<?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>S1665-24362021000300245</article-id>
<article-id pub-id-type="doi">10.12802/relime.21.2431</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Una descomposición genética preliminar del concepto de eigenvalor y eigenvector: el análisis de libros de texto como sustrato en la construcción de modelos cognitivos]]></article-title>
<article-title xml:lang="en"><![CDATA[A preliminary genetic decomposition of the concept of eigenvalue and eigenvector: the analysis of textbooks as a substrate in the construction of cognitive models]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Betancur Sánchez]]></surname>
<given-names><![CDATA[Alexander]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Roa Fuentes]]></surname>
<given-names><![CDATA[Solange]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ballesteros]]></surname>
<given-names><![CDATA[Silvia Juliana]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Industrial de Santander  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Colombia</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>245</fpage>
<lpage>276</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-24362021000300245&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-24362021000300245&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-24362021000300245&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN En la teoría APOE (Acción, Proceso, Objeto, Esquema) el diseño de una descomposición genética es resultado del Análisis Teórico (primer componente del ciclo de investigación de la teoría) donde el análisis de libros de texto es uno de los elementos a considerar. Sin embargo, a la fecha de este reporte no se encuentran publicaciones que den cuenta de cómo realizar el análisis de libros de texto y el proceso detrás de la construcción de una descomposición genética. En este escrito se usan los criterios propuestos por Campos (2017) para analizar tres libros de texto de álgebra lineal, específicamente en relación al concepto de eigenvalor y eigenvector junto con una metodología que da cuenta del diseño de una descomposición genética preliminar para el concepto de eigenvalor y eigenvector sobre operadores lineales considerando: el insumo del análisis de libros de texto, los reportes de investigación existentes y la experiencia de los investigadores como profesores y estudiantes.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT In APOS theory (Action, Process, Object, Scheme), the design of a genetic decomposition is the result of Theoretical Analysis (first component of the theory&#8217;s research cycle) where textbook analysis is one of the elements to be considered. However, as of the date of this report, there are no publications on how to perform textbook analysis and the process behind the construction of a genetic decomposition. In this writing, the criteria proposed by Campos (2017) are used to analyze three linear algebra textbooks, specifically in relation to the concept of eigenvalue and eigenvector along with a methodology that accounts for the design of a preliminary genetic decomposition for the concept of eigenvalue and eigenvector on linear operators considering: the input of textbook analysis, existing research reports and the experience of researchers as teachers and students.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO Na teoria APOE (Action, Process, Object, Scheme), a concepção de uma decomposição genética é resultado da Análise Teórica (o primeiro componente do ciclo de investigação da teoria) onde a análise de livros de texto é um dos elementos a ser considerado. No entanto, à data deste relatório, não existem publicações que dêem conta de como realizar a análise dos livros escolares e do processo por detrás da construção de uma decomposição genética. Neste artigo utilizamos os critérios propostos por Campos (2017) para analisar três manuais de álgebra linear, especificamente em relação ao conceito de autovalor e autovector, juntamente com uma metodologia que dá conta da concepção de uma decomposição genética preliminar para o conceito de autovalor e autovector em operadores lineares considerando: o contributo da análise de manuais escolares, relatórios de investigação existentes e a experiência de investigadores como professores e estudantes.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[RÉSUMÉ Dans la théorie APOS (Action, Process, Object, Scheme), la conception d&#8217;une décomposition génétique est le résultat d&#8217;une analyse théorique (première composante du cycle de recherche de la théorie) où l&#8217;analyse des manuels est l&#8217;un des éléments à prendre en compte. Cependant, à la date de ce rapport, il n&#8217;existe aucune publication qui rende compte de la manière de réaliser l&#8217;analyse des manuels scolaires et du processus de construction d&#8217;une décomposition génétique. Dans cet article, nous utilisons les critères proposés par Campos (2017) pour analyser trois manuels d&#8217;algèbre linéaire, spécifiquement en relation avec le concept de valeur propre et de vecteur propre ainsi qu&#8217;une méthodologie qui rend compte de la conception d&#8217;une décomposition génétique préliminaire pour le concept de valeur propre et de vecteur propre sur les opérateurs linéaires en considérant : l&#8217;apport de l&#8217;analyse des manuels, les rapports de recherche existants et l&#8217;expérience des chercheurs en tant qu&#8217;enseignants et étudiants.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Eigenvalores y Eigenvectores]]></kwd>
<kwd lng="es"><![CDATA[Teoría APOE]]></kwd>
<kwd lng="es"><![CDATA[Descomposición genética]]></kwd>
<kwd lng="es"><![CDATA[Libros de texto]]></kwd>
<kwd lng="en"><![CDATA[Eigenvalues and Eigenvectors]]></kwd>
<kwd lng="en"><![CDATA[APOS Theory]]></kwd>
<kwd lng="en"><![CDATA[Genetic decomposition]]></kwd>
<kwd lng="en"><![CDATA[Textbook]]></kwd>
<kwd lng="pt"><![CDATA[e Autovetores]]></kwd>
<kwd lng="pt"><![CDATA[Teoria da APOE]]></kwd>
<kwd lng="pt"><![CDATA[Decomposição genética]]></kwd>
<kwd lng="pt"><![CDATA[Livros didáticos]]></kwd>
<kwd lng="fr"><![CDATA[Valeurs propres et de Vecteurs propres]]></kwd>
<kwd lng="fr"><![CDATA[Théorie APOS]]></kwd>
<kwd lng="fr"><![CDATA[Décomposition génétique]]></kwd>
