<?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>S2448-80892021000100268</article-id>
<article-id pub-id-type="doi">10.24844/em3301.10</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Interacciones entre proposiciones condicionales y sistemas matemáticos de símbolos en una tarea matemática]]></article-title>
<article-title xml:lang="en"><![CDATA[Interactions between conditional propositions and mathematical symbol systems in a mathematical task]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lacues Apud]]></surname>
<given-names><![CDATA[Eduardo Mario]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Díaz Moreno]]></surname>
<given-names><![CDATA[Leonora]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Huertas]]></surname>
<given-names><![CDATA[Juan Antonio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Católica del Uruguay Departamento de Ciencias Exactas y Naturales ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Uruguay</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Pontificia Universidad Católica de Chile  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Autónoma de Madrid Departamento de Psicología Básica ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</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>1</numero>
<fpage>268</fpage>
<lpage>295</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892021000100268&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892021000100268&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892021000100268&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Se presentan resultados de una investigación con estudiantes de un curso de Cálculo de primer año universitario, diseñada para indagar acerca del uso que ellos hacen de los enunciados condicionales (condición suficiente, condición necesaria) y su relación con los Sistemas Matemáticos de Símbolos en los que se presenta la información sobre estos enunciados (registro gráfico, registro algebraico). Las preguntas formuladas en esta instancia son similares a las que se deben responder en actividades relacionadas con la noción de función. Se encontraron diferencias en el rendimiento de los estudiantes, que indican que las tareas sobre condición necesaria presentadas en el registro gráfico resultan significativamente más sencillas que las demás; hay indicios de un mejor rendimiento en tareas presentadas en el registro gráfico respecto de las correspondientes al algebraico y en las tareas sobre condición necesaria en relación con las respectivas sobre condición suficiente.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: Results from an investigation with freshmen in a first year university Calculus course are presented, which was designed to inquiry about their use of conditional propositions (necessary condition, sufficient condition) and its relation with the Mathematical Symbol System used to present information about these propositions (graphic register, algebraic register). The questions formulated in this instance are similar to those that must be answered in activities related with the notion of function. Differences in students&#8217; performance indicate that tasks about necessary condition on graphic register result significantly easier than others; there is evidence of a better performance in tasks on graphic register in relation with algebraic one, and in tasks about necessary condition with respect to sufficient condition.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Condición necesaria]]></kwd>
<kwd lng="es"><![CDATA[Condición suficiente]]></kwd>
<kwd lng="es"><![CDATA[Sistemas Matemáticos de Símbolos]]></kwd>
<kwd lng="es"><![CDATA[Registros de Representación]]></kwd>
<kwd lng="es"><![CDATA[Funciones]]></kwd>
<kwd lng="en"><![CDATA[Necessary condition]]></kwd>
<kwd lng="en"><![CDATA[Sufficient condition]]></kwd>
<kwd lng="en"><![CDATA[Mathematical Symbol Systems]]></kwd>
<kwd lng="en"><![CDATA[Representations registers]]></kwd>
<kwd lng="en"><![CDATA[Functions]]></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[Alcock]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Weber]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Proof validation in real analysis: Inferring and checking warrants]]></article-title>
<source><![CDATA[The Journal of Mathematical Behavior]]></source>
<year>2005</year>
<volume>24</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>125-34</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alcock]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Simpson]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Convergence of sequences and series: Interactions between visual reasoning and the learner&#8217;s beliefs about their own role]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2004</year>
<volume>57</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>1-32</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Alcock]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Simpson]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Convergence of sequences and series 2: Interactions between nonvisual reasoning and the learner&#8217;s beliefs about their own role]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2005</year>
<volume>58</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>77-100</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The role of visual representations in the learning of mathematics]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2003</year>
<volume>52</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>215-41</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Artigue]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[La enseñanza de los principios del cálculo: problemas epistemológios, cognitivos y didácticos]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Artigue]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Douady]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Moreno]]></surname>
<given-names><![CDATA[.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Ingeniería Didáctica en Educación Matemática]]></source>
<year>1995</year>
<page-range>97-140</page-range><publisher-name><![CDATA[Grupo Editorial Iberoamérica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Artigue]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teaching and learning calculus. What can be learned from education research and curricular changes in France]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Dubinsky]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Schoenfeld]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kaput]]></surname>
<given-names><![CDATA[.]]></given-names>
