Uma proposta metodológica para o ensino das funções trigonométricas

Detalhes bibliográficos
Autor(a) principal: Batista, Valéria Nogueira
Data de Publicação: 2015
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFSCAR
Texto Completo: https://repositorio.ufscar.br/handle/20.500.14289/7376
Resumo: This research has focused primarily on teaching trigonometric sine and cosine functions. The proposal is to organize the teaching of these functions, in order to improve good learning situations to students, to encourage the transition of trigonometric ratios in right triangle to the trigonometric circle with the use of manipulative materials and GeoGebra software. Based on the theoretical assumptions described in the High School National Curriculum Standards and Curriculum of the State of São Paulo seeking to outline for the teacher, the skills and expertise that student must acquire to be made in basic education, are presented educational alternatives. It aims to help students understand the need and the practical applicability of Trigonometric Functions. Analyzing how these functions are covered in the curriculum documents and books of the National Textbook Program (PNLD 2015), we tried to develop a pioneering work and research including mathematical modeling and taking as reference the exploratory and investigative activities.
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spelling Batista, Valéria NogueiraSeixas, Wladimirhttp://lattes.cnpq.br/169735297472832735f45c6b-2056-4544-9744-bd4af1bc955a2016-09-21T18:45:31Z2016-09-21T18:45:31Z2015-08-28BATISTA, Valéria Nogueira. Uma proposta metodológica para o ensino das funções trigonométricas. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/7376.https://repositorio.ufscar.br/handle/20.500.14289/7376This research has focused primarily on teaching trigonometric sine and cosine functions. The proposal is to organize the teaching of these functions, in order to improve good learning situations to students, to encourage the transition of trigonometric ratios in right triangle to the trigonometric circle with the use of manipulative materials and GeoGebra software. Based on the theoretical assumptions described in the High School National Curriculum Standards and Curriculum of the State of São Paulo seeking to outline for the teacher, the skills and expertise that student must acquire to be made in basic education, are presented educational alternatives. It aims to help students understand the need and the practical applicability of Trigonometric Functions. Analyzing how these functions are covered in the curriculum documents and books of the National Textbook Program (PNLD 2015), we tried to develop a pioneering work and research including mathematical modeling and taking as reference the exploratory and investigative activities.Esta pesquisa apresenta como foco principal o ensino das funções trigonométricas seno e cosseno. A proposta é organizar o ensino dessas funções, de forma a potencializar boas situações de aprendizagens aos alunos, que favoreçam a transição das razões trigonométricas no triângulo retângulo para a circunferência trigonométrica com o uso de materiais manipulativos e do software GeoGebra. Partindo dos pressupostos teóricos descritos nos Parâmetros Curriculares Nacionais do Ensino Médio e no Currículo do Estado de São Paulo que procuram delinear para o professor, as habilidades e competências que seu aluno deve adquirir ao ser formado na educação básica, apresentam-se alternativas de ensino que visam contribuir para que os alunos percebam a necessidade e a aplicabilidade prática das Funções Trigonométricas. Analisando como essas funções são abordadas nos documentos curriculares e nos livros do Programa Nacional do Livro Didático (PNLD 2015), procurou-se desenvolver um trabalho de exploração e investigação incluindo a modelagem matemática e tendo como referencial as atividades exploratório-investigativas.Não recebi financiamentoporUniversidade Federal de São CarlosCâmpus São CarlosPrograma de Pós-Graduação em Ensino de Ciências Exatas - PPGECEUFSCarFunções trigonométricasGeoGebraModelagem matemáticaTarefas exploratório-investigativasMateriais manipulativosTrigonometric functionsMathematical modelingExploratory- investigative tasksManipulative materialsCIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRAUma proposta metodológica para o ensino das funções trigonométricasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisOnline600600983252aa-d7c4-4ff7-875d-ba886228a023info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFSCARinstname:Universidade Federal de São Carlos (UFSCAR)instacron:UFSCARORIGINALDissVNB.pdfDissVNB.pdfapplication/pdf7200504https://repositorio.ufscar.br/bitstreams/89c36c47-cf2a-47f4-a145-f486eb885fe7/download0d66223e654bec924871b68991656af7MD51trueAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81957https://repositorio.ufscar.br/bitstreams/d8badbee-9465-4854-8aaf-5024d3e9eeaa/downloadae0398b6f8b235e40ad82cba6c50031dMD52falseAnonymousREADTEXTDissVNB.pdf.txtDissVNB.pdf.txtExtracted texttext/plain299391https://repositorio.ufscar.br/bitstreams/4880f767-9fbf-4e68-8a10-390c0f70bbe7/downloadb166e92b75e21517123ae56e81edf288MD55falseAnonymousREADTHUMBNAILDissVNB.pdf.jpgDissVNB.pdf.jpgIM Thumbnailimage/jpeg2758https://repositorio.ufscar.br/bitstreams/ef8a4e69-855b-4467-8ec3-3fb7f9626187/download010780c1210d77492935a9ca96911eb6MD56falseAnonymousREAD20.500.14289/73762025-02-05 17:08:24.882Acesso abertoopen.accessoai:repositorio.ufscar.br:20.500.14289/7376https://repositorio.ufscar.brRepositório InstitucionalPUBhttps://repositorio.ufscar.br/oai/requestrepositorio.sibi@ufscar.bropendoar:43222025-02-05T20:08:24Repositório Institucional da UFSCAR - Universidade Federal de São Carlos (UFSCAR)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
