Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Biblioteca Digital de Teses e Dissertações da PUC_SP |
Texto Completo: | https://tede2.pucsp.br/handle/handle/23245 |
Resumo: | This dissertation aims to investigate which sets of tasks are present in the questions related to trigonometry in the right triangle, proposed by SARESP in the years 2010 to 2018, and which sets of techniques, technologies and theories can be mobilized by 9th grade students of elementary school in solving these mathematical issues. We rely on the Anthropological Theory of Didactics (TAD) for the development of the praxeological analysis of the questions proposed by SARESP selected for this work. After the development of the praxeological analysis of the questions, we sought to apply them to students of the 9th grade of elementary school in two schools of the State Education Network of the State of São Paulo in order to observe and identify the mobilizations, by the students, of the techniques, technologies and theories in the resolution of the proposed questions and for that we resort to qualitative research methodology. After the development of the research, we concluded that the questions proposed by SARESP selected for this investigation start from the same type of task and for the resolution, the same mobilizations of techniques are necessary, which in turn are justified by the same theoretical-technological discourse. We also identified that a considerable group of students participating in our investigation correctly presented the mobilizations of the techniques related to trigonometry in the right triangle, but presented errors when performing the arithmetic operations |
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Lima, Gabriel Loureiro dehttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K2785409Z3Pastor, Ederson Sales2020-10-09T12:03:21Z2020-08-12Pastor, Ederson Sales. Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP. 2020. 92 f. Dissertação (Mestrado em Educação: Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2020.https://tede2.pucsp.br/handle/handle/23245This dissertation aims to investigate which sets of tasks are present in the questions related to trigonometry in the right triangle, proposed by SARESP in the years 2010 to 2018, and which sets of techniques, technologies and theories can be mobilized by 9th grade students of elementary school in solving these mathematical issues. We rely on the Anthropological Theory of Didactics (TAD) for the development of the praxeological analysis of the questions proposed by SARESP selected for this work. After the development of the praxeological analysis of the questions, we sought to apply them to students of the 9th grade of elementary school in two schools of the State Education Network of the State of São Paulo in order to observe and identify the mobilizations, by the students, of the techniques, technologies and theories in the resolution of the proposed questions and for that we resort to qualitative research methodology. After the development of the research, we concluded that the questions proposed by SARESP selected for this investigation start from the same type of task and for the resolution, the same mobilizations of techniques are necessary, which in turn are justified by the same theoretical-technological discourse. We also identified that a considerable group of students participating in our investigation correctly presented the mobilizations of the techniques related to trigonometry in the right triangle, but presented errors when performing the arithmetic operationsEsta dissertação tem como objetivo investigar quais conjuntos de tarefas estão presentes nas questões relacionadas à trigonometria no triângulo retângulo, propostas pelo SARESP nos anos de 2010 a 2018, e quais conjuntos de técnicas, tecnologias e teorias podem ser mobilizadas por estudantes do 9° ano do Ensino Fundamental na resolução dessas questões. Apoiamo-nos na Teoria Antropológica do Didático (TAD) para o desenvolvimento da análise praxeológica das questões propostas pelo SARESP selecionadas para este trabalho. Após o desenvolvimento da análise praxeológica das questões, buscamos aplicá-las a estudantes do 9° ano do Ensino Fundamental de duas escolas da rede estadual de ensino do estado de São Paulo a fim de observar e identificar as mobilizações, por parte dos alunos, das técnicas, das tecnologias e das teorias nas resoluções das questões propostas, e, para isso, recorremos à metodologia de pesquisa qualitativa. Após o desenvolvimento do trabalho, concluímos que as questões propostas pelo SARESP selecionadas para esta investigação partem do mesmo tipo de tarefa, sendo que, para a resolução, são necessárias as mesmas mobilizações de técnicas, as quais, por sua vez, são justificadas pelo mesmo discurso teórico-tecnológico. Identificamos também que um grupo considerável de alunos participantes de nossa investigação apresentaram corretamente as mobilizações das técnicas relacionadas à trigonometria no triângulo retângulo, mas apresentaram erros ao realizarem as operações aritméticasCoordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESapplication/pdfhttp://tede2.pucsp.br/tede/retrieve/52385/Ederson%20Sales%20Pastor.pdf.jpgporPontifícia Universidade Católica de São PauloPrograma de Estudos Pós-Graduados em Educação MatemáticaPUC-SPBrasilFaculdade de Ciências Exatas e TecnologiaTrigonometriaFunções trigonométricasSistema de Avaliação de Rendimento Escolar do Estado de São PauloTrigonometryTrigonometrical functionsSARESPCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAAnálise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESPinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da