Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas

Detalhes bibliográficos
Autor(a) principal: Aliano, Larissa Cristina
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/8673
Resumo: This dissertation has main goal analyze the Learning Situation “Cartesian coordinates and transformations in the plane” of Material Support Curriculum of the State of São Paulo, Student notebook, submit a proposal of a didactic sequence to the topic and check their effectiveness. The motivation for choosing this theme came from a study made of the results of SARESP, which present a low performance in the abilities involving this subject. The work begins with a study of issues on Cartesian coordinates of SARESP and Brazil Test, and official documents as PCN and Curriculum Proposal of the State of São Paulo. They are also appreciated opinions of some researchers in the field of education on the teaching of mathematics. We also make a brief analysis of how textbooks address the issue. Then described the planning of the teaching sequence that includes the Student Notebook activities as well as its application in two classes of students in Year 8. In implementing the activities we organize students into pairs, so that they could develop problems more autonomy and less interference from the teacher. After the implementation of the activities, students were evaluated by a test similar to the SARESP with some questions drawn from these tests and others built for myself. Using the results presented by the students in the activities and evidence did an analysis of trial and error. At the end we can conclude that our work is validated, because the students have obtained satisfactory results in the assessment, showing that the learning situation applied in the format presented propose an appropriate outcome compared with SARESP. To validate our research follow in big steps, the methodology proposed by didactic engineering. This educational product is available so that teachers can use it directly in their classes.
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spelling Aliano, Larissa CristinaPaterlini, Roberto Ribeirohttp://lattes.cnpq.br/6240750958932738http://lattes.cnpq.br/96875775351041467132cc76-8dd8-4cd0-abdf-964b3eb7adf12017-04-24T20:09:56Z2017-04-24T20:09:56Z2016-09-06ALIANO, Larissa Cristina. Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8673.https://repositorio.ufscar.br/handle/ufscar/8673This dissertation has main goal analyze the Learning Situation “Cartesian coordinates and transformations in the plane” of Material Support Curriculum of the State of São Paulo, Student notebook, submit a proposal of a didactic sequence to the topic and check their effectiveness. The motivation for choosing this theme came from a study made of the results of SARESP, which present a low performance in the abilities involving this subject. The work begins with a study of issues on Cartesian coordinates of SARESP and Brazil Test, and official documents as PCN and Curriculum Proposal of the State of São Paulo. They are also appreciated opinions of some researchers in the field of education on the teaching of mathematics. We also make a brief analysis of how textbooks address the issue. Then described the planning of the teaching sequence that includes the Student Notebook activities as well as its application in two classes of students in Year 8. In implementing the activities we organize students into pairs, so that they could develop problems more autonomy and less interference from the teacher. After the implementation of the activities, students were evaluated by a test similar to the SARESP with some questions drawn from these tests and others built for myself. Using the results presented by the students in the activities and evidence did an analysis of trial and error. At the end we can conclude that our work is validated, because the students have obtained satisfactory results in the assessment, showing that the learning situation applied in the format presented propose an appropriate outcome compared with SARESP. To validate our research follow in big steps, the methodology proposed by didactic engineering. This educational product is available so that teachers can use it directly in their classes.Esta dissertação tem como objetivo principal analisar a Situação de Aprendizagem “Coordenadas cartesianas e transformações no plano” do Material de Apoio ao Currículo do Estado de São Paulo, Caderno do Aluno, apresentar proposta de uma sequência didática para o tema e verificar sua eficácia. A motivação para escolha desse tema surgiu de um estudo que fiz dos resultados do SARESP, que apresentam um baixo desempenho nas habilidades envolvendo esse assunto. O trabalho inicia com um estudo de questões sobre Coordenadas Cartesianas do SARESP e Prova Brasil, e de documentos oficiais como PCN e Proposta Curricular do Estado de São Paulo. Também são apreciadas opiniões de alguns pesquisadores da área da educação sobre o ensino da Matemática. Fazemos ainda uma breve análise de como livros didáticos abordam o assunto. Em seguida descrevemos o planejamento da sequência didática que inclui as atividades do Caderno do Aluno assim como sua aplicação em duas classes de alunos de 8º Ano. Na aplicação das atividades organizamos os estudantes em duplas, de modo que puderam desenvolver os problemas com mais autonomia e com menor interferência do professor. Após a aplicação das atividades, os alunos foram avaliados por uma prova similar à do SARESP, com algumas questões extraídas desses testes e outras construídas por mim mesma. Usando os resultados apresentados pelos alunos nas atividades e na prova fiz uma análise dos acertos e erros. Ao final é possível concluir que nosso trabalho está validado, pois os alunos obtiveram resultados satisfatórios na avaliação, mostrando que a Situação de Aprendizagem aplicada no formato que propomos apresentou um resultado adequado comparado com o SARESP. Para validar nossa pesquisa seguimos, em grandes passos, a metodologia proposta pela engenharia didática. Esse produto didático está disponível para que docentes possam utilizá-lo diretamente em suas aulas.