id	sid	tid	token	lemma	pos
atpp-1104	1	1	analytic	analytic	ADJ
atpp-1104	1	2	teaching	teaching	NOUN
atpp-1104	1	3	and	and	CCONJ
atpp-1104	1	4	philosophical	philosophical	ADJ
atpp-1104	1	5	praxis	praxis	ADJ
atpp-1104	1	6	vol	vol	NOUN
atpp-1104	1	7	.	.	PUNCT
atpp-1104	2	1	34	34	NUM
atpp-1104	2	2	issue	issue	NOUN
atpp-1104	2	3	1	1	NUM
atpp-1104	2	4	69	69	NUM
atpp-1104	2	5	the	the	DET
atpp-1104	2	6	history	history	NOUN
atpp-1104	2	7	of	of	ADP
atpp-1104	2	8	mathematics	mathematic	NOUN
atpp-1104	2	9	as	as	ADP
atpp-1104	2	10	scaffolding	scaffold	VERB
atpp-1104	2	11	for	for	ADP
atpp-1104	2	12	introducing	introduce	VERB
atpp-1104	2	13	prospective	prospective	ADJ
atpp-1104	2	14	teachers	teacher	NOUN
atpp-1104	2	15	into	into	ADP
atpp-1104	2	16	the	the	DET
atpp-1104	2	17	philosophy	philosophy	NOUN
atpp-1104	2	18	of	of	ADP
atpp-1104	2	19	mathematics	mathematics	PROPN
atpp-1104	2	20	dimitris	dimitris	PROPN
atpp-1104	2	21	chassapis	chassapi	VERB
atpp-1104	2	22	an	an	DET
atpp-1104	2	23	introductory	introductory	ADJ
atpp-1104	2	24	note	note	NOUN
atpp-1104	2	25	this	this	DET
atpp-1104	2	26	paper	paper	NOUN
atpp-1104	2	27	claims	claim	VERB
atpp-1104	2	28	that	that	SCONJ
atpp-1104	2	29	the	the	DET
atpp-1104	2	30	awareness	awareness	NOUN
atpp-1104	2	31	of	of	ADP
atpp-1104	2	32	crucial	crucial	ADJ
atpp-1104	2	33	philosophical	philosophical	ADJ
atpp-1104	2	34	questions	question	NOUN
atpp-1104	2	35	and	and	CCONJ
atpp-1104	2	36	controversies	controversy	NOUN
atpp-1104	2	37	,	,	PUNCT
atpp-1104	2	38	which	which	PRON
atpp-1104	2	39	have	have	AUX
atpp-1104	2	40	arisen	arise	VERB
atpp-1104	2	41	during	during	ADP
atpp-1104	2	42	the	the	DET
atpp-1104	2	43	historical	historical	ADJ
atpp-1104	2	44	evolution	evolution	NOUN
atpp-1104	2	45	of	of	ADP
atpp-1104	2	46	fundamental	fundamental	ADJ
atpp-1104	2	47	concepts	concept	NOUN
atpp-1104	2	48	,	,	PUNCT
atpp-1104	2	49	ideas	idea	NOUN
atpp-1104	2	50	and	and	CCONJ
atpp-1104	2	51	processes	process	NOUN
atpp-1104	2	52	in	in	ADP
atpp-1104	2	53	mathematics	mathematic	NOUN
atpp-1104	2	54	,	,	PUNCT
atpp-1104	2	55	should	should	AUX
atpp-1104	2	56	be	be	AUX
atpp-1104	2	57	an	an	DET
atpp-1104	2	58	essential	essential	ADJ
atpp-1104	2	59	component	component	NOUN
atpp-1104	2	60	of	of	ADP
atpp-1104	2	61	the	the	DET
atpp-1104	2	62	professional	professional	ADJ
atpp-1104	2	63	knowledge	knowledge	NOUN
atpp-1104	2	64	of	of	ADP
atpp-1104	2	65	student	student	NOUN
atpp-1104	2	66	teachers	teacher	NOUN
atpp-1104	2	67	who	who	PRON
atpp-1104	2	68	intend	intend	VERB
atpp-1104	2	69	to	to	PART
atpp-1104	2	70	teach	teach	VERB
atpp-1104	2	71	children	child	NOUN
atpp-1104	2	72	mathematics	mathematic	NOUN
atpp-1104	2	73	.	.	PUNCT
atpp-1104	3	1	the	the	DET
atpp-1104	3	2	starting	starting	NOUN
atpp-1104	3	3	point	point	NOUN
atpp-1104	3	4	of	of	ADP
atpp-1104	3	5	this	this	DET
atpp-1104	3	6	claim	claim	NOUN
atpp-1104	3	7	is	be	AUX
atpp-1104	3	8	the	the	DET
atpp-1104	3	9	premise	premise	NOUN
atpp-1104	3	10	that	that	SCONJ
atpp-1104	3	11	the	the	DET
atpp-1104	3	12	philosophy	philosophy	NOUN
atpp-1104	3	13	of	of	ADP
atpp-1104	3	14	mathematics	mathematic	NOUN
atpp-1104	3	15	may	may	AUX
atpp-1104	3	16	provide	provide	VERB
atpp-1104	3	17	a	a	DET
atpp-1104	3	18	unifying	unifying	ADJ
atpp-1104	3	19	framework	framework	NOUN
atpp-1104	3	20	,	,	PUNCT
atpp-1104	3	21	which	which	PRON
atpp-1104	3	22	potentially	potentially	ADV
atpp-1104	3	23	supports	support	VERB
atpp-1104	3	24	an	an	DET
atpp-1104	3	25	epistemological	epistemological	ADJ
atpp-1104	3	26	clarification	clarification	NOUN
atpp-1104	3	27	of	of	ADP
atpp-1104	3	28	mathematical	mathematical	ADJ
atpp-1104	3	29	knowledge	knowledge	NOUN
atpp-1104	3	30	,	,	PUNCT
atpp-1104	3	31	as	as	ADV
atpp-1104	3	32	well	well	ADV
atpp-1104	3	33	as	as	ADP
atpp-1104	3	34	critical	critical	ADJ
atpp-1104	3	35	reflection	reflection	NOUN
atpp-1104	3	36	on	on	ADP
atpp-1104	3	37	the	the	DET
atpp-1104	3	38	beliefs	belief	NOUN
atpp-1104	3	39	and	and	CCONJ
atpp-1104	3	40	values	value	NOUN
atpp-1104	3	41	about	about	ADP
atpp-1104	3	42	mathematics	mathematic	NOUN
atpp-1104	3	43	,	,	PUNCT
atpp-1104	3	44	that	that	SCONJ
atpp-1104	3	45	a	a	DET
atpp-1104	3	46	teacher	teacher	NOUN
atpp-1104	3	47	holds	hold	VERB
atpp-1104	3	48	,	,	PUNCT
atpp-1104	3	49	which	which	PRON
atpp-1104	3	50	guide	guide	VERB
atpp-1104	3	51	the	the	DET
atpp-1104	3	52	practice	practice	NOUN
atpp-1104	3	53	of	of	ADP
atpp-1104	3	54	mathematics	mathematic	NOUN
atpp-1104	3	55	teaching	teaching	NOUN
atpp-1104	3	56	,	,	PUNCT
atpp-1104	3	57	as	as	SCONJ
atpp-1104	3	58	relevant	relevant	ADJ
atpp-1104	3	59	research	research	NOUN
atpp-1104	3	60	has	have	AUX
atpp-1104	3	61	shown	show	VERB
atpp-1104	3	62	(	(	PUNCT
atpp-1104	3	63	thompson	thompson	NOUN
atpp-1104	3	64	,	,	PUNCT
atpp-1104	3	65	1984	1984	NUM
atpp-1104	3	66	,	,	PUNCT
atpp-1104	3	67	1992	1992	NUM
atpp-1104	3	68	)	)	PUNCT
atpp-1104	3	69	.	.	PUNCT
atpp-1104	4	1	based	base	VERB
atpp-1104	4	2	upon	upon	SCONJ
atpp-1104	4	3	the	the	DET
atpp-1104	4	4	above	above	ADJ
atpp-1104	4	5	perspective	perspective	NOUN
atpp-1104	4	6	,	,	PUNCT
atpp-1104	4	7	a	a	DET
atpp-1104	4	8	course	course	NOUN
atpp-1104	4	9	has	have	AUX
atpp-1104	4	10	been	be	AUX
atpp-1104	4	11	designed	design	VERB
atpp-1104	4	12	and	and	CCONJ
atpp-1104	4	13	implemented	implement	VERB
atpp-1104	4	14	in	in	ADP
atpp-1104	4	15	a	a	DET
atpp-1104	4	16	greek	greek	ADJ
atpp-1104	4	17	university	university	NOUN
atpp-1104	4	18	.	.	PUNCT
atpp-1104	5	1	it	it	PRON
atpp-1104	5	2	uses	use	VERB
atpp-1104	5	3	themes	theme	NOUN
atpp-1104	5	4	from	from	ADP
atpp-1104	5	5	the	the	DET
atpp-1104	5	6	history	history	NOUN
atpp-1104	5	7	of	of	ADP
atpp-1104	5	8	mathematics	mathematic	NOUN
atpp-1104	5	9	as	as	ADP
atpp-1104	5	10	scaffolding	scaffold	VERB
atpp-1104	5	11	for	for	ADP
atpp-1104	5	12	the	the	DET
atpp-1104	5	13	introduction	introduction	NOUN
atpp-1104	5	14	of	of	ADP
atpp-1104	5	15	prospective	prospective	ADJ
atpp-1104	5	16	teachers	teacher	NOUN
atpp-1104	5	17	to	to	ADP
atpp-1104	5	18	the	the	DET
atpp-1104	5	19	questions	question	NOUN
atpp-1104	5	20	and	and	CCONJ
atpp-1104	5	21	controversies	controversy	NOUN
atpp-1104	5	22	raised	raise	VERB
atpp-1104	5	23	by	by	ADP
atpp-1104	5	24	various	various	ADJ
atpp-1104	5	25	philosophical	philosophical	ADJ
atpp-1104	5	26	approaches	approach	NOUN
atpp-1104	5	27	to	to	ADP
atpp-1104	5	28	mathematics	mathematic	NOUN
atpp-1104	5	29	throughout	throughout	ADP
atpp-1104	5	30	its	its	PRON
atpp-1104	5	31	historical	historical	ADJ
atpp-1104	5	32	development	development	NOUN
atpp-1104	5	33	.	.	PUNCT
atpp-1104	6	1	reasons	reason	NOUN
atpp-1104	6	2	why	why	SCONJ
atpp-1104	6	3	the	the	DET
atpp-1104	6	4	philosphy	philosphy	NOUN
atpp-1104	6	5	of	of	ADP
atpp-1104	6	6	mathematics	mathematic	NOUN
atpp-1104	6	7	for	for	ADP
atpp-1104	6	8	teaching	teach	VERB
atpp-1104	6	9	mathematics	mathematic	NOUN
atpp-1104	6	10	in	in	ADP
atpp-1104	6	11	the	the	DET
atpp-1104	6	12	project	project	NOUN
atpp-1104	6	13	reported	report	VERB
atpp-1104	6	14	here	here	ADV
atpp-1104	6	15	,	,	PUNCT
atpp-1104	6	16	mathematics	mathematics	NOUN
atpp-1104	6	17	teaching	teaching	NOUN
atpp-1104	6	18	is	be	AUX
atpp-1104	6	19	understood	understand	VERB
atpp-1104	6	20	as	as	ADP
atpp-1104	6	21	a	a	DET
atpp-1104	6	22	practice	practice	NOUN
atpp-1104	6	23	that	that	PRON
atpp-1104	6	24	intentionally	intentionally	ADV
atpp-1104	6	25	works	work	VERB
atpp-1104	6	26	on	on	ADP
atpp-1104	6	27	students	student	NOUN
atpp-1104	6	28	’	'	PUNCT
atpp-1104	6	29	learning	learning	NOUN
atpp-1104	6	30	of	of	ADP
atpp-1104	6	31	mathematics	mathematic	NOUN
atpp-1104	6	32	by	by	ADP
atpp-1104	6	33	paying	pay	VERB
atpp-1104	6	34	attention	attention	NOUN
atpp-1104	6	35	to	to	ADP
atpp-1104	6	36	the	the	DET
atpp-1104	6	37	following	following	NOUN
atpp-1104	6	38	:	:	PUNCT
atpp-1104	6	39	firstly	firstly	ADV
atpp-1104	6	40	,	,	PUNCT
atpp-1104	6	41	the	the	DET
atpp-1104	6	42	representation	representation	NOUN
atpp-1104	6	43	of	of	ADP
atpp-1104	6	44	mathematical	mathematical	ADJ
atpp-1104	6	45	knowledge	knowledge	NOUN
atpp-1104	6	46	;	;	PUNCT
atpp-1104	6	47	secondly	secondly	ADV
atpp-1104	6	48	,	,	PUNCT
atpp-1104	6	49	the	the	DET
atpp-1104	6	50	students	student	NOUN
atpp-1104	6	51	’	’	PART
atpp-1104	6	52	mental	mental	ADJ
atpp-1104	6	53	processes	process	NOUN
atpp-1104	6	54	of	of	ADP
atpp-1104	6	55	learning	learning	NOUN
atpp-1104	6	56	;	;	PUNCT
atpp-1104	6	57	and	and	CCONJ
atpp-1104	6	58	finally	finally	ADV
atpp-1104	6	59	,	,	PUNCT
atpp-1104	6	60	the	the	DET
atpp-1104	6	61	instructional	instructional	ADJ
atpp-1104	6	62	media	medium	NOUN
atpp-1104	6	63	within	within	ADP
atpp-1104	6	64	which	which	PRON
atpp-1104	6	65	teachers	teacher	NOUN
atpp-1104	6	66	and	and	CCONJ
atpp-1104	6	67	students	student	NOUN
atpp-1104	6	68	interact	interact	VERB
atpp-1104	6	69	(	(	PUNCT
atpp-1104	6	70	cohen	cohen	NOUN
atpp-1104	6	71	,	,	PUNCT
atpp-1104	6	72	2011	2011	NUM
atpp-1104	6	73	)	)	PUNCT
atpp-1104	6	74	.	.	PUNCT
atpp-1104	7	1	this	this	PRON
atpp-1104	7	2	is	be	AUX
atpp-1104	7	3	exemplified	exemplify	VERB
atpp-1104	7	4	by	by	ADP
atpp-1104	7	5	herbst	herbst	PROPN
atpp-1104	7	6	et.al	et.al	PROPN
atpp-1104	7	7	.	.	PUNCT
atpp-1104	8	1	(	(	PUNCT
atpp-1104	8	2	2010	2010	NUM
atpp-1104	8	3	)	)	PUNCT
atpp-1104	8	4	,	,	PUNCT
atpp-1104	8	5	where	where	SCONJ
atpp-1104	8	6	in	in	ADP
atpp-1104	8	7	practice	practice	NOUN
atpp-1104	8	8	,	,	PUNCT
atpp-1104	8	9	the	the	DET
atpp-1104	8	10	representation	representation	NOUN
atpp-1104	8	11	of	of	ADP
atpp-1104	8	12	mathematical	mathematical	ADJ
atpp-1104	8	13	knowledge	knowledge	NOUN
atpp-1104	8	14	includes	include	VERB
atpp-1104	8	15	teaching	teaching	NOUN
atpp-1104	8	16	tasks	task	NOUN
atpp-1104	8	17	where	where	SCONJ
atpp-1104	8	18	examples	example	NOUN
atpp-1104	8	19	of	of	ADP
atpp-1104	8	20	mathematical	mathematical	ADJ
atpp-1104	8	21	ideas	idea	NOUN
atpp-1104	8	22	are	be	AUX
atpp-1104	8	23	selected	select	VERB
atpp-1104	8	24	and	and	CCONJ
atpp-1104	8	25	mathematical	mathematical	ADJ
atpp-1104	8	26	statements	statement	NOUN
atpp-1104	8	27	formulated	formulate	VERB
atpp-1104	8	28	;	;	PUNCT
atpp-1104	8	29	thus	thus	ADV
atpp-1104	8	30	,	,	PUNCT
atpp-1104	8	31	providing	provide	VERB
atpp-1104	8	32	mathematically	mathematically	ADV
atpp-1104	8	33	persuasive	persuasive	ADJ
atpp-1104	8	34	explanations	explanation	NOUN
atpp-1104	8	35	and	and	CCONJ
atpp-1104	8	36	choosing	choose	VERB
atpp-1104	8	37	problems	problem	NOUN
atpp-1104	8	38	for	for	ADP
atpp-1104	8	39	students	student	NOUN
atpp-1104	8	40	which	which	PRON
atpp-1104	8	41	promote	promote	VERB
atpp-1104	8	42	the	the	DET
atpp-1104	8	43	understanding	understanding	NOUN
atpp-1104	8	44	of	of	ADP
atpp-1104	8	45	target	target	NOUN
atpp-1104	8	46	mathematical	mathematical	ADJ
atpp-1104	8	47	concepts	concept	NOUN
atpp-1104	8	48	and	and	CCONJ
atpp-1104	8	49	more	more	ADJ
atpp-1104	8	50	.	.	PUNCT
atpp-1104	9	1	being	be	AUX
atpp-1104	9	2	aware	aware	ADJ
atpp-1104	9	3	of	of	ADP
atpp-1104	9	4	the	the	DET
atpp-1104	9	5	students	student	NOUN
atpp-1104	9	6	’	’	PART
atpp-1104	9	7	mental	mental	ADJ
atpp-1104	9	8	processes	process	NOUN
atpp-1104	9	9	of	of	ADP
atpp-1104	9	10	learning	learning	NOUN
atpp-1104	9	11	includes	include	VERB
atpp-1104	9	12	teaching	teaching	NOUN
atpp-1104	9	13	techniques	technique	NOUN
atpp-1104	9	14	,	,	PUNCT
atpp-1104	9	15	for	for	ADP
atpp-1104	9	16	example	example	NOUN
atpp-1104	9	17	,	,	PUNCT
atpp-1104	9	18	eliciting	elicit	VERB
atpp-1104	9	19	students	student	NOUN
atpp-1104	9	20	’	'	PUNCT
atpp-1104	9	21	thinking	thinking	NOUN
atpp-1104	9	22	,	,	PUNCT
atpp-1104	9	23	interpreting	interpret	VERB
atpp-1104	9	24	students	student	NOUN
atpp-1104	9	25	’	’	PART
atpp-1104	9	26	conceptions	conception	NOUN
atpp-1104	9	27	and	and	CCONJ
atpp-1104	9	28	identifying	identify	VERB
atpp-1104	9	29	errors	error	NOUN
atpp-1104	9	30	,	,	PUNCT
atpp-1104	9	31	etc	etc	X
atpp-1104	9	32	.	.	X
atpp-1104	9	33	,	,	PUNCT
atpp-1104	9	34	while	while	SCONJ
atpp-1104	9	35	simultaneously	simultaneously	ADV
atpp-1104	9	36	dealing	deal	VERB
atpp-1104	9	37	with	with	ADP
atpp-1104	9	38	the	the	DET
atpp-1104	9	39	instructional	instructional	ADJ
atpp-1104	9	40	media	medium	NOUN
atpp-1104	9	41	and	and	CCONJ
atpp-1104	9	42	handling	handle	VERB
atpp-1104	9	43	a	a	DET
atpp-1104	9	44	number	number	NOUN
atpp-1104	9	45	of	of	ADP
atpp-1104	9	46	diverse	diverse	ADJ
atpp-1104	9	47	teaching	teaching	NOUN
atpp-1104	9	48	skills	skill	NOUN
atpp-1104	9	49	and	and	CCONJ
atpp-1104	9	50	techniques	technique	NOUN
atpp-1104	9	51	associated	associate	VERB
atpp-1104	9	52	with	with	ADP
atpp-1104	9	53	interpersonal	interpersonal	ADJ
atpp-1104	9	54	dynamics	dynamic	NOUN
atpp-1104	9	55	and	and	CCONJ
atpp-1104	9	56	communication	communication	NOUN
atpp-1104	9	57	.	.	PUNCT
atpp-1104	10	1	this	this	PRON
atpp-1104	10	2	also	also	ADV
atpp-1104	10	3	includes	include	VERB
atpp-1104	10	4	handling	handle	VERB
atpp-1104	10	5	the	the	DET
atpp-1104	10	6	limitations	limitation	NOUN
atpp-1104	10	7	and	and	CCONJ
atpp-1104	10	8	constraints	constraint	NOUN
atpp-1104	10	9	of	of	ADP
atpp-1104	10	10	the	the	DET
atpp-1104	10	11	institution	institution	NOUN
atpp-1104	10	12	where	where	SCONJ
atpp-1104	10	13	the	the	DET
atpp-1104	10	14	teaching	teaching	NOUN
atpp-1104	10	15	and	and	CCONJ
atpp-1104	10	16	learning	learning	NOUN
atpp-1104	10	17	activities	activity	NOUN
atpp-1104	10	18	are	be	AUX
atpp-1104	10	19	taking	take	VERB
atpp-1104	10	20	place	place	NOUN
atpp-1104	10	21	.	.	PUNCT
atpp-1104	11	1	the	the	DET
atpp-1104	11	2	important	important	ADJ
atpp-1104	11	3	question	question	NOUN
atpp-1104	11	4	is	be	AUX
atpp-1104	11	5	,	,	PUNCT
atpp-1104	11	6	to	to	PART
atpp-1104	11	7	discover	discover	VERB
atpp-1104	11	8	the	the	DET
atpp-1104	11	9	purpose	purpose	NOUN
atpp-1104	11	10	of	of	ADP
atpp-1104	11	11	teaching	teach	VERB
atpp-1104	11	12	mathematics	mathematic	NOUN
atpp-1104	11	13	in	in	ADP
atpp-1104	11	14	our	our	PRON
atpp-1104	11	15	schools	school	NOUN
atpp-1104	11	16	,	,	PUNCT
atpp-1104	11	17	and	and	CCONJ
atpp-1104	11	18	the	the	DET
atpp-1104	11	19	answer	answer	NOUN
atpp-1104	11	20	to	to	ADP
atpp-1104	11	21	this	this	DET
atpp-1104	11	22	question	question	NOUN
atpp-1104	11	23	,	,	PUNCT
atpp-1104	11	24	implicitly	implicitly	ADV
atpp-1104	11	25	or	or	CCONJ
atpp-1104	11	26	explicitly	explicitly	ADV
atpp-1104	11	27	,	,	PUNCT
atpp-1104	11	28	guides	guide	VERB
atpp-1104	11	29	the	the	DET
atpp-1104	11	30	work	work	NOUN
atpp-1104	11	31	of	of	ADP
atpp-1104	11	32	the	the	DET
atpp-1104	11	33	mathematics	mathematics	NOUN
atpp-1104	11	34	teacher	teacher	NOUN
atpp-1104	11	35	.	.	PUNCT
atpp-1104	12	1	the	the	DET
atpp-1104	12	2	why	why	SCONJ
atpp-1104	12	3	stems	stem	VERB
atpp-1104	12	4	from	from	ADP
atpp-1104	12	5	the	the	DET
atpp-1104	12	6	viewpoint	viewpoint	NOUN
atpp-1104	12	7	of	of	ADP
atpp-1104	12	8	mathematics	mathematic	NOUN
atpp-1104	12	9	as	as	ADP
atpp-1104	12	10	a	a	DET
atpp-1104	12	11	discipline	discipline	NOUN
atpp-1104	12	12	and	and	CCONJ
atpp-1104	12	13	a	a	DET
atpp-1104	12	14	subject	subject	NOUN
atpp-1104	12	15	to	to	PART
atpp-1104	12	16	be	be	AUX
atpp-1104	12	17	learned	learn	VERB
atpp-1104	12	18	,	,	PUNCT
atpp-1104	12	19	in	in	ADP
atpp-1104	12	20	addition	addition	NOUN
atpp-1104	12	21	to	to	ADP
atpp-1104	12	22	the	the	DET
atpp-1104	12	23	perception	perception	NOUN
atpp-1104	12	24	of	of	ADP
atpp-1104	12	25	its	its	PRON
atpp-1104	12	26	role	role	NOUN
atpp-1104	12	27	and	and	CCONJ
atpp-1104	12	28	purpose	purpose	NOUN
atpp-1104	12	29	in	in	ADP
atpp-1104	12	30	society	society	NOUN
atpp-1104	12	31	.	.	PUNCT
atpp-1104	13	1	such	such	ADJ
atpp-1104	13	2	points	point	NOUN
atpp-1104	13	3	of	of	ADP
atpp-1104	13	4	view	view	NOUN
atpp-1104	13	5	may	may	AUX
atpp-1104	13	6	be	be	AUX
atpp-1104	13	7	spontaneous	spontaneous	ADJ
atpp-1104	13	8	and	and	CCONJ
atpp-1104	13	9	somewhat	somewhat	ADV
atpp-1104	13	10	incoherent	incoherent	ADJ
atpp-1104	13	11	;	;	PUNCT
atpp-1104	13	12	however	however	ADV
atpp-1104	13	13	,	,	PUNCT
atpp-1104	13	14	they	they	PRON
atpp-1104	13	15	do	do	AUX
atpp-1104	13	16	,	,	PUNCT
atpp-1104	13	17	in	in	ADP
atpp-1104	13	18	fact	fact	NOUN
atpp-1104	13	19	,	,	PUNCT
atpp-1104	13	20	exist	exist	VERB
atpp-1104	13	21	and	and	CCONJ
atpp-1104	13	22	affect	affect	VERB
atpp-1104	13	23	the	the	DET
atpp-1104	13	24	activities	activity	NOUN
atpp-1104	13	25	of	of	ADP
atpp-1104	13	26	mathematics	mathematic	NOUN
atpp-1104	13	27	teachers	teacher	NOUN
atpp-1104	13	28	.	.	PUNCT
atpp-1104	14	1	analytic	analytic	ADJ
atpp-1104	14	2	teaching	teaching	NOUN
atpp-1104	14	3	and	and	CCONJ
atpp-1104	14	4	philosophical	philosophical	ADJ
atpp-1104	14	5	praxis	praxis	ADJ
atpp-1104	14	6	vol	vol	NOUN
atpp-1104	14	7	.	.	PUNCT
atpp-1104	15	1	34	34	NUM
atpp-1104	15	2	issue	issue	NOUN
atpp-1104	15	3	1	1	NUM
atpp-1104	15	4	70	70	NUM
atpp-1104	15	5	with	with	ADP
atpp-1104	15	6	reference	reference	NOUN
atpp-1104	15	7	to	to	ADP
atpp-1104	15	8	the	the	DET
atpp-1104	15	9	above	above	NOUN
atpp-1104	15	10	,	,	PUNCT
atpp-1104	15	11	it	it	PRON
atpp-1104	15	12	may	may	AUX
atpp-1104	15	13	be	be	AUX
atpp-1104	15	14	asserted	assert	VERB
atpp-1104	15	15	that	that	SCONJ
atpp-1104	15	16	there	there	PRON
atpp-1104	15	17	is	be	VERB
atpp-1104	15	18	a	a	DET
atpp-1104	15	19	direct	direct	ADJ
atpp-1104	15	20	association	association	NOUN
atpp-1104	15	21	of	of	ADP
atpp-1104	15	22	a	a	DET
atpp-1104	15	23	philosophy	philosophy	NOUN
atpp-1104	15	24	of	of	ADP
atpp-1104	15	25	mathematics	mathematic	NOUN
atpp-1104	15	26	adopted	adopt	VERB
atpp-1104	15	27	by	by	ADP
atpp-1104	15	28	mathematics	mathematic	NOUN
atpp-1104	15	29	teachers	teacher	NOUN
atpp-1104	15	30	which	which	PRON
atpp-1104	15	31	will	will	AUX
atpp-1104	15	32	be	be	AUX
atpp-1104	15	33	combined	combine	VERB
atpp-1104	15	34	with	with	ADP
atpp-1104	15	35	fundamental	fundamental	ADJ
atpp-1104	15	36	features	feature	NOUN
atpp-1104	15	37	of	of	ADP
atpp-1104	15	38	their	their	PRON
atpp-1104	15	39	teaching	teaching	NOUN
atpp-1104	15	40	practices	practice	NOUN
atpp-1104	15	41	.	.	PUNCT
atpp-1104	16	1	over	over	ADP
atpp-1104	16	2	forty	forty	NUM
atpp-1104	16	3	years	year	NOUN
atpp-1104	16	4	ago	ago	ADV
atpp-1104	16	5	,	,	PUNCT
atpp-1104	16	6	thom	thom	PROPN
atpp-1104	16	7	claimed	claim	VERB
atpp-1104	16	8	that	that	SCONJ
atpp-1104	16	9	a	a	DET
atpp-1104	16	10	philosophy	philosophy	NOUN
atpp-1104	16	11	of	of	ADP
atpp-1104	16	12	mathematics	mathematic	NOUN
atpp-1104	16	13	has	have	VERB
atpp-1104	16	14	powerful	powerful	ADJ
atpp-1104	16	15	implications	implication	NOUN
atpp-1104	16	16	for	for	ADP
atpp-1104	16	17	educational	educational	ADJ
atpp-1104	16	18	practice	practice	NOUN
atpp-1104	16	19	,	,	PUNCT
atpp-1104	16	20	pointing	point	VERB
atpp-1104	16	21	out	out	ADP
atpp-1104	16	22	that	that	SCONJ
atpp-1104	16	23	:	:	PUNCT
atpp-1104	16	24	“	"	PUNCT
atpp-1104	16	25	in	in	ADP
atpp-1104	16	26	fact	fact	NOUN
atpp-1104	16	27	,	,	PUNCT
atpp-1104	16	28	whether	whether	SCONJ
atpp-1104	16	29	one	one	PRON
atpp-1104	16	30	wishes	wish	VERB
atpp-1104	16	31	it	it	PRON
atpp-1104	16	32	or	or	CCONJ
atpp-1104	16	33	not	not	PART
atpp-1104	16	34	,	,	PUNCT
atpp-1104	16	35	all	all	DET
atpp-1104	16	36	mathematical	mathematical	ADJ
atpp-1104	16	37	pedagogy	pedagogy	NOUN
atpp-1104	16	38	,	,	PUNCT
atpp-1104	16	39	even	even	ADV
atpp-1104	16	40	if	if	SCONJ
atpp-1104	16	41	scarcely	scarcely	ADV
atpp-1104	16	42	coherent	coherent	ADJ
atpp-1104	16	43	,	,	PUNCT
atpp-1104	16	44	rests	rest	VERB
atpp-1104	16	45	on	on	ADP
atpp-1104	16	46	a	a	DET
atpp-1104	16	47	philosophy	philosophy	NOUN
atpp-1104	16	48	of	of	ADP
atpp-1104	16	49	mathematics	mathematic	NOUN
atpp-1104	16	50	”	"	PUNCT
atpp-1104	16	51	(	(	PUNCT
atpp-1104	16	52	thom	thom	NOUN
atpp-1104	16	53	,	,	PUNCT
atpp-1104	16	54	1973	1973	NUM
atpp-1104	16	55	,	,	PUNCT
atpp-1104	16	56	p.204	p.204	NUM
atpp-1104	16	57	)	)	PUNCT
atpp-1104	16	58	,	,	PUNCT
atpp-1104	16	59	and	and	CCONJ
atpp-1104	16	60	following	follow	VERB
atpp-1104	16	61	this	this	DET
atpp-1104	16	62	claim	claim	NOUN
atpp-1104	16	63	,	,	PUNCT
atpp-1104	16	64	hersh	hersh	PROPN
atpp-1104	16	65	emphasised	emphasise	VERB
atpp-1104	16	66	that	that	SCONJ
atpp-1104	16	67	:	:	PUNCT
atpp-1104	16	68	one	one	NUM
atpp-1104	16	69	’s	’s	PART
atpp-1104	16	70	conception	conception	NOUN
atpp-1104	16	71	of	of	ADP
atpp-1104	16	72	what	what	PRON
atpp-1104	16	73	mathematics	mathematic	NOUN
atpp-1104	16	74	is	be	AUX
atpp-1104	16	75	affects	affect	VERB
atpp-1104	16	76	one	one	NUM
atpp-1104	16	77	’s	’s	PART
atpp-1104	16	78	conception	conception	NOUN
atpp-1104	16	79	of	of	ADP
atpp-1104	16	80	how	how	SCONJ
atpp-1104	16	81	it	it	PRON
atpp-1104	16	82	should	should	AUX
atpp-1104	16	83	be	be	AUX
atpp-1104	16	84	pre	pre	AUX
atpp-1104	16	85	sented	sente	VERB
atpp-1104	16	86	.	.	PUNCT
atpp-1104	17	1	one	one	NUM
atpp-1104	17	2	’s	’s	PART
atpp-1104	17	3	manner	manner	NOUN
atpp-1104	17	4	of	of	ADP
atpp-1104	17	5	presenting	present	VERB
atpp-1104	17	6	it	it	PRON
atpp-1104	17	7	is	be	AUX
atpp-1104	17	8	an	an	DET
atpp-1104	17	9	indication	indication	NOUN
atpp-1104	17	10	of	of	ADP
atpp-1104	17	11	what	what	PRON
atpp-1104	17	12	one	one	PRON
atpp-1104	17	13	believes	believe	VERB
atpp-1104	17	14	to	to	PART
atpp-1104	17	15	be	be	AUX
atpp-1104	17	16	most	most	ADV
atpp-1104	17	17	essential	essential	ADJ
atpp-1104	17	18	in	in	ADP
atpp-1104	17	19	it	it	PRON
atpp-1104	17	20	.	.	PUNCT
atpp-1104	18	1	…	…	PUNCT
atpp-1104	18	2	the	the	DET
atpp-1104	18	3	issue	issue	NOUN
atpp-1104	18	4	,	,	PUNCT
atpp-1104	18	5	then	then	ADV
atpp-1104	18	6	,	,	PUNCT
atpp-1104	18	7	is	be	AUX
atpp-1104	18	8	not	not	PART
atpp-1104	18	9	,	,	PUNCT
atpp-1104	18	10	what	what	PRON
atpp-1104	18	11	is	be	AUX
atpp-1104	18	12	the	the	DET
atpp-1104	18	13	best	good	ADJ
atpp-1104	18	14	way	way	NOUN
atpp-1104	18	15	to	to	PART
atpp-1104	18	16	teach	teach	VERB
atpp-1104	18	17	?	?	PUNCT
atpp-1104	19	1	but	but	CCONJ
atpp-1104	19	2	,	,	PUNCT
atpp-1104	19	3	what	what	PRON
atpp-1104	19	4	is	be	AUX
atpp-1104	19	5	mathematics	mathematic	NOUN
atpp-1104	19	6	really	really	ADV
atpp-1104	19	7	about	about	ADP
atpp-1104	19	8	?	?	PUNCT
atpp-1104	20	1	…	…	PUNCT
atpp-1104	20	2	”	"	PUNCT
atpp-1104	20	3	(	(	PUNCT
atpp-1104	20	4	hersh	hersh	PROPN
atpp-1104	20	5	,	,	PUNCT
atpp-1104	20	6	1979	1979	NUM
atpp-1104	20	7	,	,	PUNCT
atpp-1104	20	8	p.33	p.33	PROPN
atpp-1104	20	9	)	)	PUNCT
atpp-1104	20	10	.	.	PUNCT
atpp-1104	21	1	nowadays	nowadays	ADV
atpp-1104	21	2	,	,	PUNCT
atpp-1104	21	3	it	it	PRON
atpp-1104	21	4	is	be	AUX
atpp-1104	21	5	widely	widely	ADV
atpp-1104	21	6	accepted	accept	VERB
atpp-1104	21	7	,	,	PUNCT
atpp-1104	21	8	both	both	PRON
atpp-1104	21	9	on	on	ADP
atpp-1104	21	10	a	a	DET
atpp-1104	21	11	philosophical	philosophical	ADJ
atpp-1104	21	12	level	level	NOUN
atpp-1104	21	13	(	(	PUNCT
atpp-1104	21	14	lerman	lerman	NOUN
atpp-1104	21	15	,	,	PUNCT
atpp-1104	21	16	1983	1983	NUM
atpp-1104	21	17	,	,	PUNCT
atpp-1104	21	18	1990	1990	NUM
atpp-1104	21	19	;	;	PUNCT
atpp-1104	21	20	steiner	steiner	NOUN
atpp-1104	21	21	,	,	PUNCT
atpp-1104	21	22	1987	1987	NUM
atpp-1104	21	23	;	;	PUNCT
atpp-1104	21	24	ernest	ernest	PROPN
atpp-1104	21	25	,	,	PUNCT
atpp-1104	21	26	1989	1989	NUM
atpp-1104	21	27	)	)	PUNCT
atpp-1104	21	28	and	and	CCONJ
atpp-1104	21	29	on	on	ADP
atpp-1104	21	30	the	the	DET
atpp-1104	21	31	basis	basis	NOUN
atpp-1104	21	32	of	of	ADP
atpp-1104	21	33	empirical	empirical	ADJ
atpp-1104	21	34	evidence	evidence	NOUN
atpp-1104	21	35	,	,	PUNCT
atpp-1104	21	36	(	(	PUNCT
atpp-1104	21	37	thompson	thompson	NOUN
atpp-1104	21	38	,	,	PUNCT
atpp-1104	21	39	1984	1984	NUM
atpp-1104	21	40	,	,	PUNCT
atpp-1104	21	41	1992	1992	NUM
atpp-1104	21	42	)	)	PUNCT
atpp-1104	21	43	that	that	SCONJ
atpp-1104	21	44	teachers	teacher	NOUN
atpp-1104	21	45	’	'	PUNCT
atpp-1104	21	46	assumptions	assumption	NOUN
atpp-1104	21	47	about	about	ADP
atpp-1104	21	48	mathematics	mathematic	NOUN
atpp-1104	21	49	and	and	CCONJ
atpp-1104	21	50	its	its	PRON
atpp-1104	21	51	learning	learning	NOUN
atpp-1104	21	52	and	and	CCONJ
atpp-1104	21	53	teaching	teaching	NOUN
atpp-1104	21	54	,	,	PUNCT
atpp-1104	21	55	implicitly	implicitly	ADV
atpp-1104	21	56	reflect	reflect	VERB
atpp-1104	21	57	,	,	PUNCT
atpp-1104	21	58	or	or	CCONJ
atpp-1104	21	59	are	be	AUX
atpp-1104	21	60	related	relate	VERB
atpp-1104	21	61	to	to	ADP
atpp-1104	21	62	,	,	PUNCT
