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Subject: EXPRESSO: Artigo
Date: Sat, 18 Jan 2003 01:00:34 -0000
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            Calouste Gulbenkian. Na v=E9spera da sua chegada, ouvimos o =
que tem a=20
            dizer sobre investiga=E7=E3o e =
educa=E7=E3o.<BR><BR></SPAN><SPAN=20
            class=3Dassi-revista>Entrevista e fotografia de Nuno =
Crato</SPAN>
            <DIV class=3Despacolinhas10>&nbsp;</DIV><SPAN =
class=3Dtexto-interior>
            <P class=3Dpar->
            <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D187 =
align=3Dright border=3D0=20
            xmlns=3D"http://www.w3.org/TR/REC-html40"=20
            xmlns:user=3D"http://mycompany.com/mynamespace"=20
            xmlns:msxsl=3D"urn:schemas-microsoft-com:xslt">
              <TBODY>
              <TR>
                <TD><IMG height=3D1=20
                  =
src=3D"http://segundasedicoes.expresso.pt/common/images/1x1t.gif"=20
                  width=3D7></TD>
                <TD><A=20
                  =
href=3D"http://segundasedicoes.expresso.pt/foto/default.asp?id_artigo=3DE=
S42190&amp;imagem=3DF2-R1541"=20
                  target=3D_new><IMG height=3D115=20
                  =
src=3D"http://segundasedicoes.expresso.pt/imagens/ed1516/fotos/media/F2-R=
1541.jpg"=20
                  width=3D187 border=3D0></A>
                  <DIV class=3Despacolinhas4>&nbsp;</DIV>
                  <DIV class=3Dlegenda>Escola Polit=E9cnica do Rio de =
Janeiro, local=20
                  onde trabalhavam os matem=E1ticos e cientistas antes =
de existir=20
                  universidade</DIV>
                  <DIV =
class=3Despacolinhas10>&nbsp;</DIV></TD></TR></TBODY></TABLE>A=20
            primeira vez que encontrei Elon Lages Lima foi com uma =
emo=E7=E3o=20
            especial. Tinha lido e estudado v=E1rios dos seus livros e o =
seu jeito=20
            de explicar de forma intuitiva os conceitos matem=E1ticos =
mais=20
            dif=EDceis sempre me tinha seduzido. O estilo corrido dos =
seus textos,=20
            em que os s=EDmbolos apareciam no meio de frases, =
contrastava com a=20
            exposi=E7=E3o habitual da matem=E1tica moderna, em que as =
palavras quase=20
            n=E3o existem num mundo de s=EDmbolos. Fui para =E0 =
esta=E7=E3o de camionagem=20
            com um dos seus livros =97 a sua fotografia aparecia na =
contracapa.=20
            Sabia que Lages Lima ia com uma fotografia minha que =
apareceu no=20
            EXPRESSO, e que tinha obtido possivelmente atrav=E9s da =
Internet.</P>
            <P class=3Dpar->Procur=E1mos um pelo outro, mas n=E3o nos =
conseguimos=20
            identificar. A fotografia do professor brasileiro tinha sido =
tirada=20
            h=E1 algumas dezenas de anos. E a minha tinha sido feita num =
momento=20
            menos feliz; quem n=E3o me conhecesse podia dar-me 10 ou 20 =
anos a=20
            mais. Finalmente identific=E1mo-nos com surpresa. Quem mais =
poderia=20
            passear-se com um livro de An=E1lise Matem=E1tica e quem =
mais poderia=20
            levar um recorte do EXPRESSO? Mas Elon n=E3o tinha o bigode =
farfalhudo=20
            da fotografia, nem eu estava assim t=E3o acabado...Quando se =
fala em=20
            matem=E1tica e em educa=E7=E3o no Brasil, o nome de Elon =
Lages Lima=20
            aparece sempre =E0 cabe=E7a de uma lista de acad=E9micos =
ilustres que=20
            deram, nas =FAltimas d=E9cadas, um novo impulso =E0 =
matem=E1tica brasileira.=20
            Um dos primeiros do seu pa=EDs a doutorar-se nos Estados =
Unidos e a=20
            trabalhar em grandes centros de investiga=E7=E3o =
internacionais, Lages=20
            Lima confessa que sempre quis ser escritor e que a sua vida =
tem sido=20
            uma sucess=E3o de acasos que o empurraram para a =
investiga=E7=E3o e o=20
            ensino. Professor reputado e investigador do Instituto de =
Matem=E1tica=20
            Pura e Aplicada =97 o c=E9lebre IMPA do Rio de Janeiro =97, =
tem dedicado=20
            grande energia e engenho =E0 redac=E7=E3o de monografias e =
textos=20
            expositivos, todos de elevada qualidade. Elon Lages Lima =E9 =

            matem=E1tico, mas tamb=E9m se tornou escritor, com um =
talento que se=20
            revela tanto nos seus textos avan=E7ados como na =
divulga=E7=E3o, nos=20
            di=E1logos e nas hist=F3rias que relata e que apaixonam o =
leitor. Numa=20
            longa conversa, fal=E1mos da matem=E1tica no Brasil, da vida =
de Lages=20
            Lima e da educa=E7=E3o matem=E1tica.</P>
            <P class=3Dpar-><B>O desenvolvimento recente da matem=E1tica =
no Brasil=20
            tem sido admir=E1vel. Quais s=E3o as origens da matem=E1tica =
contempor=E2nea=20
            no Brasil?</B></P>
            <P class=3Dpar->
            <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D187 =
align=3Dright border=3D0=20
            xmlns=3D"http://www.w3.org/TR/REC-html40"=20
            xmlns:user=3D"http://mycompany.com/mynamespace"=20
            xmlns:msxsl=3D"urn:schemas-microsoft-com:xslt">
              <TBODY>
              <TR>
                <TD><IMG height=3D1=20
                  =
src=3D"http://segundasedicoes.expresso.pt/common/images/1x1t.gif"=20
                  width=3D7></TD>
                <TD><A=20
                  =
href=3D"http://segundasedicoes.expresso.pt/foto/default.asp?id_artigo=3DE=
S42190&amp;imagem=3DF1-R1541"=20
                  target=3D_new><IMG height=3D228=20
                  =
src=3D"http://segundasedicoes.expresso.pt/imagens/ed1516/fotos/media/F1-R=
1541.jpg"=20
                  width=3D187 border=3D0></A>
                  <DIV class=3Despacolinhas4>&nbsp;</DIV>
