Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental
| Ano de defesa: | 2010 |
|---|---|
| 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: |
Ensino de Física
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/123456789/73693 |
Resumo: | This master research work had as its aims to investigate, apply and analyze a didactical intervention on the teaching of Geometry by using mathematical modeling as a learning environment for taking the group students of the Year 7 difficulties over. The students showed difficulties on the geometrical contents, lack of studying habit and doing work and research in groups. For that, is was elaborated and applied a Didactical Propose evolving interactive activities, having as starting point problem-situations that lead the students to elaborate mathematical modeling to facilitate and to give intuitive support to the processes of teaching and learning Geometry. This research work is presented as a case study, by questionnaire, pre and post-tests, activities and in loco observations, done with students of the Year 7 E of the Municipal Secondary School Irmão Damião, located in the city of Lagoa Seca PB. The students group was composed of twenty two from 12 to 18 years old, as the majority from 13 to 15 years old and most of them leaving in the rural area. The data collection was done in six moments from six categories, including the triangulation technique for verifying the data currency. During the didactical intervention, the students did activities which lead them to construct plan maps and marquises about two classroom (Year 7 E and F) having as theoretical framework the procedure of modeling researched by Biembengut and the explicit of mathematical modeling as learning environment by Barbosa, making possible the intermediation between the new knowledge and the known by the student, according to the Vygotsky socio-constructivist theory. As findings, the research has made explicit the students previous and explored knowledge as well as shown to be the Didactical Propose adequate. |
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2015-09-25T12:18:12Z2026-02-27T12:40:44Z2012-07-112010-12-17SOUSA, Danielly Barbosa de. Mathematical Modeling as a Learning Environment on Geometrical Contents in the Year 7 of Secondary Level. 2010. 294 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010.https://repositorio.uepb.edu.br/handle/123456789/73693This master research work had as its aims to investigate, apply and analyze a didactical intervention on the teaching of Geometry by using mathematical modeling as a learning environment for taking the group students of the Year 7 difficulties over. The students showed difficulties on the geometrical contents, lack of studying habit and doing work and research in groups. For that, is was elaborated and applied a Didactical Propose evolving interactive activities, having as starting point problem-situations that lead the students to elaborate mathematical modeling to facilitate and to give intuitive support to the processes of teaching and learning Geometry. This research work is presented as a case study, by questionnaire, pre and post-tests, activities and in loco observations, done with students of the Year 7 E of the Municipal Secondary School Irmão Damião, located in the city of Lagoa Seca PB. The students group was composed of twenty two from 12 to 18 years old, as the majority from 13 to 15 years old and most of them leaving in the rural area. The data collection was done in six moments from six categories, including the triangulation technique for verifying the data currency. During the didactical intervention, the students did activities which lead them to construct plan maps and marquises about two classroom (Year 7 E and F) having as theoretical framework the procedure of modeling researched by Biembengut and the explicit of mathematical modeling as learning environment by Barbosa, making possible the intermediation between the new knowledge and the known by the student, according to the Vygotsky socio-constructivist theory. As findings, the research has made explicit the students previous and explored knowledge as well as shown to be the Didactical Propose adequate.Esta pesquisa de mestrado teve como objetivo investigar, aplicar e analisar uma intervenção didática no ensino da Geometria utilizando a modelagem matemática como ambiente de aprendizagem para superar as dificuldades apresentadas por uma turma do 7º Ano, em relação ao domínio de conteúdos geométricos, falta de hábitos de estudo, da realização de trabalhos e pesquisas em grupos. Para isso, foi elaborada e aplicada uma Proposta Didática envolvendo atividades interativas, tendo como ponto de partida situações-problema que levaram os alunos a elaborarem modelos matemáticos para facilitar e dar suporte intuitivo ao processo de ensino e aprendizagem da Geometria. Esta pesquisa apresenta-se como um estudo de caso, por meio de questionário, pré e pós-testes, atividades e observações in loco, realizado em uma turma do 7º Ano E da Escola Municipal de Ensino Fundamental Irmão Damião, localizada na cidade de Lagoa Seca PB. A turma, composta de vinte e dois alunos, se apresentava na faixa etária de 12 a 18 anos, sendo a maioria entre 13 e 15 anos e grande parte residentes na zona rural. A coleta de dados se deu em seis momentos a partir de seis categorias, incluindo a técnica da triangulação para verificar a coerência dos resultados. Durante a intervenção didática, os alunos realizaram atividades que levaram à construção de plantas baixas e de maquetes referentes a duas salas de aulas (7º Ano E e 7º Ano F) tendo como fundamento teórico os procedimentos de modelação pesquisados por Biembengut e a explicitação de modelagem matemática como ambiente de aprendizagem na visão de Barbosa, possibilitando a intermediação entre o conhecimento novo e o dominado pelo aluno, conforme teoria sócioconstrutivista de Vygotsky. Como resultados, a pesquisa explicitou os conhecimentos prévios e explorados pelos alunos bem como mostrou a adequação da Proposta Didática.application/pdfUniversidade Estadual da ParaíbaPrograma de Pós-Graduação em Ensino de Ciências e Educação Matemática - PPGECEMUEPBBREnsino de FísicaPró-Reitoria de Pós-Graduação e Pesquisa - PRPGPTeaching MathematicsGeometryMathematical ModelingCNPQEnsino de MatemáticaGeometriaModelagem MatemáticaModelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamentalMathematical Modeling as Learning Environment of Algebraic Content in the Year 9 of Secondary Levelinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisFaria, Paulo