<?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>S2448-80892023000100169</article-id>
<article-id pub-id-type="doi">10.24844/em3501.07</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Elaboración de una Guía de Situaciones-Problemas sobre Variable Aleatoria y sus Aplicaciones a partir del Currículo Escolar Chileno]]></article-title>
<article-title xml:lang="en"><![CDATA[Construction of a Guide of Problems-Situations about Random Variable and their Applications according to the Chilean School Curriculum]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bizet Leyton]]></surname>
<given-names><![CDATA[Valeria]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Molina-Portillo]]></surname>
<given-names><![CDATA[Elena]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ruz]]></surname>
<given-names><![CDATA[Felipe]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Contreras García]]></surname>
<given-names><![CDATA[José Miguel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Granada Facultad de Ciencias de la Educación Departamento de Didáctica de la Matemática]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Granada Facultad de Ciencias de la Educación Departamento de Didáctica de la Matemática]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso Instituto de Estadística ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de Granada Facultad de Ciencias de la Educación Departamento de Didáctica de la Matemática]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</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>1</numero>
<fpage>169</fpage>
<lpage>196</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892023000100169&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892023000100169&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892023000100169&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Esta investigación tiene por objetivo proponer una guía que integre las situaciones-problemas relativas a la comprensión de variable aleatoria y sus aplicaciones en distribuciones de probabilidad promovidos por el currículo escolar chileno, fundamentada en las ideas de Transposición Didáctica y objetos matemáticos primarios del EOS (Enfoque Ontosemiótico del Conocimiento y la Instrucción Matemáticos). Primero, por medio del análisis de contenido a lineamientos curriculares chilenos e internacionales, fue creada la Guía de Situaciones-Problemas sobre Variable Aleatoria y sus Aplicaciones en Distribuciones de Probabilidad según el Currículo Escolar Chileno (GSP-VADP). Posteriormente, a partir de la literatura ha sido seleccionado un conjunto inicial de ítems representantes de las situaciones-problemas que componen la guía, y luego através de un juicio de expertos fue identificado el conjunto final. Los resultados muestran que la GSP-VADP está constituida por 34 situaciones-problemas, de aquellas emergen los restantes objetos matemáticos primarios. Esta herramienta es viable utilizarla para identificar ítems representantes de sus situaciones-problemas por medio de juicio de expertos, debido a que el conjunto final de ítems obtuvo un coeficiente de validez y concordancia bueno (0,86).]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This research has the aim of proposing a guide that integrate the problems-situations regarding the understanding of random variable and their applications in probability distributions promoted by the Chilean School Curriculum, based on the ideas of Didactic Transposition and OSA&#8217;s primary mathematical objects (Ontosemiotic Approach to Mathematical Cognition and Instruction). First, through the content analysis to Chilean and international curricular documents, the Guide of Problems-Situations about Random Variable and their Applications in Probability Distributions according to the School Chilean Curriculum (GPS-RVPD) was created. Subsequently, from the literature has been selected an initial item group that is a representation of the problems-situations that compose the guide, and then through an expert judgment the final group was identified. The results show that the GPS-RVPD is constituted by 34 problems-situations, from which emerge the rest primary mathematical objects. This tool is feasible to use for identifying items representing their problems-situations, through expert judgment, this is because the final item group obtained a good validity and concordance coefficient (0,86).]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Variable Aleatoria]]></kwd>
<kwd lng="es"><![CDATA[Distribuciones de Probabilidad]]></kwd>
<kwd lng="es"><![CDATA[Situaciones-Problemas]]></kwd>
<kwd lng="es"><![CDATA[Transposición Didáctica]]></kwd>
<kwd lng="es"><![CDATA[Currículo Escolar]]></kwd>
<kwd lng="en"><![CDATA[Random Variable]]></kwd>
<kwd lng="en"><![CDATA[Probability Distribution]]></kwd>
<kwd lng="en"><![CDATA[Problems-Situations]]></kwd>
<kwd lng="en"><![CDATA[Didactic Transposition]]></kwd>
<kwd lng="en"><![CDATA[School Curriculum]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alvarado]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Batanero]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dificultades de Comprensión de la Aproximación Normal a la Distribución Binomial]]></article-title>
<source><![CDATA[Números, revista de didáctica de las matemáticas]]></source>
<year>2007</year>
<volume>67</volume>
<page-range>1-7</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alvarado]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Retamal]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Representaciones de la distribución de probabilidad binomial]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Andrade]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Memorias del I Encuentro Colombiano de Educación Estocástica]]></source>
<year>2014</year>
<page-range>98-109</page-range><publisher-name><![CDATA[Asociación Colombiana de Educación Estocástica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Amrani]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Zaki]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Student&#8217;s conceptual difficulties with respect to the notion of random variable]]></article-title>
<source><![CDATA[International Journal of Education, Learning and Development]]></source>
<year>2015</year>
<volume>3</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>82-98</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barraza]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[La consulta a expertos como estrategia para la recolección de evidencias de validez basado en el contenido]]></article-title>
<source><![CDATA[Investigación Educativa Duranguense]]></source>
<year>2007</year>
<volume>2</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>5-14</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Batanero]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Ideas estocásticas fundamentales ¿qué contenido se debe enseñar en la clase de probabilidades?]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Sousa]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ribeiro]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Actas do I Encontro de Probabilidades e Estatística na Escola]]></source>