                  <DIV class=3Dlegenda>Elon Lages Lima, numa fotografia =
recente.=20
                  Um dos primeiros a doutorar-se fora do Brasil (nos =
EUA), este=20
                  acad=E9mico estar=E1 em Portugal na pr=F3xima semana =
para falar=20
                  sobre educa=E7=E3o matem=E1tica</DIV>
                  <DIV=20
            =
class=3Despacolinhas10>&nbsp;</DIV></TD></TR></TBODY></TABLE>Entre=20
            n=F3s, o primeiro matem=E1tico a fazer pesquisa =
significativa foi um=20
            indiv=EDduo chamado Joaquim Gomes de Sousa =97 o Souzinha =
=97, um g=E9nio=20
            polivalente, uma pessoa de esp=EDrito inquieto, que morreu =
antes dos=20
            40 anos. Depois de Souzinha, tivemos alguns matem=E1ticos =
autodidactas=20
            e desligados das institui=E7=F5es cient=EDficas. Tivemos =
Otto de Alencar,=20
            que era professor da Escola Polit=E9cnica do Rio de Janeiro, =
e que fez=20
            alguns trabalhos sobre fun=E7=F5es de vari=E1vel complexa e =
geometria=20
            diferencial, e que morreu igualmente antes dos 40 =
anos.Depois houve=20
            um outro matem=E1tico, mais fil=F3sofo do que matem=E1tico, =
mas tamb=E9m=20
            matem=E1tico e f=EDsico matem=E1tico, o Amoroso Costa, =
professor na Escola=20
            Polit=E9cnica, que teve uma morte tr=E1gica =97 quando o =
Santos Dumont=20
            voltou para o Brasil vindo de Paris, com todo aquele sucesso =
da=20
            inven=E7=E3o do avi=E3o, do mais-pesado-que-o-ar, um grupo =
de professores=20
            resolveu fazer um voo em volta da Ba=EDa de Guanabara para =
receber o=20
            Santos Dumont. Mas o avi=E3o caiu e todos morreram. Isso =
contribuiu,=20
            inclusivamente, para piorar a situa=E7=E3o psicol=F3gica de =
Santos Dumont,=20
            que tinha problemas severos de depress=E3o, tanto que poucos =
anos=20
            depois se suicidou. Depois de Amoroso Costa apareceu =
Theodoro Ramos,=20
            que estudou no Rio de Janeiro mas era de S=E3o Paulo.</P>
            <P class=3Dpar-><B>Tudo isso se passava no s=E9culo XIX e =
princ=EDpios do=20
            XX, quando n=E3o existiam ainda universidades no Brasil. =
Onde=20
            trabalhavam essas pessoas?</B></P>
            <P class=3Dpar->Trabalhavam na Escola Polit=E9cnica do Rio =
de Janeiro, =E0=20
            excep=E7=E3o de Souzinha, que foi professor do Col=E9gio =
Pedro II. Todos=20
            eles deram contributos interessantes. Mas diria que o =
primeiro=20
            matem=E1tico brasileiro a ter uma certa continuidade nas =
suas=20
            pesquisas e a publicar em revistas estrangeiras importantes =
foi o=20
            L=E9lio Gama, que veio a ser o primeiro director do =
IMPA.</P>
            <P class=3Dpar-><B>Por que faziam essas pessoas =
matem=E1tica? Tinham=20
            tido um treino avan=E7ado nessa disciplina?</B></P>
            <P class=3Dpar->At=E9 bem recentemente os matem=E1ticos =
brasileiros eram=20
            todos engenheiros. Eu fui o primeiro professor do IMPA que =
n=E3o era=20
            formado em engenharia. Era normal encontrar m=E9dicos a =
fazer=20
            investiga=E7=E3o em biologia, advogados a investigar em =
ci=EAncias humanas=20
            e engenheiros em matem=E1tica ou f=EDsica. Essa era a norma. =
Exactamente=20
            porque n=E3o havia universidades. A Universidade do Rio de =
Janeiro foi=20
            criada para poder dar-se o t=EDtulo de Doutor Honoris Causa =
ao rei da=20
            B=E9lgica, em 1920.</P>
            <P class=3Dpar-><B>Enquanto isto acontecia no Rio de =
Janeiro, que se=20
            passava nos outros locais do Brasil?</B></P>
            <P class=3Dpar->Havia lampejos de produ=E7=E3o matem=E1tica =
noutros estados,=20
            principalmente em S=E3o Paulo. Durante a guerra, em 1932-34, =
Theodoro=20
            Ramos foi convidado para organizar o departamento de =
matem=E1tica da=20
            nova Universidade de S=E3o Paulo e fez uma coisa =
extraordin=E1ria: em=20
            vez de se auto-indicar professor, como seria natural, foi a =
It=E1lia=20
            e, aproveitando-se da situa=E7=E3o antes da guerra, que l=E1 =
era=20
            tumultuosa, sobretudo devido ao anti-semitismo, trouxe =
alguns=20
            professores de qualidade not=E1vel.</P>
            <P class=3Dpar-><B></B></P>
            <P class=3Dpar->No Rio estiveram tamb=E9m muitos visitantes=20
            estrangeiros, sobretudo italianos e um portugu=EAs que =
desempenhou um=20
            papel muito importante. Foi Ant=F3nio Aniceto Monteiro, que=20
            infelizmente teve de sair devido a dificuldades de natureza=20
            pol=EDtica.</P>
            <P class=3Dpar-><B>Que papel tiveram os outros matem=E1ticos =
portugueses=20
            que foram exilados para o Brasil, nomeadamente Ruy Lu=EDs =
Gomes, um=20
            oposicionista ao regime de Salazar que chegou a =
candidatar-se a=20
            Presidente da Rep=FAblica contra o regime?</B></P>
            <P class=3Dpar->
            <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D187 =
align=3Dright border=3D0=20
            xmlns=3D"http://www.w3.org/TR/REC-html40"=20
            xmlns:user=3D"http://mycompany.com/mynamespace"=20
            xmlns:msxsl=3D"urn:schemas-microsoft-com:xslt">
              <TBODY>
              <TR>
                <TD><IMG height=3D1=20
                  =
src=3D"http://segundasedicoes.expresso.pt/common/images/1x1t.gif"=20
                  width=3D7></TD>
                <TD><A=20
                  =
href=3D"http://segundasedicoes.expresso.pt/foto/default.asp?id_artigo=3DE=
S42190&amp;imagem=3DF3-R1541"=20
                  target=3D_new><IMG height=3D270=20
