O ensino de fractais no ensino fundamental

Detalhes bibliográficos
Autor(a) principal: Rogério da Silva Paixão
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)
Texto Completo: http://repositorio.uem.br:8080/jspui/handle/1/5549
Resumo: This work proposes the inclusion of the study of fractal geometry in elementary school, especially for its ability to make the learning of math more meaningful to students. The idea of studying fractals and the use of computer technology for its construction is based on: connections with various sciences; deficiencies of Euclidean geometry to study the forms of nature, since it is generally only appropriate for ways of coming world human, as constructions of houses, buildings, bridges, roads, machinery, etc.; the natural objects are frequently more complicated and require a richer geometry that models how fractals, allowing developing educational projects on cross-cutting issues facing the understanding of phenomena occurring in various environments; dissemination and access to computers and the information technologies at various levels of schooling; existence of the beauty in the fractals and possibility of awakening and developing the aesthetic sense as the study and art applied to the constructions of fractals, it being understood art as any action that involves both emotion, skill and creativity, sense of surprise at the order in disorder. It was concluded that fractals are an extension of the application of mathematical concepts that can allow students to visualize their applications in the arts, or science. Still, the use of computers for the construction of fractals has been understood as a facilitating student access to technology and specific programs to mathematical content
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spelling O ensino de fractais no ensino fundamentalGeometria Fractal - Ensino fundamentalSoftware SuperlogoEnsino de GeometriaCiências Exatas e da TerraMatemáticaThis work proposes the inclusion of the study of fractal geometry in elementary school, especially for its ability to make the learning of math more meaningful to students. The idea of studying fractals and the use of computer technology for its construction is based on: connections with various sciences; deficiencies of Euclidean geometry to study the forms of nature, since it is generally only appropriate for ways of coming world human, as constructions of houses, buildings, bridges, roads, machinery, etc.; the natural objects are frequently more complicated and require a richer geometry that models how fractals, allowing developing educational projects on cross-cutting issues facing the understanding of phenomena occurring in various environments; dissemination and access to computers and the information technologies at various levels of schooling; existence of the beauty in the fractals and possibility of awakening and developing the aesthetic sense as the study and art applied to the constructions of fractals, it being understood art as any action that involves both emotion, skill and creativity, sense of surprise at the order in disorder. It was concluded that fractals are an extension of the application of mathematical concepts that can allow students to visualize their applications in the arts, or science. Still, the use of computers for the construction of fractals has been understood as a facilitating student access to technology and specific programs to mathematical contentEste trabalho propõe a inclusão do estudo de geometria fractal no ensino fundamental, especialmente por sua possibilidade de tornar a aprendizagem da matemática mais significativa para os alunos. A ideia de estudar fractais e o uso de tecnologia de computador para sua construção baseia-se em: conexões com várias ciências; deficiências da Geometria Euclidiana para o estudo de formas da natureza, desde que é, em geral, apenas apropriada para formas do mundo oriundas do humano, como construções de casas, prédios, pontes, estradas, máquinas etc.; os objetos naturais são com frequência mais complicados e exigem uma geometria mais rica, que os modela com fractais, possibilitando desenvolver projetos educacionais sobre temas transversais voltados para a compreensão de fenômenos que ocorrem nos diversos ambientes; difusão e acesso aos computadores e às tecnologias da informática nos vários níveis de escolarização; existência do belo nos fractais e possibilidade do despertar e desenvolver o senso estético com o estudo e arte aplicada à construção de fractais, entendendo-se arte como toda ação que envolve simultaneamente emoção, habilidade e criatividade; sensação de surpresa diante da ordem na desordem. Concluímos então que os fractais são ampliações