CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE

Detalhes bibliográficos
Autor(a) principal: Carraher, David William
Data de Publicação: 2012
Outros Autores: Schliemann, Analúcia Dias
Tipo de documento: Artigo
Idioma: por
Título da fonte: Psicologia (Universidade de Brasília. Online)
Texto Completo: https://periodicos.unb.br/index.php/revistaptp/article/view/17124
Resumo: Answers of 60 fifth graders to literal and relative versions ofproblems on fractions revealed a strong tendency to identify thenumerator as denoting literally the number of marked elements and thedenominator as denoting the total number of elements (literal version). Onthe whole students did not accept as valid descriptors of a fraction n/mfigures which did not include, literally, n marked elements in a total of m,even when the relationship between number of marked elements and totalnumber of elements was the same as that in n and m (relative version).Findings are discussed in terms of the concept of relative magnitude.
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spelling CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDEA compreensão de frações como magnitude relativaProblemasFraçõesMagnitude relativaProblemsFractionsRelative magnitudeAnswers of 60 fifth graders to literal and relative versions ofproblems on fractions revealed a strong tendency to identify thenumerator as denoting literally the number of marked elements and thedenominator as denoting the total number of elements (literal version). Onthe whole students did not accept as valid descriptors of a fraction n/mfigures which did not include, literally, n marked elements in a total of m,even when the relationship between number of marked elements and totalnumber of elements was the same as that in n and m (relative version).Findings are discussed in terms of the concept of relative magnitude.A análise das respostas dadas por 60 alunos de quinta série a problemas apresentados em duas versões (uma literal, outra relativa) revelou uma forte tendência a identificar o numerador e o denominador como indicando, respectivamente, o número de elementos marcados e o número total de elementos em um conjunto (versão literal). Em geral os alunos não aceitavam como válidas figuras que não preenchiam estes critérios, mesmo quando as figuras representavam frações equivalentes (versão relativa). Os resultados são discutidos em termo do conceito de magnitude relativa.Instituto de Psicologia - Universidade de Brasília2012-08-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/revistaptp/article/view/17124Psicologia: Teoria e Pesquisa; Vol. 8 No. 1: Revista Psicologia: teoria e pesquisa; 67-78Psicologia: Teoria e Pesquisa; Vol. 8 Núm. 1: Revista Psicologia: teoria e pesquisa; 67-78Psicologia: Teoria e Pesquisa; Vol. 8 No. 1: Revista Psicologia: teoria e pesquisa; 67-78Psicologia: Teoria e Pesquisa; v. 8 n. 1: Revista Psicologia: teoria e pesquisa; 67-781806-34460102-3772reponame:Psicologia (Universidade de Brasília. Online)instname:Universidade de Brasília (UnB)instacron:UNBporhttps://periodicos.unb.br/index.php/revistaptp/article/view/17124/15433https://periodicos.unb.br/index.php/revistaptp/article/view/17124/15610Carraher, David WilliamSchliemann, Analúcia Diasinfo:eu-repo/semantics/openAccess2018-10-16T18:18:46Zoai:ojs.pkp.sfu.ca:article/17124Revistahttps://periodicos.unb.br/index.php/revistaptp/indexPUBhttps://periodicos.unb.br/index.php/revistaptp/oairevistaptp@gmail.com1806-34460102-3772opendoar:2018-10-16T18:18:46Psicologia (Universidade de Brasília. Online) - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
A compreensão de frações como magnitude relativa
title CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
spellingShingle CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
Carraher, David William
Problemas
Frações
Magnitude relativa
Problems
Fractions
Relative magnitude
title_short CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
title_full CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
title_fullStr CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
title_full_unstemmed CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
title_sort CHILDRENS UNDERSTANDING OF FRACTIONS AS EXPRESSIONS OF RELATIVE MAGNITUDE
author Carraher, David William
author_facet Carraher, David William
Schliemann, Analúcia Dias
author_role author
author2 Schliemann, Analúcia Dias
author2_role author
dc.contributor.author.fl_str_mv Carraher, David William
Schliemann, Analúcia Dias
dc.subject.por.fl_str_mv Problemas
Frações
Magnitude relativa
Problems
Fractions
Relative magnitude
topic Problemas
Frações
Magnitude relativa
Problems
Fractions
Relative magnitude
description Answers of 60 fifth graders to literal and relative versions ofproblems on fractions revealed a strong tendency to identify thenumerator as denoting literally the number of marked elements and thedenominator as denoting the total number of elements (literal version). Onthe whole students did not accept as valid descriptors of a fraction n/mfigures which did not include, literally, n marked elements in a total of m,even when the relationship between number of marked elements and totalnumber of elements was the same as that in n and m (relative version).Findings are discussed in terms of the concept of relative magnitude.
publishDate 2012
dc.date.none.fl_str_mv 2012-08-21
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.unb.br/index.php/revistaptp/article/view/17124
url https://periodicos.unb.br/index.php/revistaptp/article/view/17124
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.unb.br/index.php/revistaptp/article/view/17124/15433
https://periodicos.unb.br/index.php/revistaptp/article/view/17124/15610
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto de Psicologia - Universidade de Brasília
publisher.none.fl_str_mv Instituto de Psicologia - Universidade de Brasília
dc.source.none.fl_str_mv Psicologia: Teoria e Pesquisa; Vol. 8 No. 1: Revista Psicologia: teoria e pesquisa; 67-78
Psicologia: Teoria e Pesquisa; Vol. 8 Núm. 1: Revista Psicologia: teoria e pesquisa; 67-78
Psicologia: Teoria e Pesquisa; Vol. 8 No. 1: Revista Psicologia: teoria e pesquisa; 67-78
Psicologia: Teoria e Pesquisa; v. 8 n. 1: Revista Psicologia: teoria e pesquisa; 67-78
1806-3446
0102-3772
reponame:Psicologia (Universidade de Brasília. Online)
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Psicologia (Universidade de Brasília. Online)
collection Psicologia (Universidade de Brasília. Online)
repository.name.fl_str_mv Psicologia (Universidade de Brasília. Online) - Universidade de Brasília (UnB)
repository.mail.fl_str_mv revistaptp@gmail.com
_version_ 1800211710872649728

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