Noções de geometria fractal elementar

Detalhes bibliográficos
Autor(a) principal: Araújo, Anderson Tadeu Gonçalves de
Data de Publicação: 2014
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://ri.ufs.br/jspui/handle/riufs/7383
Resumo: In this work we present some of the main elemental fractals, highlighting some Math patterns and their autosimilarities. We make suggestions of activities that can be applied in the classroom of Elementary and / or High School in order to awaken the interest of students and teachers for Math, showing its applicability in the day to day, in addition to providing students with the creation and elaboration of concepts from a di erent view of the traditional one. In addition to this presentation, we analyzed basic mathematical tools studied on the Cartesian plane and used linear algebra in order to understand the initial concepts necessary for Elemental Fractal Geometry. Finally, we have developed a brief study about one of the fundamental characteristics of a fractal, the dimension of elemental fractals.
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spelling Araújo, Anderson Tadeu Gonçalves deCardoso, José Anderson Valença2018-02-09T20:50:05Z2018-02-09T20:50:05Z2014-08-30ARAÚJO, Anderson Tadeu Gonçalves de. Noções de geometria fractal elementar. 2014. 68 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2014.http://ri.ufs.br/jspui/handle/riufs/7383In this work we present some of the main elemental fractals, highlighting some Math patterns and their autosimilarities. We make suggestions of activities that can be applied in the classroom of Elementary and / or High School in order to awaken the interest of students and teachers for Math, showing its applicability in the day to day, in addition to providing students with the creation and elaboration of concepts from a di erent view of the traditional one. In addition to this presentation, we analyzed basic mathematical tools studied on the Cartesian plane and used linear algebra in order to understand the initial concepts necessary for Elemental Fractal Geometry. Finally, we have developed a brief study about one of the fundamental characteristics of a fractal, the dimension of elemental fractals.Neste trabalho apresentamos alguns dos principais fractais elementares, ressaltando alguns padrões matemáticos e suas autossimilaridades. Fazemos sugestões de atividades que podem ser aplicadas em sala de aula do Ensino Fundamental e/ou Ensino Médio com nalidade de despertar o interesse de alunos e professores pela matemática, evidenciando sua aplicabilidade no dia-a-dia, além de proporcionar aos alunos a criação e elaboração de conceitos a partir de uma visão diferente da tradicional. Além dessa apresentação, analisamos ferramentas matemáticas básicas estudadas no plano cartesiano e recorremos à álgebra linear a m de compreender conceitos iniciais necessários à Geometria Fractal elementar. Por m, desenvolvemos um breve estudo sobre uma das características fundamentais que um fractal possui, a dimensão de fractais elementares.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESSão Cristóvão, SEporGeometriaEnsino de matemáticaFractaisFractais elementaresGeometria fractalDimensão de fractais elementaresElementary fractionsFractal geometryElementary fractions dimensionCIENCIAS EXATAS E DA TERRA::MATEMATICANoções de geometria fractal elementarinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisMestrado Profissional em MatemáticaUniversidade Federal de Sergipereponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessORIGINALANDERSON_TADEU_GONCALVES_ARAUJO.pdfANDERSON_TADEU_GONCALVES_ARAUJO.pdfapplication/pdf3964108https://ri.ufs.br/jspui/bitstream/riufs/7383/2/ANDERSON_TADEU_GONCALVES_ARAUJO.pdfd4d1c30eaebbb3eca3285c9ccdb04c81MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81475https://ri.ufs.br/jspui/bitstream/riufs/7383/1/license.txt098cbbf65c2c15e1fb2e49c5d306a44cMD51TEXTANDERSON_TADEU_GONCALVES_ARAUJO.pdf.txtANDERSON_TADEU_GONCALVES_ARAUJO.pdf.txtExtracted