Cézar dehttp://lattes.cnpq.br/3630521378837174Silva, Ana Paula Bispo daRêgo, Rômulo Marinho dohttp://lattes.cnpq.br/5702675091099583Sousa, Danielly Barbosa deinfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da Universidade Estadual da Paraíba (UEPB)instname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBORIGINALDanielly Barbosa de Sousa_1.pdfapplication/pdf1848724https://repositorio.uepb.edu.br/bitstreams/3ddcd189-06ed-447a-9d52-da2be59a57e7/downloadac658a0c91828f711b8ac9f384a7dc17MD51trueAnonymousREADTHUMBNAILDanielly Barbosa de Sousa_1.pdf.jpgDanielly Barbosa de Sousa_1.pdf.jpgGenerated Thumbnailimage/jpeg3474https://repositorio.uepb.edu.br/bitstreams/477ca0e3-a88a-4333-a8e4-bcff2eee556b/downloadb4de2e8177885a474cf6190d449e1dd0MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81324https://repositorio.uepb.edu.br/bitstreams/c5585e04-6459-409c-a584-17412751917a/downloadea12793326f265c7d8ea2bcdd2c49d6fMD53falseAnonymousREAD123456789/736932026-05-06T11:48:40.069988Zopen.accessoai:repositorio.uepb.edu.br:123456789/73693https://repositorio.uepb.edu.brRepositório InstitucionalPUBhttp://dspace.bc.uepb.edu.br/oai/requestsibuepb@setor.uepb.edu.bropendoar:2026-05-06T11:48:40Repositório Institucional da Universidade Estadual da Paraíba (UEPB) - Universidade Estadual da Paraíba (UEPB)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 |
| dc.title.none.fl_str_mv |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| dc.title.alternative.eng.fl_str_mv |
Mathematical Modeling as Learning Environment of Algebraic Content in the Year 9 of Secondary Level |
| title |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| spellingShingle |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental Sousa, Danielly Barbosa de Teaching Mathematics Geometry Mathematical Modeling CNPQ Ensino de Matemática Geometria Modelagem Matemática |
| title_short |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| title_full |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| title_fullStr |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| title_full_unstemmed |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| title_sort |
Modelagem matemática como ambiente de aprendizagem de conteúdos geométricos no 7º Ano do ensino fundamental |
| author |
Sousa, Danielly Barbosa de |
| author_facet |
Sousa, Danielly Barbosa de |
| author_role |
author |
| dc.contributor.referee1.fl_str_mv |
Faria, Paulo Cézar de |
| dc.contributor.referee1Lattes.fl_str_mv |
http://lattes.cnpq.br/3630521378837174 |
| dc.contributor.referee2.fl_str_mv |
Silva, Ana Paula Bispo da |
| dc.contributor.advisor1.fl_str_mv |
Rêgo, Rômulo Marinho do |
| dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/5702675091099583 |
| dc.contributor.author.fl_str_mv |
Sousa, Danielly Barbosa de |
| contributor_str_mv |
Faria, Paulo Cézar de Silva, Ana Paula Bispo da Rêgo, Rômulo Marinho do |
| dc.subject.eng.fl_str_mv |
Teaching Mathematics Geometry Mathematical Modeling |
| topic |
Teaching Mathematics Geometry Mathematical Modeling CNPQ Ensino de Matemática Geometria Modelagem Matemática |
| dc.subject.cnpq.fl_str_mv |
CNPQ |
| dc.subject.por.fl_str_mv |
Ensino de Matemática Geometria Modelagem Matemática |
| description |
This master research work had as its aims to investigate, apply and analyze a didactical intervention on the teaching of Geometry by using mathematical modeling as a learning environment for taking the group students of the Year 7 difficulties over. The students showed difficulties on the geometrical contents, lack of studying habit and doing work and research in groups. For that, is was elaborated and applied a Didactical Propose evolving interactive activities, having as starting point problem-situations that lead the students to elaborate mathematical modeling to facilitate and to give intuitive support to the processes of teaching and learning Geometry. This research work is presented as a case study, by questionnaire, pre and post-tests, activities and in loco observations, done with students of the Year 7 E of the Municipal Secondary School Irmão Damião, located in the city of Lagoa Seca PB. The students group was composed of twenty two from 12 to 18 years old, as the majority from 13 to 15 years old and most of them leaving in the rural area. The data collection was done in six moments from six categories, including the triangulation technique for verifying the data currency. During the didactical intervention, the students did activities which lead them to construct plan maps and marquises about two classroom (Year 7 E and F) having as theoretical framework the procedure of modeling researched by Biembengut and the explicit of mathematical modeling as learning environment by Barbosa, making possible the intermediation between the new knowledge and the known by the student, according to the Vygotsky socio-constructivist theory. As findings, the research has made explicit the students previous and explored knowledge as well as shown to be the Didactical Propose adequate. |
| publishDate |
2010 |
| dc.date.issued.fl_str_mv |
2010-12-17 |
| dc.date.available.fl_str_mv |
2012-07-11 |
| dc.date.accessioned.fl_str_mv |
2015-09-25T12:18:12Z 2026-02-27T12:40:44Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
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masterThesis |
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publishedVersion |
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SOUSA, Danielly Barbosa de. Mathematical Modeling as a Learning Environment on Geometrical Contents in the Year 7 of Secondary Level. 2010. 294 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010. |
| dc.identifier.uri.fl_str_mv |
https://repositorio.uepb.edu.br/handle/123456789/73693 |
| identifier_str_mv |
SOUSA, Danielly Barbosa de. Mathematical Modeling as a Learning Environment on Geometrical Contents in the Year 7 of Secondary Level. 2010. 294 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010. |
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por |
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por |
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Universidade Estadual da Paraíba |
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UEPB |
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BR |
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Ensino de Física Pró-Reitoria de Pós-Graduação e Pesquisa - PRPGP |
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Universidade Estadual da Paraíba |
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