Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas

Detalhes bibliográficos
Ano de defesa: 2019
Autor(a) principal: Bonfim, Cez?rio Silvino
Orientador(a): Rosa, Marcos Grilo lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Estadual de Feira de Santana
Programa de Pós-Graduação: Mestrado Profissional em Matem?tica
Departamento: DEPARTAMENTO DE CI?NCIAS EXATAS
País: Brasil
Palavras-chave em Português:
Fun??o quadr?tica
Abordagem geom?trica
Metodologias de ensino
Palavras-chave em Inglês:
Quadratic function
Geometrical approach
Teaching methodologies
Área do conhecimento CNPq:
MATEMATICA::GEOMETRIA E TOPOLOGIA
Link de acesso: http://tede2.uefs.br:8080/handle/tede/980
Resumo: Since the Mathematical discipline was introduced in the curriculum of Secondary Education in the early 21st Century from the fusion of Algebra, Geometry and Arithmetic, Function content has played the role of connecting the knowledge coming from these three pillars of mathematical knowledge. However, the historicity of the function teaching approach points to a progressive distancing from the unifying role attributed to functional thinking. Among the various cognitive and epistemological drawbacks, there is an exaltation of the algebraic approach over the geometric approach, which we conjecture as essential for the development of mathematical knowledge. Among the various types of functions addressed in high school, the quadratic function is the most studied by students, along with the 1o polynomial function, appearing in the most diverse contexts of explanation of mathematical knowledge. This paper synthesizes the methodological trends of quadratic function teaching and makes an analysis of teaching strategies that uses the geometric approach to consolidate functional thinking. For this, we used the systematic literature review, which points out that geometry has been recurrent in studies that propose innovative strategies for teaching quadratic functions and that strategies in which a geometric approach is not relevant approach the traditional teaching proposals
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spelling Rosa, Marcos Grilo98294571504http://lattes.cnpq.br/210501566124057196231270572Bonfim, Cez?rio Silvino2020-03-17T23:02:53Z2019-11-20BONFIM, Cez?rio Silvino. Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas. 2019. 81f. Disserta??o (Mestrado Profissional em Matem?tica) - Universidade Estadual de Feira de Santana, Feira de Santana, 2019.http://tede2.uefs.br:8080/handle/tede/980Since the Mathematical discipline was introduced in the curriculum of Secondary Education in the early 21st Century from the fusion of Algebra, Geometry and Arithmetic, Function content has played the role of connecting the knowledge coming from these three pillars of mathematical knowledge. However, the historicity of the function teaching approach points to a progressive distancing from the unifying role attributed to functional thinking. Among the various cognitive and epistemological drawbacks, there is an exaltation of the algebraic approach over the geometric approach, which we conjecture as essential for the development of mathematical knowledge. Among the various types of functions addressed in high school, the quadratic function is the most studied by students, along with the 1o polynomial function, appearing in the most diverse contexts of explanation of mathematical knowledge. This paper synthesizes the methodological trends of quadratic function teaching and makes an analysis of teaching strategies that uses the geometric approach to consolidate functional thinking. For this, we used the systematic literature review, which points out that geometry has been recurrent in studies that propose innovative strategies for teaching quadratic functions and that strategies in which a geometric approach is not relevant approach the traditional teaching proposalsDesde