PUC_SPinstname:Pontifícia Universidade Católica de São Paulo (PUC-SP)instacron:PUC_SPTEXTEderson Sales Pastor.pdf.txtEderson Sales Pastor.pdf.txtExtracted texttext/plain130737https://repositorio.pucsp.br/xmlui/bitstream/handle/23245/4/Ederson%20Sales%20Pastor.pdf.txt22d1e716e63078d60defa2865c3a22b7MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-82165https://repositorio.pucsp.br/xmlui/bitstream/handle/23245/1/license.txtbd3efa91386c1718a7f26a329fdcb468MD51ORIGINALEderson Sales Pastor.pdfEderson Sales Pastor.pdfapplication/pdf1797729https://repositorio.pucsp.br/xmlui/bitstream/handle/23245/2/Ederson%20Sales%20Pastor.pdf3992c43d3c957656fee52c8d244a2ff4MD52THUMBNAILEderson Sales Pastor.pdf.jpgEderson Sales Pastor.pdf.jpgGenerated Thumbnailimage/jpeg1943https://repositorio.pucsp.br/xmlui/bitstream/handle/23245/3/Ederson%20Sales%20Pastor.pdf.jpgcc73c4c239a4c332d642ba1e7c7a9fb2MD53handle/232452022-04-28 16:12:52.223oai:repositorio.pucsp.br: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Biblioteca Digital de Teses e Dissertaçõeshttps://sapientia.pucsp.br/https://sapientia.pucsp.br/oai/requestbngkatende@pucsp.br||rapassi@pucsp.bropendoar:2022-04-28T19:12:52Biblioteca Digital de Teses e Dissertações da PUC_SP - Pontifícia Universidade Católica de São Paulo (PUC-SP)false |
dc.title.por.fl_str_mv |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
title |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
spellingShingle |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP Pastor, Ederson Sales Trigonometria Funções trigonométricas Sistema de Avaliação de Rendimento Escolar do Estado de São Paulo Trigonometry Trigonometrical functions SARESP CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
title_full |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
title_fullStr |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
title_full_unstemmed |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
title_sort |
Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP |
author |
Pastor, Ederson Sales |
author_facet |
Pastor, Ederson Sales |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Lima, Gabriel Loureiro de |
dc.contributor.authorLattes.fl_str_mv |
http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K2785409Z3 |
dc.contributor.author.fl_str_mv |
Pastor, Ederson Sales |
contributor_str_mv |
Lima, Gabriel Loureiro de |
dc.subject.por.fl_str_mv |
Trigonometria Funções trigonométricas Sistema de Avaliação de Rendimento Escolar do Estado de São Paulo |
topic |
Trigonometria Funções trigonométricas Sistema de Avaliação de Rendimento Escolar do Estado de São Paulo Trigonometry Trigonometrical functions SARESP CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Trigonometry Trigonometrical functions SARESP |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
This dissertation aims to investigate which sets of tasks are present in the questions related to trigonometry in the right triangle, proposed by SARESP in the years 2010 to 2018, and which sets of techniques, technologies and theories can be mobilized by 9th grade students of elementary school in solving these mathematical issues. We rely on the Anthropological Theory of Didactics (TAD) for the development of the praxeological analysis of the questions proposed by SARESP selected for this work. After the development of the praxeological analysis of the questions, we sought to apply them to students of the 9th grade of elementary school in two schools of the State Education Network of the State of São Paulo in order to observe and identify the mobilizations, by the students, of the techniques, technologies and theories in the resolution of the proposed questions and for that we resort to qualitative research methodology. After the development of the research, we concluded that the questions proposed by SARESP selected for this investigation start from the same type of task and for the resolution, the same mobilizations of techniques are necessary, which in turn are justified by the same theoretical-technological discourse. We also identified that a considerable group of students participating in our investigation correctly presented the mobilizations of the techniques related to trigonometry in the right triangle, but presented errors when performing the arithmetic operations |
publishDate |
2020 |
dc.date.accessioned.fl_str_mv |
2020-10-09T12:03:21Z |
dc.date.issued.fl_str_mv |
2020-08-12 |
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 |
Pastor, Ederson Sales. Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP. 2020. 92 f. Dissertação (Mestrado em Educação: Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2020. |
dc.identifier.uri.fl_str_mv |
https://tede2.pucsp.br/handle/handle/23245 |
identifier_str_mv |
Pastor, Ederson Sales. Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP. 2020. 92 f. Dissertação (Mestrado em Educação: Matemática) - Programa de Estudos Pós-Graduados em Educação Matemática, Pontifícia Universidade Católica de São Paulo, São Paulo, 2020. |
url |
https://tede2.pucsp.br/handle/handle/23245 |
dc.language.iso.fl_str_mv |
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Pontifícia Universidade Católica de São Paulo |
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Programa de Estudos Pós-Graduados em Educação Matemática |
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PUC-SP |
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Brasil |
dc.publisher.department.fl_str_mv |
Faculdade de Ciências Exatas e Tecnologia |
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Pontifícia Universidade Católica de São Paulo |
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