</name>
</person-group>
<source><![CDATA[Research in Collegiate Mathematics Education IV]]></source>
<year>2000</year>
<page-range>1-14</page-range><publisher-name><![CDATA[CBMS]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Berger]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The funtional use of a mathematical sign]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2004</year>
<volume>55</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>81-102</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Blázquez]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ortega]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Gatica]]></surname>
<given-names><![CDATA[S. N.]]></given-names>
</name>
<name>
<surname><![CDATA[Benegas]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Una conceptualización de límite para el aprendizaje inicial de análisis matemático de la universidad]]></article-title>
<source><![CDATA[Revista Latinoamericana de Investigación en Matemática Educativa]]></source>
<year>2006</year>
<volume>9</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>189-209</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brunschvicg]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Las etapas de la filosofía matemática]]></source>
<year>1945</year>
<publisher-name><![CDATA[Lautaro]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Camacho]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Sánchez]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Zubieta]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Los estudiantes de ciencias, ¿pueden reconocer los argumentos lógicos involucrados en una demostración?]]></article-title>
<source><![CDATA[Enseñanza de las Ciencias]]></source>
<year>2014</year>
<volume>32</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>117-38</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Camarena]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Aportaciones de investigación al aprendizaje y enseñanza de la Matemática en ingeniería]]></article-title>
<source><![CDATA[Ingeniería en Comunicaciones y Electrónica]]></source>
<year>2010</year>
<page-range>1-47</page-range><publisher-name><![CDATA[Academia de Ingeniería de México]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Crespo]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Farfán]]></surname>
<given-names><![CDATA[R. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Lezama]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Argumentaciones y demostraciones: una visión de la influencia de los escenarios socioculturales]]></article-title>
<source><![CDATA[Revista Latinoamericana de Investigación en Matemática Educativa]]></source>
<year>2010</year>
<volume>13</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>283-306</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Douady]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Jeux de cadres et dialectique outil-objet dans l&#8217;enseignement mathématique. Une réalisation dans tout le cursus primaire]]></source>
<year>1984</year>
<publisher-name><![CDATA[Université de Paris VII]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Douady]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Jeux de cadres et dialectique outil-objet]]></article-title>
<source><![CDATA[Recherches en Didactique des Mathématiques]]></source>
<year>1986</year>
<volume>7</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>5-32</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Durand-Guerrier]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Which notion of implication is the right one? From logical considerations to a didactic perspective]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2003</year>
<volume>53</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>5-34</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Durand-Guerrier]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Natural deduction in predicate calculus a tool for analysing proof in a didactic perspective]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Bosch]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education]]></source>
<year>2005</year>
<page-range>409-19</page-range><publisher-name><![CDATA[ERME]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Duval]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Sémiosis et pensée humaine]]></source>
<year>1995</year>
<publisher-name><![CDATA[Peter Lang]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Duval]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Registros de representación semiótica y funcionamiento cognitivo del pensamiento]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Hitt]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigaciones en Matemática Educativa II]]></source>
<year>1998</year>
<page-range>173-201</page-range><publisher-name><![CDATA[Grupo Editorial Iberoamérica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gagatsis]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Shiakalli]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Ability to translate from one representation of the concept of function to another and mathematical problem solving.]]></article-title>
<source><![CDATA[Educational Psychology]]></source>
<year>2004</year>
<volume>24</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>645-57</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Glymour]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Thinking things through: An introduction to philosophical issues and achievements]]></source>
<year>1998</year>
<publisher-name><![CDATA[The MIT Pres]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hoyles]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Küchemann]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Students&#8217; understanding of logical implication]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2002</year>
<volume>51</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>193-223</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Inglis]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Alcock]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Expert and novice approaches to reading mathematical proofs]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2012</year>
<volume>43</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>358-90</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Johnson-Laird]]></surname>
<given-names><![CDATA[P. N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[El pensamiento como habilidad]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Carretero]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Madruga]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Lecturas en psicología del pensamiento]]></source>