<year>2004</year>
<page-range>9-30</page-range><publisher-name><![CDATA[Centro de Investigação em Educação da Universidade do Minho]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bizet]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Ramos]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Valoración de una situación didáctica para la enseñanza de variable aleatoria y distribución de probabilidad en la educación secundaria chilena.]]></article-title>
<source><![CDATA[Innovaciones Educativas]]></source>
<year>2022</year>
<volume>24</volume>
<numero>36</numero>
<issue>36</issue>
<page-range>21-36</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chacón]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Rupín]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Setz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Villena]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Texto del estudiante de matemática 2° medio]]></source>
<year>2018</year>
<publisher-name><![CDATA[Ediciones SM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chevallard]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The didactics of mathematics: its problematic and related research]]></article-title>
<source><![CDATA[Recherches en Didactiques des Mathématiques]]></source>
<year>1980</year>
<volume>1</volume>
<page-range>146-57</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chevallard]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<source><![CDATA[La transposición didáctica: del saber sabio al saber enseñado]]></source>
<year>1991</year>
<publisher-name><![CDATA[Aique]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Colomé]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[¿Cuál es la probabilidad real del empate de la CUP?]]></article-title>
<source><![CDATA[La Vanguardia]]></source>
<year>2015</year>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dinges]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variables, in particular random variables]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Hoffmann]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Lenhard]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Seeger]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[Activity and sign grounding mathematics education]]></source>
<year>2005</year>
<page-range>305-11</page-range><publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Doukhan]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Gueudet]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Students&#8217; difficulties at the secondary-tertiary transition: the case of random variables]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Jankvist]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Van Den Heuvel-Panhuizen]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Veldhuis]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education]]></source>
<year>2019</year>
<page-range>2464-71</page-range><publisher-name><![CDATA[Freudenthal Group]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrade]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Sarmiento]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Rehaciendo el camino hacia la comprensión de la variable aleatoria]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Perry]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Samper]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Molina]]></surname>
<given-names><![CDATA[Ó.]]></given-names>
</name>
<name>
<surname><![CDATA[Camargo]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Echeverry]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Sarmiento]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Aportes investigativos para el diseño curricular en geometría y estadística]]></source>
<year>2013</year>
<page-range>93-169</page-range><publisher-name><![CDATA[Universidad Pedagógica Nacional]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Flores]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Sánchez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Avances en la calidad de las respuestas a preguntas de probabilidad después de una actividad de aprendizaje con tecnología]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Codes]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Arnau]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Ortega]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigación en Educación Matemática XVIII]]></source>
<year>2014</year>
<page-range>307-16</page-range><publisher-name><![CDATA[SEIEM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Font]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Gallardo]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The emergence of objects from mathematical practices]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2013</year>
<volume>82</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>97-124</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Franklin]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Kader]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Newborn]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Moreno]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Peck]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Perry]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Scheaffer]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Guidelines for assessment and instruction in statistics education (GAISE) report: A pre-k-12 curriculum framework]]></source>
<year>2005</year>
<publisher-name><![CDATA[American Statistical Association]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gal]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Adult&#8217;s statistical literacy: meanings, components, responsibilities]]></article-title>
<source><![CDATA[International Statistical Review]]></source>
<year>2002</year>
<volume>70</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>1-25</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[García-García]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Arredondo]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Imilpán]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Binomial Distribution: Historical Origin and Evolution of Its Problem Situations]]></article-title>
<source><![CDATA[Mathematics]]></source>
<year>2022</year>
<volume>10</volume>
<page-range>1-28</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Implicaciones metodológicas de un enfoque semiótico- antropológico para la investigación en didáctica de las matemáticas]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Ortega]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigación en Educación Matemática III]]></source>
<year>1999</year>
<page-range>196-212</page-range><publisher-name><![CDATA[SEIEM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Un enfoque ontológico y semiótico de la cognición matemática]]></article-title>