                  =
src=3D"http://segundasedicoes.expresso.pt/imagens/ed1516/fotos/media/F3-R=
1541.jpg"=20
                  width=3D187 border=3D0></A></TD></TR></TBODY></TABLE>O =
professor Ruy=20
            Lu=EDs Gomes =E9 a figura mais ilustre no Recife, onde =
deixou v=E1rios=20
            alunos. Mas tamb=E9m tiveram um papel importante pessoas =
como o=20
            professor Pereira Gomes, ou o professor Manuel Zaluar, que =
n=E3o era=20
            um matem=E1tico de primeir=EDssimo n=EDvel, mas um professor =
muito bom e=20
            uma pessoa humana extraordin=E1ria, que conduzia bem os =
jovens=20
            estudantes nos seus estudos, e tamb=E9m o professor Morgado, =
na=20
            =E1lgebra. Acho que estes matem=E1ticos portugueses que =
estiveram no=20
            Recife ajudaram, de facto, a formar uma escola que tem hoje =
em dia=20
            um departamento de matem=E1tica muito bom. Mas, na minha =
opini=E3o, a=20
            influ=EAncia maior no Brasil foi a do professor Ant=F3nio =
Aniceto=20
            Monteiro, n=E3o s=F3 porque tinha um n=EDvel muito elevado =
mas tamb=E9m=20
            porque era uma pessoa extremamente din=E2mica, tanto que =
quando saiu=20
            do Brasil e foi para a Argentina fundou, numa universidade =
pequena=20
            do sul, um n=FAcleo de l=F3gica matem=E1tica que ainda hoje =
floresce.</P>
            <P class=3Dpar-><B>A princ=EDpio, como encarava a =
Universidade a=20
            investiga=E7=E3o?</B></P>
            <P class=3Dpar->Na =E9poca, n=E3o havia muito acolhimento =
para a pesquisa=20
            em matem=E1tica, n=E3o havia sequer a figura de professor a =
tempo=20
            inteiro. Os professores eram, na sua quase totalidade, =
profissionais=20
            bem sucedidos, engenheiros, advogados ou m=E9dicos bem =
sucedidos, que,=20
            como parte da sua carreira ilustre, ostentavam o t=EDtulo de =
professor=20
            universit=E1rio. Assim, os esfor=E7os dos professores =
estrangeiros e dos=20
            poucos matem=E1ticos brasileiros n=E3o tiveram continuidade, =
n=E3o havia=20
            um curso normal de doutoramento, por exemplo. Um assistente =
da=20
            faculdade trabalhava durante uns anos num assunto, escrevia =
uma=20
            tese, defendia a tese e era doutor, mas n=E3o havia um =
curso, nem=20
            turmas de estudantes.</P>
            <P class=3Dpar-><B>Em que altura come=E7ou a haver cursos de =

            p=F3s-gradua=E7=E3o?</B></P>
            <P class=3Dpar->Oficialmente, em 1968-69; outros cursos =
n=E3o=20
            completamente reconhecidos tiveram o seu in=EDcio uns dez =
anos antes.=20
            O IMPA foi criado em 1952, era um instituto de =
investiga=E7=E3o=20
            cient=EDfica que oferecia cursos de p=F3s-gradua=E7=E3o, mas =
esses cursos=20
            n=E3o tinham nenhum reconhecimento oficial. </P>
            <P class=3Dpar-><B></B></P>
            <P class=3Dpar->O IMPA foi um factor de grande import=E2ncia =
na cria=E7=E3o=20
            de uma massa cr=EDtica de pessoas, a trabalhar no mesmo =
lugar, a=20
            produzir sistematicamente e a formar jovens. Diria que o ano =
de=20
            amadurecimento da matem=E1tica brasileira foi 1970, altura =
em que no=20
            IMPA se organizaram semin=E1rios de pesquisa, sobretudo nas =
=E1reas de=20
            sistemas din=E2micos, =E1lgebra, geometria diferencial e =
topologia.</P>
            <P class=3Dpar-><B>Foi para o IMPA ap=F3s o seu =
doutoramento? </B></P>
            <P class=3Dpar->Sim, mas a situa=E7=E3o a princ=EDpio era =
dif=EDcil. Os=20
            sal=E1rios dos professores eram baixos, na verdade n=E3o se =
podia=20
            depender desses sal=E1rios. Eu fiquei ainda durante quatro =
anos, at=E9=20
            que fui para Princeton, depois para a Universidade Columbia, =
em Nova=20
            Iorque, depois para Bras=EDlia e s=F3 voltei para o IMPA em =
1968.</P>
            <P class=3Dpar-><B>O que o levou a ir para o estrangeiro e a =
fazer o=20
            doutoramento?</B></P>
            <P class=3Dpar->
            <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D187 =
align=3Dright border=3D0=20
            xmlns=3D"http://www.w3.org/TR/REC-html40"=20
            xmlns:user=3D"http://mycompany.com/mynamespace"=20
            xmlns:msxsl=3D"urn:schemas-microsoft-com:xslt">
              <TBODY>
              <TR>
                <TD><IMG height=3D1=20
                  =
src=3D"http://segundasedicoes.expresso.pt/common/images/1x1t.gif"=20
                  width=3D7></TD>
                <TD><A=20
                  =
href=3D"http://segundasedicoes.expresso.pt/foto/default.asp?id_artigo=3DE=
S42190&amp;imagem=3DF4-R1541"=20
                  target=3D_new><IMG height=3D282=20
                  =
src=3D"http://segundasedicoes.expresso.pt/imagens/ed1516/fotos/media/F4-R=
1541.jpg"=20
                  width=3D187 =
border=3D0></A></TD></TR></TBODY></TABLE>Essas coisas=20
            acontecem n=E3o porque se segue um percurso planeado, mas =
porque as=20
            circunst=E2ncias nos impelem a faz=EA-las. Na verdade, o que =
eu sempre=20
            quis na minha vida foi ser professor e escrever. Nem sabia =
que ia=20
            ser matem=E1tico, queria ser escritor =97 poeta, dramaturgo, =
jornalista,=20
            escritor de romances ou novelas, qualquer coisa que =
envolvesse=20
            escrever. E queria ensinar. Mas um dia, quando dava aulas de =
ensino=20
            prim=E1rio no Cear=E1, um professor de matem=E1tica do =
col=E9gio concorreu=20
            para o Banco do Brasil, e deixou de repente todas as turmas. =
O=20
            director viu-se em palpos de aranha e perguntou-me se eu =
