<?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]]></journal-title>
<abbrev-journal-title><![CDATA[Ciência educ.]]></abbrev-journal-title>
<issn>1516-7313</issn>
<publisher>
<publisher-name><![CDATA[Universidade Estadual Paulista (UNESP)]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1516-73132019000401081</article-id>
<article-id pub-id-type="doi">10.1590/1516-731320190040015</article-id>
<title-group>
<article-title xml:lang="pt"><![CDATA[Estudo das historiografias de Paul Karlson, Konstantin Ríbnikov, Howard Eves e Bento de Jesus Caraça: diferentes modos de ver e conceber o conceito de função]]></article-title>
<article-title xml:lang="en"><![CDATA[The study of the historiographies by Paul Karlson, Konstantin Ríbnikov, Howard Eves and Bento de Jesus Caraça: different ways of looking at and conceiving the concept of function]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sousa]]></surname>
<given-names><![CDATA[Maria do Carmo de]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Moura]]></surname>
<given-names><![CDATA[Manoel Oriosvaldo de]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidade Federal de São Carlos (UFSCar) Centro de Educação e Ciências Humanas (CECH) Departamento de Metodologia de Ensino (DME)]]></institution>
<addr-line><![CDATA[São Carlos SP]]></addr-line>
<country>Brasil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidade de São Paulo (USP) Faculdade de Educação Departamento de Metodologia do Ensino e Educação Comparada]]></institution>
<addr-line><![CDATA[São Paulo SP]]></addr-line>
<country>Brasil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2019</year>
</pub-date>
<volume>25</volume>
<numero>4</numero>
<fpage>1081</fpage>
<lpage>1099</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_arttext&amp;pid=S1516-73132019000401081&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_abstract&amp;pid=S1516-73132019000401081&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://educa.fcc.org.br/scielo.php?script=sci_pdf&amp;pid=S1516-73132019000401081&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo: Este artigo tem como objetivo apresentar parte dos estudos que foram feitos sobre as historiografias escritas pelos autores Paul Karlson, Konstantin Ríbnikov, Howard Eves e Bento de Jesus Caraça. Destacaram-se os modos de ver e conceber o conceito de função dos quatro autores. Tais estudos fazem parte de uma pesquisa de cunho teórico, caracterizada como documental e qualitativa. Consideram que as vertentes historiográficas da História da Matemática descrevem o lógico de fatos históricos que ocorreram em diversos contextos, em determinados tempos e espaços, os quais são sistematizados, de tempos em tempos. Pressupõem-se que, se as historiografias da Matemática abordam a história do conhecimento dos conceitos matemáticos, ao estudá-las, especialmente, aqueles que ensinam Matemática podem delinear alguns nexos conceituais (internos e externos) que compõem os conceitos. No caso do conceito de função, destacam-se os nexos: movimentos irregulares e regulares, interdependência, variação, campo de variação, relações e representações.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: This article aims to present some of the studies that have been done on the historiographies written by Paul Karlson, Konstantin Ríbnikov, Howard Eves and Bento de Jesus Caraça. The ways of looking at and conceiving the concept of function by those authors is underscored. These studies are part of theoretical research, characterized as documentary and qualitative. They consider that the historiographical aspects of the History of Mathematics describe the logic of infinite historical facts that occurred in diverse contexts, at certain times and spaces, which are systematized, from time to time. It is assumed that if the historiographies of Mathematics address the history of the knowledge of mathematical concepts, while studying them, especially those who teach mathematics can delineate some conceptual links (internal and external) that make up the concepts. In the case of the concept of function, the following are the nexuses: irregular and regular movements, interdependence, variation, field of variation, relations and representations.]]></p></abstract>
<kwd-group>
<kwd lng="pt"><![CDATA[Movimentos lógico-históricos]]></kwd>
<kwd lng="pt"><![CDATA[Nexos conceituais]]></kwd>
<kwd lng="pt"><![CDATA[Conceito de função]]></kwd>
<kwd lng="pt"><![CDATA[História da matemática]]></kwd>
<kwd lng="pt"><![CDATA[Ensino de função]]></kwd>
<kwd lng="en"><![CDATA[Logical-historical movements]]></kwd>
<kwd lng="en"><![CDATA[Conceptual links]]></kwd>
<kwd lng="en"><![CDATA[Concept of function]]></kwd>
<kwd lng="en"><![CDATA[Historiographies of mathematics]]></kwd>
<kwd lng="en"><![CDATA[Teaching the concept of function]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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