<?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>2448-8089</journal-id>
<journal-title><![CDATA[Educación matemática]]></journal-title>
<abbrev-journal-title><![CDATA[Educ. mat.]]></abbrev-journal-title>
<issn>2448-8089</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Investigación y Divulgación de la Educación Matemática A.C.; Universidad de Guadalajara]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2448-80892022000100186</article-id>
<article-id pub-id-type="doi">10.24844/em3401.07</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[A representação gráfica na aprendizagem de funções por alunos do 10.º ano de escolaridade]]></article-title>
<article-title xml:lang="en"><![CDATA[The graphical representation in the learning of functions by 10th grade students]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Viseu]]></surname>
<given-names><![CDATA[Floriano]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[André]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rocha]]></surname>
<given-names><![CDATA[Helena]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martins]]></surname>
<given-names><![CDATA[Paula Mendes]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade do Minho Instituto de Educação ]]></institution>
<addr-line><![CDATA[Braga ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Braga  ]]></institution>
<addr-line><![CDATA[Braga ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia CICS.NOVA]]></institution>
<addr-line><![CDATA[Lisboa ]]></addr-line>
<country>Portugal</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidade do Minho Escola de Ciências ]]></institution>
<addr-line><![CDATA[Braga ]]></addr-line>
<country>Portugal</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<volume>34</volume>
<numero>1</numero>
<fpage>186</fpage>
<lpage>213</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892022000100186&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892022000100186&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892022000100186&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: A exploração de diferentes representações promove a compreensão dos tópicos de funções. Partindo deste pressuposto, com este estudo pretende-se analisar o contributo da representação gráfica na aprendizagem da noção de função inversa e da paridade de uma função por alunos do 10.º ano de escolaridade e identificar dificuldades na exploração dessa representação. Na procura de responder a este objetivo, adotou-se uma abordagem qualitativa e interpretativa para compreender as ações dos alunos na resolução das tarefas propostas. A análise das resoluções mostra que a representação gráfica serviu de suporte para a instituição das definições dos tópicos em estudo. E isto apesar de alguns alunos revelarem dificuldades ao interpretar e ao construir gráficos; ao identificar imagens e imagens inversas em gráficos de funções; ao representar determinadas características gráficas associadas a alguns conceitos, como é o caso da relação entre a paridade de uma função e a simetria na sua representação gráfica (confundindo eixo de simetria e de reflexão). Globalmente, este estudo mostra como a abordagem de conceitos a partir da representação gráfica pode contribuir para a sua compreensão.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: The work with different representations promotes a deeper under-standing of topics of functions. Based on this assumption, this study aims to analyze the contribution of the graphical representation to the learning of the inverse function and of the parity of a function by 10th grade students. The study adopts a qualitative and interpretative methodology to understand the students&#8217; actions while solving the proposed tasks. The analysis of the resolutions shows that the graphic representation served as support for the development of the definitions of the topics under study. And this despite the fact that some students revealed difficulties in the interpretation and construction of graphs; in identifying images and inverse images in function&#8217;s graphs; in representing certain graphical characteristics associated with some concepts of functions, such as the relationship between the parity of a function and the symmetry on its graphical representation (mixing up the axis of symmetry and the axis of reflection). Overall, this study shows how the approach to the concepts based on a graphical representation can contribute to their understanding.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[representação gráfica]]></kwd>
<kwd lng="pt"><![CDATA[interpretação de gráficos]]></kwd>
<kwd lng="pt"><![CDATA[construção de gráficos]]></kwd>
<kwd lng="pt"><![CDATA[dificuldades gráficas]]></kwd>
<kwd lng="pt"><![CDATA[alunos]]></kwd>
<kwd lng="en"><![CDATA[graphical representation]]></kwd>
<kwd lng="en"><![CDATA[interpretation of graphs]]></kwd>
<kwd lng="en"><![CDATA[construction of graphs]]></kwd>
<kwd lng="en"><![CDATA[graphical difficulties]]></kwd>
<kwd lng="en"><![CDATA[students]]></kwd>
</kwd-group>
</article-meta>
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