<source><![CDATA[Recherches en Didactique des Mathématiques]]></source>
<year>2002</year>
<volume>22</volume>
<numero>2.3</numero>
<issue>2.3</issue>
<page-range>237-84</page-range></nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Batanero]]></surname>
<given-names><![CDATA[C]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Significado institucional y personal de los objetos matemáticos]]></article-title>
<source><![CDATA[Recherches en Didactique des Mathématiques]]></source>
<year>1994</year>
<volume>14</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>325-55</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Godino]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Batanero]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Font]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The onto-semiotic approach to research in mathematics education]]></article-title>
<source><![CDATA[ZDM. The International Journal on Mathematics Education]]></source>
<year>2007</year>
<volume>39</volume>
<numero>1-2</numero>
<issue>1-2</issue>
<page-range>127-35</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ojeda]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Comprensión de la distribución normal en bachillerato]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Serna]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2017</year>
<volume>30</volume>
<page-range>207-2017</page-range><publisher-name><![CDATA[CLAME]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guerrero]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Batanero]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Contreras]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Conocimientos sobre esperanza matemática en alumnos de bachillerato]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[España]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[Actas del XVI congreso de enseñanza y aprendizaje de las matemáticas]]></source>
<year>2016</year>
<page-range>26-35</page-range><publisher-name><![CDATA[Sociedad Andaluza de Educación Matemática THALES]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Heitele]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An epistemological view of fundamental stochastic ideas]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>1975</year>
<volume>6</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>187-205</page-range></nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hernández-Nieto]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Contributions to Statistical Analysis]]></source>
<year>2002</year>
<publisher-name><![CDATA[Universidad de los Andes]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hernández]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Baptista]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Metodología de la investigación]]></source>
<year>2014</year>
<edition>6a</edition>
<publisher-name><![CDATA[Editorial McGraw Hill Education]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hoyos]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Un modelo para la investigación documental. Guía teórico-práctica sobre construcción de Estados del Arte con importantes reflexiones sobre la investigación]]></source>
<year>2010</year>
<publisher-name><![CDATA[Señal Editora]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Krippendorff]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Metodología de análisis de contenido: teoría y práctica]]></source>
<year>1990</year>
<publisher-name><![CDATA[Paidós]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="book">
<collab>Ministerio de Educación de Chile</collab>
<source><![CDATA[Currículum: Objetivos fundamentales y contenidos mínimos obligatorios de la educación básica y media]]></source>
<year>2009</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="book">
<collab>Ministerio de Educación de Chile</collab>
<source><![CDATA[Bases Curriculares 7° básico a 2° medio. Gobierno de Chile]]></source>
<year>2015</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="book">
<collab>Ministerio de Educación de Chile</collab>
<source><![CDATA[Matemática, programa de estudio segundo medio]]></source>
<year>2016</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="book">
<source><![CDATA[Chile. Bases Curriculares 3º y 4º medio]]></source>
<year>2019</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="book">
<collab>Ministerio de Educación de Chile</collab>
<source><![CDATA[Programa de estudio matemática 3° medio para formación general]]></source>
<year>2019</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="book">
<collab>Ministerio de Educación de Chile</collab>
<source><![CDATA[Programa de estudio matemática 4° medio para formación general]]></source>
<year>2019</year>
<publisher-name><![CDATA[Unidad de Currículum y Evaluación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Morales]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Vega]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Aguilar]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gúmera]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Marchant]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Texto manual matemática 3º y 4º medio - proyecto explor@ndo]]></source>
<year>2008</year>
<publisher-name><![CDATA[Ediciones SM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Morales]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Vega]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Aguilar]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gúmera]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Marchant]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Libro de actividades 3° y 4° medio- proyecto explor@ndo]]></source>
<year>2008</year>
<publisher-name><![CDATA[Ediciones SM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Muñoz]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Gutiérrez]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Muñoz]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Texto matemática cuarto año medio]]></source>
<year>2013</year>
<publisher-name><![CDATA[Santillana]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="book">
<collab>National Council of Teachers of Mathematics</collab>
<source><![CDATA[Principles and standards for school mathematics]]></source>
<year>2000</year>
<publisher-name><![CDATA[NCTM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="book">
<collab>National Governors Association Center for Best Practices and Council of Chief State School Officers</collab>
<source><![CDATA[Common Core State Standars forMathematics]]></source>
<year>2010</year>
<publisher-name><![CDATA[NGACBP and CCSSO]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B41">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Norambuena]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Osorio]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Romante]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Díaz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cuaderno de actividades de matemática 3° y 4° medio]]></source>