n=E3o queria=20
            dar aquelas aulas de matem=E1tica, e assim me tornei =
matem=E1tico, ou=20
            professor de matem=E1tica. Como professor do ensino =
secund=E1rio,=20
            comecei a frequentar a faculdade de forma=E7=E3o de =
professores em=20
            matem=E1tica e, por acaso, conheci uma pessoa que estudava =
no Rio e=20
            que conseguiu convencer os professores de l=E1 a darem-me =
uma bolsa=20
            para terminar os meus estudos no Rio. E eu fui, porque =
queria ter um=20
            diploma para ser professor. Quando cheguei ao Rio, vi que =
existiam=20
            outras coisas, como a pesquisa, que eu podia prosseguir. Um =
dia,=20
            recebemos a visita de um director da Funda=E7=E3o =
Rockefeller,=20
            levaram-me at=E9 ele, e ele resolveu dar-me uma bolsa para =
ir para os=20
            Estados Unidos estudar matem=E1tica. As coisas s=E3o assim. =
Em poucos=20
            anos passei de professor prim=E1rio no Cear=E1, a doutorando =
e, depois,=20
            doutor pela Universidade de Chicago, sem que tivesse feito =
planos=20
            para chegar a esse ponto. </P>
            <P class=3Dpar-><B>Foi nessa altura que come=E7aram a ir =
estudar para=20
            fora futuros matem=E1ticos brasileiros?</B></P>
            <P class=3Dpar->Sim, eu fui o segundo brasileiro a obter um=20
            doutoramento em matem=E1tica nos Estados Unidos. O primeiro =
foi um=20
            rapaz de S=E3o Paulo que tinha chegado um ano antes de =
mim.</P>
            <P class=3Dpar-><B>Para onde se vai estudar, =
actualmente?</B></P>
            <P class=3Dpar->Neste momento, o fluxo de estudantes =
brasileiros que=20
            v=E3o estudar fora do Brasil diminuiu consideravelmente, na =
medida em=20
            que aumentaram as oportunidades dentro do pa=EDs. De =
qualquer forma,=20
            continua a considerar-se que o p=F3s-doutoramento deve ser =
feito fora=20
            do pa=EDs. E isso tem vantagens: se se tiver um doutoramento =
de=20
            razo=E1vel qualidade no pa=EDs, o p=F3s-doutoramento =E9 =
mais barato e d=E1 ao=20
            jovem muito mais liberdade. </P>
            <P class=3Dpar-><B>No Brasil, as pessoas que fazem o =
doutoramento numa=20
            universidade brasileira ficam nessa universidade ou v=E3o =
para outra?=20
            H=E1 pa=EDses que adoptaram a pol=EDtica de ningu=E9m ficar =
na universidade=20
            onde estuda, para fomentar a circula=E7=E3o de =
ideias.</B></P>
            <P class=3Dpar->No caso dos estudantes brasileiros que saem =
para fazer=20
            o doutoramento noutra universidade brasileira podem =
acontecer duas=20
            coisas: h=E1 os que j=E1 t=EAm uma posi=E7=E3o inicial na =
carreira, e esses=20
            voltam para a universidade de origem, porque l=E1 t=EAm um =
emprego fixo=20
            garantido; mas h=E1 os que querem estudar no Rio ou em S=E3o =
Paulo, que=20
            s=E3o os lugares preferidos, e que em geral n=E3o voltam. Ou =
ficam na=20
            universidade onde fizeram o doutoramento, o que n=E3o =E9 =
muito comum e=20
            existem apenas alguns casos, ou v=E3o para outras =
universidades onde=20
            h=E1 mais oportunidades.</P>
            <P class=3Dpar-><B>Falemos agora de educa=E7=E3o, que =E9 um =
tema que o tem=20
            ocupado. Fala-se nas defici=EAncias dos alunos, mas poucas =
vezes se=20
            questiona o sistema de forma=E7=E3o de professores. Como =
acha que devem=20
            ser preparados os professores de matem=E1tica?</B></P>
            <P class=3Dpar->Tocou num ponto essencial. A esse respeito, =
lembro-me=20
            de um livro escrito h=E1 poucos anos por uma educadora =
americana=20
            chamada Rosetta Cohen, professora de educa=E7=E3o da =
Universidade de=20
            Harvard, cujo t=EDtulo =E9 =ABA Lifetime of Teaching=BB. =
Esse livro consiste=20
            em cinco longas entrevistas com professores secund=E1rios, =
que foram=20
            seleccionados atrav=E9s de um processo laborioso, no sentido =
de=20
            escolher pessoas de =E1reas diferentes e muito consideradas =
na sua=20
            profiss=E3o. No final, existe um ep=EDlogo que ela =
acrescentou a essas=20
            entrevistas, que se intitula =ABThe Case Against Education=20
            Departments=BB. E diz ela que a surpreendeu, durante o longo =
per=EDodo=20
            em que fez as entrevistas, o facto de essas pessoas, sem que =
ela=20
            lhes fizesse a pergunta, pois pedia-lhes apenas para falarem =
sobre a=20
            sua experi=EAncia no ensino, terem sempre encontrado forma =
de=20
            criticarem, voluntariamente e com grande paix=E3o, a sua =
forma=E7=E3o de=20
            professores nas faculdades. Achei not=E1vel que esta =
professora, que =E9=20
            uma professora de um departamento de educa=E7=E3o, tenha =
tido a=20
            honestidade de admitir isto. E estes professores repetiam, =
quase=20
            todos, o que Polya tinha j=E1 observado: os alunos dos =
cursos para=20
            professores diziam que nos departamentos de educa=E7=E3o =
lhes era=20
            oferecida uma sopa rala, e nos departamentos de matem=E1tica =
uma carne=20
            dura que n=E3o conseguiam digerir. E sa=EDam da faculdade =
assim.</P>
            <P class=3Dpar-><B>Por que falavam de uma =ABsopa =
rala=BB?</B></P>
            <P class=3Dpar->
            <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D187 =
align=3Dright border=3D0=20
            xmlns=3D"http://www.w3.org/TR/REC-html40"=20
            xmlns:user=3D"http://mycompany.com/mynamespace"=20
            xmlns:msxsl=3D"urn:schemas-microsoft-com:xslt">
