	62	32	.	.	PUNCT
educationr-3693	63	1	note	note	NOUN
educationr-3693	63	2	,	,	PUNCT
educationr-3693	63	3	for	for	ADP
educationr-3693	63	4	example	example	NOUN
educationr-3693	63	5	,	,	PUNCT
educationr-3693	63	6	that	that	SCONJ
educationr-3693	63	7	the	the	DET
educationr-3693	63	8	use	use	NOUN
educationr-3693	63	9	of	of	ADP
educationr-3693	63	10	the	the	DET
educationr-3693	63	11	expression	expression	NOUN
educationr-3693	63	12	“	"	PUNCT
educationr-3693	63	13	idiot	idiot	ADJ
educationr-3693	63	14	savant	savant	NOUN
educationr-3693	63	15	”	"	PUNCT
educationr-3693	63	16	(	(	PUNCT
educationr-3693	63	17	p.	p.	NOUN
educationr-3693	63	18	53	53	NUM
educationr-3693	63	19	)	)	PUNCT
educationr-3693	63	20	is	be	AUX
educationr-3693	63	21	now	now	ADV
educationr-3693	63	22	considered	consider	VERB
educationr-3693	63	23	dated	dated	ADJ
educationr-3693	63	24	and	and	CCONJ
educationr-3693	63	25	offensive	offensive	ADJ
educationr-3693	63	26	.	.	PUNCT
educationr-3693	64	1	one	one	NUM
educationr-3693	64	2	of	of	ADP
educationr-3693	64	3	the	the	DET
educationr-3693	64	4	authors	author	NOUN
educationr-3693	64	5	’	’	PART
educationr-3693	64	6	summative	summative	ADJ
educationr-3693	64	7	recommendations	recommendation	NOUN
educationr-3693	64	8	is	be	AUX
educationr-3693	64	9	that	that	SCONJ
educationr-3693	64	10	all	all	DET
educationr-3693	64	11	teachers	teacher	NOUN
educationr-3693	64	12	present	present	VERB
educationr-3693	64	13	the	the	DET
educationr-3693	64	14	subject	subject	NOUN
educationr-3693	64	15	with	with	ADP
educationr-3693	64	16	the	the	DET
educationr-3693	64	17	zeal	zeal	NOUN
educationr-3693	64	18	and	and	CCONJ
educationr-3693	64	19	love	love	NOUN
educationr-3693	64	20	for	for	ADP
educationr-3693	64	21	mathematics	mathematic	NOUN
educationr-3693	64	22	shown	show	VERB
educationr-3693	64	23	by	by	ADP
educationr-3693	64	24	individual	individual	ADJ
educationr-3693	64	25	heroes	hero	NOUN
educationr-3693	64	26	in	in	ADP
educationr-3693	64	27	the	the	DET
educationr-3693	64	28	wagner	wagner	NOUN
educationr-3693	64	29	and	and	CCONJ
educationr-3693	64	30	fair	fair	ADJ
educationr-3693	64	31	catalog	catalog	NOUN
educationr-3693	64	32	.	.	PUNCT
educationr-3693	65	1	educational	educational	ADJ
educationr-3693	65	2	programs	program	NOUN
educationr-3693	65	3	that	that	PRON
educationr-3693	65	4	give	give	VERB
educationr-3693	65	5	the	the	DET
educationr-3693	65	6	teachers	teacher	NOUN
educationr-3693	65	7	the	the	DET
educationr-3693	65	8	chance	chance	NOUN
educationr-3693	65	9	to	to	PART
educationr-3693	65	10	study	study	VERB
educationr-3693	65	11	real	real	ADJ
educationr-3693	65	12	mathematics	mathematic	NOUN
educationr-3693	65	13	with	with	ADP
educationr-3693	65	14	inspiring	inspiring	ADJ
educationr-3693	65	15	mathematicians	mathematician	NOUN
educationr-3693	65	16	can	can	AUX
educationr-3693	65	17	help	help	VERB
educationr-3693	65	18	in	in	ADP
educationr-3693	65	19	this	this	DET
educationr-3693	65	20	regard	regard	NOUN
educationr-3693	65	21	,	,	PUNCT
educationr-3693	65	22	especially	especially	ADV
educationr-3693	65	23	if	if	SCONJ
educationr-3693	65	24	the	the	DET
educationr-3693	65	25	mathematics	mathematic	NOUN
educationr-3693	65	26	is	be	AUX
educationr-3693	65	27	informed	inform	VERB
educationr-3693	65	28	by	by	ADP
educationr-3693	65	29	current	current	ADJ
educationr-3693	65	30	practice	practice	NOUN
educationr-3693	65	31	,	,	PUNCT
educationr-3693	65	32	which	which	PRON
educationr-3693	65	33	is	be	AUX
educationr-3693	65	34	highly	highly	ADV
educationr-3693	65	35	collaborative	collaborative	ADJ
educationr-3693	65	36	.	.	PUNCT
educationr-3693	66	1	although	although	SCONJ
educationr-3693	66	2	a	a	DET
educationr-3693	66	3	mathematician	mathematician	NOUN
educationr-3693	66	4	may	may	AUX
educationr-3693	66	5	present	present	VERB
educationr-3693	66	6	work	work	NOUN
educationr-3693	66	7	done	do	VERB
educationr-3693	66	8	individually	individually	ADV
educationr-3693	66	9	to	to	ADP
educationr-3693	66	10	a	a	DET
educationr-3693	66	11	journal	journal	NOUN
educationr-3693	66	12	,	,	PUNCT
educationr-3693	66	13	other	other	ADJ
educationr-3693	66	14	mathematicians	mathematician	NOUN
educationr-3693	66	15	must	must	AUX
educationr-3693	66	16	serve	serve	VERB
educationr-3693	66	17	as	as	ADP
educationr-3693	66	18	referees	referee	NOUN
educationr-3693	66	19	to	to	PART
educationr-3693	66	20	guarantee	guarantee	VERB
educationr-3693	66	21	the	the	DET
educationr-3693	66	22	validity	validity	NOUN
educationr-3693	66	23	of	of	ADP
educationr-3693	66	24	the	the	DET
educationr-3693	66	25	submission	submission	NOUN
educationr-3693	66	26	,	,	PUNCT
educationr-3693	66	27	even	even	ADV
educationr-3693	66	28	if	if	SCONJ
educationr-3693	66	29	the	the	DET
educationr-3693	66	30	submission	submission	NOUN
educationr-3693	66	31	comes	come	VERB
educationr-3693	66	32	from	from	ADP
educationr-3693	66	33	a	a	DET
educationr-3693	66	34	mathematical	mathematical	ADJ
educationr-3693	66	35	luminary	luminary	NOUN
educationr-3693	66	36	like	like	ADP
educationr-3693	66	37	marcus	marcus	PROPN
educationr-3693	66	38	du	du	PROPN
educationr-3693	66	39	sautoy	sautoy	PROPN
educationr-3693	66	40	.	.	PUNCT
educationr-3693	67	1	mathematics	mathematic	NOUN
educationr-3693	67	2	departments	department	NOUN
educationr-3693	67	3	regularly	regularly	ADV
educationr-3693	67	4	hold	hold	VERB
educationr-3693	67	5	seminars	seminar	NOUN
educationr-3693	67	6	and	and	CCONJ
educationr-3693	67	7	colloquia	colloquium	NOUN
educationr-3693	67	8	at	at	ADP
educationr-3693	67	9	which	which	PRON
educationr-3693	67	10	new	new	ADJ
educationr-3693	67	11	ideas	idea	NOUN
educationr-3693	67	12	are	be	AUX
educationr-3693	67	13	presented	present	VERB
educationr-3693	67	14	and	and	CCONJ
educationr-3693	67	15	critiqued	critique	VERB
educationr-3693	67	16	.	.	PUNCT
educationr-3693	68	1	mathematicians	mathematician	NOUN
educationr-3693	68	2	are	be	AUX
educationr-3693	68	3	given	give	VERB
educationr-3693	68	4	sabbaticals	sabbatical	NOUN
educationr-3693	68	5	and	and	CCONJ
educationr-3693	68	6	awarded	award	VERB
educationr-3693	68	7	additional	additional	ADJ
educationr-3693	68	8	research	research	NOUN
educationr-3693	68	9	time	time	NOUN
educationr-3693	68	10	for	for	ADP
educationr-3693	68	11	their	their	PRON
educationr-3693	68	12	“	"	PUNCT
educationr-3693	68	13	journeys	journey	NOUN
educationr-3693	68	14	into	into	ADP
educationr-3693	68	15	the	the	DET
educationr-3693	68	16	wilderness	wilderness	NOUN
educationr-3693	68	17	,	,	PUNCT
educationr-3693	68	18	”	"	PUNCT
educationr-3693	68	19	but	but	CCONJ
educationr-3693	68	20	it	it	PRON
educationr-3693	68	21	is	be	AUX
educationr-3693	68	22	a	a	DET
educationr-3693	68	23	mistake	mistake	NOUN
educationr-3693	68	24	to	to	PART
educationr-3693	68	25	view	view	VERB
educationr-3693	68	26	their	their	PRON
educationr-3693	68	27	work	work	NOUN
educationr-3693	68	28	as	as	ADP
educationr-3693	68	29	a	a	DET
educationr-3693	68	30	solo	solo	ADJ
educationr-3693	68	31	heroic	heroic	ADJ
educationr-3693	68	32	journey	journey	NOUN
educationr-3693	68	33	.	.	PUNCT
educationr-3693	69	1	an	an	DET
educationr-3693	69	2	excellent	excellent	ADJ
educationr-3693	69	3	example	example	NOUN
educationr-3693	69	4	of	of	ADP
educationr-3693	69	5	this	this	PRON
educationr-3693	69	6	is	be	AUX
educationr-3693	69	7	the	the	DET
educationr-3693	69	8	recent	recent	ADJ
educationr-3693	69	9	book	book	NOUN
educationr-3693	69	10	count	count	VERB
educationr-3693	69	11	me	i	PRON
educationr-3693	69	12	in	in	ADP
educationr-3693	69	13	:	:	PUNCT
educationr-3693	69	14	community	community	NOUN
educationr-3693	69	15	and	and	CCONJ
educationr-3693	69	16	belonging	belong	VERB
educationr-3693	69	17	in	in	ADP
educationr-3693	69	18	mathematics	mathematic	NOUN
educationr-3693	69	19	.	.	PUNCT
educationr-3693	70	1	the	the	DET
educationr-3693	70	2	book	book	NOUN
educationr-3693	70	3	is	be	AUX
educationr-3693	70	4	reviewed	review	VERB
educationr-3693	70	5	in	in	ADP
educationr-3693	70	6	the	the	DET
educationr-3693	70	7	march	march	PROPN
educationr-3693	70	8	2023	2023	NUM
educationr-3693	70	9	notices	notice	NOUN
educationr-3693	70	10	of	of	ADP
educationr-3693	70	11	the	the	DET
educationr-3693	70	12	american	american	PROPN
educationr-3693	70	13	mathematical	mathematical	PROPN
educationr-3693	70	14	society	society	NOUN
educationr-3693	70	15	,	,	PUNCT
educationr-3693	70	16	an	an	DET
educationr-3693	70	17	issue	issue	NOUN
educationr-3693	70	18	paying	pay	VERB
educationr-3693	70	19	special	special	ADJ
educationr-3693	70	20	attention	attention	NOUN
educationr-3693	70	21	to	to	ADP
educationr-3693	70	22	women	woman	NOUN
educationr-3693	70	23	’s	’s	PART
educationr-3693	70	24	history	history	NOUN
educationr-3693	70	25	month	month	NOUN
educationr-3693	70	26	.	.	PUNCT
educationr-3693	71	1	the	the	DET
educationr-3693	71	2	review	review	NOUN
educationr-3693	71	3	,	,	PUNCT
educationr-3693	71	4	by	by	ADP
educationr-3693	71	5	emily	emily	PROPN
educationr-3693	71	6	olson	olson	PROPN
educationr-3693	71	7	(	(	PUNCT
educationr-3693	71	8	2023	2023	NUM
educationr-3693	71	9	)	)	PUNCT
educationr-3693	71	10	includes	include	VERB
educationr-3693	71	11	this	this	DET
educationr-3693	71	12	relevant	relevant	ADJ
educationr-3693	71	13	passage	passage	NOUN
educationr-3693	71	14	:	:	PUNCT
educationr-3693	71	15	what	what	PRON
educationr-3693	71	16	are	be	AUX
educationr-3693	71	17	the	the	DET
educationr-3693	71	18	biggest	big	ADJ
educationr-3693	71	19	open	open	ADJ
educationr-3693	71	20	problems	problem	NOUN
educationr-3693	71	21	in	in	ADP
educationr-3693	71	22	your	your	PRON
educationr-3693	71	23	area	area	NOUN
educationr-3693	71	24	of	of	ADP
educationr-3693	71	25	mathematics	mathematic	NOUN
educationr-3693	71	26	today	today	NOUN
educationr-3693	71	27	?	?	PUNCT
educationr-3693	72	1	perhaps	perhaps	ADV
educationr-3693	72	2	your	your	PRON
educationr-3693	72	3	first	first	ADJ
educationr-3693	72	4	thought	thought	NOUN
educationr-3693	72	5	was	be	AUX
educationr-3693	72	6	something	something	PRON
educationr-3693	72	7	quite	quite	ADV
educationr-3693	72	8	famous	famous	ADJ
educationr-3693	72	9	,	,	PUNCT
educationr-3693	72	10	such	such	ADJ
educationr-3693	72	11	as	as	ADP
educationr-3693	72	12	the	the	DET
educationr-3693	72	13	riemann	riemann	PROPN
educationr-3693	72	14	hypothesis	hypothesis	NOUN
educationr-3693	72	15	or	or	CCONJ
educationr-3693	72	16	p	p	NOUN
educationr-3693	72	17	versus	versus	ADP
educationr-3693	72	18	np	np	INTJ
educationr-3693	72	19	.	.	PUNCT
educationr-3693	73	1	perhaps	perhaps	ADV
educationr-3693	73	2	you	you	PRON
educationr-3693	73	3	have	have	VERB
educationr-3693	73	4	an	an	DET
educationr-3693	73	5	open	open	ADJ
educationr-3693	73	6	problem	problem	NOUN
educationr-3693	73	7	in	in	ADP
educationr-3693	73	8	your	your	PRON
educationr-3693	73	9	area	area	NOUN
educationr-3693	73	10	of	of	ADP
educationr-3693	73	11	mathematics	mathematic	NOUN
educationr-3693	73	12	that	that	PRON
educationr-3693	73	13	you	you	PRON
educationr-3693	73	14	have	have	AUX
educationr-3693	73	15	thought	think	VERB
educationr-3693	73	16	about	about	ADP
educationr-3693	73	17	for	for	ADP
educationr-3693	73	18	a	a	DET
educationr-3693	73	19	few	few	ADJ
educationr-3693	73	20	months	month	NOUN
educationr-3693	73	21	(	(	PUNCT
educationr-3693	73	22	or	or	CCONJ
educationr-3693	73	23	a	a	DET
educationr-3693	73	24	few	few	ADJ
educationr-3693	73	25	years	year	NOUN
educationr-3693	73	26	)	)	PUNCT
educationr-3693	73	27	there	there	PRON
educationr-3693	73	28	are	be	VERB
educationr-3693	73	29	very	very	ADV
educationr-3693	73	30	few	few	ADJ
educationr-3693	73	31	open	open	ADJ
educationr-3693	73	32	problems	problem	NOUN
educationr-3693	73	33	that	that	PRON
educationr-3693	73	34	affect	affect	VERB
educationr-3693	73	35	almost	almost	ADV
educationr-3693	73	36	every	every	PRON
educationr-3693	73	37	review	review	NOUN
educationr-3693	73	38	of	of	ADP
educationr-3693	73	39	the	the	DET
educationr-3693	73	40	personality	personality	NOUN
educationr-3693	73	41	of	of	ADP
educationr-3693	73	42	math	math	NOUN
educationr-3693	73	43	5	5	NUM
educationr-3693	73	44	mathematician	mathematician	NOUN
educationr-3693	73	45	.	.	PUNCT
educationr-3693	74	1	count	count	VERB
educationr-3693	74	2	me	i	PRON
educationr-3693	74	3	in	in	ADP
educationr-3693	74	4	highlights	highlight	NOUN
educationr-3693	74	5	one	one	NUM
educationr-3693	74	6	in	in	ADP
educationr-3693	74	7	particular	particular	ADJ
educationr-3693	74	8	:	:	PUNCT
educationr-3693	74	9	how	how	SCONJ
educationr-3693	74	10	can	can	AUX
educationr-3693	74	11	we	we	PRON
educationr-3693	74	12	increase	increase	VERB
educationr-3693	74	13	diversity	diversity	NOUN
educationr-3693	74	14	among	among	ADP
educationr-3693	74	15	mathematicians	mathematician	NOUN
educationr-3693	74	16	?	?	PUNCT
educationr-3693	75	1	(	(	PUNCT
