A Álgebra de Clifford: uma aplicação no conceito de força magnética
Ano de defesa: | 2010 |
---|---|
Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | , |
Tipo de documento: | Dissertação |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Estadual da Paraíba
|
Programa de Pós-Graduação: |
Mestrado Profissional em Ensino de Ciências e Matemática
|
Departamento: |
Ensino de Física
|
País: |
BR
|
Palavras-chave em Português: | |
Palavras-chave em Inglês: | |
Área do conhecimento CNPq: | |
Link de acesso: | http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1658 |
Resumo: | The process of teaching learning Physics, in Brazil, has been recognized as deficient in several studies. Particularly, we note that one of the problems has been the mathematical framework regarding the use of physical concepts. This problem seems to generate a conceptual mathematical physical dichotomy which affects the understanding and assimilation of the deep connections between Physics and Mathematics. The aim of this work was to present an exploratory study that evaluated according to the findings by means of the data collection the feasibility of using Clifford Algebra as a formalism adapted to the study of electromagnetism in high school level, specifically obtaining the characteristics of the magnetic force vector which acts on electric charges or electrical currents within a magnetic field. Therefore, it was carried out two interventions at different dates. The first one was done in Campina Grande - PB, at the Dean of Graduate Studies and Research University of Paraiba, UEPB. The second was done in Imperatriz MA, at the Federal institute of education science and technology IFMA. Both intervention had as public target students, teachers and future teachers of physics for high school level. Motivated by the characteristics of objectivity and serviceability of Ausubel‟s cognitive theory, its foundations were used for developing a potentially significant material developed by the selection and reading of literary criticism about Vector Algebra and Geometry. The same foundations were also used as an adjunct in the learning process content covered in the interventions and subsumers in identifying the content being addressed, the use of conceptual maps as facilitative technique in the expositions of topics and as evaluation tool. At those intersections was pointed out that the formalism of Gibbs still has predominance in the textbooks adopted in at secondary and high education levels, even prompting the students to use it in the mathematical treatment directed to the study of physical measures memorizing precepts not justified , like rule of right hand. However, the structure or the Clifford Algebra enables a more intuitive mathematical modeling which is characterized by the representation and manipulation of basic geometric concepts such as magnitude, direction and meaning. |
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Freire, Morgana Lígia de FariasCPF:73835064487http://lattes.cnpq.br/6756464691141246Brennand, Eládio José de GoésCPF:24085375415http://lattes.cnpq.br/9017015042336744Lins, Abigail FregniCPF:11478816856LINS, Abigail FregniSilva, João Batista daCPF:71400516404http://lattes.cnpq.br/5665858329289332CPF:67440347404http://lattes.cnpq.br/2212352820541063Silva, Humberto José Gama da2015-09-25T12:18:15Z2012-07-112010-12-17SILVA, Humberto José Gama da. THE CLIFFORD ALGEBRA: AN APPLICATION ON THE CONCEPT OF MAGNETIC FORCE. 2010. 186 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010.http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1658The process of teaching learning Physics, in Brazil, has been recognized as deficient in several studies. Particularly, we note that one of the problems has been the mathematical framework regarding the use of physical concepts. This problem seems to generate a conceptual mathematical physical dichotomy which affects the understanding and assimilation of the deep connections between Physics and Mathematics. The aim of this work was to present an exploratory study that evaluated according to the findings by means of the data collection the feasibility of using Clifford Algebra as a formalism adapted to the study of electromagnetism in high school level, specifically obtaining the characteristics of the magnetic force vector which acts on electric charges or electrical currents within a magnetic field. Therefore, it was carried out two interventions at different dates. The first one was done in Campina Grande - PB, at the Dean of Graduate Studies and Research University of Paraiba, UEPB. The second was done in Imperatriz MA, at the Federal institute of education science and technology IFMA. Both intervention had as public target students, teachers and future teachers of physics for high school level. Motivated by the characteristics of objectivity and serviceability of Ausubel‟s cognitive theory, its foundations were used for developing a potentially significant material developed by the selection and reading of literary criticism about Vector Algebra and Geometry. The same foundations were also used as an adjunct in the learning process content covered in the interventions and subsumers in identifying the content being addressed, the use of conceptual maps as facilitative technique in the expositions of topics and as evaluation tool. At those intersections was pointed out that the formalism of Gibbs still has predominance in the textbooks adopted in at secondary and high education levels, even prompting the students to use it in the mathematical treatment directed to the study of physical measures memorizing precepts not justified , like rule of right hand. However, the structure or the Clifford Algebra enables a more intuitive mathematical modeling which is characterized by the representation and manipulation of basic geometric