<year>1984</year>
<page-range>123-45</page-range><publisher-name><![CDATA[Alianza Psicología]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kaput]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Towards a theory of symbol use in mathematics]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Janvier]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Problems of representations in the teaching and learning of mathematics]]></source>
<year>1987</year>
<page-range>159-96</page-range><publisher-name><![CDATA[Laurence Earlbaum Associates]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kieran]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The learning and teaching of school algebra]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Grouws]]></surname>
<given-names><![CDATA[D. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Handbook of research on mathematics teaching and learning]]></source>
<year>1992</year>
<page-range>707-62</page-range><publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lew]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Fukawa-Conelly]]></surname>
<given-names><![CDATA[T. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Mejía-Ramos]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Weber]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lectures in advanced mathematics: Why students might not understand what the mathematics professor is trying to convey]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2016</year>
<volume>47</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>162-98</page-range></nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Martí]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Pozo]]></surname>
<given-names><![CDATA[J. I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Más allá de las representaciones mentales, la adquisición de sistemas externos de representación. Infancia y aprendizaje]]></source>
<year>2000</year>
<volume>23</volume>
<numero>90</numero>
<issue>90</issue>
<page-range>11-30</page-range></nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Morou]]></surname>
<given-names><![CDATA[A. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kalospyros]]></surname>
<given-names><![CDATA[N. A. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[The role of logic in teaching, learning and analyzing proof]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Palmer]]></surname>
<given-names><![CDATA[S. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fundamental aspects of cognitive representations]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Rosch]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Lloyd]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cognition and categorization]]></source>
<year>1977</year>
<page-range>259-303</page-range><publisher-name><![CDATA[Laurence Earlbaum Associates]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pocoví]]></surname>
<given-names><![CDATA[M. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Collivadino]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Traducción entre lenguajes simbólicos de distintas áreas del conocimiento: el caso del flujo del campo eléctrico]]></article-title>
<source><![CDATA[Enseñanza de las Ciencias]]></source>
<year>2014</year>
<volume>32</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>53-69</page-range></nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Puig]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Signos, textos y sistemas matemáticos de signos]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Filloy]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Matemática educativa: aspectos de la investigación actual]]></source>
<year>2003</year>
<page-range>174-86</page-range><publisher-name><![CDATA[Fondo de Cultura Económica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Radford]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On signs and representations. A cultural account]]></article-title>
<source><![CDATA[Scientia Paedagogica Experimentalis]]></source>
<year>1998</year>
<volume>35</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>277-302</page-range></nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Radford]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Puig]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Syntax and meanings as sensuous, visual, historical forms of algebraic thinking]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2007</year>
<volume>66</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>145-64</page-range></nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rojas]]></surname>
<given-names><![CDATA[P. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Objetos matemáticos, representaciones semióticas y sentidos]]></article-title>
<source><![CDATA[Enseñanza de las Ciencias]]></source>
<year>2015</year>
<volume>33</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>151-65</page-range></nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Selling]]></surname>
<given-names><![CDATA[S. K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Learning to represent, representing to learn]]></article-title>
<source><![CDATA[The Journal of Mathematical Behavior]]></source>
<year>2015</year>
<volume>41</volume>
<page-range>191-209</page-range></nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tall]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Inconsistencies in the learning of calculus and analysis]]></article-title>
<source><![CDATA[Focus on Learning Problems in Mathematics]]></source>
<year>1990</year>
<volume>12</volume>
<numero>3-4</numero>
<issue>3-4</issue>
<page-range>49-63</page-range></nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weber]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Alcock]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Semantic and syntactic proof productions]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2004</year>
<volume>56</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>209-34</page-range></nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zazkis]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Weber]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mejía-Ramos]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Two proving strategies of highly successful mathematics majors]]></article-title>
<source><![CDATA[The Journal of Mathematical Behavior]]></source>
<year>2015</year>
<volume>39</volume>
<page-range>11-27</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
