Ra?zes de n?meros complexos: uma sequ?ncia did?tica

Detalhes bibliográficos
Ano de defesa: 2019
Autor(a) principal: Costa J?nior, Cleber Luis Alves lattes
Orientador(a): Almeida, Kisnney Emiliano 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:
N?meros Complexos
Ensino de Matem?tica
Sequ?ncia Did?tica
Palavras-chave em Inglês:
Complex Numbers
Mathematics Teaching
Following teaching
Área do conhecimento CNPq:
MATEMATICA::ANALISE
Link de acesso: http://tede2.uefs.br:8080/handle/tede/1334
Resumo: This dissertation aims to present a didactic sequence with a mathematical research approach, where the teacher will have several activities at a gradual level of deepening to show a geometric relationship between the nth roots of a complex number and the vertices of a regular polygon. In order to make this investigation more palatable for students? comprehension, a programming has been developed in the MATLAB software, where students manipulate or use the application to calculate the roots and responses of the dynamically and efficiently generated picture.
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spelling Almeida, Kisnney Emiliano09856330777http://lattes.cnpq.br/275105367323164764509958587http://lattes.cnpq.br/0464427680333046Costa J?nior, Cleber Luis Alves2022-03-04T21:59:10Z2019-12-22COSTA J?NIOR, Cleber Luis Alves. Ra?zes de n?meros complexos: uma sequ?ncia did?tica. 2019. 84f. Disserta??o (Mestrado Profissional em Matem?tica) - Universidade Estadual de Feira de Santana, Feira de Santana, 2019.http://tede2.uefs.br:8080/handle/tede/1334This dissertation aims to present a didactic sequence with a mathematical research approach, where the teacher will have several activities at a gradual level of deepening to show a geometric relationship between the nth roots of a complex number and the vertices of a regular polygon. In order to make this investigation more palatable for students? comprehension, a programming has been developed in the MATLAB software, where students manipulate or use the application to calculate the roots and responses of the dynamically and efficiently generated picture.Este trabalho tem como prop?sito apresentar uma sequ?ncia did?tica com uma abordagem de investiga??o matem?tica onde o professor ter? diversas atividades propostas em um n?vel gradativo de aprofundamento para mostrar a rela??o geom?trica entre as ra?zes en?simas de um n?mero complexo e os v?rtices de um pol?gono regular. Buscando tornar essa investiga??o mais palat?vel ? compreens?o dos estudantes, foi desenvolvida uma programa??o no software MATLAB, onde os estudantes manipular?o o aplicativo para o c?lculo das ra?zes e visualiza??o da figura gerada de forma din?mica e eficiente.Submitted by Verena Pereira (verenagoncalves@uefs.br) on 2022-03-04T21:59:10Z No. of bitstreams: 1 dissertacao.pdf: 6194539 bytes, checksum: 69bd50ea63a8276001e28919c36e105b (MD5)Made available in DSpace on 2022-03-04T21:59:10Z (GMT). No. of bitstreams: 1 dissertacao.pdf: 6194539 bytes, checksum: 69bd50ea63a8276001e28919c36e105b (MD5) Previous issue date: 2019-12-22Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPESapplication/pdfhttp://tede2.uefs.br:8080/retrieve/7188/dissertacao.pdf.jpgporUniversidade Estadual de Feira de SantanaMestrado Profissional em Matem?ticaUEFSBrasilDEPARTAMENTO DE CI?NCIAS EXATASN?meros ComplexosEnsino de Matem?ticaSequ?ncia Did?ticaComplex NumbersMathematics TeachingFollowing teachingMATEMATICA::ANALISERa?zes de n?meros complexos: uma sequ?ncia did?ticainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis-7971474019206770306600600600600-5486832816611506211-7136646421940042373590462550136975366info:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEFSinstname:Universidade Estadual de Feira de