que a disciplina Matem?tica foi introduzida na grade curricular do Ensino Secund ?rio no in?cio do S?culo XXI a partir da fus?o da ?lgebra, Geometria e Aritm?tica, o conte?do Fun??o tem desempenhado o papel de conectar os saberes oriundos desses tr?s pilares do conhecimento matem?tico. No entanto, a historicidade da abordagem do ensino de fun??o aponta para um distanciamento progressivo do papel uni cador atribu?do ao pensamento funcional. Dentre os v?rios inconvenientes cognitivos e epistemol?gicos, percebe-se uma exalta??o da abordagem alg?brica em detrimento da abordagem geom ?trica, a qual conjecturamos como essencial para o desenvolvimento do conhecimento matem?tico. Dentre os v?rios tipos de fun??es abordadas no Ensino M?dio, a fun??o quadr?tica ? a mais estudada pelos alunos, ao lado da fun??o polinomial do 1o grau, aparecendo nos mais diversos contextos de explana??o do conhecimento matem?tico. Esse trabalho sintetiza as tend?ncias metodol?gicas de ensino de fun??o quadr?tica e faz uma an?lise das estrat?gias de ensino que usa a abordagem geom?trica com o objetivo de consolidar o pensamento funcional. Para tanto, fez-se uso da revis?o sistem?tica de literatura, a qual, aponta que a geometria tem sido recorrente nos estudos que prop?em estrat?gias inovadoras para o ensino de fun??es quadr?ticas e que as estrat?gias em que se n?o d? relev?ncia a uma abordagem geom?trica se aproximam das propostas tradicionais de ensinoSubmitted by Verena Pereira (verenagoncalves@uefs.br) on 2020-03-17T23:02:53Z No. of bitstreams: 1 disserta??oCEZ?RIO.pdf: 3106669 bytes, checksum: 13f713deecdc4e403599c7e36180f9df (MD5)Made available in DSpace on 2020-03-17T23:02:53Z (GMT). No. of bitstreams: 1 disserta??oCEZ?RIO.pdf: 3106669 bytes, checksum: 13f713deecdc4e403599c7e36180f9df (MD5) Previous issue date: 2019-11-20Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPESConselho Nacional de Pesquisa e Desenvolvimento Cient?fico e Tecnol?gico - CNPqapplication/pdfhttp://tede2.uefs.br:8080/retrieve/6423/disserta%c3%a7%c3%a3oCEZ%c3%81RIO.pdf.jpgporUniversidade Estadual de Feira de SantanaMestrado Profissional em Matem?ticaUEFSBrasilDEPARTAMENTO DE CI?NCIAS EXATASFun??o quadr?ticaAbordagem geom?tricaMetodologias de ensinoQuadratic functionGeometrical approachTeaching methodologiesMATEMATICA::GEOMETRIA E TOPOLOGIAUma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-7971474019206770306600600600600600-5486832816611506211635788088499122062935904625501369753661802873727776104890info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEFSinstname:Universidade Estadual de Feira de Santana (UEFS)instacron:UEFSTHUMBNAILdisserta??oCEZ?RIO.pdf.jpgdisserta??oCEZ?RIO.pdf.jpgimage/jpeg4763http://tede2.uefs.br:8080/bitstream/tede/980/4/disserta%C3%A7%C3%A3oCEZ%C3%81RIO.pdf.jpgaa655237cdf66543d94d809b2c3891aaMD54TEXTdisserta??oCEZ?RIO.pdf.txtdisserta??oCEZ?RIO.pdf.txttext/plain142818http://tede2.uefs.br:8080/bitstream/tede/980/3/disserta%C3%A7%C3%A3oCEZ%C3%81RIO.pdf.txt67ae4761f11238855f208fc38199b82fMD53ORIGINALdisserta??oCEZ?RIO.pdfdisserta??oCEZ?RIO.pdfapplication/pdf3106669http://tede2.uefs.br:8080/bitstream/tede/980/2/disserta%C3%A7%C3%A3oCEZ%C3%81RIO.pdf13f713deecdc4e403599c7e36180f9dfMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82089http://tede2.uefs.br:8080/bitstream/tede/980/1/license.txt7b5ba3d2445355f386edab96125d42b7MD51tede/9802025-09-10 01:23:01.957oai:tede2.uefs.br:8080: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Biblioteca Digital de Teses e Dissertaçõeshttp://tede2.uefs.br:8080/PUBhttp://tede2.uefs.br:8080/oai/requestbcuefs@uefs.br|| bcref@uefs.br||bcuefs@uefs.bropendoar:2025-09-10T04:23:01Biblioteca Digital de Teses e Dissertações da UEFS - Universidade Estadual de Feira de Santana (UEFS)false
dc.title.por.fl_str_mv Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
title Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