<kwd lng="fr"><![CDATA[Manuels scolaires]]></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[Amaro]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernández]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Slisko]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[La proporcionalidad en libros texto mexicanos de educación básica. Aspectos conceptuales]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2019</year>
<volume>32</volume>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arnon]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Cottril]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Dubinsky]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Oktaç]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Roa-Fuentes]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Weller]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[APOS Theory. A framework for research and curriculum development in mathematics education]]></source>
<year>2014</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Beltrán-Meneu]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Murillo-Arcila]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Albarracin]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Emphasizing visualization and physical applications in the study of eigenvectors and eigenvalues]]></article-title>
<source><![CDATA[Teaching Mathematics and its applications]]></source>
<year>2017</year>
<volume>36</volume>
<page-range>123-35</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Beltrán-Meneu]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Murillo-Arcila]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Jordán]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A teaching proposal for the study of eigenvectors and eigenvalues]]></article-title>
<source><![CDATA[Journal of Technology and Science Education]]></source>
<year>2017</year>
<volume>7</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>100-13</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bouhjar]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrews-Larson]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Haider]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Examining Students&#8217; Procedural and Conceptual Understanding of Eigenvectors and Eigenvalues in the Context of Inquiry-Oriented Instruction]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrews-Larson]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Berman]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Challenges and Strategies in Teaching Linear Algebra]]></source>
<year>2018</year>
<page-range>193-216</page-range><publisher-loc><![CDATA[Cham ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Caglayan]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Making sense of eigenvalue-eigenvector relationships: Math majors&#8217; linear algebra - Geometry connections in a dynamic environment]]></article-title>
<source><![CDATA[The Journal of Mathematical Behavior]]></source>
<year>2015</year>
<volume>40</volume>
<page-range>131-53</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Camacho.]]></surname>
<given-names><![CDATA[G]]></given-names>
</name>
<name>
<surname><![CDATA[Oktaç]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exploración de una transformación lineal de R2 en R2. El uso de geometría dinámica para ampliar o adecuar construcciones mentales]]></article-title>
<source><![CDATA[Actas Quinto Simposio Internacional ETM]]></source>
<year>2016</year>
<page-range>253-66</page-range><publisher-loc><![CDATA[Grecia ]]></publisher-loc>
<publisher-name><![CDATA[Florina]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Campos]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Los conceptos valor propio y vector propio en un texto de álgebra lineal: una mirada desde la teoría APOE]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Instituto Politécnico Nacional]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cook]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Presentation of matrix multiplication in introductory linear algebra textbooks]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Fukawa-Connolly]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Karakok]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Keene]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the 17th Annual Conference on Research in Undergraduate Mathematics Education]]></source>
<year>2014</year>
<page-range>518-22</page-range><publisher-loc><![CDATA[Denver, Colorado ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cook]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Zaskis]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Estrup]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Rationale for Matrix Multiplication in Linear Algebra Textbooks]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrews-Larson]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Berman]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Challenges and Strategies in Teaching Linear Algebra]]></source>
<year>2018</year>
<page-range>193-216</page-range><publisher-loc><![CDATA[Cham ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Del Valle]]></surname>
<given-names><![CDATA[J.C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra lineal para estudiantes de ciencias e ingenierías]]></source>
<year>2011</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fan]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Textbook research as scientific research: towards a common ground on issues and methods of research on mathematics textbooks]]></article-title>
<source><![CDATA[ZDM, The International Journal on Mathematics Education]]></source>
<year>2013</year>
<volume>45</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>765-77</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fan]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhu]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Miao]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Textbook research in mathematics education: Development status and directions. ZDM]]></article-title>
<source><![CDATA[The International Journal on Mathematics Education]]></source>
<year>2013</year>
<volume>45</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>633-46</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Friedberg]]></surname>
<given-names><![CDATA[S. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Insel]]></surname>
<given-names><![CDATA[A. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Spence]]></surname>