              <TBODY>
              <TR>
                <TD><IMG height=3D1=20
                  =
src=3D"http://segundasedicoes.expresso.pt/common/images/1x1t.gif"=20
                  width=3D7></TD>
                <TD><A=20
                  =
href=3D"http://segundasedicoes.expresso.pt/foto/default.asp?id_artigo=3DE=
S42190&amp;imagem=3DF5-R1541"=20
                  target=3D_new><IMG height=3D272=20
                  =
src=3D"http://segundasedicoes.expresso.pt/imagens/ed1516/fotos/media/F5-R=
1541.jpg"=20
                  width=3D187 border=3D0></A></TD></TR></TBODY></TABLE>A =
professora Cohen=20
            dizia que todos criticavam os cursos de educa=E7=E3o que =
lhes eram=20
            oferecidos por serem triviais e at=E9 aviltantes, uma =
esp=E9cie de=20
            insulto =E0 sua intelig=EAncia, porque eram cursos que =
ofereciam alguns=20
            princ=EDpios razo=E1veis, mas que podiam ser dados no =
m=E1ximo num=20
            semestre, e n=E3o em v=E1rios anos. Por aqui pode perceber =
qual =E9 a=20
            minha opini=E3o sobre este assunto. Penso que a educa=E7=E3o =
pedag=F3gica=20
            para futuros professores de matem=E1tica poderia resumir-se =
a um certo=20
            n=FAmero de preceitos b=E1sicos, e que n=E3o merece toda a =
import=E2ncia e a=20
            dimens=E3o que lhe atribuem.</P>
            <P class=3Dpar-><B>No entanto, n=E3o =E9 essa a tend=EAncia =
que tem=20
            prevalecido.</B></P>
            <P class=3Dpar->Pois n=E3o. Acontece que um certo n=FAmero =
de pensadores e=20
            de intelectuais dedicados a esta =E1rea da educa=E7=E3o =
querem, sobretudo=20
            em Fran=E7a e Inglaterra, e em alguns lugares dos Estados =
Unidos,=20
            atribuir =E0 educa=E7=E3o a posi=E7=E3o e a qualidade da =
investiga=E7=E3o=20
            cient=EDfica. Para isso, criam teorias, fazem propostas, =
oferecem=20
            doutoramentos. Tudo isto =E9 muito prejudicial. Oferece-se a =
pessoas=20
            de baixo n=EDvel intelectual a oportunidade de fazer um =
doutoramento,=20
            pessoas que, em geral, s=E3o provenientes do ensino da =
matem=E1tica nas=20
            universidades, desprovidas da qualidade que as permita fazer =
um=20
            doutoramento decente em matem=E1tica. Depois, essas pessoas =
regressam=20
            e s=E3o parasitas nos departamentos de matem=E1tica: n=E3o =
podem dar aulas=20
            de c=E1lculo ou de equa=E7=F5es diferenciais, s=F3 podem dar =
aulas de=20
            pedagogia matem=E1tica para formar pessoas que, depois, =
ir=E3o fazer a=20
            mesma coisa. E assim o seu n=FAmero vai aumentando. Chegam =
ao ponto=20
            de, no Brasil, editarem revistas onde est=E1 escrito e =
repetido que em=20
            educa=E7=E3o matem=E1tica, o importante n=E3o =E9 a =
matem=E1tica, o importante =E9=20
            a educa=E7=E3o.</P>
            <P class=3Dpar-><B>Quais s=E3o as posi=E7=F5es recentes que =
t=EAm sido=20
            defendidas para a educa=E7=E3o em matem=E1tica?</B></P>
            <P class=3Dpar->A educa=E7=E3o tem-se nutrido de ondas que =
se assemelham=20
            =E0s modas que os grandes costureiros lan=E7am anualmente, a =
fim de=20
            poderem vender os seus produtos. Ap=F3s um longo =
predom=EDnio do ensino=20
            da matem=E1tica baseado em treino de manipula=E7=F5es, houve =
uma reac=E7=E3o=20
            baseada numa ideia justa, que =E9 a ideia da matem=E1tica =
moderna, que=20
            pregava a unifica=E7=E3o das coisas baseadas na no=E7=E3o de =
conjunto e no=20
            pensamento abstracto =97 Dieudonn=E9 achava que o pensamento =
abstracto =E9=20
            uma forma de democratizar o ensino, porque n=E3o deixa nada =
para a=20
            imagina=E7=E3o, fica tudo bastante claro, expl=EDcito e =
rigoroso, embora=20
            na verdade tenha cometido erros brutais de concep=E7=E3o. =
</P>
            <P class=3Dpar-><B></B></P>
            <P class=3Dpar->Este modelo da matem=E1tica moderna =
esgotou-se, porque=20
            partiu de uma ideia que tinha certas facetas bastante =
positivas, mas=20
            que, levadas ao extremo e, principalmente, postas em =
pr=E1tica na=20
            escola por pessoas que n=E3o entendiam o alcance daquelas =
ideias, era=20
            como se se pusessem as costureiras de bairro a costurar =
modelos de=20
            Christian Dior ou de Versace. Desmoralizou-se e foi =
substitu=EDda por=20
            outra onda, o =ABback to basics=BB, que num certo sentido =
constituiu um=20
            retorno =E0s origens, mas que tamb=E9m se esgotou porque =
n=E3o era j=E1=20
            poss=EDvel manter a cren=E7a de que a matem=E1tica deveria =
ser ensinada=20
            como o era h=E1 100 anos. Cada onda destas dura cerca de uma =

            d=E9cada.</P>
            <P class=3Dpar-><B></B></P>
            <P class=3Dpar->Isto foi substitu=EDdo pela onda do =
=ABproblem solving=BB,=20
            que tamb=E9m =E9 uma ideia interessante, porque matem=E1tica =
=E9 resolver=20
            problemas, mas =E9 necess=E1rio um fundamento te=F3rico que, =
no fim de=20
            contas, =E9 a matem=E1tica. Uma maneira de olharmos para a =
matem=E1tica =E9=20
            consider=E1-la um conjunto de modelos abstractos para =
explicar=20
            situa=E7=F5es concretas, que por serem abstractos se aplicam =
a uma=20
            quantidade enorme de situa=E7=F5es diferentes e que, se =
examinadas em=20
            particular, n=E3o nos d=E3o uma no=E7=E3o do que =E9 a =
matem=E1tica.Depois, o=20
            =ABproblem solving=BB foi substitu=EDdo pela onda actual, =
que =E9 a de=20
            contextualiza=E7=E3o, e na qual toda a matem=E1tica tem de =