texttext/plain91773https://ri.ufs.br/jspui/bitstream/riufs/7383/3/ANDERSON_TADEU_GONCALVES_ARAUJO.pdf.txtdc15dda4971aefffda2d558c1e0e9194MD53THUMBNAILANDERSON_TADEU_GONCALVES_ARAUJO.pdf.jpgANDERSON_TADEU_GONCALVES_ARAUJO.pdf.jpgGenerated Thumbnailimage/jpeg1149https://ri.ufs.br/jspui/bitstream/riufs/7383/4/ANDERSON_TADEU_GONCALVES_ARAUJO.pdf.jpgd8728300be71688346c78cdc285beb22MD54riufs/73832018-02-09 17:50:05.976oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2018-02-09T20:50:05Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Noções de geometria fractal elementar
title Noções de geometria fractal elementar
spellingShingle Noções de geometria fractal elementar
Araújo, Anderson Tadeu Gonçalves de
Geometria
Ensino de matemática
Fractais
Fractais elementares
Geometria fractal
Dimensão de fractais elementares
Elementary fractions
Fractal geometry
Elementary fractions dimension
CIENCIAS EXATAS E DA TERRA::MATEMATICA
title_short Noções de geometria fractal elementar
title_full Noções de geometria fractal elementar
title_fullStr Noções de geometria fractal elementar
title_full_unstemmed Noções de geometria fractal elementar
title_sort Noções de geometria fractal elementar
author Araújo, Anderson Tadeu Gonçalves de
author_facet Araújo, Anderson Tadeu Gonçalves de
author_role author
dc.contributor.author.fl_str_mv Araújo, Anderson Tadeu Gonçalves de
dc.contributor.advisor1.fl_str_mv Cardoso, José Anderson Valença
contributor_str_mv Cardoso, José Anderson Valença
dc.subject.por.fl_str_mv Geometria
Ensino de matemática
Fractais
Fractais elementares
Geometria fractal
Dimensão de fractais elementares
Elementary fractions
Fractal geometry
Elementary fractions dimension
topic Geometria
Ensino de matemática
Fractais
Fractais elementares
Geometria fractal
Dimensão de fractais elementares
Elementary fractions
Fractal geometry
Elementary fractions dimension
CIENCIAS EXATAS E DA TERRA::MATEMATICA
dc.subject.cnpq.fl_str_mv CIENCIAS EXATAS E DA TERRA::MATEMATICA
description In this work we present some of the main elemental fractals, highlighting some Math patterns and their autosimilarities. We make suggestions of activities that can be applied in the classroom of Elementary and / or High School in order to awaken the interest of students and teachers for Math, showing its applicability in the day to day, in addition to providing students with the creation and elaboration of concepts from a di erent view of the traditional one. In addition to this presentation, we analyzed basic mathematical tools studied on the Cartesian plane and used linear algebra in order to understand the initial concepts necessary for Elemental Fractal Geometry. Finally, we have developed a brief study about one of the fundamental characteristics of a fractal, the dimension of elemental fractals.
publishDate 2014
dc.date.issued.fl_str_mv 2014-08-30
dc.date.accessioned.fl_str_mv 2018-02-09T20:50:05Z
dc.date.available.fl_str_mv 2018-02-09T20:50:05Z
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 ARAÚJO, Anderson Tadeu Gonçalves de. Noções de geometria fractal elementar. 2014. 68 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2014.
dc.identifier.uri.fl_str_mv http://ri.ufs.br/jspui/handle/riufs/7383
identifier_str_mv ARAÚJO, Anderson Tadeu Gonçalves de. Noções de geometria fractal elementar. 2014. 68 f. Dissertação (Mestrado Profissional em Matemática) - Universidade Federal de Sergipe, São Cristóvão, SE, 2014.
url http://ri.ufs.br/jspui/handle/riufs/7383
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.program.fl_str_mv Mestrado Profissional em Matemática
dc.publisher.initials.fl_str_mv Universidade Federal de Sergipe
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFS
instname:Universidade Federal de Sergipe (UFS)
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