educationr-3693	75	2	p.	p.	NOUN
educationr-3693	75	3	464	464	NUM
educationr-3693	75	4	)	)	PUNCT
educationr-3693	75	5	the	the	DET
educationr-3693	75	6	socratic	socratic	ADJ
educationr-3693	75	7	approach	approach	NOUN
educationr-3693	75	8	of	of	ADP
educationr-3693	75	9	indoctrination	indoctrination	NOUN
educationr-3693	75	10	-	-	PUNCT
educationr-3693	75	11	threshold	threshold	NOUN
educationr-3693	75	12	/	/	SYM
educationr-3693	75	13	benchmark	benchmark	NOUN
educationr-3693	75	14	-	-	PUNCT
educationr-3693	75	15	doubt	doubt	NOUN
educationr-3693	75	16	used	use	VERB
educationr-3693	75	17	to	to	PART
educationr-3693	75	18	create	create	VERB
educationr-3693	75	19	a	a	DET
educationr-3693	75	20	champion	champion	NOUN
educationr-3693	75	21	of	of	ADP
educationr-3693	75	22	math	math	NOUN
educationr-3693	75	23	might	might	AUX
educationr-3693	75	24	fit	fit	VERB
educationr-3693	75	25	into	into	ADP
educationr-3693	75	26	the	the	DET
educationr-3693	75	27	excellent	excellent	ADJ
educationr-3693	75	28	national	national	ADJ
educationr-3693	75	29	math	math	PROPN
educationr-3693	75	30	competitions	competition	NOUN
educationr-3693	75	31	in	in	ADP
educationr-3693	75	32	which	which	PRON
educationr-3693	75	33	many	many	ADJ
educationr-3693	75	34	schools	school	NOUN
educationr-3693	75	35	participate	participate	VERB
educationr-3693	75	36	.	.	PUNCT
educationr-3693	76	1	finding	find	VERB
educationr-3693	76	2	the	the	DET
educationr-3693	76	3	individual	individual	ADJ
educationr-3693	76	4	benchmark	benchmark	NOUN
educationr-3693	76	5	thresholds	threshold	NOUN
educationr-3693	76	6	for	for	ADP
educationr-3693	76	7	the	the	DET
educationr-3693	76	8	100	100	NUM
educationr-3693	76	9	or	or	CCONJ
educationr-3693	76	10	more	more	ADJ
educationr-3693	76	11	students	student	NOUN
educationr-3693	76	12	a	a	DET
educationr-3693	76	13	secondary	secondary	ADJ
educationr-3693	76	14	public	public	ADJ
educationr-3693	76	15	school	school	NOUN
educationr-3693	76	16	teacher	teacher	NOUN
educationr-3693	76	17	meets	meet	VERB
educationr-3693	76	18	in	in	ADP
educationr-3693	76	19	a	a	DET
educationr-3693	76	20	day	day	NOUN
educationr-3693	76	21	would	would	AUX
educationr-3693	76	22	be	be	AUX
educationr-3693	76	23	an	an	DET
educationr-3693	76	24	instructional	instructional	ADJ
educationr-3693	76	25	challenge	challenge	NOUN
educationr-3693	76	26	in	in	ADP
educationr-3693	76	27	itself	itself	PRON
educationr-3693	76	28	.	.	PUNCT
educationr-3693	77	1	practical	practical	ADJ
educationr-3693	77	2	application	application	NOUN
educationr-3693	77	3	aside	aside	ADV
educationr-3693	77	4	,	,	PUNCT
educationr-3693	77	5	terms	term	NOUN
educationr-3693	77	6	in	in	ADP
educationr-3693	77	7	this	this	DET
educationr-3693	77	8	book	book	NOUN
educationr-3693	77	9	that	that	PRON
educationr-3693	77	10	would	would	AUX
educationr-3693	77	11	certainly	certainly	ADV
educationr-3693	77	12	hinder	hinder	VERB
educationr-3693	77	13	the	the	DET
educationr-3693	77	14	adoption	adoption	NOUN
educationr-3693	77	15	of	of	ADP
educationr-3693	77	16	the	the	DET
educationr-3693	77	17	pedagogy	pedagogy	NOUN
educationr-3693	77	18	described	describe	VERB
educationr-3693	77	19	include	include	VERB
educationr-3693	77	20	the	the	DET
educationr-3693	77	21	use	use	NOUN
educationr-3693	77	22	of	of	ADP
educationr-3693	77	23	“	"	PUNCT
educationr-3693	77	24	indoctrination	indoctrination	NOUN
educationr-3693	77	25	”	"	PUNCT
educationr-3693	77	26	—	—	PUNCT
educationr-3693	77	27	despite	despite	SCONJ
educationr-3693	77	28	their	their	PRON
educationr-3693	77	29	etymological	etymological	ADJ
educationr-3693	77	30	disclaimer	disclaimer	NOUN
educationr-3693	77	31	—	—	PUNCT
educationr-3693	77	32	to	to	PART
educationr-3693	77	33	describe	describe	VERB
educationr-3693	77	34	the	the	DET
educationr-3693	77	35	presentation	presentation	NOUN
educationr-3693	77	36	of	of	ADP
educationr-3693	77	37	mathematical	mathematical	ADJ
educationr-3693	77	38	ideas	idea	NOUN
educationr-3693	77	39	in	in	ADP
educationr-3693	77	40	a	a	DET
educationr-3693	77	41	classroom	classroom	NOUN
educationr-3693	77	42	.	.	PUNCT
educationr-3693	78	1	teachers	teacher	NOUN
educationr-3693	78	2	,	,	PUNCT
educationr-3693	78	3	who	who	PRON
educationr-3693	78	4	today	today	NOUN
educationr-3693	78	5	are	be	AUX
educationr-3693	78	6	fighting	fight	VERB
educationr-3693	78	7	charges	charge	NOUN
educationr-3693	78	8	of	of	ADP
educationr-3693	78	9	indoctrination	indoctrination	NOUN
educationr-3693	78	10	from	from	ADP
educationr-3693	78	11	anti	anti	ADJ
educationr-3693	78	12	-	-	ADJ
educationr-3693	78	13	education	education	ADJ
educationr-3693	78	14	extremists	extremist	NOUN
educationr-3693	78	15	,	,	PUNCT
educationr-3693	78	16	will	will	AUX
educationr-3693	78	17	not	not	PART
educationr-3693	78	18	want	want	VERB
educationr-3693	78	19	that	that	DET
educationr-3693	78	20	word	word	NOUN
educationr-3693	78	21	included	include	VERB
educationr-3693	78	22	in	in	ADP
educationr-3693	78	23	their	their	PRON
educationr-3693	78	24	lesson	lesson	NOUN
educationr-3693	78	25	plans	plan	NOUN
educationr-3693	78	26	.	.	PUNCT
educationr-3693	79	1	the	the	DET
educationr-3693	79	2	reference	reference	NOUN
educationr-3693	79	3	to	to	ADP
educationr-3693	79	4	standard	standard	ADJ
educationr-3693	79	5	teaching	teaching	NOUN
educationr-3693	79	6	as	as	ADP
educationr-3693	79	7	“	"	PUNCT
educationr-3693	79	8	ritualized	ritualized	ADJ
educationr-3693	79	9	signaling	signal	VERB
educationr-3693	79	10	,	,	PUNCT
educationr-3693	79	11	”	"	PUNCT
educationr-3693	79	12	using	use	VERB
educationr-3693	79	13	the	the	DET
educationr-3693	79	14	referenced	referenced	ADJ
educationr-3693	79	15	book	book	NOUN
educationr-3693	79	16	on	on	ADP
educationr-3693	79	17	animal	animal	NOUN
educationr-3693	79	18	communication	communication	NOUN
educationr-3693	79	19	to	to	PART
educationr-3693	79	20	describe	describe	VERB
educationr-3693	79	21	math	math	NOUN
educationr-3693	79	22	classroom	classroom	NOUN
educationr-3693	79	23	discourse	discourse	NOUN
educationr-3693	79	24	,	,	PUNCT
educationr-3693	79	25	would	would	AUX
educationr-3693	79	26	not	not	PART
educationr-3693	79	27	be	be	AUX
educationr-3693	79	28	well	well	ADV
educationr-3693	79	29	received	receive	VERB
educationr-3693	79	30	(	(	PUNCT
educationr-3693	79	31	pp	pp	ADJ
educationr-3693	79	32	.	.	PUNCT
educationr-3693	80	1	12	12	NUM
educationr-3693	80	2	ff	ff	NOUN
educationr-3693	80	3	.	.	PUNCT
educationr-3693	80	4	)	)	PUNCT
educationr-3693	80	5	.	.	PUNCT
educationr-3693	81	1	a	a	DET
educationr-3693	81	2	school	school	NOUN
educationr-3693	81	3	psychologist	psychologist	NOUN
educationr-3693	81	4	’s	’s	PART
educationr-3693	81	5	view	view	NOUN
educationr-3693	81	6	of	of	ADP
educationr-3693	81	7	“	"	PUNCT
educationr-3693	81	8	personality	personality	NOUN
educationr-3693	81	9	”	"	PUNCT
educationr-3693	81	10	would	would	AUX
educationr-3693	81	11	not	not	PART
educationr-3693	81	12	be	be	AUX
educationr-3693	81	13	the	the	DET
educationr-3693	81	14	same	same	ADJ
educationr-3693	81	15	as	as	ADP
educationr-3693	81	16	the	the	DET
educationr-3693	81	17	“	"	PUNCT
educationr-3693	81	18	personality	personality	NOUN
educationr-3693	81	19	”	"	PUNCT
educationr-3693	81	20	of	of	ADP
educationr-3693	81	21	math	math	NOUN
educationr-3693	81	22	constructed	construct	VERB
educationr-3693	81	23	from	from	ADP
educationr-3693	81	24	the	the	DET
educationr-3693	81	25	“	"	PUNCT
educationr-3693	81	26	cherry	cherry	NOUN
educationr-3693	81	27	picking	picking	NOUN
educationr-3693	81	28	”	"	PUNCT
educationr-3693	81	29	methodology	methodology	NOUN
educationr-3693	81	30	described	describe	VERB
educationr-3693	81	31	by	by	ADP
educationr-3693	81	32	wagner	wagner	PROPN
educationr-3693	81	33	and	and	CCONJ
educationr-3693	81	34	fair	fair	ADJ
educationr-3693	81	35	(	(	PUNCT
educationr-3693	81	36	p.	p.	NOUN
educationr-3693	81	37	40	40	NUM
educationr-3693	81	38	)	)	PUNCT
educationr-3693	81	39	.	.	PUNCT
educationr-3693	82	1	parents	parent	NOUN
educationr-3693	82	2	would	would	AUX
educationr-3693	82	3	have	have	VERB
educationr-3693	82	4	a	a	DET
educationr-3693	82	5	different	different	ADJ
educationr-3693	82	6	view	view	NOUN
educationr-3693	82	7	of	of	ADP
educationr-3693	82	8	their	their	PRON
educationr-3693	82	9	child	child	NOUN
educationr-3693	82	10	’s	’s	PART
educationr-3693	82	11	personality	personality	NOUN
educationr-3693	82	12	than	than	ADP
educationr-3693	82	13	the	the	DET
educationr-3693	82	14	ones	one	NOUN
educationr-3693	82	15	described	describe	VERB
educationr-3693	82	16	in	in	ADP
educationr-3693	82	17	many	many	ADJ
educationr-3693	82	18	of	of	ADP
educationr-3693	82	19	the	the	DET
educationr-3693	82	20	examples	example	NOUN
educationr-3693	82	21	included	include	VERB
educationr-3693	82	22	in	in	ADP
educationr-3693	82	23	the	the	DET
educationr-3693	82	24	book	book	NOUN
educationr-3693	82	25	.	.	PUNCT
educationr-3693	83	1	finally	finally	ADV
educationr-3693	83	2	,	,	PUNCT
educationr-3693	83	3	promoting	promote	VERB
educationr-3693	83	4	“	"	PUNCT
educationr-3693	83	5	doubt	doubt	NOUN
educationr-3693	83	6	”	"	PUNCT
educationr-3693	83	7	and	and	CCONJ
educationr-3693	83	8	“	"	PUNCT
educationr-3693	83	9	aligning	align	VERB
educationr-3693	83	10	the	the	DET
educationr-3693	83	11	personality	personality	NOUN
educationr-3693	83	12	of	of	ADP
educationr-3693	83	13	the	the	DET
educationr-3693	83	14	student	student	NOUN
educationr-3693	83	15	”	"	PUNCT
educationr-3693	83	16	could	could	AUX
educationr-3693	83	17	quickly	quickly	ADV
educationr-3693	83	18	be	be	AUX
educationr-3693	83	19	dangerously	dangerously	ADV
educationr-3693	83	20	misinterpreted	misinterpret	VERB
educationr-3693	83	21	.	.	PUNCT
educationr-3693	84	1	one	one	NUM
educationr-3693	84	2	hopes	hope	VERB
educationr-3693	84	3	not	not	PART
educationr-3693	84	4	to	to	PART
educationr-3693	84	5	witness	witness	VERB
educationr-3693	84	6	our	our	PRON
educationr-3693	84	7	teachers	teacher	NOUN
educationr-3693	84	8	meeting	meet	VERB
educationr-3693	84	9	the	the	DET
educationr-3693	84	10	same	same	ADJ
educationr-3693	84	11	fate	fate	NOUN
educationr-3693	84	12	,	,	PUNCT
educationr-3693	84	13	even	even	ADV
educationr-3693	84	14	figuratively	figuratively	ADV
educationr-3693	84	15	,	,	PUNCT
educationr-3693	84	16	of	of	ADP
educationr-3693	84	17	socrates	socrate	NOUN
educationr-3693	84	18	or	or	CCONJ
educationr-3693	84	19	hypatia	hypatia	PROPN
educationr-3693	84	20	.	.	PUNCT
educationr-3693	85	1	the	the	DET
educationr-3693	85	2	most	most	ADV
educationr-3693	85	3	serious	serious	ADJ
educationr-3693	85	4	educational	educational	ADJ
educationr-3693	85	5	flaw	flaw	NOUN
educationr-3693	85	6	in	in	ADP
educationr-3693	85	7	the	the	DET
educationr-3693	85	8	wagner	wagner	NOUN
educationr-3693	85	9	and	and	CCONJ
educationr-3693	85	10	fair	fair	ADJ
educationr-3693	85	11	scheme	scheme	NOUN
educationr-3693	85	12	is	be	AUX
educationr-3693	85	13	their	their	PRON
educationr-3693	85	14	representation	representation	NOUN
educationr-3693	85	15	of	of	ADP
educationr-3693	85	16	mathematics	mathematic	NOUN
educationr-3693	85	17	as	as	ADP
educationr-3693	85	18	a	a	DET
educationr-3693	85	19	female	female	ADJ
educationr-3693	85	20	entity	entity	NOUN
educationr-3693	85	21	pursued	pursue	VERB
educationr-3693	85	22	by	by	ADP
educationr-3693	85	23	suitors	suitor	NOUN
educationr-3693	85	24	,	,	PUNCT
educationr-3693	85	25	a	a	DET
educationr-3693	85	26	term	term	NOUN
educationr-3693	85	27	that	that	PRON
educationr-3693	85	28	in	in	ADP
educationr-3693	85	29	any	any	DET
educationr-3693	85	30	standard	standard	ADJ
educationr-3693	85	31	definition	definition	NOUN
educationr-3693	85	32	refers	refer	VERB
educationr-3693	85	33	to	to	ADP
educationr-3693	85	34	men	man	NOUN
educationr-3693	85	35	trying	try	VERB
educationr-3693	85	36	to	to	PART
educationr-3693	85	37	win	win	VERB
educationr-3693	85	38	the	the	DET
educationr-3693	85	39	affection	affection	NOUN
educationr-3693	85	40	of	of	ADP
educationr-3693	85	41	a	a	DET
educationr-3693	85	42	woman	woman	NOUN
educationr-3693	85	43	with	with	ADP
educationr-3693	85	44	a	a	DET
educationr-3693	85	45	hope	hope	NOUN
educationr-3693	85	46	of	of	ADP
educationr-3693	85	47	future	future	ADJ
educationr-3693	85	48	marriage	marriage	NOUN
educationr-3693	85	49	.	.	PUNCT
educationr-3693	86	1	i	i	PRON
educationr-3693	86	2	wo	will	AUX
educationr-3693	86	3	n’t	not	PART
educationr-3693	86	4	belabor	belabor	VERB
educationr-3693	86	5	this	this	DET
educationr-3693	86	6	point	point	NOUN
educationr-3693	86	7	,	,	PUNCT
educationr-3693	86	8	other	other	ADJ
educationr-3693	86	9	than	than	SCONJ
educationr-3693	86	10	to	to	PART
educationr-3693	86	11	say	say	VERB
educationr-3693	86	12	that	that	SCONJ
educationr-3693	86	13	including	include	VERB
educationr-3693	86	14	information	information	NOUN
educationr-3693	86	15	on	on	ADP
educationr-3693	86	16	a	a	DET