partir de=20
            problemas da realidade, do dia-a-dia, que devem ser =
resolvidos de=20
            forma concreta =97 =E9 uma ideia boa mas igualmente =
prejudicial se=20
            levada a extremos. N=E3o sei qual ser=E1 a pr=F3xima, hoje =
estamos, =E9=20
            claro, sob a influ=EAncia enorme da tecnologia, do =
pragmatismo, dos=20
            computadores e das calculadoras, que s=E3o instrumentos =
fant=E1sticos,=20
            mas que n=E3o podemos esperar que substituam o c=E9rebro. A =
educa=E7=E3o=20
            matem=E1tica alimenta-se, assim, destas ondas sucessivas do =
mesmo modo=20
            que a alta costura e certo tipo de artes.</P>
            <P class=3Dpar-><B>O que =E9 que nos fica de todas essas =
modas?</B></P>
            <P class=3Dpar->A solu=E7=E3o =E9 desenvolver um ensino =
equilibrado, isolar=20
            nessas tend=EAncias tr=EAs componentes b=E1sicos cujo =
equil=EDbrio determina=20
            o =EAxito do bom ensino da matem=E1tica: =
conceptualiza=E7=E3o, manipula=E7=E3o e=20
            aplica=E7=E3o, uma esp=E9cie de trip=E9 que sustenta o =
ensino da matem=E1tica.=20
            Sem um deles, a coisa desaba, n=E3o se equilibra. O mais =
interessante=20
            =E9 que para as aplica=E7=F5es, para o que denominam hoje em =
dia de=20
            contextualiza=E7=E3o, a conceptualiza=E7=E3o =E9 mais =
importante do que a=20
            manipula=E7=E3o, j=E1 que, para se poder aplicar =
matem=E1tica, tem de se ter=20
            a teoria subjacente; quando se quer modelar um fen=F3meno=20
            matematicamente, tem que se conhecer as propriedades =
caracter=EDsticas=20
            da fun=E7=E3o que se vai usar. Como saber, por exemplo, se =
se deve=20
            utilizar uma fun=E7=E3o exponencial ou uma fun=E7=E3o =
linear?</P><FONT=20
            color=3D#ffffff>44</FONT></SPAN> <BR clear=3Dall><!-- =
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	FONT-SIZE: 95%; LINE-HEIGHT: 110%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: 0px
}
.titulo-ablack {
	FONT-SIZE: 150%; LINE-HEIGHT: 100%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.titulo-times {
	FONT-SIZE: 20px; LINE-HEIGHT: 20px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.titulo-gr {
	FONT-SIZE: 180%; LINE-HEIGHT: 100%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.titulo-times-gr {
	FONT-SIZE: 28px; LINE-HEIGHT: 28px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.postitulo {
	FONT-WEIGHT: bold; FONT-SIZE: 100%; COLOR: #990000; FONT-FAMILY: Arial, =
Helvetica, sans-serif
}
.postitulocinza {
	FONT-WEIGHT: bold; FONT-SIZE: 100%; COLOR: #3f7bad; FONT-FAMILY: Arial, =
Helvetica, sans-serif
}
.entrada {
	FONT-SIZE: 105%; LINE-HEIGHT: 100%; FONT-FAMILY: Arial, Helvetica, =
Sans-serif
}
.chamada {
	FONT-SIZE: 120%; LINE-HEIGHT: 110%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px; TEXT-ALIGN: center
}
.chamadapequena {
	FONT-SIZE: 100%; LINE-HEIGHT: 95%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px; TEXT-ALIGN: center
}
.texto {
	FONT-SIZE: 90%; FONT-FAMILY: "Times New Roman", Times, serif
}
.texto-peq {
	FONT-SIZE: 80%; FONT-FAMILY: "Times New Roman", Times, serif
}
.texto-interior {
	FONT-SIZE: 95%; FONT-FAMILY: "Times New Roman", Times, serif
}
.tit-caixa {
	FONT-SIZE: 75%; TEXT-TRANSFORM: uppercase; COLOR: #ffffff; LINE-HEIGHT: =
120%; FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif; =
LETTER-SPACING: 1px; BACKGROUND-COLOR: #204b6f
}
.texto-caixa {
	FONT-SIZE: 80%; FONT-FAMILY: Arial, Helvetica, sans-serif
}
.texto-caixa-interior {
	FONT-SIZE: 14px; FONT-FAMILY: Arial, Helvetica, sans-serif
}
.art-rel-off {
	FONT-SIZE: 71%; COLOR: #999999; LINE-HEIGHT: 100%; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.art-rel-on {
	FONT-SIZE: 71%; LINE-HEIGHT: 100%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.actualiz {
	FONT-SIZE: 9px; COLOR: #333366; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif
}
.actualiz-data {
	FONT-SIZE: 9px; COLOR: #cc0000; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif
}
.actualiz-txt {
	FONT-WEIGHT: bold; FONT-SIZE: 12px; LINE-HEIGHT: 10px; FONT-FAMILY: =
"Times New Roman", Times, serif
}
.assi-frases {
	FONT-SIZE: 70%; LINE-HEIGHT: 100%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; TEXT-ALIGN: right
}
.breves {
	FONT-SIZE: 70%; LINE-HEIGHT: 90%; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.espacolinhas2px {
	LINE-HEIGHT: 2px
}
.espacolinhas2 {
	LINE-HEIGHT: 2pt
}
.espacolinhas4 {
	LINE-HEIGHT: 4pt
}
.espacolinhas6 {
	LINE-HEIGHT: 6pt
}
.espacolinhas8 {
	LINE-HEIGHT: 8px
}
.espacolinhas10 {
	LINE-HEIGHT: 10px
}
.espacolinhas14 {
	LINE-HEIGHT: 14px
}
.legenda {
	FONT-WEIGHT: bold; FONT-SIZE: 70%; LINE-HEIGHT: 120%; FONT-FAMILY: =
Arial, Helvetica, sans-serif
}
.link {
	TEXT-DECORATION: none
}
.link:hover {
	TEXT-DECORATION: underline
}
.link-k {
	COLOR: #000000; TEXT-DECORATION: none
}
.link-k:hover {
	COLOR: #000000; TEXT-DECORATION: underline
}
.link-k-visited {
	COLOR: #000000; TEXT-DECORATION: none
}
.link-k-visited:hover {
	COLOR: #000000; TEXT-DECORATION: underline
}
.link-k-visited:visited {
	COLOR: #999999
}
.link-w {
	COLOR: #ffffff; TEXT-DECORATION: none
}
.link-w:hover {
	COLOR: #ffffff; TEXT-DECORATION: underline
}
.link-r {
	COLOR: #000000; TEXT-DECORATION: none
}
.link-r:hover {
	COLOR: #000000; TEXT-DECORATION: underline
}
.par- {
	MARGIN-TOP: 0pt; MARGIN-BOTTOM: 8pt
}
.par-0 {
	MARGIN-TOP: 0pt; MARGIN-BOTTOM: 0pt
}
.par-assifim {
	FONT-WEIGHT: bold; FONT-SIZE: 75%; FONT-FAMILY: Arial, Helvetica, =
sans-serif; TEXT-ALIGN: right
}
.par-subtitle {
	FONT-SIZE: 110%; PADDING-TOP: 6pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.par-subsubtitle {
