Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra

Detalhes bibliográficos
Autor(a) principal: Cardoso, Carlos Eduardo
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/ufscar/8092
Resumo: The concern with the basic teaching of mathematics have grown over the past years. The results presented in external evaluations and even the performance in the classroom have worried experts in education and our entire society. This study was carried out in order to seek an improvement in education and show the real sense of the mathematical concepts. We sought to develop and propose a didactic sequence that promotes students’ understanding of the key concepts of analytic geometry covered in high school showing by solving problems, geometric idea behind each algebraic development conducted over the activities proposals. It also sought to combine the technology with the help of Geoge- bra, the activities that were conventionally worked in the classroom, providing an extension of the conceptual view by the students. The didactic sequence and the results presented below were designed and rigorously applied in the classroom as well as having always been planned with the goal of transforming the student as the protagonist of ones own knowledge. So it was presented a proposal based on the Didactic Engineering which combines the geometric vision with the algebraic development not letting aside that mathematical concepts are fundamental to the intellectual development of our students.
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spelling Cardoso, Carlos EduardoBarros, Tomas Edsonhttp://lattes.cnpq.br/5442017085057925d5c196f2-e4e5-4581-a963-5d49897ab22d2016-10-20T19:58:17Z2016-10-20T19:58:17Z2016-07-04CARDOSO, Carlos Eduardo. Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8092.https://repositorio.ufscar.br/handle/ufscar/8092The concern with the basic teaching of mathematics have grown over the past years. The results presented in external evaluations and even the performance in the classroom have worried experts in education and our entire society. This study was carried out in order to seek an improvement in education and show the real sense of the mathematical concepts. We sought to develop and propose a didactic sequence that promotes students’ understanding of the key concepts of analytic geometry covered in high school showing by solving problems, geometric idea behind each algebraic development conducted over the activities proposals. It also sought to combine the technology with the help of Geoge- bra, the activities that were conventionally worked in the classroom, providing an extension of the conceptual view by the students. The didactic sequence and the results presented below were designed and rigorously applied in the classroom as well as having always been planned with the goal of transforming the student as the protagonist of ones own knowledge. So it was presented a proposal based on the Didactic Engineering which combines the geometric vision with the algebraic development not letting aside that mathematical concepts are fundamental to the intellectual development of our students.A preocupação com o ensino básico da Matemática têm crescido ao longo dos últimos anos. Os resultados apresentados em avaliações externas e o próprio rendimento em sala de aula tem preocupado especialistas em educação e toda a nossa sociedade. É no sentido de buscar uma melhoria na educação e mostrar o real sentido matemático dos conceitos trabalhados que o desenvolvimento deste trabalho ocorreu. Buscou-se desenvolver e propor uma sequência didática que promovesse o entendimento dos alunos sobre os principais conceitos de geometria analítica abordados no ensino médio mostrando, por intermédio da resolução de problemas, a ideia geométrica que está por trás de cada desenvolvimento algébrico realizado ao longo das atividades propostas. Buscou-se também aliar a tecnologia, com o auxílio do Geogebra, às atividades que convencionalmente eram trabalhadas em sala de aula, proporcionando uma ampliação da visão conceitual por parte dos alunos. A sequência didática e os resultados apresentados a seguir foram pensados e aplicados rigorosamente nas aulas além de terem sido planejados sempre com o objetivo de transformar o aluno como protagonista de seu próprio conhecimento. Apresentamos assim uma proposta com base na Engenharia Didática que alia a visão geométrica com o desenvolvimento algébrico sem nos esquecermos que os conceitos matemáticos são fundamentais para o desenvolvimento intelectual dos nossos alunos.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Mestrado Profissional em Matemática em Rede Nacional - PROFMATUFSCarGeometria analíticaGeogebraResolução de problemasEngenharia didáticaAnalytic geometryDidactic engineeringTroubleshootingCIENCIAS EXATAS E DA TERRA::MATEMATICAUma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600f736f493-7704-489b-b265-0c317b6b5107info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissCEC.pdfDissCEC.pdfapplication/pdf4202938https://repositorio.ufscar.br/bitstream/ufscar/8092/1/DissCEC.pdf4fccbbb8c30b79245c28eefa82c1ec59MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/8092/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissCEC.pdf.txtDissCEC.pdf.txtExtracted texttext/plain149617https://repositorio.ufscar.br/bitstream/ufscar/8092/3/DissCEC.pdf.txtc1c2f89ebef535ec975d59b9b96072beMD53THUMBNAILDissCEC.pdf.jpgDissCEC.pdf.jpgIM Thumbnailimage/jpeg4140https://repositorio.ufscar.br/bitstream/ufscar/8092/4/DissCEC.pdf.jpg864c79006ba9623f7af139eb646afc44MD54ufscar/80922023-09-18 18:31:01.532oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:01Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
title Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
spellingShingle Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
Cardoso, Carlos Eduardo
Geometria analítica
Geogebra
Resolução de problemas
Engenharia didática
Analytic geometry
Didactic engineering
Troubleshooting
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
title_full Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
title_fullStr Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
title_full_unstemmed Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
title_sort Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra
author Cardoso, Carlos Eduardo
author_facet Cardoso, Carlos Eduardo
author_role author
dc.contributor.author.fl_str_mv Cardoso, Carlos Eduardo
dc.contributor.advisor1.fl_str_mv Barros, Tomas Edson
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/5442017085057925
dc.contributor.authorID.fl_str_mv d5c196f2-e4e5-4581-a963-5d49897ab22d
contributor_str_mv Barros, Tomas Edson
dc.subject.por.fl_str_mv Geometria analítica
Geogebra
Resolução de problemas
Engenharia didática
topic Geometria analítica
Geogebra
Resolução de problemas
Engenharia didática
Analytic geometry
Didactic engineering
Troubleshooting
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Analytic geometry
Didactic engineering
Troubleshooting
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description The concern with the basic teaching of mathematics have grown over the past years. The results presented in external evaluations and even the performance in the classroom have worried experts in education and our entire society. This study was carried out in order to seek an improvement in education and show the real sense of the mathematical concepts. We sought to develop and propose a didactic sequence that promotes students’ understanding of the key concepts of analytic geometry covered in high school showing by solving problems, geometric idea behind each algebraic development conducted over the activities proposals. It also sought to combine the technology with the help of Geoge- bra, the activities that were conventionally worked in the classroom, providing an extension of the conceptual view by the students. The didactic sequence and the results presented below were designed and rigorously applied in the classroom as well as having always been planned with the goal of transforming the student as the protagonist of ones own knowledge. So it was presented a proposal based on the Didactic Engineering which combines the geometric vision with the algebraic development not letting aside that mathematical concepts are fundamental to the intellectual development of our students.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-10-20T19:58:17Z
dc.date.available.fl_str_mv 2016-10-20T19:58:17Z
dc.date.issued.fl_str_mv 2016-07-04
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.citation.fl_str_mv CARDOSO, Carlos Eduardo. Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8092.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/8092
identifier_str_mv CARDOSO, Carlos Eduardo. Uma proposta para o ensino de geometria analítica através da resolução de problemas e do uso do geogebra. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8092.
url https://repositorio.ufscar.br/handle/ufscar/8092
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dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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