educationr-3693	86	17	few	few	ADJ
educationr-3693	86	18	women	woman	NOUN
educationr-3693	86	19	mathematicians	mathematician	NOUN
educationr-3693	86	20	,	,	PUNCT
educationr-3693	86	21	such	such	ADJ
educationr-3693	86	22	as	as	ADP
educationr-3693	86	23	the	the	DET
educationr-3693	86	24	remarkable	remarkable	ADJ
educationr-3693	86	25	emmy	emmy	ADJ
educationr-3693	86	26	noether	noether	PROPN
educationr-3693	86	27	,	,	PUNCT
educationr-3693	86	28	does	do	AUX
educationr-3693	86	29	not	not	PART
educationr-3693	86	30	offset	offset	VERB
educationr-3693	86	31	statements	statement	NOUN
educationr-3693	86	32	such	such	ADJ
educationr-3693	86	33	as	as	ADP
educationr-3693	86	34	“	"	PUNCT
educationr-3693	86	35	these	these	DET
educationr-3693	86	36	challenges	challenge	NOUN
educationr-3693	86	37	reveal	reveal	VERB
educationr-3693	86	38	mathematics	mathematic	NOUN
educationr-3693	86	39	as	as	ADP
educationr-3693	86	40	truly	truly	ADV
educationr-3693	86	41	the	the	DET
educationr-3693	86	42	queen	queen	NOUN
educationr-3693	86	43	of	of	ADP
educationr-3693	86	44	all	all	DET
educationr-3693	86	45	searches	search	NOUN
educationr-3693	86	46	for	for	ADP
educationr-3693	86	47	reality	reality	NOUN
educationr-3693	86	48	”	"	PUNCT
educationr-3693	86	49	(	(	PUNCT
educationr-3693	86	50	p.	p.	NOUN
educationr-3693	86	51	16	16	NUM
educationr-3693	86	52	)	)	PUNCT
educationr-3693	86	53	;	;	PUNCT
educationr-3693	86	54	“	"	PUNCT
educationr-3693	86	55	personality	personality	NOUN
educationr-3693	86	56	of	of	ADP
educationr-3693	86	57	the	the	DET
educationr-3693	86	58	heroes	hero	NOUN
educationr-3693	86	59	and	and	CCONJ
educationr-3693	86	60	their	their	PRON
educationr-3693	86	61	marriage	marriage	NOUN
educationr-3693	86	62	with	with	ADP
educationr-3693	86	63	math	math	NOUN
educationr-3693	86	64	”	"	PUNCT
educationr-3693	86	65	(	(	PUNCT
educationr-3693	86	66	p.	p.	NOUN
educationr-3693	86	67	41	41	NUM
educationr-3693	86	68	)	)	PUNCT
educationr-3693	86	69	;	;	PUNCT
educationr-3693	86	70	or	or	CCONJ
educationr-3693	86	71	“	"	PUNCT
educationr-3693	86	72	time	time	NOUN
educationr-3693	86	73	to	to	PART
educationr-3693	86	74	take	take	VERB
educationr-3693	86	75	a	a	DET
educationr-3693	86	76	look	look	NOUN
educationr-3693	86	77	at	at	ADP
educationr-3693	86	78	the	the	DET
educationr-3693	86	79	human	human	ADJ
educationr-3693	86	80	side	side	NOUN
educationr-3693	86	81	of	of	ADP
educationr-3693	86	82	math	math	NOUN
educationr-3693	86	83	’s	’s	PART
educationr-3693	86	84	personality	personality	NOUN
educationr-3693	86	85	by	by	ADP
educationr-3693	86	86	looking	look	VERB
educationr-3693	86	87	toward	toward	ADP
educationr-3693	86	88	some	some	PRON
educationr-3693	86	89	of	of	ADP
educationr-3693	86	90	her	her	PRON
educationr-3693	86	91	most	most	ADV
educationr-3693	86	92	famous	famous	ADJ
educationr-3693	86	93	suitors	suitor	NOUN
educationr-3693	86	94	”	"	PUNCT
educationr-3693	86	95	(	(	PUNCT
educationr-3693	86	96	p.	p.	NOUN
educationr-3693	86	97	57	57	NUM
educationr-3693	86	98	)	)	PUNCT
educationr-3693	86	99	.	.	PUNCT
educationr-3693	87	1	writing	write	VERB
educationr-3693	87	2	about	about	ADP
educationr-3693	87	3	the	the	DET
educationr-3693	87	4	history	history	NOUN
educationr-3693	87	5	and	and	CCONJ
educationr-3693	87	6	development	development	NOUN
educationr-3693	87	7	of	of	ADP
educationr-3693	87	8	any	any	DET
educationr-3693	87	9	mathematical	mathematical	ADJ
educationr-3693	87	10	topic	topic	NOUN
educationr-3693	87	11	can	can	AUX
educationr-3693	87	12	be	be	AUX
educationr-3693	87	13	a	a	DET
educationr-3693	87	14	daunting	daunting	ADJ
educationr-3693	87	15	endeavor	endeavor	NOUN
educationr-3693	87	16	.	.	PUNCT
educationr-3693	88	1	the	the	DET
educationr-3693	88	2	term	term	NOUN
educationr-3693	88	3	“	"	PUNCT
educationr-3693	88	4	math	math	NOUN
educationr-3693	88	5	”	"	PUNCT
educationr-3693	88	6	is	be	AUX
educationr-3693	88	7	often	often	ADV
educationr-3693	88	8	modified	modify	VERB
educationr-3693	88	9	as	as	ADP
educationr-3693	88	10	“	"	PUNCT
educationr-3693	88	11	school	school	NOUN
educationr-3693	88	12	math	math	NOUN
educationr-3693	88	13	,	,	PUNCT
educationr-3693	88	14	”	"	PUNCT
educationr-3693	88	15	considered	consider	VERB
educationr-3693	88	16	a	a	DET
educationr-3693	88	17	separate	separate	ADJ
educationr-3693	88	18	subject	subject	NOUN
educationr-3693	88	19	from	from	ADP
educationr-3693	88	20	higher	high	ADJ
educationr-3693	88	21	level	level	NOUN
educationr-3693	88	22	mathematics	mathematic	NOUN
educationr-3693	88	23	(	(	PUNCT
educationr-3693	88	24	gold	gold	NOUN
educationr-3693	88	25	,	,	PUNCT
educationr-3693	88	26	2017	2017	NUM
educationr-3693	88	27	)	)	PUNCT
educationr-3693	88	28	.	.	PUNCT
educationr-3693	89	1	in	in	ADP
educationr-3693	89	2	fact	fact	NOUN
educationr-3693	89	3	,	,	PUNCT
educationr-3693	89	4	even	even	ADV
educationr-3693	89	5	at	at	ADP
educationr-3693	89	6	the	the	DET
educationr-3693	89	7	research	research	NOUN
educationr-3693	89	8	level	level	NOUN
educationr-3693	89	9	,	,	PUNCT
educationr-3693	89	10	there	there	PRON
educationr-3693	89	11	is	be	VERB
educationr-3693	89	12	still	still	ADV
educationr-3693	89	13	differentiation	differentiation	NOUN
educationr-3693	89	14	among	among	ADP
educationr-3693	89	15	the	the	DET
educationr-3693	89	16	highest	high	ADJ
educationr-3693	89	17	levels	level	NOUN
educationr-3693	89	18	of	of	ADP
educationr-3693	89	19	mathematical	mathematical	ADJ
educationr-3693	89	20	creativity	creativity	NOUN
educationr-3693	89	21	(	(	PUNCT
educationr-3693	89	22	zalamea	zalamea	ADJ
educationr-3693	89	23	,	,	PUNCT
educationr-3693	89	24	2019	2019	NUM
educationr-3693	89	25	)	)	PUNCT
educationr-3693	89	26	.	.	PUNCT
educationr-3693	90	1	mathematics	mathematic	NOUN
educationr-3693	90	2	concepts	concept	NOUN
educationr-3693	90	3	tend	tend	VERB
educationr-3693	90	4	with	with	ADP
educationr-3693	90	5	time	time	NOUN
educationr-3693	90	6	to	to	PART
educationr-3693	90	7	descend	descend	VERB
educationr-3693	90	8	through	through	ADP
educationr-3693	90	9	the	the	DET
educationr-3693	90	10	hierarchy	hierarchy	NOUN
educationr-3693	90	11	.	.	PUNCT
educationr-3693	91	1	a	a	DET
educationr-3693	91	2	prime	prime	ADJ
educationr-3693	91	3	example	example	NOUN
educationr-3693	91	4	of	of	ADP
educationr-3693	91	5	this	this	DET
educationr-3693	91	6	descent	descent	NOUN
educationr-3693	91	7	is	be	AUX
educationr-3693	91	8	the	the	DET
educationr-3693	91	9	calculus	calculus	NOUN
educationr-3693	91	10	notatation	notatation	NOUN
educationr-3693	91	11	introduced	introduce	VERB
educationr-3693	91	12	by	by	ADP
educationr-3693	91	13	gottfried	gottfried	PROPN
educationr-3693	91	14	leibniz	leibniz	PROPN
educationr-3693	91	15	in	in	ADP
educationr-3693	91	16	a	a	DET
educationr-3693	91	17	scientific	scientific	ADJ
educationr-3693	91	18	journal	journal	NOUN
educationr-3693	91	19	in	in	ADP
educationr-3693	91	20	1682	1682	NUM
educationr-3693	91	21	.	.	PUNCT
educationr-3693	92	1	that	that	DET
educationr-3693	92	2	notation	notation	NOUN
educationr-3693	92	3	is	be	AUX
educationr-3693	92	4	now	now	ADV
educationr-3693	92	5	routinely	routinely	ADV
educationr-3693	92	6	used	use	VERB
educationr-3693	92	7	in	in	ADP
educationr-3693	92	8	high	high	ADJ
educationr-3693	92	9	school	school	NOUN
educationr-3693	92	10	introductory	introductory	NOUN
educationr-3693	92	11	calculus	calculus	NOUN
educationr-3693	92	12	courses	course	NOUN
educationr-3693	92	13	(	(	PUNCT
educationr-3693	92	14	antognazza	antognazza	NOUN
educationr-3693	92	15	,	,	PUNCT
educationr-3693	92	16	2011	2011	NUM
educationr-3693	92	17	)	)	PUNCT
educationr-3693	92	18	.	.	PUNCT
educationr-3693	93	1	in	in	ADP
educationr-3693	93	2	this	this	DET
educationr-3693	93	3	sense	sense	NOUN
educationr-3693	93	4	,	,	PUNCT
educationr-3693	93	5	“	"	PUNCT
educationr-3693	93	6	mathematics	mathematic	NOUN
educationr-3693	93	7	”	"	PUNCT
educationr-3693	93	8	can	can	AUX
educationr-3693	93	9	eventually	eventually	ADV
educationr-3693	93	10	become	become	VERB
educationr-3693	93	11	“	"	PUNCT
educationr-3693	93	12	math	math	NOUN
educationr-3693	93	13	.	.	PUNCT
educationr-3693	93	14	”	"	PUNCT
educationr-3693	94	1	education	education	NOUN
educationr-3693	94	2	review	review	NOUN
educationr-3693	94	3	/reseñas	/reseñas	SYM
educationr-3693	94	4	educativas	educativas	PROPN
educationr-3693	94	5	/	/	SYM
educationr-3693	94	6	resenhas	resenhas	PROPN
educationr-3693	94	7	educativas	educativas	PROPN
educationr-3693	94	8	6	6	NUM
educationr-3693	94	9	wagner	wagner	PROPN
educationr-3693	94	10	and	and	CCONJ
educationr-3693	94	11	fair	fair	ADJ
educationr-3693	94	12	understand	understand	VERB
educationr-3693	94	13	that	that	SCONJ
educationr-3693	94	14	from	from	ADP
educationr-3693	94	15	a	a	DET
educationr-3693	94	16	philosophical	philosophical	ADJ
educationr-3693	94	17	point	point	NOUN
educationr-3693	94	18	of	of	ADP
educationr-3693	94	19	view	view	NOUN
educationr-3693	94	20	,	,	PUNCT
educationr-3693	94	21	simply	simply	ADV
educationr-3693	94	22	recounting	recount	VERB
educationr-3693	94	23	facts	fact	NOUN
educationr-3693	94	24	of	of	ADP
educationr-3693	94	25	the	the	DET
educationr-3693	94	26	discipline	discipline	NOUN
educationr-3693	94	27	’s	’s	PART
educationr-3693	94	28	development	development	NOUN
educationr-3693	94	29	is	be	AUX
educationr-3693	94	30	not	not	PART
educationr-3693	94	31	enough	enough	ADJ
educationr-3693	94	32	.	.	PUNCT
educationr-3693	95	1	in	in	ADP
educationr-3693	95	2	his	his	PRON
educationr-3693	95	3	essay	essay	NOUN
educationr-3693	95	4	on	on	ADP
educationr-3693	95	5	the	the	DET
educationr-3693	95	6	origin	origin	NOUN
educationr-3693	95	7	of	of	ADP
educationr-3693	95	8	geometry	geometry	NOUN
educationr-3693	95	9	,	,	PUNCT
educationr-3693	95	10	by	by	ADP
educationr-3693	95	11	which	which	PRON
educationr-3693	95	12	he	he	PRON
educationr-3693	95	13	meant	mean	VERB
educationr-3693	95	14	all	all	DET
educationr-3693	95	15	disciplines	discipline	NOUN
educationr-3693	95	16	that	that	PRON
educationr-3693	95	17	deal	deal	VERB
educationr-3693	95	18	with	with	ADP
educationr-3693	95	19	shapes	shape	NOUN
educationr-3693	95	20	existing	exist	VERB
educationr-3693	95	21	mathematically	mathematically	ADV
educationr-3693	95	22	in	in	ADP
educationr-3693	95	23	pure	pure	ADJ
educationr-3693	95	24	space	space	NOUN
educationr-3693	95	25	-	-	PUNCT
educationr-3693	95	26	time	time	NOUN
educationr-3693	95	27	,	,	PUNCT
educationr-3693	95	28	edmund	edmund	PROPN
educationr-3693	95	29	husserl	husserl	PROPN
educationr-3693	95	30	wrote	write	VERB
educationr-3693	95	31	:	:	PUNCT
educationr-3693	95	32	“	"	PUNCT
educationr-3693	95	33	…	…	PUNCT
educationr-3693	95	34	to	to	PART
educationr-3693	95	35	cling	cling	VERB
educationr-3693	95	36	to	to	ADP
educationr-3693	95	37	this	this	DET
educationr-3693	95	38	merely	merely	ADV
educationr-3693	95	39	historically	historically	ADV
educationr-3693	95	40	factual	factual	ADJ
educationr-3693	95	41	aspect	aspect	NOUN
educationr-3693	95	42	of	of	ADP
educationr-3693	95	43	mathematics	mathematic	NOUN
educationr-3693	95	44	is	be	AUX
educationr-3693	95	45	precisely	precisely	ADV
educationr-3693	95	46	to	to	PART
educationr-3693	95	47	lose	lose	VERB
educationr-3693	95	48	oneself	oneself	PRON
educationr-3693	95	49	to	to	ADP
educationr-3693	95	50	a	a	DET
educationr-3693	95	51	sort	sort	NOUN
educationr-3693	95	52	of	of	ADP
educationr-3693	95	53	romanticism	romanticism	NOUN
educationr-3693	95	54	and	and	CCONJ
educationr-3693	95	55	to	to	PART
educationr-3693	95	56	overlook	overlook	VERB
educationr-3693	95	57	the	the	DET
educationr-3693	95	58	genuine	genuine	ADJ
educationr-3693	95	59	problem	problem	NOUN
educationr-3693	95	60	,	,	PUNCT
educationr-3693	95	61	the	the	DET
educationr-3693	95	62	internal	internal	ADJ
educationr-3693	95	63	-	-	PUNCT
educationr-3693	95	64	historical	historical	ADJ
educationr-3693	95	65	problem	problem	NOUN
educationr-3693	95	66	,	,	PUNCT
educationr-3693	95	67	the	the	DET
educationr-3693	95	68	epistemological	epistemological	ADJ
educationr-3693	95	69	problem	problem	NOUN
educationr-3693	95	70	”	"	PUNCT
educationr-3693	95	71	(	(	PUNCT
educationr-3693	95	72	husserl	husserl	NOUN
educationr-3693	95	73	,	,	PUNCT
educationr-3693	95	74	1978	1978	NUM
educationr-3693	95	75	)	)	PUNCT
educationr-3693	95	76	.	.	PUNCT
educationr-3693	96	1	wagner	wagner	PROPN
educationr-3693	96	2	and	and	CCONJ
educationr-3693	96	3	fair	fair	ADJ
educationr-3693	96	4	have	have	AUX
educationr-3693	96	5	taken	take	VERB
educationr-3693	96	6	on	on	ADP
educationr-3693	96	7	the	the	DET
educationr-3693	96	8	task	task	NOUN
educationr-3693	96	9	of	of	ADP
educationr-3693	96	10	finding	find	VERB
educationr-3693	96	11	an	an	DET
educationr-3693	96	12	internal	internal	ADJ
educationr-3693	96	13	story	story	NOUN
educationr-3693	96	14	that	that	PRON
educationr-3693	96	15	runs	run	VERB
