<?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>1665-2436</journal-id>
<journal-title><![CDATA[Revista latinoamericana de investigación en matemática educativa]]></journal-title>
<abbrev-journal-title><![CDATA[Relime]]></abbrev-journal-title>
<issn>1665-2436</issn>
<publisher>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A.C.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-24362015000300301</article-id>
<article-id pub-id-type="doi">10.12802/relime.13.1831</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Control visual en la construcción del área de superficies planas en los textos escolares. Una metodología de análisis]]></article-title>
<article-title xml:lang="en"><![CDATA[Visual control in the construction of the area of two-dimensional plane figures, in textbooks. An analysis methodology]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Marmolejo]]></surname>
<given-names><![CDATA[Gustavo-Adolfo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González Astudillo]]></surname>
<given-names><![CDATA[María Teresa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Nariño  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Salamanca  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>11</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>11</month>
<year>2015</year>
</pub-date>
<volume>18</volume>
<numero>3</numero>
<fpage>301</fpage>
<lpage>328</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-24362015000300301&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-24362015000300301&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-24362015000300301&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Para construir el concepto de área de superficies planas, los libros de texto proponen tareas en las que se proporciona información sobre cómo ver las figuras. Deben caracterizarse los elementos y estrategias empleadas por los libros para privilegiar ciertos tipos de visualización sobre otros, y deben ser analizados los tipos de control visual imperantes. El modelo de análisis aquí presentado incluye una adaptación de los referentes teóricos expuestos por Duval (1995, 2003, 2005), sobre la visualización asociada a las figuras geométricas, y la noción de estructura de control de Balacheff y Gaudin (2010), sobre la existencia de ciertos elementos que guían las maneras de proceder de los estudiantes al enfrentarse con actividades matemáticas.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: To construct the concept of plane surfaces area, textbooks propose activities in which some information about how to see the figures is provided. The elements and strategies showed by the books, that favor some types of visualization above others, must be characterized and the types of visual control commanding must be analyzed. The model of analysis presented here includes an adaptation of the theoretical model exposed by Duval (1995, 2003, 2005), about the visualization associated with geometrical figures, and the notion of control structure from Balacheff and Gaudin (2010), about the existence of some elements that guide the ways students use to proceed when they are confronted with mathematical activities.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: Para construir o conceito de área de superfícies planas, os livros didáticos propõem tarefas nas quais é dada a informação sobre como ver as figuras. Devem ser caracterizados os elementos e estratégias empregadas pelos livros para privilegiar uns tipos de visualização sobre outros e devem ser analisados os tipos de controle visual imperantes. O modelo de análise aqui apresentado inclui uma adaptação dos referentes teóricos expostos por Duval, (1995, 2003, 2005), sobre a visualização associada às figuras geométricas, e à noção de estrutura de controle de Balacheff e Gaudin, (2010) sobre a existência de certos elementos que guiam as maneiras de proceder dos estudantes quando se deparam com atividades matemáticas.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[Résumé: Pour construire le concept d'aire de surfaces planes, les manuels scolaires proposent des activités qui fournissent des informations sur comment afficher des figures planes. Les éléments et les stratégies employées par les livres à favoriser certains types de visualisation-dessus des autres doivent être qualifiés et les types de contrôle visuel commandant doivent être analysés. Le modèle d'analyse présenté ici comprend une adaptation du cadre théorique présenté par Duval (1995, 2003, 2005) à l'écran associé à des figures géométriques et la notion de structure de contrôle de Balacheff et Gaudin (2010) sur l'existence de certains éléments qui guident les moyens de procéder de les étudiants quand ils sont confrontés à des activités mathématiques.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Visualización]]></kwd>
<kwd lng="es"><![CDATA[Estructura de control visual]]></kwd>
<kwd lng="es"><![CDATA[Textos escolares]]></kwd>
<kwd lng="es"><![CDATA[Áreas de superficies planas]]></kwd>
<kwd lng="en"><![CDATA[Visualization]]></kwd>
<kwd lng="en"><![CDATA[Visual control structure]]></kwd>
<kwd lng="en"><![CDATA[Textbooks]]></kwd>
<kwd lng="en"><![CDATA[Plane surfaces area]]></kwd>
<kwd lng="pt"><![CDATA[Visualização]]></kwd>
<kwd lng="pt"><![CDATA[Estrutura de controle visual]]></kwd>
<kwd lng="pt"><![CDATA[Textos escolares]]></kwd>
<kwd lng="pt"><![CDATA[Áreas de superfícies planas]]></kwd>
<kwd lng="fr"><![CDATA[La visualisation]]></kwd>
<kwd lng="fr"><![CDATA[Le contrôle visuel]]></kwd>
<kwd lng="fr"><![CDATA[Manuels structure]]></kwd>
<kwd lng="fr"><![CDATA[L'aire de surfaces planes]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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