da aplicação de conceitos matemáticos que podem permitir que os alunos visualizem suas aplicações nas artes, ou na ciência. Ainda, o uso do computador para a construção de fractais tem sido entendido como uma facilitação do acesso dos alunos à tecnologia e aos programas específicos de conteúdo matemáticoBrasilDepartamento de MatemáticaPrograma de Pós-Graduação em Matemática em Rede Nacional (PROFMAT)UEMMaringá, PRCentro de Ciências ExatasLuciene Parron Gimenes ArantesEduardo Michel Vieira Gomes - UTFPRRodrigo Martins - UEMRogério da Silva Paixão2019-09-20T17:43:57Z2019-09-20T17:43:57Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttp://repositorio.uem.br:8080/jspui/handle/1/5549porinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)instname:Universidade Estadual de Maringá (UEM)instacron:UEM2019-09-20T17:43:57Zoai:localhost:1/5549Repositório InstitucionalPUBhttp://repositorio.uem.br:8080/oai/requestopendoar:2024-04-23T14:58:41.174835Repositório Institucional da Universidade Estadual de Maringá (RI-UEM) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv O ensino de fractais no ensino fundamental
title O ensino de fractais no ensino fundamental
spellingShingle O ensino de fractais no ensino fundamental
Rogério da Silva Paixão
Geometria Fractal - Ensino fundamental
Software Superlogo
Ensino de Geometria
Ciências Exatas e da Terra
Matemática
title_short O ensino de fractais no ensino fundamental
title_full O ensino de fractais no ensino fundamental
title_fullStr O ensino de fractais no ensino fundamental
title_full_unstemmed O ensino de fractais no ensino fundamental
title_sort O ensino de fractais no ensino fundamental
author Rogério da Silva Paixão
author_facet Rogério da Silva Paixão
author_role author
dc.contributor.none.fl_str_mv Luciene Parron Gimenes Arantes
Eduardo Michel Vieira Gomes - UTFPR
Rodrigo Martins - UEM
dc.contributor.author.fl_str_mv Rogério da Silva Paixão
dc.subject.por.fl_str_mv Geometria Fractal - Ensino fundamental
Software Superlogo
Ensino de Geometria
Ciências Exatas e da Terra
Matemática
topic Geometria Fractal - Ensino fundamental
Software Superlogo
Ensino de Geometria
Ciências Exatas e da Terra
Matemática
description This work proposes the inclusion of the study of fractal geometry in elementary school, especially for its ability to make the learning of math more meaningful to students. The idea of studying fractals and the use of computer technology for its construction is based on: connections with various sciences; deficiencies of Euclidean geometry to study the forms of nature, since it is generally only appropriate for ways of coming world human, as constructions of houses, buildings, bridges, roads, machinery, etc.; the natural objects are frequently more complicated and require a richer geometry that models how fractals, allowing developing educational projects on cross-cutting issues facing the understanding of phenomena occurring in various environments; dissemination and access to computers and the information technologies at various levels of schooling; existence of the beauty in the fractals and possibility of awakening and developing the aesthetic sense as the study and art applied to the constructions of fractals, it being understood art as any action that involves both emotion, skill and creativity, sense of surprise at the order in disorder. It was concluded that fractals are an extension of the application of mathematical concepts that can allow students to visualize their applications in the arts, or science. Still, the use of computers for the construction of fractals has been understood as a facilitating student access to technology and specific programs to mathematical content
publishDate 2014
dc.date.none.fl_str_mv 2014
2019-09-20T17:43:57Z
2019-09-20T17:43:57Z
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.uri.fl_str_mv http://repositorio.uem.br:8080/jspui/handle/1/5549
url http://repositorio.uem.br:8080/jspui/handle/1/5549
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.publisher.none.fl_str_mv Brasil
Departamento de Matemática
Programa de Pós-Graduação em Matemática em Rede Nacional (PROFMAT)
UEM
Maringá, PR
Centro de Ciências Exatas
publisher.none.fl_str_mv Brasil
Departamento de Matemática
Programa de Pós-Graduação em Matemática em Rede Nacional (PROFMAT)
UEM
Maringá, PR
Centro de Ciências Exatas
dc.source.none.fl_str_mv reponame:Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)
collection Repositório Institucional da Universidade Estadual de Maringá (RI-UEM)
repository.name.fl_str_mv Repositório Institucional da Universidade Estadual de Maringá (RI-UEM) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv
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