PONTIFÍCIA UNIVERSIDADE CATÓLICA DE SÃO PAULO
PUC/SP
Sandra de Fátima Tavares Rodrigues Tonon
O Projeto de Aceleração da Aprendizagem Ensinar e
Aprender: a Formação Continuada em Debate
MESTRADO EM EDUCAÇÃO MATEMÁTICA
PONTIFÍCIA UNIVERSIDADE CATÓLICA DE SÃO PAULO
PUC/SP
Sandra de Fátima Tavares Rodrigues Tonon
O Projeto de Aceleração da Aprendizagem Ensinar e
Aprender: a Formação Continuada em Debate
Dissertação apresentada à Banca Examinadora da Pontifícia Universidade Católica de São Paulo, como exigência parcial para obtenção do título de MESTRE
EM EDUCAÇÃO MATEMÁTICA, sob a orientação da
Profa. Dra. ANA LÚCIA MANRIQUE.
Banca Examinadora
________________________________________
________________________________________
Autorizo, exclusivamente para fins acadêmicos e científicos, a reprodução total ou parcial desta Dissertação por processos de fotocopiadoras ou eletrônicos.
Imagine um grupo de pessoas que habitam o interior de uma caverna subterrânea. Elas estão de costas para a entrada da caverna e acorrentadas no pescoço e nos pés, de sorte que tudo o que vêem é a parede da caverna. Atrás delas ergue-se um muro alto e por trás desse muro passam figuras de formas humanas sustentando outras figuras que se elevam para além da borda do muro. Como há uma fogueira queimando atrás dessas figuras, elas projetam sombras bruxuleantes na parede da caverna. Assim, a única coisa que as pessoas da caverna podem ver é este “teatro de sombras”. E como essas pessoas estão ali desde que nasceram elas acham que as sombras que vêem são as únicas coisas que existe.
Imagine agora que um desses habitantes da caverna consiga se libertar daquela prisão. Primeiramente ele se pergunta de onde vêm aquelas sombras projetadas na parede da caverna. Depois consegue se libertar dos grilhões que o prendem. [...] a luz é tão intensa que ele não consegue enxergar nada. [...] Mas depois de esfregar os olhos, ele verá como tudo é bonito. Pela primeira vez verá cores e contornos precisos; verá animais e flores de verdade, de que as figuras da parede da caverna não passavam de imitações baratas. [...].
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):T3;14):,M+),): ).694)KI6+65;15<),)6.-9-+1,);-=-+6467967Q:1;6:)
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!96/9)4) ,<+)KI6 65;15<),) 6 !" ! !96/9)4) )7)+1;)KI6
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) N5.):- 5) 46,)31,),- D ,1:;G5+1) :6* 6 )9/<4-5;6 ,- 8<- -::-: 4-16: 76,-4=19):<79196<)4-51@)9).694)KI679-+F91),6796.-::695;9-;)5;6
):)=)31)KS-:,-::)46,)31,),-;N43-=)5;),6,T=1,)::6*9-):<)-.1+F+1)
+0)4)5,6));-5KI67)9)614769;)5;-7)7-3,):15;-9)KS-:0<4)5):
) +)7)+1;)KI6 ,6+-5;- =19) 7-9:<):I6 ,6+-5;- 1:;6 7698<- 7)9;- ,6 ;-476 ,-:;15),6 D .694)KI6M,-:;15),6)+65=-5+-96,6+-5;-:6*9-)14769;G5+1)
,): 56=): 4-,1,): 1:;6 7698<- 5) 4)1691) ,): =-@-: 6: 796.-::69-: 5I6
7)9;1+17)4,6796+-::6,-,-.151KI6,):763O;1+):,-.694)KI6
::14 6 8<- 7-9+-*-46: M 8<- ) .694)KI6 +65;15<),) .61 )::<415,6 <4
+)9F;-9,-.694)KI6+647-5:);Q91) +6467967Q:1;6,-79--5+0-9 3)+<5):,-1>),):
7-3) .694)KI6 151+1)3 65:;);):- 8<- 6: 796/9)4): ,- .694)KI6 +65;15<),)
,-:-5=63=1,6: ,-:,- 6: )56: ,- 5I6 796,<@19)4 6: 9-:<3;),6: -:7-9),6:
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)*69,)9)4 6;-4).694)KI6+65;15<),)- ;9);)9)4
,)8<-:;I6,)1,-5;1,),-- ,) 796.1::165)31@)KI6 ,6+,)8<-:;I6,)1,-5;1,),--5;,)8<-:;I6,)1,-5;1,),-- ,)8<-:;I6,)1,-5;1,),--::,)8<-:;I6,)1,-5;1,),-- 7,)8<-:;I6,)1,-5;1,),--9O6,6 )6: ,)8<-:;I6,)1,-5;1,),--:;<,6: :6*9,)8<-:;I6,)1,-5;1,),-- .694)KI6
+65;15<),) +6*919)4 ):7+;6: 93)+165),6: )6: +65;>;6: 796+,145;6:
-9-+<9:6:,--5:156<;131@),6:
49-+699N5+1),-:;):7-:8<1:):);;1-)99-;6 7 )765;)4
8<-:-;-47-9+-*1,6<446=14-5;6,-9-+65+-1;<)KI6,).694)KI6+65;15<),):
79676:;): 15:719),): 56 +65+-1;6 +)7)+1;)KI6 +-4 3</)9 )6 +65+-1;6
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+-5;96,-);-5KS-:-15;-5KS-:56:7962-;6:,-.694)KI6+65;15<),)
-::) +65+-7KI6 ,- .694)KI6 +646 <4 +65;O5<6 )6 365/6 ,) =1,) 6
796+-::6 ,-.694)KI6 M4Q=-3 - 76,- :-9 1,-5;1.1+),6 +64 ): ,1.-9-5;-:.):-: ,)
=1,) 796.1::165)3 6 15O+16 ,) +)99-19) 6 796+-::6 ,- ,-:-5=63=14-5;6 - )
+65:631,)KI6,)->7-91N5+1)
4 ,<9)5;- <4) 7)3-:;9) 796.-91,) 5) !%#! !65;- ;-+-< )3/<4):
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699-:765,-)=-96-5:156+646)+;1=1,),-;M+51+)-96;15-19)
5+69)2) U9-4-5,6:V 5): .9)52): ,) 79F;1+) -4 =-@ ,- .)@-9 <4 9-->)4-;6;)3,)79F;1+)
$-44<1;):=-@-:<4) 9-,<@1,),1)6< +65,-5:),):-4)5) 15;-5:1=)
#-/<- <4 46,-36 U)+),N41+6V 6< U-:+63)9V 796/9)4) 79M,-.151,6 )+;1=1,),-:-:;9<;<9),):3Q/1+),-;9)5:41::I6,-+650-+14-5;6:
!6,-46:-5;I6 =-91.1+)98<-)KS-:765;<)1:.1+)4)47)9),)::6*6)4736
