Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares

Detalhes bibliográficos
Ano de defesa: 2015
Autor(a) principal: Freitas, Júlio César Matias de
Orientador(a): Costa, Maria Silvana Alcântara
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://www.repositorio.ufc.br/handle/riufc/14545
Resumo: This work is focused on the application os spatial geometry teaching techniques especially the teaching of polyhedrons, being detached the Euler's theorem and regular polyhedrons (Plato's polyhedrons).Initially we analyzed the definitions and theorems and their respective demonstrations, including some history of the fantastic mathematical Leonhardo Euler, and his curiosities about his theorem for polyhedrons. We also discussed the educational difficulties of mathematics teaching and the elements that can be linked to these difficulties as well as alternatives that may be applied to teachers' teaching practice in this area. With so many difficulties, we proposed a teaching methodology based on a combination of two techniques: use of software and cooperative learning, for both methods have been much discussed as a viable alternative to education. We also detached the main thought strands of the use of software as a teaching tool or teaching machine, as well as we analyzed the cooperative teaching characteristics, showing the difficulties encountered when we tried to implement this teaching method, in addition, we also put in relief the advantages achieved after overcoming the initial obstacles. It was also analyzed the softwares Poly and Educandus that have been used in the different educational project, where we detached their potential beyond their limitations, suggesting alternatives for due complementation of the teacher who accompanied the students involved in the study. We also suggested, activities directed for the use of Poly in order to lead the participant to explore the software's potential to its maximum in order to minimize the visualization difficulties and representation of polyhedrons. Finally, we applied qualitative and quantitative assessments where we verified the potential of the used methodology compared to formal education, and we did an analysis of the most common mistakes
id UFC-7_a3971af51584741c332a3540c8a76147
oai_identifier_str oai:repositorio.ufc.br:riufc/14545
network_acronym_str UFC-7
network_name_str Repositório Institucional da Universidade Federal do Ceará (UFC)
repository_id_str
spelling Freitas, Júlio César Matias deCosta, Maria Silvana Alcântara2015-12-16T16:08:08Z2015-12-16T16:08:08Z2015FREITAS, Júlio César Matias de. Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares. 2015. 108 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Juazeiro do Norte, 2015.http://www.repositorio.ufc.br/handle/riufc/14545This work is focused on the application os spatial geometry teaching techniques especially the teaching of polyhedrons, being detached the Euler's theorem and regular polyhedrons (Plato's polyhedrons).Initially we analyzed the definitions and theorems and their respective demonstrations, including some history of the fantastic mathematical Leonhardo Euler, and his curiosities about his theorem for polyhedrons. We also discussed the educational difficulties of mathematics teaching and the elements that can be linked to these difficulties as well as alternatives that may be applied to teachers' teaching practice in this area. With so many difficulties, we proposed a teaching methodology based on a combination of two techniques: use of software and cooperative learning, for both methods have been much discussed as a viable alternative to education. We also detached the main thought strands of the use of software as a teaching tool or teaching machine, as well as we analyzed the cooperative teaching characteristics, showing the difficulties encountered when we tried to implement this teaching method, in addition, we also put in relief the advantages achieved after overcoming the initial obstacles. It was also analyzed the softwares Poly and Educandus that have been used in the different educational project, where we detached their potential beyond their limitations, suggesting alternatives for due complementation of the teacher who accompanied the students involved in the study. We also suggested, activities directed for the use of Poly in order to lead the participant to explore the software's potential to its maximum in order to minimize the visualization difficulties and representation of polyhedrons. Finally, we applied qualitative and quantitative assessments where we verified the potential of the used methodology compared to formal education, and we did an analysis of the most common mistakesEste trabalho tem como tema central a aplicação de técnicas de ensino de geometria espacial em especial o ensino de poliedros, destacando-se o Teorema de Euler e os poliedros regulares (poliedros de Platão). Analisamos as definições, teoremas e suas demonstrações, destacando-se um pouco da história do matemático Leonhardo Euler, e as curiosidades acerca do seu teorema para poliedros. Discutimos ainda as dificuldades educacionais do ensino de matemática e os elementos que podem estar ligados a essa dificuldade como também alternativas que podem ser aplicadas na prática de ensino de professores dessa área. Diante das dificuldades propomos uma metodologia de ensino baseada na combinação de duas técnicas: uso de softwares e aprendizagem cooperativa, pois, ambas vem sendo muito discutidas como alternativa viável de ensino. Destacamos inclusive quais as principais vertentes do pensamento do uso de software como ferramenta de ensino ou máquina de ensinar, assim como, analisarmos as características de ensino cooperativo, apresentando as dificuldades encontradas na tentativa de implantação desse método de ensino, além, de ressaltarmos também as vantagens alcançadas após a superação dos obstáculos iniciais. Analisou-se também os softwares Poly e Educandus que foram utilizados no projeto de ensino diferenciado, onde destacamos as potencialidades, além das limitações que estes apresentavam, sugerindo alternativas para a devida complementação do professor que acompanhe os alunos