<?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>S2448-80892019000300117</article-id>
<article-id pub-id-type="doi">10.24844/em3103.05</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Emergencia de razonamiento proto-algebraico en tareas de proporcionalidad en estudiantes de primaria]]></article-title>
<article-title xml:lang="en"><![CDATA[Emergency of proto-algebraic reasoning in proportionality tasks of primary school students]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Burgos]]></surname>
<given-names><![CDATA[María]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[Juan D.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Granada  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Granada  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2019</year>
</pub-date>
<volume>31</volume>
<numero>3</numero>
<fpage>117</fpage>
<lpage>150</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892019000300117&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892019000300117&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892019000300117&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: El razonamiento proporcional se considera frecuentemente como ruta de acceso al razonamiento algebraico temprano. En este trabajo mostramos el análisis de las respuestas de un grupo de estudiantes de quinto curso de primaria, que se enfrentan por primera vez a tareas de proporcionalidad, analizando con detalle los procedimientos desarrollados, representaciones, argumentos y evidencias obtenidas sobre la capacidad de generalización. Se incluyen también las tareas usadas como un primer encuentro con la proporcionalidad siguiendo un modelo didáctico mixto de tipo instructivo-investigativo. Como resultado de este estudio reconocemos rasgos de razonamiento proto-algebraico en la actividad desarrollada por los alumnos en tareas de este tipo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: Proportional reasoning is often considered as an access route to early algebraic reasoning. In this paper, we show the analysis of the answers of a group of fifth grade students, who are faced for the first time with proportionality tasks, analyzing in detail the developed procedures, representations, arguments and evidences obtained about their generalization capacity. We also include the tasks used as a first encounter with proportionality applying a mixed instructional and investigative model. As a result of this study we recognize features of proto-algebraic reasoning in the activity developed by students in tasks of this type.]]></p></abstract>
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<kwd lng="es"><![CDATA[razonamiento proporcional]]></kwd>
<kwd lng="es"><![CDATA[niveles de algebrización]]></kwd>
<kwd lng="es"><![CDATA[diseño instruccional]]></kwd>
<kwd lng="en"><![CDATA[Algebraic thinking]]></kwd>
<kwd lng="en"><![CDATA[proportional reasoning]]></kwd>
<kwd lng="en"><![CDATA[algebraization level]]></kwd>
<kwd lng="en"><![CDATA[instructional design]]></kwd>
</kwd-group>
</article-meta>
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