<given-names><![CDATA[L. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra Lineal]]></source>
<year>2003</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Pearson Educación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Giacoleti-Castillo]]></surname>
<given-names><![CDATA[F.M]]></given-names>
</name>
<name>
<surname><![CDATA[Cordero]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Usos y significados de la transformada de Laplace en una comunidad de ingenieros electrónicos]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2019</year>
<page-range>429-38</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[González-Rojas]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Roa-Fuentes]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Un esquema de transformación lineal: construcción de objetos abstractos a partir de la interiorización de acciones concretas]]></article-title>
<source><![CDATA[Enseñanza de las Ciencias]]></source>
<year>2017</year>
<volume>35</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>0089-107</page-range></nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Harel]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variations in linear algebra content presentations]]></article-title>
<source><![CDATA[For the Learning of Mathematics]]></source>
<year>1987</year>
<volume>7</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>29-32</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hillel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modes of description and the problem of representation in linear algebra]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Dorier]]></surname>
<given-names><![CDATA[J.-L.]]></given-names>
</name>
</person-group>
<source><![CDATA[On the teaching of linear Algebra]]></source>
<year>2000</year>
<page-range>191-207</page-range><publisher-loc><![CDATA[Grenoble, France ]]></publisher-loc>
<publisher-name><![CDATA[Kluwer Academic Publishers]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hoffman]]></surname>
<given-names><![CDATA[K]]></given-names>
</name>
<name>
<surname><![CDATA[Kunze]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra lineal]]></source>
<year>1973</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Prentice-Hall Hispanoamericana, S. A.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ibarra]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Un estudio sobre la educación matemática en el contexto de la reforma integral de la educación media superior en México]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2018</year>
<page-range>1666-72</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kilpatrick]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[From clay tablet to computer tablet: the evolution of school mathematics textbooks]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Jones]]></surname>
</name>
</person-group>
<source><![CDATA[Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014)]]></source>
<year>2014</year>
<page-range>3-11</page-range><publisher-loc><![CDATA[Southampton ]]></publisher-loc>
<publisher-name><![CDATA[University of Southampton]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Klasa]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A few pedagogical designs in linear algebra with Cabri and Maple]]></article-title>
<source><![CDATA[Linear algebra and its applications]]></source>
<year>2010</year>
<volume>432</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>2100-11</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Maturana]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Parraguez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[El Esquema del Concepto Transformación Lineal. Una Mirada a tres Interpretaciones desde la Teoría APOE]]></article-title>
<source><![CDATA[Educación Matemática en las Américas 2015 Volumen 10: Algebra y Cálculo]]></source>
<year>2015</year>
<publisher-name><![CDATA[Comité Interamericano de Educación Matemática]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Occelli]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Valeiras]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Los libros de texto como objeto de investigación: una revisión bibliográfica]]></article-title>
<source><![CDATA[Enseñanza de las ciencias]]></source>
<year>2013</year>
<volume>31</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>133-52</page-range></nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Osorio]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Díaz-Levicoy]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Tipos de gráficos estadísticos en libros de texto de matemática para la educación primaria peruana]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2018</year>
<volume>32</volume>
<page-range>849-56</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Parraguez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Oktac]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Construction of the vector space concept from the viewpoint of APOS theory]]></article-title>
<source><![CDATA[Linear Algebra and its Applications]]></source>
<year>2010</year>
<volume>432</volume>
<page-range>2112-24</page-range></nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Paz-Corrales]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Cantoral]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estudio socioepistemológico sobre la confrontación entre la geometría de descartes y la geometría analítica]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2019</year>
<volume>32</volume>
<page-range>394-403</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pérez]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Cantoral]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estudio sobre el papel de la confrontación en el tratamiento de la física clásica de newton al discurso matemático escolar]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2019</year>
<page-range>55-64</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Plaxco]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Wawro]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stretch Directions and Stretch Factors: A Sequence Intended to Support Guided Reinvention of Eigenvector and Eigenvalue]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrews-Larson]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Berman]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Challenges and Strategies in Teaching Linear Algebra]]></source>
