<?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>S2448-80892018000200073</article-id>
<article-id pub-id-type="doi">10.24844/em3002.04</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Diferencias entre discursos colectivos (verbales) e individuales (escritos) al hacer demostraciones en geometría: una explicación a partir del sistema de normas]]></article-title>
<article-title xml:lang="en"><![CDATA[Differences between Collective (Verbal) and Individual (Written) Discourses when Proving in Geometry: An Explanation from the Norms System]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Molina]]></surname>
<given-names><![CDATA[Oscar]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pino-Fan]]></surname>
<given-names><![CDATA[Luis]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Pedagógica Nacional Departamento de Matemáticas, Facultad de Ciencia y Tecnología ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Los Lagos Departamento de Ciencias Exactas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</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>73</fpage>
<lpage>105</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892018000200073&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892018000200073&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892018000200073&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Con el fin de involucrar a estudiantes de secundaria en un curso de geometría plana centrado en la práctica de demostrar, fue replicada una innovación que se ha venido desarrollando en un curso de nivel universitario y cuyos efectos han sido interpretados como exitosos. Uno de los resultados de dicha réplica constituye un hecho no esperado por parte del grupo investigativo y de los profesores del curso que participaron en la experiencia: no existe correspondencia entre las producciones verbales de los alumnos -cuando se involucran en la construcción colectiva de la demostración de una conjetura formulada por la clase producto de la solución de un problema- y las producciones autónomas que realizan al reportar por escrito la demostración previa-mente construida de manera colectiva. Esta situación problemática es explicada mediante un dispositivo analítico que articula constructos tales como situaciones instruccionales, contrato didáctico, normas sociomatemáticas y discurso reflexivo, a partir de los cuales se estudia la interacción en el aula y el rol del profesor en ella.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: To involve students of a high school geometry course in the proving process, it was replicated a methodological innovation that has been implemented in a university geometry course and whose effects have been interpreted as successful. One result of this replica shows an unexpected fact by both the research group and teachers involved in the experience: there is a mismatch between students&#8217; verbal productions when they engage in collective construction of the proof of a conjecture formulated by whole class as product of the solution of a problem, and the productions that the students autonomously perform when they must report in writing the proof that was previously constructed collectively. This problematic issue is explained by an analytical device that articulates constructs such as instructional situations, didactic contract, sociomathematical norms and reflexive discourse, from which the interaction in the classroom and the teacher&#8217;s role in it are studied.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[interacción en el aula]]></kwd>
<kwd lng="es"><![CDATA[discurso reflexivo]]></kwd>
<kwd lng="es"><![CDATA[contrato didáctico]]></kwd>
<kwd lng="es"><![CDATA[normas sociomatemáticas]]></kwd>
<kwd lng="es"><![CDATA[demostración]]></kwd>
<kwd lng="en"><![CDATA[interaction in the classroom]]></kwd>
<kwd lng="en"><![CDATA[reflective discourse]]></kwd>
<kwd lng="en"><![CDATA[didactic contract]]></kwd>
<kwd lng="en"><![CDATA[sociomathematical norms]]></kwd>
<kwd lng="en"><![CDATA[proof]]></kwd>
</kwd-group>
</article-meta>
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</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yackel]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Cobb]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Sociomathematical Norms, Argumentation, and Autonomy in Mathematics]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>1996</year>
<volume>27</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>458-77</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