spellingShingle Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
Bonfim, Cez?rio Silvino
Fun??o quadr?tica
Abordagem geom?trica
Metodologias de ensino
Quadratic function
Geometrical approach
Teaching methodologies
MATEMATICA::GEOMETRIA E TOPOLOGIA
title_short Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
title_full Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
title_fullStr Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
title_full_unstemmed Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
title_sort Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas
author Bonfim, Cez?rio Silvino
author_facet Bonfim, Cez?rio Silvino
author_role author
dc.contributor.advisor1.fl_str_mv Rosa, Marcos Grilo
dc.contributor.advisor1ID.fl_str_mv 98294571504
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2105015661240571
dc.contributor.authorID.fl_str_mv 96231270572
dc.contributor.author.fl_str_mv Bonfim, Cez?rio Silvino
contributor_str_mv Rosa, Marcos Grilo
dc.subject.por.fl_str_mv Fun??o quadr?tica
Abordagem geom?trica
Metodologias de ensino
topic Fun??o quadr?tica
Abordagem geom?trica
Metodologias de ensino
Quadratic function
Geometrical approach
Teaching methodologies
MATEMATICA::GEOMETRIA E TOPOLOGIA
dc.subject.eng.fl_str_mv Quadratic function
Geometrical approach
Teaching methodologies
dc.subject.cnpq.fl_str_mv MATEMATICA::GEOMETRIA E TOPOLOGIA
description Since the Mathematical discipline was introduced in the curriculum of Secondary Education in the early 21st Century from the fusion of Algebra, Geometry and Arithmetic, Function content has played the role of connecting the knowledge coming from these three pillars of mathematical knowledge. However, the historicity of the function teaching approach points to a progressive distancing from the unifying role attributed to functional thinking. Among the various cognitive and epistemological drawbacks, there is an exaltation of the algebraic approach over the geometric approach, which we conjecture as essential for the development of mathematical knowledge. Among the various types of functions addressed in high school, the quadratic function is the most studied by students, along with the 1o polynomial function, appearing in the most diverse contexts of explanation of mathematical knowledge. This paper synthesizes the methodological trends of quadratic function teaching and makes an analysis of teaching strategies that uses the geometric approach to consolidate functional thinking. For this, we used the systematic literature review, which points out that geometry has been recurrent in studies that propose innovative strategies for teaching quadratic functions and that strategies in which a geometric approach is not relevant approach the traditional teaching proposals
publishDate 2019
dc.date.issued.fl_str_mv 2019-11-20
dc.date.accessioned.fl_str_mv 2020-03-17T23:02:53Z
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 BONFIM, Cez?rio Silvino. Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas. 2019. 81f. Disserta??o (Mestrado Profissional em Matem?tica) - Universidade Estadual de Feira de Santana, Feira de Santana, 2019.
dc.identifier.uri.fl_str_mv http://tede2.uefs.br:8080/handle/tede/980
identifier_str_mv BONFIM, Cez?rio Silvino. Uma revis?o sistem?tica sobre a abordagem geom?trica no ensino de fun??es quadr?ticas. 2019. 81f. Disserta??o (Mestrado Profissional em Matem?tica) - Universidade Estadual de Feira de Santana, Feira de Santana, 2019.
url http://tede2.uefs.br:8080/handle/tede/980
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Universidade Estadual de Feira de Santana
dc.publisher.program.fl_str_mv Mestrado Profissional em Matem?tica
dc.publisher.initials.fl_str_mv UEFS
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE CI?NCIAS EXATAS
publisher.none.fl_str_mv Universidade Estadual de Feira de Santana
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