<?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>1665-2436</journal-id>
<journal-title><![CDATA[Revista latinoamericana de investigación en matemática educativa]]></journal-title>
<abbrev-journal-title><![CDATA[Relime]]></abbrev-journal-title>
<issn>1665-2436</issn>
<publisher>
<publisher-name><![CDATA[Comité Latinoamericano de Matemática Educativa A.C.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-24362022000200197</article-id>
<article-id pub-id-type="doi">10.12802/relime.22.2523</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Tercer espacio: Modelo de Tareas Matemáticas con Responsabilidad Cultural desde el contexto indígena]]></article-title>
<article-title xml:lang="en"><![CDATA[Third Space: Model of Mathematical Tasks with Cultural Responsibility from the indigenous contexts]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Huencho]]></surname>
<given-names><![CDATA[Anahí]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Chandía]]></surname>
<given-names><![CDATA[Eugenio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rojas]]></surname>
<given-names><![CDATA[Francisco]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Williamson]]></surname>
<given-names><![CDATA[Guillermo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Católica de Temuco Facultad de Educación ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Concepción Facultad de Educación ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Autónoma de Barcelona Facultad de Ciencias de la Educación ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Spain</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de la Frontera Facultad de Educación ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Chile</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2022</year>
</pub-date>
<volume>25</volume>
<numero>2</numero>
<fpage>197</fpage>
<lpage>222</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-24362022000200197&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-24362022000200197&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-24362022000200197&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La enseñanza de las matemáticas en contextos indígenas suele desconocer el conocimiento matemático y los estilos de enseñanza de las comunidades, posicionando el dominio escolar occidental. Las consecuencias de esto ameritan formular una propuesta que se levante desde los pueblos indígenas, por lo que esta investigación construye un modelo de tareas matemáticas con responsabilidad cultural (TMRC) desde el contexto mapuche en tres territorios indígenas de Chile y sus respectivas escuelas. El trabajo con cada establecimiento y su contexto familiar, se realiza bajo los ciclos de investigación y el proceso de investigación de acción participativa, desde donde se configura un modelo de TMRC con artefactos matemáticos, objetivos, actividades y gestión de clase como estructuras fundantes de un tercer espacio integrado de forma dialógica paralela entre la cultura local y la escolar.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The mathematics teaching in indigenous contexts often ignores the mathematical knowledge and teaching styles of the communities, positioning the western school domain. The consequences of this, merit formulating a proposal that is raised from indigenous peoples, so this research builds a model of mathematical tasks with cultural responsibility (MTCR) from the Mapuche context in three indigenous territories of Chile and their respective schools. The work with each establishment and its family context is carried out under the research cycles and the participatory action research process, from which a modelo MTCR is configured with mathematical artifacts, objectives, activities and class management as a founding structures of a third space integrated in a parallel dialogical way between local and school culture.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo O ensino das matemáticas em contextos indígenas desconhece, em geral, o conhecimento matemático e os estilos de ensino das comunidades, posicionando o domínio escolar ocidental. As consequências de esta questão levam a formular uma proposta que se levante dos povos indígenas, por isso esta pesquisa construiu-o o modelo de tarefas matemáticas com responsabilidade cultural (TMRC) no e do contexto mapuche em três territórios indígenas do Chile e as suas respectivas escolas. O trabalho com cada estabelecimento e o seu contexto familiar, realiza-se sob os ciclos de pesquisa e o processo de pesquisa ação participativa, a partir da qual se configura um modelo de TMRC com artefatos matemáticos, objetivos, atividades e gestão de aula como estruturas fundantes de um terceiro espaço integrado de forma dialógica paralela entre a cultura local e a escolar.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[Résumé Dans les communautés Mapuche du Chili, l&#8217;enseignement des mathematiques suit le traitement habituel indiqué par les programme d&#8217;enseignement du pays, donc les connaissances mathématiques et les styles d&#8217;enseignement propres à la culture mapuche, ils sont normalement ignorés. Les conséquences que cela entraîne, méritent une reformulation de l&#8217;enseignement, tenant compte des aspects ethniques. Cette recherche présente un modèle de tâches mathématiques, qui prend en compte la culture propre des communautés mapuches (TMRC). L&#8217;expérimentation a été réalisée dans des écoles primaires, de trois territoires mapuches. Ont été utilisés le cadre &#8220;des cycles de recherche&#8221; et du &#8220;processus de recherche d&#8217;action participative&#8221;, pour construire un modèle de TMRC avec des artefacts mathématiques, objectifs, activités et gestion de classe, comme structures fondatrices d&#8217;un troisième espace, intégrant ainsi la culture locale et la culture scolaire.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Tarea Matemática]]></kwd>
<kwd lng="es"><![CDATA[Responsabilidad Cultural]]></kwd>
<kwd lng="es"><![CDATA[Tercer Espacio]]></kwd>
<kwd lng="es"><![CDATA[Modelo]]></kwd>
<kwd lng="en"><![CDATA[Mathematical Tasks]]></kwd>
<kwd lng="en"><![CDATA[Cultural Responsibility]]></kwd>
<kwd lng="en"><![CDATA[Third Space]]></kwd>
<kwd lng="en"><![CDATA[Model]]></kwd>
<kwd lng="pt"><![CDATA[Tarefa Matemática]]></kwd>
<kwd lng="pt"><![CDATA[Responsabilidade Cultural]]></kwd>
<kwd lng="pt"><![CDATA[Terceiro Espaço]]></kwd>
<kwd lng="pt"><![CDATA[Modelo]]></kwd>
<kwd lng="fr"><![CDATA[Tâche Mathématique]]></kwd>
<kwd lng="fr"><![CDATA[Responsabilité Culturelle]]></kwd>
<kwd lng="fr"><![CDATA[Troisième Espace]]></kwd>
<kwd lng="fr"><![CDATA[Modèle]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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