Ensino-aprendizagem de álgebra através da resolução e exploração de problemas
| Ano de defesa: | 2016 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | , |
| 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. |
| id |
UEPB-2_86f23da4d76e6c9da5478d4c307a46f0 |
|---|---|
| oai_identifier_str |
oai:repositorio.uepb.edu.br:123456789/73808 |
| network_acronym_str |
UEPB-2 |
| network_name_str |
Repositório Institucional da Universidade Estadual da Paraíba (UEPB) |
| repository_id_str |
|
| 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; charset=utf-81960https://repositorio.uepb.edu.br/bitstreams/e4cf5fa8-897d-4c0c-8106-8d20a5b8723a/download6052ae61e77222b2086e666b7ae213ceMD51falseAnonymousREADlicense.txtlicense.txttext/plain; charset=utf-81324https://repositorio.uepb.edu.br/bitstreams/af1927a1-ae62-46ba-97c5-5202a7e95d5b/downloadea12793326f265c7d8ea2bcdd2c49d6fMD54falseAnonymousREADORIGINALPDF - Andriely Íris Silva de Araújo.pdfPDF - Andriely Íris Silva de Araújo.pdfPDF - Andriely Íris Silva de Araújoapplication/pdf3453817https://repositorio.uepb.edu.br/bitstreams/56daf115-aa85-42a9-87f7-148284ac41a7/downloadb00ec8c89a08b93e7c9d42f674a2973bMD52trueAnonymousREADTHUMBNAILPDF - Andriely Íris Silva de Araújo.pdf.jpgPDF - Andriely Íris Silva de Araújo.pdf.jpgGenerated Thumbnailimage/jpeg3660https://repositorio.uepb.edu.br/bitstreams/9cc31099-a865-4224-ba19-502d7ffbab39/download35fbe26ccc6e93893e887861cfbd0f7fMD53falseAnonymousREAD123456789/738082026-05-06T11:49:23.444060Zopen.accessoai:repositorio.uepb.edu.br:123456789/73808https://repositorio.uepb.edu.brRepositório InstitucionalPUBhttp://dspace.bc.uepb.edu.br/oai/requestsibuepb@setor.uepb.edu.bropendoar:2026-05-06T11:49:23Repositório Institucional da Universidade Estadual da Paraíba (UEPB) - Universidade Estadual da Paraíba (UEPB)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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 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
| format |
masterThesis |
| status_str |
publishedVersion |
| 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 |
| dc.language.iso.fl_str_mv |
por |
| language |
por |
| 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 |
Universidade Estadual da Paraíba |
| dc.publisher.program.fl_str_mv |
Programa de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEM |
| dc.publisher.initials.fl_str_mv |
UEPB |
| dc.publisher.country.fl_str_mv |
BR |
| dc.publisher.department.fl_str_mv |
Pró-Reitoria de Pós-Graduação e Pesquisa - PRPGP Pró-Reitoria de Pós-Graduação e Pesquisa - PRPGP |
| publisher.none.fl_str_mv |
Universidade Estadual da Paraíba |
| dc.source.none.fl_str_mv |
reponame:Repositório Institucional da Universidade Estadual da Paraíba (UEPB) instname:Universidade Estadual da Paraíba (UEPB) instacron:UEPB |
| instname_str |
Universidade Estadual da Paraíba (UEPB) |
| instacron_str |
UEPB |
| institution |
UEPB |
| reponame_str |
Repositório Institucional da Universidade Estadual da Paraíba (UEPB) |
| collection |
Repositório Institucional da Universidade Estadual da Paraíba (UEPB) |
| bitstream.url.fl_str_mv |
https://repositorio.uepb.edu.br/bitstreams/e4cf5fa8-897d-4c0c-8106-8d20a5b8723a/download https://repositorio.uepb.edu.br/bitstreams/af1927a1-ae62-46ba-97c5-5202a7e95d5b/download https://repositorio.uepb.edu.br/bitstreams/56daf115-aa85-42a9-87f7-148284ac41a7/download https://repositorio.uepb.edu.br/bitstreams/9cc31099-a865-4224-ba19-502d7ffbab39/download |
| bitstream.checksum.fl_str_mv |
6052ae61e77222b2086e666b7ae213ce ea12793326f265c7d8ea2bcdd2c49d6f b00ec8c89a08b93e7c9d42f674a2973b 35fbe26ccc6e93893e887861cfbd0f7f |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da Universidade Estadual da Paraíba (UEPB) - Universidade Estadual da Paraíba (UEPB) |
| repository.mail.fl_str_mv |
sibuepb@setor.uepb.edu.br |
| _version_ |
1865082766647885824 |