	FONT-SIZE: 11px; PADDING-TOP: 6pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.texto-cita {
	FONT-SIZE: 14px; FONT-STYLE: italic; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.texto-cita-interior {
	FONT-SIZE: 15px; FONT-STYLE: italic; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.bar-caixa-r {
	FONT-SIZE: 11px; COLOR: #ffffff; LINE-HEIGHT: 18px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #336699
}
.titulo-caixa-gr {
	FONT-SIZE: 100%; TEXT-TRANSFORM: uppercase; COLOR: #ffffff; =
LINE-HEIGHT: 120%; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif; LETTER-SPACING: -1px
}
.titulo-caixa-med {
	FONT-SIZE: 90%; TEXT-TRANSFORM: uppercase; COLOR: #ffffff; LINE-HEIGHT: =
120%; FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif; =
LETTER-SPACING: -1px
}
.texto-caixa-big {
	FONT-SIZE: 400%; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif
}
.texto-caixa-gr {
	FONT-SIZE: 300%; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif
}
.bar-art-rel {
	FONT-SIZE: 11px; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.copyright {
	FONT-SIZE: 8px; LINE-HEIGHT: 10px; FONT-FAMILY: verdana, Arial, =
Helvetica, sans-serif
}
.edicao-data {
	FONT-SIZE: 11px; LINE-HEIGHT: 10px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.txt-dec-none-w {
	COLOR: white; TEXT-DECORATION: none
}
.tit-revista-gr {
	FONT-SIZE: 250%; COLOR: #cc6600; LINE-HEIGHT: 85%; FONT-FAMILY: "Times =
New Roman", Times, serif
}
.tit-revista {
	FONT-SIZE: 190%; COLOR: #cc6600; LINE-HEIGHT: 90%; FONT-FAMILY: "Times =
New Roman", Times, serif
}
.tit-revista-preto {
	FONT-SIZE: 190%; LINE-HEIGHT: 90%; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.tit-antevisao {
	FONT-SIZE: 12px; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.tit-momentos {
	FONT-SIZE: 12px; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.tit-qualvida {
	FONT-WEIGHT: bold; FONT-SIZE: 140%; LINE-HEIGHT: 100%; FONT-FAMILY: =
"Times New Roman", Times, serif
}
.tit-tendencias {
	FONT-WEIGHT: bold; FONT-SIZE: 140%; LINE-HEIGHT: 100%; FONT-FAMILY: =
"Times New Roman", Times, serif
}
.tit-rev-opi {
	FONT-WEIGHT: bold; FONT-SIZE: 105%; LINE-HEIGHT: 100%; FONT-FAMILY: =
"Times New Roman", Times, serif
}
.tit-semana {
	FONT-SIZE: 11px; VERTICAL-ALIGN: middle; TEXT-TRANSFORM: uppercase; =
FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif; =
LETTER-SPACING: -1px
}
.txt-antevisao {
	FONT-SIZE: 16px; LINE-HEIGHT: 11px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.antetit-primeira-momentos {
	FONT-WEIGHT: bold; FONT-SIZE: 10px; TEXT-TRANSFORM: uppercase; =
LINE-HEIGHT: 10px; FONT-FAMILY: "Times New Roman", Times, serif
}
.antetit-art-momentos {
	FONT-WEIGHT: bold; FONT-SIZE: 13px; TEXT-TRANSFORM: uppercase; =
LINE-HEIGHT: 13px; FONT-FAMILY: "Times New Roman", Times, serif
}
.antetit-revista {
	FONT-SIZE: 75%; TEXT-TRANSFORM: uppercase; COLOR: #933d00; LINE-HEIGHT: =
140%; FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif
}
.antetitgr-revista {
	FONT-SIZE: 90%; TEXT-TRANSFORM: uppercase; COLOR: #933d00; LINE-HEIGHT: =
140%; FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif
}
.postitulo-revista {
	FONT-WEIGHT: bold; FONT-SIZE: 110%; COLOR: #999999; LINE-HEIGHT: 140%; =
FONT-FAMILY: "Times New Roman", Times, serif
}
.assi-rev-opiniao {
	FONT-SIZE: 16px; LINE-HEIGHT: 11px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.assi-revista {
	FONT-WEIGHT: bold; FONT-SIZE: 60%; LINE-HEIGHT: 11px; FONT-FAMILY: =
verdana, Arial, Helvetica, Sans-serif
}
.barra-semana {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #003366
}
.destaque-opiniao-rev {
	FONT-WEIGHT: bold; FONT-SIZE: 11px; COLOR: #cc6600; LINE-HEIGHT: 13px; =
FONT-FAMILY: Arial, Helvetica, sans-serif
}
.dias-antevisao {
	FONT-WEIGHT: bold; FONT-SIZE: 10px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.dias-antevisao-primeira-letra {
	FONT-WEIGHT: bold; FONT-SIZE: 16px; FONT-FAMILY: "Times New Roman", =
Times, serif
}
.entrada-revista {
	FONT-SIZE: 14px; LINE-HEIGHT: 15px; FONT-FAMILY: Arial, Helvetica, =
Sans-serif
}
.legenda-revista {
	FONT-WEIGHT: bold; FONT-SIZE: 9px; COLOR: #cc6600; LINE-HEIGHT: 10px; =
FONT-FAMILY: Verdana, Arial, Helvetica, sans-serif
}
.link-rev {
	COLOR: #cc6600; TEXT-DECORATION: none
}
.link-rev:hover {
	COLOR: #cc6600; TEXT-DECORATION: underline
}
.numero-antevisao {
	FONT-SIZE: 50px; COLOR: #cc6600; LINE-HEIGHT: 40px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -3px
}
.pratos-ementa {
	FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: #999999; LINE-HEIGHT: 12px; =
FONT-FAMILY: "Times New Roman", Times, serif
}
.semana-antevisao {
	FONT-SIZE: 10px; COLOR: #ffffff; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #cc6600
}
.bar-opiniao {
	FONT-SIZE: 11px; COLOR: #ffffff; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #336699
}
.antetit-opiniao {
	FONT-SIZE: 10px; COLOR: #003366; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.tit-opiniao {
	FONT-SIZE: 18px; COLOR: #666633; LINE-HEIGHT: 18px; FONT-STYLE: italic; =
FONT-FAMILY: "Times New Roman", Times, serif
}
.destaque-opiniao {
	FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: #003366; LINE-HEIGHT: 14px; =
FONT-FAMILY: Arial, Helvetica, sans-serif
}
.orelha-opiniao {
	FONT-SIZE: 10px; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.assi-opiniao {
	FONT-SIZE: 11px; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.orelha-pais {
	FONT-SIZE: 100%; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; BACKGROUND-COLOR: #336699
}
.tit-semana-pais {
	FONT-SIZE: 16px; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif; LETTER-SPACING: -1px
}
.orelha-economia {
	FONT-SIZE: 100%; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; BACKGROUND-COLOR: #336699
}
.legenda-sobdesc {
	FONT-SIZE: 9px; COLOR: #000000; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif
