<?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>1516-7313</journal-id>
<journal-title><![CDATA[Ciência & Educação (Bauru)]]></journal-title>
<abbrev-journal-title><![CDATA[Ciênc. educ. (Bauru)]]></abbrev-journal-title>
<issn>1516-7313</issn>
<publisher>
<publisher-name><![CDATA[Universidade Estadual Paulista (UNESP)]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1516-73132018000100209</article-id>
<article-id pub-id-type="doi">10.1590/1516-731320180010014</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[John Dewey e os embates sobre a psicologia do número]]></article-title>
<article-title xml:lang="en"><![CDATA[John Dewey and the disputes over the psychology of number]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rabelo]]></surname>
<given-names><![CDATA[Rafaela Silva]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade de São Paulo  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2018</year>
</pub-date>
<volume>24</volume>
<numero>1</numero>
<fpage>209</fpage>
<lpage>223</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1516-73132018000100209&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1516-73132018000100209&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1516-73132018000100209&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: O presente artigo teve como foco as representa&#231;&#245;es de John Dewey acerca da educa&#231;&#227;o matem&#225;tica. Especificamente, teve como objetivo explorar as representa&#231;&#245;es de Dewey sobre o ensino de aritm&#233;tica e o conceito de n&#250;mero, com base em textos que escreveu ap&#243;s a publica&#231;&#227;o do manual The psychology of number (TPN), do qual foi coautor. Subsidiaram a an&#225;lise duas cartas de Dewey em resposta a cr&#237;ticas feitas ao TPN e uma resenha. Alguns dos conceitos mobilizados foram representa&#231;&#227;o, campo e lugar social/institucional, com base em Roger Chartier, Michel de Certeau e Pierre Bourdieu. Ficaram evidentes as disputas entre campos, principalmente entre psicologia e matem&#225;tica, na determina&#231;&#227;o de quem possui legitimidade para arbitrar sobre o ensino de aritm&#233;tica. Tamb&#233;m transparecem representa&#231;&#245;es de Dewey acerca da educa&#231;&#227;o matem&#225;tica, sendo que ele reiterou algumas posi&#231;&#245;es presentes no TPN, como a natureza ps&#237;quica do n&#250;mero e a rela&#231;&#227;o com os conceitos de medida e raz&#227;o.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This paper focused on John Dewey's representations about mathematics education. Specifically, the objective was to explore Dewey's representations about the teaching of arithmetic and the number concept, based on texts he wrote after publishing the handbook The psychology of number (TPN) as a coauthor. Some of the sources were two letters written by Dewey, answering critics made of the TPN, and a review. The analysis was based on such concepts as representation, field, and social/institutional place, according to theorists as Roger Chartier, Michel de Certeau and Pierre Bourdieu. It is evident that the disputes between the fields, mainly of psychology and mathematics, concern the determination of who owns legitimacy to deliberate about the teaching of arithmetic. It is also possible to notice Dewey's representations about mathematics education, as he reiterates some aspects present in the TPN such as the psychical nature of number and the relation with the ideas of measurement and ratio.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Educação matemática]]></kwd>
<kwd lng="pt"><![CDATA[Conceitos]]></kwd>
<kwd lng="pt"><![CDATA[John Dewey]]></kwd>
<kwd lng="pt"><![CDATA[Psicologia do número]]></kwd>
<kwd lng="pt"><![CDATA[Ensino de aritmética]]></kwd>
<kwd lng="en"><![CDATA[Mathematics education]]></kwd>
<kwd lng="en"><![CDATA[Concepts]]></kwd>
<kwd lng="en"><![CDATA[John Dewey]]></kwd>
<kwd lng="en"><![CDATA[Psychology of number]]></kwd>
<kwd lng="en"><![CDATA[Arithmetics teaching]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="">
<collab>AMERICAN MATHEMATICAL SOCIETY</collab>
<collab>AMERICAN MATHEMATICAL SOCIETY</collab>
<source><![CDATA[Levi L. Conant prize]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[BOURDIEU]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[O campo científico]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[ORTIZ]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Pierre Bourdieu</strong>: sociologia]]></source>
<year></year>
<publisher-loc><![CDATA[São Paulo ]]></publisher-loc>
<publisher-name><![CDATA[Ática]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[BOURDIEU]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Questões de sociologia]]></source>
<year></year>
<publisher-loc><![CDATA[Rio de Janeiro ]]></publisher-loc>
<publisher-name><![CDATA[Marco Zero]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[CERTEAU]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Hist&#243;ria e psican&#225;lise</strong>: entre ci&#234;ncia e fic&#231;&#227;o]]></source>
<year></year>
<edition>2. ed</edition>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Autêntica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[CHARTIER]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>A hist&#243;ria cultural</strong>: entre pr&#225;ticas e representa&#231;&#245;es]]></source>
<year></year>
<publisher-loc><![CDATA[Rio de Janeiro ]]></publisher-loc>
<publisher-name><![CDATA[Bertrand Brasil]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[CHARTIER]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[A história ou a leitura do tempo]]></source>
<year></year>
<publisher-loc><![CDATA[Belo Horizonte ]]></publisher-loc>
<publisher-name><![CDATA[Autêntica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[CONANT]]></surname>
<given-names><![CDATA[L. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>The number concept</strong>: its origin and development]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DALTON]]></surname>
<given-names><![CDATA[T. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Becoming John Dewey</strong>: dilemmas of a philosopher and naturalist]]></source>
<year></year>
<publisher-loc><![CDATA[Bloomington ]]></publisher-loc>
<publisher-name><![CDATA[Indiana University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Democracy and education</strong>: an introduction to the philosophy of education]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Experience and education]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Psychology]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Harper]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Psychology of number]]></article-title>
<source><![CDATA[Science]]></source>
<year></year>
<volume>3</volume>
<numero>60</numero>
<issue>60</issue>