dc.title.por.fl_str_mv Uma proposta metodológica para o ensino das funções trigonométricas
title Uma proposta metodológica para o ensino das funções trigonométricas
spellingShingle Uma proposta metodológica para o ensino das funções trigonométricas
Batista, Valéria Nogueira
Funções trigonométricas
GeoGebra
Modelagem matemática
Tarefas exploratório-investigativas
Materiais manipulativos
Trigonometric functions
Mathematical modeling
Exploratory- investigative tasks
Manipulative materials
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA
title_short Uma proposta metodológica para o ensino das funções trigonométricas
title_full Uma proposta metodológica para o ensino das funções trigonométricas
title_fullStr Uma proposta metodológica para o ensino das funções trigonométricas
title_full_unstemmed Uma proposta metodológica para o ensino das funções trigonométricas
title_sort Uma proposta metodológica para o ensino das funções trigonométricas
author Batista, Valéria Nogueira
author_facet Batista, Valéria Nogueira
author_role author
dc.contributor.author.fl_str_mv Batista, Valéria Nogueira
dc.contributor.advisor1.fl_str_mv Seixas, Wladimir
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1697352974728327
dc.contributor.authorID.fl_str_mv 35f45c6b-2056-4544-9744-bd4af1bc955a
contributor_str_mv Seixas, Wladimir
dc.subject.por.fl_str_mv Funções trigonométricas
GeoGebra
Modelagem matemática
Tarefas exploratório-investigativas
Materiais manipulativos
topic Funções trigonométricas
GeoGebra
Modelagem matemática
Tarefas exploratório-investigativas
Materiais manipulativos
Trigonometric functions
Mathematical modeling
Exploratory- investigative tasks
Manipulative materials
CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA
dc.subject.eng.fl_str_mv Trigonometric functions
Mathematical modeling
Exploratory- investigative tasks
Manipulative materials
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA
description This research has focused primarily on teaching trigonometric sine and cosine functions. The proposal is to organize the teaching of these functions, in order to improve good learning situations to students, to encourage the transition of trigonometric ratios in right triangle to the trigonometric circle with the use of manipulative materials and GeoGebra software. Based on the theoretical assumptions described in the High School National Curriculum Standards and Curriculum of the State of São Paulo seeking to outline for the teacher, the skills and expertise that student must acquire to be made in basic education, are presented educational alternatives. It aims to help students understand the need and the practical applicability of Trigonometric Functions. Analyzing how these functions are covered in the curriculum documents and books of the National Textbook Program (PNLD 2015), we tried to develop a pioneering work and research including mathematical modeling and taking as reference the exploratory and investigative activities.
publishDate 2015
dc.date.issued.fl_str_mv 2015-08-28
dc.date.accessioned.fl_str_mv 2016-09-21T18:45:31Z
dc.date.available.fl_str_mv 2016-09-21T18:45:31Z
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 BATISTA, Valéria Nogueira. Uma proposta metodológica para o ensino das funções trigonométricas. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/7376.
dc.identifier.uri.fl_str_mv https://repositorio.ufscar.br/handle/20.500.14289/7376
identifier_str_mv BATISTA, Valéria Nogueira. Uma proposta metodológica para o ensino das funções trigonométricas. 2015. Dissertação (Mestrado em Ensino de Ciências Exatas) – Universidade Federal de São Carlos, São Carlos, 2015. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/7376.
url https://repositorio.ufscar.br/handle/20.500.14289/7376
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language por
dc.relation.confidence.fl_str_mv 600
600
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE
dc.publisher.initials.fl_str_mv UFSCar
publisher.none.fl_str_mv Universidade Federal de São Carlos
Câmpus São Carlos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSCAR
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instacron:UFSCAR
instname_str Universidade Federal de São Carlos (UFSCAR)
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institution UFSCAR
reponame_str Repositório Institucional da UFSCAR
collection Repositório Institucional da UFSCAR
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