Noções de geometria fractal elementar
| Ano de defesa: | 2014 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Não Informado pela instituição
|
| Programa de Pós-Graduação: |
Mestrado Profissional em Matemática
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Área do conhecimento CNPq: | |
| Link de acesso: | 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. |
| id |
UFS-2_7965d5c77fbc0433fe9d929ec71b2dbd |
|---|---|
| oai_identifier_str |
oai:ufs.br:riufs/7383 |
| network_acronym_str |
UFS-2 |
| network_name_str |
Repositório Institucional da UFS |
| repository_id_str |
|
| 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 |
| 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.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) instacron:UFS |
| instname_str |
Universidade Federal de Sergipe (UFS) |
| instacron_str |
UFS |
| institution |
UFS |
| reponame_str |
Repositório Institucional da UFS |
| collection |
Repositório Institucional da UFS |
| bitstream.url.fl_str_mv |
https://ri.ufs.br/jspui/bitstream/riufs/7383/2/ANDERSON_TADEU_GONCALVES_ARAUJO.pdf https://ri.ufs.br/jspui/bitstream/riufs/7383/1/license.txt https://ri.ufs.br/jspui/bitstream/riufs/7383/3/ANDERSON_TADEU_GONCALVES_ARAUJO.pdf.txt https://ri.ufs.br/jspui/bitstream/riufs/7383/4/ANDERSON_TADEU_GONCALVES_ARAUJO.pdf.jpg |
| bitstream.checksum.fl_str_mv |
d4d1c30eaebbb3eca3285c9ccdb04c81 098cbbf65c2c15e1fb2e49c5d306a44c dc15dda4971aefffda2d558c1e0e9194 d8728300be71688346c78cdc285beb22 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS) |
| repository.mail.fl_str_mv |
repositorio@academico.ufs.br |
| _version_ |
1793351072390053888 |