atpp-1104	21	63	a	a	DET
atpp-1104	21	64	philosophy	philosophy	NOUN
atpp-1104	21	65	of	of	ADP
atpp-1104	21	66	mathematics	mathematic	NOUN
atpp-1104	21	67	.	.	PUNCT
atpp-1104	22	1	in	in	ADP
atpp-1104	22	2	their	their	PRON
atpp-1104	22	3	turn	turn	NOUN
atpp-1104	22	4	,	,	PUNCT
atpp-1104	22	5	these	these	DET
atpp-1104	22	6	assumptions	assumption	NOUN
atpp-1104	22	7	play	play	VERB
atpp-1104	22	8	a	a	DET
atpp-1104	22	9	significant	significant	ADJ
atpp-1104	22	10	role	role	NOUN
atpp-1104	22	11	in	in	ADP
atpp-1104	22	12	shaping	shape	VERB
atpp-1104	22	13	characteristic	characteristic	ADJ
atpp-1104	22	14	patterns	pattern	NOUN
atpp-1104	22	15	of	of	ADP
atpp-1104	22	16	their	their	PRON
atpp-1104	22	17	teaching	teaching	NOUN
atpp-1104	22	18	practices	practice	NOUN
atpp-1104	22	19	.	.	PUNCT
atpp-1104	23	1	firstly	firstly	ADV
atpp-1104	23	2	,	,	PUNCT
atpp-1104	23	3	they	they	PRON
atpp-1104	23	4	include	include	VERB
atpp-1104	23	5	the	the	DET
atpp-1104	23	6	origins	origin	NOUN
atpp-1104	23	7	of	of	ADP
atpp-1104	23	8	mathematical	mathematical	ADJ
atpp-1104	23	9	knowledge	knowledge	NOUN
atpp-1104	23	10	and	and	CCONJ
atpp-1104	23	11	the	the	DET
atpp-1104	23	12	nature	nature	NOUN
atpp-1104	23	13	of	of	ADP
atpp-1104	23	14	this	this	DET
atpp-1104	23	15	knowledge	knowledge	NOUN
atpp-1104	23	16	as	as	ADP
atpp-1104	23	17	a	a	DET
atpp-1104	23	18	discipline	discipline	NOUN
atpp-1104	23	19	.	.	PUNCT
atpp-1104	24	1	this	this	PRON
atpp-1104	24	2	is	be	AUX
atpp-1104	24	3	followed	follow	VERB
atpp-1104	24	4	by	by	ADP
atpp-1104	24	5	the	the	DET
atpp-1104	24	6	nature	nature	NOUN
atpp-1104	24	7	of	of	ADP
atpp-1104	24	8	mathematical	mathematical	ADJ
atpp-1104	24	9	problems	problem	NOUN
atpp-1104	24	10	and	and	CCONJ
atpp-1104	24	11	tasks	task	NOUN
atpp-1104	24	12	and	and	CCONJ
atpp-1104	24	13	the	the	DET
atpp-1104	24	14	relationships	relationship	NOUN
atpp-1104	24	15	between	between	ADP
atpp-1104	24	16	mathematical	mathematical	ADJ
atpp-1104	24	17	knowledge	knowledge	NOUN
atpp-1104	24	18	and	and	CCONJ
atpp-1104	24	19	empirical	empirical	ADJ
atpp-1104	24	20	reality	reality	NOUN
atpp-1104	24	21	,	,	PUNCT
atpp-1104	24	22	particularly	particularly	ADV
atpp-1104	24	23	in	in	ADP
atpp-1104	24	24	terms	term	NOUN
atpp-1104	24	25	of	of	ADP
atpp-1104	24	26	the	the	DET
atpp-1104	24	27	applicability	applicability	NOUN
atpp-1104	24	28	and	and	CCONJ
atpp-1104	24	29	utility	utility	NOUN
atpp-1104	24	30	of	of	ADP
atpp-1104	24	31	mathematical	mathematical	ADJ
atpp-1104	24	32	knowledge	knowledge	NOUN
atpp-1104	24	33	and	and	CCONJ
atpp-1104	24	34	its	its	PRON
atpp-1104	24	35	nature	nature	NOUN
atpp-1104	24	36	as	as	ADP
atpp-1104	24	37	a	a	DET
atpp-1104	24	38	subject	subject	NOUN
atpp-1104	24	39	taught	teach	VERB
atpp-1104	24	40	in	in	ADP
atpp-1104	24	41	schools	school	NOUN
atpp-1104	24	42	(	(	PUNCT
atpp-1104	24	43	törner	törner	NOUN
atpp-1104	24	44	,	,	PUNCT
atpp-1104	24	45	1996	1996	NUM
atpp-1104	24	46	)	)	PUNCT
atpp-1104	24	47	.	.	PUNCT
atpp-1104	25	1	added	add	VERB
atpp-1104	25	2	to	to	ADP
atpp-1104	25	3	this	this	PRON
atpp-1104	25	4	is	be	AUX
atpp-1104	25	5	the	the	DET
atpp-1104	25	6	notion	notion	NOUN
atpp-1104	25	7	of	of	ADP
atpp-1104	25	8	the	the	DET
atpp-1104	25	9	teacher	teacher	NOUN
atpp-1104	25	10	as	as	ADP
atpp-1104	25	11	a	a	DET
atpp-1104	25	12	learner	learner	NOUN
atpp-1104	25	13	and	and	CCONJ
atpp-1104	25	14	user	user	NOUN
atpp-1104	25	15	of	of	ADP
atpp-1104	25	16	mathematics	mathematic	NOUN
atpp-1104	25	17	and	and	CCONJ
atpp-1104	25	18	more	more	ADV
atpp-1104	25	19	generally	generally	ADV
atpp-1104	25	20	,	,	PUNCT
atpp-1104	25	21	opinions	opinion	NOUN
atpp-1104	25	22	about	about	ADP
atpp-1104	25	23	the	the	DET
atpp-1104	25	24	process	process	NOUN
atpp-1104	25	25	of	of	ADP
atpp-1104	25	26	learning	learn	VERB
atpp-1104	25	27	mathematics	mathematics	PROPN
atpp-1104	25	28	(	(	PUNCT
atpp-1104	25	29	ernest	ernest	PROPN
atpp-1104	25	30	,	,	PUNCT
atpp-1104	25	31	1989	1989	NUM
atpp-1104	25	32	;	;	PUNCT
atpp-1104	25	33	pehkonen	pehkonen	NOUN
atpp-1104	25	34	,	,	PUNCT
atpp-1104	25	35	1994	1994	NUM
atpp-1104	25	36	)	)	PUNCT
atpp-1104	25	37	.	.	PUNCT
atpp-1104	26	1	therefore	therefore	ADV
atpp-1104	26	2	,	,	PUNCT
atpp-1104	26	3	what	what	PRON
atpp-1104	26	4	teachers	teacher	NOUN
atpp-1104	26	5	believe	believe	VERB
atpp-1104	26	6	about	about	ADP
atpp-1104	26	7	mathematics	mathematic	NOUN
atpp-1104	26	8	reflects	reflect	VERB
atpp-1104	26	9	,	,	PUNCT
atpp-1104	26	10	or	or	CCONJ
atpp-1104	26	11	is	be	AUX
atpp-1104	26	12	related	relate	VERB
atpp-1104	26	13	to	to	ADP
atpp-1104	26	14	,	,	PUNCT
atpp-1104	26	15	a	a	DET
atpp-1104	26	16	philosophy	philosophy	NOUN
atpp-1104	26	17	of	of	ADP
atpp-1104	26	18	mathematics	mathematic	NOUN
atpp-1104	26	19	and	and	CCONJ
atpp-1104	26	20	,	,	PUNCT
atpp-1104	26	21	in	in	ADP
atpp-1104	26	22	fact	fact	NOUN
atpp-1104	26	23	,	,	PUNCT
atpp-1104	26	24	constitutes	constitute	VERB
atpp-1104	26	25	a	a	DET
atpp-1104	26	26	kind	kind	NOUN
atpp-1104	26	27	of	of	ADP
atpp-1104	26	28	a	a	DET
atpp-1104	26	29	practical	practical	ADJ
atpp-1104	26	30	philosophy	philosophy	NOUN
atpp-1104	26	31	of	of	ADP
atpp-1104	26	32	mathematics	mathematic	NOUN
atpp-1104	26	33	.	.	PUNCT
atpp-1104	27	1	this	this	PRON
atpp-1104	27	2	,	,	PUNCT
atpp-1104	27	3	as	as	ADP
atpp-1104	27	4	a	a	DET
atpp-1104	27	5	complex	complex	ADJ
atpp-1104	27	6	,	,	PUNCT
atpp-1104	27	7	practically	practically	ADV
atpp-1104	27	8	-	-	PUNCT
atpp-1104	27	9	oriented	orient	VERB
atpp-1104	27	10	set	set	NOUN
atpp-1104	27	11	of	of	ADP
atpp-1104	27	12	understandings	understanding	NOUN
atpp-1104	27	13	,	,	PUNCT
atpp-1104	27	14	regulates	regulate	VERB
atpp-1104	27	15	and	and	CCONJ
atpp-1104	27	16	shapes	shape	NOUN
atpp-1104	27	17	to	to	ADP
atpp-1104	27	18	a	a	DET
atpp-1104	27	19	great	great	ADJ
atpp-1104	27	20	extent	extent	NOUN
atpp-1104	27	21	the	the	DET
atpp-1104	27	22	teachers	teacher	NOUN
atpp-1104	27	23	’	’	PART
atpp-1104	27	24	thoughts	thought	NOUN
atpp-1104	27	25	and	and	CCONJ
atpp-1104	27	26	practices	practice	NOUN
atpp-1104	27	27	within	within	ADP
atpp-1104	27	28	the	the	DET
atpp-1104	27	29	classroom	classroom	NOUN
atpp-1104	27	30	;	;	PUNCT
atpp-1104	27	31	it	it	PRON
atpp-1104	27	32	is	be	AUX
atpp-1104	27	33	however	however	ADV
atpp-1104	27	34	,	,	PUNCT
atpp-1104	27	35	subject	subject	ADJ
atpp-1104	27	36	to	to	ADP
atpp-1104	27	37	the	the	DET
atpp-1104	27	38	constraints	constraint	NOUN
atpp-1104	27	39	and	and	CCONJ
atpp-1104	27	40	contingencies	contingency	NOUN
atpp-1104	27	41	of	of	ADP
atpp-1104	27	42	the	the	DET
atpp-1104	27	43	school	school	NOUN
atpp-1104	27	44	context	context	NOUN
atpp-1104	27	45	.	.	PUNCT
atpp-1104	28	1	moreover	moreover	ADV
atpp-1104	28	2	,	,	PUNCT
atpp-1104	28	3	the	the	DET
atpp-1104	28	4	teachers	teacher	NOUN
atpp-1104	28	5	’	’	PART
atpp-1104	28	6	practical	practical	ADJ
atpp-1104	28	7	philosophy	philosophy	NOUN
atpp-1104	28	8	of	of	ADP
atpp-1104	28	9	mathematics	mathematic	NOUN
atpp-1104	28	10	often	often	ADV
atpp-1104	28	11	takes	take	VERB
atpp-1104	28	12	precedence	precedence	NOUN
atpp-1104	28	13	over	over	ADP
atpp-1104	28	14	knowledge	knowledge	NOUN
atpp-1104	28	15	,	,	PUNCT
atpp-1104	28	16	shaping	shape	VERB
atpp-1104	28	17	the	the	DET
atpp-1104	28	18	interpretation	interpretation	NOUN
atpp-1104	28	19	of	of	ADP
atpp-1104	28	20	their	their	PRON
atpp-1104	28	21	received	receive	VERB
atpp-1104	28	22	knowledge	knowledge	NOUN
atpp-1104	28	23	and	and	CCONJ
atpp-1104	28	24	selectively	selectively	ADV
atpp-1104	28	25	admitting	admit	VERB
atpp-1104	28	26	or	or	CCONJ
atpp-1104	28	27	rejecting	reject	VERB
atpp-1104	28	28	new	new	ADJ
atpp-1104	28	29	knowledge	knowledge	NOUN
atpp-1104	28	30	.	.	PUNCT
atpp-1104	29	1	consequently	consequently	ADV
atpp-1104	29	2	,	,	PUNCT
atpp-1104	29	3	in	in	ADP
atpp-1104	29	4	assuming	assume	VERB
atpp-1104	29	5	a	a	DET
atpp-1104	29	6	connection	connection	NOUN
atpp-1104	29	7	between	between	ADP
atpp-1104	29	8	both	both	CCONJ
atpp-1104	29	9	a	a	DET
atpp-1104	29	10	philosophy	philosophy	NOUN
atpp-1104	29	11	of	of	ADP
atpp-1104	29	12	mathematics	mathematic	NOUN
atpp-1104	29	13	and	and	CCONJ
atpp-1104	29	14	mathematics	mathematic	NOUN
atpp-1104	29	15	teaching	teaching	NOUN
atpp-1104	29	16	practices	practice	NOUN
atpp-1104	29	17	,	,	PUNCT
atpp-1104	29	18	as	as	ADV
atpp-1104	29	19	well	well	ADV
atpp-1104	29	20	as	as	ADP
atpp-1104	29	21	a	a	DET
atpp-1104	29	22	philosophy	philosophy	NOUN
atpp-1104	29	23	of	of	ADP
atpp-1104	29	24	mathematics	mathematic	NOUN
atpp-1104	29	25	and	and	CCONJ
atpp-1104	29	26	teachers	teacher	NOUN
atpp-1104	29	27	’	’	PART
atpp-1104	29	28	philosophical	philosophical	ADJ
atpp-1104	29	29	and	and	CCONJ
atpp-1104	29	30	epistemological	epistemological	ADJ
atpp-1104	29	31	view	view	NOUN
atpp-1104	29	32	of	of	ADP
atpp-1104	29	33	mathematics	mathematic	NOUN
atpp-1104	29	34	,	,	PUNCT
atpp-1104	29	35	the	the	DET
atpp-1104	29	36	philosophy	philosophy	NOUN
atpp-1104	29	37	of	of	ADP
atpp-1104	29	38	mathematics	mathematic	NOUN
atpp-1104	29	39	per	per	X
atpp-1104	29	40	se	se	X
atpp-1104	29	41	would	would	AUX
atpp-1104	29	42	have	have	VERB
atpp-1104	29	43	to	to	PART
atpp-1104	29	44	be	be	AUX
atpp-1104	29	45	considered	consider	VERB
atpp-1104	29	46	as	as	ADP
atpp-1104	29	47	an	an	DET
atpp-1104	29	48	essential	essential	ADJ
atpp-1104	29	49	component	component	NOUN
atpp-1104	29	50	of	of	ADP
atpp-1104	29	51	teachers	teacher	NOUN
atpp-1104	29	52	’	'	PUNCT
atpp-1104	29	53	preparation	preparation	NOUN
atpp-1104	29	54	in	in	ADP
atpp-1104	29	55	order	order	NOUN
atpp-1104	29	56	to	to	PART
atpp-1104	29	57	introduce	introduce	VERB
atpp-1104	29	58	children	child	NOUN
atpp-1104	29	59	to	to	ADP
atpp-1104	29	60	the	the	DET
atpp-1104	29	61	culture	culture	NOUN
atpp-1104	29	62	of	of	ADP
atpp-1104	29	63	mathematics	mathematic	NOUN
atpp-1104	29	64	even	even	ADV
atpp-1104	29	65	in	in	ADP
atpp-1104	29	66	early	early	ADJ
atpp-1104	29	67	childhood	childhood	NOUN
atpp-1104	29	68	education	education	NOUN
atpp-1104	29	69	.	.	PUNCT
atpp-1104	30	1	the	the	DET
atpp-1104	30	2	aim	aim	NOUN
atpp-1104	30	3	is	be	AUX
atpp-1104	30	4	to	to	PART
atpp-1104	30	5	enable	enable	VERB
atpp-1104	30	6	teachers	teacher	NOUN
atpp-1104	30	7	to	to	PART
atpp-1104	30	8	develop	develop	VERB
atpp-1104	30	9	a	a	DET
atpp-1104	30	10	questioning	question	VERB
atpp-1104	30	11	stance	stance	NOUN
atpp-1104	30	12	towards	towards	ADP
atpp-1104	30	13	dominant	dominant	ADJ
atpp-1104	30	14	canons	canon	NOUN
atpp-1104	30	15	of	of	ADP
atpp-1104	30	16	mathematics	mathematic	NOUN
atpp-1104	30	17	education	education	NOUN
atpp-1104	30	18	and	and	CCONJ
atpp-1104	30	19	lead	lead	VERB
atpp-1104	30	20	them	they	PRON
atpp-1104	30	21	to	to	PART
atpp-1104	30	22	be	be	AUX
atpp-1104	30	23	able	able	ADJ
atpp-1104	30	24	to	to	PART
atpp-1104	30	25	reflect	reflect	VERB
atpp-1104	30	26	critically	critically	ADV
atpp-1104	30	27	on	on	ADP
atpp-1104	30	28	their	their	PRON
atpp-1104	30	29	personal	personal	ADJ
atpp-1104	30	30	didactical	didactical	ADJ
atpp-1104	30	31	practices	practice	NOUN
atpp-1104	30	32	.	.	PUNCT
atpp-1104	31	1	it	it	PRON
atpp-1104	31	2	is	be	AUX
atpp-1104	31	3	believed	believe	VERB
atpp-1104	31	4	that	that	SCONJ
atpp-1104	31	5	this	this	PRON
atpp-1104	31	6	will	will	AUX
atpp-1104	31	7	increase	increase	VERB
atpp-1104	31	8	their	their	PRON
atpp-1104	31	9	professional	professional	ADJ
atpp-1104	31	10	autonomy	autonomy	NOUN
atpp-1104	31	11	in	in	ADP
atpp-1104	31	12	teaching	teach	VERB
atpp-1104	31	13	mathematics	mathematic	NOUN
atpp-1104	31	14	and	and	CCONJ
atpp-1104	31	15	consequently	consequently	ADV
atpp-1104	31	16	is	be	AUX
atpp-1104	31	17	a	a	DET
atpp-1104	31	18	vitally	vitally	ADV
atpp-1104	31	19	important	important	ADJ
atpp-1104	31	20	part	part	NOUN
atpp-1104	31	21	of	of	ADP
atpp-1104	31	22	a	a	DET
atpp-1104	31	23	teachers	teacher	NOUN
atpp-1104	31	24	’	'	PUNCT
atpp-1104	31	25	preparation	preparation	NOUN
atpp-1104	31	26	.	.	PUNCT
atpp-1104	32	1	also	also	ADV
atpp-1104	32	2	of	of	ADP
atpp-1104	32	3	great	great	ADJ
atpp-1104	32	4	importance	importance	NOUN
atpp-1104	32	5	is	be	AUX
atpp-1104	32	6	the	the	DET
atpp-1104	32	7	necessity	necessity	NOUN
atpp-1104	32	8	to	to	PART
atpp-1104	32	9	create	create	VERB
atpp-1104	32	10	a	a	DET
atpp-1104	32	11	teachers	teacher	NOUN
atpp-1104	32	12	’	'	PUNCT
atpp-1104	32	13	preparation	preparation	NOUN
atpp-1104	32	14	which	which	PRON
atpp-1104	32	15	aims	aim	VERB
atpp-1104	32	16	to	to	PART
atpp-1104	32	17	support	support	VERB
atpp-1104	32	18	them	they	PRON
atpp-1104	32	19	,	,	PUNCT
atpp-1104	32	20	so	so	SCONJ
atpp-1104	32	21	that	that	SCONJ
atpp-1104	32	22	they	they	PRON
atpp-1104	32	23	can	can	AUX
atpp-1104	32	24	become	become	VERB
atpp-1104	32	25	reflective	reflective	ADJ
atpp-1104	32	26	practitioners	practitioner	NOUN
atpp-1104	32	27	.	.	PUNCT
atpp-1104	33	1	it	it	PRON
atpp-1104	33	2	is	be	AUX
atpp-1104	33	3	equally	equally	ADV
atpp-1104	33	4	essential	essential	ADJ
atpp-1104	33	5	that	that	SCONJ
atpp-1104	33	6	these	these	DET
atpp-1104	33	7	teachers	teacher	NOUN
atpp-1104	33	8	play	play	VERB
atpp-1104	33	9	an	an	DET
atpp-1104	33	10	important	important	ADJ
atpp-1104	33	11	role	role	NOUN
atpp-1104	33	12	in	in	ADP
atpp-1104	33	13	the	the	DET
atpp-1104	33	14	definition	definition	NOUN
atpp-1104	33	15	of	of	ADP
atpp-1104	33	16	the	the	DET
atpp-1104	33	17	purposes	purpose	NOUN
atpp-1104	33	18	and	and	CCONJ
atpp-1104	33	19	goals	goal	NOUN
atpp-1104	33	20	of	of	ADP
atpp-1104	33	21	their	their	PRON
atpp-1104	33	22	work	work	NOUN
atpp-1104	33	23	,	,	PUNCT
atpp-1104	33	24	as	as	ADV
atpp-1104	33	25	well	well	ADV
atpp-1104	33	26	as	as	ADP
atpp-1104	33	27	the	the	DET
atpp-1104	33	28	means	mean	NOUN
atpp-1104	33	29	to	to	PART
atpp-1104	33	30	attain	attain	VERB
atpp-1104	33	31	them	they	PRON
atpp-1104	33	32	,	,	PUNCT
atpp-1104	33	33	that	that	PRON
atpp-1104	33	34	will	will	AUX
atpp-1104	33	35	result	result	VERB
atpp-1104	33	36	in	in	ADP
atpp-1104	33	37	their	their	PRON
atpp-1104	33	38	participation	participation	NOUN
atpp-1104	33	39	in	in	ADP
atpp-1104	33	40	the	the	DET
atpp-1104	33	41	production	production	NOUN
atpp-1104	33	42	of	of	ADP
atpp-1104	33	43	knowledge	knowledge	NOUN
atpp-1104	33	44	about	about	ADP
atpp-1104	33	45	teaching	teaching	NOUN
atpp-1104	33	46	mathematics	mathematic	NOUN
atpp-1104	33	47	,	,	PUNCT
atpp-1104	33	48	the	the	DET
atpp-1104	33	49	possession	possession	NOUN
atpp-1104	33	50	of	of	ADP
atpp-1104	33	51	which	which	PRON
atpp-1104	33	52	,	,	PUNCT
atpp-1104	33	53	would	would	AUX
atpp-1104	33	54	place	place	VERB
atpp-1104	33	55	teachers	teacher	NOUN
atpp-1104	33	56	in	in	ADP
atpp-1104	33	57	a	a	DET
atpp-1104	33	58	position	position	NOUN
atpp-1104	33	59	where	where	SCONJ
atpp-1104	33	60	they	they	PRON
atpp-1104	33	61	could	could	AUX
atpp-1104	33	62	critically	critically	ADV
atpp-1104	33	63	assess	assess	VERB
atpp-1104	33	64	the	the	DET
atpp-1104	33	65	established	establish	VERB
atpp-1104	33	66	standards	standard	NOUN
atpp-1104	33	67	.	.	PUNCT
atpp-1104	34	1	the	the	DET
atpp-1104	34	2	subject	subject	NOUN
atpp-1104	34	3	of	of	ADP
atpp-1104	34	4	the	the	DET
atpp-1104	34	5	philosophy	philosophy	NOUN
atpp-1104	34	6	of	of	ADP
atpp-1104	34	7	mathematics	mathematics	PROPN
atpp-1104	34	8	ernest	ernest	PROPN
atpp-1104	34	9	(	(	PUNCT
atpp-1104	34	10	1991	1991	NUM
atpp-1104	34	11	,	,	PUNCT
atpp-1104	34	12	1998	1998	NUM
atpp-1104	34	13	)	)	PUNCT
atpp-1104	34	14	described	describe	VERB
atpp-1104	34	15	two	two	NUM
atpp-1104	34	16	contrasting	contrast	VERB
atpp-1104	34	17	philosophical	philosophical	ADJ
atpp-1104	34	18	views	view	NOUN
atpp-1104	34	19	of	of	ADP
atpp-1104	34	20	mathematics	mathematic	NOUN
atpp-1104	34	21	,	,	PUNCT
atpp-1104	34	22	absolutism	absolutism	NOUN
atpp-1104	34	23	and	and	CCONJ
atpp-1104	34	24	fallibilism	fallibilism	NOUN
atpp-1104	34	25	,	,	PUNCT
atpp-1104	34	26	which	which	PRON
atpp-1104	34	27	,	,	PUNCT
atpp-1104	34	28	although	although	SCONJ
atpp-1104	34	29	somewhat	somewhat	ADV
atpp-1104	34	30	simplistic	simplistic	ADJ
atpp-1104	34	31	,	,	PUNCT
atpp-1104	34	32	are	be	AUX
atpp-1104	34	33	useful	useful	ADJ
atpp-1104	34	34	in	in	ADP
atpp-1104	34	35	our	our	PRON
atpp-1104	34	36	discussion	discussion	NOUN
atpp-1104	34	37	of	of	ADP
atpp-1104	34	38	introducing	introduce	VERB
atpp-1104	34	39	the	the	DET
atpp-1104	34	40	philosophy	philosophy	NOUN
atpp-1104	34	41	of	of	ADP
atpp-1104	34	42	mathanalytic	mathanalytic	ADJ
atpp-1104	34	43	teaching	teaching	NOUN
atpp-1104	34	44	and	and	CCONJ
atpp-1104	34	45	philosophical	philosophical	ADJ
atpp-1104	34	46	praxis	praxis	ADJ
atpp-1104	34	47	vol	vol	NOUN
atpp-1104	34	48	.	.	PUNCT
atpp-1104	35	1	34	34	NUM
atpp-1104	35	2	issue	issue	NOUN
atpp-1104	35	3	1	1	NUM
atpp-1104	35	4	71	71	NUM
atpp-1104	35	5	ematics	ematic	NOUN
atpp-1104	35	6	into	into	ADP
atpp-1104	35	7	teachers	teacher	NOUN
atpp-1104	35	8	’	'	PUNCT
atpp-1104	35	9	preparation	preparation	NOUN
atpp-1104	35	10	courses	course	NOUN
atpp-1104	35	11	.	.	PUNCT
atpp-1104	36	1	the	the	DET
atpp-1104	36	2	first	first	ADJ
atpp-1104	36	3	is	be	AUX
atpp-1104	36	4	an	an	DET
atpp-1104	36	5	absolutist	absolutist	ADJ
atpp-1104	36	6	view	view	NOUN
atpp-1104	36	7	of	of	ADP
atpp-1104	36	8	mathematics	mathematic	NOUN
atpp-1104	36	9	,	,	PUNCT
atpp-1104	36	10	which	which	PRON
atpp-1104	36	11	stems	stem	VERB
atpp-1104	36	12	from	from	ADP
atpp-1104	36	13	both	both	CCONJ
atpp-1104	36	14	platonist	platonist	PROPN
atpp-1104	36	15	and	and	CCONJ
atpp-1104	36	16	formalist	formalist	ADJ
atpp-1104	36	17	philosophies	philosophy	NOUN
atpp-1104	36	18	;	;	PUNCT
atpp-1104	36	19	these	these	PRON
atpp-1104	36	20	consider	consider	VERB
atpp-1104	36	21	mathematics	mathematic	NOUN
atpp-1104	36	22	to	to	PART
atpp-1104	36	23	be	be	AUX
atpp-1104	36	24	a	a	DET
atpp-1104	36	25	consistent	consistent	ADJ
atpp-1104	36	26	body	body	NOUN
atpp-1104	36	27	of	of	ADP
atpp-1104	36	28	knowledge	knowledge	NOUN
atpp-1104	36	29	without	without	ADP
atpp-1104	36	30	errors	error	NOUN
atpp-1104	36	31	or	or	CCONJ
atpp-1104	36	32	contradictions	contradiction	NOUN
atpp-1104	36	33	and	and	CCONJ
atpp-1104	36	34	are	be	AUX
atpp-1104	36	35	expressed	express	VERB
atpp-1104	36	36	in	in	ADP
atpp-1104	36	37	a	a	DET
atpp-1104	36	38	formalized	formalized	ADJ
atpp-1104	36	39	language	language	NOUN
atpp-1104	36	40	.	.	PUNCT
atpp-1104	37	1	these	these	DET
atpp-1104	37	2	philosophies	philosophy	NOUN
atpp-1104	37	3	regard	regard	VERB
atpp-1104	37	4	mathematics	mathematic	NOUN
atpp-1104	37	5	as	as	ADV
atpp-1104	37	6	infallible	infallible	ADJ
atpp-1104	37	7	,	,	PUNCT
atpp-1104	37	8	due	due	ADJ
atpp-1104	37	9	either	either	CCONJ
atpp-1104	37	10	to	to	ADP
atpp-1104	37	11	its	its	PRON
atpp-1104	37	12	existence	existence	NOUN
atpp-1104	37	13	beyond	beyond	ADP
atpp-1104	37	14	humanity	humanity	NOUN
atpp-1104	37	15	just	just	ADV
atpp-1104	37	16	waiting	wait	VERB
atpp-1104	37	17	to	to	PART
atpp-1104	37	18	be	be	AUX
atpp-1104	37	19	discovered	discover	VERB
atpp-1104	37	20	(	(	PUNCT
atpp-1104	37	21	platonist	platonist	PROPN
atpp-1104	37	22	school	school	NOUN
atpp-1104	37	23	)	)	PUNCT
atpp-1104	37	24	,	,	PUNCT
atpp-1104	37	25	or	or	CCONJ
atpp-1104	37	26	due	due	ADP
atpp-1104	37	27	to	to	ADP
atpp-1104	37	28	its	its	PRON
atpp-1104	37	29	creation	creation	NOUN
atpp-1104	37	30	as	as	ADP
atpp-1104	37	31	a	a	DET
atpp-1104	37	32	logical	logical	ADJ
atpp-1104	37	33	,	,	PUNCT
atpp-1104	37	34	closed	closed	ADJ
atpp-1104	37	35	set	set	NOUN
atpp-1104	37	36	of	of	ADP
atpp-1104	37	37	rules	rule	NOUN
atpp-1104	37	38	and	and	CCONJ
atpp-1104	37	39	procedures	procedure	NOUN
atpp-1104	37	40	(	(	PUNCT
atpp-1104	37	41	formalist	formalist	ADJ
atpp-1104	37	42	school	school	NOUN
atpp-1104	37	43	)	)	PUNCT
atpp-1104	37	44	.	.	PUNCT
atpp-1104	38	1	the	the	DET
atpp-1104	38	2	second	second	ADJ
atpp-1104	38	3	view	view	NOUN
atpp-1104	38	4	of	of	ADP
atpp-1104	38	5	mathematics	mathematic	NOUN
atpp-1104	38	6	originates	originate	NOUN
atpp-1104	38	7	from	from	ADP
atpp-1104	38	8	a	a	DET
atpp-1104	38	9	fallibilistic	fallibilistic	ADJ
atpp-1104	38	10	philosophy	philosophy	NOUN
atpp-1104	38	11	or	or	CCONJ
atpp-1104	38	12	a	a	DET
atpp-1104	38	13	philosophy	philosophy	NOUN
atpp-1104	38	14	of	of	ADP
atpp-1104	38	15	humanism	humanism	NOUN
atpp-1104	38	16	,	,	PUNCT
atpp-1104	38	17	as	as	ADP
atpp-1104	38	18	hersh	hersh	PROPN
atpp-1104	38	19	,	,	PUNCT
atpp-1104	38	20	(	(	PUNCT
atpp-1104	38	21	1997	1997	NUM
atpp-1104	38	22	)	)	PUNCT
atpp-1104	38	23	termed	term	VERB
atpp-1104	38	24	it	it	PRON
atpp-1104	38	25	,	,	PUNCT
atpp-1104	38	26	which	which	PRON
atpp-1104	38	27	regards	regard	VERB
atpp-1104	38	28	mathematics	mathematic	NOUN
atpp-1104	38	29	as	as	ADP
atpp-1104	38	30	a	a	DET
atpp-1104	38	31	human	human	ADJ
atpp-1104	38	32	construction	construction	NOUN
atpp-1104	38	33	,	,	PUNCT
atpp-1104	38	34	consequently	consequently	ADV
atpp-1104	38	35	fallible	fallible	ADJ
atpp-1104	38	36	and	and	CCONJ
atpp-1104	38	37	corrigible	corrigible	ADJ
atpp-1104	38	38	.	.	PUNCT
atpp-1104	39	1	it	it	PRON
atpp-1104	39	2	is	be	AUX
atpp-1104	39	3	this	this	DET
atpp-1104	39	4	philosophical	philosophical	ADJ
atpp-1104	39	5	view	view	NOUN
atpp-1104	39	6	of	of	ADP
atpp-1104	39	7	mathematics	mathematic	NOUN
atpp-1104	39	8	which	which	PRON
atpp-1104	39	9	has	have	AUX
atpp-1104	39	10	moved	move	VERB
atpp-1104	39	11	away	away	ADV
atpp-1104	39	12	from	from	ADP
atpp-1104	39	13	the	the	DET
atpp-1104	39	14	dogmas	dogma	NOUN
atpp-1104	39	15	of	of	ADP
atpp-1104	39	16	the	the	DET
atpp-1104	39	17	traditional	traditional	ADJ
atpp-1104	39	18	,	,	PUNCT
atpp-1104	39	19	foundationalist	foundationalist	ADJ
atpp-1104	39	20	schools	school	NOUN
atpp-1104	39	21	of	of	ADP
atpp-1104	39	22	formalism	formalism	NOUN
atpp-1104	39	23	,	,	PUNCT
atpp-1104	39	24	logicism	logicism	NOUN
atpp-1104	39	25	and	and	CCONJ
atpp-1104	39	26	intuitionism	intuitionism	NOUN
atpp-1104	39	27	,	,	PUNCT
atpp-1104	39	28	each	each	PRON
atpp-1104	39	29	of	of	ADP
atpp-1104	39	30	which	which	PRON
atpp-1104	39	31	sought	seek	VERB
atpp-1104	39	32	to	to	PART
atpp-1104	39	33	establish	establish	VERB
atpp-1104	39	34	the	the	DET
atpp-1104	39	35	universal	universal	ADJ
atpp-1104	39	36	and	and	CCONJ
atpp-1104	39	37	absolute	absolute	ADJ
atpp-1104	39	38	validity	validity	NOUN
atpp-1104	39	39	of	of	ADP
atpp-1104	39	40	mathematical	mathematical	ADJ
atpp-1104	39	41	knowledge	knowledge	NOUN
atpp-1104	39	42	,	,	PUNCT
atpp-1104	39	43	setting	set	VERB
atpp-1104	39	44	its	its	PRON
atpp-1104	39	45	epistemological	epistemological	ADJ
atpp-1104	39	46	status	status	NOUN
atpp-1104	39	47	above	above	ADP
atpp-1104	39	48	all	all	DET
atpp-1104	39	49	other	other	ADJ
atpp-1104	39	50	forms	form	NOUN
atpp-1104	39	51	of	of	ADP
atpp-1104	39	52	knowledge	knowledge	NOUN
atpp-1104	39	53	.	.	PUNCT
atpp-1104	40	1	this	this	DET
atpp-1104	40	2	perspective	perspective	NOUN
atpp-1104	40	3	has	have	AUX
atpp-1104	40	4	included	include	VERB
atpp-1104	40	5	the	the	DET
atpp-1104	40	6	history	history	NOUN
atpp-1104	40	7	and	and	CCONJ
atpp-1104	40	8	practice	practice	NOUN
atpp-1104	40	9	of	of	ADP
atpp-1104	40	10	mathematics	mathematic	NOUN
atpp-1104	40	11	in	in	ADP
atpp-1104	40	12	the	the	DET
atpp-1104	40	13	topics	topic	NOUN
atpp-1104	40	14	studied	study	VERB
atpp-1104	40	15	by	by	ADP
atpp-1104	40	16	philosophy	philosophy	NOUN
atpp-1104	40	17	of	of	ADP
atpp-1104	40	18	mathematics	mathematic	NOUN
atpp-1104	40	19	.	.	PUNCT
atpp-1104	41	1	lakatos	lakatos	PROPN
atpp-1104	41	2	,	,	PUNCT
atpp-1104	41	3	one	one	NUM
atpp-1104	41	4	of	of	ADP
atpp-1104	41	5	the	the	DET
atpp-1104	41	6	founders	founder	NOUN
atpp-1104	41	7	of	of	ADP
atpp-1104	41	8	this	this	DET
atpp-1104	41	9	philosophy	philosophy	NOUN
atpp-1104	41	10	of	of	ADP
atpp-1104	41	11	mathematics	mathematic	NOUN
atpp-1104	41	12	,	,	PUNCT
atpp-1104	41	13	stressed	stress	VERB
atpp-1104	41	14	the	the	DET
atpp-1104	41	15	necessity	necessity	NOUN
atpp-1104	41	16	of	of	ADP
atpp-1104	41	17	a	a	DET
atpp-1104	41	18	close	close	ADJ
atpp-1104	41	19	relationship	relationship	NOUN
atpp-1104	41	20	between	between	ADP
atpp-1104	41	21	the	the	DET
atpp-1104	41	22	history	history	NOUN
atpp-1104	41	23	and	and	CCONJ
atpp-1104	41	24	philosophy	philosophy	NOUN
atpp-1104	41	25	of	of	ADP
atpp-1104	41	26	mathematics	mathematic	NOUN
atpp-1104	41	27	,	,	PUNCT
atpp-1104	41	28	claiming	claim	VERB
atpp-1104	41	29	that	that	SCONJ
