<?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>0102-2555</journal-id>
<journal-title><![CDATA[Revista da Faculdade de Educação]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Fac. Educ.]]></abbrev-journal-title>
<issn>0102-2555</issn>
<publisher>
<publisher-name><![CDATA[Faculdade de Educação da USP]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0102-25551990000100005</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[O conceito de proporcionalidade]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ruiz]]></surname>
<given-names><![CDATA[Adriano Rodrigues]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Carvalho]]></surname>
<given-names><![CDATA[Anna Maria Pessoa de]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A05">
<institution><![CDATA[,Universidade Estadual de Maringá  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A05">
<institution><![CDATA[,USP Faculdade de Educação ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>1990</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>1990</year>
</pub-date>
<volume>16</volume>
<numero>1-2</numero>
<fpage>97</fpage>
<lpage>131</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S0102-25551990000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S0102-25551990000100005&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S0102-25551990000100005&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Neste trabalho testamos uma metodologia para o ensino de proporções, com ênfase na formação do conceito de proporcionalidade, levando em consideração o fato de que o raciocínio proporcional envolve uma estrutura de pensamento bastante complexa. Com essa preocupação, desenvolvemos as atividades de ensino, explorando situações manipulativas e utilizando conceitos que apresentam parentesco próximo com proporções. Isso possibilitou aos alunos compreender a inclusão dos dois pares de termos que constituem uma proporção nos conjuntos domínio e imagem da função linear, que é modelo de invariança das proporções.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Um this work we made a testament about methodology by teaching of proportions, in emphasis in the formation of the concept of proportionality, bringing consideration the fact of the proportional ratiocination to involve one structure of thinking too complex. With this worry we situations and making use the concepts that present neighboring relationship with proportions. That made possible the students to identify the proportionality like a relation of constant reason and to understand the inclusion of the two pairs of terms that constitute one proportion in the conjuncts dominion and image of the linear function, that is the patterns of invariability of the proportions.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Ensino de Matemática]]></kwd>
<kwd lng="pt"><![CDATA[Formação de Conceito]]></kwd>
<kwd lng="pt"><![CDATA[Raciocínio Proporcional]]></kwd>
<kwd lng="pt"><![CDATA[Função Linear]]></kwd>
<kwd lng="en"><![CDATA[Mathematics]]></kwd>
<kwd lng="en"><![CDATA[Education]]></kwd>
<kwd lng="en"><![CDATA[Formation of the Concepts]]></kwd>
<kwd lng="en"><![CDATA[Proportional Ratiocination]]></kwd>
<kwd lng="en"><![CDATA[Linear Function]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face="Arial, Helvetica, sans-serif"> <h2>O conceito de proporcionalidade.</h2>     <p>&nbsp;</p> <h4>Adriano Rodrigues Ruiz,  Anna Maria Pessoa de Carvalho</h4> </font>      ]]></body>
</article>