<year>2019</year>
<publisher-name><![CDATA[Ediciones SM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B42">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ortiz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[La probabilidad en los libros de texto]]></source>
<year>2002</year>
<publisher-name><![CDATA[Grupo de Investigación en Educación Estadística de la Universidad de Granada]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B43">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Osorio]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Norambuena]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Romante]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gaete]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Díaz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Celedón]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Morales]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Ortiz]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Ramírez]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Barrera]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Hurtado]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<source><![CDATA[Texto del estudiante de matemática 3° y 4° medio]]></source>
<year>2019</year>
<publisher-name><![CDATA[Ediciones SM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B44">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ramírez]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[Siempre el 16% obtiene más de 600 puntos en la PSU: Demre explica cómo funciona la prueba]]></source>
<year>2018</year>
<publisher-name><![CDATA[Emol]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B45">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rivas]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Idoneidad didáctica de procesos de formación estadística de profesores de educación primaria]]></source>
<year>2014</year>
<publisher-name><![CDATA[Universidad de Granada]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B46">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruiz]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Un acercamiento cognitivo y epistemológico a la didáctica del concepto de variable aleatoria]]></source>
<year>2006</year>
<publisher-name><![CDATA[Instituto Politécnico Nacional]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B47">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruiz]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Análisis epistemológico de la variable aleatoria y comprensión de objetos matemáticos relacionados por estudiantes universitarios]]></source>
<year>2013</year>
<publisher-name><![CDATA[Universidad de Granada]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B48">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salazar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[La variable aleatoria con probabilidad desde la perspectiva de la teoría APOE]]></source>
<year>2014</year>
<publisher-name><![CDATA[Pontificia Universidad Católica de Valparaíso]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B49">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salinas]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Valdez]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Salinas-Hernández]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Un acercamiento a la metodología lesson study para la enseñanza de la distribución normal]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Rodríguez-Muñiz]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Muñiz-Rodríguez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Aguilar-González]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Alonso]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Bruno]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigación en Educación Matemática XXII]]></source>
<year>2018</year>
<page-range>525-34</page-range><publisher-name><![CDATA[SEIEM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B50">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sánchez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Carrasco]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[El razonamiento probabilístico de estudiantes de bachillerato en actividades de distribución binomial]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Rodríguez-Múniz]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Múñiz-Rodríguez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Aguilar-González]]></surname>
<given-names><![CDATA[Á.]]></given-names>
</name>
<name>
<surname><![CDATA[Alonso]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Bruno]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigación en Educación Matemática XXII]]></source>
<year>2018</year>
<page-range>535-43</page-range><publisher-name><![CDATA[SEIEM]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B51">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sánchez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Landín]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Levels of probabilistic reasoning of high school students about binomial problems]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Chernoff]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Sriraman]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Probabilistic thinking presenting plural perspectives]]></source>
<year>2014</year>
<page-range>581-97</page-range><publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B52">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stahl]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Evolution of the Normal Distribution]]></article-title>
<source><![CDATA[Mathematics Magazine]]></source>
<year>2006</year>
<volume>79</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>96-113</page-range></nlm-citation>
</ref>
<ref id="B53">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tauber]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[La construcción del significado de la distribución normal a partir de actividades de análisis de datos]]></source>
<year>2001</year>
<publisher-name><![CDATA[Universidad de Sevilla]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B54">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Valverde]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Un estudio de la presentación de la distribución normal en los textos de bachillerato]]></source>
<year>2017</year>
<publisher-name><![CDATA[Universidad de Granada]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B55">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vilca]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Tipificación de los errores que se presentan al identificar una variable aleatoria de distribución binomial en problemas contextualizados]]></source>
<year>2015</year>
<publisher-name><![CDATA[Pontificia Universidad Católica del Perú]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