atpp-1104	41	30	“	"	PUNCT
atpp-1104	41	31	the	the	DET
atpp-1104	41	32	history	history	NOUN
atpp-1104	41	33	of	of	ADP
atpp-1104	41	34	mathematics	mathematic	NOUN
atpp-1104	41	35	,	,	PUNCT
atpp-1104	41	36	lacking	lack	VERB
atpp-1104	41	37	the	the	DET
atpp-1104	41	38	guidance	guidance	NOUN
atpp-1104	41	39	of	of	ADP
atpp-1104	41	40	philosophy	philosophy	NOUN
atpp-1104	41	41	has	have	AUX
atpp-1104	41	42	become	become	VERB
atpp-1104	41	43	blind	blind	ADJ
atpp-1104	41	44	,	,	PUNCT
atpp-1104	41	45	while	while	SCONJ
atpp-1104	41	46	the	the	DET
atpp-1104	41	47	philosophy	philosophy	NOUN
atpp-1104	41	48	of	of	ADP
atpp-1104	41	49	mathematics	mathematic	NOUN
atpp-1104	41	50	turning	turn	VERB
atpp-1104	41	51	its	its	PRON
atpp-1104	41	52	back	back	NOUN
atpp-1104	41	53	on	on	ADP
atpp-1104	41	54	the	the	DET
atpp-1104	41	55	...	...	PUNCT
atpp-1104	41	56	history	history	NOUN
atpp-1104	41	57	of	of	ADP
atpp-1104	41	58	mathematics	mathematic	NOUN
atpp-1104	41	59	,	,	PUNCT
atpp-1104	41	60	has	have	AUX
atpp-1104	41	61	become	become	VERB
atpp-1104	41	62	empty	empty	ADJ
atpp-1104	41	63	”	"	PUNCT
atpp-1104	41	64	(	(	PUNCT
atpp-1104	41	65	1976	1976	NUM
atpp-1104	41	66	,	,	PUNCT
atpp-1104	41	67	p.	p.	NOUN
atpp-1104	41	68	2	2	NUM
atpp-1104	41	69	)	)	PUNCT
atpp-1104	41	70	.	.	PUNCT
atpp-1104	42	1	following	follow	VERB
atpp-1104	42	2	the	the	DET
atpp-1104	42	3	same	same	ADJ
atpp-1104	42	4	direction	direction	NOUN
atpp-1104	42	5	,	,	PUNCT
atpp-1104	42	6	ernest	ernest	PROPN
atpp-1104	42	7	(	(	PUNCT
atpp-1104	42	8	1998	1998	NUM
atpp-1104	42	9	)	)	PUNCT
atpp-1104	42	10	builds	build	VERB
atpp-1104	42	11	on	on	ADP
atpp-1104	42	12	the	the	DET
atpp-1104	42	13	need	need	NOUN
atpp-1104	42	14	to	to	PART
atpp-1104	42	15	consider	consider	VERB
atpp-1104	42	16	the	the	DET
atpp-1104	42	17	relationships	relationship	NOUN
atpp-1104	42	18	between	between	ADP
atpp-1104	42	19	mathematics	mathematic	NOUN
atpp-1104	42	20	and	and	CCONJ
atpp-1104	42	21	its	its	PRON
atpp-1104	42	22	corporeal	corporeal	ADJ
atpp-1104	42	23	agents	agent	NOUN
atpp-1104	42	24	,	,	PUNCT
atpp-1104	42	25	i.e.	i.e.	X
atpp-1104	42	26	humans	human	NOUN
atpp-1104	42	27	,	,	PUNCT
atpp-1104	42	28	listing	list	VERB
atpp-1104	42	29	the	the	DET
atpp-1104	42	30	following	follow	VERB
atpp-1104	42	31	minimum	minimum	ADJ
atpp-1104	42	32	number	number	NOUN
atpp-1104	42	33	of	of	ADP
atpp-1104	42	34	aspects	aspect	NOUN
atpp-1104	42	35	of	of	ADP
atpp-1104	42	36	mathematical	mathematical	ADJ
atpp-1104	42	37	knowledge	knowledge	NOUN
atpp-1104	42	38	and	and	CCONJ
atpp-1104	42	39	practices	practice	NOUN
atpp-1104	42	40	that	that	PRON
atpp-1104	42	41	a	a	DET
atpp-1104	42	42	modern	modern	ADJ
atpp-1104	42	43	philosophy	philosophy	NOUN
atpp-1104	42	44	of	of	ADP
atpp-1104	42	45	mathematics	mathematic	NOUN
atpp-1104	42	46	should	should	AUX
atpp-1104	42	47	account	account	VERB
atpp-1104	42	48	for	for	ADP
atpp-1104	42	49	:	:	PUNCT
atpp-1104	42	50	1	1	X
atpp-1104	42	51	.	.	PUNCT
atpp-1104	42	52	mathematical	mathematical	ADJ
atpp-1104	42	53	knowledge	knowledge	NOUN
atpp-1104	42	54	;	;	PUNCT
atpp-1104	42	55	its	its	PRON
atpp-1104	42	56	character	character	NOUN
atpp-1104	42	57	,	,	PUNCT
atpp-1104	42	58	genesis	genesis	NOUN
atpp-1104	42	59	and	and	CCONJ
atpp-1104	42	60	justification	justification	NOUN
atpp-1104	42	61	,	,	PUNCT
atpp-1104	42	62	with	with	ADP
atpp-1104	42	63	special	special	ADJ
atpp-1104	42	64	attention	attention	NOUN
atpp-1104	42	65	to	to	ADP
atpp-1104	42	66	the	the	DET
atpp-1104	42	67	role	role	NOUN
atpp-1104	42	68	of	of	ADP
atpp-1104	42	69	proof	proof	NOUN
atpp-1104	42	70	.	.	PUNCT
atpp-1104	43	1	2	2	X
atpp-1104	43	2	.	.	X
atpp-1104	43	3	mathematical	mathematical	ADJ
atpp-1104	43	4	theories	theory	NOUN
atpp-1104	43	5	,	,	PUNCT
atpp-1104	43	6	both	both	PRON
atpp-1104	43	7	constructive	constructive	ADJ
atpp-1104	43	8	and	and	CCONJ
atpp-1104	43	9	structural	structural	ADJ
atpp-1104	43	10	;	;	PUNCT
atpp-1104	43	11	their	their	PRON
atpp-1104	43	12	character	character	NOUN
atpp-1104	43	13	and	and	CCONJ
atpp-1104	43	14	development	development	NOUN
atpp-1104	43	15	,	,	PUNCT
atpp-1104	43	16	and	and	CCONJ
atpp-1104	43	17	issues	issue	NOUN
atpp-1104	43	18	of	of	ADP
atpp-1104	43	19	appraisal	appraisal	NOUN
atpp-1104	43	20	and	and	CCONJ
atpp-1104	43	21	evaluation	evaluation	NOUN
atpp-1104	43	22	.	.	PUNCT
atpp-1104	44	1	3	3	X
atpp-1104	44	2	.	.	X
atpp-1104	44	3	the	the	DET
atpp-1104	44	4	objects	object	NOUN
atpp-1104	44	5	of	of	ADP
atpp-1104	44	6	mathematics	mathematic	NOUN
atpp-1104	44	7	;	;	PUNCT
atpp-1104	44	8	their	their	PRON
atpp-1104	44	9	character	character	NOUN
atpp-1104	44	10	,	,	PUNCT
atpp-1104	44	11	origins	origin	NOUN
atpp-1104	44	12	and	and	CCONJ
atpp-1104	44	13	relationship	relationship	NOUN
atpp-1104	44	14	with	with	ADP
atpp-1104	44	15	the	the	DET
atpp-1104	44	16	language	language	NOUN
atpp-1104	44	17	of	of	ADP
atpp-1104	44	18	mathematics	mathematic	NOUN
atpp-1104	44	19	.	.	PUNCT
atpp-1104	45	1	4	4	X
atpp-1104	45	2	.	.	X
atpp-1104	45	3	mathematical	mathematical	ADJ
atpp-1104	45	4	practice	practice	NOUN
atpp-1104	45	5	;	;	PUNCT
atpp-1104	45	6	its	its	PRON
atpp-1104	45	7	character	character	NOUN
atpp-1104	45	8	,	,	PUNCT
atpp-1104	45	9	and	and	CCONJ
atpp-1104	45	10	the	the	DET
atpp-1104	45	11	mathematical	mathematical	ADJ
atpp-1104	45	12	activities	activity	NOUN
atpp-1104	45	13	of	of	ADP
atpp-1104	45	14	mathematicians	mathematician	NOUN
atpp-1104	45	15	,	,	PUNCT
atpp-1104	45	16	in	in	ADP
atpp-1104	45	17	the	the	DET
atpp-1104	45	18	present	present	NOUN
atpp-1104	45	19	and	and	CCONJ
atpp-1104	45	20	past	past	ADJ
atpp-1104	45	21	.	.	PUNCT
atpp-1104	46	1	5	5	X
atpp-1104	46	2	.	.	X
atpp-1104	46	3	applications	application	NOUN
atpp-1104	46	4	of	of	ADP
atpp-1104	46	5	mathematics	mathematic	NOUN
atpp-1104	46	6	;	;	PUNCT
atpp-1104	46	7	its	its	PRON
atpp-1104	46	8	relationship	relationship	NOUN
atpp-1104	46	9	with	with	ADP
atpp-1104	46	10	science	science	NOUN
atpp-1104	46	11	,	,	PUNCT
atpp-1104	46	12	technology	technology	NOUN
atpp-1104	46	13	,	,	PUNCT
atpp-1104	46	14	other	other	ADJ
atpp-1104	46	15	areas	area	NOUN
atpp-1104	46	16	of	of	ADP
atpp-1104	46	17	knowledge	knowledge	NOUN
atpp-1104	46	18	and	and	CCONJ
atpp-1104	46	19	values	value	NOUN
atpp-1104	46	20	.	.	PUNCT
atpp-1104	47	1	6	6	X
atpp-1104	47	2	.	.	X
atpp-1104	47	3	the	the	DET
atpp-1104	47	4	learning	learning	NOUN
atpp-1104	47	5	of	of	ADP
atpp-1104	47	6	mathematics	mathematic	NOUN
atpp-1104	47	7	:	:	PUNCT
atpp-1104	47	8	its	its	PRON
atpp-1104	47	9	character	character	NOUN
atpp-1104	47	10	and	and	CCONJ
atpp-1104	47	11	role	role	NOUN
atpp-1104	47	12	in	in	ADP
atpp-1104	47	13	the	the	DET
atpp-1104	47	14	onward	onward	ADJ
atpp-1104	47	15	transmission	transmission	NOUN
atpp-1104	47	16	of	of	ADP
atpp-1104	47	17	mathematical	mathematical	ADJ
atpp-1104	47	18	knowledge	knowledge	NOUN
atpp-1104	47	19	,	,	PUNCT
atpp-1104	47	20	and	and	CCONJ
atpp-1104	47	21	in	in	ADP
atpp-1104	47	22	the	the	DET
atpp-1104	47	23	creativity	creativity	NOUN
atpp-1104	47	24	of	of	ADP
atpp-1104	47	25	individual	individual	ADJ
atpp-1104	47	26	mathematicians	mathematician	NOUN
atpp-1104	47	27	.	.	PUNCT
atpp-1104	48	1	(	(	PUNCT
atpp-1104	48	2	pp	pp	ADJ
atpp-1104	48	3	.	.	PUNCT
atpp-1104	49	1	56	56	NUM
atpp-1104	49	2	-	-	SYM
atpp-1104	49	3	57	57	NUM
atpp-1104	49	4	)	)	PUNCT
atpp-1104	49	5	ernest	ernest	PROPN
atpp-1104	49	6	stated	state	VERB
atpp-1104	49	7	that	that	SCONJ
atpp-1104	49	8	:	:	PUNCT
atpp-1104	49	9	criteria	criterion	NOUN
atpp-1104	49	10	1	1	NUM
atpp-1104	49	11	and	and	CCONJ
atpp-1104	49	12	3	3	NUM
atpp-1104	49	13	include	include	VERB
atpp-1104	49	14	the	the	DET
atpp-1104	49	15	traditional	traditional	ADJ
atpp-1104	49	16	epistemological	epistemological	ADJ
atpp-1104	49	17	and	and	CCONJ
atpp-1104	49	18	ontological	ontological	ADJ
atpp-1104	49	19	focuses	focus	NOUN
atpp-1104	49	20	of	of	ADP
atpp-1104	49	21	the	the	DET
atpp-1104	49	22	philosophy	philosophy	NOUN
atpp-1104	49	23	of	of	ADP
atpp-1104	49	24	mathematics	mathematic	NOUN
atpp-1104	49	25	but	but	CCONJ
atpp-1104	49	26	add	add	VERB
atpp-1104	49	27	a	a	DET
atpp-1104	49	28	concern	concern	NOUN
atpp-1104	49	29	with	with	ADP
atpp-1104	49	30	the	the	DET
atpp-1104	49	31	genesis	genesis	NOUN
atpp-1104	49	32	of	of	ADP
atpp-1104	49	33	both	both	DET
atpp-1104	49	34	mathematical	mathematical	ADJ
atpp-1104	49	35	knowledge	knowledge	NOUN
atpp-1104	49	36	and	and	CCONJ
atpp-1104	49	37	the	the	DET
atpp-1104	49	38	objects	object	NOUN
atpp-1104	49	39	of	of	ADP
atpp-1104	49	40	mathematics	mathematic	NOUN
atpp-1104	49	41	,	,	PUNCT
atpp-1104	49	42	as	as	ADV
atpp-1104	49	43	well	well	ADV
atpp-1104	49	44	as	as	ADP
atpp-1104	49	45	with	with	ADP
atpp-1104	49	46	the	the	DET
atpp-1104	49	47	language	language	NOUN
atpp-1104	49	48	in	in	ADP
atpp-1104	49	49	which	which	PRON
atpp-1104	49	50	mathematical	mathematical	ADJ
atpp-1104	49	51	knowledge	knowledge	NOUN
atpp-1104	49	52	is	be	AUX
atpp-1104	49	53	expressed	express	VERB
atpp-1104	49	54	and	and	CCONJ
atpp-1104	49	55	mathematical	mathematical	ADJ
atpp-1104	49	56	objects	object	NOUN
atpp-1104	49	57	named	name	VERB
atpp-1104	49	58	.	.	PUNCT
atpp-1104	50	1	criterion	criterion	NOUN
atpp-1104	50	2	2	2	NUM
atpp-1104	50	3	adds	add	VERB
atpp-1104	50	4	a	a	DET
atpp-1104	50	5	concern	concern	NOUN
atpp-1104	50	6	with	with	ADP
atpp-1104	50	7	the	the	DET
atpp-1104	50	8	form	form	NOUN
atpp-1104	50	9	that	that	PRON
atpp-1104	50	10	mathematical	mathematical	ADJ
atpp-1104	50	11	knowledge	knowledge	NOUN
atpp-1104	50	12	usually	usually	ADV
atpp-1104	50	13	takes	take	VERB
atpp-1104	50	14	:	:	PUNCT
atpp-1104	50	15	that	that	PRON
atpp-1104	50	16	is	be	AUX
atpp-1104	50	17	in	in	ADP
atpp-1104	50	18	mathematical	mathematical	ADJ
atpp-1104	50	19	theories	theory	NOUN
atpp-1104	50	20	.	.	PUNCT
atpp-1104	51	1	it	it	PRON
atpp-1104	51	2	allows	allow	VERB
atpp-1104	51	3	as	as	ADP
atpp-1104	51	4	admissible	admissible	ADJ
atpp-1104	51	5	the	the	DET
atpp-1104	51	6	notion	notion	NOUN
atpp-1104	51	7	that	that	SCONJ
atpp-1104	51	8	theories	theory	NOUN
atpp-1104	51	9	evolve	evolve	VERB
atpp-1104	51	10	over	over	ADP
atpp-1104	51	11	time	time	NOUN
atpp-1104	51	12	and	and	CCONJ
atpp-1104	51	13	can	can	AUX
atpp-1104	51	14	be	be	AUX
atpp-1104	51	15	appraised	appraise	VERB
atpp-1104	51	16	.	.	PUNCT
atpp-1104	52	1	the	the	DET
atpp-1104	52	2	discussion	discussion	NOUN
atpp-1104	52	3	of	of	ADP
atpp-1104	52	4	standards	standard	NOUN
atpp-1104	52	5	and	and	CCONJ
atpp-1104	52	6	theory	theory	NOUN
atpp-1104	52	7	analytic	analytic	ADJ
atpp-1104	52	8	teaching	teaching	NOUN
atpp-1104	52	9	and	and	CCONJ
atpp-1104	52	10	philosophical	philosophical	ADJ
atpp-1104	52	11	praxis	praxis	ADJ
atpp-1104	52	12	vol	vol	NOUN
atpp-1104	52	13	.	.	PUNCT
atpp-1104	53	1	34	34	NUM
atpp-1104	53	2	issue	issue	NOUN
atpp-1104	53	3	1	1	NUM
atpp-1104	53	4	72	72	NUM
atpp-1104	53	5	appraisal	appraisal	NOUN
atpp-1104	53	6	is	be	AUX
atpp-1104	53	7	evidently	evidently	ADV
atpp-1104	53	8	a	a	DET
atpp-1104	53	9	matter	matter	NOUN
atpp-1104	53	10	for	for	ADP
atpp-1104	53	11	the	the	DET
atpp-1104	53	12	philosophy	philosophy	NOUN
atpp-1104	53	13	of	of	ADP
atpp-1104	53	14	mathematics	mathematic	NOUN
atpp-1104	53	15	,	,	PUNCT
atpp-1104	53	16	even	even	ADV
atpp-1104	53	17	if	if	SCONJ
atpp-1104	53	18	theory	theory	NOUN
atpp-1104	53	19	choice	choice	NOUN
atpp-1104	53	20	is	be	AUX
atpp-1104	53	21	not	not	PART
atpp-1104	53	22	the	the	DET
atpp-1104	53	23	same	same	ADJ
atpp-1104	53	24	kind	kind	NOUN
atpp-1104	53	25	of	of	ADP
atpp-1104	53	26	issue	issue	NOUN
atpp-1104	53	27	as	as	SCONJ
atpp-1104	53	28	it	it	PRON
atpp-1104	53	29	is	be	AUX
atpp-1104	53	30	in	in	ADP
atpp-1104	53	31	philosophy	philosophy	NOUN
atpp-1104	53	32	of	of	ADP
atpp-1104	53	33	science	science	NOUN
atpp-1104	53	34	.	.	PUNCT
atpp-1104	54	1	this	this	DET
atpp-1104	54	2	criterion	criterion	NOUN
atpp-1104	54	3	also	also	ADV
atpp-1104	54	4	indicates	indicate	VERB
atpp-1104	54	5	the	the	DET
atpp-1104	54	6	dual	dual	ADJ
atpp-1104	54	7	nature	nature	NOUN
atpp-1104	54	8	of	of	ADP
atpp-1104	54	9	mathematical	mathematical	ADJ
atpp-1104	54	10	theories	theory	NOUN
atpp-1104	54	11	and	and	CCONJ
atpp-1104	54	12	concepts	concept	NOUN
atpp-1104	54	13	,	,	PUNCT
atpp-1104	54	14	which	which	PRON
atpp-1104	54	15	can	can	AUX
atpp-1104	54	16	be	be	AUX
atpp-1104	54	17	either	either	CCONJ
atpp-1104	54	18	constructive	constructive	ADJ
atpp-1104	54	19	or	or	CCONJ
atpp-1104	54	20	structural	structural	ADJ
atpp-1104	54	21	,	,	PUNCT
atpp-1104	54	22	and	and	CCONJ
atpp-1104	54	23	this	this	PRON
atpp-1104	54	24	is	be	AUX
atpp-1104	54	25	a	a	DET
atpp-1104	54	26	philosophically	philosophically	ADV
atpp-1104	54	27	significant	significant	ADJ
atpp-1104	54	28	distinction	distinction	NOUN
atpp-1104	54	29	.	.	PUNCT
atpp-1104	55	1	criteria	criterion	NOUN
atpp-1104	55	2	4	4	NUM
atpp-1104	55	3	and	and	CCONJ
atpp-1104	55	4	5	5	NUM
atpp-1104	55	5	go	go	VERB
atpp-1104	55	6	beyond	beyond	ADP
atpp-1104	55	7	the	the	DET
atpp-1104	55	8	traditional	traditional	ADJ
atpp-1104	55	9	boundaries	boundary	NOUN
atpp-1104	55	10	of	of	ADP
atpp-1104	55	11	the	the	DET
atpp-1104	55	12	philosophy	philosophy	NOUN
atpp-1104	55	13	of	of	ADP
atpp-1104	55	14	mathematics	mathematic	NOUN
atpp-1104	55	15	by	by	ADP
atpp-1104	55	16	admitting	admit	VERB
atpp-1104	55	17	the	the	DET
atpp-1104	55	18	application	application	NOUN
atpp-1104	55	19	of	of	ADP
atpp-1104	55	20	mathematics	mathematic	NOUN
atpp-1104	55	21	and	and	CCONJ
atpp-1104	55	22	human	human	ADJ
atpp-1104	55	23	mathematical	mathematical	ADJ
atpp-1104	55	24	practice	practice	NOUN
atpp-1104	55	25	as	as	ADP
atpp-1104	55	26	legitimate	legitimate	ADJ
atpp-1104	55	27	philosophical	philosophical	ADJ
atpp-1104	55	28	concerns	concern	NOUN
atpp-1104	55	29	,	,	PUNCT
atpp-1104	55	30	as	as	ADV
atpp-1104	55	31	well	well	ADV
atpp-1104	55	32	as	as	ADP
atpp-1104	55	33	its	its	PRON
atpp-1104	55	34	relations	relation	NOUN
atpp-1104	55	35	with	with	ADP
atpp-1104	55	36	other	other	ADJ
atpp-1104	55	37	areas	area	NOUN
atpp-1104	55	38	of	of	ADP
atpp-1104	55	39	human	human	ADJ
atpp-1104	55	40	knowledge	knowledge	NOUN
atpp-1104	55	41	.	.	PUNCT
atpp-1104	56	1	they	they	PRON
atpp-1104	56	2	unambiguously	unambiguously	ADV
atpp-1104	56	3	admit	admit	VERB
atpp-1104	56	4	social	social	ADJ
atpp-1104	56	5	aspects	aspect	NOUN
atpp-1104	56	6	of	of	ADP
atpp-1104	56	7	mathematics	mathematic	NOUN
atpp-1104	56	8	as	as	ADP
atpp-1104	56	9	legitimate	legitimate	ADJ
atpp-1104	56	10	areas	area	NOUN
atpp-1104	56	11	of	of	ADP
atpp-1104	56	12	philosophical	philosophical	ADJ
atpp-1104	56	13	enquiry	enquiry	NOUN
atpp-1104	56	14	.	.	PUNCT
atpp-1104	57	1	criterion	criterion	NOUN
atpp-1104	57	2	6	6	NUM
atpp-1104	57	3	adds	add	VERB
atpp-1104	57	4	a	a	DET
atpp-1104	57	5	concern	concern	NOUN
atpp-1104	57	6	with	with	ADP
atpp-1104	57	7	how	how	SCONJ
atpp-1104	57	8	mathematics	mathematic	NOUN
atpp-1104	57	9	is	be	AUX
atpp-1104	57	10	transmitted	transmit	VERB
atpp-1104	57	11	onward	onward	ADV
atpp-1104	57	12	from	from	ADP
atpp-1104	57	13	one	one	NUM
atpp-1104	57	14	generation	generation	NOUN
atpp-1104	57	15	to	to	ADP
atpp-1104	57	16	the	the	DET
atpp-1104	57	17	next	next	ADJ
atpp-1104	57	18	and	and	CCONJ
atpp-1104	57	19	,	,	PUNCT
atpp-1104	57	20	in	in	ADP
atpp-1104	57	21	particular	particular	ADJ
atpp-1104	57	22	,	,	PUNCT
atpp-1104	57	23	how	how	SCONJ
atpp-1104	57	24	it	it	PRON
atpp-1104	57	25	is	be	AUX
atpp-1104	57	26	learnt	learn	VERB
atpp-1104	57	27	by	by	ADP
atpp-1104	57	28	individuals	individual	NOUN
atpp-1104	57	29	and	and	CCONJ
atpp-1104	57	30	the	the	DET
atpp-1104	57	31	dialectical	dialectical	ADJ
atpp-1104	57	32	relation	relation	NOUN
atpp-1104	57	33	between	between	ADP
atpp-1104	57	34	individuals	individual	NOUN
atpp-1104	57	35	and	and	CCONJ
atpp-1104	57	36	existing	exist	VERB
atpp-1104	57	37	knowledge	knowledge	NOUN
atpp-1104	57	38	in	in	ADP
atpp-1104	57	39	creativity	creativity	NOUN
atpp-1104	57	40	.	.	PUNCT
atpp-1104	58	1	(	(	PUNCT
atpp-1104	58	2	p.	p.	NOUN
atpp-1104	58	3	57	57	NUM
atpp-1104	58	4	)	)	PUNCT
atpp-1104	58	5	aligned	align	VERB
atpp-1104	58	6	with	with	ADP
atpp-1104	58	7	the	the	DET
atpp-1104	58	8	two	two	NUM
atpp-1104	58	9	contrasting	contrast	VERB
atpp-1104	58	10	philosophical	philosophical	ADJ
atpp-1104	58	11	views	view	NOUN
atpp-1104	58	12	of	of	ADP
atpp-1104	58	13	mathematics	mathematic	NOUN
atpp-1104	58	14	mentioned	mention	VERB
atpp-1104	58	15	above	above	ADV
atpp-1104	58	16	,	,	PUNCT
atpp-1104	58	17	are	be	AUX
atpp-1104	58	18	ideas	idea	NOUN
atpp-1104	58	19	about	about	ADP
atpp-1104	58	20	mathematics	mathematic	NOUN
atpp-1104	58	21	teaching	teaching	NOUN
atpp-1104	58	22	.	.	PUNCT
atpp-1104	59	1	in	in	ADP
atpp-1104	59	2	the	the	DET
atpp-1104	59	3	analysis	analysis	NOUN
atpp-1104	59	4	of	of	ADP
atpp-1104	59	5	threlfall	threlfall	NOUN
atpp-1104	59	6	(	(	PUNCT
atpp-1104	59	7	1996	1996	NUM
atpp-1104	59	8	)	)	PUNCT
atpp-1104	59	9	,	,	PUNCT
atpp-1104	59	10	the	the	DET
atpp-1104	59	11	absolutist	absolutist	ADJ
atpp-1104	59	12	view	view	NOUN
atpp-1104	59	13	of	of	ADP
atpp-1104	59	14	mathematics	mathematic	NOUN
atpp-1104	59	15	is	be	AUX
atpp-1104	59	16	usually	usually	ADV
atpp-1104	59	17	associated	associate	VERB
atpp-1104	59	18	with	with	ADP
atpp-1104	59	19	a	a	DET
atpp-1104	59	20	behaviorist	behaviorist	NOUN
atpp-1104	59	21	approach	approach	NOUN
atpp-1104	59	22	,	,	PUNCT
atpp-1104	59	23	utilizing	utilize	VERB
atpp-1104	59	24	drills	drill	NOUN
atpp-1104	59	25	and	and	CCONJ
atpp-1104	59	26	the	the	DET
atpp-1104	59	27	practice	practice	NOUN
atpp-1104	59	28	of	of	ADP
atpp-1104	59	29	discrete	discrete	ADJ
atpp-1104	59	30	skills	skill	NOUN
atpp-1104	59	31	,	,	PUNCT
atpp-1104	59	32	individual	individual	ADJ
atpp-1104	59	33	activities	activity	NOUN
atpp-1104	59	34	,	,	PUNCT
atpp-1104	59	35	and	and	CCONJ
atpp-1104	59	36	an	an	DET
atpp-1104	59	37	emphasis	emphasis	NOUN
atpp-1104	59	38	on	on	ADP
atpp-1104	59	39	procedures	procedure	NOUN
atpp-1104	59	40	,	,	PUNCT
atpp-1104	59	41	while	while	SCONJ
atpp-1104	59	42	the	the	DET
atpp-1104	59	43	fallibilist	fallibilist	ADJ
atpp-1104	59	44	view	view	NOUN
atpp-1104	59	45	of	of	ADP
atpp-1104	59	46	mathematics	mathematic	NOUN
atpp-1104	59	47	aligns	align	VERB
atpp-1104	59	48	itself	itself	PRON
atpp-1104	59	49	with	with	ADP
atpp-1104	59	50	pedagogy	pedagogy	NOUN
atpp-1104	59	51	consistent	consistent	ADJ
atpp-1104	59	52	with	with	ADP
atpp-1104	59	53	constructivist	constructivist	ADJ
atpp-1104	59	54	theories	theory	NOUN
atpp-1104	59	55	,	,	PUNCT
atpp-1104	59	56	utilizing	utilize	VERB
atpp-1104	59	57	problem	problem	NOUN
atpp-1104	59	58	-	-	PUNCT
atpp-1104	59	59	based	base	VERB
atpp-1104	59	60	learning	learning	NOUN
atpp-1104	59	61	,	,	PUNCT
atpp-1104	59	62	real	real	ADJ
atpp-1104	59	63	world	world	NOUN
atpp-1104	59	64	application	application	NOUN
atpp-1104	59	65	,	,	PUNCT
atpp-1104	59	66	and	and	CCONJ
atpp-1104	59	67	collaborative	collaborative	ADJ
atpp-1104	59	68	learning	learning	NOUN
atpp-1104	59	69	,	,	PUNCT
atpp-1104	59	70	with	with	ADP
atpp-1104	59	71	the	the	DET
atpp-1104	59	72	emphasis	emphasis	NOUN
atpp-1104	59	73	on	on	ADP
atpp-1104	59	74	the	the	DET
atpp-1104	59	75	process	process	NOUN
atpp-1104	59	76	and	and	CCONJ
atpp-1104	59	77	not	not	PART
atpp-1104	59	78	on	on	ADP
atpp-1104	59	79	product	product	NOUN
atpp-1104	59	80	.	.	PUNCT
atpp-1104	60	1	however	however	ADV
atpp-1104	60	2	,	,	PUNCT
atpp-1104	60	3	although	although	SCONJ
atpp-1104	60	4	there	there	PRON
atpp-1104	60	5	have	have	AUX
atpp-1104	60	6	been	be	AUX
atpp-1104	60	7	numerous	numerous	ADJ
atpp-1104	60	8	calls	call	NOUN
atpp-1104	60	9	to	to	PART
atpp-1104	60	10	change	change	VERB
atpp-1104	60	11	and	and	CCONJ
atpp-1104	60	12	adapt	adapt	VERB
atpp-1104	60	13	the	the	DET
atpp-1104	60	14	teaching	teaching	NOUN
atpp-1104	60	15	of	of	ADP
atpp-1104	60	16	mathematics	mathematic	NOUN
atpp-1104	60	17	through	through	ADP
atpp-1104	60	18	the	the	DET
atpp-1104	60	19	adoption	adoption	NOUN
atpp-1104	60	20	of	of	ADP
atpp-1104	60	21	a	a	DET
atpp-1104	60	22	constructivist	constructivist	ADJ
atpp-1104	60	23	epistemology	epistemology	NOUN
atpp-1104	60	24	,	,	PUNCT
atpp-1104	60	25	little	little	ADJ
atpp-1104	60	26	has	have	AUX
atpp-1104	60	27	been	be	AUX
atpp-1104	60	28	done	do	VERB
atpp-1104	60	29	to	to	PART
atpp-1104	60	30	challenge	challenge	VERB
atpp-1104	60	31	teachers	teacher	NOUN
atpp-1104	60	32	’	'	PUNCT
atpp-1104	60	33	conceptions	conception	NOUN
atpp-1104	60	34	of	of	ADP
atpp-1104	60	35	mathematics	mathematic	NOUN
atpp-1104	60	36	but	but	CCONJ
atpp-1104	60	37	as	as	SCONJ
atpp-1104	60	38	ernest	ernest	PROPN
atpp-1104	60	39	(	(	PUNCT
atpp-1104	60	40	1989	1989	NUM
atpp-1104	60	41	)	)	PUNCT
atpp-1104	60	42	has	have	AUX
atpp-1104	60	43	underlined	underline	VERB
atpp-1104	60	44	,	,	PUNCT
atpp-1104	60	45	“	"	PUNCT
atpp-1104	60	46	teaching	teach	VERB
atpp-1104	60	47	reforms	reform	NOUN
atpp-1104	60	48	can	can	AUX
atpp-1104	60	49	not	not	PART
atpp-1104	60	50	take	take	VERB
atpp-1104	60	51	place	place	NOUN
atpp-1104	60	52	unless	unless	SCONJ
atpp-1104	60	53	teachers	teacher	NOUN
atpp-1104	60	54	’	'	PUNCT
atpp-1104	60	55	deeply	deeply	ADV
atpp-1104	60	56	held	hold	VERB
atpp-1104	60	57	beliefs	belief	NOUN
atpp-1104	60	58	about	about	ADP
atpp-1104	60	59	mathematics	mathematic	NOUN
atpp-1104	60	60	and	and	CCONJ
atpp-1104	60	61	its	its	PRON
atpp-1104	60	62	teaching	teaching	NOUN
atpp-1104	60	63	and	and	CCONJ
atpp-1104	60	64	learning	learning	NOUN
atpp-1104	60	65	change	change	NOUN
atpp-1104	60	66	”	"	PUNCT
atpp-1104	60	67	(	(	PUNCT
atpp-1104	60	68	p.	p.	NOUN
atpp-1104	60	69	249	249	NUM
atpp-1104	60	70	)	)	PUNCT
atpp-1104	60	71	.	.	PUNCT
atpp-1104	61	1	the	the	DET
atpp-1104	61	2	history	history	NOUN
atpp-1104	61	3	vs.	vs.	ADP
atpp-1104	61	4	the	the	DET
atpp-1104	61	5	philosphy	philosphy	NOUN
atpp-1104	61	6	of	of	ADP
atpp-1104	61	7	mathematics	mathematic	NOUN
atpp-1104	61	8	the	the	DET
atpp-1104	61	9	history	history	NOUN
atpp-1104	61	10	and	and	CCONJ
atpp-1104	61	11	philosophy	philosophy	NOUN
atpp-1104	61	12	of	of	ADP
atpp-1104	61	13	mathematics	mathematic	NOUN
atpp-1104	61	14	are	be	AUX
atpp-1104	61	15	academic	academic	ADJ
atpp-1104	61	16	disciplines	discipline	NOUN
atpp-1104	61	17	which	which	PRON
atpp-1104	61	18	have	have	VERB
atpp-1104	61	19	different	different	ADJ
atpp-1104	61	20	objectives	objective	NOUN
atpp-1104	61	21	,	,	PUNCT
atpp-1104	61	22	conceptual	conceptual	ADJ
atpp-1104	61	23	structures	structure	NOUN
atpp-1104	61	24	,	,	PUNCT
atpp-1104	61	25	interests	interest	NOUN
atpp-1104	61	26	and	and	CCONJ
atpp-1104	61	27	methods	method	NOUN
atpp-1104	61	28	and	and	CCONJ
atpp-1104	61	29	they	they	PRON
atpp-1104	61	30	perceive	perceive	VERB
atpp-1104	61	31	the	the	DET
atpp-1104	61	32	world	world	NOUN
atpp-1104	61	33	of	of	ADP
atpp-1104	61	34	mathematics	mathematic	NOUN
atpp-1104	61	35	from	from	ADP
atpp-1104	61	36	a	a	DET
atpp-1104	61	37	different	different	ADJ
atpp-1104	61	38	point	point	NOUN
atpp-1104	61	39	of	of	ADP
atpp-1104	61	40	view	view	NOUN
atpp-1104	61	41	.	.	PUNCT
atpp-1104	62	1	some	some	PRON
atpp-1104	62	2	of	of	ADP
atpp-1104	62	3	their	their	PRON
atpp-1104	62	4	differences	difference	NOUN
atpp-1104	62	5	are	be	AUX
atpp-1104	62	6	not	not	PART
atpp-1104	62	7	important	important	ADJ
atpp-1104	62	8	when	when	SCONJ
atpp-1104	62	9	attempting	attempt	VERB
atpp-1104	62	10	to	to	PART
atpp-1104	62	11	interweave	interweave	VERB
atpp-1104	62	12	themes	theme	NOUN
atpp-1104	62	13	from	from	ADP
atpp-1104	62	14	the	the	DET
atpp-1104	62	15	one	one	NOUN
atpp-1104	62	16	,	,	PUNCT
atpp-1104	62	17	with	with	ADP
atpp-1104	62	18	questions	question	NOUN
atpp-1104	62	19	raised	raise	VERB
atpp-1104	62	20	by	by	ADP
atpp-1104	62	21	the	the	DET
atpp-1104	62	22	other	other	ADJ
atpp-1104	62	23	,	,	PUNCT
atpp-1104	62	24	in	in	ADP
atpp-1104	62	25	a	a	DET
atpp-1104	62	26	course	course	NOUN
atpp-1104	62	27	designed	design	VERB
atpp-1104	62	28	for	for	ADP
atpp-1104	62	29	student	student	NOUN
atpp-1104	62	30	teachers	teacher	NOUN
atpp-1104	62	31	who	who	PRON
atpp-1104	62	32	intend	intend	VERB
atpp-1104	62	33	to	to	PART
atpp-1104	62	34	teach	teach	VERB
atpp-1104	62	35	mathematics	mathematic	NOUN
atpp-1104	62	36	in	in	ADP
atpp-1104	62	37	schools	school	NOUN
atpp-1104	62	38	;	;	PUNCT
atpp-1104	62	39	however	however	ADV
