<?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>1519-3993</journal-id>
<journal-title><![CDATA[Revista de Educação PUC-Campinas]]></journal-title>
<abbrev-journal-title><![CDATA[Educ. Puc.]]></abbrev-journal-title>
<issn>1519-3993</issn>
<publisher>
<publisher-name><![CDATA[Programa de Pós-Graduação em Educação da Pontifícia Universidade Católica de Campinas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1519-39932022000100105</article-id>
<article-id pub-id-type="doi">10.24220/2318-0870v27e2022a5615</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Cadernos de turma de Matemática da Educação de Jovens e Adultos: perspectivas do ensino de Álgebra]]></article-title>
<article-title xml:lang="en"><![CDATA[Adult and Youth Education Mathematics class notebook: perspectives of teaching algebra]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ferreira]]></surname>
<given-names><![CDATA[Ana Rafaela Correia]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vieira]]></surname>
<given-names><![CDATA[Guilherme Silva]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidade Federal de Minas Gerais Centro Pedagógico Programa de Pós-Graduação em Educação Conhecimento e Inclusão Social]]></institution>
<addr-line><![CDATA[Belo Horizonte MG]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidade Federal de Minas Gerais Faculdade de Educação Programa de Pós-Graduação em Educação e Docência]]></institution>
<addr-line><![CDATA[Belo Horizonte MG]]></addr-line>
<country>Brasil</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>27</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1519-39932022000100105&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1519-39932022000100105&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1519-39932022000100105&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Este artigo refere-se ao ensino de Álgebra na Educação de Jovens e Adultos do Projeto de Ensino Fundamental de Jovens e Adultos &#8211; 2° segmento do Centro Pedagógico da Universidade Federal de Minas Gerais. Buscamos refletir sobre como se deu o ensino de Álgebra em uma turma desse curso, ofertada no período de 2012 a 2014, por meio das práticas pedagógicas registradas pelos docentes. Para isso, tomamos como fonte os cadernos de turma da área de Matemática dos professores que atuaram nesses cursos. Estes cadernos são o meio pelo qual os professores descrevem suas aulas e as intervenções pedagógicas adotadas. É importante mencionar que os professores que atuam nesse curso são bolsistas, estudantes dos cursos de licenciatura, e são orientados por docentes da Universidade. Resultados apontam que a Aritmética e a Álgebra aparecem de forma inter-relacionada, demonstrando que o uso de sequências recursivas e não recursivas pode ser uma prática interessante para introduzir a Álgebra aos estudantes do projeto de Educação de Jovens e Adultos.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This article refers to the teaching of Algebra in Adult and Youth Education of the Young and Adult Elementary Education Project &#8211; 2nd segment of the Pedagogical Center of the Federal University of Minas Gerais. We want to think about how Algebra was taught in a class of this course, offered from 2012 to 2014, through the pedagogical practices recorded by the teachers. For this, we take as a source the class notebooks of the Mathematics area of the teachers who worked in these courses. These notebooks are the means through which teachers describe their classes and the pedagogical interventions adopted. It is important to mention that the teachers who work in these courses are scholarship holders, undergraduate students, and oriented by professors from the University. Results show that Arithmetic and Algebra appear interrelated way, demonstrating that the use of recursive and non-recursive sequences can be an interesting practice to introduce Algebra to Adult and Youth Education students.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Currículo]]></kwd>
<kwd lng="pt"><![CDATA[Ensino de Álgebra]]></kwd>
<kwd lng="pt"><![CDATA[Práticas de ensino]]></kwd>
<kwd lng="en"><![CDATA[Curriculum]]></kwd>
<kwd lng="en"><![CDATA[Teaching Algebra]]></kwd>
<kwd lng="en"><![CDATA[Teaching practices]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Almeida]]></surname>
<given-names><![CDATA[J. R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Álgebra Escolar na Contemporaneidade: uma discussão necessária]]></article-title>
<source><![CDATA[Revista de Educação Matemática e Tecnológica Iberoamericana, em Teia]]></source>
<year>2017</year>
<volume>8</volume>
<page-range>1-18</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Auarek]]></surname>
<given-names><![CDATA[W. A]]></given-names>
</name>
</person-group>
<source><![CDATA[Anais]]></source>
<year>2013</year>
<conf-name><![CDATA[ VII Congresso Ibero-americano de educação matemática]]></conf-name>
<conf-date>2013</conf-date>
<conf-loc>Montevidéu </conf-loc>
<publisher-loc><![CDATA[Montevidéu ]]></publisher-loc>
