Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau

Detalhes bibliográficos
Ano de defesa: 2024
Autor(a) principal: Santos, Franciscleide Ribeiro dos lattes
Orientador(a): Goulart, Jany Santos Souza lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Estadual de Feira de Santana
Programa de Pós-Graduação: Mestrado Profissional em Matem?tica
Departamento: DEPARTAMENTO DE CI?NCIAS EXATAS
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://tede2.uefs.br:8080/handle/tede/1750
Resumo: The present work aims to promote the connection between problem-solving involving firstdegree equations and the daily lives of 7th-grade students in a public school in Bahia. To achieve this goal, a didactic sequence based on the assumptions of Brousseau's Theory of Didactic Situations was adopted, which emphasizes the construction of mathematical knowledge through the interaction between the student and their environment. The methodology included a combination of diverse activities, such as historical research on equations, reading and interpreting texts, formulating and solving contextualized problems, culminating in the experimentation and construction of physical balance models. These practical activities were designed to facilitate the understanding of the concept of first-degree equations by relating it to the students' real-life experiences. The implementation of this didactic sequence revealed a significant increase in students' interest in understanding first-degree equations, especially when the activities diverged from traditional teaching methods, which are often focused on memorization and mechanical repetition of procedures. The methodological approach of this study was inspired by the stages of Didactic Engineering, with a special emphasis on the experimentation and validation of mathematical concepts through concrete practices. This process not only encouraged active student participation but also promoted an environment of knowledge exchange, where dialogue and collaboration were central to the construction of mathematical understanding. Thus, this work contributes to improving the teaching of first-degree equations, demonstrating the effectiveness of pedagogical practices that contextualize and bring mathematical content closer to students' lived experiences.
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spelling Goulart, Jany Santos Souza0368683092136867http://lattes.cnpq.br/03686830921368677480674835482112http://lattes.cnpq.br/7480674835482112Santos, Franciscleide Ribeiro dos2025-02-10T17:29:46Z2024-12-18SANTOS, Franciscleide Ribeiro dos. Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau, 2024, 91 f., Disserta??o (mestrado profissional) - Programa de Mestrado Profissional em Matem?tica em Rede Nacional, Universidade Estadual de Feira de Santana, Feira de Santana.http://tede2.uefs.br:8080/handle/tede/1750The present work aims to promote the connection between problem-solving involving firstdegree equations and the daily lives of 7th-grade students in a public school in Bahia. To achieve this goal, a didactic sequence based on the assumptions of Brousseau's Theory of Didactic Situations was adopted, which emphasizes the construction of mathematical knowledge through the interaction between the student and their environment. The methodology included a combination of diverse activities, such as historical research on equations, reading and interpreting texts, formulating and solving contextualized problems, culminating in the experimentation and construction of physical balance models. These practical activities were designed to facilitate the understanding of the concept of first-degree equations by relating it to the students' real-life experiences. The implementation of this didactic sequence revealed a significant increase in students' interest in understanding first-degree equations, especially when the activities diverged from traditional teaching methods, which are often focused on memorization and mechanical repetition of procedures. The methodological approach of this study was inspired by the stages of Didactic Engineering, with a special emphasis on the experimentation and validation of mathematical concepts through concrete practices. This process not only encouraged active student participation but also promoted an environment of knowledge exchange, where dialogue and collaboration were central to the construction of mathematical