<?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>2215-3470</journal-id>
<journal-title><![CDATA[Uniciencia]]></journal-title>
<abbrev-journal-title><![CDATA[Uniciencia]]></abbrev-journal-title>
<issn>2215-3470</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional, Costa Rica]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2215-34702022000100014</article-id>
<article-id pub-id-type="doi">10.15359/ru.36-1.2</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Teacher reflection on a teachingLearning situation regarding the concept of relation in secondary education]]></article-title>
<article-title xml:lang="pt"><![CDATA[Reflexão docente de uma situação de ensino e aprendizagem sobre o conceito de relação no ensino médio]]></article-title>
<article-title xml:lang="es"><![CDATA[Reflexión docente de una situación de enseñanza y aprendizaje sobre el concepto de relación en educación secundaria]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Picado-Alfaro]]></surname>
<given-names><![CDATA[Miguel]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Loría-Fernández]]></surname>
<given-names><![CDATA[José Romilio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Espinoza-González]]></surname>
<given-names><![CDATA[Jonathan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Escuela de Matemática ]]></institution>
<addr-line><![CDATA[Heredia ]]></addr-line>
<country>Costa Rica</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Escuela de Matemática ]]></institution>
<addr-line><![CDATA[Heredia ]]></addr-line>
<country>Costa Rica</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Nacional Escuela de Matemática ]]></institution>
<addr-line><![CDATA[Heredia ]]></addr-line>
<country>Costa Rica</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<volume>36</volume>
<numero>1</numero>
<fpage>14</fpage>
<lpage>35</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S2215-34702022000100014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S2215-34702022000100014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S2215-34702022000100014&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This study is part of the research in didactics of mathematics on teacher training. In particular, the study focuses on the knowledge of mathematics teachers, taking as a reference the theoretical approaches of the Mathematics Teacher&#8217;s Specialized Knowledge (MTSK) model and teacher reflection as a professional competence. The study corresponds to a descriptive-qualitative research, based on an instrumental study of cases, whose purpose is to describe and analyze the manifestations of mathematics teachers of Secondary Education when they observe a teaching-learning situation that shows a teacher of mathematics teaching the concept of relation. For this, narratives written by seven Secondary Education mathematics teachers in service were used, which indicate some aspects identified by them as relevant from the observed situation. The analysis of the gathered information was carried out by defining categories, subcategories, and analysis units based on the components of the MTSK model. The results indicate that participating teachers accentuate, in their manifestations, attributes mainly associated with didactic knowledge of mathematical content. The reflection of this group of teachers is characterized by three specific aspects of the MTSK model: teaching, learning, and knowledge of the topics. It is interpreted that teacher reflection has been influenced by the professional experience of the teachers participating in the study.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Este estudo se enquadra nas pesquisas em didática da matemática sobre a formação de docentes. Particularmente, está enfocado no conhecimento desta população tendo como referência as exposições teóricas do modelo denominado conhecimento especializado do professor de matemática (MTSK) e da reflexão docente como competência profissional. Corresponde a uma pesquisa qualitativa descritiva, baseada em um estudo instrumental de casos, cujo propósito é descrever e analisar as manifestações de docentes de matemática do ensino médio ao observar uma situação de ensino-aprendizagem que um professor mostra ao ensinar o conceito de relação. Para isso, foram utilizadas as narrativas escritas por sete docentes de matemática do ensino médio em serviço, que destacam aspectos identificados como relevantes da situação observada. A análise das informações foi realizada mediante a definição de categorias, subcategorias e unidades de análises baseadas nos componentes do modelo MTSK. Os resultados mostram que as pessoas docentes participantes destacam, nas manifestações registradas nas narrativas, atributos associados principalmente ao conhecimento didático do conteúdo matemático. A reflexão deste grupo de docentes se caracteriza a partir de três aspectos específicos do modelo MTSK: o ensino, a aprendizagem e o conhecimento dos temas. A interpretação é que a experiência profissional influenciou na reflexão das pessoas docentes participantes no estudo.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este estudio se enmarca en las investigaciones en didáctica de la matemática sobre la formación de docentes. Particularmente, se enfoca el conocimiento de esta población tomando como referente los planteamientos teóricos del modelo denominado conocimiento especializado del profesor de matemática (MTSK) y de la reflexión docente como competencia profesional. Corresponde a una investigación cualitativa descriptiva, basada en un estudio instrumental de casos, cuyo propósito es describir y analizar las manifestaciones de docentes de matemática de educación secundaria al observar una situación de enseñanza-aprendizaje que muestra a un profesor cuando enseña el concepto de relación. Para esto, se utilizaron las narrativas escritas por siete docentes de matemática de educación secundaria en servicio, las cuales señalan aspectos identificados como relevantes de la situación observada. El análisis de la información se realizó mediante la definición de categorías, subcategorías y unidades de análisis basadas en los componentes del modelo MTSK. Los resultados muestran que las personas docentes participantes acentúan, en las manifestaciones registradas en las narrativas, atributos asociados principalmente al conocimiento didáctico del contenido matemático. La reflexión de este grupo de docentes se caracteriza desde tres aspectos específicos del modelo MTSK: la enseñanza, el aprendizaje y el conocimiento de los temas. Se interpreta que la reflexión se ha visto influenciada por la experiencia profesional de las personas docentes participantes en el estudio.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Mathematics teachers&#8217; specialized knowledge]]></kwd>
<kwd lng="en"><![CDATA[Noticing]]></kwd>
<kwd lng="en"><![CDATA[Relation]]></kwd>
<kwd lng="en"><![CDATA[Narratives]]></kwd>
<kwd lng="en"><![CDATA[Secondary Education]]></kwd>
<kwd lng="pt"><![CDATA[Conhecimento especializado do professor de matemáticas]]></kwd>
<kwd lng="pt"><![CDATA[reflexão docente]]></kwd>
<kwd lng="pt"><![CDATA[relação]]></kwd>
<kwd lng="pt"><![CDATA[narrativas]]></kwd>
<kwd lng="pt"><![CDATA[ensino médio.]]></kwd>
<kwd lng="es"><![CDATA[Conocimiento especializado del profesor de matemáticas]]></kwd>
<kwd lng="es"><![CDATA[reflexión docente]]></kwd>
<kwd lng="es"><![CDATA[relación]]></kwd>
<kwd lng="es"><![CDATA[narrativas]]></kwd>
<kwd lng="es"><![CDATA[educación secundaria.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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