atpp-1104	62	40	,	,	PUNCT
atpp-1104	62	41	others	other	NOUN
atpp-1104	62	42	are	be	AUX
atpp-1104	62	43	crucial	crucial	ADJ
atpp-1104	62	44	(	(	PUNCT
atpp-1104	62	45	aspray	aspray	PROPN
atpp-1104	62	46	&	&	CCONJ
atpp-1104	62	47	kitcher	kitcher	PROPN
atpp-1104	62	48	,	,	PUNCT
atpp-1104	62	49	1988	1988	NUM
atpp-1104	62	50	)	)	PUNCT
atpp-1104	62	51	.	.	PUNCT
atpp-1104	63	1	for	for	ADP
atpp-1104	63	2	example	example	NOUN
atpp-1104	63	3	,	,	PUNCT
atpp-1104	63	4	history	history	NOUN
atpp-1104	63	5	deals	deal	VERB
atpp-1104	63	6	with	with	ADP
atpp-1104	63	7	the	the	DET
atpp-1104	63	8	particular	particular	ADJ
atpp-1104	63	9	and	and	CCONJ
atpp-1104	63	10	the	the	DET
atpp-1104	63	11	temporal	temporal	ADJ
atpp-1104	63	12	,	,	PUNCT
atpp-1104	63	13	while	while	SCONJ
atpp-1104	63	14	philosophy	philosophy	NOUN
atpp-1104	63	15	deals	deal	VERB
atpp-1104	63	16	with	with	ADP
atpp-1104	63	17	the	the	DET
atpp-1104	63	18	universal	universal	ADJ
atpp-1104	63	19	and	and	CCONJ
atpp-1104	63	20	a	a	DET
atpp-1104	63	21	-	-	PUNCT
atpp-1104	63	22	temporal	temporal	ADJ
atpp-1104	63	23	;	;	PUNCT
atpp-1104	63	24	the	the	DET
atpp-1104	63	25	first	first	ADJ
atpp-1104	63	26	focuses	focus	VERB
atpp-1104	63	27	on	on	ADP
atpp-1104	63	28	selected	select	VERB
atpp-1104	63	29	episodes	episode	NOUN
atpp-1104	63	30	from	from	ADP
atpp-1104	63	31	the	the	DET
atpp-1104	63	32	past	past	NOUN
atpp-1104	63	33	,	,	PUNCT
atpp-1104	63	34	while	while	SCONJ
atpp-1104	63	35	the	the	DET
atpp-1104	63	36	latter	latter	ADJ
atpp-1104	63	37	is	be	AUX
atpp-1104	63	38	concerned	concern	VERB
atpp-1104	63	39	with	with	ADP
atpp-1104	63	40	universality	universality	NOUN
atpp-1104	63	41	building	building	NOUN
atpp-1104	63	42	upon	upon	SCONJ
atpp-1104	63	43	abstractness	abstractness	NOUN
atpp-1104	63	44	.	.	PUNCT
atpp-1104	64	1	in	in	ADP
atpp-1104	64	2	actual	actual	ADJ
atpp-1104	64	3	fact	fact	NOUN
atpp-1104	64	4	,	,	PUNCT
atpp-1104	64	5	the	the	DET
atpp-1104	64	6	connection	connection	NOUN
atpp-1104	64	7	between	between	ADP
atpp-1104	64	8	history	history	NOUN
atpp-1104	64	9	and	and	CCONJ
atpp-1104	64	10	philosophy	philosophy	NOUN
atpp-1104	64	11	is	be	AUX
atpp-1104	64	12	a	a	DET
atpp-1104	64	13	complex	complex	ADJ
atpp-1104	64	14	,	,	PUNCT
atpp-1104	64	15	dynamic	dynamic	ADJ
atpp-1104	64	16	and	and	CCONJ
atpp-1104	64	17	purpose	purpose	NOUN
atpp-1104	64	18	-	-	PUNCT
atpp-1104	64	19	sensitive	sensitive	ADJ
atpp-1104	64	20	relationship	relationship	NOUN
atpp-1104	64	21	.	.	PUNCT
atpp-1104	65	1	history	history	NOUN
atpp-1104	65	2	employs	employ	VERB
atpp-1104	65	3	a	a	DET
atpp-1104	65	4	variety	variety	NOUN
atpp-1104	65	5	of	of	ADP
atpp-1104	65	6	practices	practice	NOUN
atpp-1104	65	7	,	,	PUNCT
atpp-1104	65	8	and	and	CCONJ
atpp-1104	65	9	philosophy	philosophy	NOUN
atpp-1104	65	10	is	be	AUX
atpp-1104	65	11	so	so	ADV
atpp-1104	65	12	heterogeneous	heterogeneous	ADJ
atpp-1104	65	13	that	that	SCONJ
atpp-1104	65	14	it	it	PRON
atpp-1104	65	15	is	be	AUX
atpp-1104	65	16	extremely	extremely	ADV
atpp-1104	65	17	difficult	difficult	ADJ
atpp-1104	65	18	to	to	PART
atpp-1104	65	19	draw	draw	VERB
atpp-1104	65	20	simple	simple	ADJ
atpp-1104	65	21	and	and	CCONJ
atpp-1104	65	22	uniform	uniform	ADJ
atpp-1104	65	23	links	link	NOUN
atpp-1104	65	24	between	between	ADP
atpp-1104	65	25	them	they	PRON
atpp-1104	65	26	.	.	PUNCT
atpp-1104	66	1	at	at	ADP
atpp-1104	66	2	the	the	DET
atpp-1104	66	3	same	same	ADJ
atpp-1104	66	4	time	time	NOUN
atpp-1104	66	5	,	,	PUNCT
atpp-1104	66	6	any	any	DET
atpp-1104	66	7	connections	connection	NOUN
atpp-1104	66	8	drawn	draw	VERB
atpp-1104	66	9	are	be	AUX
atpp-1104	66	10	dependent	dependent	ADJ
atpp-1104	66	11	on	on	ADP
atpp-1104	66	12	the	the	DET
atpp-1104	66	13	approach	approach	NOUN
atpp-1104	66	14	adopted	adopt	VERB
atpp-1104	66	15	in	in	ADP
atpp-1104	66	16	drawing	draw	VERB
atpp-1104	66	17	them	they	PRON
atpp-1104	66	18	.	.	PUNCT
atpp-1104	67	1	for	for	ADP
atpp-1104	67	2	this	this	DET
atpp-1104	67	3	reason	reason	NOUN
atpp-1104	67	4	,	,	PUNCT
atpp-1104	67	5	the	the	DET
atpp-1104	67	6	history	history	NOUN
atpp-1104	67	7	and	and	CCONJ
atpp-1104	67	8	philosophy	philosophy	NOUN
atpp-1104	67	9	of	of	ADP
atpp-1104	67	10	mathematics	mathematic	NOUN
atpp-1104	67	11	may	may	AUX
atpp-1104	67	12	be	be	AUX
atpp-1104	67	13	related	relate	VERB
atpp-1104	67	14	in	in	ADP
atpp-1104	67	15	different	different	ADJ
atpp-1104	67	16	ways	way	NOUN
atpp-1104	67	17	for	for	ADP
atpp-1104	67	18	different	different	ADJ
atpp-1104	67	19	purposes	purpose	NOUN
atpp-1104	67	20	.	.	PUNCT
atpp-1104	68	1	in	in	ADP
atpp-1104	68	2	our	our	PRON
atpp-1104	68	3	project	project	NOUN
atpp-1104	68	4	and	and	CCONJ
atpp-1104	68	5	for	for	ADP
atpp-1104	68	6	our	our	PRON
atpp-1104	68	7	purposes	purpose	NOUN
atpp-1104	68	8	,	,	PUNCT
atpp-1104	68	9	we	we	PRON
atpp-1104	68	10	have	have	AUX
atpp-1104	68	11	found	find	VERB
atpp-1104	68	12	such	such	DET
atpp-1104	68	13	a	a	DET
atpp-1104	68	14	relationship	relationship	NOUN
atpp-1104	68	15	based	base	VERB
atpp-1104	68	16	on	on	ADP
atpp-1104	68	17	the	the	DET
atpp-1104	68	18	following	follow	VERB
atpp-1104	68	19	premises	premise	NOUN
atpp-1104	68	20	:	:	PUNCT
atpp-1104	68	21	–	–	PUNCT
atpp-1104	68	22	the	the	DET
atpp-1104	68	23	philosophy	philosophy	NOUN
atpp-1104	68	24	of	of	ADP
atpp-1104	68	25	mathematics	mathematics	NOUN
atpp-1104	68	26	involves	involve	VERB
atpp-1104	68	27	a	a	DET
atpp-1104	68	28	temporal	temporal	ADJ
atpp-1104	68	29	dimension	dimension	NOUN
atpp-1104	68	30	.	.	PUNCT
atpp-1104	69	1	as	as	SCONJ
atpp-1104	69	2	exemplified	exemplify	VERB
atpp-1104	69	3	by	by	ADP
atpp-1104	69	4	lakatos	lakato	NOUN
atpp-1104	69	5	,	,	PUNCT
atpp-1104	69	6	in	in	ADP
atpp-1104	69	7	his	his	PRON
atpp-1104	69	8	proofs	proof	NOUN
atpp-1104	69	9	and	and	CCONJ
atpp-1104	69	10	refutations	refutation	NOUN
atpp-1104	69	11	,	,	PUNCT
atpp-1104	69	12	he	he	PRON
atpp-1104	69	13	stated	state	VERB
atpp-1104	69	14	that	that	SCONJ
atpp-1104	69	15	mathematical	mathematical	ADJ
atpp-1104	69	16	definitions	definition	NOUN
atpp-1104	69	17	,	,	PUNCT
atpp-1104	69	18	proofs	proof	NOUN
atpp-1104	69	19	and	and	CCONJ
atpp-1104	69	20	theories	theory	NOUN
atpp-1104	69	21	are	be	AUX
atpp-1104	69	22	not	not	PART
atpp-1104	69	23	created	create	VERB
atpp-1104	69	24	at	at	ADP
atpp-1104	69	25	the	the	DET
atpp-1104	69	26	outset	outset	NOUN
atpp-1104	69	27	in	in	ADP
atpp-1104	69	28	their	their	PRON
atpp-1104	69	29	full	full	ADJ
atpp-1104	69	30	format	format	NOUN
atpp-1104	69	31	,	,	PUNCT
atpp-1104	69	32	ready	ready	ADJ
atpp-1104	69	33	to	to	PART
atpp-1104	69	34	meet	meet	VERB
atpp-1104	69	35	the	the	DET
atpp-1104	69	36	requirements	requirement	NOUN
atpp-1104	69	37	of	of	ADP
atpp-1104	69	38	mathematical	mathematical	ADJ
atpp-1104	69	39	research	research	NOUN
atpp-1104	69	40	and	and	CCONJ
atpp-1104	69	41	development	development	NOUN
atpp-1104	69	42	.	.	PUNCT
atpp-1104	70	1	as	as	ADP
atpp-1104	70	2	a	a	DET
atpp-1104	70	3	consequence	consequence	NOUN
atpp-1104	70	4	,	,	PUNCT
atpp-1104	70	5	the	the	DET
atpp-1104	70	6	concept	concept	NOUN
atpp-1104	70	7	of	of	ADP
atpp-1104	70	8	truth	truth	NOUN
atpp-1104	70	9	in	in	ADP
atpp-1104	70	10	mathematics	mathematics	NOUN
atpp-1104	70	11	is	be	AUX
atpp-1104	70	12	actually	actually	ADV
atpp-1104	70	13	conditional	conditional	ADJ
atpp-1104	70	14	and	and	CCONJ
atpp-1104	70	15	domain	domain	NOUN
atpp-1104	70	16	-	-	PUNCT
atpp-1104	70	17	specific	specific	ADJ
atpp-1104	70	18	and	and	CCONJ
atpp-1104	70	19	as	as	ADP
atpp-1104	70	20	such	such	ADJ
atpp-1104	70	21	,	,	PUNCT
atpp-1104	70	22	this	this	DET
atpp-1104	70	23	approach	approach	NOUN
atpp-1104	70	24	has	have	VERB
atpp-1104	70	25	significant	significant	ADJ
atpp-1104	70	26	implications	implication	NOUN
atpp-1104	70	27	for	for	ADP
atpp-1104	70	28	questions	question	NOUN
atpp-1104	70	29	posed	pose	VERB
atpp-1104	70	30	and	and	CCONJ
atpp-1104	70	31	answered	answer	VERB
atpp-1104	70	32	by	by	ADP
atpp-1104	70	33	the	the	DET
atpp-1104	70	34	philosophy	philosophy	NOUN
atpp-1104	70	35	of	of	ADP
atpp-1104	70	36	mathematical	mathematical	ADJ
atpp-1104	70	37	practice	practice	NOUN
atpp-1104	70	38	.	.	PUNCT
atpp-1104	71	1	–	–	PUNCT
atpp-1104	71	2	the	the	DET
atpp-1104	71	3	philosophy	philosophy	NOUN
atpp-1104	71	4	of	of	ADP
atpp-1104	71	5	mathematics	mathematics	NOUN
atpp-1104	71	6	studies	study	NOUN
atpp-1104	71	7	,	,	PUNCT
atpp-1104	71	8	mathematical	mathematical	ADJ
atpp-1104	71	9	procedures	procedure	NOUN
atpp-1104	71	10	,	,	PUNCT
atpp-1104	71	11	representation	representation	NOUN
atpp-1104	71	12	,	,	PUNCT
atpp-1104	71	13	and	and	CCONJ
atpp-1104	71	14	analytic	analytic	ADJ
atpp-1104	71	15	teaching	teaching	NOUN
atpp-1104	71	16	and	and	CCONJ
atpp-1104	71	17	philosophical	philosophical	ADJ
atpp-1104	71	18	praxis	praxis	ADJ
atpp-1104	71	19	vol	vol	NOUN
atpp-1104	71	20	.	.	PUNCT
atpp-1104	72	1	34	34	NUM
atpp-1104	72	2	issue	issue	NOUN
atpp-1104	72	3	1	1	NUM
atpp-1104	72	4	73	73	NUM
atpp-1104	72	5	ontology	ontology	NOUN
atpp-1104	72	6	in	in	ADP
atpp-1104	72	7	comparison	comparison	NOUN
atpp-1104	72	8	with	with	ADP
atpp-1104	72	9	the	the	DET
atpp-1104	72	10	history	history	NOUN
atpp-1104	72	11	of	of	ADP
atpp-1104	72	12	mathematics	mathematic	NOUN
atpp-1104	72	13	which	which	DET
atpp-1104	72	14	studies	study	NOUN
atpp-1104	72	15	changes	change	VERB
atpp-1104	72	16	in	in	ADP
atpp-1104	72	17	mathematical	mathematical	ADJ
atpp-1104	72	18	procedures	procedure	NOUN
atpp-1104	72	19	,	,	PUNCT
atpp-1104	72	20	representation	representation	NOUN
atpp-1104	72	21	,	,	PUNCT
atpp-1104	72	22	and	and	CCONJ
atpp-1104	72	23	ontology	ontology	NOUN
atpp-1104	72	24	.	.	PUNCT
atpp-1104	73	1	explanations	explanation	NOUN
atpp-1104	73	2	of	of	ADP
atpp-1104	73	3	changes	change	NOUN
atpp-1104	73	4	presented	present	VERB
atpp-1104	73	5	by	by	ADP
atpp-1104	73	6	history	history	NOUN
atpp-1104	73	7	provide	provide	VERB
atpp-1104	73	8	philosophy	philosophy	NOUN
atpp-1104	73	9	the	the	DET
atpp-1104	73	10	grounds	ground	NOUN
atpp-1104	73	11	for	for	ADP
atpp-1104	73	12	testing	test	VERB
atpp-1104	73	13	its	its	PRON
atpp-1104	73	14	general	general	ADJ
atpp-1104	73	15	hypotheses	hypothesis	NOUN
atpp-1104	73	16	and	and	CCONJ
atpp-1104	73	17	theories	theory	NOUN
atpp-1104	73	18	and	and	CCONJ
atpp-1104	73	19	for	for	ADP
atpp-1104	73	20	interpreting	interpret	VERB
atpp-1104	73	21	their	their	PRON
atpp-1104	73	22	transformations	transformation	NOUN
atpp-1104	73	23	over	over	ADP
atpp-1104	73	24	time	time	NOUN
atpp-1104	73	25	.	.	PUNCT
atpp-1104	74	1	–	–	PUNCT
atpp-1104	74	2	mathematical	mathematical	ADJ
atpp-1104	74	3	ideas	idea	NOUN
atpp-1104	74	4	are	be	AUX
atpp-1104	74	5	not	not	PART
atpp-1104	74	6	developed	develop	VERB
atpp-1104	74	7	in	in	ADP
atpp-1104	74	8	isolation	isolation	NOUN
atpp-1104	74	9	from	from	ADP
atpp-1104	74	10	their	their	PRON
atpp-1104	74	11	wider	wide	ADJ
atpp-1104	74	12	intellectual	intellectual	ADJ
atpp-1104	74	13	context	context	NOUN
atpp-1104	74	14	or	or	CCONJ
atpp-1104	74	15	the	the	DET
atpp-1104	74	16	institutional	institutional	ADJ
atpp-1104	74	17	factors	factor	NOUN
atpp-1104	74	18	regulating	regulate	VERB
atpp-1104	74	19	the	the	DET
atpp-1104	74	20	mathematical	mathematical	ADJ
atpp-1104	74	21	practice	practice	NOUN
atpp-1104	74	22	.	.	PUNCT
atpp-1104	75	1	mathematical	mathematical	ADJ
atpp-1104	75	2	definitions	definition	NOUN
atpp-1104	75	3	,	,	PUNCT
atpp-1104	75	4	proofs	proof	NOUN
atpp-1104	75	5	and	and	CCONJ
atpp-1104	75	6	theories	theory	NOUN
atpp-1104	75	7	often	often	ADV
atpp-1104	75	8	develop	develop	VERB
atpp-1104	75	9	in	in	ADP
atpp-1104	75	10	response	response	NOUN
atpp-1104	75	11	to	to	ADP
atpp-1104	75	12	practical	practical	ADJ
atpp-1104	75	13	problems	problem	NOUN
atpp-1104	75	14	and	and	CCONJ
atpp-1104	75	15	these	these	DET
atpp-1104	75	16	practicalities	practicality	NOUN
atpp-1104	75	17	condition	condition	VERB
atpp-1104	75	18	them	they	PRON
atpp-1104	75	19	for	for	ADP
atpp-1104	75	20	as	as	ADV
atpp-1104	75	21	long	long	ADV
atpp-1104	75	22	as	as	SCONJ
atpp-1104	75	23	mathematics	mathematic	NOUN
atpp-1104	75	24	continues	continue	VERB
atpp-1104	75	25	to	to	PART
atpp-1104	75	26	develop	develop	VERB
atpp-1104	75	27	.	.	PUNCT
atpp-1104	76	1	as	as	ADP
atpp-1104	76	2	a	a	DET
atpp-1104	76	3	result	result	NOUN
atpp-1104	76	4	,	,	PUNCT
atpp-1104	76	5	many	many	ADJ
atpp-1104	76	6	questions	question	NOUN
atpp-1104	76	7	related	relate	VERB
atpp-1104	76	8	to	to	ADP
atpp-1104	76	9	the	the	DET
atpp-1104	76	10	epistemology	epistemology	NOUN
atpp-1104	76	11	of	of	ADP
atpp-1104	76	12	mathematics	mathematic	NOUN
atpp-1104	76	13	may	may	AUX
atpp-1104	76	14	be	be	AUX
atpp-1104	76	15	answered	answer	VERB
atpp-1104	76	16	by	by	ADP
atpp-1104	76	17	an	an	DET
atpp-1104	76	18	inquiry	inquiry	NOUN
atpp-1104	76	19	which	which	PRON
atpp-1104	76	20	transcends	transcend	VERB
atpp-1104	76	21	the	the	DET
atpp-1104	76	22	boundaries	boundary	NOUN
atpp-1104	76	23	of	of	ADP
atpp-1104	76	24	the	the	DET
atpp-1104	76	25	strictly	strictly	ADV
atpp-1104	76	26	mathematical	mathematical	ADJ
atpp-1104	76	27	or	or	CCONJ
atpp-1104	76	28	even	even	ADV
atpp-1104	76	29	intellectual	intellectual	ADJ
atpp-1104	76	30	fields	field	NOUN
atpp-1104	76	31	.	.	PUNCT
atpp-1104	77	1	adopting	adopt	VERB
atpp-1104	77	2	the	the	DET
atpp-1104	77	3	above	above	ADJ
atpp-1104	77	4	mentioned	mention	VERB
atpp-1104	77	5	view	view	NOUN
atpp-1104	77	6	of	of	ADP
atpp-1104	77	7	the	the	DET
atpp-1104	77	8	connection	connection	NOUN
atpp-1104	77	9	between	between	ADP
atpp-1104	77	10	the	the	DET
atpp-1104	77	11	history	history	NOUN
atpp-1104	77	12	and	and	CCONJ
atpp-1104	77	13	the	the	DET
atpp-1104	77	14	philosophy	philosophy	NOUN
atpp-1104	77	15	of	of	ADP
atpp-1104	77	16	mathematics	mathematic	NOUN
atpp-1104	77	17	creates	create	VERB
atpp-1104	77	18	the	the	DET
atpp-1104	77	19	need	need	NOUN
atpp-1104	77	20	for	for	ADP
atpp-1104	77	21	a	a	DET
atpp-1104	77	22	key	key	ADJ
atpp-1104	77	23	question	question	NOUN
atpp-1104	77	24	to	to	PART
atpp-1104	77	25	be	be	AUX
atpp-1104	77	26	answered	answer	VERB
atpp-1104	77	27	:	:	PUNCT
atpp-1104	77	28	which	which	PRON
atpp-1104	77	29	of	of	ADP
atpp-1104	77	30	the	the	DET
atpp-1104	77	31	two	two	NUM
atpp-1104	77	32	disciplines	discipline	NOUN
atpp-1104	77	33	will	will	AUX
atpp-1104	77	34	provide	provide	VERB
atpp-1104	77	35	the	the	DET
atpp-1104	77	36	template	template	NOUN
atpp-1104	77	37	for	for	ADP
atpp-1104	77	38	the	the	DET
atpp-1104	77	39	syllabus	syllabus	NOUN
atpp-1104	77	40	of	of	ADP
atpp-1104	77	41	a	a	DET
atpp-1104	77	42	course	course	NOUN
atpp-1104	77	43	aiming	aim	VERB
atpp-1104	77	44	to	to	PART
atpp-1104	77	45	introduce	introduce	VERB
atpp-1104	77	46	students	student	NOUN
atpp-1104	77	47	to	to	ADP
atpp-1104	77	48	the	the	DET
atpp-1104	77	49	philosophy	philosophy	NOUN
atpp-1104	77	50	of	of	ADP
atpp-1104	77	51	mathematics	mathematic	NOUN
atpp-1104	77	52	?	?	PUNCT
atpp-1104	78	1	a	a	DET
atpp-1104	78	2	series	series	NOUN
atpp-1104	78	3	of	of	ADP
atpp-1104	78	4	in	in	ADP
atpp-1104	78	5	-	-	PUNCT
atpp-1104	78	6	depth	depth	NOUN
atpp-1104	78	7	interviews	interview	NOUN
atpp-1104	78	8	with	with	ADP
atpp-1104	78	9	students	student	NOUN
atpp-1104	78	10	,	,	PUNCT
atpp-1104	78	11	during	during	ADP
atpp-1104	78	12	the	the	DET
atpp-1104	78	13	planning	planning	NOUN
atpp-1104	78	14	of	of	ADP
atpp-1104	78	15	the	the	DET
atpp-1104	78	16	course	course	NOUN
atpp-1104	78	17	being	be	AUX
atpp-1104	78	18	reported	report	VERB
atpp-1104	78	19	on	on	ADP
atpp-1104	78	20	here	here	ADV
atpp-1104	78	21	,	,	PUNCT
atpp-1104	78	22	showed	show	VERB
atpp-1104	78	23	that	that	SCONJ
atpp-1104	78	24	the	the	DET
atpp-1104	78	25	history	history	NOUN
atpp-1104	78	26	of	of	ADP
atpp-1104	78	27	mathematics	mathematic	NOUN
atpp-1104	78	28	was	be	AUX
atpp-1104	78	29	more	more	ADV
atpp-1104	78	30	familiar	familiar	ADJ
atpp-1104	78	31	and	and	CCONJ
atpp-1104	78	32	a	a	DET
atpp-1104	78	33	more	more	ADV
atpp-1104	78	34	appealing	appealing	ADJ
atpp-1104	78	35	subject	subject	ADJ
atpp-1104	78	36	matter	matter	NOUN
atpp-1104	78	37	to	to	ADP
atpp-1104	78	38	the	the	DET
atpp-1104	78	39	students	student	NOUN
atpp-1104	78	40	than	than	ADP
atpp-1104	78	41	the	the	DET
atpp-1104	78	42	philosophy	philosophy	NOUN
atpp-1104	78	43	of	of	ADP
atpp-1104	78	44	mathematics	mathematic	NOUN
atpp-1104	78	45	.	.	PUNCT
atpp-1104	79	1	the	the	DET
atpp-1104	79	2	latter	latter	ADJ
atpp-1104	79	3	was	be	AUX
atpp-1104	79	4	referred	refer	VERB
atpp-1104	79	5	to	to	ADP
atpp-1104	79	6	as	as	ADP
atpp-1104	79	7	a	a	DET
atpp-1104	79	8	field	field	NOUN
atpp-1104	79	9	dealing	deal	VERB
atpp-1104	79	10	with	with	ADP
atpp-1104	79	11	abstract	abstract	ADJ
atpp-1104	79	12	,	,	PUNCT
atpp-1104	79	13	incomprehensible	incomprehensible	ADJ
atpp-1104	79	14	theories	theory	NOUN
atpp-1104	79	15	about	about	ADP
atpp-1104	79	16	mathematical	mathematical	ADJ
atpp-1104	79	17	knowledge	knowledge	NOUN
atpp-1104	79	18	,	,	PUNCT
atpp-1104	79	19	focused	focus	VERB
atpp-1104	79	20	on	on	ADP
atpp-1104	79	21	the	the	DET
atpp-1104	79	22	‘	'	PUNCT
atpp-1104	79	23	logic	logic	NOUN
atpp-1104	79	24	’	'	PUNCT
atpp-1104	79	25	of	of	ADP
atpp-1104	79	26	mathematics	mathematic	NOUN
atpp-1104	79	27	or	or	CCONJ
atpp-1104	79	28	with	with	ADP
atpp-1104	79	29	the	the	DET
atpp-1104	79	30	formal	formal	ADJ
atpp-1104	79	31	logic	logic	NOUN
atpp-1104	79	32	of	of	ADP
atpp-1104	79	33	mathematical	mathematical	ADJ
atpp-1104	79	34	thinking	thinking	NOUN
atpp-1104	79	35	.	.	PUNCT
atpp-1104	80	1	thus	thus	ADV
atpp-1104	80	2	,	,	PUNCT
atpp-1104	80	3	the	the	DET
atpp-1104	80	4	history	history	NOUN
atpp-1104	80	5	of	of	ADP
atpp-1104	80	6	mathematics	mathematic	NOUN
atpp-1104	80	7	was	be	AUX
atpp-1104	80	8	chosen	choose	VERB
atpp-1104	80	9	to	to	PART
atpp-1104	80	10	be	be	AUX
atpp-1104	80	11	used	use	VERB
atpp-1104	80	12	as	as	ADP
atpp-1104	80	13	scaffolding	scaffold	VERB
atpp-1104	80	14	for	for	ADP
atpp-1104	80	15	the	the	DET
atpp-1104	80	16	introduction	introduction	NOUN
atpp-1104	80	17	of	of	ADP
atpp-1104	80	18	prospective	prospective	ADJ
atpp-1104	80	19	teachers	teacher	NOUN
atpp-1104	80	20	to	to	ADP
atpp-1104	80	21	the	the	DET
atpp-1104	80	22	questions	question	NOUN
atpp-1104	80	23	and	and	CCONJ
atpp-1104	80	24	controversies	controversy	NOUN
atpp-1104	80	25	raised	raise	VERB
atpp-1104	80	26	by	by	ADP
atpp-1104	80	27	various	various	ADJ
atpp-1104	80	28	philosophical	philosophical	ADJ
atpp-1104	80	29	approaches	approach	NOUN
atpp-1104	80	30	to	to	ADP
atpp-1104	80	31	mathematics	mathematic	NOUN
atpp-1104	80	32	in	in	ADP
atpp-1104	80	33	the	the	DET
atpp-1104	80	34	course	course	NOUN
atpp-1104	80	35	of	of	ADP
atpp-1104	80	36	its	its	PRON
atpp-1104	80	37	development	development	NOUN
atpp-1104	80	38	.	.	PUNCT
atpp-1104	81	1	the	the	DET
atpp-1104	81	2	course	course	NOUN
atpp-1104	81	3	with	with	ADP
atpp-1104	81	4	this	this	DET
atpp-1104	81	5	background	background	NOUN
atpp-1104	81	6	,	,	PUNCT
atpp-1104	81	7	the	the	DET
atpp-1104	81	8	introduction	introduction	NOUN
atpp-1104	81	9	of	of	ADP
atpp-1104	81	10	any	any	DET
atpp-1104	81	11	aspects	aspect	NOUN
atpp-1104	81	12	of	of	ADP
atpp-1104	81	13	the	the	DET
atpp-1104	81	14	philosophy	philosophy	NOUN
atpp-1104	81	15	of	of	ADP
atpp-1104	81	16	mathematics	mathematic	NOUN
atpp-1104	81	17	to	to	ADP
atpp-1104	81	18	a	a	DET
atpp-1104	81	19	course	course	NOUN
atpp-1104	81	20	offered	offer	VERB
atpp-1104	81	21	to	to	PART
atpp-1104	81	22	student	student	NOUN
atpp-1104	81	23	teachers	teacher	NOUN
atpp-1104	81	24	,	,	PUNCT
atpp-1104	81	25	has	have	VERB
atpp-1104	81	26	to	to	PART
atpp-1104	81	27	meet	meet	VERB
atpp-1104	81	28	additional	additional	ADJ
atpp-1104	81	29	prerequisites	prerequisite	NOUN
atpp-1104	81	30	.	.	PUNCT
atpp-1104	82	1	firstly	firstly	ADV
atpp-1104	82	2	,	,	PUNCT
atpp-1104	82	3	the	the	DET
atpp-1104	82	4	selected	select	VERB
atpp-1104	82	5	topics	topic	NOUN
atpp-1104	82	6	from	from	ADP
atpp-1104	82	7	the	the	DET
atpp-1104	82	8	history	history	NOUN
atpp-1104	82	9	and	and	CCONJ
atpp-1104	82	10	philosophy	philosophy	NOUN
atpp-1104	82	11	of	of	ADP
atpp-1104	82	12	mathematics	mathematic	NOUN
atpp-1104	82	13	should	should	AUX
atpp-1104	82	14	have	have	VERB
atpp-1104	82	15	a	a	DET
atpp-1104	82	16	clear	clear	ADJ
atpp-1104	82	17	relevance	relevance	NOUN
atpp-1104	82	18	to	to	ADP
atpp-1104	82	19	the	the	DET
atpp-1104	82	20	topics	topic	NOUN
atpp-1104	82	21	of	of	ADP
atpp-1104	82	22	school	school	NOUN
atpp-1104	82	23	mathematics	mathematic	NOUN
atpp-1104	82	24	,	,	PUNCT
atpp-1104	82	25	in	in	ADP
atpp-1104	82	26	order	order	NOUN
atpp-1104	82	27	to	to	PART
atpp-1104	82	28	be	be	AUX
atpp-1104	82	29	a	a	DET
atpp-1104	82	30	crucial	crucial	ADJ
atpp-1104	82	31	motivating	motivating	NOUN
atpp-1104	82	32	factor	factor	NOUN
atpp-1104	82	33	for	for	ADP
atpp-1104	82	34	teachers	teacher	NOUN
atpp-1104	82	35	.	.	PUNCT
atpp-1104	83	1	secondly	secondly	ADV
atpp-1104	83	2	,	,	PUNCT
atpp-1104	83	3	these	these	DET
atpp-1104	83	4	issues	issue	NOUN
atpp-1104	83	5	of	of	ADP
atpp-1104	83	6	the	the	DET
atpp-1104	83	7	philosophy	philosophy	NOUN
atpp-1104	83	8	of	of	ADP
atpp-1104	83	9	mathematics	mathematic	NOUN
atpp-1104	83	10	ought	ought	AUX
atpp-1104	83	11	to	to	PART
atpp-1104	83	12	introduce	introduce	VERB
atpp-1104	83	13	thought	thought	NOUN
atpp-1104	83	14	provoking	provoke	VERB
atpp-1104	83	15	questions	question	NOUN
atpp-1104	83	16	related	relate	VERB
atpp-1104	83	17	,	,	PUNCT
atpp-1104	83	18	directly	directly	ADV
atpp-1104	83	19	or	or	CCONJ
atpp-1104	83	20	indirectly	indirectly	ADV
atpp-1104	83	21	,	,	PUNCT
atpp-1104	83	22	to	to	ADP
atpp-1104	83	23	the	the	DET
atpp-1104	83	24	mathematics	mathematic	NOUN
atpp-1104	83	25	taught	teach	VERB
atpp-1104	83	26	in	in	ADP
atpp-1104	83	27	schools	school	NOUN
atpp-1104	83	28	,	,	PUNCT
atpp-1104	83	29	thereby	thereby	ADV
atpp-1104	83	30	functioning	function	VERB
atpp-1104	83	31	as	as	ADP
atpp-1104	83	32	a	a	DET
atpp-1104	83	33	catalyst	catalyst	NOUN
atpp-1104	83	34	in	in	ADP
atpp-1104	83	35	attracting	attract	VERB
atpp-1104	83	36	teachers	teacher	NOUN
atpp-1104	83	37	’	’	PART
atpp-1104	83	38	interest	interest	NOUN
atpp-1104	83	39	and	and	CCONJ
atpp-1104	83	40	involvement	involvement	NOUN
atpp-1104	83	41	in	in	ADP
atpp-1104	83	42	the	the	DET
atpp-1104	83	43	philosophy	philosophy	NOUN
atpp-1104	83	44	of	of	ADP
atpp-1104	83	45	mathematics	mathematic	NOUN
atpp-1104	83	46	.	.	PUNCT
atpp-1104	84	1	in	in	ADP
atpp-1104	84	2	addition	addition	NOUN
atpp-1104	84	3	,	,	PUNCT
atpp-1104	84	4	a	a	DET
atpp-1104	84	5	preliminary	preliminary	ADJ
atpp-1104	84	6	study	study	NOUN
atpp-1104	84	7	has	have	AUX
atpp-1104	84	8	produced	produce	VERB
atpp-1104	84	9	evidence	evidence	NOUN
atpp-1104	84	10	of	of	ADP
atpp-1104	84	11	student	student	NOUN
atpp-1104	84	12	teachers	teacher	NOUN
atpp-1104	84	13	’	'	PUNCT
atpp-1104	84	14	poor	poor	ADJ
atpp-1104	84	15	mathematical	mathematical	ADJ
atpp-1104	84	16	background	background	NOUN
atpp-1104	84	17	and	and	CCONJ
atpp-1104	84	18	rather	rather	ADV
atpp-1104	84	19	narrow	narrow	ADJ
atpp-1104	84	20	view	view	NOUN
atpp-1104	84	21	of	of	ADP
atpp-1104	84	22	mathematics	mathematic	NOUN
atpp-1104	84	23	as	as	ADP
atpp-1104	84	24	a	a	DET
atpp-1104	84	25	discipline	discipline	NOUN
atpp-1104	84	26	,	,	PUNCT
atpp-1104	84	27	inherited	inherit	VERB
atpp-1104	84	28	from	from	ADP
atpp-1104	84	29	their	their	PRON
atpp-1104	84	30	own	own	ADJ
atpp-1104	84	31	school	school	NOUN
atpp-1104	84	32	experience	experience	NOUN
atpp-1104	84	33	,	,	PUNCT
atpp-1104	84	34	and	and	CCONJ
atpp-1104	84	35	this	this	PRON
atpp-1104	84	36	needs	need	VERB
atpp-1104	84	37	to	to	PART
atpp-1104	84	38	be	be	AUX
atpp-1104	84	39	considered	consider	VERB
atpp-1104	84	40	carefully	carefully	ADV
atpp-1104	84	41	.	.	PUNCT
atpp-1104	85	1	taking	take	VERB
atpp-1104	85	2	into	into	ADP
atpp-1104	85	3	account	account	NOUN
atpp-1104	85	4	the	the	DET
atpp-1104	85	5	above	above	ADJ
atpp-1104	85	6	outlined	outline	VERB
atpp-1104	85	7	issues	issue	NOUN
atpp-1104	85	8	,	,	PUNCT
atpp-1104	85	9	the	the	DET
atpp-1104	85	10	course	course	NOUN
atpp-1104	85	11	reported	report	VERB
atpp-1104	85	12	here	here	ADV
atpp-1104	85	13	has	have	AUX
atpp-1104	85	14	been	be	AUX
atpp-1104	85	15	developed	develop	VERB
atpp-1104	85	16	and	and	CCONJ
atpp-1104	85	17	implemented	implement	VERB
