<?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>2236-3459</journal-id>
<journal-title><![CDATA[História da Educação]]></journal-title>
<abbrev-journal-title><![CDATA[Hist. Educ.]]></abbrev-journal-title>
<issn>2236-3459</issn>
<publisher>
<publisher-name><![CDATA[Associação Sul-Rio-Grandense de Pesquisadores em História da Educação]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2236-34592021000100408</article-id>
<article-id pub-id-type="doi">10.1590/2236-3459/102348</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[EQUIDIFFERENÇA E PROPORÇÃO: QUAL A RELAÇÃO DESTES CONTEÚDOS COM O ENSINO DE ÁLGEBRA NA INSTRUÇÃO ELEMENTAR DO FINAL DO SÉCULO XIX E INÍCIO DO SÉCULO XX?]]></article-title>
<article-title xml:lang="es"><![CDATA[EQUIDIFERENCIA Y PROPORCIÓN: ¿CUÁL ES LA RELACIÓN DE ESTOS CONTENIDOS CON LA ENSEÑANZA DEL ÁLGEBRA EN LA INSTRUCCIÓN PRIMARIA DEL FINAL DEL SIGLO XIX Y EL INICIO DEL SIGLO XX?]]></article-title>
<article-title xml:lang="en"><![CDATA[EQUIDIFFERENCE AND PROPORTION: WHAT ISTHERELATIONOF THESE CONTENTS TO THE TEACHING OF ALGEBRA IN ELEMENTARY EDUCATION IN THE END OF THE 19TH CENTURY AND BEGINING OF THE 20TH CENTURY?]]></article-title>
<article-title xml:lang="fr"><![CDATA[ÉQUIDIFFÉRENCE ET PROPORTION: QUELLE EST LA RELATION DE CES CONTENUS AVEC L'ENSEIGNEMENT DE L'ALGÈBRE DANS L'INSTRUCTION ÉLÉMENTAIRE DE LA FIN DU XIXE. SIÈCLE ET DU DÉBUT DU XXE. SIÈCLE?]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodriguês]]></surname>
<given-names><![CDATA[Jeremias Stein]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Costa]]></surname>
<given-names><![CDATA[David Antonio da]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Federal de Santa Catarina  ]]></institution>
<addr-line><![CDATA[Florianópolis SC]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidade Federal de Santa Catarina  ]]></institution>
<addr-line><![CDATA[Florianópolis SC]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<volume>25</volume>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S2236-34592021000100408&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S2236-34592021000100408&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S2236-34592021000100408&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Este texto problematiza relações do ensino de equidifferença e proporção com outros conteúdos no ensino elementar. A partir de base teórico metodológica da história cultural foram analisados livros didáticos do final do século XIX e início do século XX e dois relatórios estadunidenses. Observou-se a relação destes conteúdos com o tema de progressões e saberes algébricos, sem que estes se estabelecessem como uma preparação para a abordagem da Álgebra no ensino secundário.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen Este texto problematiza las relaciones entre la enseñanza de la equidifferencia y la proporción con otros contenidos en educación primaria. Com la base teórica y metodológica de la historia cultural, se analizaron libros de texto de finales del siglo XIX y principios del siglo XX y de los informes estadounidenses. Se observó la relación de estos contenidos con el tema de las progresiones y el conocimiento algebraico, sin que estos se establecen como una preparación para el enfoque de la álgebra en la educación secundaria.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This text problematizes the relations between the teaching of equidifference and proportion with other contents of the elementary education. From the theoretical and methodological basis of cultural history, textbooks from the late 19th and early 20th centuries and two American reports were analyzed. The relation of these contents with progressions and algebraic knowledge was observed, without these being established as a preparation for the approach to Algebra in secondary education.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[Résumé Ce texte problématise la relation entre l'enseignement de l'équidiférence et la proportion avec les autres contenus de l'enseignement élémentaire. Les manuels scolaires de la fin du XIXe siècle et du début du XXe siècle, ainsi que deux rapports américains, ont été analyses d'un point de vue théorique et méthodologique de l'histoire culturelle. On peut voir la relation de ces contenus avec le thème des progressions et des connaissances algébriques, sans ces s'imposer comme une préparation pour approche l'Algèbre dans l'éducation secondaire.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[ensino de álgebra]]></kwd>
<kwd lng="pt"><![CDATA[história da educação matemática]]></kwd>
<kwd lng="pt"><![CDATA[resolução de equações]]></kwd>
<kwd lng="pt"><![CDATA[livro didático]]></kwd>
<kwd lng="es"><![CDATA[enseñanza de álgebra]]></kwd>
<kwd lng="es"><![CDATA[historia de la educación matemática]]></kwd>
<kwd lng="es"><![CDATA[resolución de ecuaciones]]></kwd>
<kwd lng="es"><![CDATA[libro didáctico]]></kwd>
<kwd lng="en"><![CDATA[algebra teaching]]></kwd>
<kwd lng="en"><![CDATA[history of mathematics education]]></kwd>
<kwd lng="en"><![CDATA[equation&#8217;s solving]]></kwd>
<kwd lng="en"><![CDATA[textbook]]></kwd>
<kwd lng="fr"><![CDATA[enseignement de l'Algèbre]]></kwd>
<kwd lng="fr"><![CDATA[histoire de l'enseignement des mathématiques]]></kwd>
<kwd lng="fr"><![CDATA[résolution d'équations]]></kwd>
<kwd lng="fr"><![CDATA[manuel scolaire]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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