The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures

Detalhes bibliográficos
Autor(a) principal: Moreira, Plínio Cavalcanti
Data de Publicação: 2008
Outros Autores: Ferreira, Maria Cristina Costa
Tipo de documento: Artigo
Idioma: por
Título da fonte: Bolema: Boletim de Educação Matemática
Texto Completo: https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107
Resumo: We present a literature review on the role of the operator subconstruct in the learning of rational numbers. We chose to focus on this subconstruct because it is related to the operation of multiplication, which places it in a position of importance when one considers the development of so-called multiplicative reasoning. We reviewed the literature seeking to make explicit perspectives in which the role of this interpretation of rational number is considered important in the school curriculum, and to describe empirical research findings and theoretical reflections related to work with this subconstruct in school. We finish by presenting some issues that we believe deserve additional attention. The objective is to present a synthesis of the literature on this specific topic, offering support that may contribute to teachers’ construction of a professional view regarding rational numbers. Key-words: Mathematics Education. Rational Numbers. Subconstructs. Operator.
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spelling The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structuresA Teoria dos Subconstrutos e o Número Racional como Operador: das estruturas algébricas às cognitivasWe present a literature review on the role of the operator subconstruct in the learning of rational numbers. We chose to focus on this subconstruct because it is related to the operation of multiplication, which places it in a position of importance when one considers the development of so-called multiplicative reasoning. We reviewed the literature seeking to make explicit perspectives in which the role of this interpretation of rational number is considered important in the school curriculum, and to describe empirical research findings and theoretical reflections related to work with this subconstruct in school. We finish by presenting some issues that we believe deserve additional attention. The objective is to present a synthesis of the literature on this specific topic, offering support that may contribute to teachers’ construction of a professional view regarding rational numbers. Key-words: Mathematics Education. Rational Numbers. Subconstructs. Operator.Neste trabalho focalizamos o papel do subconstruto operador na aprendizagem escolar dos números racionais, revisando a literatura especializada sobre o tema. A escolha desse subconstruto deve-se ao fato de que é vinculado à operação de multiplicação, o que o coloca em posição de destaque quando se pensa no desenvolvimento do chamado raciocínio multiplicativo. Revisamos a literatura, procurando explicitar perspectivas a partir das quais o papel dessa interpretação do número racional é considerado importante no currículo escolar, assim como descrever resultados de pesquisas empíricas e reflexões teóricas relacionadas com o trabalho escolar com esse subconstruto. Finalizamos apresentando algumas questões que, a nosso ver, ainda merecem atenção. O objetivo do texto é apresentar uma síntese da literatura relacionada com este tópico específico, oferecendo aportes que podem ser relevantes para a construção de uma visão profissional docente a respeito dos números racionais. Palavras-chave: Educação Matemática. Números Racionais. Subconstrutos. Operador.UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas2008-12-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107Bolema: Boletim de Educação Matemática; v. 21 n. 31 (2008); 103-1271980-44150103-636Xreponame:Bolema: Boletim de Educação Matemáticainstname:Universidade Estadual Paulista (UNESP)instacron:UNESPporhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107/1832Moreira, Plínio CavalcantiFerreira, Maria Cristina Costainfo:eu-repo/semantics/openAccess2015-09-24T12:51:56Zoai:periodicos.rc.biblioteca.unesp.br:article/2107Revistahttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/PUBhttps://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/oaibolema.contato@gmail.com||romiarka@gmail.com1980-44150103-636Xopendoar:2015-09-24T12:51:56Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
A Teoria dos Subconstrutos e o Número Racional como Operador: das estruturas algébricas às cognitivas
title The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
spellingShingle The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
Moreira, Plínio Cavalcanti
title_short The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
title_full The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
title_fullStr The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
title_full_unstemmed The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
title_sort The Theory of Subconstructs and the Rational Number as Operator: from algebraic to cognitive structures
author Moreira, Plínio Cavalcanti
author_facet Moreira, Plínio Cavalcanti
Ferreira, Maria Cristina Costa
author_role author
author2 Ferreira, Maria Cristina Costa
author2_role author
dc.contributor.author.fl_str_mv Moreira, Plínio Cavalcanti
Ferreira, Maria Cristina Costa
description We present a literature review on the role of the operator subconstruct in the learning of rational numbers. We chose to focus on this subconstruct because it is related to the operation of multiplication, which places it in a position of importance when one considers the development of so-called multiplicative reasoning. We reviewed the literature seeking to make explicit perspectives in which the role of this interpretation of rational number is considered important in the school curriculum, and to describe empirical research findings and theoretical reflections related to work with this subconstruct in school. We finish by presenting some issues that we believe deserve additional attention. The objective is to present a synthesis of the literature on this specific topic, offering support that may contribute to teachers’ construction of a professional view regarding rational numbers. Key-words: Mathematics Education. Rational Numbers. Subconstructs. Operator.
publishDate 2008
dc.date.none.fl_str_mv 2008-12-28
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://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107
url https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv https://www.periodicos.rc.biblioteca.unesp.br/index.php/bolema/article/view/2107/1832
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 UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
publisher.none.fl_str_mv UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
dc.source.none.fl_str_mv Bolema: Boletim de Educação Matemática; v. 21 n. 31 (2008); 103-127
1980-4415
0103-636X
reponame:Bolema: Boletim de Educação Matemática
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Bolema: Boletim de Educação Matemática
collection Bolema: Boletim de Educação Matemática
repository.name.fl_str_mv Bolema: Boletim de Educação Matemática - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv bolema.contato@gmail.com||romiarka@gmail.com
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