educationr-3693	96	16	through	through	ADP
educationr-3693	96	17	the	the	DET
educationr-3693	96	18	historical	historical	ADJ
educationr-3693	96	19	facts	fact	NOUN
educationr-3693	96	20	of	of	ADP
educationr-3693	96	21	mathematics	mathematic	NOUN
educationr-3693	96	22	,	,	PUNCT
educationr-3693	96	23	and	and	CCONJ
educationr-3693	96	24	they	they	PRON
educationr-3693	96	25	present	present	VERB
educationr-3693	96	26	this	this	DET
educationr-3693	96	27	story	story	NOUN
educationr-3693	96	28	based	base	VERB
educationr-3693	96	29	on	on	ADP
educationr-3693	96	30	character	character	NOUN
educationr-3693	96	31	traits	trait	NOUN
educationr-3693	96	32	selected	select	VERB
educationr-3693	96	33	from	from	ADP
educationr-3693	96	34	more	more	ADJ
educationr-3693	96	35	than	than	ADP
educationr-3693	96	36	two	two	NUM
educationr-3693	96	37	dozen	dozen	NOUN
educationr-3693	96	38	mathematical	mathematical	ADJ
educationr-3693	96	39	personages	personage	NOUN
educationr-3693	96	40	ranging	range	VERB
educationr-3693	96	41	from	from	ADP
educationr-3693	96	42	pythagoras	pythagoras	PROPN
educationr-3693	96	43	to	to	ADP
educationr-3693	96	44	gregori	gregori	PROPN
educationr-3693	96	45	perelman	perelman	PROPN
educationr-3693	96	46	.	.	PUNCT
educationr-3693	97	1	their	their	PRON
educationr-3693	97	2	book	book	NOUN
educationr-3693	97	3	interpreted	interpret	VERB
educationr-3693	97	4	as	as	ADP
educationr-3693	97	5	an	an	DET
educationr-3693	97	6	extended	extended	ADJ
educationr-3693	97	7	literary	literary	ADJ
educationr-3693	97	8	gloss	gloss	NOUN
educationr-3693	97	9	on	on	ADP
educationr-3693	97	10	this	this	DET
educationr-3693	97	11	story	story	NOUN
educationr-3693	97	12	might	might	AUX
educationr-3693	97	13	be	be	AUX
educationr-3693	97	14	a	a	DET
educationr-3693	97	15	useful	useful	ADJ
educationr-3693	97	16	addition	addition	NOUN
educationr-3693	97	17	to	to	ADP
educationr-3693	97	18	a	a	DET
educationr-3693	97	19	math	math	NOUN
educationr-3693	97	20	teacher	teacher	NOUN
educationr-3693	97	21	’s	’s	PART
educationr-3693	97	22	library	library	NOUN
educationr-3693	97	23	,	,	PUNCT
educationr-3693	97	24	especially	especially	ADV
educationr-3693	97	25	with	with	ADP
educationr-3693	97	26	the	the	DET
educationr-3693	97	27	detailed	detailed	ADJ
educationr-3693	97	28	bibliography	bibliography	NOUN
educationr-3693	97	29	.	.	PUNCT
educationr-3693	98	1	a	a	DET
educationr-3693	98	2	few	few	ADJ
educationr-3693	98	3	errors	error	NOUN
educationr-3693	98	4	should	should	AUX
educationr-3693	98	5	be	be	AUX
educationr-3693	98	6	corrected	correct	VERB
educationr-3693	98	7	,	,	PUNCT
educationr-3693	98	8	and	and	CCONJ
educationr-3693	98	9	their	their	PRON
educationr-3693	98	10	examples	example	NOUN
educationr-3693	98	11	of	of	ADP
educationr-3693	98	12	“	"	PUNCT
educationr-3693	98	13	threshold	threshold	ADJ
educationr-3693	98	14	”	"	PUNCT
educationr-3693	98	15	conversations	conversation	NOUN
educationr-3693	98	16	could	could	AUX
educationr-3693	98	17	be	be	AUX
educationr-3693	98	18	enhanced	enhance	VERB
educationr-3693	98	19	with	with	ADP
educationr-3693	98	20	a	a	DET
educationr-3693	98	21	more	more	ADV
educationr-3693	98	22	mathematical	mathematical	ADJ
educationr-3693	98	23	treatment	treatment	NOUN
educationr-3693	98	24	.	.	PUNCT
educationr-3693	99	1	a	a	DET
educationr-3693	99	2	useful	useful	ADJ
educationr-3693	99	3	correction	correction	NOUN
educationr-3693	99	4	regarding	regard	VERB
educationr-3693	99	5	“	"	PUNCT
educationr-3693	99	6	fibonacci	fibonacci	NOUN
educationr-3693	99	7	numbers	number	NOUN
educationr-3693	99	8	”	"	PUNCT
educationr-3693	99	9	would	would	AUX
educationr-3693	99	10	follow	follow	VERB
educationr-3693	99	11	from	from	ADP
educationr-3693	99	12	keith	keith	PROPN
educationr-3693	99	13	devlin	devlin	PROPN
educationr-3693	99	14	’s	’s	PART
educationr-3693	99	15	(	(	PUNCT
educationr-3693	99	16	2017	2017	NUM
educationr-3693	99	17	)	)	PUNCT
educationr-3693	99	18	account	account	NOUN
educationr-3693	99	19	of	of	ADP
educationr-3693	99	20	leonardo	leonardo	PROPN
educationr-3693	99	21	of	of	ADP
educationr-3693	99	22	pisa	pisa	PROPN
educationr-3693	99	23	(	(	PUNCT
educationr-3693	99	24	p.	p.	NOUN
educationr-3693	99	25	45	45	NUM
educationr-3693	99	26	)	)	PUNCT
educationr-3693	99	27	.	.	PUNCT
educationr-3693	100	1	devlin	devlin	PROPN
educationr-3693	100	2	shows	show	VERB
educationr-3693	100	3	that	that	SCONJ
educationr-3693	100	4	leonardo	leonardo	PROPN
educationr-3693	100	5	did	do	AUX
educationr-3693	100	6	not	not	PART
educationr-3693	100	7	explore	explore	VERB
educationr-3693	100	8	phyllotaxis	phyllotaxis	NOUN
educationr-3693	100	9	or	or	CCONJ
educationr-3693	100	10	the	the	DET
educationr-3693	100	11	other	other	ADJ
educationr-3693	100	12	applications	application	NOUN
educationr-3693	100	13	of	of	ADP
educationr-3693	100	14	“	"	PUNCT
educationr-3693	100	15	fibonacci	fibonacci	NOUN
educationr-3693	100	16	numbers	number	NOUN
educationr-3693	100	17	”	"	PUNCT
educationr-3693	100	18	attributed	attribute	VERB
educationr-3693	100	19	to	to	ADP
educationr-3693	100	20	him	he	PRON
educationr-3693	100	21	.	.	PUNCT
educationr-3693	101	1	all	all	PRON
educationr-3693	101	2	that	that	PRON
educationr-3693	101	3	came	come	VERB
educationr-3693	101	4	about	about	ADV
educationr-3693	101	5	600	600	NUM
educationr-3693	101	6	years	year	NOUN
educationr-3693	101	7	later	later	ADV
educationr-3693	101	8	,	,	PUNCT
educationr-3693	101	9	in	in	ADP
educationr-3693	101	10	the	the	DET
educationr-3693	101	11	work	work	NOUN
educationr-3693	101	12	of	of	ADP
educationr-3693	101	13	auguste	auguste	PROPN
educationr-3693	101	14	bravais	bravais	PROPN
educationr-3693	101	15	.	.	PUNCT
educationr-3693	102	1	students	student	NOUN
educationr-3693	102	2	and	and	CCONJ
educationr-3693	102	3	teachers	teacher	NOUN
educationr-3693	102	4	should	should	AUX
educationr-3693	102	5	be	be	AUX
educationr-3693	102	6	cautioned	caution	VERB
educationr-3693	102	7	to	to	PART
educationr-3693	102	8	be	be	AUX
educationr-3693	102	9	aware	aware	ADJ
educationr-3693	102	10	of	of	ADP
educationr-3693	102	11	the	the	DET
educationr-3693	102	12	rashomon	rashomon	ADJ
educationr-3693	102	13	effect	effect	NOUN
educationr-3693	102	14	in	in	ADP
educationr-3693	102	15	trying	try	VERB
educationr-3693	102	16	to	to	PART
educationr-3693	102	17	decide	decide	VERB
educationr-3693	102	18	with	with	ADP
educationr-3693	102	19	certainty	certainty	NOUN
educationr-3693	102	20	the	the	DET
educationr-3693	102	21	“	"	PUNCT
educationr-3693	102	22	true	true	ADJ
educationr-3693	102	23	”	"	PUNCT
educationr-3693	102	24	personality	personality	NOUN
educationr-3693	102	25	of	of	ADP
educationr-3693	102	26	an	an	DET
educationr-3693	102	27	individual	individual	NOUN
educationr-3693	102	28	.	.	PUNCT
educationr-3693	103	1	at	at	ADP
educationr-3693	103	2	one	one	NUM
educationr-3693	103	3	point	point	NOUN
educationr-3693	103	4	in	in	ADP
educationr-3693	103	5	this	this	DET
educationr-3693	103	6	book	book	NOUN
educationr-3693	103	7	,	,	PUNCT
educationr-3693	103	8	ada	ada	PROPN
educationr-3693	103	9	lovelace	lovelace	PROPN
educationr-3693	103	10	is	be	AUX
educationr-3693	103	11	described	describe	VERB
educationr-3693	103	12	as	as	ADP
educationr-3693	103	13	“	"	PUNCT
educationr-3693	103	14	no	no	PRON
educationr-3693	103	15	more	more	ADJ
educationr-3693	103	16	than	than	ADP
educationr-3693	103	17	a	a	DET
educationr-3693	103	18	groupie	groupie	NOUN
educationr-3693	103	19	of	of	ADP
educationr-3693	103	20	the	the	DET
educationr-3693	103	21	intellectual	intellectual	ADJ
educationr-3693	103	22	elite	elite	NOUN
educationr-3693	103	23	”	"	PUNCT
educationr-3693	103	24	(	(	PUNCT
educationr-3693	103	25	p.	p.	NOUN
educationr-3693	103	26	57	57	NUM
educationr-3693	103	27	)	)	PUNCT
educationr-3693	103	28	.	.	PUNCT
educationr-3693	104	1	elsewhere	elsewhere	ADV
educationr-3693	104	2	we	we	PRON
educationr-3693	104	3	read	read	VERB
educationr-3693	104	4	“	"	PUNCT
educationr-3693	104	5	her	her	PRON
educationr-3693	104	6	love	love	NOUN
educationr-3693	104	7	of	of	ADP
educationr-3693	104	8	math	math	NOUN
educationr-3693	104	9	stayed	stay	VERB
educationr-3693	104	10	with	with	ADP
educationr-3693	104	11	her	she	PRON
educationr-3693	104	12	until	until	ADP
educationr-3693	104	13	the	the	DET
educationr-3693	104	14	end	end	NOUN
educationr-3693	104	15	of	of	ADP
educationr-3693	104	16	her	her	PRON
educationr-3693	104	17	days	day	NOUN
educationr-3693	104	18	”	"	PUNCT
educationr-3693	105	1	(	(	PUNCT
educationr-3693	105	2	p.	p.	NOUN
educationr-3693	105	3	101	101	NUM
educationr-3693	105	4	)	)	PUNCT
educationr-3693	105	5	.	.	PUNCT
educationr-3693	106	1	other	other	ADJ
educationr-3693	106	2	material	material	NOUN
educationr-3693	106	3	from	from	ADP
educationr-3693	106	4	history	history	NOUN
educationr-3693	106	5	needs	need	VERB
educationr-3693	106	6	to	to	PART
educationr-3693	106	7	be	be	AUX
educationr-3693	106	8	amplified	amplify	VERB
educationr-3693	106	9	,	,	PUNCT
educationr-3693	106	10	either	either	CCONJ
educationr-3693	106	11	by	by	ADP
educationr-3693	106	12	looking	look	VERB
educationr-3693	106	13	up	up	ADP
educationr-3693	106	14	references	reference	NOUN
educationr-3693	106	15	in	in	ADP
educationr-3693	106	16	the	the	DET
educationr-3693	106	17	bibliography	bibliography	NOUN
educationr-3693	106	18	or	or	CCONJ
educationr-3693	106	19	finding	find	VERB
educationr-3693	106	20	legitimate	legitimate	ADJ
educationr-3693	106	21	information	information	NOUN
educationr-3693	106	22	through	through	ADP
educationr-3693	106	23	intelligent	intelligent	ADJ
educationr-3693	106	24	internet	internet	NOUN
educationr-3693	106	25	searches	search	NOUN
educationr-3693	106	26	.	.	PUNCT
educationr-3693	107	1	there	there	PRON
educationr-3693	107	2	is	be	VERB
educationr-3693	107	3	also	also	ADV
educationr-3693	107	4	the	the	DET
educationr-3693	107	5	danger	danger	NOUN
educationr-3693	107	6	that	that	PRON
educationr-3693	107	7	famous	famous	ADJ
educationr-3693	107	8	“	"	PUNCT
educationr-3693	107	9	thought	think	VERB
educationr-3693	107	10	experiments	experiment	NOUN
educationr-3693	107	11	”	"	PUNCT
educationr-3693	107	12	often	often	ADV
educationr-3693	107	13	make	make	VERB
educationr-3693	107	14	more	more	ADJ
educationr-3693	107	15	sense	sense	NOUN
educationr-3693	107	16	to	to	ADP
educationr-3693	107	17	experts	expert	NOUN
educationr-3693	107	18	who	who	PRON
educationr-3693	107	19	already	already	ADV
educationr-3693	107	20	know	know	VERB
educationr-3693	107	21	something	something	PRON
educationr-3693	107	22	about	about	ADP
educationr-3693	107	23	the	the	DET
educationr-3693	107	24	context	context	NOUN
educationr-3693	107	25	of	of	ADP
educationr-3693	107	26	the	the	DET
educationr-3693	107	27	story	story	NOUN
educationr-3693	107	28	than	than	ADP
educationr-3693	107	29	to	to	ADP
educationr-3693	107	30	beginners	beginner	NOUN
educationr-3693	107	31	or	or	CCONJ
educationr-3693	107	32	outsiders	outsider	NOUN
educationr-3693	107	33	.	.	PUNCT
educationr-3693	108	1	upon	upon	SCONJ
educationr-3693	108	2	hearing	hear	VERB
educationr-3693	108	3	that	that	SCONJ
educationr-3693	108	4	achilles	achille	NOUN
educationr-3693	108	5	ca	can	AUX
educationr-3693	108	6	n’t	not	PART
educationr-3693	108	7	catch	catch	VERB
educationr-3693	108	8	the	the	DET
educationr-3693	108	9	tortoise	tortoise	NOUN
educationr-3693	108	10	or	or	CCONJ
educationr-3693	108	11	that	that	SCONJ
educationr-3693	108	12	the	the	DET
educationr-3693	108	13	hotel	hotel	NOUN
educationr-3693	108	14	hilbert	hilbert	NOUN
educationr-3693	108	15	can	can	AUX
educationr-3693	108	16	always	always	ADV
educationr-3693	108	17	accept	accept	VERB
educationr-3693	108	18	another	another	DET
educationr-3693	108	19	(	(	PUNCT
educationr-3693	108	20	countable	countable	ADJ
educationr-3693	108	21	)	)	PUNCT
educationr-3693	108	22	infinity	infinity	NOUN
educationr-3693	108	23	of	of	ADP
educationr-3693	108	24	new	new	ADJ
educationr-3693	108	25	guests	guest	NOUN
educationr-3693	108	26	,	,	PUNCT
educationr-3693	108	27	the	the	DET
educationr-3693	108	28	math	math	NOUN
educationr-3693	108	29	novice	novice	NOUN
educationr-3693	108	30	may	may	AUX
educationr-3693	108	31	well	well	ADV
educationr-3693	108	32	form	form	VERB
educationr-3693	108	33	a	a	DET
educationr-3693	108	34	deflationary	deflationary	ADJ
educationr-3693	108	35	reduction	reduction	NOUN
educationr-3693	108	36	of	of	ADP
educationr-3693	108	37	the	the	DET
educationr-3693	108	38	story	story	NOUN
educationr-3693	108	39	.	.	PUNCT
educationr-3693	109	1	typical	typical	ADJ
educationr-3693	109	2	presentations	presentation	NOUN
educationr-3693	109	3	of	of	ADP
educationr-3693	109	4	the	the	DET
educationr-3693	109	5	infinite	infinite	ADJ
educationr-3693	109	6	hotel	hotel	NOUN
educationr-3693	109	7	,	,	PUNCT
educationr-3693	109	8	in	in	ADP
educationr-3693	109	9	particular	particular	ADJ