atpp-1104	85	18	on	on	ADP
atpp-1104	85	19	the	the	DET
atpp-1104	85	20	following	follow	VERB
atpp-1104	85	21	rationale	rationale	NOUN
atpp-1104	85	22	.	.	PUNCT
atpp-1104	86	1	1	1	X
atpp-1104	86	2	.	.	X
atpp-1104	86	3	as	as	ADP
atpp-1104	86	4	a	a	DET
atpp-1104	86	5	first	first	ADJ
atpp-1104	86	6	step	step	NOUN
atpp-1104	86	7	,	,	PUNCT
atpp-1104	86	8	themes	theme	NOUN
atpp-1104	86	9	from	from	ADP
atpp-1104	86	10	the	the	DET
atpp-1104	86	11	history	history	NOUN
atpp-1104	86	12	of	of	ADP
atpp-1104	86	13	mathematics	mathematic	NOUN
atpp-1104	86	14	were	be	AUX
atpp-1104	86	15	selected	select	VERB
atpp-1104	86	16	for	for	ADP
atpp-1104	86	17	the	the	DET
atpp-1104	86	18	syllabus	syllabus	NOUN
atpp-1104	86	19	of	of	ADP
atpp-1104	86	20	the	the	DET
atpp-1104	86	21	course	course	NOUN
atpp-1104	86	22	.	.	PUNCT
atpp-1104	87	1	the	the	DET
atpp-1104	87	2	criterion	criterion	NOUN
atpp-1104	87	3	for	for	ADP
atpp-1104	87	4	the	the	DET
atpp-1104	87	5	choice	choice	NOUN
atpp-1104	87	6	was	be	AUX
atpp-1104	87	7	based	base	VERB
atpp-1104	87	8	,	,	PUNCT
atpp-1104	87	9	both	both	PRON
atpp-1104	87	10	on	on	ADP
atpp-1104	87	11	the	the	DET
atpp-1104	87	12	crucial	crucial	ADJ
atpp-1104	87	13	role	role	NOUN
atpp-1104	87	14	played	play	VERB
atpp-1104	87	15	in	in	ADP
atpp-1104	87	16	the	the	DET
atpp-1104	87	17	development	development	NOUN
atpp-1104	87	18	of	of	ADP
atpp-1104	87	19	mathematics	mathematic	NOUN
atpp-1104	87	20	and	and	CCONJ
atpp-1104	87	21	its	its	PRON
atpp-1104	87	22	philosophy	philosophy	NOUN
atpp-1104	87	23	and	and	CCONJ
atpp-1104	87	24	on	on	ADP
atpp-1104	87	25	the	the	DET
atpp-1104	87	26	need	need	NOUN
atpp-1104	87	27	to	to	PART
atpp-1104	87	28	incorporate	incorporate	VERB
atpp-1104	87	29	into	into	ADP
atpp-1104	87	30	these	these	DET
atpp-1104	87	31	themes	theme	NOUN
atpp-1104	87	32	the	the	DET
atpp-1104	87	33	fundamental	fundamental	ADJ
atpp-1104	87	34	concepts	concept	NOUN
atpp-1104	87	35	,	,	PUNCT
atpp-1104	87	36	processes	process	NOUN
atpp-1104	87	37	and	and	CCONJ
atpp-1104	87	38	application	application	NOUN
atpp-1104	87	39	of	of	ADP
atpp-1104	87	40	mathematics	mathematic	NOUN
atpp-1104	87	41	,	,	PUNCT
atpp-1104	87	42	which	which	PRON
atpp-1104	87	43	are	be	AUX
atpp-1104	87	44	included	include	VERB
atpp-1104	87	45	in	in	ADP
atpp-1104	87	46	the	the	DET
atpp-1104	87	47	curricula	curricula	NOUN
atpp-1104	87	48	of	of	ADP
atpp-1104	87	49	pre	pre	ADJ
atpp-1104	87	50	-	-	NOUN
atpp-1104	87	51	school	school	ADJ
atpp-1104	87	52	and	and	CCONJ
atpp-1104	87	53	primary	primary	ADJ
atpp-1104	87	54	school	school	NOUN
atpp-1104	87	55	mathematics	mathematic	NOUN
atpp-1104	87	56	.	.	PUNCT
atpp-1104	88	1	2	2	X
atpp-1104	88	2	.	.	X
atpp-1104	88	3	the	the	DET
atpp-1104	88	4	second	second	ADJ
atpp-1104	88	5	step	step	NOUN
atpp-1104	88	6	,	,	PUNCT
atpp-1104	88	7	selected	select	VERB
atpp-1104	88	8	issues	issue	NOUN
atpp-1104	88	9	from	from	ADP
atpp-1104	88	10	the	the	DET
atpp-1104	88	11	philosophy	philosophy	NOUN
atpp-1104	88	12	of	of	ADP
atpp-1104	88	13	mathematics	mathematic	NOUN
atpp-1104	88	14	and	and	CCONJ
atpp-1104	88	15	integrated	integrate	VERB
atpp-1104	88	16	them	they	PRON
atpp-1104	88	17	into	into	ADP
atpp-1104	88	18	each	each	DET
atpp-1104	88	19	theme	theme	NOUN
atpp-1104	88	20	which	which	PRON
atpp-1104	88	21	was	be	AUX
atpp-1104	88	22	introduced	introduce	VERB
atpp-1104	88	23	by	by	ADP
atpp-1104	88	24	challenging	challenge	VERB
atpp-1104	88	25	and	and	CCONJ
atpp-1104	88	26	provocative	provocative	ADJ
atpp-1104	88	27	questions	question	NOUN
atpp-1104	88	28	aiming	aim	VERB
atpp-1104	88	29	to	to	PART
atpp-1104	88	30	create	create	VERB
atpp-1104	88	31	dissonance	dissonance	NOUN
atpp-1104	88	32	within	within	ADP
atpp-1104	88	33	the	the	DET
atpp-1104	88	34	group	group	NOUN
atpp-1104	88	35	of	of	ADP
atpp-1104	88	36	teachers	teacher	NOUN
atpp-1104	88	37	;	;	PUNCT
atpp-1104	88	38	thus	thus	ADV
atpp-1104	88	39	,	,	PUNCT
atpp-1104	88	40	stimulating	stimulate	VERB
atpp-1104	88	41	them	they	PRON
atpp-1104	88	42	to	to	PART
atpp-1104	88	43	be	be	AUX
atpp-1104	88	44	actively	actively	ADV
atpp-1104	88	45	involved	involve	VERB
atpp-1104	88	46	in	in	ADP
atpp-1104	88	47	discussions	discussion	NOUN
atpp-1104	88	48	about	about	ADP
atpp-1104	88	49	learning	learn	VERB
atpp-1104	88	50	and	and	CCONJ
atpp-1104	88	51	reflective	reflective	ADJ
atpp-1104	88	52	thinking	thinking	NOUN
atpp-1104	88	53	about	about	ADP
atpp-1104	88	54	mathematics	mathematic	NOUN
atpp-1104	88	55	,	,	PUNCT
atpp-1104	88	56	e.g.	e.g.	ADV
atpp-1104	88	57	,	,	PUNCT
atpp-1104	88	58	how	how	SCONJ
atpp-1104	88	59	it	it	PRON
atpp-1104	88	60	is	be	AUX
atpp-1104	88	61	taught	teach	VERB
atpp-1104	88	62	and	and	CCONJ
atpp-1104	88	63	learnt	learn	VERB
atpp-1104	88	64	.	.	PUNCT
atpp-1104	89	1	so	so	ADV
atpp-1104	89	2	for	for	ADP
atpp-1104	89	3	every	every	DET
atpp-1104	89	4	issue	issue	NOUN
atpp-1104	89	5	or	or	CCONJ
atpp-1104	89	6	theme	theme	VERB
atpp-1104	89	7	an	an	DET
atpp-1104	89	8	attempt	attempt	NOUN
atpp-1104	89	9	was	be	AUX
atpp-1104	89	10	made	make	VERB
atpp-1104	89	11	to	to	PART
atpp-1104	89	12	include	include	VERB
atpp-1104	89	13	questions	question	NOUN
atpp-1104	89	14	that	that	PRON
atpp-1104	89	15	would	would	AUX
atpp-1104	89	16	provoke	provoke	VERB
atpp-1104	89	17	discusanalytic	discusanalytic	ADJ
atpp-1104	89	18	teaching	teaching	NOUN
atpp-1104	89	19	and	and	CCONJ
atpp-1104	89	20	philosophical	philosophical	ADJ
atpp-1104	89	21	praxis	praxis	ADJ
atpp-1104	89	22	vol	vol	NOUN
atpp-1104	89	23	.	.	PUNCT
atpp-1104	90	1	34	34	NUM
atpp-1104	90	2	issue	issue	NOUN
atpp-1104	90	3	1	1	NUM
atpp-1104	90	4	74	74	NUM
atpp-1104	90	5	sion	sion	NOUN
atpp-1104	90	6	which	which	PRON
atpp-1104	90	7	would	would	AUX
atpp-1104	90	8	meet	meet	VERB
atpp-1104	90	9	the	the	DET
atpp-1104	90	10	previously	previously	ADV
atpp-1104	90	11	mentioned	mention	VERB
atpp-1104	90	12	criteria	criterion	NOUN
atpp-1104	90	13	for	for	ADP
atpp-1104	90	14	a	a	DET
atpp-1104	90	15	modern	modern	ADJ
atpp-1104	90	16	philosophy	philosophy	NOUN
atpp-1104	90	17	of	of	ADP
atpp-1104	90	18	mathematics	mathematic	NOUN
atpp-1104	90	19	.	.	PUNCT
atpp-1104	91	1	the	the	DET
atpp-1104	91	2	organising	organise	VERB
atpp-1104	91	3	concepts	concept	NOUN
atpp-1104	91	4	of	of	ADP
atpp-1104	91	5	this	this	DET
atpp-1104	91	6	rationale	rationale	NOUN
atpp-1104	91	7	are	be	AUX
atpp-1104	91	8	“	"	PUNCT
atpp-1104	91	9	themes	theme	NOUN
atpp-1104	91	10	”	"	PUNCT
atpp-1104	91	11	and	and	CCONJ
atpp-1104	91	12	“	"	PUNCT
atpp-1104	91	13	thought	think	VERB
atpp-1104	91	14	provoking	provoking	ADJ
atpp-1104	91	15	questions	question	NOUN
atpp-1104	91	16	.	.	PUNCT
atpp-1104	91	17	”	"	PUNCT
atpp-1104	92	1	by	by	ADP
atpp-1104	92	2	“	"	PUNCT
atpp-1104	92	3	themes	theme	NOUN
atpp-1104	92	4	”	"	PUNCT
atpp-1104	92	5	here	here	ADV
atpp-1104	92	6	is	be	AUX
atpp-1104	92	7	meant	mean	VERB
atpp-1104	92	8	,	,	PUNCT
atpp-1104	92	9	collections	collection	NOUN
atpp-1104	92	10	of	of	ADP
atpp-1104	92	11	learning	learn	VERB
atpp-1104	92	12	experiences	experience	NOUN
atpp-1104	92	13	from	from	ADP
atpp-1104	92	14	the	the	DET
atpp-1104	92	15	history	history	NOUN
atpp-1104	92	16	of	of	ADP
atpp-1104	92	17	mathematics	mathematic	NOUN
atpp-1104	92	18	,	,	PUNCT
atpp-1104	92	19	that	that	PRON
atpp-1104	92	20	assist	assist	VERB
atpp-1104	92	21	students	student	NOUN
atpp-1104	92	22	to	to	PART
atpp-1104	92	23	relate	relate	VERB
atpp-1104	92	24	their	their	PRON
atpp-1104	92	25	learning	learning	NOUN
atpp-1104	92	26	to	to	ADP
atpp-1104	92	27	questions	question	NOUN
atpp-1104	92	28	that	that	PRON
atpp-1104	92	29	are	be	AUX
atpp-1104	92	30	important	important	ADJ
atpp-1104	92	31	and	and	CCONJ
atpp-1104	92	32	meaningful	meaningful	ADJ
atpp-1104	92	33	for	for	ADP
atpp-1104	92	34	them	they	PRON
atpp-1104	92	35	,	,	PUNCT
atpp-1104	92	36	as	as	ADV
atpp-1104	92	37	well	well	ADV
atpp-1104	92	38	as	as	ADP
atpp-1104	92	39	being	be	AUX
atpp-1104	92	40	clearly	clearly	ADV
atpp-1104	92	41	linked	link	VERB
atpp-1104	92	42	to	to	ADP
atpp-1104	92	43	practice	practice	NOUN
atpp-1104	92	44	(	(	PUNCT
atpp-1104	92	45	freeman	freeman	PROPN
atpp-1104	92	46	&	&	CCONJ
atpp-1104	92	47	sokoloff	sokoloff	PROPN
atpp-1104	92	48	,	,	PUNCT
atpp-1104	92	49	1996	1996	NUM
atpp-1104	92	50	)	)	PUNCT
atpp-1104	92	51	.	.	PUNCT
atpp-1104	93	1	themes	theme	NOUN
atpp-1104	93	2	are	be	AUX
atpp-1104	93	3	the	the	DET
atpp-1104	93	4	means	mean	NOUN
atpp-1104	93	5	with	with	ADP
atpp-1104	93	6	which	which	PRON
atpp-1104	93	7	to	to	PART
atpp-1104	93	8	organize	organize	VERB
atpp-1104	93	9	the	the	DET
atpp-1104	93	10	philosophy	philosophy	NOUN
atpp-1104	93	11	of	of	ADP
atpp-1104	93	12	mathematics	mathematic	NOUN
atpp-1104	93	13	content	content	NOUN
atpp-1104	93	14	,	,	PUNCT
atpp-1104	93	15	which	which	PRON
atpp-1104	93	16	is	be	AUX
atpp-1104	93	17	presented	present	VERB
atpp-1104	93	18	and	and	CCONJ
atpp-1104	93	19	discussed	discuss	VERB
atpp-1104	93	20	by	by	ADP
atpp-1104	93	21	using	use	VERB
atpp-1104	93	22	questions	question	NOUN
atpp-1104	93	23	that	that	PRON
atpp-1104	93	24	are	be	AUX
atpp-1104	93	25	meaningful	meaningful	ADJ
atpp-1104	93	26	to	to	ADP
atpp-1104	93	27	the	the	DET
atpp-1104	93	28	teachers	teacher	NOUN
atpp-1104	93	29	as	as	ADP
atpp-1104	93	30	starting	starting	NOUN
atpp-1104	93	31	-	-	PUNCT
atpp-1104	93	32	points	point	NOUN
atpp-1104	93	33	,	,	PUNCT
atpp-1104	93	34	and	and	CCONJ
atpp-1104	93	35	they	they	PRON
atpp-1104	93	36	are	be	AUX
atpp-1104	93	37	intended	intend	VERB
atpp-1104	93	38	to	to	PART
atpp-1104	93	39	give	give	VERB
atpp-1104	93	40	meaning	meaning	NOUN
atpp-1104	93	41	and	and	CCONJ
atpp-1104	93	42	direction	direction	NOUN
atpp-1104	93	43	to	to	ADP
atpp-1104	93	44	the	the	DET
atpp-1104	93	45	reflection	reflection	NOUN
atpp-1104	93	46	and	and	CCONJ
atpp-1104	93	47	learning	learning	NOUN
atpp-1104	93	48	process	process	NOUN
atpp-1104	93	49	(	(	PUNCT
atpp-1104	93	50	perfetti	perfetti	PROPN
atpp-1104	93	51	&	&	CCONJ
atpp-1104	93	52	goldman	goldman	PROPN
atpp-1104	93	53	,	,	PUNCT
atpp-1104	93	54	1975	1975	NUM
atpp-1104	93	55	)	)	PUNCT
atpp-1104	93	56	.	.	PUNCT
atpp-1104	94	1	this	this	DET
atpp-1104	94	2	thematic	thematic	ADJ
atpp-1104	94	3	approach	approach	NOUN
atpp-1104	94	4	seems	seem	VERB
atpp-1104	94	5	to	to	PART
atpp-1104	94	6	provide	provide	VERB
atpp-1104	94	7	an	an	DET
atpp-1104	94	8	environment	environment	NOUN
atpp-1104	94	9	where	where	SCONJ
atpp-1104	94	10	knowledge	knowledge	NOUN
atpp-1104	94	11	can	can	AUX
atpp-1104	94	12	be	be	AUX
atpp-1104	94	13	individually	individually	ADV
atpp-1104	94	14	and	and	CCONJ
atpp-1104	94	15	socially	socially	ADV
atpp-1104	94	16	constructed	construct	VERB
atpp-1104	94	17	,	,	PUNCT
atpp-1104	94	18	so	so	SCONJ
atpp-1104	94	19	it	it	PRON
atpp-1104	94	20	may	may	AUX
atpp-1104	94	21	be	be	AUX
atpp-1104	94	22	considered	consider	VERB
atpp-1104	94	23	to	to	PART
atpp-1104	94	24	be	be	AUX
atpp-1104	94	25	associated	associate	VERB
atpp-1104	94	26	with	with	ADP
atpp-1104	94	27	constructivist	constructivist	ADJ
atpp-1104	94	28	ideas	idea	NOUN
atpp-1104	94	29	of	of	ADP
atpp-1104	94	30	knowing	know	VERB
atpp-1104	94	31	.	.	PUNCT
atpp-1104	95	1	“	"	PUNCT
atpp-1104	95	2	thought	think	VERB
atpp-1104	95	3	provoking	provoking	ADJ
atpp-1104	95	4	questions	question	NOUN
atpp-1104	95	5	”	"	PUNCT
atpp-1104	95	6	are	be	AUX
atpp-1104	95	7	those	those	PRON
atpp-1104	95	8	which	which	PRON
atpp-1104	95	9	create	create	VERB
atpp-1104	95	10	discordant	discordant	ADJ
atpp-1104	95	11	situations	situation	NOUN
atpp-1104	95	12	for	for	ADP
atpp-1104	95	13	the	the	DET
atpp-1104	95	14	teachers	teacher	NOUN
atpp-1104	95	15	and	and	CCONJ
atpp-1104	95	16	thus	thus	ADV
atpp-1104	95	17	motivate	motivate	VERB
atpp-1104	95	18	them	they	PRON
atpp-1104	95	19	to	to	PART
atpp-1104	95	20	be	be	AUX
atpp-1104	95	21	actively	actively	ADV
atpp-1104	95	22	involved	involve	VERB
atpp-1104	95	23	in	in	ADP
atpp-1104	95	24	approaching	approach	VERB
atpp-1104	95	25	the	the	DET
atpp-1104	95	26	philosophy	philosophy	NOUN
atpp-1104	95	27	of	of	ADP
atpp-1104	95	28	mathematics	mathematic	NOUN
atpp-1104	95	29	;	;	PUNCT
atpp-1104	95	30	they	they	PRON
atpp-1104	95	31	are	be	AUX
atpp-1104	95	32	in	in	ADP
atpp-1104	95	33	fact	fact	NOUN
atpp-1104	95	34	,	,	PUNCT
atpp-1104	95	35	questions	question	NOUN
atpp-1104	95	36	which	which	PRON
atpp-1104	95	37	create	create	VERB
atpp-1104	95	38	perplexity	perplexity	NOUN
atpp-1104	95	39	,	,	PUNCT
atpp-1104	95	40	challenge	challenge	NOUN
atpp-1104	95	41	beliefs	belief	NOUN
atpp-1104	95	42	,	,	PUNCT
atpp-1104	95	43	point	point	VERB
atpp-1104	95	44	out	out	ADP
atpp-1104	95	45	questionable	questionable	ADJ
atpp-1104	95	46	issues	issue	NOUN
atpp-1104	95	47	and	and	CCONJ
atpp-1104	95	48	potentially	potentially	ADV
atpp-1104	95	49	foster	foster	VERB
atpp-1104	95	50	a	a	DET
atpp-1104	95	51	conceptual	conceptual	ADJ
atpp-1104	95	52	reconstruction	reconstruction	NOUN
atpp-1104	95	53	of	of	ADP
atpp-1104	95	54	mathematical	mathematical	ADJ
atpp-1104	95	55	knowledge	knowledge	NOUN
atpp-1104	95	56	and	and	CCONJ
atpp-1104	95	57	pedagogy	pedagogy	NOUN
atpp-1104	95	58	of	of	ADP
atpp-1104	95	59	the	the	DET
atpp-1104	95	60	teachers	teacher	NOUN
atpp-1104	95	61	.	.	PUNCT
atpp-1104	96	1	as	as	ADP
atpp-1104	96	2	a	a	DET
atpp-1104	96	3	result	result	NOUN
atpp-1104	96	4	,	,	PUNCT
atpp-1104	96	5	the	the	DET
atpp-1104	96	6	following	follow	VERB
atpp-1104	96	7	twelve	twelve	NUM
atpp-1104	96	8	teaching	teaching	NOUN
atpp-1104	96	9	units	unit	NOUN
atpp-1104	96	10	were	be	AUX
atpp-1104	96	11	developed	develop	VERB
atpp-1104	96	12	using	use	VERB
atpp-1104	96	13	historical	historical	ADJ
atpp-1104	96	14	themes	theme	NOUN
atpp-1104	96	15	as	as	ADP
atpp-1104	96	16	scaffolding	scaffold	VERB
atpp-1104	96	17	for	for	ADP
atpp-1104	96	18	introducing	introduce	VERB
atpp-1104	96	19	key	key	ADJ
atpp-1104	96	20	questions	question	NOUN
atpp-1104	96	21	and	and	CCONJ
atpp-1104	96	22	crucial	crucial	ADJ
atpp-1104	96	23	controversies	controversy	NOUN
atpp-1104	96	24	from	from	ADP
atpp-1104	96	25	the	the	DET
atpp-1104	96	26	philosophy	philosophy	NOUN
atpp-1104	96	27	of	of	ADP
atpp-1104	96	28	mathematics	mathematic	NOUN
atpp-1104	96	29	;	;	PUNCT
atpp-1104	96	30	challenging	challenging	ADJ
atpp-1104	96	31	and	and	CCONJ
atpp-1104	96	32	provocative	provocative	ADJ
atpp-1104	96	33	questions	question	NOUN
atpp-1104	96	34	were	be	AUX
atpp-1104	96	35	also	also	ADV
atpp-1104	96	36	provided	provide	VERB
atpp-1104	96	37	for	for	ADP
atpp-1104	96	38	each	each	DET
atpp-1104	96	39	theme	theme	NOUN
atpp-1104	96	40	:	:	PUNCT
atpp-1104	96	41	1	1	X
atpp-1104	96	42	.	.	NUM
atpp-1104	96	43	numbers	number	NOUN
atpp-1104	96	44	and	and	CCONJ
atpp-1104	96	45	numerals	numeral	NOUN
atpp-1104	96	46	:	:	PUNCT
atpp-1104	96	47	from	from	ADP
atpp-1104	96	48	the	the	DET
atpp-1104	96	49	ishango	ishango	NOUN
atpp-1104	96	50	bone	bone	NOUN
atpp-1104	96	51	to	to	ADP
atpp-1104	96	52	the	the	DET
atpp-1104	96	53	arithmetic	arithmetic	NOUN
atpp-1104	96	54	of	of	ADP
atpp-1104	96	55	stevin	stevin	NOUN
atpp-1104	96	56	.	.	PUNCT
atpp-1104	97	1	are	be	AUX
atpp-1104	97	2	numbers	number	NOUN
atpp-1104	97	3	:	:	PUNCT
atpp-1104	97	4	objects	object	NOUN
atpp-1104	97	5	or	or	CCONJ
atpp-1104	97	6	properties	property	NOUN
atpp-1104	97	7	?	?	PUNCT
atpp-1104	98	1	what	what	PRON
atpp-1104	98	2	differences	difference	NOUN
atpp-1104	98	3	and	and	CCONJ
atpp-1104	98	4	similarities	similarity	NOUN
atpp-1104	98	5	can	can	AUX
atpp-1104	98	6	you	you	PRON
atpp-1104	98	7	point	point	VERB
atpp-1104	98	8	out	out	ADP
atpp-1104	98	9	in	in	ADP
atpp-1104	98	10	the	the	DET
atpp-1104	98	11	following	follow	VERB
atpp-1104	98	12	definitions	definition	NOUN
atpp-1104	98	13	of	of	ADP
atpp-1104	98	14	number	number	NOUN
atpp-1104	98	15	(	(	PUNCT
atpp-1104	98	16	definition	definition	NOUN
atpp-1104	98	17	of	of	ADP
atpp-1104	98	18	number	number	NOUN
atpp-1104	98	19	given	give	VERB
atpp-1104	98	20	by	by	ADP
atpp-1104	98	21	pythagoreans	pythagorean	NOUN
atpp-1104	98	22	,	,	PUNCT
atpp-1104	98	23	cantor	cantor	PROPN
atpp-1104	98	24	,	,	PUNCT
atpp-1104	98	25	peano	peano	NOUN
atpp-1104	98	26	and	and	CCONJ
atpp-1104	98	27	frege	frege	NOUN
atpp-1104	98	28	are	be	AUX
atpp-1104	98	29	offered	offer	VERB
atpp-1104	98	30	)	)	PUNCT
atpp-1104	98	31	?	?	PUNCT
atpp-1104	99	1	do	do	VERB
atpp-1104	99	2	different	different	ADJ
atpp-1104	99	3	number	number	NOUN
atpp-1104	99	4	definitions	definition	NOUN
atpp-1104	99	5	impact	impact	NOUN
atpp-1104	99	6	on	on	ADP
atpp-1104	99	7	any	any	DET
atpp-1104	99	8	differences	difference	NOUN
atpp-1104	99	9	in	in	ADP
atpp-1104	99	10	teaching	teaching	NOUN
atpp-1104	99	11	number	number	NOUN
atpp-1104	99	12	concept	concept	NOUN
atpp-1104	99	13	?	?	PUNCT
atpp-1104	100	1	why	why	SCONJ
atpp-1104	100	2	were	be	AUX
atpp-1104	100	3	the	the	DET
atpp-1104	100	4	various	various	ADJ
atpp-1104	100	5	numeration	numeration	NOUN
atpp-1104	100	6	systems	system	NOUN
atpp-1104	100	7	invented	invent	VERB
atpp-1104	100	8	and	and	CCONJ
atpp-1104	100	9	used	use	VERB
atpp-1104	100	10	over	over	ADP
atpp-1104	100	11	time	time	NOUN
atpp-1104	100	12	and	and	CCONJ
atpp-1104	100	13	across	across	ADP
atpp-1104	100	14	cultures	culture	NOUN
atpp-1104	100	15	?	?	PUNCT
atpp-1104	101	1	2	2	X
atpp-1104	101	2	.	.	X
atpp-1104	101	3	discrete	discrete	ADJ
atpp-1104	101	4	and	and	CCONJ
atpp-1104	101	5	continuous	continuous	ADJ
atpp-1104	101	6	quantities	quantity	NOUN
atpp-1104	101	7	:	:	PUNCT
atpp-1104	101	8	from	from	ADP
atpp-1104	101	9	zeno	zeno	PROPN
atpp-1104	101	10	’s	’s	PART
atpp-1104	101	11	paradoxes	paradox	NOUN
atpp-1104	101	12	to	to	ADP
atpp-1104	101	13	dedekind	dedekind	VERB
atpp-1104	101	14	’s	’s	PART
atpp-1104	101	15	cuts	cut	NOUN
atpp-1104	101	16	.	.	PUNCT
atpp-1104	102	1	how	how	SCONJ
atpp-1104	102	2	is	be	AUX
atpp-1104	102	3	the	the	DET
atpp-1104	102	4	difference	difference	NOUN
atpp-1104	102	5	between	between	ADP
atpp-1104	102	6	classes	class	NOUN
atpp-1104	102	7	and	and	CCONJ
atpp-1104	102	8	sets	set	NOUN
atpp-1104	102	9	conceived	conceive	VERB
atpp-1104	102	10	?	?	PUNCT
atpp-1104	103	1	what	what	PRON
atpp-1104	103	2	happens	happen	VERB
atpp-1104	103	3	when	when	SCONJ
atpp-1104	103	4	ordering	order	VERB
atpp-1104	103	5	rational	rational	ADJ
atpp-1104	103	6	numbers	number	NOUN
atpp-1104	103	7	?	?	PUNCT
atpp-1104	104	1	3	3	X
atpp-1104	104	2	.	.	NUM
atpp-1104	104	3	zero	zero	NUM
atpp-1104	104	4	and	and	CCONJ
atpp-1104	104	5	infinity	infinity	NOUN
atpp-1104	104	6	if	if	SCONJ
atpp-1104	104	7	zero	zero	NUM
atpp-1104	104	8	is	be	AUX
atpp-1104	104	9	the	the	DET
atpp-1104	104	10	representation	representation	NOUN
atpp-1104	104	11	of	of	ADP
atpp-1104	104	12	nothing	nothing	PRON
atpp-1104	104	13	,	,	PUNCT
atpp-1104	104	14	then	then	ADV
atpp-1104	104	15	nothing	nothing	PRON
atpp-1104	104	16	must	must	AUX
atpp-1104	104	17	mean	mean	VERB
atpp-1104	104	18	something	something	PRON
atpp-1104	104	19	because	because	SCONJ
atpp-1104	104	20	it	it	PRON
atpp-1104	104	21	is	be	AUX
atpp-1104	104	22	being	be	AUX
atpp-1104	104	23	represented	represent	VERB
atpp-1104	104	24	,	,	PUNCT
atpp-1104	104	25	is	be	AUX
atpp-1104	104	26	this	this	DET
atpp-1104	104	27	correct	correct	ADJ
atpp-1104	104	28	?	?	PUNCT
atpp-1104	105	1	is	be	AUX
atpp-1104	105	2	any	any	DET
atpp-1104	105	3	collection	collection	NOUN
atpp-1104	105	4	of	of	ADP
atpp-1104	105	5	objects	object	NOUN
atpp-1104	105	6	sharing	share	VERB
atpp-1104	105	7	a	a	DET
atpp-1104	105	8	common	common	ADJ
atpp-1104	105	9	characteristic	characteristic	NOUN
atpp-1104	105	10	a	a	DET
atpp-1104	105	11	set	set	NOUN
atpp-1104	105	12	?	?	PUNCT
atpp-1104	106	1	what	what	PRON
atpp-1104	106	2	is	be	AUX
atpp-1104	106	3	the	the	DET
atpp-1104	106	4	relation	relation	NOUN
atpp-1104	106	5	between	between	ADP
atpp-1104	106	6	a	a	DET
atpp-1104	106	7	whole	whole	NOUN
atpp-1104	106	8	and	and	CCONJ
atpp-1104	106	9	one	one	NUM
atpp-1104	106	10	of	of	ADP
atpp-1104	106	11	its	its	PRON
atpp-1104	106	12	parts	part	NOUN
atpp-1104	106	13	and	and	CCONJ
atpp-1104	106	14	may	may	AUX
atpp-1104	106	15	it	it	PRON
atpp-1104	106	16	be	be	AUX
atpp-1104	106	17	divided	divide	VERB
atpp-1104	106	18	?	?	PUNCT
atpp-1104	107	1	could	could	AUX
atpp-1104	107	2	you	you	PRON
atpp-1104	107	3	give	give	VERB
atpp-1104	107	4	an	an	DET
atpp-1104	107	5	example	example	NOUN
atpp-1104	107	6	of	of	ADP
atpp-1104	107	7	an	an	DET
atpp-1104	107	8	infinite	infinite	ADJ
atpp-1104	107	9	set	set	NOUN
atpp-1104	107	10	?	?	PUNCT
atpp-1104	108	1	analytic	analytic	ADJ
atpp-1104	108	2	teaching	teaching	NOUN
atpp-1104	108	3	and	and	CCONJ
atpp-1104	108	4	philosophical	philosophical	ADJ
atpp-1104	108	5	praxis	praxis	ADJ
atpp-1104	108	6	vol	vol	NOUN
atpp-1104	108	7	.	.	PUNCT
atpp-1104	109	1	34	34	NUM
atpp-1104	109	2	issue	issue	NOUN
atpp-1104	109	3	1	1	NUM
atpp-1104	109	4	75	75	NUM
atpp-1104	109	5	what	what	PRON
atpp-1104	109	6	is	be	AUX
atpp-1104	109	7	the	the	DET
atpp-1104	109	8	difference	difference	NOUN
atpp-1104	109	9	between	between	ADP
atpp-1104	109	10	an	an	DET
atpp-1104	109	11	ordinal	ordinal	ADJ
atpp-1104	109	12	number	number	NOUN
atpp-1104	109	13	and	and	CCONJ
atpp-1104	109	14	a	a	DET
atpp-1104	109	15	cardinal	cardinal	ADJ
atpp-1104	109	16	number	number	NOUN
atpp-1104	109	17	?	?	PUNCT
atpp-1104	110	1	have	have	AUX
atpp-1104	110	2	you	you	PRON
atpp-1104	110	3	ever	ever	ADV
atpp-1104	110	4	heard	hear	VERB
atpp-1104	110	5	about	about	ADP
atpp-1104	110	6	the	the	DET
atpp-1104	110	7	continuum	continuum	ADJ
atpp-1104	110	8	hypothesis	hypothesis	NOUN
atpp-1104	110	9	?	?	PUNCT
atpp-1104	111	1	if	if	SCONJ
atpp-1104	111	2	not	not	PART
atpp-1104	111	3	,	,	PUNCT
atpp-1104	111	4	could	could	AUX
atpp-1104	111	5	you	you	PRON
atpp-1104	111	6	make	make	VERB
atpp-1104	111	7	a	a	DET
atpp-1104	111	8	guess	guess	NOUN
atpp-1104	111	9	based	base	VERB
atpp-1104	111	10	on	on	ADP
atpp-1104	111	11	your	your	PRON
atpp-1104	111	12	understanding	understanding	NOUN
atpp-1104	111	13	of	of	ADP
atpp-1104	111	14	the	the	DET
atpp-1104	111	15	term	term	NOUN
atpp-1104	111	16	“	"	PUNCT
atpp-1104	111	17	continuum	continuum	ADJ
atpp-1104	111	18	.	.	PUNCT
atpp-1104	111	19	”	"	PUNCT
atpp-1104	112	1	4	4	NUM
atpp-1104	112	2	.	.	X
atpp-1104	112	3	equality	equality	NOUN
atpp-1104	112	4	and	and	CCONJ
atpp-1104	112	5	equation	equation	NOUN
atpp-1104	112	6	:	:	PUNCT
atpp-1104	112	7	algebra	algebra	NOUN
atpp-1104	112	8	from	from	ADP
atpp-1104	112	9	diophantus	diophantus	NOUN
atpp-1104	112	10	,	,	PUNCT
atpp-1104	112	11	to	to	AUX
atpp-1104	112	12	cardano	cardano	NOUN
atpp-1104	112	13	and	and	CCONJ
atpp-1104	112	14	then	then	ADV
atpp-1104	112	15	to	to	ADP
atpp-1104	112	16	dr	dr	PROPN
atpp-1104	112	17	.	.	PROPN
atpp-1104	112	18	noether	noether	PROPN
atpp-1104	112	19	.	.	PUNCT
atpp-1104	113	1	may	may	AUX
atpp-1104	113	2	mathematical	mathematical	VERB
atpp-1104	113	3	statements	statement	NOUN
atpp-1104	113	4	be	be	AUX
atpp-1104	113	5	understood	understand	VERB
atpp-1104	113	6	in	in	ADP
atpp-1104	113	7	the	the	DET
atpp-1104	113	8	same	same	ADJ
atpp-1104	113	9	way	way	NOUN
atpp-1104	113	10	as	as	ADP
atpp-1104	113	11	ordinary	ordinary	ADJ
atpp-1104	113	12	statements	statement	NOUN
atpp-1104	113	13	?	?	PUNCT
atpp-1104	114	1	for	for	ADP
atpp-1104	114	2	instance	instance	NOUN
atpp-1104	114	3	,	,	PUNCT
atpp-1104	114	4	statements	statement	NOUN
atpp-1104	114	5	of	of	ADP
atpp-1104	114	6	equality	equality	NOUN
atpp-1104	114	7	or	or	CCONJ
atpp-1104	114	8	equation	equation	NOUN
atpp-1104	114	9	?	?	PUNCT
atpp-1104	115	1	5	5	X
atpp-1104	115	2	.	.	X
atpp-1104	115	3	euclidean	euclidean	ADJ
atpp-1104	115	4	geometry	geometry	NOUN
atpp-1104	115	5	and	and	CCONJ
atpp-1104	115	6	non	non	ADJ
atpp-1104	115	7	-	-	ADJ
atpp-1104	115	8	euclidean	euclidean	ADJ
atpp-1104	115	9	geometries	geometry	NOUN
atpp-1104	115	10	:	:	PUNCT
atpp-1104	115	11	from	from	ADP
atpp-1104	115	12	the	the	DET
atpp-1104	115	13	ancient	ancient	ADJ
atpp-1104	115	14	egypt	egypt	PROPN
atpp-1104	115	15	surveyors	surveyor	NOUN
atpp-1104	115	16	to	to	PART
atpp-1104	115	17	lobachevski	lobachevski	PROPN
atpp-1104	115	18	’s	’s	PART
atpp-1104	115	19	creation	creation	NOUN
atpp-1104	115	20	.	.	PUNCT
atpp-1104	116	1	can	can	AUX
atpp-1104	116	2	you	you	PRON
atpp-1104	116	3	see	see	VERB
atpp-1104	116	4	any	any	DET
atpp-1104	116	5	difference	difference	NOUN
atpp-1104	116	6	in	in	ADP
atpp-1104	116	7	the	the	DET
