<?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>S2448-80892017000100201</article-id>
<article-id pub-id-type="doi">10.24844/em2901.08</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un programa de desarrollo profesional docente para un currículo de matemática centrado en las habilidades: la resolución de problemas como eje articulador]]></article-title>
<article-title xml:lang="en"><![CDATA[A Teacher Professional Development Program for an Ability Centered Currículum: Problem Solving as Articulator Strand]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Felmer]]></surname>
<given-names><![CDATA[Patricio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Perdomo-Díaz]]></surname>
<given-names><![CDATA[Josefa]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Centro de Modelamiento Matemático (CMM)  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de La Laguna Departamento de Análisis Matemático ]]></institution>
<addr-line><![CDATA[ Tenerife]]></addr-line>
<country>España</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2017</year>
</pub-date>
<volume>29</volume>
<numero>1</numero>
<fpage>201</fpage>
<lpage>217</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892017000100201&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892017000100201&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892017000100201&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: En este artículo se presenta un programa de desarrollo profesional docente compuesto por tres estrategias y cuyo eje articulador es la resolución de problemas. Estas estrategias, que denominamos Taller RPAcción, Taller RPContenido y Taller RPAula, tienen como propósito promover el desarrollo de las habilidades matemáticas y fortalecer los conocimientos matemáticos, tanto de los docentes de matemática como de los estudiantes de los diferentes niveles escolares, atendiendo así a los requerimientos del nuevo currículo de matemática. En el artículo se describe cada uno de estos talleres, sus fundamentos y experiencias piloto realizadas. Estos talleres constituyen el núcleo central de un proyecto Fondef en desarrollo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: In this paper a teacher professional development program composed of three strategies and whose articulating strand is problem solving is presented. These strategies, which we call RPAction Workshop, RPContent and RPClassroom Workshop, are intended to promote the development of mathematics skills and strengthen mathematical knowledge, both for mathematics teachers and students from different grade levels, thus meeting the requirements of the new mathematics curriculum. This article describes each of these workshops, its foundations and pilot schemes. These workshops form the core of a Fondef development project.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[desarrollo profesional docente]]></kwd>
<kwd lng="es"><![CDATA[educación matemática]]></kwd>
<kwd lng="es"><![CDATA[resolución de problemas]]></kwd>
<kwd lng="es"><![CDATA[habilidades matemáticas]]></kwd>
<kwd lng="en"><![CDATA[Professional teacher development]]></kwd>
<kwd lng="en"><![CDATA[mathematics education]]></kwd>
<kwd lng="en"><![CDATA[problem solving]]></kwd>
<kwd lng="en"><![CDATA[mathematical skills]]></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[Ball]]></surname>
<given-names><![CDATA[D.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Thames]]></surname>
<given-names><![CDATA[M.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Phelps]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Content Knowledge for Teaching. What Makes It Special?]]></article-title>
<source><![CDATA[Journal of Teacher Education]]></source>
<year>2008</year>
<volume>59</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>389-407</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Borko]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Professional Development and Teacher Learning: Mapping the Terrain]]></article-title>
<source><![CDATA[Educational Researcher]]></source>
<year>2004</year>
<volume>33</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>3-15</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Desimone]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Porter]]></surname>
<given-names><![CDATA[A.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Garet]]></surname>
<given-names><![CDATA[M.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Yoon]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Birman]]></surname>
<given-names><![CDATA[B.F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Effects of Profesional development on Teacher&#8217;s Instruction: Results from a Three-year Longitudinal Study]]></article-title>
<source><![CDATA[Educational Evaluation and Policy Analysis]]></source>
<year>2002</year>
<volume>24</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>81-112</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dindyal]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Guan]]></surname>
<given-names><![CDATA[T.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Lam]]></surname>
<given-names><![CDATA[T.T.]]></given-names>
</name>
<name>
<surname><![CDATA[Hoong]]></surname>
<given-names><![CDATA[L. Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Seng]]></surname>
<given-names><![CDATA[Q.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Mathematical Problem Solving for Everyone: A New Beginning]]></article-title>
<source><![CDATA[The Mathematics Educator]]></source>
<year>2012</year>
<volume>13</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>1-20</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Felmer]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Perdomo-Díaz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Randolph]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Resolución de problemas como estrategia para la formación continua: un estudio de caso con fracciones]]></source>
<year>2013</year>
<conf-name><![CDATA[ XVIIJornadas Nacionales de Educación Matemática]]></conf-name>
<conf-loc>Santiago, Chile </conf-loc>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Garet]]></surname>
<given-names><![CDATA[M.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Porter]]></surname>
<given-names><![CDATA[A.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Desimone]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Birman]]></surname>
<given-names><![CDATA[B.F.]]></given-names>
</name>
<name>
<surname><![CDATA[Suk Yoon]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[What Makes Professional Development Effective? Results From a National Sample of Teachers]]></article-title>
<source><![CDATA[American Educational Research Journal]]></source>
<year>2001</year>
<volume>38</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>915-45</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kilpatrick]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Swafford]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Findell]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Strands of Mathematical Proficiency. Adding It Up: Helping Children Learn Mathematics]]></source>
<year>2009</year>
<edition>7</edition>
<page-range>115-55</page-range><publisher-loc><![CDATA[Washington, DC ]]></publisher-loc>
<publisher-name><![CDATA[National Academy Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<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[George Pólya's influence on mathematics education]]></article-title>
<source><![CDATA[Math. Mag]]></source>
<year>1987</year>