envolvidos no estudo. Sugerimos também, atividade direcionada para uso do Poly, no intuito de levar o participante a explorar todos os recursos do software ao máximo assim para minimizarmos as dificuldades de visualização e representação dos poliedros. Por último aplicamos avaliações qualitativas e quantitativas onde verificamos as potencialidades da metodologia utilizada em comparação com o ensino convencional, além de fazermos uma análise dos erros mais comuns cometidos pelos alunos do ensino convencional e os alunos do ensino experimental.Geometria espacialPoliedrosSoftware educacionalAprendizagem cooperativaTrabalhando poliedros através de aprendizagem cooperativa utilizando softwaresWorking polyhedra through cooperative learning using softwareinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisporreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFCinfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain; charset=utf-81786http://repositorio.ufc.br/bitstream/riufc/14545/2/license.txt8c4401d3d14722a7ca2d07c782a1aab3MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81786http://repositorio.ufc.br/bitstream/riufc/14545/2/license.txt8c4401d3d14722a7ca2d07c782a1aab3MD52ORIGINAL2015_dis_jcmfreitas.pdf2015_dis_jcmfreitas.pdfapplication/pdf6768313http://repositorio.ufc.br/bitstream/riufc/14545/1/2015_dis_jcmfreitas.pdf574d4c59d3c05239c1c81f5405380080MD51riufc/145452019-01-03 10:12:20.315oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2019-01-03T13:12:20Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
dc.title.en.pt_BR.fl_str_mv Working polyhedra through cooperative learning using software
title Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
spellingShingle Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
Freitas, Júlio César Matias de
Geometria espacial
Poliedros
Software educacional
Aprendizagem cooperativa
title_short Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
title_full Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
title_fullStr Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
title_full_unstemmed Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
title_sort Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares
author Freitas, Júlio César Matias de
author_facet Freitas, Júlio César Matias de
author_role author
dc.contributor.author.fl_str_mv Freitas, Júlio César Matias de
dc.contributor.advisor1.fl_str_mv Costa, Maria Silvana Alcântara
contributor_str_mv Costa, Maria Silvana Alcântara
dc.subject.por.fl_str_mv Geometria espacial
Poliedros
Software educacional
Aprendizagem cooperativa
topic Geometria espacial
Poliedros
Software educacional
Aprendizagem cooperativa
description This work is focused on the application os spatial geometry teaching techniques especially the teaching of polyhedrons, being detached the Euler's theorem and regular polyhedrons (Plato's polyhedrons).Initially we analyzed the definitions and theorems and their respective demonstrations, including some history of the fantastic mathematical Leonhardo Euler, and his curiosities about his theorem for polyhedrons. We also discussed the educational difficulties of mathematics teaching and the elements that can be linked to these difficulties as well as alternatives that may be applied to teachers' teaching practice in this area. With so many difficulties, we proposed a teaching methodology based on a combination of two techniques: use of software and cooperative learning, for both methods have been much discussed as a viable alternative to education. We also detached the main thought strands of the use of software as a teaching tool or teaching machine, as well as we analyzed the cooperative teaching characteristics, showing the difficulties encountered when we tried to implement this teaching method, in addition, we also put in relief the advantages achieved after overcoming the initial obstacles. It was also analyzed the softwares Poly and Educandus that have been used in the different educational project, where we detached their potential beyond their limitations, suggesting alternatives for due complementation of the teacher who accompanied the students involved in the study. We also suggested, activities directed for the use of Poly in order to lead the participant to explore the software's potential to its maximum in order to minimize the visualization difficulties and representation of polyhedrons. Finally, we applied qualitative and quantitative assessments where we verified the potential of the used methodology compared to formal education, and we did an analysis of the most common mistakes
publishDate 2015
dc.date.accessioned.fl_str_mv 2015-12-16T16:08:08Z
dc.date.available.fl_str_mv 2015-12-16T16:08:08Z
dc.date.issued.fl_str_mv 2015
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 FREITAS, Júlio César Matias de. Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares. 2015. 108 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Juazeiro do Norte, 2015.
dc.identifier.uri.fl_str_mv http://www.repositorio.ufc.br/handle/riufc/14545
identifier_str_mv FREITAS, Júlio César Matias de. Trabalhando poliedros através de aprendizagem cooperativa utilizando softwares. 2015. 108 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Juazeiro do Norte, 2015.
url http://www.repositorio.ufc.br/handle/riufc/14545
dc.language.iso.fl_str_mv por
language por
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Federal do Ceará (UFC)
instname:Universidade Federal do Ceará (UFC)
instacron:UFC
instname_str Universidade Federal do Ceará (UFC)
instacron_str UFC
institution UFC
reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
collection Repositório Institucional da Universidade Federal do Ceará (UFC)
bitstream.url.fl_str_mv http://repositorio.ufc.br/bitstream/riufc/14545/2/license.txt
http://repositorio.ufc.br/bitstream/riufc/14545/2/license.txt
http://repositorio.ufc.br/bitstream/riufc/14545/1/2015_dis_jcmfreitas.pdf
bitstream.checksum.fl_str_mv 8c4401d3d14722a7ca2d07c782a1aab3
8c4401d3d14722a7ca2d07c782a1aab3
574d4c59d3c05239c1c81f5405380080
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)
repository.mail.fl_str_mv bu@ufc.br || repositorio@ufc.br
_version_ 1847793057925169152