educationr-3693	109	10	,	,	PUNCT
educationr-3693	109	11	could	could	AUX
educationr-3693	109	12	lead	lead	VERB
educationr-3693	109	13	children	child	NOUN
educationr-3693	109	14	to	to	PART
educationr-3693	109	15	imagine	imagine	VERB
educationr-3693	109	16	david	david	PROPN
educationr-3693	109	17	hilbert	hilbert	PROPN
educationr-3693	109	18	as	as	ADP
educationr-3693	109	19	a	a	DET
educationr-3693	109	20	sort	sort	NOUN
educationr-3693	109	21	of	of	ADP
educationr-3693	109	22	hans	hans	PROPN
educationr-3693	109	23	christian	christian	PROPN
educationr-3693	109	24	anderson	anderson	PROPN
educationr-3693	109	25	for	for	ADP
educationr-3693	109	26	mathematics	mathematic	NOUN
educationr-3693	109	27	whose	whose	DET
educationr-3693	109	28	fame	fame	NOUN
educationr-3693	109	29	rests	rest	VERB
educationr-3693	109	30	on	on	ADP
educationr-3693	109	31	his	his	PRON
educationr-3693	109	32	parables	parable	NOUN
educationr-3693	109	33	:	:	PUNCT
educationr-3693	109	34	see	see	VERB
educationr-3693	109	35	the	the	DET
educationr-3693	109	36	paper	paper	NOUN
educationr-3693	109	37	by	by	ADP
educationr-3693	109	38	helge	helge	PROPN
educationr-3693	109	39	kragh	kragh	PROPN
educationr-3693	109	40	(	(	PUNCT
educationr-3693	109	41	2014	2014	NUM
educationr-3693	109	42	)	)	PUNCT
educationr-3693	109	43	,	,	PUNCT
educationr-3693	109	44	“	"	PUNCT
educationr-3693	109	45	the	the	DET
educationr-3693	109	46	true	true	ADJ
educationr-3693	109	47	(	(	PUNCT
educationr-3693	109	48	?	?	NUM
educationr-3693	109	49	)	)	PUNCT
educationr-3693	109	50	story	story	NOUN
educationr-3693	109	51	of	of	ADP
educationr-3693	109	52	hilbert	hilbert	PROPN
educationr-3693	109	53	’s	’s	PART
educationr-3693	109	54	infinite	infinite	ADJ
educationr-3693	109	55	hotel	hotel	NOUN
educationr-3693	109	56	.	.	PUNCT
educationr-3693	109	57	”	"	PUNCT
educationr-3693	110	1	zeno	zeno	PROPN
educationr-3693	110	2	’s	’s	PART
educationr-3693	110	3	paradoxes	paradox	NOUN
educationr-3693	110	4	,	,	PUNCT
educationr-3693	110	5	as	as	SCONJ
educationr-3693	110	6	interpreted	interpret	VERB
educationr-3693	110	7	by	by	ADP
educationr-3693	110	8	socrates	socrate	NOUN
educationr-3693	110	9	,	,	PUNCT
educationr-3693	110	10	may	may	AUX
educationr-3693	110	11	have	have	AUX
educationr-3693	110	12	been	be	AUX
educationr-3693	110	13	intended	intend	VERB
educationr-3693	110	14	as	as	ADP
educationr-3693	110	15	parody	parody	NOUN
educationr-3693	110	16	.	.	PUNCT
educationr-3693	111	1	these	these	DET
educationr-3693	111	2	examples	example	NOUN
educationr-3693	111	3	require	require	VERB
educationr-3693	111	4	additional	additional	ADJ
educationr-3693	111	5	reading	reading	NOUN
educationr-3693	111	6	from	from	ADP
educationr-3693	111	7	the	the	DET
educationr-3693	111	8	choices	choice	NOUN
educationr-3693	111	9	listed	list	VERB
educationr-3693	111	10	in	in	ADP
educationr-3693	111	11	the	the	DET
educationr-3693	111	12	bibliography	bibliography	NOUN
educationr-3693	111	13	.	.	PUNCT
educationr-3693	112	1	it	it	PRON
educationr-3693	112	2	would	would	AUX
educationr-3693	112	3	be	be	AUX
educationr-3693	112	4	helpful	helpful	ADJ
educationr-3693	112	5	to	to	PART
educationr-3693	112	6	know	know	VERB
educationr-3693	112	7	if	if	SCONJ
educationr-3693	112	8	the	the	DET
educationr-3693	112	9	imagined	imagined	ADJ
educationr-3693	112	10	conversation	conversation	NOUN
educationr-3693	112	11	between	between	ADP
educationr-3693	112	12	student	student	NOUN
educationr-3693	112	13	and	and	CCONJ
educationr-3693	112	14	teacher	teacher	NOUN
educationr-3693	112	15	would	would	AUX
educationr-3693	112	16	be	be	AUX
educationr-3693	112	17	left	leave	VERB
educationr-3693	112	18	with	with	ADP
educationr-3693	112	19	the	the	DET
educationr-3693	112	20	conclusion	conclusion	NOUN
educationr-3693	112	21	that	that	SCONJ
educationr-3693	112	22	an	an	DET
educationr-3693	112	23	infinite	infinite	ADJ
educationr-3693	112	24	collection	collection	NOUN
educationr-3693	112	25	of	of	ADP
educationr-3693	112	26	universes	universe	NOUN
educationr-3693	112	27	must	must	AUX
educationr-3693	112	28	contain	contain	VERB
educationr-3693	112	29	identical	identical	ADJ
educationr-3693	112	30	universes	universe	NOUN
educationr-3693	112	31	.	.	PUNCT
educationr-3693	113	1	(	(	PUNCT
educationr-3693	113	2	p.	p.	NOUN
educationr-3693	113	3	15	15	NUM
educationr-3693	113	4	)	)	PUNCT
educationr-3693	113	5	review	review	NOUN
educationr-3693	113	6	of	of	ADP
educationr-3693	113	7	the	the	DET
educationr-3693	113	8	personality	personality	NOUN
educationr-3693	113	9	of	of	ADP
educationr-3693	113	10	math	math	NOUN
educationr-3693	113	11	7	7	NUM
educationr-3693	113	12	although	although	SCONJ
educationr-3693	113	13	the	the	DET
educationr-3693	113	14	book	book	NOUN
educationr-3693	113	15	is	be	AUX
educationr-3693	113	16	not	not	PART
educationr-3693	113	17	intended	intend	VERB
educationr-3693	113	18	as	as	ADP
educationr-3693	113	19	a	a	DET
educationr-3693	113	20	mathematics	mathematics	NOUN
educationr-3693	113	21	text	text	NOUN
educationr-3693	113	22	,	,	PUNCT
educationr-3693	113	23	some	some	DET
educationr-3693	113	24	examples	example	NOUN
educationr-3693	113	25	of	of	ADP
educationr-3693	113	26	“	"	PUNCT
educationr-3693	113	27	mathematical	mathematical	ADJ
educationr-3693	113	28	thinking	thinking	NOUN
educationr-3693	113	29	”	"	PUNCT
educationr-3693	113	30	could	could	AUX
educationr-3693	113	31	be	be	AUX
educationr-3693	113	32	improved	improve	VERB
educationr-3693	113	33	.	.	PUNCT
educationr-3693	114	1	for	for	ADP
educationr-3693	114	2	example	example	NOUN
educationr-3693	114	3	,	,	PUNCT
educationr-3693	114	4	the	the	DET
educationr-3693	114	5	example	example	NOUN
educationr-3693	114	6	of	of	ADP
educationr-3693	114	7	finding	find	VERB
educationr-3693	114	8	an	an	DET
educationr-3693	114	9	approximation	approximation	NOUN
educationr-3693	114	10	to	to	ADP
educationr-3693	114	11	the	the	DET
educationr-3693	114	12	square	square	ADJ
educationr-3693	114	13	root	root	NOUN
educationr-3693	114	14	of	of	ADP
educationr-3693	114	15	2	2	NUM
educationr-3693	114	16	by	by	ADP
educationr-3693	114	17	using	use	VERB
educationr-3693	114	18	decimals—1.41	decimals—1.41	PROPN
educationr-3693	114	19	and	and	CCONJ
educationr-3693	114	20	1.42	1.42	NUM
educationr-3693	114	21	—	—	PUNCT
educationr-3693	114	22	would	would	AUX
educationr-3693	114	23	benefit	benefit	VERB
educationr-3693	114	24	from	from	ADP
educationr-3693	114	25	starting	start	VERB
educationr-3693	114	26	with	with	ADP
educationr-3693	114	27	some	some	DET
educationr-3693	114	28	fractions	fraction	NOUN
educationr-3693	114	29	,	,	PUNCT
educationr-3693	114	30	such	such	ADJ
educationr-3693	114	31	as	as	ADP
educationr-3693	114	32	3/2	3/2	NUM
educationr-3693	114	33	,	,	PUNCT
educationr-3693	114	34	7/5	7/5	NUM
educationr-3693	114	35	,	,	PUNCT
educationr-3693	114	36	and	and	CCONJ
educationr-3693	114	37	17/12	17/12	NUM
educationr-3693	114	38	.	.	PUNCT
educationr-3693	115	1	the	the	DET
educationr-3693	115	2	student	student	NOUN
educationr-3693	115	3	could	could	AUX
educationr-3693	115	4	see	see	VERB
educationr-3693	115	5	the	the	DET
educationr-3693	115	6	squares	square	NOUN
educationr-3693	115	7	of	of	ADP
educationr-3693	115	8	these	these	DET
educationr-3693	115	9	values	value	NOUN
educationr-3693	115	10	are	be	AUX
educationr-3693	115	11	getting	get	VERB
educationr-3693	115	12	closer	close	ADJ
educationr-3693	115	13	to	to	ADP
educationr-3693	115	14	2	2	NUM
educationr-3693	115	15	,	,	PUNCT
educationr-3693	115	16	and	and	CCONJ
educationr-3693	115	17	with	with	ADP
educationr-3693	115	18	some	some	DET
educationr-3693	115	19	work	work	NOUN
educationr-3693	115	20	even	even	ADV
educationr-3693	115	21	find	find	VERB
educationr-3693	115	22	a	a	DET
educationr-3693	115	23	pattern	pattern	NOUN
educationr-3693	115	24	for	for	ADP
educationr-3693	115	25	continuing	continue	VERB
educationr-3693	115	26	the	the	DET
educationr-3693	115	27	sequence	sequence	NOUN
educationr-3693	115	28	.	.	PUNCT
educationr-3693	116	1	at	at	ADP
educationr-3693	116	2	the	the	DET
educationr-3693	116	3	same	same	ADJ
educationr-3693	116	4	time	time	NOUN
educationr-3693	116	5	,	,	PUNCT
educationr-3693	116	6	the	the	DET
educationr-3693	116	7	fact	fact	NOUN
educationr-3693	116	8	that	that	SCONJ
educationr-3693	116	9	these	these	DET
educationr-3693	116	10	ratios	ratio	NOUN
educationr-3693	116	11	are	be	AUX
educationr-3693	116	12	not	not	PART
educationr-3693	116	13	exactly	exactly	ADV
educationr-3693	116	14	2	2	NUM
educationr-3693	116	15	would	would	AUX
educationr-3693	116	16	help	help	VERB
educationr-3693	116	17	the	the	DET
educationr-3693	116	18	student	student	NOUN
educationr-3693	116	19	understand	understand	VERB
educationr-3693	116	20	how	how	SCONJ
educationr-3693	116	21	“	"	PUNCT
educationr-3693	116	22	not	not	PART
educationr-3693	116	23	a	a	DET
educationr-3693	116	24	ratio	ratio	NOUN
educationr-3693	116	25	”	"	PUNCT
educationr-3693	116	26	became	become	VERB
educationr-3693	116	27	“	"	PUNCT
educationr-3693	116	28	irrational”—a	irrational”—a	NOUN
educationr-3693	116	29	word	word	NOUN
educationr-3693	116	30	that	that	SCONJ
educationr-3693	116	31	most	most	ADJ
educationr-3693	116	32	people	people	NOUN
educationr-3693	116	33	think	think	VERB
educationr-3693	116	34	of	of	ADP
educationr-3693	116	35	in	in	ADP
educationr-3693	116	36	terms	term	NOUN
educationr-3693	116	37	of	of	ADP
educationr-3693	116	38	crazy	crazy	ADJ
educationr-3693	116	39	behavior	behavior	NOUN
educationr-3693	116	40	.	.	PUNCT
educationr-3693	117	1	the	the	DET
educationr-3693	117	2	discussion	discussion	NOUN
educationr-3693	117	3	of	of	ADP
educationr-3693	117	4	zero	zero	NUM
educationr-3693	117	5	in	in	ADP
educationr-3693	117	6	the	the	DET
educationr-3693	117	7	book	book	NOUN
educationr-3693	117	8	may	may	AUX
educationr-3693	117	9	illustrate	illustrate	VERB
educationr-3693	117	10	in	in	ADP
educationr-3693	117	11	a	a	DET
educationr-3693	117	12	vague	vague	ADJ
educationr-3693	117	13	way	way	NOUN
educationr-3693	117	14	the	the	DET
educationr-3693	117	15	reluctance	reluctance	NOUN
educationr-3693	117	16	of	of	ADP
educationr-3693	117	17	early	early	ADJ
educationr-3693	117	18	arithmeticians	arithmetician	NOUN
educationr-3693	117	19	to	to	PART
educationr-3693	117	20	consider	consider	VERB
educationr-3693	117	21	zero	zero	NUM
educationr-3693	117	22	as	as	ADP
educationr-3693	117	23	a	a	DET
educationr-3693	117	24	number	number	NOUN
educationr-3693	117	25	.	.	PUNCT
educationr-3693	118	1	a	a	DET
educationr-3693	118	2	simple	simple	ADJ
educationr-3693	118	3	explanation	explanation	NOUN
educationr-3693	118	4	by	by	ADP
educationr-3693	118	5	an	an	DET
educationr-3693	118	6	elementary	elementary	ADJ
educationr-3693	118	7	teacher	teacher	NOUN
educationr-3693	118	8	using	use	VERB
educationr-3693	118	9	the	the	DET
educationr-3693	118	10	numbers	number	NOUN
educationr-3693	118	11	11	11	NUM
educationr-3693	118	12	and	and	CCONJ
educationr-3693	118	13	101	101	NUM
educationr-3693	118	14	shows	show	VERB
educationr-3693	118	15	clearly	clearly	ADV
educationr-3693	118	16	that	that	SCONJ
educationr-3693	118	17	there	there	PRON
educationr-3693	118	18	is	be	VERB
educationr-3693	118	19	“	"	PUNCT
educationr-3693	118	20	nothing	nothing	PRON
educationr-3693	118	21	”	"	PUNCT
educationr-3693	118	22	between	between	ADP
educationr-3693	118	23	the	the	DET
educationr-3693	118	24	1s	1	NOUN
educationr-3693	118	25	in	in	ADP
educationr-3693	118	26	the	the	DET
educationr-3693	118	27	first	first	ADJ
educationr-3693	118	28	number	number	NOUN
educationr-3693	118	29	and	and	CCONJ
educationr-3693	118	30	“	"	PUNCT
educationr-3693	118	31	zero	zero	NUM
educationr-3693	118	32	”	"	PUNCT
educationr-3693	118	33	between	between	ADP
educationr-3693	118	34	the	the	DET
educationr-3693	118	35	1s	1	NOUN
educationr-3693	118	36	in	in	ADP
educationr-3693	118	37	the	the	DET
educationr-3693	118	38	second	second	NOUN
educationr-3693	118	39	.	.	PUNCT
educationr-3693	119	1	this	this	DET
educationr-3693	119	2	concise	concise	ADJ
educationr-3693	119	3	example	example	NOUN
educationr-3693	119	4	also	also	ADV
educationr-3693	119	5	can	can	AUX
educationr-3693	119	6	lead	lead	VERB
educationr-3693	119	7	to	to	ADP
educationr-3693	119	8	an	an	DET
educationr-3693	119	9	understanding	understanding	NOUN
educationr-3693	119	10	that	that	PRON
educationr-3693	119	11	zero	zero	NUM
educationr-3693	119	12	is	be	AUX
educationr-3693	119	13	used	use	VERB
educationr-3693	119	14	to	to	PART
educationr-3693	119	15	establish	establish	VERB
educationr-3693	119	16	our	our	PRON
educationr-3693	119	17	system	system	NOUN
educationr-3693	119	18	as	as	ADP
educationr-3693	119	19	not	not	PART
educationr-3693	119	20	only	only	ADV
educationr-3693	119	21	a	a	DET
educationr-3693	119	22	base	base	ADJ
educationr-3693	119	23	ten	ten	NUM
educationr-3693	119	24	system	system	NOUN