<publisher-name><![CDATA[Sociedad de Educación Matemática Uruguaya]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Blanton]]></surname>
<given-names><![CDATA[M. L]]></given-names>
</name>
<name>
<surname><![CDATA[Kaput]]></surname>
<given-names><![CDATA[J. J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Characterizing a classroom practice that promotes algebraic reasoning]]></article-title>
<source><![CDATA[Journal for Research in Mathematcs Education]]></source>
<year>2005</year>
<volume>40</volume>
<page-range>3-22</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<collab>Brasil</collab>
<source><![CDATA[Constituição da República Federativa do Brasil: promulgada em 5 de outubro de 1998]]></source>
<year>1988</year>
<publisher-loc><![CDATA[Brasília ]]></publisher-loc>
<publisher-name><![CDATA[Supremo Tribunal Federal]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<collab>Brasil</collab>
<source><![CDATA[Lei nº 9.424, de 24 de dezembro de 1996]]></source>
<year>1996</year>
<publisher-name><![CDATA[Diário Oficial da União]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<collab>Brasil. Ministério da Educação</collab>
<source><![CDATA[Base Nacional Comum Curricular]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Brasília ]]></publisher-loc>
<publisher-name><![CDATA[MEC]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Coelho]]></surname>
<given-names><![CDATA[F. U]]></given-names>
</name>
<name>
<surname><![CDATA[Aguiar]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A história da álgebra e o pensamento algébrico: correlações com ensino]]></article-title>
<source><![CDATA[Estudos Avançados]]></source>
<year>2018</year>
<volume>32</volume>
<numero>94</numero>
<issue>94</issue>
<page-range>171-86</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eugênio]]></surname>
<given-names><![CDATA[B. G]]></given-names>
</name>
</person-group>
<source><![CDATA[O currículo na educação de jovens e adultos: entre o formal e o cotidiano numa escola municipal em Belo Horizonte]]></source>
<year>2004</year>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Universidade Católica de Minas Gerais]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ferreira]]></surname>
<given-names><![CDATA[A. R. C]]></given-names>
</name>
</person-group>
<source><![CDATA[A Educação de pessoas jovens e adultas em Betim (MG), 1988-2007: perspectivas de educadores e professores de matemática]]></source>
<year>2016</year>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Universidade Federal de Minas Gerais]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ferreira]]></surname>
<given-names><![CDATA[A. R. C]]></given-names>
</name>
<name>
<surname><![CDATA[Oliveira]]></surname>
<given-names><![CDATA[I. R. R]]></given-names>
</name>
<name>
<surname><![CDATA[Mello]]></surname>
<given-names><![CDATA[P. G. L. S]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Ensino de Matemática na EJA em tempos de pandemia: contribuições para o planejamento a partir das ideias de Paulo Freire]]></article-title>
<source><![CDATA[Pedagogia em Ação]]></source>
<year>2021</year>
<volume>17</volume>
<page-range>160-75</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ferreira]]></surname>
<given-names><![CDATA[M. C. N]]></given-names>
</name>
<name>
<surname><![CDATA[Ribeiro]]></surname>
<given-names><![CDATA[A. J]]></given-names>
</name>
<name>
<surname><![CDATA[Ribeiro]]></surname>
<given-names><![CDATA[C. M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Álgebra nos anos iniciais do Ensino Fundamental: primeiras reflexões à luz de uma revisão de literatura]]></article-title>
<source><![CDATA[Educação e Fronteiras]]></source>
<year>2016</year>
<volume>6</volume>
<numero>17</numero>
<issue>17</issue>
<page-range>34-47</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ferreira]]></surname>
<given-names><![CDATA[M. C. N]]></given-names>
</name>
<name>
<surname><![CDATA[Ribeiro]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<name>
<surname><![CDATA[Ribeiro]]></surname>
<given-names><![CDATA[A. J]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Conhecimentos matemáticos para ensinar Álgebra nos anos iniciais do ensino fundamental]]></article-title>
<source><![CDATA[Zetetiké]]></source>
<year>2017</year>
<volume>25</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>496-514</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fonseca]]></surname>
<given-names><![CDATA[M. C. F. R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[O ensino da Matemática e a educação básica de Jovens e Adultos]]></article-title>
<source><![CDATA[Presença Pedagógica]]></source>
<year>1999</year>
<volume>5</volume>
<numero>27</numero>
<issue>27</issue>
<page-range>28-37</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fonseca]]></surname>
<given-names><![CDATA[M. C. F. R]]></given-names>
</name>
</person-group>
<source><![CDATA[Educação Matemática de Jovens e Adultos: especificidades, desafios e contribuições]]></source>
<year>2012</year>
