Ensino-aprendizagem de álgebra através da resolução e exploração de problemas

Detalhes bibliográficos
Ano de defesa: 2016
Autor(a) principal: Araújo, Andriely Iris Silva de lattes
Orientador(a): Andrade, Silvanio de lattes
Banca de defesa: Maciel, Aníbal de Menezes lattes, Farias, Severina Andréa Dantas de lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Estadual da Paraíba
Programa de Pós-Graduação: Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM
Departamento: Pró-Reitoria de Pós-Graduação e Pesquisa - PRPGP
País: BR
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://repositorio.uepb.edu.br/handle/123456789/73808
Resumo: After a reflection on learning difficulties the basic principles of algebra in the understanding and appropriation of idea and concepts, felt the need to seek a methodology to propose a better learning of students. This is the main objective of this work is to identify how the teaching-learning methodology of Mathematics through Problem Solving and Exploration enables the understanding and concepts ranging from the generalization of the standards to the solving of First Degree Polynomial Equations. Considering that this methodology aims to develop a more focused work for students because the problem generation part for acquiring new mathematical concepts promote a more additive participation of students in the process of knowledge construction. From the moment the student is raised to expose his ideas and thoughts becoming the center of development and construction of knowledge, under the care of teacher who now has the function of mediation, help build a bridge between the student already know what do you want to know. The research methodology used is qualitative on the method of teacher research (LANKSHEAR & KNOBEL, 2008) where the teacher researches mainly his/her own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher–researcher himself/herself. The classroom work was developed in a seventh grade class of elementary school of a public school in the municipality of Itatuba, PB, Brazil. In working with the methodology of problem solving and exploration there is a greater motivation of the students to question the reflection of the discussed idea, the relevance of the adopted methodology, which allowed a greater understanding of Algebra, in order to minimize the difficulties presented by the students. Where the teacher researches, above all, his own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher himself.
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spelling 2017-03-07T16:45:02Z2026-02-27T13:14:46Z2016-12-19ARAÚJO, A. I. S. de. Ensino-aprendizagem de álgebra através da resolução e exploração de problemas. 2016. 126f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2016.https://repositorio.uepb.edu.br/handle/123456789/73808After a reflection on learning difficulties the basic principles of algebra in the understanding and appropriation of idea and concepts, felt the need to seek a methodology to propose a better learning of students. This is the main objective of this work is to identify how the teaching-learning methodology of Mathematics through Problem Solving and Exploration enables the understanding and concepts ranging from the generalization of the standards to the solving of First Degree Polynomial Equations. Considering that this methodology aims to develop a more focused work for students because the problem generation part for acquiring new mathematical concepts promote a more additive participation of students in the process of knowledge construction. From the moment the student is raised to expose his ideas and thoughts becoming the center of development and construction of knowledge, under the care of teacher who now has the function of mediation, help build a bridge between the student already know what do you want to know. The research methodology used is qualitative on the method of teacher research (LANKSHEAR & KNOBEL, 2008) where the teacher researches mainly his/her own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher–researcher himself/herself. The classroom work was developed in a seventh grade class of elementary school of a public school in the municipality of Itatuba, PB, Brazil. In working with the methodology of problem solving and exploration there is a greater motivation of the students to question the reflection of the discussed idea, the relevance of the adopted methodology, which allowed a greater understanding of Algebra, in order to minimize the difficulties presented by the students. Where the teacher researches, above all, his own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher himself.Após uma reflexão sobre as dificuldades da aprendizagem dos princípios básicos da Álgebra na compreensão e apropriação de ideias e conceitos, sentiu-se a necessidade de buscar uma metodologia que propusesse uma melhor aprendizagem dos alunos. Desse modo, o objetivo principal deste trabalho é identificar como a metodologia de Ensino- Aprendizagem de Matemática através da Resolução e Exploração de Problemas possibilita o entendimento de ideias e conceitos que vão desde a generalização de padrões até a resolução de Equações Polinomiais do Primeiro Grau. Tendo em vista que essa metodologia visa desenvolver um trabalho mais centrado nos alunos, pois parte de problemas geradores para a aquisição de novos conceitos matemáticos, promovendo assim uma participação mais ativa dos alunos no processo de construção do conhecimento. A partir do momento que o aluno é elevado a expor suas ideias e pensamentos, tornado se o centro do desenvolvimento e da edificação do conhecimento, sob o olhar cuidadoso do professor, que nesse momento tem o papel de mediar, ajudando a construir uma ponte entre o que o aluno já sabe e o que deseja saber. A metodologia de pesquisa usada é de caráter qualitativo na modalidade de pesquisa pedagógica (LANKSHEAR & KNOBEL, 2008) onde o professor pesquisa, sobretudo, sua própria sala de aula e cujo objeto da pesquisa flui de questões, problemas ou preocupações autênticas do próprio professor - pesquisador. O trabalho de sala de aula foi desenvolvido em uma turma do 7º ano do Ensino Fundamental, de uma escola da rede pública do