<year>2018</year>
<page-range>175-92</page-range><publisher-loc><![CDATA[Cham ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Poole]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra Lineal. Una introducción Moderna]]></source>
<year>2011</year>
<edition>3º Ed.</edition>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Thomson]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Romero Félix]]></surname>
<given-names><![CDATA[C. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Oktaç]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Coordinación de registros y construcciones mentales en un ambiente dinámico para el aprendizaje de transformaciones lineales]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Gómez-Chacón]]></surname>
<given-names><![CDATA[I. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Actas Cuarto Simposio Internacional ETM]]></source>
<year>2015</year>
<page-range>387-400</page-range><publisher-loc><![CDATA[Madrid, Spain ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Roa-Fuentes]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Oktaç]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Construcción de una descomposición genética: Análisis teórico del concepto transformación lineal]]></article-title>
<source><![CDATA[Revista Latinoamericana de Investigación en Matemática Educativa]]></source>
<year>2010</year>
<volume>13</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>89-112</page-range></nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Roa-Fuentes]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Parraguez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estructuras mentales que modelan el aprendizaje de un teorema del álgebra lineal: Un estudio de casos en el contexto universitario]]></article-title>
<source><![CDATA[Formación universitaria]]></source>
<year>2017</year>
<volume>10</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>15-32</page-range></nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ruiz-Estrada]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Slisko]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Nieto-Frausto]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Detección de errores y contradicciones en un problema de un libro de texto de matemáticas: una exploración inicial del pensamiento crítico de los maestros]]></article-title>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2018</year>
<volume>32</volume>
<page-range>106-14</page-range><publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A. C]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salgado]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Una experiencia de enseñanza de los valores, vectores y espacios propios basada en la teoría APOE]]></article-title>
<source><![CDATA[Educación Matemática]]></source>
<year>2014</year>
<volume>26</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>75-107</page-range></nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salgado]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teaching eigenvalues and eigenvectors using models and APOS theory]]></article-title>
<source><![CDATA[The Journal of Mathematical Behavior]]></source>
<year>2015</year>
<volume>39</volume>
<page-range>100-20</page-range></nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sierpinska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On some aspects of students&#8217; thinking in linear algebra]]></article-title>
<source><![CDATA[On the teaching of linear Algebra]]></source>
<year>2000</year>
<page-range>209-46</page-range><publisher-loc><![CDATA[Grenoble, Francia ]]></publisher-loc>
<publisher-name><![CDATA[Kluwer Academics Publishers]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Thomas]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Eigenvalues and eigenvectors: embodied, symbolic, and formal thinking]]></article-title>
<source><![CDATA[Mathematics Education Research Group of Austaralasia]]></source>
<year>2011</year>
<volume>23</volume>
<page-range>275-96</page-range></nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Maturana]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Parraguez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Construcciones y mecanismos mentales para el aprendizaje del teorema matriz asociada a una transformación línea]]></article-title>
<source><![CDATA[Educación Matemática]]></source>
<year>2015</year>
<volume>27</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>95-124</page-range></nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Trigueros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Learning Linear Algebra Using Models and Conceptual Activities]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Andrews-Larson]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Berman]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Challenges and Strategies in Teaching Linear Algebra]]></source>
<year>2018</year>
<page-range>29-50</page-range><publisher-loc><![CDATA[Cham ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B41">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wawro]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Watson]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Student understanding of linear combinations of eigenvectors. ZDM]]></article-title>
<source><![CDATA[The International Journal on Mathematics Education]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B42">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yáñez]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Construcción de los conceptos de valores y vectores propios en R2 y R3 desde la teoría APOE]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Chile ]]></publisher-loc>
<publisher-name><![CDATA[Pontificia Universidad Católica de Valparaíso]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B43">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zandieh]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Wawro]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Rasmussen]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[An Example of Inquiry in Linear Algebra: The Roles of Symbolizing and Brokering]]></source>
<year>2016</year>
<page-range>1-29</page-range><publisher-name><![CDATA[PRIMUS]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