educationr-3693	119	25	,	,	PUNCT
educationr-3693	119	26	but	but	CCONJ
educationr-3693	119	27	a	a	DET
educationr-3693	119	28	place	place	NOUN
educationr-3693	119	29	value	value	NOUN
educationr-3693	119	30	system	system	NOUN
educationr-3693	119	31	as	as	ADV
educationr-3693	119	32	well	well	ADV
educationr-3693	119	33	.	.	PUNCT
educationr-3693	120	1	the	the	DET
educationr-3693	120	2	unique	unique	ADJ
educationr-3693	120	3	properties	property	NOUN
educationr-3693	120	4	of	of	ADP
educationr-3693	120	5	zero	zero	NUM
educationr-3693	120	6	discussed	discuss	VERB
educationr-3693	120	7	on	on	ADP
educationr-3693	120	8	page	page	NOUN
educationr-3693	120	9	88	88	NUM
educationr-3693	120	10	do	do	AUX
educationr-3693	120	11	show	show	VERB
educationr-3693	120	12	that	that	SCONJ
educationr-3693	120	13	zero	zero	NUM
educationr-3693	120	14	has	have	VERB
educationr-3693	120	15	its	its	PRON
educationr-3693	120	16	own	own	ADJ
educationr-3693	120	17	identity	identity	NOUN
educationr-3693	120	18	,	,	PUNCT
educationr-3693	120	19	in	in	ADP
educationr-3693	120	20	fact	fact	NOUN
educationr-3693	120	21	it	it	PRON
educationr-3693	120	22	is	be	AUX
educationr-3693	120	23	called	call	VERB
educationr-3693	120	24	an	an	DET
educationr-3693	120	25	additive	additive	ADJ
educationr-3693	120	26	identity	identity	NOUN
educationr-3693	120	27	in	in	ADP
educationr-3693	120	28	advanced	advanced	ADJ
educationr-3693	120	29	algebra	algebra	NOUN
educationr-3693	120	30	.	.	PUNCT
educationr-3693	121	1	the	the	DET
educationr-3693	121	2	younger	young	ADJ
educationr-3693	121	3	student	student	NOUN
educationr-3693	121	4	,	,	PUNCT
educationr-3693	121	5	given	give	VERB
educationr-3693	121	6	this	this	DET
educationr-3693	121	7	“	"	PUNCT
educationr-3693	121	8	indoctrination	indoctrination	NOUN
educationr-3693	121	9	”	"	PUNCT
educationr-3693	121	10	fact	fact	NOUN
educationr-3693	121	11	,	,	PUNCT
educationr-3693	121	12	could	could	AUX
educationr-3693	121	13	then	then	ADV
educationr-3693	121	14	be	be	AUX
educationr-3693	121	15	asked	ask	VERB
educationr-3693	121	16	if	if	SCONJ
educationr-3693	121	17	there	there	PRON
educationr-3693	121	18	could	could	AUX
educationr-3693	121	19	be	be	AUX
educationr-3693	121	20	more	more	ADJ
educationr-3693	121	21	than	than	ADP
educationr-3693	121	22	one	one	NUM
educationr-3693	121	23	identity	identity	NOUN
educationr-3693	121	24	in	in	ADP
educationr-3693	121	25	arithmetic	arithmetic	ADJ
educationr-3693	121	26	,	,	PUNCT
educationr-3693	121	27	which	which	PRON
educationr-3693	121	28	could	could	AUX
educationr-3693	121	29	open	open	VERB
educationr-3693	121	30	the	the	DET
educationr-3693	121	31	door	door	NOUN
educationr-3693	121	32	to	to	ADP
educationr-3693	121	33	a	a	DET
educationr-3693	121	34	discussion	discussion	NOUN
educationr-3693	121	35	of	of	ADP
educationr-3693	121	36	mathematical	mathematical	ADJ
educationr-3693	121	37	proof	proof	NOUN
educationr-3693	121	38	.	.	PUNCT
educationr-3693	122	1	in	in	ADP
educationr-3693	122	2	assembling	assemble	VERB
educationr-3693	122	3	their	their	PRON
educationr-3693	122	4	collection	collection	NOUN
educationr-3693	122	5	of	of	ADP
educationr-3693	122	6	facts	fact	NOUN
educationr-3693	122	7	,	,	PUNCT
educationr-3693	122	8	and	and	CCONJ
educationr-3693	122	9	in	in	ADP
educationr-3693	122	10	threading	thread	VERB
educationr-3693	122	11	their	their	PRON
educationr-3693	122	12	own	own	ADJ
educationr-3693	122	13	inner	inner	ADJ
educationr-3693	122	14	story	story	NOUN
educationr-3693	122	15	through	through	ADP
educationr-3693	122	16	this	this	DET
educationr-3693	122	17	collection	collection	NOUN
educationr-3693	122	18	,	,	PUNCT
educationr-3693	122	19	wagner	wagner	PROPN
educationr-3693	122	20	and	and	CCONJ
educationr-3693	122	21	fair	fair	ADJ
educationr-3693	122	22	have	have	AUX
educationr-3693	122	23	come	come	VERB
educationr-3693	122	24	up	up	ADP
educationr-3693	122	25	against	against	ADP
educationr-3693	122	26	the	the	DET
educationr-3693	122	27	semanticist	semanticist	NOUN
educationr-3693	122	28	’s	’s	PART
educationr-3693	122	29	ladder	ladder	NOUN
educationr-3693	122	30	of	of	ADP
educationr-3693	122	31	abstraction	abstraction	NOUN
educationr-3693	122	32	.	.	PUNCT
educationr-3693	123	1	as	as	SCONJ
educationr-3693	123	2	the	the	DET
educationr-3693	123	3	mathematician	mathematician	ADJ
educationr-3693	123	4	andrew	andrew	PROPN
educationr-3693	123	5	gleason	gleason	PROPN
educationr-3693	123	6	(	(	PUNCT
educationr-3693	123	7	1969	1969	NUM
educationr-3693	123	8	)	)	PUNCT
educationr-3693	123	9	summarized	summarize	VERB
educationr-3693	123	10	in	in	ADP
educationr-3693	123	11	a	a	DET
educationr-3693	123	12	review	review	NOUN
educationr-3693	123	13	of	of	ADP
educationr-3693	123	14	the	the	DET
educationr-3693	123	15	evolution	evolution	NOUN
educationr-3693	123	16	of	of	ADP
educationr-3693	123	17	differential	differential	ADJ
educationr-3693	123	18	topology	topology	NOUN
educationr-3693	123	19	:	:	PUNCT
educationr-3693	123	20	i	i	PRON
educationr-3693	123	21	have	have	AUX
educationr-3693	123	22	discussed	discuss	VERB
educationr-3693	123	23	this	this	DET
educationr-3693	123	24	general	general	ADJ
educationr-3693	123	25	field	field	NOUN
educationr-3693	123	26	of	of	ADP
educationr-3693	123	27	mathematics	mathematic	NOUN
educationr-3693	123	28	entirely	entirely	ADV
educationr-3693	123	29	in	in	ADP
educationr-3693	123	30	terms	term	NOUN
educationr-3693	123	31	of	of	ADP
educationr-3693	123	32	specific	specific	ADJ
educationr-3693	123	33	facts	fact	NOUN
educationr-3693	123	34	and	and	CCONJ
educationr-3693	123	35	problems	problem	NOUN
educationr-3693	123	36	.	.	PUNCT
educationr-3693	124	1	unfortunately	unfortunately	ADV
educationr-3693	124	2	the	the	DET
educationr-3693	124	3	methods	method	NOUN
educationr-3693	124	4	involved	involve	VERB
educationr-3693	124	5	in	in	ADP
educationr-3693	124	6	proving	prove	VERB
educationr-3693	124	7	these	these	DET
educationr-3693	124	8	facts	fact	NOUN
educationr-3693	124	9	involve	involve	VERB
educationr-3693	124	10	such	such	DET
educationr-3693	124	11	a	a	DET
educationr-3693	124	12	long	long	ADJ
educationr-3693	124	13	journey	journey	NOUN
educationr-3693	124	14	up	up	ADP
educationr-3693	124	15	the	the	DET
educationr-3693	124	16	ladder	ladder	NOUN
educationr-3693	124	17	of	of	ADP
educationr-3693	124	18	abstraction	abstraction	NOUN
educationr-3693	124	19	that	that	SCONJ
educationr-3693	124	20	it	it	PRON
educationr-3693	124	21	is	be	AUX
educationr-3693	124	22	impossible	impossible	ADJ
educationr-3693	124	23	to	to	PART
educationr-3693	124	24	give	give	VERB
educationr-3693	124	25	,	,	PUNCT
educationr-3693	124	26	in	in	ADP
educationr-3693	124	27	any	any	DET
educationr-3693	124	28	brief	brief	ADJ
educationr-3693	124	29	article	article	NOUN
educationr-3693	124	30	,	,	PUNCT
educationr-3693	124	31	a	a	DET
educationr-3693	124	32	fair	fair	ADJ
educationr-3693	124	33	idea	idea	NOUN
educationr-3693	124	34	of	of	ADP
educationr-3693	124	35	how	how	SCONJ
educationr-3693	124	36	they	they	PRON
educationr-3693	124	37	work	work	VERB
educationr-3693	124	38	.	.	PUNCT
educationr-3693	125	1	separated	separate	VERB
educationr-3693	125	2	from	from	ADP
educationr-3693	125	3	the	the	DET
educationr-3693	125	4	methods	method	NOUN
educationr-3693	125	5	which	which	PRON
educationr-3693	125	6	establish	establish	VERB
educationr-3693	125	7	them	they	PRON
educationr-3693	125	8	,	,	PUNCT
educationr-3693	125	9	fact	fact	NOUN
educationr-3693	125	10	can	can	AUX
educationr-3693	125	11	convey	convey	VERB
educationr-3693	125	12	only	only	ADV
educationr-3693	125	13	a	a	DET
educationr-3693	125	14	partial	partial	ADJ
educationr-3693	125	15	picture	picture	NOUN
educationr-3693	125	16	of	of	ADP
educationr-3693	125	17	mathematics	mathematic	NOUN
educationr-3693	125	18	.	.	PUNCT
educationr-3693	126	1	understanding	understand	VERB
educationr-3693	126	2	these	these	DET
educationr-3693	126	3	methods	method	NOUN
educationr-3693	126	4	is	be	AUX
educationr-3693	126	5	reserved	reserve	VERB
educationr-3693	126	6	for	for	ADP
educationr-3693	126	7	those	those	PRON
educationr-3693	126	8	who	who	PRON
educationr-3693	126	9	devote	devote	VERB
educationr-3693	126	10	years	year	NOUN
educationr-3693	126	11	to	to	ADP
educationr-3693	126	12	the	the	DET
educationr-3693	126	13	study	study	NOUN
educationr-3693	126	14	of	of	ADP
educationr-3693	126	15	mathematics	mathematics	PROPN
educationr-3693	126	16	(	(	PUNCT
educationr-3693	126	17	p.	p.	NOUN
educationr-3693	126	18	188	188	NUM
educationr-3693	126	19	)	)	PUNCT
educationr-3693	126	20	.	.	PUNCT
educationr-3693	127	1	wagner	wagner	PROPN
educationr-3693	127	2	and	and	CCONJ
educationr-3693	127	3	fair	fair	ADJ
educationr-3693	127	4	use	use	VERB
educationr-3693	127	5	their	their	PRON
educationr-3693	127	6	own	own	ADJ
educationr-3693	127	7	ladder	ladder	NOUN
educationr-3693	127	8	of	of	ADP
educationr-3693	127	9	abstraction	abstraction	NOUN
educationr-3693	127	10	in	in	ADP
educationr-3693	127	11	the	the	DET
educationr-3693	127	12	final	final	ADJ
educationr-3693	127	13	chapters	chapter	NOUN
educationr-3693	127	14	of	of	ADP
educationr-3693	127	15	the	the	DET
educationr-3693	127	16	book	book	NOUN
educationr-3693	127	17	,	,	PUNCT
educationr-3693	127	18	explaining	explain	VERB
educationr-3693	127	19	their	their	PRON
educationr-3693	127	20	picture	picture	NOUN
educationr-3693	127	21	of	of	ADP
educationr-3693	127	22	mathematics	mathematic	NOUN
educationr-3693	127	23	with	with	ADP
educationr-3693	127	24	reference	reference	NOUN
educationr-3693	127	25	to	to	ADP
educationr-3693	127	26	“	"	PUNCT
educationr-3693	127	27	the	the	DET
educationr-3693	127	28	great	great	ADJ
educationr-3693	127	29	conversation	conversation	NOUN
educationr-3693	127	30	of	of	ADP
educationr-3693	127	31	humankind	humankind	NOUN
educationr-3693	127	32	,	,	PUNCT
educationr-3693	127	33	”	"	PUNCT
educationr-3693	127	34	and	and	CCONJ
educationr-3693	127	35	“	"	PUNCT
educationr-3693	127	36	the	the	DET
educationr-3693	127	37	law	law	NOUN
educationr-3693	127	38	of	of	ADP
educationr-3693	127	39	figuring	figure	VERB
educationr-3693	127	40	things	thing	NOUN
educationr-3693	127	41	out	out	ADP
educationr-3693	127	42	.	.	PUNCT
educationr-3693	127	43	”	"	PUNCT
educationr-3693	128	1	these	these	DET
educationr-3693	128	2	ideas	idea	NOUN
educationr-3693	128	3	are	be	AUX
educationr-3693	128	4	explored	explore	VERB
educationr-3693	128	5	and	and	CCONJ
educationr-3693	128	6	explained	explain	VERB
educationr-3693	128	7	in	in	ADP
educationr-3693	128	8	more	more	ADJ
educationr-3693	128	9	detail	detail	NOUN
educationr-3693	128	10	in	in	ADP
educationr-3693	128	11	their	their	PRON
educationr-3693	128	12	book	book	NOUN
educationr-3693	128	13	thinking	think	VERB
educationr-3693	128	14	ahead	ahead	ADV
educationr-3693	128	15	:	:	PUNCT
educationr-3693	128	16	engaging	engage	VERB
educationr-3693	128	17	all	all	DET
educationr-3693	128	18	teachers	teacher	NOUN
educationr-3693	128	19	in	in	ADP
educationr-3693	128	20	critical	critical	ADJ
educationr-3693	128	21	thinking	thinking	NOUN
educationr-3693	128	22	(	(	PUNCT
educationr-3693	128	23	wagner	wagner	PROPN
educationr-3693	128	24	et	et	PROPN
educationr-3693	128	25	al	al	PROPN
educationr-3693	128	26	.	.	PROPN
educationr-3693	128	27	,	,	PUNCT
educationr-3693	128	28	2018	2018	NUM
educationr-3693	128	29	)	)	PUNCT
educationr-3693	128	30	.	.	PUNCT
educationr-3693	129	1	this	this	PRON
educationr-3693	129	2	and	and	CCONJ
educationr-3693	129	3	other	other	ADJ
educationr-3693	129	4	previous	previous	ADJ
educationr-3693	129	5	writing	writing	NOUN
educationr-3693	129	6	by	by	ADP
educationr-3693	129	7	the	the	DET
educationr-3693	129	8	authors	author	NOUN
educationr-3693	129	9	cited	cite	VERB
educationr-3693	129	10	in	in	ADP
educationr-3693	129	11	the	the	DET
educationr-3693	129	12	bibliography	bibliography	NOUN
educationr-3693	129	13	will	will	AUX
educationr-3693	129	14	be	be	AUX
educationr-3693	129	15	helpful	helpful	ADJ
educationr-3693	129	16	to	to	ADP
educationr-3693	129	17	someone	someone	PRON
educationr-3693	129	18	wanting	want	VERB
educationr-3693	129	19	to	to	PART
educationr-3693	129	20	understand	understand	VERB
educationr-3693	129	21	their	their	PRON
educationr-3693	129	22	philosophic	philosophic	ADJ
educationr-3693	129	23	approach	approach	NOUN
educationr-3693	129	24	to	to	ADP
educationr-3693	129	25	mathematics	mathematic	NOUN
educationr-3693	129	26	education	education	NOUN
educationr-3693	129	27	.	.	PUNCT
educationr-3693	130	1	education	education	NOUN
educationr-3693	130	2	review	review	PROPN
educationr-3693	130	3	/reseñas	/reseñas	PROPN
educationr-3693	130	4	educativas	educativas	PROPN
educationr-3693	130	5	/	/	SYM
educationr-3693	130	6	resenhas	resenhas	PROPN
educationr-3693	130	7	educativas	educativas	PROPN
educationr-3693	130	8	8	8	NUM