atpp-1104	116	8	statements	statement	NOUN
atpp-1104	116	9	,	,	PUNCT
atpp-1104	116	10	“	"	PUNCT
atpp-1104	116	11	between	between	ADP
atpp-1104	116	12	any	any	DET
atpp-1104	116	13	two	two	NUM
atpp-1104	116	14	points	point	NOUN
atpp-1104	116	15	one	one	PRON
atpp-1104	116	16	can	can	AUX
atpp-1104	116	17	draw	draw	VERB
atpp-1104	116	18	a	a	DET
atpp-1104	116	19	straight	straight	ADJ
atpp-1104	116	20	line	line	NOUN
atpp-1104	116	21	”	"	PUNCT
atpp-1104	116	22	(	(	PUNCT
atpp-1104	116	23	euclid	euclid	PROPN
atpp-1104	116	24	)	)	PUNCT
atpp-1104	116	25	and	and	CCONJ
atpp-1104	116	26	“	"	PUNCT
atpp-1104	116	27	between	between	ADP
atpp-1104	116	28	any	any	DET
atpp-1104	116	29	two	two	NUM
atpp-1104	116	30	points	point	NOUN
atpp-1104	116	31	there	there	PRON
atpp-1104	116	32	is	be	VERB
atpp-1104	116	33	a	a	DET
atpp-1104	116	34	straight	straight	ADJ
atpp-1104	116	35	line	line	NOUN
atpp-1104	116	36	”	"	PUNCT
atpp-1104	116	37	(	(	PUNCT
atpp-1104	116	38	hilbert	hilbert	NOUN
atpp-1104	116	39	)	)	PUNCT
atpp-1104	116	40	?	?	PUNCT
atpp-1104	117	1	why	why	SCONJ
atpp-1104	117	2	is	be	AUX
atpp-1104	117	3	the	the	DET
atpp-1104	117	4	golden	golden	ADJ
atpp-1104	117	5	ratio	ratio	NOUN
atpp-1104	117	6	so	so	ADV
atpp-1104	117	7	prevalent	prevalent	ADJ
atpp-1104	117	8	in	in	ADP
atpp-1104	117	9	nature	nature	NOUN
atpp-1104	117	10	?	?	PUNCT
atpp-1104	118	1	how	how	SCONJ
atpp-1104	118	2	many	many	ADJ
atpp-1104	118	3	dimensions	dimension	NOUN
atpp-1104	118	4	have	have	VERB
atpp-1104	118	5	a	a	DET
atpp-1104	118	6	curved	curved	ADJ
atpp-1104	118	7	plane	plane	NOUN
atpp-1104	118	8	?	?	PUNCT
atpp-1104	119	1	are	be	AUX
atpp-1104	119	2	mathematical	mathematical	ADJ
atpp-1104	119	3	concepts	concept	NOUN
atpp-1104	119	4	and	and	CCONJ
atpp-1104	119	5	truths	truth	NOUN
atpp-1104	119	6	discovered	discover	VERB
atpp-1104	119	7	or	or	CCONJ
atpp-1104	119	8	invented	invent	VERB
atpp-1104	119	9	?	?	PUNCT
atpp-1104	120	1	6	6	X
atpp-1104	120	2	.	.	X
atpp-1104	120	3	existence	existence	NOUN
atpp-1104	120	4	and	and	CCONJ
atpp-1104	120	5	construction	construction	NOUN
atpp-1104	120	6	in	in	ADP
atpp-1104	120	7	mathematics	mathematic	NOUN
atpp-1104	120	8	.	.	PUNCT
atpp-1104	121	1	do	do	AUX
atpp-1104	121	2	mathematical	mathematical	ADJ
atpp-1104	121	3	objects	object	NOUN
atpp-1104	121	4	(	(	PUNCT
atpp-1104	121	5	sets	set	NOUN
atpp-1104	121	6	,	,	PUNCT
atpp-1104	121	7	numbers	number	NOUN
atpp-1104	121	8	,	,	PUNCT
atpp-1104	121	9	lines	line	NOUN
atpp-1104	121	10	,	,	PUNCT
atpp-1104	121	11	functions	function	NOUN
atpp-1104	121	12	,	,	PUNCT
atpp-1104	121	13	circles	circle	NOUN
atpp-1104	121	14	,	,	PUNCT
atpp-1104	121	15	etc	etc	X
atpp-1104	121	16	.	.	X
atpp-1104	121	17	)	)	PUNCT
atpp-1104	121	18	actually	actually	ADV
atpp-1104	121	19	exist	exist	VERB
atpp-1104	121	20	?	?	PUNCT
atpp-1104	122	1	are	be	AUX
atpp-1104	122	2	there	there	PRON
atpp-1104	122	3	mathematical	mathematical	ADJ
atpp-1104	122	4	properties	property	NOUN
atpp-1104	122	5	which	which	PRON
atpp-1104	122	6	a	a	DET
atpp-1104	122	7	mathematical	mathematical	ADJ
atpp-1104	122	8	object	object	NOUN
atpp-1104	122	9	might	might	AUX
atpp-1104	122	10	have	have	VERB
atpp-1104	122	11	only	only	ADV
atpp-1104	122	12	contingently	contingently	ADV
atpp-1104	122	13	?	?	PUNCT
atpp-1104	123	1	does	do	AUX
atpp-1104	123	2	the	the	DET
atpp-1104	123	3	existence	existence	NOUN
atpp-1104	123	4	of	of	ADP
atpp-1104	123	5	a	a	DET
atpp-1104	123	6	mobius	mobius	PROPN
atpp-1104	123	7	strip	strip	NOUN
atpp-1104	123	8	prove	prove	VERB
atpp-1104	123	9	that	that	SCONJ
atpp-1104	123	10	mathematical	mathematical	ADJ
atpp-1104	123	11	objects	object	NOUN
atpp-1104	123	12	are	be	AUX
atpp-1104	123	13	true	true	ADJ
atpp-1104	123	14	?	?	PUNCT
atpp-1104	124	1	how	how	SCONJ
atpp-1104	124	2	can	can	AUX
atpp-1104	124	3	we	we	PRON
atpp-1104	124	4	rationalize	rationalize	VERB
atpp-1104	124	5	the	the	DET
atpp-1104	124	6	fact	fact	NOUN
atpp-1104	124	7	that	that	SCONJ
atpp-1104	124	8	complex	complex	ADJ
atpp-1104	124	9	numbers	number	NOUN
atpp-1104	124	10	exist	exist	VERB
atpp-1104	124	11	?	?	PUNCT
atpp-1104	125	1	7	7	X
atpp-1104	125	2	.	.	X
atpp-1104	125	3	geometry	geometry	NOUN
atpp-1104	125	4	,	,	PUNCT
atpp-1104	125	5	arithmetic	arithmetic	ADJ
atpp-1104	125	6	and	and	CCONJ
atpp-1104	125	7	their	their	PRON
atpp-1104	125	8	mutual	mutual	ADJ
atpp-1104	125	9	relationships	relationship	NOUN
atpp-1104	125	10	.	.	PUNCT
atpp-1104	126	1	newton	newton	PROPN
atpp-1104	126	2	declared	declare	VERB
atpp-1104	126	3	that	that	SCONJ
atpp-1104	126	4	“	"	PUNCT
atpp-1104	126	5	geometry	geometry	NOUN
atpp-1104	126	6	is	be	AUX
atpp-1104	126	7	founded	found	VERB
atpp-1104	126	8	on	on	ADP
atpp-1104	126	9	mechanical	mechanical	ADJ
atpp-1104	126	10	practice	practice	NOUN
atpp-1104	126	11	.	.	PUNCT
atpp-1104	126	12	”	"	PUNCT
atpp-1104	127	1	what	what	PRON
atpp-1104	127	2	could	could	AUX
atpp-1104	127	3	he	he	PRON
atpp-1104	127	4	have	have	AUX
atpp-1104	127	5	meant	mean	VERB
atpp-1104	127	6	?	?	PUNCT
atpp-1104	128	1	descartes	descarte	NOUN
atpp-1104	128	2	postulated	postulate	VERB
atpp-1104	128	3	that	that	SCONJ
atpp-1104	128	4	“	"	PUNCT
atpp-1104	128	5	geometrical	geometrical	ADJ
atpp-1104	128	6	”	"	PUNCT
atpp-1104	128	7	curves	curve	NOUN
atpp-1104	128	8	are	be	AUX
atpp-1104	128	9	“	"	PUNCT
atpp-1104	128	10	those	those	PRON
atpp-1104	128	11	which	which	PRON
atpp-1104	128	12	are	be	AUX
atpp-1104	128	13	amenable	amenable	ADJ
atpp-1104	128	14	to	to	ADP
atpp-1104	128	15	precise	precise	ADJ
atpp-1104	128	16	and	and	CCONJ
atpp-1104	128	17	exact	exact	ADJ
atpp-1104	128	18	measurement	measurement	NOUN
atpp-1104	128	19	.	.	PUNCT
atpp-1104	128	20	”	"	PUNCT
atpp-1104	129	1	compare	compare	VERB
atpp-1104	129	2	this	this	DET
atpp-1104	129	3	statement	statement	NOUN
atpp-1104	129	4	with	with	ADP
atpp-1104	129	5	the	the	DET
atpp-1104	129	6	euclidean	euclidean	ADJ
atpp-1104	129	7	concept	concept	NOUN
atpp-1104	129	8	of	of	ADP
atpp-1104	129	9	a	a	DET
atpp-1104	129	10	curve	curve	NOUN
atpp-1104	129	11	.	.	PUNCT
atpp-1104	130	1	8	8	X
atpp-1104	130	2	.	.	X
atpp-1104	130	3	randomness	randomness	NOUN
atpp-1104	130	4	,	,	PUNCT
atpp-1104	130	5	probability	probability	NOUN
atpp-1104	130	6	and	and	CCONJ
atpp-1104	130	7	finally	finally	ADV
atpp-1104	130	8	statistics	statistic	VERB
atpp-1104	130	9	.	.	PUNCT
atpp-1104	131	1	is	be	AUX
atpp-1104	131	2	there	there	PRON
atpp-1104	131	3	any	any	DET
atpp-1104	131	4	difference	difference	NOUN
atpp-1104	131	5	between	between	ADP
atpp-1104	131	6	“	"	PUNCT
atpp-1104	131	7	randomness	randomness	NOUN
atpp-1104	131	8	”	"	PUNCT
atpp-1104	131	9	and	and	CCONJ
atpp-1104	131	10	“	"	PUNCT
atpp-1104	131	11	anything	anything	PRON
atpp-1104	131	12	can	can	AUX
atpp-1104	131	13	happen	happen	VERB
atpp-1104	131	14	”	"	PUNCT
atpp-1104	131	15	?	?	PUNCT
atpp-1104	132	1	what	what	PRON
atpp-1104	132	2	does	do	AUX
atpp-1104	132	3	“	"	PUNCT
atpp-1104	132	4	probable	probable	ADJ
atpp-1104	132	5	”	"	PUNCT
atpp-1104	132	6	mean	mean	NOUN
atpp-1104	132	7	?	?	PUNCT
atpp-1104	133	1	can	can	AUX
atpp-1104	133	2	every	every	DET
atpp-1104	133	3	statement	statement	NOUN
atpp-1104	133	4	be	be	AUX
atpp-1104	133	5	assigned	assign	VERB
atpp-1104	133	6	a	a	DET
atpp-1104	133	7	numerical	numerical	ADJ
atpp-1104	133	8	probability	probability	NOUN
atpp-1104	133	9	related	relate	VERB
atpp-1104	133	10	to	to	ADP
atpp-1104	133	11	the	the	DET
atpp-1104	133	12	given	give	VERB
atpp-1104	133	13	evidence	evidence	NOUN
atpp-1104	133	14	?	?	PUNCT
atpp-1104	134	1	analytic	analytic	ADJ
atpp-1104	134	2	teaching	teaching	NOUN
atpp-1104	134	3	and	and	CCONJ
atpp-1104	134	4	philosophical	philosophical	ADJ
atpp-1104	134	5	praxis	praxis	ADJ
atpp-1104	134	6	vol	vol	NOUN
atpp-1104	134	7	.	.	PUNCT
atpp-1104	135	1	34	34	NUM
atpp-1104	135	2	issue	issue	NOUN
atpp-1104	135	3	1	1	NUM
atpp-1104	135	4	76	76	NUM
atpp-1104	135	5	can	can	AUX
atpp-1104	135	6	we	we	PRON
atpp-1104	135	7	assign	assign	VERB
atpp-1104	135	8	probability	probability	NOUN
atpp-1104	135	9	to	to	ADP
atpp-1104	135	10	a	a	DET
atpp-1104	135	11	person	person	NOUN
atpp-1104	135	12	’s	’s	PART
atpp-1104	135	13	rational	rational	ADJ
atpp-1104	135	14	act	act	NOUN
atpp-1104	135	15	?	?	PUNCT
atpp-1104	136	1	9	9	NUM
atpp-1104	136	2	.	.	X
atpp-1104	136	3	justification	justification	NOUN
atpp-1104	136	4	and	and	CCONJ
atpp-1104	136	5	proof	proof	NOUN
atpp-1104	136	6	in	in	ADP
atpp-1104	136	7	mathematics	mathematic	NOUN
atpp-1104	136	8	what	what	PRON
atpp-1104	136	9	truth	truth	NOUN
atpp-1104	136	10	is	be	AUX
atpp-1104	136	11	expressed	express	VERB
atpp-1104	136	12	by	by	ADP
atpp-1104	136	13	a	a	DET
atpp-1104	136	14	mathematical	mathematical	ADJ
atpp-1104	136	15	statement	statement	NOUN
atpp-1104	136	16	?	?	PUNCT
atpp-1104	136	17	is	be	AUX
atpp-1104	136	18	a	a	DET
atpp-1104	136	19	truth	truth	NOUN
atpp-1104	136	20	in	in	ADP
atpp-1104	136	21	mathematics	mathematic	NOUN
atpp-1104	136	22	about	about	ADP
atpp-1104	136	23	objects	object	NOUN
atpp-1104	136	24	,	,	PUNCT
atpp-1104	136	25	concepts	concept	NOUN
atpp-1104	136	26	or	or	CCONJ
atpp-1104	136	27	neither	neither	PRON
atpp-1104	136	28	?	?	PUNCT
atpp-1104	137	1	from	from	ADP
atpp-1104	137	2	where	where	SCONJ
atpp-1104	137	3	is	be	AUX
atpp-1104	137	4	the	the	DET
atpp-1104	137	5	indispensability	indispensability	NOUN
atpp-1104	137	6	of	of	ADP
atpp-1104	137	7	a	a	DET
atpp-1104	137	8	mathematical	mathematical	ADJ
atpp-1104	137	9	argument	argument	NOUN
atpp-1104	137	10	derived	derive	VERB
atpp-1104	137	11	?	?	PUNCT
atpp-1104	138	1	10	10	NUM
atpp-1104	138	2	.	.	PUNCT
atpp-1104	139	1	axiomatic	axiomatic	ADJ
atpp-1104	139	2	systems	system	NOUN
atpp-1104	139	3	and	and	CCONJ
atpp-1104	139	4	the	the	DET
atpp-1104	139	5	foundations	foundation	NOUN
atpp-1104	139	6	of	of	ADP
atpp-1104	139	7	mathematics	mathematic	NOUN
atpp-1104	139	8	:	:	PUNCT
atpp-1104	139	9	from	from	ADP
atpp-1104	139	10	euclid	euclid	PROPN
atpp-1104	139	11	to	to	ADP
atpp-1104	139	12	the	the	DET
atpp-1104	139	13	foundational	foundational	ADJ
atpp-1104	139	14	schools	school	NOUN
atpp-1104	139	15	of	of	ADP
atpp-1104	139	16	the	the	DET
atpp-1104	139	17	19th	19th	ADJ
atpp-1104	139	18	century	century	NOUN
atpp-1104	139	19	.	.	PUNCT
atpp-1104	140	1	what	what	PRON
atpp-1104	140	2	do	do	AUX
atpp-1104	140	3	mathematical	mathematical	ADJ
atpp-1104	140	4	statements	statement	NOUN
atpp-1104	140	5	mean	mean	VERB
atpp-1104	140	6	?	?	PUNCT
atpp-1104	141	1	what	what	PRON
atpp-1104	141	2	is	be	AUX
atpp-1104	141	3	the	the	DET
atpp-1104	141	4	organization	organization	NOUN
atpp-1104	141	5	of	of	ADP
atpp-1104	141	6	mathematics	mathematic	NOUN
atpp-1104	141	7	concepts	concept	NOUN
atpp-1104	141	8	in	in	ADP
atpp-1104	141	9	axiomatic	axiomatic	ADJ
atpp-1104	141	10	systems	system	NOUN
atpp-1104	141	11	?	?	PUNCT
atpp-1104	142	1	what	what	PRON
atpp-1104	142	2	differences	difference	NOUN
atpp-1104	142	3	and	and	CCONJ
atpp-1104	142	4	similarities	similarity	NOUN
atpp-1104	142	5	can	can	AUX
atpp-1104	142	6	you	you	PRON
atpp-1104	142	7	identify	identify	VERB
atpp-1104	142	8	in	in	ADP
atpp-1104	142	9	euclid	euclid	PROPN
atpp-1104	142	10	’s	’s	PART
atpp-1104	142	11	axioms	axiom	NOUN
atpp-1104	142	12	for	for	ADP
atpp-1104	142	13	geometry	geometry	NOUN
atpp-1104	142	14	and	and	CCONJ
atpp-1104	142	15	in	in	ADP
atpp-1104	142	16	peano	peano	NOUN
atpp-1104	142	17	’s	’s	PART
atpp-1104	142	18	axioms	axiom	NOUN
atpp-1104	142	19	for	for	ADP
atpp-1104	142	20	natural	natural	ADJ
atpp-1104	142	21	numbers	number	NOUN
atpp-1104	142	22	?	?	PUNCT
atpp-1104	143	1	what	what	PRON
atpp-1104	143	2	do	do	AUX
atpp-1104	143	3	the	the	DET
atpp-1104	143	4	axiomatic	axiomatic	ADJ
atpp-1104	143	5	organization	organization	NOUN
atpp-1104	143	6	of	of	ADP
atpp-1104	143	7	mathematics	mathematic	NOUN
atpp-1104	143	8	concepts	concept	NOUN
atpp-1104	143	9	mean	mean	VERB
atpp-1104	143	10	for	for	ADP
atpp-1104	143	11	their	their	PRON
atpp-1104	143	12	relation	relation	NOUN
atpp-1104	143	13	to	to	ADP
atpp-1104	143	14	real	real	ADJ
atpp-1104	143	15	world	world	NOUN
atpp-1104	143	16	situations	situation	NOUN
atpp-1104	143	17	?	?	PUNCT
atpp-1104	144	1	have	have	AUX
atpp-1104	144	2	you	you	PRON
atpp-1104	144	3	ever	ever	ADV
atpp-1104	144	4	heard	hear	VERB
atpp-1104	144	5	the	the	DET
atpp-1104	144	6	terms	term	NOUN
atpp-1104	144	7	“	"	PUNCT
atpp-1104	144	8	logicism	logicism	NOUN
atpp-1104	144	9	,	,	PUNCT
atpp-1104	144	10	”	"	PUNCT
atpp-1104	144	11	“	"	PUNCT
atpp-1104	144	12	formalism	formalism	NOUN
atpp-1104	144	13	”	"	PUNCT
atpp-1104	144	14	or	or	CCONJ
atpp-1104	144	15	“	"	PUNCT
atpp-1104	144	16	intuitionism	intuitionism	NOUN
atpp-1104	144	17	”	"	PUNCT
atpp-1104	144	18	?	?	PUNCT
atpp-1104	145	1	what	what	PRON
atpp-1104	145	2	do	do	AUX
atpp-1104	145	3	you	you	PRON
atpp-1104	145	4	think	think	VERB
atpp-1104	145	5	they	they	PRON
atpp-1104	145	6	mean	mean	VERB
atpp-1104	145	7	in	in	ADP
atpp-1104	145	8	mathematics	mathematic	NOUN
atpp-1104	145	9	?	?	PUNCT
atpp-1104	146	1	what	what	PRON
atpp-1104	146	2	are	be	AUX
atpp-1104	146	3	the	the	DET
atpp-1104	146	4	foundations	foundation	NOUN
atpp-1104	146	5	of	of	ADP
atpp-1104	146	6	mathematics	mathematic	NOUN
atpp-1104	146	7	?	?	PUNCT
atpp-1104	147	1	11	11	NUM
atpp-1104	147	2	.	.	PUNCT
atpp-1104	148	1	the	the	DET
atpp-1104	148	2	story	story	NOUN
atpp-1104	148	3	continued	continue	VERB
atpp-1104	148	4	:	:	PUNCT
atpp-1104	148	5	the	the	DET
atpp-1104	148	6	foundations	foundation	NOUN
atpp-1104	148	7	of	of	ADP
atpp-1104	148	8	mathematics	mathematic	NOUN
atpp-1104	148	9	and	and	CCONJ
atpp-1104	148	10	the	the	DET
atpp-1104	148	11	strange	strange	ADJ
atpp-1104	148	12	dr	dr	PROPN
atpp-1104	148	13	.	.	PROPN
atpp-1104	148	14	gödel	gödel	PROPN
atpp-1104	148	15	.	.	PUNCT
atpp-1104	149	1	is	be	AUX
atpp-1104	149	2	the	the	DET
atpp-1104	149	3	view	view	NOUN
atpp-1104	149	4	that	that	SCONJ
atpp-1104	149	5	“	"	PUNCT
atpp-1104	149	6	mathematics	mathematic	NOUN
atpp-1104	149	7	is	be	AUX
atpp-1104	149	8	a	a	DET
atpp-1104	149	9	game	game	NOUN
atpp-1104	149	10	with	with	ADP
atpp-1104	149	11	signs	sign	NOUN
atpp-1104	149	12	”	"	PUNCT
atpp-1104	149	13	tenable	tenable	ADJ
atpp-1104	149	14	or	or	CCONJ
atpp-1104	149	15	not	not	PART
atpp-1104	149	16	?	?	PUNCT
atpp-1104	150	1	12	12	NUM
atpp-1104	150	2	…	…	PUNCT
atpp-1104	150	3	what	what	PRON
atpp-1104	150	4	shall	shall	AUX
atpp-1104	150	5	we	we	PRON
atpp-1104	150	6	do	do	VERB
atpp-1104	150	7	with	with	ADP
atpp-1104	150	8	mathematics	mathematic	NOUN
atpp-1104	150	9	now	now	ADV
atpp-1104	150	10	dr	dr	PROPN
atpp-1104	150	11	.	.	PROPN
atpp-1104	150	12	lakatos	lakatos	PROPN
atpp-1104	150	13	?	?	PUNCT
atpp-1104	151	1	do	do	AUX
atpp-1104	151	2	you	you	PRON
atpp-1104	151	3	think	think	VERB
atpp-1104	151	4	that	that	SCONJ
atpp-1104	151	5	mathematics	mathematic	NOUN
atpp-1104	151	6	has	have	VERB
atpp-1104	151	7	any	any	DET
atpp-1104	151	8	similarities	similarity	NOUN
atpp-1104	151	9	to	to	ADP
atpp-1104	151	10	physics	physics	VERB
atpp-1104	151	11	?	?	PUNCT
atpp-1104	152	1	in	in	ADP
atpp-1104	152	2	the	the	DET
atpp-1104	152	3	above	above	ADJ
atpp-1104	152	4	course	course	NOUN
atpp-1104	152	5	of	of	ADP
atpp-1104	152	6	teaching	teaching	NOUN
atpp-1104	152	7	units	unit	NOUN
atpp-1104	152	8	,	,	PUNCT
atpp-1104	152	9	there	there	PRON
atpp-1104	152	10	may	may	AUX
atpp-1104	152	11	be	be	AUX
atpp-1104	152	12	the	the	DET
atpp-1104	152	13	possibility	possibility	NOUN
atpp-1104	152	14	that	that	SCONJ
atpp-1104	152	15	a	a	DET
atpp-1104	152	16	fragmented	fragmented	ADJ
atpp-1104	152	17	introduction	introduction	NOUN
atpp-1104	152	18	to	to	ADP
atpp-1104	152	19	the	the	DET
atpp-1104	152	20	philosophy	philosophy	NOUN
atpp-1104	152	21	of	of	ADP
atpp-1104	152	22	mathematics	mathematic	NOUN
atpp-1104	152	23	could	could	AUX
atpp-1104	152	24	lead	lead	VERB
atpp-1104	152	25	students	student	NOUN
atpp-1104	152	26	to	to	ADP
atpp-1104	152	27	confusion	confusion	NOUN
atpp-1104	152	28	and	and	CCONJ
atpp-1104	152	29	misunderstanding	misunderstanding	NOUN
atpp-1104	152	30	of	of	ADP
atpp-1104	152	31	some	some	DET
atpp-1104	152	32	issues	issue	NOUN
atpp-1104	152	33	concerning	concern	VERB
atpp-1104	152	34	the	the	DET
atpp-1104	152	35	philosophical	philosophical	ADJ
atpp-1104	152	36	views	view	NOUN
atpp-1104	152	37	of	of	ADP
atpp-1104	152	38	mathematics	mathematic	NOUN
atpp-1104	152	39	.	.	PUNCT
atpp-1104	153	1	this	this	PRON
atpp-1104	153	2	is	be	AUX
atpp-1104	153	3	actually	actually	ADV
atpp-1104	153	4	a	a	DET
atpp-1104	153	5	risk	risk	NOUN
atpp-1104	153	6	underlying	underlie	VERB
atpp-1104	153	7	the	the	DET
atpp-1104	153	8	implementation	implementation	NOUN
atpp-1104	153	9	of	of	ADP
atpp-1104	153	10	this	this	DET
atpp-1104	153	11	course	course	NOUN
atpp-1104	153	12	.	.	PUNCT
atpp-1104	154	1	however	however	ADV
atpp-1104	154	2	,	,	PUNCT
atpp-1104	154	3	it	it	PRON
atpp-1104	154	4	is	be	AUX
atpp-1104	154	5	compensated	compensate	VERB
atpp-1104	154	6	by	by	ADP
atpp-1104	154	7	the	the	DET
atpp-1104	154	8	power	power	NOUN
atpp-1104	154	9	to	to	PART
atpp-1104	154	10	raise	raise	VERB
atpp-1104	154	11	and	and	CCONJ
atpp-1104	154	12	to	to	PART
atpp-1104	154	13	keep	keep	VERB
atpp-1104	154	14	alive	alive	ADJ
atpp-1104	154	15	the	the	DET
atpp-1104	154	16	interest	interest	NOUN
atpp-1104	154	17	of	of	ADP
atpp-1104	154	18	the	the	DET
atpp-1104	154	19	participants	participant	NOUN
atpp-1104	154	20	through	through	ADP
atpp-1104	154	21	the	the	DET
atpp-1104	154	22	variety	variety	NOUN
atpp-1104	154	23	of	of	ADP
atpp-1104	154	24	presented	present	VERB
atpp-1104	154	25	and	and	CCONJ
atpp-1104	154	26	discussed	discuss	VERB
atpp-1104	154	27	topics	topic	NOUN
atpp-1104	154	28	.	.	PUNCT
atpp-1104	155	1	briefly	briefly	ADV
atpp-1104	155	2	,	,	PUNCT
atpp-1104	155	3	this	this	DET
atpp-1104	155	4	course	course	NOUN
atpp-1104	155	5	suffers	suffer	VERB
atpp-1104	155	6	from	from	ADP
atpp-1104	155	7	the	the	DET
atpp-1104	155	8	lack	lack	NOUN
atpp-1104	155	9	of	of	ADP
atpp-1104	155	10	a	a	DET
atpp-1104	155	11	comprehensive	comprehensive	ADJ
atpp-1104	155	12	introduction	introduction	NOUN
atpp-1104	155	13	to	to	ADP
atpp-1104	155	14	the	the	DET
atpp-1104	155	15	philosophy	philosophy	NOUN
atpp-1104	155	16	of	of	ADP
atpp-1104	155	17	mathematics	mathematic	NOUN
atpp-1104	155	18	but	but	CCONJ
atpp-1104	155	19	has	have	VERB
atpp-1104	155	20	the	the	DET
atpp-1104	155	21	advantage	advantage	NOUN
atpp-1104	155	22	of	of	ADP
atpp-1104	155	23	offering	offer	VERB
atpp-1104	155	24	an	an	DET
atpp-1104	155	25	anthology	anthology	NOUN
atpp-1104	155	26	of	of	ADP
atpp-1104	155	27	the	the	DET
atpp-1104	155	28	philosophy	philosophy	NOUN
atpp-1104	155	29	of	of	ADP
atpp-1104	155	30	mathematical	mathematical	ADJ
atpp-1104	155	31	issues	issue	NOUN
atpp-1104	155	32	.	.	PUNCT
atpp-1104	156	1	analytic	analytic	ADJ
atpp-1104	156	2	teaching	teaching	NOUN
atpp-1104	156	3	and	and	CCONJ
atpp-1104	156	4	philosophical	philosophical	ADJ
atpp-1104	156	5	praxis	praxis	ADJ
atpp-1104	156	6	vol	vol	NOUN
atpp-1104	156	7	.	.	PUNCT
atpp-1104	157	1	34	34	NUM
atpp-1104	157	2	issue	issue	NOUN
atpp-1104	157	3	1	1	NUM
atpp-1104	157	4	77	77	NUM
atpp-1104	157	5	feedback	feedback	NOUN
atpp-1104	157	6	and	and	CCONJ
atpp-1104	157	7	evaluation	evaluation	NOUN
atpp-1104	157	8	of	of	ADP
atpp-1104	157	9	the	the	DET
atpp-1104	157	10	course	course	NOUN
atpp-1104	157	11	the	the	DET
atpp-1104	157	12	course	course	NOUN
atpp-1104	157	13	outlined	outline	VERB
atpp-1104	157	14	above	above	ADV
atpp-1104	157	15	has	have	AUX
atpp-1104	157	16	been	be	AUX
atpp-1104	157	17	running	run	VERB
atpp-1104	157	18	for	for	ADP
atpp-1104	157	19	the	the	DET
atpp-1104	157	20	last	last	ADJ
atpp-1104	157	21	four	four	NUM
atpp-1104	157	22	years	year	NOUN
atpp-1104	157	23	in	in	ADP
atpp-1104	157	24	the	the	DET
atpp-1104	157	25	faculty	faculty	NOUN
atpp-1104	157	26	of	of	ADP
atpp-1104	157	27	early	early	ADJ
atpp-1104	157	28	childhood	childhood	NOUN
atpp-1104	157	29	education	education	NOUN
atpp-1104	157	30	at	at	ADP
atpp-1104	157	31	the	the	DET
atpp-1104	157	32	university	university	PROPN
atpp-1104	157	33	of	of	ADP
atpp-1104	157	34	athens	athens	PROPN
atpp-1104	157	35	in	in	ADP
atpp-1104	157	36	greece	greece	PROPN
atpp-1104	157	37	.	.	PUNCT
atpp-1104	158	1	after	after	ADP
atpp-1104	158	2	the	the	DET
atpp-1104	158	3	completion	completion	NOUN
atpp-1104	158	4	of	of	ADP
atpp-1104	158	5	the	the	DET
atpp-1104	158	6	course	course	NOUN
atpp-1104	158	7	the	the	DET
atpp-1104	158	8	students	student	NOUN
atpp-1104	158	9	who	who	PRON
atpp-1104	158	10	have	have	AUX
atpp-1104	158	11	participated	participate	VERB
atpp-1104	158	12	are	be	AUX
atpp-1104	158	13	asked	ask	VERB
atpp-1104	158	14	to	to	PART
atpp-1104	158	15	write	write	VERB
atpp-1104	158	16	a	a	DET
atpp-1104	158	17	short	short	ADJ
atpp-1104	158	18	anonymous	anonymous	ADJ
atpp-1104	158	19	report	report	NOUN
atpp-1104	158	20	evaluating	evaluate	VERB
atpp-1104	158	21	the	the	DET
atpp-1104	158	22	main	main	ADJ
atpp-1104	158	23	aspects	aspect	NOUN
atpp-1104	158	24	of	of	ADP
atpp-1104	158	25	the	the	DET
atpp-1104	158	26	course	course	NOUN
atpp-1104	158	27	.	.	PUNCT
atpp-1104	159	1	they	they	PRON
atpp-1104	159	2	are	be	AUX
atpp-1104	159	3	requested	request	VERB
atpp-1104	159	4	to	to	PART
atpp-1104	159	5	describe	describe	VERB
atpp-1104	159	6	the	the	DET
atpp-1104	159	7	most	most	ADV
atpp-1104	159	8	important	important	ADJ
atpp-1104	159	9	benefits	benefit	NOUN
atpp-1104	159	10	that	that	PRON
atpp-1104	159	11	they	they	PRON
atpp-1104	159	12	had	have	VERB
atpp-1104	159	13	from	from	ADP
atpp-1104	159	14	following	follow	VERB
atpp-1104	159	15	the	the	DET
atpp-1104	159	16	course	course	NOUN
atpp-1104	159	17	,	,	PUNCT
atpp-1104	159	18	and	and	CCONJ
atpp-1104	159	19	identify	identify	VERB
atpp-1104	159	20	the	the	DET
atpp-1104	159	21	main	main	ADJ
atpp-1104	159	22	obstacles	obstacle	NOUN
atpp-1104	159	23	which	which	PRON
atpp-1104	159	24	they	they	PRON
atpp-1104	159	25	encountered	encounter	VERB
atpp-1104	159	26	during	during	ADP
atpp-1104	159	27	the	the	DET
atpp-1104	159	28	lectures	lecture	NOUN
atpp-1104	159	29	and	and	CCONJ
atpp-1104	159	30	in	in	ADP
atpp-1104	159	31	participating	participate	VERB
atpp-1104	159	32	in	in	ADP
atpp-1104	159	33	the	the	DET
atpp-1104	159	34	discussions	discussion	NOUN
atpp-1104	159	35	taking	take	VERB
atpp-1104	159	36	place	place	NOUN
atpp-1104	159	37	as	as	ADP
atpp-1104	159	38	part	part	NOUN
atpp-1104	159	39	of	of	ADP
atpp-1104	159	40	the	the	DET
atpp-1104	159	41	course	course	NOUN
atpp-1104	159	42	.	.	PUNCT
atpp-1104	160	1	all	all	DET
atpp-1104	160	2	the	the	DET
atpp-1104	160	3	reports	report	NOUN
atpp-1104	160	4	were	be	AUX
atpp-1104	160	5	carefully	carefully	ADV
atpp-1104	160	6	examined	examine	VERB
atpp-1104	160	7	by	by	ADP
atpp-1104	160	8	a	a	DET
atpp-1104	160	9	team	team	NOUN
atpp-1104	160	10	,	,	PUNCT
atpp-1104	160	11	so	so	SCONJ
atpp-1104	160	12	that	that	SCONJ
atpp-1104	160	13	the	the	DET
atpp-1104	160	14	evaluative	evaluative	ADJ
atpp-1104	160	15	comments	comment	NOUN
atpp-1104	160	16	made	make	VERB
atpp-1104	160	17	by	by	ADP
atpp-1104	160	18	the	the	DET
atpp-1104	160	19	students	student	NOUN
atpp-1104	160	20	could	could	AUX
atpp-1104	160	21	be	be	AUX
atpp-1104	160	22	clearly	clearly	ADV
atpp-1104	160	23	elicited	elicit	VERB
atpp-1104	160	24	from	from	ADP
atpp-1104	160	25	their	their	PRON
atpp-1104	160	26	writing	writing	NOUN
atpp-1104	160	27	and	and	CCONJ
atpp-1104	160	28	the	the	DET
atpp-1104	160	29	resulting	result	VERB
atpp-1104	160	30	data	datum	NOUN
atpp-1104	160	31	could	could	AUX
atpp-1104	160	32	be	be	AUX
atpp-1104	160	33	thoroughly	thoroughly	ADV
atpp-1104	160	34	analyzed	analyze	VERB
atpp-1104	160	35	.	.	PUNCT
atpp-1104	161	1	from	from	ADP
atpp-1104	161	2	the	the	DET
atpp-1104	161	3	analysis	analysis	NOUN
atpp-1104	161	4	of	of	ADP
atpp-1104	161	5	the	the	DET
atpp-1104	161	6	evidence	evidence	NOUN
atpp-1104	161	7	collected	collect	VERB
atpp-1104	161	8	over	over	ADP
atpp-1104	161	9	the	the	DET
atpp-1104	161	10	four	four	NUM
atpp-1104	161	11	years	year	NOUN
atpp-1104	161	12	of	of	ADP
atpp-1104	161	13	the	the	DET
atpp-1104	161	14	implementation	implementation	NOUN
atpp-1104	161	15	of	of	ADP
atpp-1104	161	16	this	this	DET
atpp-1104	161	17	course	course	NOUN
atpp-1104	161	18	the	the	DET
atpp-1104	161	19	following	follow	VERB
atpp-1104	161	20	conclusions	conclusion	NOUN
