<?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>S2448-80892023000300049</article-id>
<article-id pub-id-type="doi">10.24844/em3503.02</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Indicadores de niveles de razonamiento algebraico elemental en educación primaria en la resolución de tareas de proporcionalidad con tablas de valores]]></article-title>
<article-title xml:lang="en"><![CDATA[Indicators of elementary algebraic reasoning levels in middle education in the resolution of proportionality tasks using tables of values]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gaita]]></surname>
<given-names><![CDATA[Cecilia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Wilhelmi]]></surname>
<given-names><![CDATA[Miguel R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ugarte]]></surname>
<given-names><![CDATA[Francisco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gonzales]]></surname>
<given-names><![CDATA[Cintya]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Pontificia Universidad Católica del Perú Instituto de Investigación sobre Enseñanza de las Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Peru</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Pública de Navarra  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Pontificia Universidad Católica del Perú Instituto de Investigación sobre Enseñanza de las Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Peru</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Pontificia Universidad Católica del Perú Instituto de Investigación sobre Enseñanza de las Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Peru</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<volume>35</volume>
<numero>3</numero>
<fpage>49</fpage>
<lpage>81</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892023000300049&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892023000300049&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892023000300049&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: En Educación Primaria, la proporcionalidad se modeliza algunas veces mediante tablas de valores. El uso de estas tablas queda condicionado por los objetos matemáticos involucrados. En este trabajo, se determinan indicadores sobre el uso operativo y discursivo de estos objetos según el nivel de algebrización. Estos indicadores sirven para valorar el nivel mostrado por estudiantes de 11-12 años, quienes resuelven tareas de proporcionalidad modelizadas mediante tablas. Las respuestas dadas se codifican mediante variables operatorias. Estas variables son analizadas de forma aislada mediante estadística descriptiva elemental y de forma relacional mediante análisis de similaridad y análisis estadístico implicativo. A partir de los datos experimentales, se constata que para alcanzar el nivel de algebrización previsto en esa etapa escolar, es más eficaz una enseñanza con una componente constructivista esencial que una intervención más objetivista por parte del docente. Finalmente, el trabajo permite extraer orientaciones para posibles intervenciones didácticas basadas en los indicadores del nivel de algebrización identificados.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: In Middle Education, proportionality is often modeled using tables of values. The use of these tables is conditioned by the mathematical objects involved. In this research study, indicators on the operational and discursive use of these objects are determined according to the algebraization levels. These indicators are used to assess the level shown by students, 11-12 years old, who solve proportionality tasks modeled using tables. The responses given are coded through operating variables. These variables are analyzed in an isolated way using elementary descriptive statistics and in a relational way through similarity analysis as well as implicative statistical analysis. Based on the results of this research, we can conclude that in order to reach the level of algebraization expected at this grade level, it will be essential to implement a teaching method based on an essential constructivist approach rather than an objectivist approach. Furthermore, results also suggest possible didactic interventions based on the indicators of the level of algebraization previously identified.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[razonamiento algebraico elemental]]></kwd>
<kwd lng="es"><![CDATA[proporcionalidad]]></kwd>
<kwd lng="es"><![CDATA[tablas de valores]]></kwd>
<kwd lng="es"><![CDATA[Educación Primaria]]></kwd>
<kwd lng="es"><![CDATA[análisis estadístico implicativo]]></kwd>
<kwd lng="en"><![CDATA[elementary algebraic reasoning]]></kwd>
<kwd lng="en"><![CDATA[proportionality]]></kwd>
<kwd lng="en"><![CDATA[tables of values]]></kwd>
<kwd lng="en"><![CDATA[Middle Education]]></kwd>
<kwd lng="en"><![CDATA[statistical implicative analysis]]></kwd>
</kwd-group>
</article-meta>
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