educationr-3693	130	9	references	reference	NOUN
educationr-3693	130	10	antognazza	antognazza	NOUN
educationr-3693	130	11	,	,	PUNCT
educationr-3693	130	12	m.	m.	PROPN
educationr-3693	130	13	r.	r.	PROPN
educationr-3693	130	14	(	(	PUNCT
educationr-3693	130	15	2011	2011	NUM
educationr-3693	130	16	)	)	PUNCT
educationr-3693	130	17	.	.	PUNCT
educationr-3693	131	1	leibniz	leibniz	NOUN
educationr-3693	131	2	:	:	PUNCT
educationr-3693	131	3	an	an	DET
educationr-3693	131	4	intellectual	intellectual	ADJ
educationr-3693	131	5	biography	biography	NOUN
educationr-3693	131	6	.	.	PUNCT
educationr-3693	132	1	cambridge	cambridge	PROPN
educationr-3693	132	2	university	university	PROPN
educationr-3693	132	3	press	press	NOUN
educationr-3693	132	4	.	.	PUNCT
educationr-3693	133	1	devlin	devlin	PROPN
educationr-3693	133	2	,	,	PUNCT
educationr-3693	133	3	k.	k.	PROPN
educationr-3693	133	4	(	(	PUNCT
educationr-3693	133	5	2017	2017	NUM
educationr-3693	133	6	)	)	PUNCT
educationr-3693	133	7	.	.	PUNCT
educationr-3693	134	1	finding	find	VERB
educationr-3693	134	2	fibonacci	fibonacci	NOUN
educationr-3693	134	3	:	:	PUNCT
educationr-3693	134	4	the	the	DET
educationr-3693	134	5	quest	quest	NOUN
educationr-3693	134	6	to	to	PART
educationr-3693	134	7	rediscover	rediscover	VERB
educationr-3693	134	8	the	the	DET
educationr-3693	134	9	forgotten	forget	VERB
educationr-3693	134	10	mathematical	mathematical	ADJ
educationr-3693	134	11	genius	genius	NOUN
educationr-3693	134	12	who	who	PRON
educationr-3693	134	13	changed	change	VERB
educationr-3693	134	14	the	the	DET
educationr-3693	134	15	world	world	NOUN
educationr-3693	134	16	.	.	PUNCT
educationr-3693	135	1	princeton	princeton	PROPN
educationr-3693	135	2	university	university	PROPN
educationr-3693	135	3	press	press	PROPN
educationr-3693	135	4	gleason	gleason	PROPN
educationr-3693	135	5	,	,	PUNCT
educationr-3693	135	6	a.	a.	NOUN
educationr-3693	135	7	(	(	PUNCT
educationr-3693	135	8	1969	1969	NUM
educationr-3693	135	9	)	)	PUNCT
educationr-3693	135	10	.	.	PUNCT
educationr-3693	136	1	the	the	DET
educationr-3693	136	2	evolution	evolution	NOUN
educationr-3693	136	3	of	of	ADP
educationr-3693	136	4	differential	differential	ADJ
educationr-3693	136	5	topology	topology	NOUN
educationr-3693	136	6	.	.	PUNCT
educationr-3693	137	1	in	in	ADP
educationr-3693	137	2	g.	g.	PROPN
educationr-3693	137	3	a.	a.	PROPN
educationr-3693	137	4	w.	w.	PROPN
educationr-3693	137	5	boehm	boehm	PROPN
educationr-3693	137	6	(	(	PUNCT
educationr-3693	137	7	ed	ed	NOUN
educationr-3693	137	8	.	.	PUNCT
educationr-3693	137	9	)	)	PUNCT
educationr-3693	137	10	,	,	PUNCT
educationr-3693	137	11	the	the	DET
educationr-3693	137	12	mathematical	mathematical	ADJ
educationr-3693	137	13	sciences	science	NOUN
educationr-3693	137	14	.	.	PUNCT
educationr-3693	138	1	a	a	DET
educationr-3693	138	2	collection	collection	NOUN
educationr-3693	138	3	of	of	ADP
educationr-3693	138	4	essays	essay	NOUN
educationr-3693	138	5	.	.	PUNCT
educationr-3693	139	1	mit	mit	PROPN
educationr-3693	139	2	press	press	NOUN
educationr-3693	139	3	.	.	PUNCT
educationr-3693	140	1	gold	gold	NOUN
educationr-3693	140	2	,	,	PUNCT
educationr-3693	140	3	b.	b.	PROPN
educationr-3693	140	4	(	(	PUNCT
educationr-3693	140	5	2017	2017	NUM
educationr-3693	140	6	)	)	PUNCT
educationr-3693	140	7	.	.	PUNCT
educationr-3693	141	1	school	school	NOUN
educationr-3693	141	2	mathematics	mathematic	NOUN
educationr-3693	141	3	and	and	CCONJ
educationr-3693	141	4	“	"	PUNCT
educationr-3693	141	5	real	real	ADJ
educationr-3693	141	6	”	"	PUNCT
educationr-3693	141	7	mathematics	mathematic	NOUN
educationr-3693	141	8	.	.	PUNCT
educationr-3693	142	1	in	in	ADP
educationr-3693	142	2	b.	b.	PROPN
educationr-3693	142	3	sriraman	sriraman	PROPN
educationr-3693	142	4	,	,	PUNCT
educationr-3693	142	5	(	(	PUNCT
educationr-3693	142	6	ed	ed	NOUN
educationr-3693	142	7	.	.	PUNCT
educationr-3693	142	8	)	)	PUNCT
educationr-3693	142	9	,	,	PUNCT
educationr-3693	142	10	humanizing	humanize	VERB
educationr-3693	142	11	mathematics	mathematic	NOUN
educationr-3693	142	12	and	and	CCONJ
educationr-3693	142	13	its	its	PRON
educationr-3693	142	14	philosophy	philosophy	NOUN
educationr-3693	142	15	(	(	PUNCT
educationr-3693	142	16	pp	pp	ADP
educationr-3693	142	17	125	125	NUM
educationr-3693	142	18	-	-	SYM
educationr-3693	142	19	137	137	NUM
educationr-3693	142	20	)	)	PUNCT
educationr-3693	142	21	.	.	PUNCT
educationr-3693	143	1	springer	springer	NOUN
educationr-3693	143	2	.	.	PUNCT
educationr-3693	144	1	https://doi.org/10.1007/978-3-319-61231-7_12	https://doi.org/10.1007/978-3-319-61231-7_12	PRON
educationr-3693	144	2	husserl	husserl	PROPN
educationr-3693	144	3	,	,	PUNCT
educationr-3693	144	4	e.	e.	PROPN
educationr-3693	144	5	(	(	PUNCT
educationr-3693	144	6	1978	1978	NUM
educationr-3693	144	7	)	)	PUNCT
educationr-3693	144	8	.	.	PUNCT
educationr-3693	145	1	the	the	DET
educationr-3693	145	2	origin	origin	NOUN
educationr-3693	145	3	of	of	ADP
educationr-3693	145	4	geometry	geometry	NOUN
educationr-3693	145	5	.	.	PUNCT
educationr-3693	146	1	in	in	ADP
educationr-3693	146	2	j.	j.	PROPN
educationr-3693	146	3	derrida	derrida	PROPN
educationr-3693	146	4	,	,	PUNCT
educationr-3693	146	5	edmund	edmund	PROPN
educationr-3693	146	6	husserl	husserl	PROPN
educationr-3693	146	7	’s	’s	PART
educationr-3693	146	8	origin	origin	NOUN
educationr-3693	146	9	of	of	ADP
educationr-3693	146	10	geometry	geometry	NOUN
educationr-3693	146	11	—	—	PUNCT
educationr-3693	146	12	an	an	DET
educationr-3693	146	13	introduction	introduction	NOUN
educationr-3693	146	14	.	.	PUNCT
educationr-3693	147	1	nicolas	nicolas	PROPN
educationr-3693	147	2	hays	hays	PROPN
educationr-3693	147	3	,	,	PUNCT
educationr-3693	147	4	ltd	ltd	PROPN
educationr-3693	147	5	.	.	PROPN
educationr-3693	147	6	kragh	kragh	PROPN
educationr-3693	147	7	,	,	PUNCT
educationr-3693	147	8	h.	h.	PROPN
educationr-3693	147	9	(	(	PUNCT
educationr-3693	147	10	2014	2014	NUM
educationr-3693	147	11	)	)	PUNCT
educationr-3693	147	12	.	.	PUNCT
educationr-3693	148	1	the	the	DET
educationr-3693	148	2	true	true	ADJ
educationr-3693	148	3	(	(	PUNCT
educationr-3693	148	4	?	?	NUM
educationr-3693	148	5	)	)	PUNCT
educationr-3693	148	6	story	story	NOUN
educationr-3693	148	7	of	of	ADP
educationr-3693	148	8	hilbert	hilbert	NOUN
educationr-3693	148	9	's	's	PART
educationr-3693	148	10	infinite	infinite	ADJ
educationr-3693	148	11	hotel	hotel	NOUN
educationr-3693	148	12	.	.	PUNCT
educationr-3693	149	1	arxiv	arxiv	PROPN
educationr-3693	149	2	–	–	PUNCT
educationr-3693	149	3	physics	physics	NOUN
educationr-3693	149	4	.	.	PUNCT
educationr-3693	150	1	https://doi.org/10.48550/arxiv.1403.0059	https://doi.org/10.48550/arxiv.1403.0059	PROPN
educationr-3693	150	2	olson	olson	PROPN
educationr-3693	150	3	,	,	PUNCT
educationr-3693	150	4	e.	e.	PROPN
educationr-3693	150	5	(	(	PUNCT
educationr-3693	150	6	2023	2023	NUM
educationr-3693	150	7	)	)	PUNCT
educationr-3693	150	8	.	.	PUNCT
educationr-3693	151	1	book	book	NOUN
educationr-3693	151	2	review	review	NOUN
educationr-3693	151	3	of	of	ADP
educationr-3693	151	4	count	count	VERB
educationr-3693	151	5	me	i	PRON
educationr-3693	151	6	in	in	ADP
educationr-3693	151	7	.	.	PUNCT
educationr-3693	152	1	notices	notice	NOUN
educationr-3693	152	2	of	of	ADP
educationr-3693	152	3	the	the	DET
educationr-3693	152	4	american	american	PROPN
educationr-3693	152	5	mathematical	mathematical	PROPN
educationr-3693	152	6	society	society	NOUN
educationr-3693	152	7	,	,	PUNCT
educationr-3693	152	8	70(3	70(3	NOUN
educationr-3693	152	9	)	)	PUNCT
educationr-3693	152	10	,	,	PUNCT
educationr-3693	152	11	464	464	NUM
educationr-3693	152	12	.	.	PUNCT
educationr-3693	153	1	ribet	ribet	PROPN
educationr-3693	153	2	,	,	PUNCT
educationr-3693	153	3	k.	k.	PROPN
educationr-3693	153	4	a.	a.	PROPN
educationr-3693	153	5	(	(	PUNCT
educationr-3693	153	6	2018	2018	NUM
educationr-3693	153	7	)	)	PUNCT
educationr-3693	153	8	.	.	PUNCT
educationr-3693	154	1	inside	inside	ADP
educationr-3693	154	2	the	the	DET
educationr-3693	154	3	ams	am	NOUN
educationr-3693	154	4	.	.	PUNCT
educationr-3693	155	1	notices	notice	NOUN
educationr-3693	155	2	of	of	ADP
educationr-3693	155	3	the	the	DET
educationr-3693	155	4	american	american	PROPN
educationr-3693	155	5	mathematical	mathematical	PROPN
educationr-3693	155	6	society	society	NOUN
educationr-3693	155	7	,	,	PUNCT
educationr-3693	155	8	65(1	65(1	NOUN
educationr-3693	155	9	)	)	PUNCT
educationr-3693	155	10	,	,	PUNCT
educationr-3693	155	11	69	69	NUM
educationr-3693	155	12	.	.	PUNCT
educationr-3693	156	1	russell	russell	PROPN
educationr-3693	156	2	,	,	PUNCT
educationr-3693	156	3	b.	b.	PROPN
educationr-3693	156	4	(	(	PUNCT
educationr-3693	156	5	1960	1960	NUM
educationr-3693	156	6	)	)	PUNCT
educationr-3693	156	7	.	.	PUNCT
educationr-3693	157	1	the	the	DET
educationr-3693	157	2	unreasonable	unreasonable	ADJ
educationr-3693	157	3	effectiveness	effectiveness	NOUN
educationr-3693	157	4	of	of	ADP
educationr-3693	157	5	mathematics	mathematic	NOUN
educationr-3693	157	6	in	in	ADP
educationr-3693	157	7	the	the	DET
educationr-3693	157	8	natural	natural	ADJ
educationr-3693	157	9	sciences	science	NOUN
educationr-3693	157	10	.	.	PUNCT
educationr-3693	158	1	richard	richard	PROPN
educationr-3693	158	2	courant	courant	PROPN
educationr-3693	158	3	lecture	lecture	PROPN
educationr-3693	158	4	in	in	ADP
educationr-3693	158	5	mathematical	mathematical	ADJ
educationr-3693	158	6	sciences	science	NOUN
educationr-3693	158	7	delivered	deliver	VERB
educationr-3693	158	8	at	at	ADP
educationr-3693	158	9	new	new	PROPN
educationr-3693	158	10	york	york	PROPN
educationr-3693	158	11	university	university	PROPN
educationr-3693	158	12	,	,	PUNCT
educationr-3693	158	13	may	may	AUX
educationr-3693	158	14	11	11	NUM
educationr-3693	158	15	,	,	PUNCT
educationr-3693	158	16	1959	1959	NUM
educationr-3693	158	17	.	.	PUNCT
educationr-3693	159	1	communications	communication	NOUN
educationr-3693	159	2	on	on	ADP
educationr-3693	159	3	pure	pure	ADJ
educationr-3693	159	4	and	and	CCONJ
educationr-3693	159	5	applied	applied	ADJ
educationr-3693	159	6	mathematics	mathematic	NOUN
educationr-3693	159	7	,	,	PUNCT
educationr-3693	159	8	13(1	13(1	NUM
educationr-3693	159	9	)	)	PUNCT
educationr-3693	159	10	,	,	PUNCT
educationr-3693	159	11	14	14	NUM
educationr-3693	159	12	.	.	X
educationr-3693	159	13	wagner	wagner	PROPN
educationr-3693	159	14	,	,	PUNCT
educationr-3693	159	15	p.	p.	NOUN
educationr-3693	159	16	a.	a.	NOUN
educationr-3693	159	17	(	(	PUNCT
educationr-3693	159	18	2021	2021	NUM
educationr-3693	159	19	)	)	PUNCT
educationr-3693	159	20	.	.	PUNCT
educationr-3693	160	1	the	the	DET
educationr-3693	160	2	methods	method	NOUN
educationr-3693	160	3	,	,	PUNCT
educationr-3693	160	4	benefits	benefit	NOUN
educationr-3693	160	5	and	and	CCONJ
educationr-3693	160	6	limitations	limitation	NOUN
educationr-3693	160	7	of	of	ADP
educationr-3693	160	8	indoctrination	indoctrination	NOUN
educationr-3693	160	9	in	in	ADP
educationr-3693	160	10	mathematics	mathematic	NOUN
educationr-3693	160	11	education	education	NOUN
educationr-3693	160	12	.	.	PUNCT
educationr-3693	161	1	interchange	interchange	NOUN
educationr-3693	161	2	:	:	PUNCT
educationr-3693	161	3	a	a	DET
educationr-3693	161	4	quarterly	quarterly	ADJ
educationr-3693	161	5	review	review	NOUN
educationr-3693	161	6	of	of	ADP
educationr-3693	161	7	education	education	NOUN
educationr-3693	161	8	,	,	PUNCT
educationr-3693	161	9	52(1	52(1	NOUN
educationr-3693	161	10	)	)	PUNCT
educationr-3693	161	11	,	,	PUNCT
educationr-3693	161	12	41–56	41–56	NUM
educationr-3693	161	13	.	.	PUNCT
educationr-3693	162	1	wagner	wagner	PROPN
educationr-3693	162	2	,	,	PUNCT
educationr-3693	162	3	p.	p.	PROPN
educationr-3693	162	4	a.	a.	PROPN
educationr-3693	162	5	,	,	PUNCT
educationr-3693	162	6	johnson	johnson	PROPN
educationr-3693	162	7	,	,	PUNCT
educationr-3693	162	8	d.	d.	PROPN
educationr-3693	162	9	,	,	PUNCT
educationr-3693	162	10	fair	fair	PROPN
educationr-3693	162	11	,	,	PUNCT
educationr-3693	162	12	f.	f.	PROPN
educationr-3693	162	13	,	,	PUNCT
educationr-3693	162	14	&	&	CCONJ
educationr-3693	162	15	fasko	fasko	PROPN
educationr-3693	162	16	,	,	PUNCT
educationr-3693	162	17	d.	d.	PROPN
educationr-3693	162	18	(	(	PUNCT
educationr-3693	162	19	2018	2018	NUM
educationr-3693	162	20	)	)	PUNCT
educationr-3693	162	21	.	.	PUNCT
educationr-3693	163	1	thinking	think	VERB
educationr-3693	163	2	ahead	ahead	ADV
educationr-3693	163	3	—	—	PUNCT
educationr-3693	163	4	engaging	engage	VERB
educationr-3693	163	5	all	all	DET
educationr-3693	163	6	teachers	teacher	NOUN
educationr-3693	163	7	in	in	ADP
educationr-3693	163	8	critical	critical	ADJ
educationr-3693	163	9	thinking	thinking	NOUN
educationr-3693	163	10	.	.	PUNCT
educationr-3693	164	1	rowman	rowman	PROPN
educationr-3693	164	2	&	&	CCONJ
educationr-3693	164	3	littlefield	littlefield	PROPN
educationr-3693	164	4	.	.	PUNCT