atpp-1104	161	21	were	be	AUX
atpp-1104	161	22	drawn	draw	VERB
atpp-1104	161	23	,	,	PUNCT
atpp-1104	161	24	here	here	ADV
atpp-1104	161	25	briefly	briefly	ADV
atpp-1104	161	26	presented	present	VERB
atpp-1104	161	27	:	:	PUNCT
atpp-1104	161	28	(	(	PUNCT
atpp-1104	161	29	a	a	X
atpp-1104	161	30	)	)	PUNCT
atpp-1104	161	31	most	most	ADJ
atpp-1104	161	32	of	of	ADP
atpp-1104	161	33	the	the	DET
atpp-1104	161	34	students	student	NOUN
atpp-1104	161	35	pointed	point	VERB
atpp-1104	161	36	out	out	ADP
atpp-1104	161	37	that	that	SCONJ
atpp-1104	161	38	the	the	DET
atpp-1104	161	39	main	main	ADJ
atpp-1104	161	40	benefit	benefit	NOUN
atpp-1104	161	41	from	from	ADP
atpp-1104	161	42	attending	attend	VERB
atpp-1104	161	43	the	the	DET
atpp-1104	161	44	course	course	NOUN
atpp-1104	161	45	was	be	AUX
atpp-1104	161	46	the	the	DET
atpp-1104	161	47	actual	actual	ADJ
atpp-1104	161	48	conceptual	conceptual	ADJ
atpp-1104	161	49	reconstruction	reconstruction	NOUN
atpp-1104	161	50	they	they	PRON
atpp-1104	161	51	engaged	engage	VERB
atpp-1104	161	52	in	in	ADP
atpp-1104	161	53	,	,	PUNCT
atpp-1104	161	54	which	which	PRON
atpp-1104	161	55	was	be	AUX
atpp-1104	161	56	vaguely	vaguely	ADV
atpp-1104	161	57	described	describe	VERB
atpp-1104	161	58	as	as	ADP
atpp-1104	161	59	a	a	DET
atpp-1104	161	60	“	"	PUNCT
atpp-1104	161	61	change	change	NOUN
atpp-1104	161	62	of	of	ADP
atpp-1104	161	63	mind	mind	NOUN
atpp-1104	161	64	about	about	ADP
atpp-1104	161	65	mathematics	mathematic	NOUN
atpp-1104	161	66	,	,	PUNCT
atpp-1104	161	67	”	"	PUNCT
atpp-1104	161	68	a	a	DET
atpp-1104	161	69	“	"	PUNCT
atpp-1104	161	70	change	change	NOUN
atpp-1104	161	71	of	of	ADP
atpp-1104	161	72	my	my	PRON
atpp-1104	161	73	view	view	NOUN
atpp-1104	161	74	of	of	ADP
atpp-1104	161	75	mathematics	mathematic	NOUN
atpp-1104	161	76	”	"	PUNCT
atpp-1104	161	77	or	or	CCONJ
atpp-1104	161	78	a	a	DET
atpp-1104	161	79	“	"	PUNCT
atpp-1104	161	80	change	change	NOUN
atpp-1104	161	81	of	of	ADP
atpp-1104	161	82	my	my	PRON
atpp-1104	161	83	attitudes	attitude	NOUN
atpp-1104	161	84	towards	towards	ADP
atpp-1104	161	85	mathematics	mathematic	NOUN
atpp-1104	161	86	.	.	PUNCT
atpp-1104	161	87	”	"	PUNCT
atpp-1104	162	1	in	in	ADP
atpp-1104	162	2	every	every	DET
atpp-1104	162	3	case	case	NOUN
atpp-1104	162	4	,	,	PUNCT
atpp-1104	162	5	these	these	DET
atpp-1104	162	6	“	"	PUNCT
atpp-1104	162	7	changes	change	NOUN
atpp-1104	162	8	”	"	PUNCT
atpp-1104	162	9	which	which	PRON
atpp-1104	162	10	can	can	AUX
atpp-1104	162	11	be	be	AUX
atpp-1104	162	12	interpreted	interpret	VERB
atpp-1104	162	13	to	to	PART
atpp-1104	162	14	mean	mean	VERB
atpp-1104	162	15	a	a	DET
atpp-1104	162	16	re	re	NOUN
atpp-1104	162	17	-	-	NOUN
atpp-1104	162	18	conceptualization	conceptualization	NOUN
atpp-1104	162	19	of	of	ADP
atpp-1104	162	20	the	the	DET
atpp-1104	162	21	nature	nature	NOUN
atpp-1104	162	22	of	of	ADP
atpp-1104	162	23	mathematics	mathematic	NOUN
atpp-1104	162	24	leading	lead	VERB
atpp-1104	162	25	them	they	PRON
atpp-1104	162	26	to	to	PART
atpp-1104	162	27	look	look	VERB
atpp-1104	162	28	at	at	ADP
atpp-1104	162	29	the	the	DET
atpp-1104	162	30	discipline	discipline	NOUN
atpp-1104	162	31	from	from	ADP
atpp-1104	162	32	a	a	DET
atpp-1104	162	33	position	position	NOUN
atpp-1104	162	34	different	different	ADJ
atpp-1104	162	35	to	to	ADP
atpp-1104	162	36	their	their	PRON
atpp-1104	162	37	own	own	ADJ
atpp-1104	162	38	previously	previously	ADV
atpp-1104	162	39	held	hold	VERB
atpp-1104	162	40	perspective	perspective	NOUN
atpp-1104	162	41	.	.	PUNCT
atpp-1104	163	1	it	it	PRON
atpp-1104	163	2	was	be	AUX
atpp-1104	163	3	shown	show	VERB
atpp-1104	163	4	in	in	ADP
atpp-1104	163	5	their	their	PRON
atpp-1104	163	6	reports	report	NOUN
atpp-1104	163	7	that	that	SCONJ
atpp-1104	163	8	the	the	DET
atpp-1104	163	9	perspective	perspective	NOUN
atpp-1104	163	10	of	of	ADP
atpp-1104	163	11	mathematics	mathematic	NOUN
atpp-1104	163	12	that	that	PRON
atpp-1104	163	13	is	be	AUX
atpp-1104	163	14	“	"	PUNCT
atpp-1104	163	15	new	new	ADJ
atpp-1104	163	16	”	"	PUNCT
atpp-1104	163	17	for	for	ADP
atpp-1104	163	18	them	they	PRON
atpp-1104	163	19	is	be	AUX
atpp-1104	163	20	that	that	PRON
atpp-1104	163	21	of	of	ADP
atpp-1104	163	22	a	a	DET
atpp-1104	163	23	critical	critical	ADJ
atpp-1104	163	24	approach	approach	NOUN
atpp-1104	163	25	towards	towards	ADP
atpp-1104	163	26	the	the	DET
atpp-1104	163	27	dominant	dominant	ADJ
atpp-1104	163	28	images	image	NOUN
atpp-1104	163	29	of	of	ADP
atpp-1104	163	30	mathematics	mathematic	NOUN
atpp-1104	163	31	in	in	ADP
atpp-1104	163	32	schools	school	NOUN
atpp-1104	163	33	and	and	CCONJ
atpp-1104	163	34	the	the	DET
atpp-1104	163	35	teaching	teaching	NOUN
atpp-1104	163	36	practices	practice	NOUN
atpp-1104	163	37	they	they	PRON
atpp-1104	163	38	have	have	AUX
atpp-1104	163	39	experienced	experience	VERB
atpp-1104	163	40	.	.	PUNCT
atpp-1104	164	1	this	this	DET
atpp-1104	164	2	critical	critical	ADJ
atpp-1104	164	3	approach	approach	NOUN
atpp-1104	164	4	has	have	AUX
atpp-1104	164	5	mostly	mostly	ADV
atpp-1104	164	6	emanated	emanate	VERB
atpp-1104	164	7	from	from	ADP
atpp-1104	164	8	the	the	DET
atpp-1104	164	9	possibilities	possibility	NOUN
atpp-1104	164	10	of	of	ADP
atpp-1104	164	11	questioning	question	VERB
atpp-1104	164	12	what	what	PRON
atpp-1104	164	13	has	have	AUX
atpp-1104	164	14	been	be	AUX
atpp-1104	164	15	taken	take	VERB
atpp-1104	164	16	for	for	ADP
atpp-1104	164	17	granted	grant	VERB
atpp-1104	164	18	in	in	ADP
atpp-1104	164	19	school	school	NOUN
atpp-1104	164	20	mathematics	mathematic	NOUN
atpp-1104	164	21	.	.	PUNCT
atpp-1104	165	1	therefore	therefore	ADV
atpp-1104	165	2	this	this	DET
atpp-1104	165	3	“	"	PUNCT
atpp-1104	165	4	change	change	NOUN
atpp-1104	165	5	”	"	PUNCT
atpp-1104	165	6	appears	appear	VERB
atpp-1104	165	7	to	to	PART
atpp-1104	165	8	have	have	AUX
atpp-1104	165	9	been	be	AUX
atpp-1104	165	10	brought	bring	VERB
atpp-1104	165	11	about	about	ADP
atpp-1104	165	12	by	by	ADP
atpp-1104	165	13	their	their	PRON
atpp-1104	165	14	introduction	introduction	NOUN
atpp-1104	165	15	to	to	ADP
atpp-1104	165	16	and	and	CCONJ
atpp-1104	165	17	involvement	involvement	NOUN
atpp-1104	165	18	in	in	ADP
atpp-1104	165	19	the	the	DET
atpp-1104	165	20	philosophy	philosophy	NOUN
atpp-1104	165	21	of	of	ADP
atpp-1104	165	22	mathematics	mathematic	NOUN
atpp-1104	165	23	.	.	PUNCT
atpp-1104	166	1	(	(	PUNCT
atpp-1104	166	2	b	b	X
atpp-1104	166	3	)	)	PUNCT
atpp-1104	166	4	the	the	DET
atpp-1104	166	5	issues	issue	NOUN
atpp-1104	166	6	from	from	ADP
atpp-1104	166	7	the	the	DET
atpp-1104	166	8	philosophy	philosophy	NOUN
atpp-1104	166	9	of	of	ADP
atpp-1104	166	10	mathematics	mathematic	NOUN
atpp-1104	166	11	that	that	PRON
atpp-1104	166	12	were	be	AUX
atpp-1104	166	13	obviously	obviously	ADV
atpp-1104	166	14	appreciated	appreciate	VERB
atpp-1104	166	15	by	by	ADP
atpp-1104	166	16	the	the	DET
atpp-1104	166	17	teachers	teacher	NOUN
atpp-1104	166	18	and	and	CCONJ
atpp-1104	166	19	which	which	PRON
atpp-1104	166	20	seem	seem	VERB
atpp-1104	166	21	to	to	PART
atpp-1104	166	22	have	have	VERB
atpp-1104	166	23	the	the	DET
atpp-1104	166	24	greatest	great	ADJ
atpp-1104	166	25	effect	effect	NOUN
atpp-1104	166	26	on	on	ADP
atpp-1104	166	27	their	their	PRON
atpp-1104	166	28	thinking	thinking	NOUN
atpp-1104	166	29	were	be	AUX
atpp-1104	166	30	those	those	PRON
atpp-1104	166	31	which	which	PRON
atpp-1104	166	32	offered	offer	VERB
atpp-1104	166	33	explicit	explicit	ADJ
atpp-1104	166	34	opportunities	opportunity	NOUN
atpp-1104	166	35	for	for	ADP
atpp-1104	166	36	challenging	challenge	VERB
atpp-1104	166	37	their	their	PRON
atpp-1104	166	38	conceptions	conception	NOUN
atpp-1104	166	39	about	about	ADP
atpp-1104	166	40	teaching	teach	VERB
atpp-1104	166	41	particular	particular	ADJ
atpp-1104	166	42	concepts	concept	NOUN
atpp-1104	166	43	and	and	CCONJ
atpp-1104	166	44	processes	process	NOUN
atpp-1104	166	45	of	of	ADP
atpp-1104	166	46	school	school	NOUN
atpp-1104	166	47	mathematics	mathematic	NOUN
atpp-1104	166	48	(	(	PUNCT
atpp-1104	166	49	e.g.	e.g.	ADV
atpp-1104	166	50	numbers	number	NOUN
atpp-1104	166	51	or	or	CCONJ
atpp-1104	166	52	proofs	proof	NOUN
atpp-1104	166	53	)	)	PUNCT
atpp-1104	166	54	or	or	CCONJ
atpp-1104	166	55	elements	element	NOUN
atpp-1104	166	56	of	of	ADP
atpp-1104	166	57	their	their	PRON
atpp-1104	166	58	teaching	teaching	NOUN
atpp-1104	166	59	models	model	NOUN
atpp-1104	166	60	(	(	PUNCT
atpp-1104	166	61	e.g.	e.g.	ADV
atpp-1104	166	62	the	the	DET
atpp-1104	166	63	use	use	NOUN
atpp-1104	166	64	of	of	ADP
atpp-1104	166	65	manipulatives	manipulative	NOUN
atpp-1104	166	66	as	as	ADP
atpp-1104	166	67	embodiments	embodiment	NOUN
atpp-1104	166	68	of	of	ADP
atpp-1104	166	69	mathematical	mathematical	ADJ
atpp-1104	166	70	concepts	concept	NOUN
atpp-1104	166	71	or	or	CCONJ
atpp-1104	166	72	the	the	DET
atpp-1104	166	73	employment	employment	NOUN
atpp-1104	166	74	of	of	ADP
atpp-1104	166	75	diagrams	diagram	NOUN
atpp-1104	166	76	as	as	ADP
atpp-1104	166	77	depictions	depiction	NOUN
atpp-1104	166	78	of	of	ADP
atpp-1104	166	79	mathematical	mathematical	ADJ
atpp-1104	166	80	relations	relation	NOUN
atpp-1104	166	81	)	)	PUNCT
atpp-1104	166	82	.	.	PUNCT
atpp-1104	167	1	(	(	PUNCT
atpp-1104	167	2	c	c	X
atpp-1104	167	3	)	)	PUNCT
atpp-1104	167	4	the	the	DET
atpp-1104	167	5	most	most	ADV
atpp-1104	167	6	serious	serious	ADJ
atpp-1104	167	7	problems	problem	NOUN
atpp-1104	167	8	encountered	encounter	VERB
atpp-1104	167	9	during	during	ADP
atpp-1104	167	10	the	the	DET
atpp-1104	167	11	implementation	implementation	NOUN
atpp-1104	167	12	of	of	ADP
atpp-1104	167	13	the	the	DET
atpp-1104	167	14	course	course	NOUN
atpp-1104	167	15	were	be	AUX
atpp-1104	167	16	created	create	VERB
atpp-1104	167	17	as	as	ADP
atpp-1104	167	18	a	a	DET
atpp-1104	167	19	result	result	NOUN
atpp-1104	167	20	of	of	ADP
atpp-1104	167	21	the	the	DET
atpp-1104	167	22	poor	poor	ADJ
atpp-1104	167	23	mathematical	mathematical	ADJ
atpp-1104	167	24	backgrounds	background	NOUN
atpp-1104	167	25	of	of	ADP
atpp-1104	167	26	the	the	DET
atpp-1104	167	27	students	student	NOUN
atpp-1104	167	28	,	,	PUNCT
atpp-1104	167	29	which	which	PRON
atpp-1104	167	30	is	be	AUX
atpp-1104	167	31	mainly	mainly	ADV
atpp-1104	167	32	attributable	attributable	ADJ
atpp-1104	167	33	to	to	ADP
atpp-1104	167	34	secondary	secondary	ADJ
atpp-1104	167	35	school	school	NOUN
atpp-1104	167	36	mathematics	mathematic	NOUN
atpp-1104	167	37	.	.	PUNCT
atpp-1104	168	1	the	the	DET
atpp-1104	168	2	knowledge	knowledge	NOUN
atpp-1104	168	3	deficits	deficit	VERB
atpp-1104	168	4	about	about	ADP
atpp-1104	168	5	particular	particular	ADJ
atpp-1104	168	6	mathematical	mathematical	ADJ
atpp-1104	168	7	concepts	concept	NOUN
atpp-1104	168	8	,	,	PUNCT
atpp-1104	168	9	processes	process	NOUN
atpp-1104	168	10	and	and	CCONJ
atpp-1104	168	11	theorems	theorem	NOUN
atpp-1104	168	12	did	do	AUX
atpp-1104	168	13	not	not	PART
atpp-1104	168	14	permit	permit	VERB
atpp-1104	168	15	them	they	PRON
atpp-1104	168	16	to	to	PART
atpp-1104	168	17	comprehend	comprehend	VERB
atpp-1104	168	18	specific	specific	ADJ
atpp-1104	168	19	questions	question	NOUN
atpp-1104	168	20	and	and	CCONJ
atpp-1104	168	21	ideas	idea	NOUN
atpp-1104	168	22	from	from	ADP
atpp-1104	168	23	the	the	DET
atpp-1104	168	24	philosophy	philosophy	NOUN
atpp-1104	168	25	of	of	ADP
atpp-1104	168	26	mathematics	mathematic	NOUN
atpp-1104	168	27	and	and	CCONJ
atpp-1104	168	28	delimited	delimit	VERB
atpp-1104	168	29	the	the	DET
atpp-1104	168	30	extent	extent	NOUN
atpp-1104	168	31	,	,	PUNCT
atpp-1104	168	32	depth	depth	NOUN
atpp-1104	168	33	and	and	CCONJ
atpp-1104	168	34	quality	quality	NOUN
atpp-1104	168	35	of	of	ADP
atpp-1104	168	36	relevant	relevant	ADJ
atpp-1104	168	37	discussions	discussion	NOUN
atpp-1104	168	38	.	.	PUNCT
atpp-1104	169	1	infinity	infinity	NOUN
atpp-1104	169	2	and	and	CCONJ
atpp-1104	169	3	continuity	continuity	NOUN
atpp-1104	169	4	issues	issue	NOUN
atpp-1104	169	5	being	be	AUX
atpp-1104	169	6	the	the	DET
atpp-1104	169	7	most	most	ADV
atpp-1104	169	8	characteristic	characteristic	ADJ
atpp-1104	169	9	examples	example	NOUN
atpp-1104	169	10	.	.	PUNCT
atpp-1104	170	1	therefore	therefore	ADV
atpp-1104	170	2	,	,	PUNCT
atpp-1104	170	3	the	the	DET
atpp-1104	170	4	outcome	outcome	NOUN
atpp-1104	170	5	of	of	ADP
atpp-1104	170	6	this	this	DET
atpp-1104	170	7	course	course	NOUN
atpp-1104	170	8	,	,	PUNCT
atpp-1104	170	9	and	and	CCONJ
atpp-1104	170	10	i	i	PRON
atpp-1104	170	11	believe	believe	VERB
atpp-1104	170	12	any	any	DET
atpp-1104	170	13	course	course	NOUN
atpp-1104	170	14	concerning	concern	VERB
atpp-1104	170	15	the	the	DET
atpp-1104	170	16	philosophy	philosophy	NOUN
atpp-1104	170	17	of	of	ADP
atpp-1104	170	18	mathematics	mathematic	NOUN
atpp-1104	170	19	,	,	PUNCT
atpp-1104	170	20	will	will	AUX
atpp-1104	170	21	be	be	AUX
atpp-1104	170	22	highly	highly	ADV
atpp-1104	170	23	dependent	dependent	ADJ
atpp-1104	170	24	on	on	ADP
atpp-1104	170	25	students	student	NOUN
atpp-1104	170	26	’	'	PUNCT
atpp-1104	170	27	mathematical	mathematical	ADJ
atpp-1104	170	28	backgrounds	background	NOUN
atpp-1104	170	29	.	.	PUNCT
atpp-1104	171	1	a	a	DET
atpp-1104	171	2	final	final	ADJ
atpp-1104	171	3	,	,	PUNCT
atpp-1104	171	4	highly	highly	ADV
atpp-1104	171	5	relevant	relevant	ADJ
atpp-1104	171	6	issue	issue	NOUN
atpp-1104	171	7	from	from	ADP
atpp-1104	171	8	the	the	DET
atpp-1104	171	9	instructor	instructor	NOUN
atpp-1104	171	10	who	who	PRON
atpp-1104	171	11	has	have	AUX
atpp-1104	171	12	been	be	AUX
atpp-1104	171	13	running	run	VERB
atpp-1104	171	14	this	this	DET
atpp-1104	171	15	course	course	NOUN
atpp-1104	171	16	for	for	ADP
atpp-1104	171	17	three	three	NUM
atpp-1104	171	18	years	year	NOUN
atpp-1104	171	19	,	,	PUNCT
atpp-1104	171	20	is	be	AUX
atpp-1104	171	21	that	that	PRON
atpp-1104	171	22	of	of	ADP
atpp-1104	171	23	the	the	DET
atpp-1104	171	24	demands	demand	NOUN
atpp-1104	171	25	,	,	PUNCT
atpp-1104	171	26	in	in	ADP
atpp-1104	171	27	terms	term	NOUN
atpp-1104	171	28	of	of	ADP
atpp-1104	171	29	time	time	NOUN
atpp-1104	171	30	and	and	CCONJ
atpp-1104	171	31	effort	effort	NOUN
atpp-1104	171	32	,	,	PUNCT
atpp-1104	171	33	placed	place	VERB
atpp-1104	171	34	on	on	ADP
atpp-1104	171	35	the	the	DET
atpp-1104	171	36	tutor	tutor	NOUN
atpp-1104	171	37	both	both	PRON
atpp-1104	171	38	for	for	ADP
atpp-1104	171	39	the	the	DET
atpp-1104	171	40	preparation	preparation	NOUN
atpp-1104	171	41	,	,	PUNCT
atpp-1104	171	42	and	and	CCONJ
atpp-1104	171	43	even	even	ADV
atpp-1104	171	44	more	more	ADJ
atpp-1104	171	45	for	for	ADP
atpp-1104	171	46	the	the	DET
atpp-1104	171	47	managing	managing	NOUN
atpp-1104	171	48	,	,	PUNCT
atpp-1104	171	49	of	of	ADP
atpp-1104	171	50	each	each	DET
atpp-1104	171	51	session	session	NOUN
atpp-1104	171	52	of	of	ADP
atpp-1104	171	53	this	this	DET
atpp-1104	171	54	course	course	NOUN
atpp-1104	171	55	.	.	PUNCT
atpp-1104	172	1	i	i	PRON
atpp-1104	172	2	suppose	suppose	VERB
atpp-1104	172	3	that	that	SCONJ
atpp-1104	172	4	this	this	PRON
atpp-1104	172	5	would	would	AUX
atpp-1104	172	6	also	also	ADV
atpp-1104	172	7	apply	apply	VERB
atpp-1104	172	8	to	to	ADP
atpp-1104	172	9	similar	similar	ADJ
atpp-1104	172	10	courses	course	NOUN
atpp-1104	172	11	that	that	PRON
atpp-1104	172	12	attempt	attempt	VERB
atpp-1104	172	13	to	to	PART
atpp-1104	172	14	introduce	introduce	VERB
atpp-1104	172	15	student	student	NOUN
atpp-1104	172	16	teachers	teacher	NOUN
atpp-1104	172	17	to	to	ADP
atpp-1104	172	18	the	the	DET
atpp-1104	172	19	philosophy	philosophy	NOUN
atpp-1104	172	20	of	of	ADP
atpp-1104	172	21	mathematics	mathematic	NOUN
atpp-1104	172	22	while	while	SCONJ
atpp-1104	172	23	having	have	VERB
atpp-1104	172	24	to	to	PART
atpp-1104	172	25	meet	meet	VERB
atpp-1104	172	26	other	other	ADJ
atpp-1104	172	27	pedagogical	pedagogical	ADJ
atpp-1104	172	28	goals	goal	NOUN
atpp-1104	172	29	.	.	PUNCT
atpp-1104	173	1	concluding	conclude	VERB
atpp-1104	173	2	comments	comment	NOUN
atpp-1104	173	3	the	the	DET
atpp-1104	173	4	growing	grow	VERB
atpp-1104	173	5	philosophical	philosophical	ADJ
atpp-1104	173	6	investigations	investigation	NOUN
atpp-1104	173	7	of	of	ADP
atpp-1104	173	8	mathematics	mathematic	NOUN
atpp-1104	173	9	in	in	ADP
atpp-1104	173	10	the	the	DET
atpp-1104	173	11	past	past	ADJ
atpp-1104	173	12	thirty	thirty	NUM
atpp-1104	173	13	years	year	NOUN
atpp-1104	173	14	(	(	PUNCT
atpp-1104	173	15	see	see	VERB
atpp-1104	173	16	,	,	PUNCT
atpp-1104	173	17	e.g.	e.g.	ADV
atpp-1104	173	18	,	,	PUNCT
atpp-1104	173	19	davis	davis	PROPN
atpp-1104	173	20	&	&	CCONJ
atpp-1104	173	21	hersh	hersh	PROPN
atpp-1104	173	22	,	,	PUNCT
atpp-1104	173	23	analytic	analytic	ADJ
atpp-1104	173	24	teaching	teaching	NOUN
atpp-1104	173	25	and	and	CCONJ
atpp-1104	173	26	philosophical	philosophical	ADJ
atpp-1104	173	27	praxis	praxis	ADJ
atpp-1104	173	28	vol	vol	NOUN
atpp-1104	173	29	.	.	PUNCT
atpp-1104	174	1	34	34	NUM
atpp-1104	174	2	issue	issue	NOUN
atpp-1104	174	3	1	1	NUM
atpp-1104	174	4	78	78	NUM
atpp-1104	174	5	1981	1981	NUM
atpp-1104	174	6	;	;	PUNCT
atpp-1104	174	7	hersh	hersh	PROPN
atpp-1104	174	8	,	,	PUNCT
atpp-1104	174	9	1997	1997	NUM
atpp-1104	174	10	;	;	PUNCT
atpp-1104	174	11	restivo	restivo	PROPN
atpp-1104	174	12	,	,	PUNCT
atpp-1104	174	13	van	van	PROPN
atpp-1104	174	14	bendegen	bendegen	PROPN
atpp-1104	174	15	,	,	PUNCT
atpp-1104	174	16	&	&	CCONJ
atpp-1104	174	17	fischer	fischer	PROPN
atpp-1104	174	18	,	,	PUNCT
atpp-1104	174	19	1993	1993	NUM
atpp-1104	174	20	;	;	PUNCT
atpp-1104	174	21	tymoczko	tymoczko	NOUN
atpp-1104	174	22	,	,	PUNCT
atpp-1104	174	23	1986	1986	NUM
atpp-1104	174	24	)	)	PUNCT
atpp-1104	174	25	have	have	AUX
atpp-1104	174	26	not	not	PART
atpp-1104	174	27	been	be	AUX
atpp-1104	174	28	properly	properly	ADV
atpp-1104	174	29	addressed	address	VERB
atpp-1104	174	30	in	in	ADP
atpp-1104	174	31	mathematics	mathematic	NOUN
atpp-1104	174	32	education	education	NOUN
atpp-1104	174	33	.	.	PUNCT
atpp-1104	175	1	even	even	ADV
atpp-1104	175	2	at	at	ADP
atpp-1104	175	3	present	present	ADJ
atpp-1104	175	4	,	,	PUNCT
atpp-1104	175	5	rationales	rationale	NOUN
atpp-1104	175	6	and	and	CCONJ
atpp-1104	175	7	practical	practical	ADJ
atpp-1104	175	8	proposals	proposal	NOUN
atpp-1104	175	9	in	in	ADP
atpp-1104	175	10	mathematics	mathematics	NOUN
atpp-1104	175	11	education	education	NOUN
atpp-1104	175	12	are	be	AUX
atpp-1104	175	13	mainly	mainly	ADV
atpp-1104	175	14	informed	inform	VERB
atpp-1104	175	15	by	by	ADP
atpp-1104	175	16	educational	educational	ADJ
atpp-1104	175	17	and	and	CCONJ
atpp-1104	175	18	psychological	psychological	ADJ
atpp-1104	175	19	research	research	NOUN
atpp-1104	175	20	,	,	PUNCT
atpp-1104	175	21	disregarding	disregard	VERB
atpp-1104	175	22	ideas	idea	NOUN
atpp-1104	175	23	coming	come	VERB
atpp-1104	175	24	from	from	ADP
atpp-1104	175	25	disciplines	discipline	NOUN
atpp-1104	175	26	that	that	PRON
atpp-1104	175	27	study	study	VERB
atpp-1104	175	28	the	the	DET
atpp-1104	175	29	nature	nature	NOUN
atpp-1104	175	30	of	of	ADP
atpp-1104	175	31	mathematics	mathematic	NOUN
atpp-1104	175	32	,	,	PUNCT
atpp-1104	175	33	as	as	SCONJ
atpp-1104	175	34	do	do	VERB
atpp-1104	175	35	philosophy	philosophy	NOUN
atpp-1104	175	36	and	and	CCONJ
atpp-1104	175	37	history	history	NOUN
atpp-1104	175	38	of	of	ADP
atpp-1104	175	39	mathematics	mathematic	NOUN
atpp-1104	175	40	.	.	PUNCT
atpp-1104	176	1	in	in	ADP
atpp-1104	176	2	this	this	DET
atpp-1104	176	3	paper	paper	NOUN
atpp-1104	176	4	,	,	PUNCT
atpp-1104	176	5	i	i	PRON
atpp-1104	176	6	have	have	AUX
atpp-1104	176	7	presented	present	VERB
atpp-1104	176	8	an	an	DET
atpp-1104	176	9	attempt	attempt	NOUN
atpp-1104	176	10	to	to	PART
atpp-1104	176	11	use	use	VERB
atpp-1104	176	12	themes	theme	NOUN
atpp-1104	176	13	from	from	ADP
atpp-1104	176	14	the	the	DET
atpp-1104	176	15	history	history	NOUN
atpp-1104	176	16	of	of	ADP
atpp-1104	176	17	mathematics	mathematic	NOUN
atpp-1104	176	18	as	as	ADP
atpp-1104	176	19	scaffolding	scaffold	VERB
atpp-1104	176	20	for	for	ADP
atpp-1104	176	21	the	the	DET
atpp-1104	176	22	introduction	introduction	NOUN
atpp-1104	176	23	of	of	ADP
atpp-1104	176	24	prospective	prospective	ADJ
atpp-1104	176	25	teachers	teacher	NOUN
atpp-1104	176	26	to	to	ADP
atpp-1104	176	27	the	the	DET
atpp-1104	176	28	questions	question	NOUN
atpp-1104	176	29	and	and	CCONJ
atpp-1104	176	30	controversies	controversy	NOUN
atpp-1104	176	31	arisen	arise	VERB
atpp-1104	176	32	by	by	ADP
atpp-1104	176	33	the	the	DET
atpp-1104	176	34	philosophy	philosophy	NOUN
atpp-1104	176	35	of	of	ADP
atpp-1104	176	36	mathematics	mathematic	NOUN
atpp-1104	176	37	,	,	PUNCT
atpp-1104	176	38	claiming	claim	VERB
atpp-1104	176	39	that	that	SCONJ
atpp-1104	176	40	an	an	DET
atpp-1104	176	41	introduction	introduction	NOUN
atpp-1104	176	42	to	to	ADP
atpp-1104	176	43	the	the	DET
atpp-1104	176	44	philosophy	philosophy	NOUN
atpp-1104	176	45	of	of	ADP
atpp-1104	176	46	mathematics	mathematic	NOUN
atpp-1104	176	47	will	will	AUX
atpp-1104	176	48	support	support	VERB
atpp-1104	176	49	student	student	NOUN
atpp-1104	176	50	teachers	teacher	NOUN
atpp-1104	176	51	to	to	PART
atpp-1104	176	52	become	become	VERB
atpp-1104	176	53	more	more	ADV
atpp-1104	176	54	reflective	reflective	ADJ
atpp-1104	176	55	practitioners	practitioner	NOUN
atpp-1104	176	56	.	.	PUNCT
atpp-1104	177	1	on	on	ADP
atpp-1104	177	2	the	the	DET
atpp-1104	177	3	other	other	ADJ
atpp-1104	177	4	hand	hand	NOUN
atpp-1104	177	5	,	,	PUNCT
atpp-1104	177	6	it	it	PRON
atpp-1104	177	7	must	must	AUX
atpp-1104	177	8	be	be	AUX
atpp-1104	177	9	recognized	recognize	VERB
atpp-1104	177	10	that	that	SCONJ
atpp-1104	177	11	no	no	DET
atpp-1104	177	12	single	single	ADJ
atpp-1104	177	13	course	course	NOUN
atpp-1104	177	14	can	can	AUX
atpp-1104	177	15	resolve	resolve	VERB
atpp-1104	177	16	all	all	DET
atpp-1104	177	17	the	the	DET
atpp-1104	177	18	issues	issue	NOUN
atpp-1104	177	19	associated	associate	VERB
atpp-1104	177	20	with	with	ADP
atpp-1104	177	21	reflective	reflective	ADJ
atpp-1104	177	22	thinking	thinking	NOUN
atpp-1104	177	23	and	and	CCONJ
atpp-1104	177	24	the	the	DET
atpp-1104	177	25	effectiveness	effectiveness	NOUN
atpp-1104	177	26	of	of	ADP
atpp-1104	177	27	prospective	prospective	ADJ
atpp-1104	177	28	teachers	teacher	NOUN
atpp-1104	177	29	.	.	PUNCT
atpp-1104	178	1	however	however	ADV
atpp-1104	178	2	,	,	PUNCT
atpp-1104	178	3	if	if	SCONJ
atpp-1104	178	4	nothing	nothing	PRON
atpp-1104	178	5	else	else	ADV
atpp-1104	178	6	,	,	PUNCT
atpp-1104	178	7	it	it	PRON
atpp-1104	178	8	seems	seem	VERB
atpp-1104	178	9	likely	likely	ADJ
atpp-1104	178	10	that	that	SCONJ
atpp-1104	178	11	if	if	SCONJ
atpp-1104	178	12	student	student	NOUN
atpp-1104	178	13	teachers	teacher	NOUN
atpp-1104	178	14	are	be	AUX
atpp-1104	178	15	never	never	ADV
atpp-1104	178	16	asked	ask	VERB
atpp-1104	178	17	to	to	PART
atpp-1104	178	18	reflect	reflect	VERB
atpp-1104	178	19	on	on	ADP
atpp-1104	178	20	the	the	DET
atpp-1104	178	21	philosophical	philosophical	ADJ
atpp-1104	178	22	basis	basis	NOUN
atpp-1104	178	23	of	of	ADP
atpp-1104	178	24	their	their	PRON
atpp-1104	178	25	perceptions	perception	NOUN
atpp-1104	178	26	of	of	ADP
atpp-1104	178	27	mathematics	mathematic	NOUN
atpp-1104	178	28	,	,	PUNCT
atpp-1104	178	29	then	then	ADV
atpp-1104	178	30	they	they	PRON
atpp-1104	178	31	will	will	AUX
atpp-1104	178	32	continue	continue	VERB
atpp-1104	178	33	to	to	PART
atpp-1104	178	34	produce	produce	VERB
atpp-1104	178	35	traditional	traditional	ADJ
atpp-1104	178	36	,	,	PUNCT
atpp-1104	178	37	and	and	CCONJ
atpp-1104	178	38	mostly	mostly	ADV
atpp-1104	178	39	ineffective	ineffective	ADJ
atpp-1104	178	40	,	,	PUNCT
atpp-1104	178	41	teaching	teaching	NOUN
atpp-1104	178	42	practices	practice	NOUN
atpp-1104	178	43	and	and	CCONJ
atpp-1104	178	44	remain	remain	VERB
atpp-1104	178	45	resist	resist	VERB
atpp-1104	178	46	to	to	PART
atpp-1104	178	47	change	change	VERB
atpp-1104	178	48	.	.	PUNCT
atpp-1104	179	1	references	reference	NOUN
atpp-1104	179	2	aspray	aspray	PROPN
atpp-1104	179	3	,	,	PUNCT
atpp-1104	179	4	w.	w.	PROPN
atpp-1104	179	5	and	and	CCONJ
atpp-1104	179	6	p.	p.	PROPN
atpp-1104	179	7	kitcher	kitcher	PROPN
atpp-1104	179	8	(	(	PUNCT
atpp-1104	179	9	1988	1988	NUM
atpp-1104	179	10	)	)	PUNCT
atpp-1104	179	11	.	.	PUNCT
atpp-1104	180	1	history	history	NOUN
atpp-1104	180	2	and	and	CCONJ
atpp-1104	180	3	philosophy	philosophy	NOUN
atpp-1104	180	4	of	of	ADP
atpp-1104	180	5	modern	modern	ADJ
