Division and rational numbers: research review and analysis

Detalhes bibliográficos
Autor(a) principal: Fávero, Maria Helena
Data de Publicação: 2012
Outros Autores: Neves, Regina da Silva Pina
Tipo de documento: Artigo
Idioma: por
Título da fonte: Zetetiké (Online)
Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646635
Resumo: Official reports in Brazil reveal poor school performance in tasks involving division andrational numbers. We analyse 65 such studies, published between 1999 and 2010. Those regardingproblem solving are traditional studies with interviews about strategies, and the predominantinterventions involve control and experimental groups with pre and post tests. Both refer to conceptualfields (Vergnaud, 1990), to records of semiotic representation (Duval,1993) and to the sub-constructs ofrational numbers (Kieren, 1988). They agree on the importance of understanding the logic of thedecimal number system in order to grasp the logic of the division algorithm and rational numbers, onthe classroom predominance of exposition and rules to the detriment of concepts, and on theimportance of the teacher. It is proposed a model based on the analysis of cognitive regulations,including an analysis of the communicative processes, and taking into account the DevelopmentalPsychology of both the teacher and the student.
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spelling Division and rational numbers: research review and analysis A divisão e os racionais: revisão bibliográfica e análiseDivisãoNúmeros racionaisSistema numérico decimalRegulações cognitivasProcessos comunicacionaisDivisionRational numbersDecimal number system Cognitive regulationsCommunicative processesOfficial reports in Brazil reveal poor school performance in tasks involving division andrational numbers. We analyse 65 such studies, published between 1999 and 2010. Those regardingproblem solving are traditional studies with interviews about strategies, and the predominantinterventions involve control and experimental groups with pre and post tests. Both refer to conceptualfields (Vergnaud, 1990), to records of semiotic representation (Duval,1993) and to the sub-constructs ofrational numbers (Kieren, 1988). They agree on the importance of understanding the logic of thedecimal number system in order to grasp the logic of the division algorithm and rational numbers, onthe classroom predominance of exposition and rules to the detriment of concepts, and on theimportance of the teacher. It is proposed a model based on the analysis of cognitive regulations,including an analysis of the communicative processes, and taking into account the DevelopmentalPsychology of both the teacher and the student.Relatórios oficiais no Brasil apontam baixo desempenho escolar nas tarefas sobre divisão e número racional. São analisados 65 estudos sobre o assunto, publicados entre 1999 e 2010. Os estudos sobre resolução de problemas inserem-se nos estudos tradicionais com entrevistas sobre as estratégias; nas intervenções, predominam o grupo controle e experimental, com pré e pós-testes. Ambos se referem aos campos conceituais, aos registros de representação semiótica e aos subconstrutos dos números racionais. Convergem na importância da compreensão da lógica do sistema numérico decimal para a compreensão da lógica do algoritmo da divisão e dos racionais; no predomínio, em sala de aula, da exposição e de regras, em detrimento do conceito; na importância do professor. Propõe-se um modelo que leve em conta a análise das regulações cognitivas, integrando a análise dos processos comunicacionais, considerando a Psicologia do Desenvolvimento, em relação tanto ao professor quanto ao aluno.Universidade Estadual de Campinas2012-10-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoinfo:eu-repo/semantics/otherapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/864663510.20396/zet.v20i37.8646635Zetetike; Vol. 20 No. 1 (2012): jan./jun. [37]; 33-67Zetetike; Vol. 20 Núm. 1 (2012): jan./jun. [37]; 33-67Zetetike; v. 20 n. 1 (2012): jan./jun. [37]; 33-672176-1744reponame:Zetetiké (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646635/13537Brazil; 2012Brasil; 2012Copyright (c) 2014 Zetetiké: Revista de Educação Matemáticahttps://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessFávero, Maria HelenaNeves, Regina da Silva Pina2023-11-21T13:07:27Zoai:ojs.periodicos.sbu.unicamp.br:article/8646635Revistahttp://www.fe.unicamp.br/zetetike/PUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/oaizetetike@unicamp.br2176-17440104-4877opendoar:2023-11-21T13:07:27Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv Division and rational numbers: research review and analysis
A divisão e os racionais: revisão bibliográfica e análise
title Division and rational numbers: research review and analysis
spellingShingle Division and rational numbers: research review and analysis
Fávero, Maria Helena
Divisão
Números racionais
Sistema numérico decimal
Regulações cognitivas
Processos comunicacionais
Division
Rational numbers
Decimal number system
Cognitive regulations
Communicative processes
title_short Division and rational numbers: research review and analysis
title_full Division and rational numbers: research review and analysis
title_fullStr Division and rational numbers: research review and analysis
title_full_unstemmed Division and rational numbers: research review and analysis
title_sort Division and rational numbers: research review and analysis
author Fávero, Maria Helena
author_facet Fávero, Maria Helena
Neves, Regina da Silva Pina
author_role author
author2 Neves, Regina da Silva Pina
author2_role author
dc.contributor.author.fl_str_mv Fávero, Maria Helena
Neves, Regina da Silva Pina
dc.subject.por.fl_str_mv Divisão
Números racionais
Sistema numérico decimal
Regulações cognitivas
Processos comunicacionais
Division
Rational numbers
Decimal number system
Cognitive regulations
Communicative processes
topic Divisão
Números racionais
Sistema numérico decimal
Regulações cognitivas
Processos comunicacionais
Division
Rational numbers
Decimal number system
Cognitive regulations
Communicative processes
description Official reports in Brazil reveal poor school performance in tasks involving division andrational numbers. We analyse 65 such studies, published between 1999 and 2010. Those regardingproblem solving are traditional studies with interviews about strategies, and the predominantinterventions involve control and experimental groups with pre and post tests. Both refer to conceptualfields (Vergnaud, 1990), to records of semiotic representation (Duval,1993) and to the sub-constructs ofrational numbers (Kieren, 1988). They agree on the importance of understanding the logic of thedecimal number system in order to grasp the logic of the division algorithm and rational numbers, onthe classroom predominance of exposition and rules to the detriment of concepts, and on theimportance of the teacher. It is proposed a model based on the analysis of cognitive regulations,including an analysis of the communicative processes, and taking into account the DevelopmentalPsychology of both the teacher and the student.
publishDate 2012
dc.date.none.fl_str_mv 2012-10-08
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Texto
info:eu-repo/semantics/other
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646635
10.20396/zet.v20i37.8646635
url https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646635
identifier_str_mv 10.20396/zet.v20i37.8646635
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646635/13537
dc.rights.driver.fl_str_mv Copyright (c) 2014 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2014 Zetetiké: Revista de Educação Matemática
https://creativecommons.org/licenses/by-nc-nd/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.none.fl_str_mv Brazil; 2012
Brasil; 2012
dc.publisher.none.fl_str_mv Universidade Estadual de Campinas
publisher.none.fl_str_mv Universidade Estadual de Campinas
dc.source.none.fl_str_mv Zetetike; Vol. 20 No. 1 (2012): jan./jun. [37]; 33-67
Zetetike; Vol. 20 Núm. 1 (2012): jan./jun. [37]; 33-67
Zetetike; v. 20 n. 1 (2012): jan./jun. [37]; 33-67
2176-1744
reponame:Zetetiké (Online)
instname:Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
instname_str Universidade Estadual de Campinas (UNICAMP)
instacron_str UNICAMP
institution UNICAMP
reponame_str Zetetiké (Online)
collection Zetetiké (Online)
repository.name.fl_str_mv Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)
repository.mail.fl_str_mv zetetike@unicamp.br
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