}
.subirdescer {
	FONT-SIZE: 17px; COLOR: #003366; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.orelha-inter {
	FONT-SIZE: 105%; COLOR: #003366; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.orel-intern {
	FONT-SIZE: 10px; COLOR: #003366; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.assi-vidas {
	FONT-SIZE: 11px; VERTICAL-ALIGN: middle; FONT-FAMILY: "Arial Black", =
Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.barra-vidas {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #990066
}
.barra-vidas-assinatura {
	FONT-SIZE: 11px; COLOR: #000000; LINE-HEIGHT: 16px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #eaeaea
}
.barra-vidas-opiniao {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #666666
}
.entrada-vidas {
	FONT-SIZE: 15px; LINE-HEIGHT: 11pt; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.orel-vidas {
	FONT-SIZE: 12px; COLOR: #006699; LINE-HEIGHT: 10px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, sans-serif
}
.tit-breves-vidas {
	FONT-SIZE: 11px; LINE-HEIGHT: 13px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, sans-serif; LETTER-SPACING: -1px
}
.tit-gente-vidas {
	FONT-WEIGHT: bold; FONT-SIZE: 16px; LINE-HEIGHT: 12px; FONT-FAMILY: =
Arial, Helvetica, sans-serif
}
.tit-caixa-vidas {
	FONT-SIZE: 12px; TEXT-TRANSFORM: uppercase; LINE-HEIGHT: 16px; =
FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif
}
.tit-orel-vidas {
	FONT-SIZE: 12px; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.titulo-vidas {
	FONT-SIZE: 24px; LINE-HEIGHT: 20px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.orelha-cartaz {
	FONT-SIZE: 10px; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.antetit-cartaz {
	FONT-SIZE: 12px; TEXT-TRANSFORM: uppercase; COLOR: #336699; =
LINE-HEIGHT: 10px; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif
}
.assi-cartaz {
	FONT-SIZE: 11px; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.bar-seccao-cartaz {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #003366
}
.entrada-cartaz {
	FONT-SIZE: 14px; LINE-HEIGHT: 15px; FONT-FAMILY: Arial, Helvetica, =
Sans-serif
}
.tit-evento-cartaz {
	FONT-SIZE: 11px; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: 0px
}
.tit-evento-assinatura-cartaz {
	FONT-SIZE: 10px; LINE-HEIGHT: 10px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.legenda-cartaz {
	FONT-WEIGHT: bold; FONT-SIZE: 11px; LINE-HEIGHT: 12px; FONT-FAMILY: =
Arial, Helvetica, sans-serif
}
.orel-cartaz {
	FONT-SIZE: 10px; COLOR: #ffffff; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.thead-cartaz {
	FONT-SIZE: 10px; COLOR: #ffffff; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.texto-caixas-cartaz {
	FONT-SIZE: 10px; FONT-FAMILY: Arial, Helvetica, sans-serif
}
.tit-cartaz {
	FONT-SIZE: 24px; LINE-HEIGHT: 20px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.tit-cartaz-arti {
	FONT-SIZE: 28px; LINE-HEIGHT: 22px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.tit-cartaz-class {
	FONT-SIZE: 11px; FONT-FAMILY: "Arial Black", Arial, Helvetica, =
Sans-serif; LETTER-SPACING: -1px
}
.caixa-pesquisa {
	FONT-SIZE: 11px; VERTICAL-ALIGN: middle; LINE-HEIGHT: 11pt; =
FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif; =
LETTER-SPACING: -1px
}
.ablack-9-9 {
	FONT-SIZE: 9px; COLOR: #000000; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif
}
.ablack-10-b2 {
	FONT-SIZE: 10px; COLOR: #003366; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.arial-10-10 {
	FONT-SIZE: 10px; LINE-HEIGHT: 10px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.arial-11-11 {
	FONT-SIZE: 12px; LINE-HEIGHT: 12px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.arial-24-20 {
	FONT-SIZE: 24px; LINE-HEIGHT: 20px; FONT-FAMILY: Arial, Helvetica, =
sans-serif
}
.ablack-9-9-w-k {
	FONT-SIZE: 9px; COLOR: #ffffff; LINE-HEIGHT: 9px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #000000
}
.ablack-10-b {
	FONT-SIZE: 10px; COLOR: #336699; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.ablack-10-w {
	FONT-SIZE: 10px; COLOR: #ffffff; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.ablack-10-10-r {
	FONT-SIZE: 10px; COLOR: #cc0033; LINE-HEIGHT: 10px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif
}
.ablack-10-11-w-b {
	FONT-SIZE: 10px; COLOR: #ffffff; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; BACKGROUND-COLOR: #003366
}
.ablack-11-9-1 {
	FONT-SIZE: 11px; VERTICAL-ALIGN: middle; FONT-FAMILY: "Arial Black", =
Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.ablack-11-11-1 {
	FONT-SIZE: 11px; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.ablack-11-11-1-gy {
	FONT-SIZE: 11px; COLOR: #999999; LINE-HEIGHT: 11px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.ablack-11-10-b {
	FONT-SIZE: 11px; COLOR: #003366; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, sans-serif
}
.ablack-12-10 {
	FONT-SIZE: 12px; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial Black", Arial, =
Helvetica, Sans-serif
}
.ablack-12-10-b {
	FONT-SIZE: 12px; COLOR: #003366; LINE-HEIGHT: 10pt; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, sans-serif
}
.ablack-12-16-caps {
	FONT-SIZE: 12px; TEXT-TRANSFORM: uppercase; LINE-HEIGHT: 16px; =
FONT-FAMILY: "Arial Black", Arial, Helvetica, Sans-serif
}
.ablack-15-15-1-w {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 15px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px
}
.ablack-12-12-1-w-b {
	FONT-SIZE: 12px; COLOR: #ffffff; LINE-HEIGHT: 15px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: 1px; =
BACKGROUND-COLOR: #003366
}
.ablack-15-15-1-w-b {
	FONT-SIZE: 15px; COLOR: #ffffff; LINE-HEIGHT: 17px; FONT-FAMILY: "Arial =
Black", Arial, Helvetica, Sans-serif; LETTER-SPACING: -1px; =
BACKGROUND-COLOR: #003366
}
.ablack-50-40 {
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