<?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>S1665-24362021000300277</article-id>
<article-id pub-id-type="doi">10.12802/relime.21.2432</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Las relaciones entre entidades componentes del valor posicional y su didáctica]]></article-title>
<article-title xml:lang="en"><![CDATA[The relationships between component entities of place value and its didactic]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez de la Mora]]></surname>
<given-names><![CDATA[María Herlinda Consuelo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Xolocotzin Eligio]]></surname>
<given-names><![CDATA[Ulises]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Quintero Zazueta]]></surname>
<given-names><![CDATA[Ricardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Politécnico Nacional Centro de Investigación y de Estudios Avanzados ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<volume>24</volume>
<numero>3</numero>
<fpage>277</fpage>
<lpage>298</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-24362021000300277&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-24362021000300277&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-24362021000300277&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Se presenta una parte de una investigación referente al valor de posición y su didáctica. En tal investigación se diseñó un estudio para explorar el potencial de un enfoque de relaciones de la estructura del valor de posición. Esta se hizo mediante la aplicación de un curso, el cual posibilita que el estudiante atienda a las relaciones entre componentes de la estructura del valor posicional. La aplicación didáctica se hizo en dos grupos de 3º de primaria. En uno de ellos se usó la ubicación de las unidades de cada orden de magnitud en el espacio dispuesto en la hoja de trabajo, con campos adyacentes. Y en el otro se utilizó la representación de las unidades en el ábaco. El propósito consiste en presentar efectos del curso didáctico respecto a las relaciones que atienden los estudiantes correspondientes a cada orden de magnitud. Ello necesario para que los alumnos evoquen y comprendan dichas relaciones.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT A part of an investigation regarding the position value and its didactics is presented. A study was designed to explore the didactic potential of a relation-structure approach to positional value. The research was made by means of the application of a course. This enabled the student to attend the relations between components of positional value structure. The didactic application was made in two groups of 3rd. of elementary school. In one of them the location of the units of each order of magnitude in the space arranged in the work sheet with adjacent fields was used. In the other group the representation of the units in the abacus was used. The research purpose is to present effects of the didactic course respect. To the meaning that the students give to the relations attended to each order of magnitude. This is necessary for students to evoke and understand these relationships.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO Uma parte de uma investigação sobre o valor da posição e sua didática é apresentada. Nessa pesquisa, um estudo foi projetado para explorar o potencial de uma abordagem de relacionamento e estrutura de valor de posição. Isso foi feito através da aplicação de um curso. Que permite ao aluno atender às relações entre os componentes da estrutura do valor do local. A aplicação didática foi feita em dois grupos do terceiro grau da escola primária. Em um deles, a localização das unidades de cada ordem de magnitude foi utilizada no espaço fornecido na folha de trabalho, com campos adjacentes. E no outro, a representação das unidades no ábaco foi utilizada. O objetivo é apresentar os efeitos do respeito ao curso didático, na imortância que os alunos dão para as relações ligadas a cada ordem de magnitude. Isso é necessário para que os alunos evoquem e compreendam essas relações.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[RÉSUMÉ Une partie de l&#8217;enquête sur la valeur de position et ses didactiques est présentée. Dans cette recherche, une étude a été conçue pour explorer le potentiel d&#8217;une approche relationnelle de la structure de valeur de position. Celle s&#8217;est faite par l&#8217;application d&#8217;un cours. Ce qui permet à l&#8217;étudiant d&#8217;assister aux relations entre les composants de la structure de la valeur de position. L&#8217;application didactique a été faite dans deux groupes de CE2. Dans l&#8217;un d&#8217;eux, l&#8217;emplacement des unités de chaque ordre de grandeur était utilisé dans l&#8217;espace prévu à cet effet dans la feuille de travail, avec les champs adjacents. Et dans l&#8217;autre, la représentation des unités dans l&#8217;abaque était utilisée. Le but est de présenter les effets du cours didactique en ce qui concerne les relations auxquelles les étudiants dont face en fonction de chaque ordre de grandeur. Cela est nécessaire pour que les étudiants évoquent et comprennent ces relations.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Relaciones]]></kwd>
<kwd lng="es"><![CDATA[Estructura]]></kwd>
<kwd lng="es"><![CDATA[Valor de posición]]></kwd>
<kwd lng="es"><![CDATA[Polinomio]]></kwd>
<kwd lng="en"><![CDATA[Relation]]></kwd>
<kwd lng="en"><![CDATA[Structure]]></kwd>
<kwd lng="en"><![CDATA[Positional value]]></kwd>
<kwd lng="en"><![CDATA[Polynomial]]></kwd>
<kwd lng="pt"><![CDATA[Relações]]></kwd>
<kwd lng="pt"><![CDATA[Estrutura]]></kwd>
<kwd lng="pt"><![CDATA[Valor de posição]]></kwd>
<kwd lng="pt"><![CDATA[Polinômio]]></kwd>
<kwd lng="fr"><![CDATA[Relations]]></kwd>
<kwd lng="fr"><![CDATA[Structure]]></kwd>
<kwd lng="fr"><![CDATA[Valeur de position]]></kwd>
<kwd lng="fr"><![CDATA[Polynôme]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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