<volume>60</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>299-300</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Koellner]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Jacobs]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Borko]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Schneider]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Pittman]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Bunning]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Frykholm]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Problem-Solving Cycle: A Model to Support the Development of Teachers' Professional Knowledge]]></article-title>
<source><![CDATA[Mathematical Thinking and Learning]]></source>
<year>2007</year>
<volume>9</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>273-303</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Koellner]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Schneider]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Roberts]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Jacobs]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Borko]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Using the Problem-Solving Cycle model of professional development to support novice mathematics instructional leaders]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Arbaugh]]></surname>
<given-names><![CDATA[F]]></given-names>
</name>
<name>
<surname><![CDATA[Taylor]]></surname>
<given-names><![CDATA[P. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Inquiry into Mathematics Teacher Education. Association of Mathematics Teacher Educators (AMTE)]]></source>
<year>2008</year>
<volume>5</volume>
<page-range>59-70</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leong]]></surname>
<given-names><![CDATA[Y.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Dindyal]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Toh]]></surname>
<given-names><![CDATA[T.L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teacher preparation for a problem-solving curriculum in Singapore]]></article-title>
<source><![CDATA[ZDM Mathematics Education]]></source>
<year>2011</year>
<numero>43</numero>
<issue>43</issue>
<page-range>819-31</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leong]]></surname>
<given-names><![CDATA[Y.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Tay]]></surname>
<given-names><![CDATA[E.G.]]></given-names>
</name>
<name>
<surname><![CDATA[Quek]]></surname>
<given-names><![CDATA[K.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Toh]]></surname>
<given-names><![CDATA[T.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Toh]]></surname>
<given-names><![CDATA[P.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Dindyal]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ho]]></surname>
<given-names><![CDATA[F.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Yap]]></surname>
<given-names><![CDATA[R.A.S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Making Mathematics More Practical: Implementation in the Schools]]></source>
<year>2013</year>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Marrongelle]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Sztajn]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Smith]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Scaling Up Professional Development in an Era of Common State Standards]]></article-title>
<source><![CDATA[Journal of Teacher Education]]></source>
<year>2013</year>
<volume>64</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>202-11</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="">
<collab>Mineduc, Ministerio de Educación</collab>
<source><![CDATA[Bases Curriculares, 1º a 6º básico.]]></source>
<year>2012</year>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="book">
<collab>NCTM, National Council of Teachers of Mathematics.</collab>
<source><![CDATA[Principles and standars for school mathematics]]></source>
<year>2000</year>
<publisher-loc><![CDATA[Reston, Va ]]></publisher-loc>
<publisher-name><![CDATA[NCTM.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Niss]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mathematical competencies and the learning of mathematics: the Danish KOM project.]]></source>
<year>2002</year>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Perdomo-Díaz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Felmer]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Randolph]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Problem Solving as a Professional Development Strategy: A Case Study with Fractions]]></article-title>
<source><![CDATA[The EURASIA J. Math., Sci. &amp; Tech. Ed]]></source>
<year>2017</year>
<volume>13</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>987-99</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<collab>PISA, Informe Nacional Resultados Chile PISA 2012</collab>
<source><![CDATA[Agencia de Calidad de la Educación]]></source>
<year>2014</year>
<publisher-loc><![CDATA[Santiago ]]></publisher-loc>
<publisher-name><![CDATA[Ministerio de Educación de Chile]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Polya]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[How To Solve It]]></source>
<year>1945</year>
<publisher-name><![CDATA[Princeton University Press, Cambridge]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="">
<collab>Proyecto Fondef</collab>
<source><![CDATA[Estrategias de Desarrollo Profesional: Profesores de ed Básica, Habilidades Matemáticas y Clases de Matemática]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Chile ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Quek]]></surname>
<given-names><![CDATA[K.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Leong]]></surname>
<given-names><![CDATA[Y.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Tay]]></surname>
<given-names><![CDATA[E.G.]]></given-names>
</name>
<name>
<surname><![CDATA[Toh]]></surname>
<given-names><![CDATA[T.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Dindyal]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Diffusion of the Mathematics Practical Paradigm in the Teaching of Problem Solving: Theory and Praxis]]></source>
<year>2012</year>
<conf-name><![CDATA[ 35Annual Conference of the Mathematics Education Research Group of Australasia Incorporated]]></conf-name>
<conf-date>2012</conf-date>
<conf-loc>Singapore </conf-loc>
</nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="book">
<collab>TIMSS</collab>
<source><![CDATA[Marcos de Evaluación]]></source>
<year>2012</year>
<publisher-loc><![CDATA[Madrid, España ]]></publisher-loc>
<publisher-name><![CDATA[TIMSS &amp; PIRSL, International Study Center, Ministerio de Educación, Cultura y Deporte]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Toh]]></surname>
<given-names><![CDATA[T.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Quek]]></surname>
<given-names><![CDATA[K.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Leong]]></surname>
<given-names><![CDATA[Y.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Dindyal]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Tay]]></surname>
<given-names><![CDATA[E.G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Making Mathematics Practical, An Approach to Problem Solving]]></source>
<year>2011</year>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Varas]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[On the Development of Pupils&#8217; and Teachers&#8217; Mathematical Understanding and Performance when Dealing with Open-Ended Problems]]></source>
<year>2012</year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