atpp-1104	180	6	mathematics	mathematic	NOUN
atpp-1104	180	7	.	.	PUNCT
atpp-1104	181	1	minneapolis	minneapolis	PROPN
atpp-1104	181	2	:	:	PUNCT
atpp-1104	181	3	university	university	NOUN
atpp-1104	181	4	of	of	ADP
atpp-1104	181	5	min	min	PROPN
atpp-1104	181	6	nesota	nesota	PROPN
atpp-1104	181	7	press	press	PROPN
atpp-1104	181	8	.	.	PUNCT
atpp-1104	182	1	cohen	cohen	PROPN
atpp-1104	182	2	,	,	PUNCT
atpp-1104	182	3	d.	d.	PROPN
atpp-1104	182	4	(	(	PUNCT
atpp-1104	182	5	2011	2011	NUM
atpp-1104	182	6	)	)	PUNCT
atpp-1104	182	7	.	.	PUNCT
atpp-1104	183	1	teaching	teaching	NOUN
atpp-1104	183	2	:	:	PUNCT
atpp-1104	183	3	practice	practice	NOUN
atpp-1104	183	4	and	and	CCONJ
atpp-1104	183	5	its	its	PRON
atpp-1104	183	6	predicaments	predicament	NOUN
atpp-1104	183	7	.	.	PUNCT
atpp-1104	184	1	cambridge	cambridge	PROPN
atpp-1104	184	2	,	,	PUNCT
atpp-1104	184	3	ma	ma	PROPN
atpp-1104	184	4	:	:	PUNCT
atpp-1104	184	5	harvard	harvard	PROPN
atpp-1104	184	6	university	university	PROPN
atpp-1104	184	7	press	press	NOUN
atpp-1104	184	8	.	.	PUNCT
atpp-1104	185	1	davis	davis	PROPN
atpp-1104	185	2	,	,	PUNCT
atpp-1104	185	3	p.	p.	PROPN
atpp-1104	185	4	j.	j.	PROPN
atpp-1104	185	5	,	,	PUNCT
atpp-1104	185	6	&	&	CCONJ
atpp-1104	185	7	hersh	hersh	PROPN
atpp-1104	185	8	,	,	PUNCT
atpp-1104	185	9	r.	r.	PROPN
atpp-1104	185	10	(	(	PUNCT
atpp-1104	185	11	1981	1981	NUM
atpp-1104	185	12	)	)	PUNCT
atpp-1104	185	13	.	.	PUNCT
atpp-1104	186	1	the	the	DET
atpp-1104	186	2	mathematical	mathematical	ADJ
atpp-1104	186	3	experience	experience	NOUN
atpp-1104	186	4	.	.	PUNCT
atpp-1104	187	1	boston	boston	PROPN
atpp-1104	187	2	:	:	PUNCT
atpp-1104	187	3	birkhauser	birkhauser	VERB
atpp-1104	187	4	.	.	PUNCT
atpp-1104	188	1	ernest	ernest	PROPN
atpp-1104	188	2	p.	p.	NOUN
atpp-1104	188	3	(	(	PUNCT
atpp-1104	188	4	1998	1998	NUM
atpp-1104	188	5	)	)	PUNCT
atpp-1104	188	6	.	.	PUNCT
atpp-1104	189	1	social	social	ADJ
atpp-1104	189	2	constructivism	constructivism	NOUN
atpp-1104	189	3	as	as	ADP
atpp-1104	189	4	a	a	DET
atpp-1104	189	5	philosophy	philosophy	NOUN
atpp-1104	189	6	of	of	ADP
atpp-1104	189	7	mathematics	mathematics	PROPN
atpp-1104	189	8	.	.	PUNCT
atpp-1104	190	1	albany	albany	PROPN
atpp-1104	190	2	:	:	PUNCT
atpp-1104	190	3	state	state	PROPN
atpp-1104	190	4	university	university	PROPN
atpp-1104	190	5	of	of	ADP
atpp-1104	190	6	new	new	PROPN
atpp-1104	190	7	york	york	PROPN
atpp-1104	190	8	press	press	PROPN
atpp-1104	190	9	.	.	PUNCT
atpp-1104	191	1	ernest	ernest	PROPN
atpp-1104	191	2	,	,	PUNCT
atpp-1104	191	3	p.	p.	NOUN
atpp-1104	191	4	(	(	PUNCT
atpp-1104	191	5	1991	1991	NUM
atpp-1104	191	6	)	)	PUNCT
atpp-1104	191	7	.	.	PUNCT
atpp-1104	192	1	the	the	DET
atpp-1104	192	2	philosophy	philosophy	NOUN
atpp-1104	192	3	of	of	ADP
atpp-1104	192	4	mathematics	mathematic	NOUN
atpp-1104	192	5	education	education	NOUN
atpp-1104	192	6	.	.	PUNCT
atpp-1104	193	1	london	london	PROPN
atpp-1104	193	2	:	:	PUNCT
atpp-1104	193	3	falmer	falmer	PROPN
atpp-1104	193	4	.	.	PROPN
atpp-1104	193	5	ernest	ernest	PROPN
atpp-1104	193	6	,	,	PUNCT
atpp-1104	193	7	p.	p.	NOUN
atpp-1104	193	8	(	(	PUNCT
atpp-1104	193	9	1989	1989	NUM
atpp-1104	193	10	)	)	PUNCT
atpp-1104	193	11	.	.	PUNCT
atpp-1104	194	1	the	the	DET
atpp-1104	194	2	impact	impact	NOUN
atpp-1104	194	3	of	of	ADP
atpp-1104	194	4	beliefs	belief	NOUN
atpp-1104	194	5	on	on	ADP
atpp-1104	194	6	the	the	DET
atpp-1104	194	7	teaching	teaching	NOUN
atpp-1104	194	8	of	of	ADP
atpp-1104	194	9	mathematics	mathematic	NOUN
atpp-1104	194	10	.	.	PUNCT
atpp-1104	195	1	in	in	ADP
atpp-1104	195	2	p.	p.	PROPN
atpp-1104	195	3	ernest	ernest	PROPN
atpp-1104	196	1	(	(	PUNCT
atpp-1104	196	2	ed	ed	NOUN
atpp-1104	196	3	.	.	PUNCT
atpp-1104	196	4	)	)	PUNCT
atpp-1104	196	5	,	,	PUNCT
atpp-1104	196	6	mathematics	mathematic	NOUN
atpp-1104	196	7	teach	teach	VERB
atpp-1104	196	8	ing	ing	NOUN
atpp-1104	196	9	:	:	PUNCT
atpp-1104	196	10	the	the	DET
atpp-1104	196	11	state	state	NOUN
atpp-1104	196	12	of	of	ADP
atpp-1104	196	13	the	the	DET
atpp-1104	196	14	art	art	NOUN
atpp-1104	196	15	(	(	PUNCT
atpp-1104	196	16	pp	pp	ADJ
atpp-1104	196	17	.	.	PUNCT
atpp-1104	197	1	249	249	NUM
atpp-1104	197	2	-	-	SYM
atpp-1104	197	3	254	254	NUM
atpp-1104	197	4	)	)	PUNCT
atpp-1104	197	5	.	.	PUNCT
atpp-1104	198	1	london	london	PROPN
atpp-1104	198	2	:	:	PUNCT
atpp-1104	198	3	falmer	falmer	PROPN
atpp-1104	198	4	press	press	PROPN
atpp-1104	198	5	.	.	PUNCT
atpp-1104	199	1	freeman	freeman	PROPN
atpp-1104	199	2	,	,	PUNCT
atpp-1104	199	3	c.	c.	PROPN
atpp-1104	199	4	,	,	PUNCT
atpp-1104	199	5	&	&	CCONJ
atpp-1104	199	6	sokoloff	sokoloff	PROPN
atpp-1104	199	7	,	,	PUNCT
atpp-1104	199	8	h.j	h.j	PROPN
atpp-1104	199	9	.	.	PROPN
atpp-1104	199	10	(	(	PUNCT
atpp-1104	199	11	1996	1996	NUM
atpp-1104	199	12	)	)	PUNCT
atpp-1104	199	13	.	.	PUNCT
atpp-1104	200	1	toward	toward	ADP
atpp-1104	200	2	a	a	DET
atpp-1104	200	3	theory	theory	NOUN
atpp-1104	200	4	of	of	ADP
atpp-1104	200	5	theory	theory	NOUN
atpp-1104	200	6	of	of	ADP
atpp-1104	200	7	thematic	thematic	ADJ
atpp-1104	200	8	curricula	curricula	NOUN
atpp-1104	200	9	:	:	PUNCT
atpp-1104	200	10	constructing	construct	VERB
atpp-1104	200	11	new	new	ADJ
atpp-1104	200	12	learning	learning	NOUN
atpp-1104	200	13	environments	environment	NOUN
atpp-1104	200	14	for	for	ADP
atpp-1104	200	15	teachers	teacher	NOUN
atpp-1104	200	16	&	&	CCONJ
atpp-1104	200	17	learners	learner	NOUN
atpp-1104	200	18	.	.	PUNCT
atpp-1104	201	1	education	education	NOUN
atpp-1104	201	2	policy	policy	NOUN
atpp-1104	201	3	analysis	analysis	NOUN
atpp-1104	201	4	archives	archive	NOUN
atpp-1104	201	5	,	,	PUNCT
atpp-1104	201	6	3(14	3(14	NUM
atpp-1104	201	7	)	)	PUNCT
atpp-1104	201	8	,	,	PUNCT
atpp-1104	201	9	1	1	NUM
atpp-1104	201	10	-	-	SYM
atpp-1104	201	11	19	19	NUM
atpp-1104	201	12	.	.	PUNCT
atpp-1104	202	1	herbst	herbst	PROPN
atpp-1104	202	2	,	,	PUNCT
atpp-1104	202	3	p.	p.	NOUN
atpp-1104	202	4	,	,	PUNCT
atpp-1104	202	5	bieda	bieda	NOUN
atpp-1104	202	6	,	,	PUNCT
atpp-1104	202	7	k.	k.	PROPN
atpp-1104	202	8	,	,	PUNCT
atpp-1104	202	9	chazal	chazal	PROPN
atpp-1104	202	10	d.	d.	PROPN
atpp-1104	202	11	&	&	CCONJ
atpp-1104	202	12	gonzález	gonzález	PROPN
atpp-1104	202	13	,	,	PUNCT
atpp-1104	202	14	g.	g.	PROPN
atpp-1104	202	15	(	(	PUNCT
atpp-1104	202	16	2010	2010	NUM
atpp-1104	202	17	)	)	PUNCT
atpp-1104	202	18	.	.	PUNCT
atpp-1104	203	1	representations	representation	NOUN
atpp-1104	203	2	of	of	ADP
atpp-1104	203	3	mathematics	mathematic	NOUN
atpp-1104	203	4	teaching	teaching	NOUN
atpp-1104	203	5	and	and	CCONJ
atpp-1104	203	6	their	their	PRON
atpp-1104	203	7	use	use	NOUN
atpp-1104	203	8	in	in	ADP
atpp-1104	203	9	teacher	teacher	NOUN
atpp-1104	203	10	education	education	NOUN
atpp-1104	203	11	:	:	PUNCT
atpp-1104	203	12	what	what	PRON
atpp-1104	203	13	do	do	AUX
atpp-1104	203	14	we	we	PRON
atpp-1104	203	15	need	need	VERB
atpp-1104	203	16	in	in	ADP
atpp-1104	203	17	a	a	DET
atpp-1104	203	18	pedagogy	pedagogy	NOUN
atpp-1104	203	19	for	for	ADP
atpp-1104	203	20	the	the	DET
atpp-1104	203	21	21st	21st	ADJ
atpp-1104	203	22	century	century	NOUN
atpp-1104	203	23	?	?	PUNCT
atpp-1104	204	1	retrieved	retrieve	VERB
atpp-1104	204	2	from	from	ADP
atpp-1104	204	3	http://hdl.handle	http://hdl.handle	NOUN
atpp-1104	204	4	.	.	PUNCT
atpp-1104	205	1	net/2027.42/78158	net/2027.42/78158	NOUN
atpp-1104	205	2	(	(	PUNCT
atpp-1104	205	3	25	25	NUM
atpp-1104	205	4	-	-	PUNCT
atpp-1104	205	5	04	04	NUM
atpp-1104	205	6	-	-	PUNCT
atpp-1104	205	7	2013	2013	NUM
atpp-1104	205	8	)	)	PUNCT
atpp-1104	205	9	.	.	PUNCT
atpp-1104	206	1	hersh	hersh	PROPN
atpp-1104	206	2	,	,	PUNCT
atpp-1104	206	3	r.	r.	PROPN
atpp-1104	206	4	(	(	PUNCT
atpp-1104	206	5	1997	1997	NUM
atpp-1104	206	6	)	)	PUNCT
atpp-1104	206	7	.	.	PUNCT
atpp-1104	207	1	what	what	PRON
atpp-1104	207	2	is	be	AUX
atpp-1104	207	3	mathematics	mathematic	NOUN
atpp-1104	207	4	,	,	PUNCT
atpp-1104	207	5	really	really	ADV
atpp-1104	207	6	?	?	PUNCT
atpp-1104	208	1	new	new	PROPN
atpp-1104	208	2	york	york	PROPN
atpp-1104	208	3	:	:	PUNCT
atpp-1104	208	4	oxford	oxford	PROPN
atpp-1104	208	5	university	university	PROPN
atpp-1104	208	6	press	press	NOUN
atpp-1104	208	7	.	.	PUNCT
atpp-1104	209	1	hersh	hersh	PROPN
atpp-1104	209	2	,	,	PUNCT
atpp-1104	209	3	r.	r.	PROPN
atpp-1104	209	4	(	(	PUNCT
atpp-1104	209	5	1979	1979	NUM
atpp-1104	209	6	)	)	PUNCT
atpp-1104	209	7	.	.	PUNCT
atpp-1104	210	1	some	some	DET
atpp-1104	210	2	proposals	proposal	NOUN
atpp-1104	210	3	for	for	ADP
atpp-1104	210	4	revising	revise	VERB
atpp-1104	210	5	the	the	DET
atpp-1104	210	6	philosophy	philosophy	NOUN
atpp-1104	210	7	of	of	ADP
atpp-1104	210	8	mathematics	mathematic	NOUN
atpp-1104	210	9	.	.	PUNCT
atpp-1104	211	1	advances	advance	NOUN
atpp-1104	211	2	in	in	ADP
atpp-1104	211	3	mathematics	mathematic	NOUN
atpp-1104	211	4	,	,	PUNCT
atpp-1104	211	5	31(1	31(1	NUM
atpp-1104	211	6	)	)	PUNCT
atpp-1104	211	7	,	,	PUNCT
atpp-1104	211	8	31	31	NUM
atpp-1104	211	9	-	-	SYM
atpp-1104	211	10	50	50	NUM
atpp-1104	211	11	.	.	PUNCT
atpp-1104	212	1	lakatos	lakatos	PROPN
atpp-1104	212	2	,	,	PUNCT
atpp-1104	212	3	imre	imre	PROPN
atpp-1104	212	4	(	(	PUNCT
atpp-1104	212	5	1976	1976	NUM
atpp-1104	212	6	)	)	PUNCT
atpp-1104	212	7	.	.	PUNCT
atpp-1104	213	1	proofs	proof	NOUN
atpp-1104	213	2	and	and	CCONJ
atpp-1104	213	3	refutations	refutation	NOUN
atpp-1104	213	4	.	.	PUNCT
atpp-1104	214	1	cambridge	cambridge	PROPN
atpp-1104	214	2	:	:	PUNCT
atpp-1104	214	3	cambridge	cambridge	PROPN
atpp-1104	214	4	university	university	PROPN
atpp-1104	214	5	press	press	NOUN
atpp-1104	214	6	lerman	lerman	NOUN
atpp-1104	214	7	,	,	PUNCT
atpp-1104	214	8	s.	s.	PROPN
atpp-1104	214	9	(	(	PUNCT
atpp-1104	214	10	1983	1983	NUM
atpp-1104	214	11	)	)	PUNCT
atpp-1104	214	12	.	.	PUNCT
atpp-1104	215	1	problem	problem	NOUN
atpp-1104	215	2	solving	solving	NOUN
atpp-1104	215	3	or	or	CCONJ
atpp-1104	215	4	knowledge	knowledge	NOUN
atpp-1104	215	5	centred	centre	VERB
atpp-1104	215	6	:	:	PUNCT
atpp-1104	215	7	the	the	DET
atpp-1104	215	8	influence	influence	NOUN
atpp-1104	215	9	of	of	ADP
atpp-1104	215	10	philosophy	philosophy	NOUN
atpp-1104	215	11	on	on	ADP
atpp-1104	215	12	mathematics	mathematic	NOUN
atpp-1104	215	13	teach	teach	VERB
atpp-1104	215	14	ing	ing	NOUN
atpp-1104	215	15	.	.	PUNCT
atpp-1104	216	1	international	international	ADJ
atpp-1104	216	2	journal	journal	PROPN
atpp-1104	216	3	of	of	ADP
atpp-1104	216	4	mathematics	mathematics	PROPN
atpp-1104	216	5	education	education	NOUN
atpp-1104	216	6	in	in	ADP
atpp-1104	216	7	science	science	NOUN
atpp-1104	216	8	and	and	CCONJ
atpp-1104	216	9	technology	technology	NOUN
atpp-1104	216	10	,	,	PUNCT
atpp-1104	216	11	14(1	14(1	NUM
atpp-1104	216	12	)	)	PUNCT
atpp-1104	216	13	,	,	PUNCT
atpp-1104	216	14	59–66	59–66	NUM
atpp-1104	216	15	.	.	PUNCT
atpp-1104	216	16	analytic	analytic	ADJ
atpp-1104	216	17	teaching	teaching	NOUN
atpp-1104	216	18	and	and	CCONJ
atpp-1104	216	19	philosophical	philosophical	ADJ
atpp-1104	216	20	praxis	praxis	ADJ
atpp-1104	216	21	vol	vol	NOUN
atpp-1104	216	22	.	.	PUNCT
atpp-1104	217	1	34	34	NUM
atpp-1104	217	2	issue	issue	NOUN
atpp-1104	217	3	1	1	NUM
atpp-1104	217	4	79	79	NUM
atpp-1104	217	5	lerman	lerman	NOUN
atpp-1104	217	6	,	,	PUNCT
atpp-1104	217	7	s.	s.	PROPN
atpp-1104	217	8	(	(	PUNCT
atpp-1104	217	9	1990	1990	NUM
atpp-1104	217	10	)	)	PUNCT
atpp-1104	217	11	.	.	PUNCT
atpp-1104	218	1	alternative	alternative	ADJ
atpp-1104	218	2	perspectives	perspective	NOUN
atpp-1104	218	3	of	of	ADP
atpp-1104	218	4	the	the	DET
atpp-1104	218	5	nature	nature	NOUN
atpp-1104	218	6	of	of	ADP
atpp-1104	218	7	mathematics	mathematic	NOUN
atpp-1104	218	8	and	and	CCONJ
atpp-1104	218	9	their	their	PRON
atpp-1104	218	10	influence	influence	NOUN
atpp-1104	218	11	on	on	ADP
atpp-1104	218	12	the	the	DET
atpp-1104	218	13	teaching	teaching	NOUN
atpp-1104	218	14	of	of	ADP
atpp-1104	218	15	mathematics	mathematic	NOUN
atpp-1104	218	16	.	.	PUNCT
atpp-1104	219	1	british	british	ADJ
atpp-1104	219	2	educational	educational	PROPN
atpp-1104	219	3	research	research	PROPN
atpp-1104	219	4	journal	journal	PROPN
atpp-1104	219	5	16(1	16(1	PROPN
atpp-1104	219	6	)	)	PUNCT
atpp-1104	219	7	,	,	PUNCT
atpp-1104	219	8	53–61	53–61	NUM
atpp-1104	219	9	.	.	PUNCT
atpp-1104	219	10	pehkonen	pehkonen	PROPN
atpp-1104	219	11	,	,	PUNCT
atpp-1104	219	12	e.	e.	PROPN
atpp-1104	219	13	(	(	PUNCT
atpp-1104	219	14	1994	1994	NUM
atpp-1104	219	15	)	)	PUNCT
atpp-1104	219	16	.	.	PUNCT
atpp-1104	220	1	on	on	ADP
atpp-1104	220	2	teachers	teacher	NOUN
atpp-1104	220	3	’	'	PUNCT
atpp-1104	220	4	beliefs	belief	NOUN
atpp-1104	220	5	and	and	CCONJ
atpp-1104	220	6	changing	change	VERB
atpp-1104	220	7	mathematics	mathematic	NOUN
atpp-1104	220	8	teaching	teaching	NOUN
atpp-1104	220	9	.	.	PUNCT
atpp-1104	221	1	journal	journal	PROPN
atpp-1104	221	2	für	für	PROPN
atpp-1104	221	3	mathematik	mathematik	PROPN
atpp-1104	221	4	-	-	PUNCT
atpp-1104	221	5	didaktik	didaktik	PROPN
atpp-1104	221	6	,	,	PUNCT
atpp-1104	221	7	15(3/4	15(3/4	NUM
atpp-1104	221	8	)	)	PUNCT
atpp-1104	221	9	,	,	PUNCT
atpp-1104	221	10	177	177	NUM
atpp-1104	221	11	-	-	SYM
atpp-1104	221	12	209	209	NUM
atpp-1104	221	13	.	.	PUNCT
atpp-1104	222	1	perfetti	perfetti	PROPN
atpp-1104	222	2	,	,	PUNCT
atpp-1104	222	3	c.a	c.a	PROPN
atpp-1104	222	4	.	.	PROPN
atpp-1104	222	5	,	,	PUNCT
atpp-1104	222	6	&	&	CCONJ
atpp-1104	222	7	goldman	goldman	PROPN
atpp-1104	222	8	,	,	PUNCT
atpp-1104	222	9	s.r	s.r	PROPN
atpp-1104	222	10	.	.	PROPN
atpp-1104	222	11	(	(	PUNCT
atpp-1104	222	12	1975	1975	NUM
atpp-1104	222	13	)	)	PUNCT
atpp-1104	222	14	,	,	PUNCT
atpp-1104	222	15	discourse	discourse	NOUN
atpp-1104	222	16	functions	function	NOUN
atpp-1104	222	17	of	of	ADP
atpp-1104	222	18	thematization	thematization	NOUN
atpp-1104	222	19	and	and	CCONJ
atpp-1104	222	20	topicalization	topicalization	NOUN
atpp-1104	222	21	,	,	PUNCT
atpp-1104	222	22	journal	journal	NOUN
atpp-1104	222	23	of	of	ADP
atpp-1104	222	24	psy	psy	PROPN
atpp-1104	222	25	cholinguistic	cholinguistic	ADJ
atpp-1104	222	26	research	research	NOUN
atpp-1104	222	27	,	,	PUNCT
atpp-1104	222	28	4(3	4(3	NUM
atpp-1104	222	29	)	)	PUNCT
atpp-1104	222	30	,	,	PUNCT
atpp-1104	222	31	257	257	NUM
atpp-1104	222	32	-	-	SYM
atpp-1104	222	33	271	271	NUM
atpp-1104	222	34	.	.	PUNCT
atpp-1104	223	1	restivo	restivo	PROPN
atpp-1104	223	2	,	,	PUNCT
atpp-1104	223	3	s.	s.	PROPN
atpp-1104	223	4	,	,	PUNCT
atpp-1104	223	5	van	van	PROPN
atpp-1104	223	6	bendegen	bendegen	PROPN
atpp-1104	223	7	,	,	PUNCT
atpp-1104	223	8	j.	j.	PROPN
atpp-1104	223	9	p.	p.	PROPN
atpp-1104	223	10	,	,	PUNCT
atpp-1104	223	11	&	&	CCONJ
atpp-1104	223	12	fischer	fischer	PROPN
atpp-1104	223	13	,	,	PUNCT
atpp-1104	223	14	r.	r.	PROPN
atpp-1104	223	15	(	(	PUNCT
atpp-1104	223	16	eds	eds	PROPN
atpp-1104	223	17	.	.	PUNCT
atpp-1104	223	18	)	)	PUNCT
atpp-1104	224	1	(	(	PUNCT
atpp-1104	224	2	1993	1993	NUM
atpp-1104	224	3	)	)	PUNCT
atpp-1104	224	4	.	.	PUNCT
atpp-1104	225	1	math	math	NOUN
atpp-1104	225	2	worlds	world	NOUN
atpp-1104	225	3	:	:	PUNCT
atpp-1104	225	4	philosophical	philosophical	ADJ
atpp-1104	225	5	and	and	CCONJ
atpp-1104	225	6	social	social	ADJ
atpp-1104	225	7	studies	study	NOUN
atpp-1104	225	8	of	of	ADP
atpp-1104	225	9	math	math	NOUN
atpp-1104	225	10	ematics	ematic	NOUN
atpp-1104	225	11	and	and	CCONJ
atpp-1104	225	12	mathematics	mathematic	NOUN
atpp-1104	225	13	education	education	NOUN
atpp-1104	225	14	.	.	PUNCT
atpp-1104	226	1	albany	albany	PROPN
atpp-1104	226	2	,	,	PUNCT
atpp-1104	226	3	ny	ny	PROPN
atpp-1104	226	4	:	:	PUNCT
atpp-1104	226	5	state	state	PROPN
atpp-1104	226	6	university	university	PROPN
atpp-1104	226	7	of	of	ADP
atpp-1104	226	8	new	new	PROPN
atpp-1104	226	9	york	york	PROPN
atpp-1104	226	10	press	press	PROPN
atpp-1104	226	11	.	.	PUNCT
atpp-1104	227	1	steiner	steiner	PROPN
atpp-1104	227	2	,	,	PUNCT
atpp-1104	227	3	h.-g	h.-g	PROPN
atpp-1104	227	4	.	.	PUNCT
atpp-1104	227	5	(	(	PUNCT
atpp-1104	227	6	1987	1987	NUM
atpp-1104	227	7	)	)	PUNCT
atpp-1104	227	8	.	.	PUNCT
atpp-1104	228	1	philosophical	philosophical	ADJ
atpp-1104	228	2	and	and	CCONJ
atpp-1104	228	3	epistemological	epistemological	ADJ
atpp-1104	228	4	aspects	aspect	NOUN
atpp-1104	228	5	of	of	ADP
atpp-1104	228	6	mathematics	mathematic	NOUN
atpp-1104	228	7	and	and	CCONJ
atpp-1104	228	8	their	their	PRON
atpp-1104	228	9	interaction	interaction	NOUN
atpp-1104	228	10	with	with	ADP
atpp-1104	228	11	theory	theory	NOUN
atpp-1104	228	12	and	and	CCONJ
atpp-1104	228	13	practice	practice	NOUN
atpp-1104	228	14	in	in	ADP
atpp-1104	228	15	mathematics	mathematic	NOUN
atpp-1104	228	16	education	education	NOUN
atpp-1104	228	17	.	.	PUNCT
atpp-1104	229	1	for	for	ADP
atpp-1104	229	2	the	the	DET
atpp-1104	229	3	learning	learning	NOUN
atpp-1104	229	4	of	of	ADP
atpp-1104	229	5	mathematics	mathematics	PROPN
atpp-1104	229	6	7(1	7(1	NUM
atpp-1104	229	7	)	)	PUNCT
atpp-1104	229	8	,	,	PUNCT
atpp-1104	229	9	7–13	7–13	X
atpp-1104	229	10	.	.	PUNCT
atpp-1104	230	1	thom	thom	PROPN
atpp-1104	230	2	,	,	PUNCT
atpp-1104	230	3	r.	r.	PROPN
atpp-1104	230	4	(	(	PUNCT
atpp-1104	230	5	1973	1973	NUM
atpp-1104	230	6	)	)	PUNCT
atpp-1104	230	7	.	.	PUNCT
atpp-1104	231	1	modern	modern	ADJ
atpp-1104	231	2	mathematics	mathematic	NOUN
atpp-1104	231	3	:	:	PUNCT
atpp-1104	231	4	does	do	AUX
atpp-1104	231	5	it	it	PRON
atpp-1104	231	6	exist	exist	VERB
atpp-1104	231	7	?	?	PUNCT
atpp-1104	232	1	in	in	ADP
atpp-1104	232	2	a.g	a.g	PROPN
atpp-1104	232	3	.	.	PROPN
atpp-1104	232	4	howson	howson	PROPN
atpp-1104	232	5	(	(	PUNCT
atpp-1104	232	6	ed	ed	NOUN
atpp-1104	232	7	.	.	PUNCT
atpp-1104	232	8	)	)	PUNCT
atpp-1104	233	1	,	,	PUNCT
atpp-1104	233	2	developments	development	NOUN
atpp-1104	233	3	in	in	ADP
atpp-1104	233	4	mathematics	mathematics	PROPN
atpp-1104	233	5	edu	edu	PROPN
atpp-1104	233	6	cation	cation	NOUN
atpp-1104	233	7	:	:	PUNCT
atpp-1104	233	8	proceedings	proceeding	NOUN
atpp-1104	233	9	of	of	ADP
atpp-1104	233	10	the	the	DET
atpp-1104	233	11	second	second	ADJ
atpp-1104	233	12	international	international	ADJ
atpp-1104	233	13	congress	congress	PROPN
atpp-1104	233	14	on	on	ADP
atpp-1104	233	15	mathematics	mathematics	PROPN
atpp-1104	233	16	education	education	NOUN
atpp-1104	233	17	(	(	PUNCT
atpp-1104	233	18	pp	pp	ADJ
atpp-1104	233	19	.	.	PUNCT
atpp-1104	234	1	194	194	NUM
atpp-1104	234	2	-	-	SYM
atpp-1104	234	3	209	209	NUM
atpp-1104	234	4	)	)	PUNCT
atpp-1104	234	5	.	.	PUNCT
atpp-1104	235	1	cambridge	cambridge	PROPN
atpp-1104	235	2	:	:	PUNCT
atpp-1104	235	3	cambridge	cambridge	PROPN
atpp-1104	235	4	university	university	PROPN
atpp-1104	235	5	press	press	NOUN
atpp-1104	235	6	.	.	PUNCT
atpp-1104	236	1	thompson	thompson	PROPN
atpp-1104	236	2	,	,	PUNCT
atpp-1104	236	3	a.	a.	NOUN
atpp-1104	236	4	(	(	PUNCT
atpp-1104	236	5	1984	1984	NUM
atpp-1104	236	6	)	)	PUNCT
atpp-1104	236	7	.	.	PUNCT
atpp-1104	237	1	the	the	DET
atpp-1104	237	2	relationship	relationship	NOUN
atpp-1104	237	3	of	of	ADP
atpp-1104	237	4	teachers	teacher	NOUN
atpp-1104	237	5	’	'	PUNCT
atpp-1104	237	6	conceptions	conception	NOUN
atpp-1104	237	7	of	of	ADP
atpp-1104	237	8	mathematics	mathematic	NOUN
atpp-1104	237	9	teaching	teach	VERB
atpp-1104	237	10	to	to	PART
atpp-1104	237	11	instructional	instructional	VERB
atpp-1104	237	12	prac	prac	PROPN
atpp-1104	237	13	tice	tice	NOUN
atpp-1104	237	14	.	.	PUNCT
atpp-1104	238	1	educational	educational	ADJ
atpp-1104	238	2	studies	study	NOUN
atpp-1104	238	3	in	in	ADP
atpp-1104	238	4	mathematics	mathematic	NOUN
atpp-1104	238	5	,	,	PUNCT
atpp-1104	238	6	15	15	NUM
atpp-1104	238	7	,	,	PUNCT
atpp-1104	238	8	105	105	NUM
atpp-1104	238	9	-	-	SYM
atpp-1104	238	10	127	127	NUM
atpp-1104	238	11	.	.	PUNCT
atpp-1104	239	1	thompson	thompson	PROPN
atpp-1104	239	2	,	,	PUNCT
atpp-1104	239	3	a.	a.	NOUN
atpp-1104	239	4	(	(	PUNCT
atpp-1104	239	5	1992	1992	NUM
atpp-1104	239	6	)	)	PUNCT
atpp-1104	239	7	.	.	PUNCT
atpp-1104	240	1	teachers	teacher	NOUN
atpp-1104	240	2	’	'	PUNCT
atpp-1104	240	3	beliefs	belief	NOUN
atpp-1104	240	4	and	and	CCONJ
atpp-1104	240	5	conceptions	conception	NOUN
atpp-1104	240	6	:	:	PUNCT
atpp-1104	240	7	a	a	DET
atpp-1104	240	8	synthesis	synthesis	NOUN
atpp-1104	240	9	of	of	ADP
atpp-1104	240	10	the	the	DET
atpp-1104	240	11	research	research	NOUN
atpp-1104	240	12	.	.	PUNCT
atpp-1104	241	1	in	in	ADP
atpp-1104	241	2	d.	d.	PROPN
atpp-1104	241	3	a.	a.	PROPN
atpp-1104	241	4	grouws	grouws	PROPN
atpp-1104	241	5	(	(	PUNCT
atpp-1104	241	6	ed	ed	NOUN
atpp-1104	241	7	.	.	PUNCT
atpp-1104	241	8	)	)	PUNCT
atpp-1104	241	9	,	,	PUNCT
atpp-1104	241	10	handbook	handbook	NOUN
atpp-1104	241	11	of	of	ADP
atpp-1104	241	12	research	research	NOUN
atpp-1104	241	13	on	on	ADP
atpp-1104	241	14	mathematics	mathematic	NOUN
atpp-1104	241	15	teaching	teaching	NOUN
atpp-1104	241	16	and	and	CCONJ
atpp-1104	241	17	learning	learn	VERB
atpp-1104	241	18	(	(	PUNCT
atpp-1104	241	19	pp.127	pp.127	PROPN
atpp-1104	241	20	-	-	PUNCT
atpp-1104	241	21	146	146	NUM
atpp-1104	241	22	)	)	PUNCT
atpp-1104	241	23	.	.	PUNCT
atpp-1104	242	1	new	new	PROPN
atpp-1104	242	2	york	york	PROPN
atpp-1104	242	3	:	:	PUNCT
atpp-1104	242	4	macmillan	macmillan	PROPN
atpp-1104	242	5	.	.	PROPN
atpp-1104	242	6	törner	törner	PROPN
atpp-1104	242	7	,	,	PUNCT
atpp-1104	242	8	g.	g.	PROPN
atpp-1104	242	9	(	(	PUNCT
atpp-1104	242	10	1996	1996	NUM
atpp-1104	242	11	)	)	PUNCT
atpp-1104	242	12	.	.	PUNCT
atpp-1104	243	1	views	view	NOUN
atpp-1104	243	2	of	of	ADP
atpp-1104	243	3	german	german	ADJ
atpp-1104	243	4	mathematics	mathematic	NOUN
atpp-1104	243	5	teachers	teacher	NOUN
atpp-1104	243	6	on	on	ADP
atpp-1104	243	7	mathematics	mathematic	NOUN
atpp-1104	243	8	.	.	PUNCT
atpp-1104	244	1	in	in	ADP
atpp-1104	244	2	h.-g	h.-g	PROPN
atpp-1104	244	3	.	.	PUNCT
atpp-1104	245	1	weigand	weigand	PROPN
atpp-1104	245	2	,	,	PUNCT
atpp-1104	245	3	et	et	NOUN
atpp-1104	245	4	.	.	PUNCT
atpp-1104	246	1	al	al	PROPN
atpp-1104	246	2	.	.	PROPN
atpp-1104	247	1	(	(	PUNCT
atpp-1104	247	2	eds	ed	NOUN
atpp-1104	247	3	.	.	PUNCT
atpp-1104	247	4	)	)	PUNCT
atpp-1104	248	1	,	,	PUNCT
atpp-1104	248	2	developments	development	NOUN
atpp-1104	248	3	in	in	ADP
atpp-1104	248	4	mathematics	mathematics	PROPN
atpp-1104	248	5	education	education	NOUN
atpp-1104	248	6	in	in	ADP
atpp-1104	248	7	germany	germany	PROPN
atpp-1104	248	8	.	.	PUNCT
atpp-1104	249	1	selected	select	VERB
atpp-1104	249	2	papers	paper	NOUN
atpp-1104	249	3	from	from	ADP
atpp-1104	249	4	the	the	DET
atpp-1104	249	5	annual	annual	ADJ
atpp-1104	249	6	conference	conference	NOUN
atpp-1104	249	7	on	on	ADP
atpp-1104	249	8	didactics	didactics	NOUN
atpp-1104	249	9	of	of	ADP
atpp-1104	249	10	mathematics	mathematic	NOUN
atpp-1104	249	11	,	,	PUNCT
atpp-1104	249	12	regensburg	regensburg	PROPN
atpp-1104	249	13	1996	1996	NUM
atpp-1104	249	14	(	(	PUNCT
atpp-1104	249	15	pp	pp	ADJ
atpp-1104	249	16	.	.	PUNCT
atpp-1104	250	1	116	116	NUM
atpp-1104	250	2	-	-	SYM
atpp-1104	250	3	129	129	NUM
atpp-1104	250	4	)	)	PUNCT
atpp-1104	250	5	.	.	PUNCT
atpp-1104	251	1	hildesheim	hildesheim	PROPN
atpp-1104	251	2	:	:	PUNCT
atpp-1104	251	3	franzbecker	franzbecker	PROPN
atpp-1104	251	4	.	.	PUNCT
atpp-1104	251	5	tymoczko	tymoczko	PROPN
atpp-1104	251	6	t.	t.	PROPN
atpp-1104	251	7	(	(	PUNCT
atpp-1104	251	8	1986	1986	NUM
atpp-1104	251	9	)	)	PUNCT
atpp-1104	251	10	.	.	PUNCT
atpp-1104	252	1	new	new	ADJ
atpp-1104	252	2	directions	direction	NOUN
atpp-1104	252	3	in	in	ADP
atpp-1104	252	4	the	the	DET
atpp-1104	252	5	philosophy	philosophy	NOUN
atpp-1104	252	6	of	of	ADP
atpp-1104	252	7	mathematics	mathematics	PROPN
atpp-1104	252	8	.	.	PUNCT
atpp-1104	253	1	boston	boston	PROPN
atpp-1104	253	2	:	:	PUNCT
atpp-1104	253	3	brikhauser	brikhauser	NOUN
atpp-1104	253	4	.	.	PUNCT
atpp-1104	254	1	address	address	NOUN
atpp-1104	254	2	correspondences	correspondence	NOUN
atpp-1104	254	3	to	to	ADP
atpp-1104	254	4	:	:	PUNCT
atpp-1104	254	5	dimitris	dimitris	PROPN
atpp-1104	254	6	chassapis	chassapis	PROPN
atpp-1104	254	7	university	university	PROPN
atpp-1104	254	8	of	of	ADP
atpp-1104	254	9	athens	athens	PROPN
atpp-1104	254	10	faculty	faculty	NOUN
atpp-1104	254	11	of	of	ADP
atpp-1104	254	12	early	early	ADJ
atpp-1104	254	13	childhood	childhood	PROPN
atpp-1104	254	14	education	education	NOUN
atpp-1104	254	15	navarinou	navarinou	PROPN
atpp-1104	254	16	13a	13a	PROPN
atpp-1104	254	17	,	,	PUNCT
atpp-1104	254	18	106	106	NUM
atpp-1104	254	19	80	80	NUM
atpp-1104	254	20	athens	athen	NOUN
atpp-1104	254	21	,	,	PUNCT
atpp-1104	254	22	greece	greece	PROPN
atpp-1104	254	23	dchasapis@ecd.uoa.gr	dchasapis@ecd.uoa.gr	VERB