understanding. Thus, this work contributes to improving the teaching of first-degree equations, demonstrating the effectiveness of pedagogical practices that contextualize and bring mathematical content closer to students' lived experiences.O presente trabalho tem como objetivo promover a interliga??o das resolu??es de problemas envolvendo Equa??es do 1? Grau com o cotidiano dos estudantes do 7? ano do Ensino Fundamental II de uma escola p?blica na Bahia. Para alcan?ar esse objetivo, foi adotada uma sequ?ncia did?tica baseada nos pressupostos da Teoria das Situa??es Did?ticas de Brousseau, que privilegia a constru??o do conhecimento matem?tico a partir da intera??o entre o aluno e o meio. A metodologia adotada incluiu uma combina??o de atividades diversificadas, como a pesquisa hist?rica das equa??es, leitura e interpreta??o de textos, elabora??o e resolu??o de problemas contextualizados, culminando na experimenta??o e constru??o de modelos f?sicos de balan?as. Essas atividades pr?ticas foram desenhadas para facilitar a compreens?o do conceito de Equa??o do 1? Grau, aproximando-o da realidade vivida pelos estudantes. A implementa??o dessa sequ?ncia did?tica revelou um aumento significativo no interesse dos alunos em compreender as Equa??es do 1? Grau, especialmente quando as atividades se distanciaram dos m?todos tradicionais de ensino, frequentemente centrados na memoriza??o e repeti??o mec?nica de procedimentos. A abordagem metodol?gica deste estudo foi inspirada nas fases da Engenharia Did?tica, com especial ?nfase na experimenta??o e valida??o dos conceitos matem?ticos atrav?s de pr?ticas concretas. Esse processo n?o apenas incentivou a participa??o ativa dos estudantes, mas tamb?m promoveu um ambiente de troca de conhecimentos, em que o di?logo e a colabora??o foram centrais para a constru??o do saber matem?tico. Assim, este trabalho contribui para a melhoria do ensino das Equa??es do 1? Grau, demonstrando o potencial da constru??o de materiais did?ticos que contextualizam e aproximam o conte?do matem?tico da viv?ncia dos alunosSubmitted by Daniela Costa (dmscosta@uefs.br) on 2025-02-10T17:29:46Z No. of bitstreams: 1 DISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf: 1970233 bytes, checksum: 97668a11cbc14d132f254e27a8a47770 (MD5)Made available in DSpace on 2025-02-10T17:29:46Z (GMT). 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GrauPr?ticaCotidianoAprendizagemSequ?ncia Did?ticaFirst Degree EquationPracticeEverydayLearningFollowing teachingMATEMATICA::MATEMATICA APLICADAUma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grauinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-7971474019206770306600600600600-548683281661150621183989707851798577903590462550136975366info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEFSinstname:Universidade Estadual de Feira de Santana (UEFS)instacron:UEFSTHUMBNAILDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.jpgDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.jpgimage/jpeg3942http://tede2.uefs.br:8080/bitstream/tede/1750/4/DISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.jpg029cee970a107ba2d8e9c499814f0cecMD54TEXTDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.txtDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.txttext/plain155948http://tede2.uefs.br:8080/bitstream/tede/1750/3/DISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf.txt1a79ce8bb0092bc1056debbab0eeb5caMD53ORIGINALDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdfDISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdfapplication/pdf1970233http://tede2.uefs.br:8080/bitstream/tede/1750/2/DISSERTACAO_PROFMAT_UEFS__FRANCISCLEIDE_RIBEIRO_DOS_SANTOS_.pdf97668a11cbc14d132f254e27a8a47770MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82089http://tede2.uefs.br:8080/bitstream/tede/1750/1/license.txt7b5ba3d2445355f386edab96125d42b7MD51tede/17502025-09-10 01:42:31.552oai:tede2.uefs.br:8080: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Biblioteca Digital de Teses e Dissertaçõeshttp://tede2.uefs.br:8080/PUBhttp://tede2.uefs.br:8080/oai/requestbcuefs@uefs.br|| bcref@uefs.br||bcuefs@uefs.bropendoar:2025-09-10T04:42:31Biblioteca Digital de Teses e Dissertações da UEFS - Universidade Estadual de Feira de Santana (UEFS)false
dc.title.por.fl_str_mv Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
title Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
spellingShingle Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
