<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1981-2582</journal-id>
<journal-title><![CDATA[Educação]]></journal-title>
<abbrev-journal-title><![CDATA[Educação. Porto Alegre]]></abbrev-journal-title>
<issn>1981-2582</issn>
<publisher>
<publisher-name><![CDATA[Pontifícia Universidade Católica do Rio Grande do Sul]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1981-25822009000200010</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Fundamentação teórica para as perguntas primárias: O que é matemática? por que ensinar? como se ensina e como se aprende?]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Garcia]]></surname>
<given-names><![CDATA[Vera Clotilde Vanzetto]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A10">
<institution><![CDATA[,UFRGS  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2009</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2009</year>
</pub-date>
<volume>32</volume>
<numero>02</numero>
<fpage>176</fpage>
<lpage>184</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1981-25822009000200010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1981-25822009000200010&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1981-25822009000200010&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[O presente artigo oferece suporte teórico para questões primárias que estão no início de qualquer atividade docente em matemática: O que é matemática? Porque ensinar matemática? Como se aprende e como se ensina? O objetivo é contribuir para a formação do professor pesquisador nas áreas de Educação Matemática e Ensino de Matemática. O estudo concentrou-se no modelo teórico do Construtivismo Social, proposto pelo educador matemático inglês Paul Ernest, que opta pelos conceitos de “falibilismo” e “conversação” para conceber Matemática. Ensino para promover o “empowerment” e a “apreciação da Matemática”, desenvolvendo ideias da teoria de aprendizagem de Vygotsky e do ensino segundo a “Educação Matemática Crítica”.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[This paper offers theoretical basis to primary questions posed at the beginning of any mathematics teacher’s activity. What is mathematics? Why teach mathematics? How do we learn and how to teach mathematics? The aim is to contribute to mathematics practical researcher education. The study is concentrated on Social Construtivism theoretical model, as defined by Paul Ernest, English mathematics educator. The focus are “falibilism” and “conversation” to conceive Mathematics. Teach to favor “empowerment”, Vygotsky ideas as learning theory and Critical Mathematic Education as teaching ways.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Professor de Matemática Pesquisador]]></kwd>
<kwd lng="pt"><![CDATA[Construtivismo Social]]></kwd>
<kwd lng="pt"><![CDATA[Falibilismo]]></kwd>
<kwd lng="pt"><![CDATA[Empowerment]]></kwd>
<kwd lng="pt"><![CDATA[Conversação]]></kwd>
<kwd lng="pt"><![CDATA[Educação Matemática Crítica]]></kwd>
<kwd lng="en"><![CDATA[Mathematics Practical Researcher]]></kwd>
<kwd lng="en"><![CDATA[Social Constructivism]]></kwd>
<kwd lng="en"><![CDATA[Falibilism]]></kwd>
<kwd lng="en"><![CDATA[Empowerment]]></kwd>
<kwd lng="en"><![CDATA[Critical Mathematic Education]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="Arial, Helvetica, sans-serif"> <h2>Fundamenta&ccedil;&atilde;o  te&oacute;rica para as perguntas prim&aacute;rias: O que &eacute; matem&aacute;tica? Por que ensinar? Como  se ensina e como se aprende?</h2> <h3>Theoretical foundations to answer the primary  questions: What&rsquo;s mathematics? Why teach mathematics? How to teach and how  people learn it?</h3>     <p>&nbsp;</p> <h4>Vera  Clotilde Vanzetto Garcia    <br> </h4> </font>      ]]></body><back>
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</article>
