<?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>S2448-80892021000200147</article-id>
<article-id pub-id-type="doi">10.24844/em3302.06</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un enfoque cognitivo en la comprensión de la comparación entre los cardinales del conjunto de los números naturales y el conjunto de los números enteros en estudiantes de secundaria]]></article-title>
<article-title xml:lang="en"><![CDATA[A cognitive approach for understanding the comparison between the cardinals of the set of natural numbers and the set of integers in secondary student]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lasnibat Godoy]]></surname>
<given-names><![CDATA[Tamara]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Flores Sepúlveda]]></surname>
<given-names><![CDATA[Mónica]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Puraivan]]></surname>
<given-names><![CDATA[Eduardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso Instituto de Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso Instituto de Matemáticas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de Viña del Mar  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</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>33</volume>
<numero>2</numero>
<fpage>147</fpage>
<lpage>172</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892021000200147&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892021000200147&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892021000200147&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Esta investigación estudia las estructuras y mecanismos mentales de 164 estudiantes chilenos de tercero y cuarto medio (17 y 18 años), cuando comparan el cardinal del conjunto de los números naturales (&#8469;) y el cardinal de los números enteros (&#8484;). A partir de una descomposición genética provisoria del infinito en el marco de la teoría APOE, la investigación muestra que los estudiantes establecen solo una función inyectiva de &#8469; a &#8484; para coordinar los procesos iterativos infinitos y, además, se señala que en general los estudiantes no alcanzan a presentar la estructura de un único proceso iterativo infinito que les permita concluir que tienen el mismo cardinal.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This research studies the mental structures and mechanisms of 164 Chilean students of third and fourth half (17 and 18 years old), when comparing the cardinal of the set of natural numbers (&#8469;) and the cardinal of integers (&#8484;). It is based on a provisional genetic decomposition of infinity within the framework of APOS theory, and shows that students establish only an injective function from &#8469; to &#8484; to coordinate the infinite iterative processes and, furthermore, they do not manage to present the structure of a single infinite iterative process that would allow them to conclude that they have the same cardinal number.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Infinito]]></kwd>
<kwd lng="es"><![CDATA[cardinalidad]]></kwd>
<kwd lng="es"><![CDATA[números naturales]]></kwd>
<kwd lng="es"><![CDATA[números enteros]]></kwd>
<kwd lng="es"><![CDATA[Teoría APOE]]></kwd>
<kwd lng="en"><![CDATA[Infinity]]></kwd>
<kwd lng="en"><![CDATA[cardinality]]></kwd>
<kwd lng="en"><![CDATA[natural numbers]]></kwd>
<kwd lng="en"><![CDATA[integers]]></kwd>
<kwd lng="en"><![CDATA[APOS theory]]></kwd>
</kwd-group>
</article-meta>
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