Análise de questões de trigonometria propostas aos alunos do Ensino Fundamental pelo SARESP

Detalhes bibliográficos
Autor(a) principal: Pastor, Ederson Sales
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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spelling 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; 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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
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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.
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dc.publisher.program.fl_str_mv Programa de Estudos Pós-Graduados em Educação Matemática
dc.publisher.initials.fl_str_mv PUC-SP
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Faculdade de Ciências Exatas e Tecnologia
publisher.none.fl_str_mv Pontifícia Universidade Católica de São Paulo
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