Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school

Detalhes bibliográficos
Autor(a) principal: Almeida, Fernando Emilio Leite de
Data de Publicação: 2014
Outros Autores: Lima, Anna Paula de Avelar Brito
Tipo de documento: Artigo
Idioma: por
Título da fonte: Zetetiké (Online)
Texto Completo: https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646599
Resumo: This paper presents some results of a Master's thesis that aimed toexamine how a didactical contract is established in the relationship between teacherand students. This study focus on the 8th grade of Elementary School, when algebraknowledge is involved, especially regarding the transition from natural language toalgebraic language and solving equation. As our reference, we study the Frenchinfluence of Mathematics Didactics to analyze teaching and the phenomena thatemerge in this context, particularly the Didactic Contract. Results show that thedidactic contract examined in the transition from natural language to algebraiclanguage is not negotiated more effectively; therefore, the emphasis is on solvingequations, favoring the inverse operation. Teachers participating in the study believedthat the equation writing should follow the same order as written in natural language,and that the problem in natural language brings important keywords for resolution.
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spelling Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school Negociações do contrato didático na passagem da linguagem natural para a linguagem algébrica e na resolução da equação no 8º ano do ensino fundamentalDidactical contractNatural language and algebraic languageEquation 1rst degreeContrato didáticoLinguagem natural e linguagem algébricaEquação do 1º grauContrato Didático. Linguagem natural e Linguagem Algébrica. Equação do 1º Grau.This paper presents some results of a Master's thesis that aimed toexamine how a didactical contract is established in the relationship between teacherand students. This study focus on the 8th grade of Elementary School, when algebraknowledge is involved, especially regarding the transition from natural language toalgebraic language and solving equation. As our reference, we study the Frenchinfluence of Mathematics Didactics to analyze teaching and the phenomena thatemerge in this context, particularly the Didactic Contract. Results show that thedidactic contract examined in the transition from natural language to algebraiclanguage is not negotiated more effectively; therefore, the emphasis is on solvingequations, favoring the inverse operation. Teachers participating in the study believedthat the equation writing should follow the same order as written in natural language,and that the problem in natural language brings important keywords for resolution.Neste artigo, apresentamos parte dos resultados de uma dissertação de Mestrado que teve por objetivo analisar como se estabelece o contrato didático, na relação entre professor e alunos do 8º ano do Ensino Fundamental, quando o saber algébrico está em jogo, especificamente na passagem da linguagem natural para a linguagem algébrica e na resolução da equação. Optamos pelo referencial da Didática da Matemática de influência francesa, particularmente o Contrato Didático. Os resultados apontam que, no contrato didático analisado, a passagem da linguagem natural para a linguagem algébrica não se dá a partir de uma negociação mais efetiva, pois a ênfase se põe na resolução da equação, privilegiando a operação inversa. Os professores participantes do estudo consideravam que a escrita da equação deveria seguir a mesma ordem da escrita em linguagem natural, e que o problema em linguagem natural traz palavras-chave importantes para resolução da equação.Universidade Estadual de Campinas2014-04-16info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTextoinfo:eu-repo/semantics/otherapplication/pdfhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/864659910.20396/zet.v21i39.8646599Zetetike; Vol. 21 No. 1 (2013): jan./jun. [39]; 77-102Zetetike; Vol. 21 Núm. 1 (2013): jan./jun. [39]; 77-102Zetetike; v. 21 n. 1 (2013): jan./jun. [39]; 77-1022176-1744reponame:Zetetiké (Online)instname:Universidade Estadual de Campinas (UNICAMP)instacron:UNICAMPporhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646599/13501Brazil; 2012Brasil; 2012Copyright (c) 2014 Zetetiké: Revista de Educação Matemáticahttps://creativecommons.org/licenses/by-nc-nd/4.0info:eu-repo/semantics/openAccessAlmeida, Fernando Emilio Leite deLima, Anna Paula de Avelar Brito2023-11-23T16:01:10Zoai:ojs.periodicos.sbu.unicamp.br:article/8646599Revistahttp://www.fe.unicamp.br/zetetike/PUBhttps://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/oaizetetike@unicamp.br2176-17440104-4877opendoar:2023-11-23T16:01:10Zetetiké (Online) - Universidade Estadual de Campinas (UNICAMP)false
dc.title.none.fl_str_mv Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
Negociações do contrato didático na passagem da linguagem natural para a linguagem algébrica e na resolução da equação no 8º ano do ensino fundamental
title Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
spellingShingle Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
Almeida, Fernando Emilio Leite de
Didactical contract
Natural language and algebraic language
Equation 1rst degree
Contrato didático
Linguagem natural e linguagem algébrica
Equação do 1º grau
Contrato Didático. Linguagem natural e Linguagem Algébrica. Equação do 1º Grau.
title_short Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
title_full Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
title_fullStr Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
title_full_unstemmed Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
title_sort Negotiations of didactical contract in the transition from natural language to algebraic language and equation solving on the 8th year of elementary school
author Almeida, Fernando Emilio Leite de
author_facet Almeida, Fernando Emilio Leite de
Lima, Anna Paula de Avelar Brito
author_role author
author2 Lima, Anna Paula de Avelar Brito
author2_role author
dc.contributor.author.fl_str_mv Almeida, Fernando Emilio Leite de
Lima, Anna Paula de Avelar Brito
dc.subject.por.fl_str_mv Didactical contract
Natural language and algebraic language
Equation 1rst degree
Contrato didático
Linguagem natural e linguagem algébrica
Equação do 1º grau
Contrato Didático. Linguagem natural e Linguagem Algébrica. Equação do 1º Grau.
topic Didactical contract
Natural language and algebraic language
Equation 1rst degree
Contrato didático
Linguagem natural e linguagem algébrica
Equação do 1º grau
Contrato Didático. Linguagem natural e Linguagem Algébrica. Equação do 1º Grau.
description This paper presents some results of a Master's thesis that aimed toexamine how a didactical contract is established in the relationship between teacherand students. This study focus on the 8th grade of Elementary School, when algebraknowledge is involved, especially regarding the transition from natural language toalgebraic language and solving equation. As our reference, we study the Frenchinfluence of Mathematics Didactics to analyze teaching and the phenomena thatemerge in this context, particularly the Didactic Contract. Results show that thedidactic contract examined in the transition from natural language to algebraiclanguage is not negotiated more effectively; therefore, the emphasis is on solvingequations, favoring the inverse operation. Teachers participating in the study believedthat the equation writing should follow the same order as written in natural language,and that the problem in natural language brings important keywords for resolution.
publishDate 2014
dc.date.none.fl_str_mv 2014-04-16
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/8646599
10.20396/zet.v21i39.8646599
url https://periodicos.sbu.unicamp.br/ojs/index.php/zetetike/article/view/8646599
identifier_str_mv 10.20396/zet.v21i39.8646599
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/8646599/13501
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. 21 No. 1 (2013): jan./jun. [39]; 77-102
Zetetike; Vol. 21 Núm. 1 (2013): jan./jun. [39]; 77-102
Zetetike; v. 21 n. 1 (2013): jan./jun. [39]; 77-102
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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