Santos, Franciscleide Ribeiro dos
Equa??o do 1? Grau
Pr?tica
Cotidiano
Aprendizagem
Sequ?ncia Did?tica
First Degree Equation
Practice
Everyday
Learning
Following teaching
MATEMATICA::MATEMATICA APLICADA
title_short Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
title_full Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
title_fullStr Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
title_full_unstemmed Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
title_sort Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau
author Santos, Franciscleide Ribeiro dos
author_facet Santos, Franciscleide Ribeiro dos
author_role author
dc.contributor.advisor1.fl_str_mv Goulart, Jany Santos Souza
dc.contributor.advisor1ID.fl_str_mv 0368683092136867
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/0368683092136867
dc.contributor.authorID.fl_str_mv 7480674835482112
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7480674835482112
dc.contributor.author.fl_str_mv Santos, Franciscleide Ribeiro dos
contributor_str_mv Goulart, Jany Santos Souza
dc.subject.por.fl_str_mv Equa??o do 1? Grau
Pr?tica
Cotidiano
Aprendizagem
Sequ?ncia Did?tica
topic Equa??o do 1? Grau
Pr?tica
Cotidiano
Aprendizagem
Sequ?ncia Did?tica
First Degree Equation
Practice
Everyday
Learning
Following teaching
MATEMATICA::MATEMATICA APLICADA
dc.subject.eng.fl_str_mv First Degree Equation
Practice
Everyday
Learning
Following teaching
dc.subject.cnpq.fl_str_mv MATEMATICA::MATEMATICA APLICADA
description The present work aims to promote the connection between problem-solving involving firstdegree equations and the daily lives of 7th-grade students in a public school in Bahia. To achieve this goal, a didactic sequence based on the assumptions of Brousseau's Theory of Didactic Situations was adopted, which emphasizes the construction of mathematical knowledge through the interaction between the student and their environment. The methodology included a combination of diverse activities, such as historical research on equations, reading and interpreting texts, formulating and solving contextualized problems, culminating in the experimentation and construction of physical balance models. These practical activities were designed to facilitate the understanding of the concept of first-degree equations by relating it to the students' real-life experiences. The implementation of this didactic sequence revealed a significant increase in students' interest in understanding first-degree equations, especially when the activities diverged from traditional teaching methods, which are often focused on memorization and mechanical repetition of procedures. The methodological approach of this study was inspired by the stages of Didactic Engineering, with a special emphasis on the experimentation and validation of mathematical concepts through concrete practices. This process not only encouraged active student participation but also promoted an environment of knowledge exchange, where dialogue and collaboration were central to the construction of mathematical understanding. Thus, this work contributes to improving the teaching of first-degree equations, demonstrating the effectiveness of pedagogical practices that contextualize and bring mathematical content closer to students' lived experiences.
publishDate 2024
dc.date.issued.fl_str_mv 2024-12-18
dc.date.accessioned.fl_str_mv 2025-02-10T17:29:46Z
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dc.identifier.citation.fl_str_mv SANTOS, Franciscleide Ribeiro dos. Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau, 2024, 91 f., Disserta??o (mestrado profissional) - Programa de Mestrado Profissional em Matem?tica em Rede Nacional, Universidade Estadual de Feira de Santana, Feira de Santana.
dc.identifier.uri.fl_str_mv http://tede2.uefs.br:8080/handle/tede/1750
identifier_str_mv SANTOS, Franciscleide Ribeiro dos. Uma proposta de sequ?ncia did?tica para o ensino de equa??o do 1? grau, 2024, 91 f., Disserta??o (mestrado profissional) - Programa de Mestrado Profissional em Matem?tica em Rede Nacional, Universidade Estadual de Feira de Santana, Feira de Santana.
url http://tede2.uefs.br:8080/handle/tede/1750
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dc.publisher.none.fl_str_mv Universidade Estadual de Feira de Santana
dc.publisher.program.fl_str_mv Mestrado Profissional em Matem?tica
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