<?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>S2448-80892017000200159</article-id>
<article-id pub-id-type="doi">10.24844/em2902.06</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Análisis de las estrategias de resolución de problemas en matemática utilizadas por estudiantes talentosos de 12 a 14 años]]></article-title>
<article-title xml:lang="en"><![CDATA[Analysis of the Strategies Used by Talent Students, 12 to 14 Years-old, to Solve Mathematics Problem]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez]]></surname>
<given-names><![CDATA[Miguel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gregori]]></surname>
<given-names><![CDATA[Pablo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Riveros]]></surname>
<given-names><![CDATA[Ana]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aceituno]]></surname>
<given-names><![CDATA[David]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Playa Ancha  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Jaume I  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>España</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Pontificia Universidad Católica de Valparaíso  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</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>2</numero>
<fpage>159</fpage>
<lpage>186</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892017000200159&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892017000200159&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892017000200159&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Este artículo presenta parte de un estudio cuyo foco es el análisis de estrategias y procedimientos matemáticos que desplegaron estudiantes talentosos en un taller de resolución de problemas en la Quinta Región de Chile, utilizando el análisis implicativo como recurso estadístico. La metodología consideró el trabajo de un grupo de estudiantes que individualmente resolvían problemas según la temática en estudio, y a los cuales se les permitió explicar sus estrategias y formas de abordar los problemas planteados en forma socializada. Como principal hallazgo, se evidencia el uso eficaz de las estrategias ensayo y error, búsqueda de patrones y haz una lista para resolver distintos problemas, que demandaron manipular un conjunto de números naturales consecutivos bajo una condición dada. Además, se describen los procedimientos matemáticos que se activaron a la luz de las estrategias utilizadas, y su relación con los contenidos matemáticos que los programas de estudio declaran. Esta estrategia de trabajo permite establecer las distintas formas de proceder en la resolución de problemas de los estudiantes que participaron y al mismo tiempo el uso de los recursos operatorios que ellos utilizaban, considerando la necesidad de desarrollar la habilidad de resolver problemas, establecida por el currículo nacional en Chile.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This article presents part of a study that focuses on the analysis of strategies and mathematical procedures displayed by gifted students in a problem-solving workshop, which was implemented in the fifth region of Chile. The implicative analysis was used as statistic resource. The methodology considered the work that a group of students produced individually as they solved problems according to the topic of study. Additionally, these students were allowed to explain their strategies and methods, as well as to approach the proposed problems in a socialized way. Findings reveal the strategies used by students, which include trial and error, pattern recognition, make-a-list to solve different problems that demanded the knowledge of a set of consecutive natural numbers under a given condition. They also show the mathematical procedures that were activated when using the strategies, and their relation to the mathematical contents stated in the study plans. This working strategy allows to identify different approaches to problem-solving, and to specify the operatory resources that students used, considering the need to develop the skill to solve problems, as stated by the Chilean national curriculum.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Resolución de problemas]]></kwd>
<kwd lng="es"><![CDATA[estrategias]]></kwd>
<kwd lng="es"><![CDATA[talento]]></kwd>
<kwd lng="en"><![CDATA[Problem solving]]></kwd>
<kwd lng="en"><![CDATA[strategies]]></kwd>
<kwd lng="en"><![CDATA[talent]]></kwd>
</kwd-group>
</article-meta>
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