<edition>3. ed</edition>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Autêntica Editora]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Freire]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
</person-group>
<source><![CDATA[Política e educação]]></source>
<year>2014</year>
<publisher-loc><![CDATA[São Paulo ]]></publisher-loc>
<publisher-name><![CDATA[Paz e Terra]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Garnica]]></surname>
<given-names><![CDATA[A. V. M]]></given-names>
</name>
<name>
<surname><![CDATA[Souza]]></surname>
<given-names><![CDATA[L. A]]></given-names>
</name>
</person-group>
<source><![CDATA[Elementos de história da educação matemática]]></source>
<year>2012</year>
<publisher-loc><![CDATA[São Paulo ]]></publisher-loc>
<publisher-name><![CDATA[Cultura Acadêmica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Haddad]]></surname>
<given-names><![CDATA[S]]></given-names>
</name>
<name>
<surname><![CDATA[Di Pierro]]></surname>
<given-names><![CDATA[M. C]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Escolarização de jovens e adultos]]></article-title>
<source><![CDATA[Revista Brasileira de Educação]]></source>
<year>2000</year>
<numero>14</numero>
<issue>14</issue>
<page-range>108-30</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Moreira]]></surname>
<given-names><![CDATA[G. K]]></given-names>
</name>
<name>
<surname><![CDATA[Nacarato]]></surname>
<given-names><![CDATA[A. M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[O desenvolvimento do pensamento algébrico de estudantes em início de escolarização]]></article-title>
<source><![CDATA[Realidad y Reflexión]]></source>
<year>2021</year>
<numero>53</numero>
<issue>53</issue>
<page-range>182-207</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Oliveira]]></surname>
<given-names><![CDATA[M. K]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Jovens e adultos como sujeitos de conhecimento e aprendizagem]]></article-title>
<source><![CDATA[Revista Brasileira de Educação]]></source>
<year>1999</year>
<volume>12</volume>
<page-range>59-73</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ponte]]></surname>
<given-names><![CDATA[J. P]]></given-names>
</name>
<name>
<surname><![CDATA[Branco]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<name>
<surname><![CDATA[Matos]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra no Ensino Básico]]></source>
<year>2009</year>
<publisher-loc><![CDATA[Portugal ]]></publisher-loc>
<publisher-name><![CDATA[Ministério da Educação]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[L. L. P]]></given-names>
</name>
<name>
<surname><![CDATA[Paraíso]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dicionário crítico da educação: Currículo]]></article-title>
<source><![CDATA[Revista Presença Pedagógica]]></source>
<year>1996</year>
<volume>2</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>5</page-range></nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[A. J]]></given-names>
</name>
</person-group>
<source><![CDATA[Na EJA tem J: juventudes na educação de jovens e adultos]]></source>
<year>2021</year>
<publisher-loc><![CDATA[Curitiba ]]></publisher-loc>
<publisher-name><![CDATA[Editora Appris]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[C. B]]></given-names>
</name>
</person-group>
<source><![CDATA[Introdução a Álgebra no Ensino Fundamental: o &#8220;x&#8221; da questão]]></source>
<year>2016</year>
<publisher-name><![CDATA[Universidade Estadual Paulista &#8220;Júlio de Mesquita Filho&#8221;]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[T. T]]></given-names>
</name>
</person-group>
<source><![CDATA[Documentos de identidade: uma introdução às teorias do currículo]]></source>
<year>2005</year>
<edition>2. ed</edition>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Autêntica Editora]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="book">
<collab>Universidade Federal de Minas Gerais. Centro Pedagógico</collab>
<source><![CDATA[Caderno de turma Continuidade]]></source>
<year>2013</year>
<volume>1</volume>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[UFMG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="book">
<collab>Universidade Federal de Minas Gerais. Centro Pedagógico</collab>
<source><![CDATA[Caderno de turma Concluintes]]></source>
<year>2014</year>
<volume>1</volume>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[UFMG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Usiskin]]></surname>
<given-names><![CDATA[Z]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Concepções sobre a álgebra da escola média e utilizações das variáveis]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Coxford]]></surname>
<given-names><![CDATA[A. F]]></given-names>
</name>
<name>
<surname><![CDATA[Shulte]]></surname>
<given-names><![CDATA[A. P]]></given-names>
</name>
</person-group>
<source><![CDATA[As ideias da Álgebra]]></source>
<year>1995</year>
<publisher-loc><![CDATA[São Paulo ]]></publisher-loc>
<publisher-name><![CDATA[Atual]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
