<?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>S2448-80892018000200033</article-id>
<article-id pub-id-type="doi">10.24844/em3002.02</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Hacia una visión integradora de la enseñanza y el aprendizaje de las matemáticas]]></article-title>
<article-title xml:lang="en"><![CDATA[Towards an Integrative Vision of the Teaching and Learning of Mathematics]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[Abraham]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Científico Weizmann (Israel) Departamento de Enseñanza de las Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<volume>30</volume>
<numero>2</numero>
<fpage>33</fpage>
<lpage>48</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892018000200033&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892018000200033&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892018000200033&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: A partir de una definición informal de &#8220;perspectiva integradora&#8221; para la enseñanza de las matemáticas, este artículo propone diversos aspectos pasibles de integración y ejemplifica brevemente posibles vías de implementación en la escuela secundaria. La integración propuesta se refiere a aspectos usualmente disociados entre sí y en algunos casos hasta ignorados: diversos contenidos matemáticos (usualmente abordados como compartimentos estancos); conceptos y procedimientos; intuición y formalismo; matemáticas y la vida cotidiana. Concluimos reflexionando acerca de los posibles desafíos que presentaría la implementación de esta perspectiva.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: Following an informal definition of &#8220;integrative approach&#8221; for the teaching of mathematics, this paper proposes several aspects susceptible of integration and briefly exemplifies possible implementation ways in high school. The proposed integration refers to aspects which are usually dissociated and sometimes even ignored: mathematical content (usually addressed in a compartmentalized manner); concepts and procedures; intuition and formalism; mathematics and everyday life. We conclude by reflecting on the possible challenges in carrying on this approach.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[perspectiva integradora]]></kwd>
<kwd lng="es"><![CDATA[conceptos]]></kwd>
<kwd lng="es"><![CDATA[procedimientos]]></kwd>
<kwd lng="es"><![CDATA[intuición]]></kwd>
<kwd lng="es"><![CDATA[formalismo]]></kwd>
<kwd lng="en"><![CDATA[integrative approach]]></kwd>
<kwd lng="en"><![CDATA[concepts]]></kwd>
<kwd lng="en"><![CDATA[procedures]]></kwd>
<kwd lng="en"><![CDATA[intuition]]></kwd>
<kwd lng="en"><![CDATA[formalism]]></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[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Symbol sense: informal sense-making in formal mathematics]]></article-title>
<source><![CDATA[For the Learning of Mathematics]]></source>
<year>1994</year>
<volume>14</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>24-35</page-range></nlm-citation>
</ref>
<ref id="B2">
<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[Problem driven research in mathematics education]]></article-title>
<source><![CDATA[Journal of Mathematical Behavior]]></source>
<year>2000</year>
<volume>19</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>141-73</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="book">
<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 Everyday and the academic in mathematics]]></article-title>
<source><![CDATA[Everyday and Academic Mathematics in the Classroom. A Monograph edited by Journal for Research in Mathematics Education]]></source>
<year>2002</year>
<page-range>12-29</page-range><publisher-loc><![CDATA[Reston, Virginia ]]></publisher-loc>
<publisher-name><![CDATA[NCTM]]></publisher-name>
</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 teaching and 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="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[El desarrollo y el uso del sentido de los símbolos]]></article-title>
<source><![CDATA[Uno, Revista de Didáctica de las Matemáticas]]></source>
<year>2007</year>
<numero>44</numero>
<issue>44</issue>
<page-range>59-75</page-range></nlm-citation>
</ref>
<ref id="B6">
<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[Modelling with graphical representations]]></article-title>
<source><![CDATA[For the Learning of Mathematics]]></source>
<year>2008</year>
<volume>28</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>2-10</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Hadas]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Computer mediated learning: An example of an approach]]></article-title>
<source><![CDATA[International Journal of Computers for Mathematical Learning]]></source>
<year>2000</year>
<volume>5</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>25-45</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Hadas]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Dreyfus]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Engineering curriculum tasks on the basis of theoretical and empirical findings]]></article-title>
<source><![CDATA[Proceedings of the 18th International Conference on the Psychology of Mathematics (PME 18)]]></source>
<year>1994</year>
<volume>II</volume>
<page-range>280-7</page-range><publisher-loc><![CDATA[Lisbon ]]></publisher-loc>
<publisher-name><![CDATA[PME]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fischbein]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Intuition in Science and Mathematics: An Educational Approach]]></source>
<year>1987</year>
<publisher-loc><![CDATA[Dordrecht ]]></publisher-loc>
<publisher-name><![CDATA[Reidel]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Freudenthal]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Didactical Phenomenology of Mathematical Structures]]></source>
<year>1983</year>
<publisher-loc><![CDATA[Dordrecht ]]></publisher-loc>
<publisher-name><![CDATA[Reidel]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Friedlander]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[How to Practice it: An Integrated Approach to Algebraic Skills]]></article-title>
<source><![CDATA[Mathematics Teacher]]></source>
<year>2012</year>
<volume>105</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>608-14</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Friedlander]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Arcavi]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Tasks &amp; Competencies in the Teaching and Learning of Algebra]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Reston, VA ]]></publisher-loc>
<publisher-name><![CDATA[National Council of Teachers of Mathematics (NCTM)]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Papert]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mindstorms]]></source>
<year>1980</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Basic Books]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sfard]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Symbolizing mathematical reality into being: How mathematical discourse and mathematical objects create each other]]></article-title>
<source><![CDATA[Symbolizing and Communicating: Perspectives on Mathematical Discourse, Tools, and Instructional Design]]></source>
<year>2000</year>
<page-range>37-98</page-range><publisher-loc><![CDATA[Mahwah, NJ ]]></publisher-loc>
<publisher-name><![CDATA[Erlbaum]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tobias]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[They&#8217;re Not Dumb, They&#8217;re Different. Stalking the Second Tier]]></source>
<year>1990</year>
<publisher-loc><![CDATA[Arizona ]]></publisher-loc>
<publisher-name><![CDATA[Research Corporation]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vasco]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Potenciar el pensamiento matemático: ¡Un reto escolar! - Estándares Básicos de Competencias en Matemáticas]]></source>
<year>2005</year>
<publisher-loc><![CDATA[Bogotá, D.C. ]]></publisher-loc>
<publisher-name><![CDATA[Ministerio de Educación Nacional]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