município de Itatuba-PB. Ao trabalhar com a metodologia de Resolução e Exploração de Problemas constatou-se uma maior motivação por parte dos alunos, ao questionarem e refletirem sobre as ideias discutidas, sendo sempre instigados a atuar em fortemente durante o processo de ensino-aprendizagem. Pode-se destacar com a análise dos resultados obtidos a relevância da metodologia adotada, que permitiu uma maior compreensão da Álgebra, de modo a minimizar ou até superar as dificuldades apresentadas constantemente pelos alunos.application/pdfUniversidade Estadual da ParaíbaPrograma de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEMUEPBBRPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPTeaching of AlgebraMathematics educationMathematics - Problem SolvingTeaching and LearningEDUCACAOEducação MatemáticaEnsino-aprendizagemMatemática - Resolução de problemasEnsino de ÁlgebraEnsino-aprendizagem de álgebra através da resolução e exploração de problemasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMaciel, Aníbal de Menezeshttp://lattes.cnpq.br/1093400715444576Farias, Severina Andréa Dantas dehttp://lattes.cnpq.br/8415151252488130Andrade, Silvanio dehttp://lattes.cnpq.br/8695612846450802http://lattes.cnpq.br/5388347664300580Araújo, Andriely Iris Silva deinfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da Universidade Estadual da Paraíba (UEPB)instname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBLICENSElicense.txtlicense.txttext/plain; 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dc.title.none.fl_str_mv Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
title Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
spellingShingle Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
Araújo, Andriely Iris Silva de
Teaching of Algebra
Mathematics education
Mathematics - Problem Solving
Teaching and Learning
EDUCACAO
Educação Matemática
Ensino-aprendizagem
Matemática - Resolução de problemas
Ensino de Álgebra
title_short Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
title_full Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
title_fullStr Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
title_full_unstemmed Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
title_sort Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
author Araújo, Andriely Iris Silva de
author_facet Araújo, Andriely Iris Silva de
author_role author
dc.contributor.referee1.fl_str_mv Maciel, Aníbal de Menezes
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/1093400715444576
dc.contributor.referee2.fl_str_mv Farias, Severina Andréa Dantas de
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/8415151252488130
dc.contributor.advisor1.fl_str_mv Andrade, Silvanio de
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8695612846450802
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/5388347664300580
dc.contributor.author.fl_str_mv Araújo, Andriely Iris Silva de
contributor_str_mv Maciel, Aníbal de Menezes
Farias, Severina Andréa Dantas de
Andrade, Silvanio de
dc.subject.eng.fl_str_mv Teaching of Algebra
Mathematics education
Mathematics - Problem Solving
Teaching and Learning
topic Teaching of Algebra
Mathematics education
Mathematics - Problem Solving
Teaching and Learning
EDUCACAO
Educação Matemática
Ensino-aprendizagem
Matemática - Resolução de problemas
Ensino de Álgebra
dc.subject.cnpq.fl_str_mv EDUCACAO
dc.subject.por.fl_str_mv Educação Matemática
Ensino-aprendizagem
Matemática - Resolução de problemas
Ensino de Álgebra
description After a reflection on learning difficulties the basic principles of algebra in the understanding and appropriation of idea and concepts, felt the need to seek a methodology to propose a better learning of students. This is the main objective of this work is to identify how the teaching-learning methodology of Mathematics through Problem Solving and Exploration enables the understanding and concepts ranging from the generalization of the standards to the solving of First Degree Polynomial Equations. Considering that this methodology aims to develop a more focused work for students because the problem generation part for acquiring new mathematical concepts promote a more additive participation of students in the process of knowledge construction. From the moment the student is raised to expose his ideas and thoughts becoming the center of development and construction of knowledge, under the care of teacher who now has the function of mediation, help build a bridge between the student already know what do you want to know. The research methodology used is qualitative on the method of teacher research (LANKSHEAR & KNOBEL, 2008) where the teacher researches mainly his/her own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher–researcher himself/herself. The classroom work was developed in a seventh grade class of elementary school of a public school in the municipality of Itatuba, PB, Brazil. In working with the methodology of problem solving and exploration there is a greater motivation of the students to question the reflection of the discussed idea, the relevance of the adopted methodology, which allowed a greater understanding of Algebra, in order to minimize the difficulties presented by the students. Where the teacher researches, above all, his own classroom and whose object of research flows from questions, problems or authentic concerns of the teacher himself.
publishDate 2016
dc.date.issued.fl_str_mv 2016-12-19
dc.date.accessioned.fl_str_mv 2017-03-07T16:45:02Z
2026-02-27T13:14:46Z
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dc.identifier.citation.fl_str_mv ARAÚJO, A. I. S. de. Ensino-aprendizagem de álgebra através da resolução e exploração de problemas. 2016. 126f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2016.
dc.identifier.uri.fl_str_mv https://repositorio.uepb.edu.br/handle/123456789/73808
identifier_str_mv ARAÚJO, A. I. S. de. Ensino-aprendizagem de álgebra através da resolução e exploração de problemas. 2016. 126f. Dissertação (Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM) - Universidade Estadual da Paraíba, Campina Grande, 2016.
url https://repositorio.uepb.edu.br/handle/123456789/73808
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