educationr-3693	165	1	zalamea	zalamea	PROPN
educationr-3693	165	2	,	,	PUNCT
educationr-3693	165	3	f.	f.	PROPN
educationr-3693	165	4	(	(	PUNCT
educationr-3693	165	5	2019	2019	NUM
educationr-3693	165	6	)	)	PUNCT
educationr-3693	165	7	synthetic	synthetic	ADJ
educationr-3693	165	8	philosophy	philosophy	NOUN
educationr-3693	165	9	of	of	ADP
educationr-3693	165	10	contemporary	contemporary	ADJ
educationr-3693	165	11	mathematics	mathematic	NOUN
educationr-3693	165	12	.	.	PUNCT
educationr-3693	166	1	sequence	sequence	NOUN
educationr-3693	166	2	press	press	NOUN
educationr-3693	166	3	.	.	PUNCT
educationr-3693	167	1	about	about	ADP
educationr-3693	167	2	the	the	DET
educationr-3693	167	3	reviewer	reviewer	NOUN
educationr-3693	167	4	david	david	PROPN
educationr-3693	167	5	fowler	fowler	PROPN
educationr-3693	167	6	is	be	AUX
educationr-3693	167	7	an	an	DET
educationr-3693	167	8	emeritus	emeritus	ADJ
educationr-3693	167	9	professor	professor	NOUN
educationr-3693	167	10	of	of	ADP
educationr-3693	167	11	mathematics	mathematics	PROPN
educationr-3693	167	12	education	education	NOUN
educationr-3693	167	13	at	at	ADP
educationr-3693	167	14	the	the	DET
educationr-3693	167	15	university	university	PROPN
educationr-3693	167	16	of	of	ADP
educationr-3693	167	17	nebraska	nebraska	PROPN
educationr-3693	167	18	-	-	PROPN
educationr-3693	167	19	lincoln	lincoln	PROPN
educationr-3693	167	20	(	(	PUNCT
educationr-3693	167	21	un	un	PROPN
educationr-3693	167	22	-	-	PROPN
educationr-3693	167	23	l	l	NOUN
educationr-3693	167	24	)	)	PUNCT
educationr-3693	167	25	.	.	PUNCT
educationr-3693	168	1	he	he	PRON
educationr-3693	168	2	has	have	VERB
educationr-3693	168	3	an	an	DET
educationr-3693	168	4	undergraduate	undergraduate	NOUN
educationr-3693	168	5	degree	degree	NOUN
educationr-3693	168	6	in	in	ADP
educationr-3693	168	7	mathematics	mathematic	NOUN
educationr-3693	168	8	from	from	ADP
educationr-3693	168	9	harvard	harvard	PROPN
educationr-3693	168	10	college	college	PROPN
educationr-3693	168	11	(	(	PUNCT
educationr-3693	168	12	1962	1962	NUM
educationr-3693	168	13	)	)	PUNCT
educationr-3693	168	14	and	and	CCONJ
educationr-3693	168	15	phd	phd	NOUN
educationr-3693	168	16	from	from	ADP
educationr-3693	168	17	un	un	PROPN
educationr-3693	168	18	-	-	NOUN
educationr-3693	168	19	l	l	NOUN
educationr-3693	168	20	in	in	ADP
educationr-3693	168	21	mathematics	mathematics	NOUN
educationr-3693	168	22	education	education	NOUN
educationr-3693	168	23	and	and	CCONJ
educationr-3693	168	24	instructional	instructional	ADJ
educationr-3693	168	25	technology	technology	NOUN
educationr-3693	168	26	(	(	PUNCT
educationr-3693	168	27	1991	1991	NUM
educationr-3693	168	28	)	)	PUNCT
educationr-3693	168	29	.	.	PUNCT
educationr-3693	169	1	his	his	PRON
educationr-3693	169	2	primary	primary	ADJ
educationr-3693	169	3	interests	interest	NOUN
educationr-3693	169	4	are	be	AUX
educationr-3693	169	5	in	in	ADP
educationr-3693	169	6	finding	find	VERB
educationr-3693	169	7	uses	use	NOUN
educationr-3693	169	8	for	for	ADP
educationr-3693	169	9	emerging	emerge	VERB
educationr-3693	169	10	technologies	technology	NOUN
educationr-3693	169	11	in	in	ADP
educationr-3693	169	12	mathematics	mathematic	NOUN
educationr-3693	169	13	education	education	NOUN
educationr-3693	169	14	,	,	PUNCT
educationr-3693	169	15	especially	especially	ADV
educationr-3693	169	16	with	with	ADP
educationr-3693	169	17	the	the	DET
educationr-3693	169	18	application	application	NOUN
educationr-3693	169	19	mathematica	mathematica	PROPN
educationr-3693	169	20	,	,	PUNCT
educationr-3693	169	21	developed	develop	VERB
educationr-3693	169	22	by	by	ADP
educationr-3693	169	23	wolfram	wolfram	PROPN
educationr-3693	169	24	research	research	PROPN
educationr-3693	169	25	,	,	PUNCT
educationr-3693	169	26	inc	inc	PROPN
educationr-3693	169	27	.	.	PUNCT
educationr-3693	170	1	he	he	PRON
educationr-3693	170	2	has	have	AUX
educationr-3693	170	3	been	be	AUX
educationr-3693	170	4	a	a	DET
educationr-3693	170	5	wolfram	wolfram	NOUN
educationr-3693	170	6	visiting	visit	VERB
educationr-3693	170	7	scholar	scholar	NOUN
educationr-3693	170	8	at	at	ADP
educationr-3693	170	9	the	the	DET
educationr-3693	170	10	wri	wri	PROPN
educationr-3693	170	11	campus	campus	NOUN
educationr-3693	170	12	and	and	CCONJ
educationr-3693	170	13	was	be	AUX
educationr-3693	170	14	editor	editor	NOUN
educationr-3693	170	15	-	-	PUNCT
educationr-3693	170	16	in	in	ADP
educationr-3693	170	17	-	-	PUNCT
educationr-3693	170	18	chief	chief	NOUN
educationr-3693	170	19	of	of	ADP
educationr-3693	170	20	the	the	DET
educationr-3693	170	21	journal	journal	PROPN
educationr-3693	170	22	mathematica	mathematica	PROPN
educationr-3693	170	23	in	in	ADP
educationr-3693	170	24	education	education	NOUN
educationr-3693	170	25	and	and	CCONJ
educationr-3693	170	26	research	research	NOUN
educationr-3693	170	27	(	(	PUNCT
educationr-3693	170	28	springer	springer	NOUN
educationr-3693	170	29	verlag	verlag	PROPN
educationr-3693	170	30	)	)	PUNCT
educationr-3693	170	31	from	from	ADP
educationr-3693	170	32	1998	1998	NUM
educationr-3693	170	33	to	to	ADP
educationr-3693	170	34	2002	2002	NUM
educationr-3693	170	35	.	.	PUNCT
educationr-3693	171	1	at	at	ADP
educationr-3693	171	2	un	un	PROPN
educationr-3693	171	3	-	-	PROPN
educationr-3693	171	4	l	l	NOUN
educationr-3693	171	5	he	he	PRON
educationr-3693	171	6	was	be	AUX
educationr-3693	171	7	chair	chair	NOUN
educationr-3693	171	8	or	or	CCONJ
educationr-3693	171	9	co	co	NOUN
educationr-3693	171	10	-	-	NOUN
educationr-3693	171	11	chair	chair	NOUN
educationr-3693	171	12	for	for	ADP
educationr-3693	171	13	19	19	NUM
educationr-3693	171	14	doctoral	doctoral	ADJ
educationr-3693	171	15	students	student	NOUN
educationr-3693	171	16	and	and	CCONJ
educationr-3693	171	17	74	74	NUM
educationr-3693	171	18	master	master	NOUN
educationr-3693	171	19	’s	’s	PART
educationr-3693	171	20	students	student	NOUN
educationr-3693	171	21	in	in	ADP
educationr-3693	171	22	mathematics	mathematic	NOUN
educationr-3693	171	23	or	or	CCONJ
educationr-3693	171	24	technology	technology	NOUN
educationr-3693	171	25	education	education	NOUN
educationr-3693	171	26	.	.	PUNCT
educationr-3693	172	1	in	in	ADP
educationr-3693	172	2	2011	2011	NUM
educationr-3693	172	3	,	,	PUNCT
educationr-3693	172	4	he	he	PRON
educationr-3693	172	5	received	receive	VERB
educationr-3693	172	6	the	the	DET
educationr-3693	172	7	milton	milton	PROPN
educationr-3693	172	8	beckman	beckman	PROPN
educationr-3693	172	9	lifetime	lifetime	PROPN
educationr-3693	172	10	achievement	achievement	PROPN
educationr-3693	172	11	award	award	PROPN
educationr-3693	172	12	for	for	ADP
educationr-3693	172	13	advancement	advancement	NOUN
educationr-3693	172	14	of	of	ADP
educationr-3693	172	15	mathematics	mathematic	NOUN
educationr-3693	172	16	education	education	NOUN
educationr-3693	172	17	from	from	ADP
educationr-3693	172	18	the	the	DET
educationr-3693	172	19	nebraska	nebraska	PROPN
educationr-3693	172	20	association	association	PROPN
educationr-3693	172	21	of	of	ADP
educationr-3693	172	22	teachers	teacher	NOUN
educationr-3693	172	23	of	of	ADP
educationr-3693	172	24	mathematics	mathematics	PROPN
educationr-3693	172	25	.	.	PUNCT
educationr-3693	173	1	review	review	NOUN
educationr-3693	173	2	of	of	ADP
educationr-3693	173	3	the	the	DET
educationr-3693	173	4	personality	personality	NOUN
educationr-3693	173	5	of	of	ADP
educationr-3693	173	6	math	math	NOUN
educationr-3693	173	7	9	9	NUM
educationr-3693	173	8	education	education	NOUN
educationr-3693	173	9	review	review	NOUN
educationr-3693	173	10	/	/	SYM
educationr-3693	173	11	reseñas	reseñas	PROPN
educationr-3693	173	12	educativas	educativas	PROPN
educationr-3693	173	13	/	/	SYM
educationr-3693	173	14	resenhas	resenhas	PROPN
educationr-3693	173	15	educativas	educativas	NOUN
educationr-3693	173	16	is	be	AUX
educationr-3693	173	17	supported	support	VERB
educationr-3693	173	18	by	by	ADP
educationr-3693	173	19	the	the	DET
educationr-3693	173	20	scholarly	scholarly	ADJ
educationr-3693	173	21	communications	communication	NOUN
educationr-3693	173	22	group	group	NOUN
educationr-3693	173	23	at	at	ADP
educationr-3693	173	24	the	the	DET
educationr-3693	173	25	mary	mary	PROPN
educationr-3693	173	26	lou	lou	PROPN
educationr-3693	173	27	fulton	fulton	PROPN
educationr-3693	173	28	teachers	teachers	PROPN
educationr-3693	173	29	college	college	PROPN
educationr-3693	173	30	,	,	PUNCT
educationr-3693	173	31	arizona	arizona	PROPN
educationr-3693	173	32	state	state	PROPN
educationr-3693	173	33	university	university	PROPN
educationr-3693	173	34	.	.	PUNCT
educationr-3693	174	1	copyright	copyright	NOUN
educationr-3693	174	2	is	be	AUX
educationr-3693	174	3	retained	retain	VERB
educationr-3693	174	4	by	by	ADP
educationr-3693	174	5	the	the	DET
educationr-3693	174	6	first	first	ADJ
educationr-3693	174	7	or	or	CCONJ
educationr-3693	174	8	sole	sole	ADJ
educationr-3693	174	9	author	author	NOUN
educationr-3693	174	10	,	,	PUNCT
educationr-3693	174	11	who	who	PRON
educationr-3693	174	12	grants	grant	VERB
educationr-3693	174	13	right	right	ADV
educationr-3693	174	14	of	of	ADP
educationr-3693	174	15	first	first	ADJ
educationr-3693	174	16	publication	publication	NOUN
educationr-3693	174	17	to	to	ADP
educationr-3693	174	18	the	the	DET
educationr-3693	174	19	education	education	NOUN
educationr-3693	174	20	review	review	NOUN
educationr-3693	174	21	.	.	PUNCT
educationr-3693	175	1	readers	reader	NOUN
educationr-3693	175	2	are	be	AUX
educationr-3693	175	3	free	free	ADJ
educationr-3693	175	4	to	to	PART
educationr-3693	175	5	copy	copy	VERB
educationr-3693	175	6	,	,	PUNCT
educationr-3693	175	7	display	display	NOUN
educationr-3693	175	8	,	,	PUNCT
educationr-3693	175	9	distribute	distribute	VERB
educationr-3693	175	10	,	,	PUNCT
educationr-3693	175	11	and	and	CCONJ
educationr-3693	175	12	adapt	adapt	VERB
educationr-3693	175	13	this	this	DET
educationr-3693	175	14	article	article	NOUN
educationr-3693	175	15	,	,	PUNCT
educationr-3693	175	16	as	as	ADV
educationr-3693	175	17	long	long	ADV
educationr-3693	175	18	as	as	SCONJ
educationr-3693	175	19	the	the	DET
educationr-3693	175	20	work	work	NOUN
educationr-3693	175	21	is	be	AUX
educationr-3693	175	22	attributed	attribute	VERB
educationr-3693	175	23	to	to	ADP
educationr-3693	175	24	the	the	DET
educationr-3693	175	25	author(s	author(s	NOUN
educationr-3693	175	26	)	)	PUNCT
educationr-3693	175	27	and	and	CCONJ
educationr-3693	175	28	education	education	PROPN
educationr-3693	175	29	review	review	NOUN
educationr-3693	175	30	,	,	PUNCT
educationr-3693	175	31	the	the	DET
educationr-3693	175	32	changes	change	NOUN
educationr-3693	175	33	are	be	AUX
educationr-3693	175	34	identified	identify	VERB
educationr-3693	175	35	,	,	PUNCT
educationr-3693	175	36	and	and	CCONJ
educationr-3693	175	37	the	the	DET
educationr-3693	175	38	same	same	ADJ
educationr-3693	175	39	license	license	NOUN
educationr-3693	175	40	applies	apply	VERB
educationr-3693	175	41	to	to	ADP
educationr-3693	175	42	the	the	DET
educationr-3693	175	43	derivative	derivative	ADJ
educationr-3693	175	44	work	work	NOUN
educationr-3693	175	45	.	.	PUNCT
educationr-3693	176	1	more	more	ADJ
educationr-3693	176	2	details	detail	NOUN
educationr-3693	176	3	of	of	ADP
educationr-3693	176	4	this	this	DET
educationr-3693	176	5	creative	creative	ADJ
educationr-3693	176	6	commons	common	NOUN
educationr-3693	176	7	license	license	NOUN
educationr-3693	176	8	are	be	AUX
educationr-3693	176	9	available	available	ADJ
educationr-3693	176	10	at	at	ADP
educationr-3693	176	11	https://creativecommons.org/licenses/by-sa/4.0/.	https://creativecommons.org/licenses/by-sa/4.0/.	PROPN
educationr-3693	176	12	disclaimer	disclaimer	NOUN
educationr-3693	176	13	:	:	PUNCT
educationr-3693	176	14	the	the	DET
educationr-3693	176	15	views	view	NOUN
educationr-3693	176	16	or	or	CCONJ
educationr-3693	176	17	opinions	opinion	NOUN
educationr-3693	176	18	presented	present	VERB
educationr-3693	176	19	in	in	ADP
educationr-3693	176	20	book	book	NOUN
educationr-3693	176	21	reviews	review	NOUN
educationr-3693	176	22	are	be	AUX
educationr-3693	176	23	solely	solely	ADV
educationr-3693	176	24	those	those	PRON
educationr-3693	176	25	of	of	ADP
educationr-3693	176	26	the	the	DET
educationr-3693	176	27	author(s	author(s	NOUN
educationr-3693	176	28	)	)	PUNCT
educationr-3693	176	29	and	and	CCONJ
educationr-3693	176	30	do	do	AUX
educationr-3693	176	31	not	not	PART
educationr-3693	176	32	necessarily	necessarily	ADV
educationr-3693	176	33	represent	represent	VERB
educationr-3693	176	34	those	those	PRON
educationr-3693	176	35	of	of	ADP
educationr-3693	176	36	education	education	NOUN
educationr-3693	176	37	review	review	NOUN
educationr-3693	176	38	.	.	PUNCT
educationr-3693	177	1	https://creativecommons.org/licenses/by-sa/4.0	https://creativecommons.org/licenses/by-sa/4.0	X