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Mestrado Profissional em Matemática em Rede Nacional - PROFMATUFSCarEnsino de coordenadas cartesianasSituação de aprendizagemMaterial de apoio ao currículo do estado de São PauloTeaching cartesian coordinatesLearning situationMaterial support curriculum of the state of São PauloCIENCIAS EXATAS E DA TERRA::MATEMATICAAnálise de uma situação de aprendizagem para o ensino de coordenadas cartesianasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600ffc3b0f4-2f19-47a5-93f2-db0eee85503dinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissLCA.pdfDissLCA.pdfapplication/pdf9029830https://repositorio.ufscar.br/bitstream/ufscar/8673/1/DissLCA.pdf30432f39f78daa41661df8053a2b81ddMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstream/ufscar/8673/2/license.txtae0398b6f8b235e40ad82cba6c50031dMD52TEXTDissLCA.pdf.txtDissLCA.pdf.txtExtracted texttext/plain132139https://repositorio.ufscar.br/bitstream/ufscar/8673/3/DissLCA.pdf.txt9e468cceda792d6f555a359ef83c9595MD53THUMBNAILDissLCA.pdf.jpgDissLCA.pdf.jpgIM Thumbnailimage/jpeg6438https://repositorio.ufscar.br/bitstream/ufscar/8673/4/DissLCA.pdf.jpg6a2ca8899f45a2ad55a67b5e12144ef7MD54ufscar/86732023-09-18 18:31:22.951oai:repositorio.ufscar.br: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Repositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestopendoar:43222023-09-18T18:31:22Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)false
dc.title.por.fl_str_mv Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
title Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
spellingShingle Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
Aliano, Larissa Cristina
Ensino de coordenadas cartesianas
Situação de aprendizagem
Material de apoio ao currículo do estado de São Paulo
Teaching cartesian coordinates
Learning situation
Material support curriculum of the state of São Paulo
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
title_full Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
title_fullStr Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
title_full_unstemmed Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
title_sort Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas
author Aliano, Larissa Cristina
author_facet Aliano, Larissa Cristina
author_role author
dc.contributor.authorlattes.por.fl_str_mv http://lattes.cnpq.br/9687577535104146
dc.contributor.author.fl_str_mv Aliano, Larissa Cristina
dc.contributor.advisor1.fl_str_mv Paterlini, Roberto Ribeiro
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/6240750958932738
dc.contributor.authorID.fl_str_mv 7132cc76-8dd8-4cd0-abdf-964b3eb7adf1
contributor_str_mv Paterlini, Roberto Ribeiro
dc.subject.por.fl_str_mv Ensino de coordenadas cartesianas
Situação de aprendizagem
Material de apoio ao currículo do estado de São Paulo
topic Ensino de coordenadas cartesianas
Situação de aprendizagem
Material de apoio ao currículo do estado de São Paulo
Teaching cartesian coordinates
Learning situation
Material support curriculum of the state of São Paulo
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.eng.fl_str_mv Teaching cartesian coordinates
Learning situation
Material support curriculum of the state of São Paulo
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description This dissertation has main goal analyze the Learning Situation “Cartesian coordinates and transformations in the plane” of Material Support Curriculum of the State of São Paulo, Student notebook, submit a proposal of a didactic sequence to the topic and check their effectiveness. The motivation for choosing this theme came from a study made of the results of SARESP, which present a low performance in the abilities involving this subject. The work begins with a study of issues on Cartesian coordinates of SARESP and Brazil Test, and official documents as PCN and Curriculum Proposal of the State of São Paulo. They are also appreciated opinions of some researchers in the field of education on the teaching of mathematics. We also make a brief analysis of how textbooks address the issue. Then described the planning of the teaching sequence that includes the Student Notebook activities as well as its application in two classes of students in Year 8. In implementing the activities we organize students into pairs, so that they could develop problems more autonomy and less interference from the teacher. After the implementation of the activities, students were evaluated by a test similar to the SARESP with some questions drawn from these tests and others built for myself. Using the results presented by the students in the activities and evidence did an analysis of trial and error. At the end we can conclude that our work is validated, because the students have obtained satisfactory results in the assessment, showing that the learning situation applied in the format presented propose an appropriate outcome compared with SARESP. To validate our research follow in big steps, the methodology proposed by didactic engineering. This educational product is available so that teachers can use it directly in their classes.
publishDate 2016
dc.date.issued.fl_str_mv 2016-09-06
dc.date.accessioned.fl_str_mv 2017-04-24T20:09:56Z
dc.date.available.fl_str_mv 2017-04-24T20:09:56Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
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status_str publishedVersion
dc.identifier.citation.fl_str_mv ALIANO, Larissa Cristina. Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8673.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/ufscar/8673
identifier_str_mv ALIANO, Larissa Cristina. Análise de uma situação de aprendizagem para o ensino de coordenadas cartesianas. 2016. Dissertação (Mestrado em Matemática em Rede Nacional) – Universidade Federal de São Carlos, São Carlos, 2016. Disponível em: https://repositorio.ufscar.br/handle/ufscar/8673.
url https://repositorio.ufscar.br/handle/ufscar/8673
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Câmpus São Carlos
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dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
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