Santana (UEFS)instacron:UEFSTHUMBNAILdissertacao.pdf.jpgdissertacao.pdf.jpgimage/jpeg4310http://tede2.uefs.br:8080/bitstream/tede/1334/4/dissertacao.pdf.jpg8e718e27a6b570a3995c7806037d2e55MD54TEXTdissertacao.pdf.txtdissertacao.pdf.txttext/plain81918http://tede2.uefs.br:8080/bitstream/tede/1334/3/dissertacao.pdf.txtc03db28268d896953b777728088fc21cMD53ORIGINALdissertacao.pdfdissertacao.pdfapplication/pdf6194539http://tede2.uefs.br:8080/bitstream/tede/1334/2/dissertacao.pdf69bd50ea63a8276001e28919c36e105bMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82089http://tede2.uefs.br:8080/bitstream/tede/1334/1/license.txt7b5ba3d2445355f386edab96125d42b7MD51tede/13342025-09-10 01:33:10.305oai: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:2025-09-10T04:33:10Biblioteca Digital de Teses e Dissertações da UEFS - Universidade Estadual de Feira de Santana (UEFS)false
dc.title.por.fl_str_mv Ra?zes de n?meros complexos: uma sequ?ncia did?tica
title Ra?zes de n?meros complexos: uma sequ?ncia did?tica
spellingShingle Ra?zes de n?meros complexos: uma sequ?ncia did?tica
Costa J?nior, Cleber Luis Alves
N?meros Complexos
Ensino de Matem?tica
Sequ?ncia Did?tica
Complex Numbers
Mathematics Teaching
Following teaching
MATEMATICA::ANALISE
title_short Ra?zes de n?meros complexos: uma sequ?ncia did?tica
title_full Ra?zes de n?meros complexos: uma sequ?ncia did?tica
title_fullStr Ra?zes de n?meros complexos: uma sequ?ncia did?tica
title_full_unstemmed Ra?zes de n?meros complexos: uma sequ?ncia did?tica
title_sort Ra?zes de n?meros complexos: uma sequ?ncia did?tica
author Costa J?nior, Cleber Luis Alves
author_facet Costa J?nior, Cleber Luis Alves
author_role author
dc.contributor.advisor1.fl_str_mv Almeida, Kisnney Emiliano
dc.contributor.advisor1ID.fl_str_mv 09856330777
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/2751053673231647
dc.contributor.authorID.fl_str_mv 64509958587
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0464427680333046
dc.contributor.author.fl_str_mv Costa J?nior, Cleber Luis Alves
contributor_str_mv Almeida, Kisnney Emiliano
dc.subject.por.fl_str_mv N?meros Complexos
Ensino de Matem?tica
Sequ?ncia Did?tica
topic N?meros Complexos
Ensino de Matem?tica
Sequ?ncia Did?tica
Complex Numbers
Mathematics Teaching
Following teaching
MATEMATICA::ANALISE
dc.subject.eng.fl_str_mv Complex Numbers
Mathematics Teaching
Following teaching
dc.subject.cnpq.fl_str_mv MATEMATICA::ANALISE
description This dissertation aims to present a didactic sequence with a mathematical research approach, where the teacher will have several activities at a gradual level of deepening to show a geometric relationship between the nth roots of a complex number and the vertices of a regular polygon. In order to make this investigation more palatable for students? comprehension, a programming has been developed in the MATLAB software, where students manipulate or use the application to calculate the roots and responses of the dynamically and efficiently generated picture.
publishDate 2019
dc.date.issued.fl_str_mv 2019-12-22
dc.date.accessioned.fl_str_mv 2022-03-04T21:59:10Z
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 COSTA J?NIOR, Cleber Luis Alves. Ra?zes de n?meros complexos: uma sequ?ncia did?tica. 2019. 84f. 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/1334
identifier_str_mv COSTA J?NIOR, Cleber Luis Alves. Ra?zes de n?meros complexos: uma sequ?ncia did?tica. 2019. 84f. 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/1334
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dc.relation.cnpq.fl_str_mv -713664642194004237
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv application/pdf
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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