<?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>0100-3143</journal-id>
<journal-title><![CDATA[Educação e Realidade]]></journal-title>
<abbrev-journal-title><![CDATA[Educ. Real.]]></abbrev-journal-title>
<issn>0100-3143</issn>
<publisher>
<publisher-name><![CDATA[Universidade Federal do Rio Grande do Sul - Faculdade de Educação]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0100-31432015000300859</article-id>
<article-id pub-id-type="doi">10.1590/2175-623641714</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Análise Combinatória: do método aleatório à combinatória sistemática]]></article-title>
<article-title xml:lang="en"><![CDATA[Combinatorial Analysis: from random method to systematic combinatorics]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Duro]]></surname>
<given-names><![CDATA[Mariana Lima]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Becker]]></surname>
<given-names><![CDATA[Fernando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade Federal do Rio Grande do Sul  ]]></institution>
<addr-line><![CDATA[Porto Alegre RS]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>09</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>09</month>
<year>2015</year>
</pub-date>
<volume>40</volume>
<numero>3</numero>
<fpage>859</fpage>
<lpage>882</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S0100-31432015000300859&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S0100-31432015000300859&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S0100-31432015000300859&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Nesta pesquisa busca-se compreender a psicog&#234;nese do pensamento combinat&#243;rio na perspectiva da Epistemologia Gen&#233;tica de Jean Piaget. Analisa-se os mecanismos utilizados por estudantes do ensino m&#233;dio na resolu&#231;&#227;o de situa&#231;&#245;es experimentais de an&#225;lise combinat&#243;ria, no intuito de compreender como esta no&#231;&#227;o &#233; constru&#237;da por eles. O pensamento dos sujeitos &#233; analisado ressaltando suas semelhan&#231;as, enquanto estruturas de racioc&#237;nio, na constru&#231;&#227;o de possibilidades. Acredita-se que alguns m&#233;todos escolares possam prejudicar a constru&#231;&#227;o do racioc&#237;nio formal, justificando as dificuldades dos jovens em compreender mecanismos combinat&#243;rios.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[This research seeks to understand the psychogenesis of the combinatorial thought from the perspective of the genetic epistemology of Jean Piaget. It analyzes the mechanisms used by high school students in solving combinatorial analysis of experimental situations in order to understand how this notion is built by them. The thought of the subjects is analyzed emphasizing their similarities, as reasoning structures, when building possibilities. We believe that some school methods can hinder the construction of the formal reasoning, explaining the difficulties of young people in understanding combinatorial mechanisms.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Combinatória]]></kwd>
<kwd lng="pt"><![CDATA[Epistemologia Genética]]></kwd>
<kwd lng="pt"><![CDATA[Aprendizagem]]></kwd>
<kwd lng="pt"><![CDATA[Matemática]]></kwd>
<kwd lng="en"><![CDATA[Combinatorics]]></kwd>
<kwd lng="en"><![CDATA[Genetic Epistemology]]></kwd>
<kwd lng="en"><![CDATA[Learning]]></kwd>
<kwd lng="en"><![CDATA[Mathematics]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[ASSIS]]></surname>
<given-names><![CDATA[Orly Z. Mantovani de]]></given-names>
</name>
<name>
<surname><![CDATA[MOLINÁRI]]></surname>
<given-names><![CDATA[Adriana Cirder]]></given-names>
</name>
<name>
<surname><![CDATA[ZAIA]]></surname>
<given-names><![CDATA[Lia Leme]]></given-names>
</name>
<name>
<surname><![CDATA[RABIÓGLIO]]></surname>
<given-names><![CDATA[Marta]]></given-names>
</name>
<name>
<surname><![CDATA[BESSA]]></surname>
<given-names><![CDATA[Sônia]]></given-names>
</name>
</person-group>
<source><![CDATA[O Desafio de Ensinar e Aprender Matemática na Educação Básica]]></source>
<year></year>
<publisher-loc><![CDATA[Campinas ]]></publisher-loc>
<publisher-name><![CDATA[UNICAMP]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