<page-range>286-89</page-range><publisher-loc><![CDATA[Washington ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Review of the number concept: its origin and development]]></article-title>
<source><![CDATA[Psychological Review]]></source>
<year></year>
<volume>3</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>326-29</page-range><publisher-loc><![CDATA[Washington ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Some remarks on the psychology of number]]></article-title>
<source><![CDATA[Pedagogical Seminary]]></source>
<year></year>
<volume>5</volume>
<page-range>426-34</page-range><publisher-loc><![CDATA[Philadelphia ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="">
<article-title xml:lang="en"><![CDATA[ESPACIO, TIEMPO Y EDUCACIÓN]]></article-title>
<source><![CDATA[<strong>Salamanca</strong>: FahrenHouse]]></source>
<year></year>
<volume>3</volume>
<numero>2</numero>
<issue>2</issue>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[FALLACE]]></surname>
<given-names><![CDATA[T. D.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Dewey and the dilemma of race</strong>: an intellectual history]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Teachers College Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[FINE]]></surname>
<given-names><![CDATA[H. B.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[The psychology of number and its applications to methods of teaching arithmetic: by James A. McLellan, A. M., Ll.D., and John Dewey, Ph. D]]></article-title>
<source><![CDATA[Science]]></source>
<year></year>
<volume>3</volume>
<numero>56</numero>
<issue>56</issue>
<page-range>134-36</page-range><publisher-loc><![CDATA[Washington ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<article-title xml:lang="en"><![CDATA[HENRY Burchard Fine]]></article-title>
<source><![CDATA[Science]]></source>
<year></year>
<volume>69</volume>
<numero>1780</numero>
<issue>1780</issue>
<page-range>150-51</page-range><publisher-loc><![CDATA[Washington ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[HICKMAN]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>The correspondence of John Dewey, 1871-1952 (I-IV)</strong>: electronic edition]]></source>
<year></year>
<publisher-loc><![CDATA[Charlottesville ]]></publisher-loc>
<publisher-name><![CDATA[InteLex]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[LAWN]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Um conhecimento complexo: o historiador da educação e as circulações transfronteiriças]]></article-title>
<source><![CDATA[Revista Brasileira de História da Educação]]></source>
<year></year>
<volume>14</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>127-44</page-range><publisher-loc><![CDATA[Maringá ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[MARTIN]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>The education of John Dewey</strong>: a biography]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Columbia University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[MCLELLAN]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Applied psychology</strong>: an introduction to the principles and practice of education]]></source>
<year></year>
<publisher-loc><![CDATA[Toronto ]]></publisher-loc>
<publisher-name><![CDATA[The Copp, Clark Company]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[MCLELLAN]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[DEWEY]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[The psychology of number and its applications to methods of teaching arithmetic]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[D. Appleton]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[PHILLIPS]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Number and its application psychologically considered]]></article-title>
<source><![CDATA[Pedagogical Seminary]]></source>
<year></year>
<volume>5</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>221-81</page-range><publisher-loc><![CDATA[Worcester ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[PHILLIPS]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Some remarks on number and its application]]></article-title>
<source><![CDATA[Pedagogical Seminary]]></source>
<year></year>
<volume>5</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>590-98</page-range><publisher-loc><![CDATA[Worcester ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[POPKEWITZ]]></surname>
<given-names><![CDATA[T. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Inventing the modern self and John Dewey]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Macmillan]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[RABELO]]></surname>
<given-names><![CDATA[R. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Destinos e trajetos</strong>: Edward Lee Thorndike e John Dewey na forma&#231;&#227;o matem&#225;tica do professor prim&#225;rio no Brasil (1920-1960)]]></source>
<year></year>
<publisher-loc><![CDATA[São Paulo ]]></publisher-loc>
<publisher-name><![CDATA[Universidade de São Paulo]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[RABELO]]></surname>
<given-names><![CDATA[R. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[O livro "The psychology of number" de McLellan e Dewey]]></article-title>
<source><![CDATA[Anais...]]></source>
<year></year>
<conf-name><![CDATA[ CONGRESO IBEROAMERICANO DE HISTORIA DE LA EDUCACIÓN LATINOAMERICANA, 11.]]></conf-name>
<conf-date>2014</conf-date>
<conf-loc>Toluca, México </conf-loc>
<publisher-loc><![CDATA[Toluca ]]></publisher-loc>
<publisher-name><![CDATA[El Colegio Mexiquense]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[SCHIRIEWER]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[BRUNO-JOFRÉ]]></surname>
<given-names><![CDATA[R. C.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>The global reception of John Dewey's thought</strong>: multiple refractions through time and space]]></source>
<year></year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Roudledge]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[STEMHAGEN]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[<strong>Beyond absolutism and constructivism</strong>: the case for an evolutionary philosophy of mathematics education]]></source>
<year></year>
<publisher-loc><![CDATA[Charlottesville ]]></publisher-loc>
<publisher-name><![CDATA[University of Virginia]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[VEBLEN]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Henry Burchard Fine: in memoriam]]></article-title>
<source><![CDATA[Bulletin of the American Mathematical Society]]></source>
<year></year>
<volume>35</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>726-30</page-range><publisher-loc><![CDATA[Lancaster ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="">
<collab>WORCESTER POLYTECHNIC INSTITUTE</collab>
<collab>WORCESTER POLYTECHNIC INSTITUTE</collab>
<source><![CDATA[2014 Levi L. Conant lecture series]]></source>
<year></year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
