<?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>1982-9949</journal-id>
<journal-title><![CDATA[Reflexão e Ação]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Reflex]]></abbrev-journal-title>
<issn>1982-9949</issn>
<publisher>
<publisher-name><![CDATA[Editora da Universidade de Santa Cruz do Sul - EDUNISC]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1982-99492020000100235</article-id>
<article-id pub-id-type="doi">10.17058/rea.v28i1.9870</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Modelagem (matemática) e modelagem na educação: reflexos na e da formação continuada]]></article-title>
<article-title xml:lang="en"><![CDATA[Modelling (mathematics) and modelación in education: reflections on and continuing training]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelación (matemática) y modelación en la educación: reflejos en la formación continuada]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bonotto]]></surname>
<given-names><![CDATA[Danusa de Lara]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Scheller]]></surname>
<given-names><![CDATA[Morgana]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lima]]></surname>
<given-names><![CDATA[Valderez Marina do Rosário]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade Federal da Fronteira Sul  ]]></institution>
<addr-line><![CDATA[Cerro Largo ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Federal Catarinense  ]]></institution>
<addr-line><![CDATA[Campus Rio do Sul SC]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Pontifícia Universidade Católica do Rio Grande do Sul  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>01</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>01</month>
<year>2020</year>
</pub-date>
<volume>28</volume>
<numero>1</numero>
<fpage>235</fpage>
<lpage>253</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1982-99492020000100235&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1982-99492020000100235&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1982-99492020000100235&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[RESUMO Este artigo relata a experiência do desenvolvimento de uma tarefa de Modelagem (Matemática) realizada com um grupo de professores de Matemática e sua projeção para a sala de aula a partir dos reflexos na e da formação continuada. Decorrente das reflexões na formação, a tarefa desencadeou novas atividades investigativas e favoreceu a inserção da Modelagem na sala de aula para explorar dois conceitos destaques da Matemática: razão e proporcionalidade por meio do conceito de densidade. Os resultados indicam a avaliação positiva referente à tarefa desenvolvida e projeção de inserção de novas práticas de Modelagem (Matemática) pelos docentes à ação docente, ampliando assim a utilização da Modelagem na Educação no fazer do professor. No entanto, assinalam preocupação com o cumprimento das prescrições, dentre essas, os conteúdos programáticos que constam na matriz curricular de Matemática. Em relação aos estudantes que vivenciaram a tarefa implementada por uma das professoras, estes (re)organizaram as representações textualizadas inicialmente e significaram o conceito de densidade ao expressarem, verbalmente, o modelo matemático. O fizeram para realizar seu cálculo e ao utilizar o conceito para realizar argumentações durante o desenvolvimento da tarefa.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT This article reports an experience of the development of a task of Modeling (Mathematics) and its projection to the classroom from the reflexes in and the continued formation. From the reflections in the training, the task triggered new research activities and favored the insertion of Modeling in the classroom to explore two main concepts of Mathematics: reason and proportionality through the concept of density.The results indicate the positive evaluation regarding the task developed and projection of the insertion of new practices of Modeling (Mathematics) by the teachers to the teaching action, thus increasing the use of Modeling in Education in the teacher's doing.However, they indicate concern about the fulfillment of the prescriptions, among them, the programmatic contents that are included in the Mathematics curriculum matrix. In relation to the students who experienced the task implemented by one of the teachers, they (re) organized the representations initially textualized and signified the concept of density by verbally expressing the mathematical model. They did so to perform their calculation and to use the concept to make arguments during the development of the task.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN Este artículo relata una experiencia del desarrollo de una tarea de Modelación (Matemática) y su proyección para el aula a partir de los reflejos en y de la formación continuada. A partir de las reflexiones en la formación, la tarea desencadenó nuevas actividades investigativas y favoreció la inserción del Modelaje en el aula para explorar dos conceptos destaques de la Matemática: razón y proporcionalidad por medio del concepto de densidad. Los resultados indican la evaluación positiva referente a la tarea desarrollada y proyección de inserción de nuevas prácticas de Modelado (Matemática) por los docentes a la acción docente, ampliando así la utilización de Modelado en la Educación en el hacer del profesor. Sin embargo, señalan preocupación por el cumplimiento de las prescripciones, entre ellas, los contenidos de la matriz curricular de Matemáticas. En cuanto a los estudiantes que vivenciaron la tarea hecha por una de las profesoras, éstos (re) organizaron las representaciones iniciales y significaron el concepto de densidad al expresar, verbalmente, el modelo matemático. Lo hicieron para ejecutar su cálculo y al usar el concepto para hacer argumentaciones en el momento del desarrollo de latarea.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Professor que ensina Matemática]]></kwd>
<kwd lng="pt"><![CDATA[Formação continuada de professores]]></kwd>
<kwd lng="pt"><![CDATA[Razão e proporção.]]></kwd>
<kwd lng="en"><![CDATA[Teacher who teaches Mathematics]]></kwd>
<kwd lng="en"><![CDATA[Continuing education of teachers]]></kwd>
<kwd lng="en"><![CDATA[Reason and proportion.]]></kwd>
<kwd lng="es"><![CDATA[Profesor que enseña Matemáticas]]></kwd>
<kwd lng="es"><![CDATA[Formación de profesores]]></kwd>
<kwd lng="es"><![CDATA[Razón y proporción.]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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