concepts such as magnitude, direction and meaning.O processo ensino aprendizagem da Física, no Brasil, tem sido reconhecido como deficiente em diversos estudos. Particularmente, gostaríamos de destacar que um dos problemas tem sido o ferramental matemático com relação ao uso dos conceitos físicos. Este problema parece gerar uma dicotomia conceitual físico-matemática que prejudica a compreensão e assimilação das profundas conexões entre a Física e a Matemática. O objetivo desse trabalho é apresentar um estudo exploratório em que foi avaliada de acordo com os resultados obtidos através de instrumentos de coleta de dados a viabilidade do uso da Álgebra de Clifford como um formalismo adaptável para o estudo do Eletromagnetismo no Ensino Médio, especificamente na obtenção das características do vetor Força Magnética que atua em cargas elétricas em movimento ou em correntes elétricas dentro de um campo magnético. Para tanto foram feitas duas intervenções, em datas distintas. A primeira foi realizada em Campina Grande PB, na Pró-Reitoria de PósGraduação e Pesquisa da Universidade Estadual da Paraíba UEPB. A segunda foi realizada em Imperatriz MA, no Instituto Federal de Educação Ciência e Tecnologia IFMA. Os dois eventos tiveram como público alvo alunos, professores e futuros professores de Física do Ensino Médio. Motivado pelas características de objetividade e operacionalidade da Teoria Cognitivista de Ausubel, seus fundamentos foram utilizados na elaboração de um material potencialmente significativo desenvolvido a partir da seleção e leitura crítica da produção literária acerca das Álgebras Vetorial e Geométrica usando como coadjuvante no processo ensino-aprendizagem dos conteúdos contemplados nas intervenções. Os mesmos fundamentos também foram utilizados na identificação dos subsunçores do conteúdo a ser abordado, no uso de Mapas Conceituais como técnica facilitadora na exposição dos tópicos e como instrumento de avaliação. Nas referidas intercessões foi apontado que o formalismo de Gibbs ainda exerce predominância nos livros textos adotados no Ensino Médio e Superior, mesmo induzindo os alunos a utilizarem, no tratamento matemático direcionado ao estudo das grandezas físicas, preceitos de memorização, não justificados, como a regra da mão direita. Entretanto, a estrutura da Álgebra de Clifford permite uma modelagem matemática mais intuitiva, que tem como característica a representação e manipulação de conceitos geométricos básicos, tais como magnitude, direção e sentido.Made available in DSpace on 2015-09-25T12:18:15Z (GMT). No. of bitstreams: 1 Humberto Jose Gama da Silva_1.pdf: 1171637 bytes, checksum: 8d18e9a9faa7cc4da00a9873103a9498 (MD5) Previous issue date: 2010-12-17application/pdfhttp://tede.bc.uepb.edu.br/jspui/retrieve/3667/Humberto%20Jose%20Gama%20da%20Silva_1.pdf.jpgporUniversidade Estadual da ParaíbaMestrado Profissional em Ensino de Ciências e MatemáticaUEPBBREnsino de FísicaEnsino de físicaÁlgebra de CliffordAprendizagemTeaching physicsClifford algebraLearningCNPQ::CIENCIAS EXATAS E DA TERRA::FISICAA Álgebra de Clifford: uma aplicação no conceito de força magnéticaTHE CLIFFORD ALGEBRA: AN APPLICATION ON THE CONCEPT OF MAGNETIC FORCEinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UEPBinstname:Universidade Estadual da Paraíba (UEPB)instacron:UEPBORIGINALHumberto Jose Gama da Silva_1.pdfapplication/pdf1171637http://tede.bc.uepb.edu.br/jspui/bitstream/tede/1658/1/Humberto+Jose+Gama+da+Silva_1.pdf8d18e9a9faa7cc4da00a9873103a9498MD51THUMBNAILHumberto Jose Gama da Silva_1.pdf.jpgHumberto Jose Gama da Silva_1.pdf.jpgimage/jpeg3280http://tede.bc.uepb.edu.br/jspui/bitstream/tede/1658/2/Humberto+Jose+Gama+da+Silva_1.pdf.jpgb3f98e5a9e0e7c98435b9a5ade37de7aMD52tede/16582016-01-27 09:57:20.394oai:tede.bc.uepb.edu.br:tede/1658Biblioteca Digital de Teses e Dissertaçõeshttp://tede.bc.uepb.edu.br/jspui/PUBhttp://tede.bc.uepb.edu.br/oai/requestbc@uepb.edu.br||opendoar:2016-01-27T12:57:20Biblioteca Digital de Teses e Dissertações da UEPB - Universidade Estadual da Paraíba (UEPB)false |
dc.title.por.fl_str_mv |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
dc.title.alternative.eng.fl_str_mv |
THE CLIFFORD ALGEBRA: AN APPLICATION ON THE CONCEPT OF MAGNETIC FORCE |
title |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
spellingShingle |
A Álgebra de Clifford: uma aplicação no conceito de força magnética Silva, Humberto José Gama da Ensino de física Álgebra de Clifford Aprendizagem Teaching physics Clifford algebra Learning CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
title_short |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
title_full |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
title_fullStr |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
title_full_unstemmed |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
title_sort |
A Álgebra de Clifford: uma aplicação no conceito de força magnética |
author |
Silva, Humberto José Gama da |
author_facet |
Silva, Humberto José Gama da |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Freire, Morgana Lígia de Farias |
dc.contributor.advisor1ID.fl_str_mv |
CPF:73835064487 |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/6756464691141246 |
dc.contributor.advisor-co1.fl_str_mv |
Brennand, Eládio José de Goés |
dc.contributor.advisor-co1ID.fl_str_mv |
CPF:24085375415 |
dc.contributor.advisor-co1Lattes.fl_str_mv |
http://lattes.cnpq.br/9017015042336744 |
dc.contributor.referee1.fl_str_mv |
Lins, Abigail Fregni |
dc.contributor.referee1ID.fl_str_mv |
CPF:11478816856 |
dc.contributor.referee1Lattes.fl_str_mv |
LINS, Abigail Fregni |
dc.contributor.referee2.fl_str_mv |
Silva, João Batista da |
dc.contributor.referee2ID.fl_str_mv |
CPF:71400516404 |
dc.contributor.referee2Lattes.fl_str_mv |
http://lattes.cnpq.br/5665858329289332 |
dc.contributor.authorID.fl_str_mv |
CPF:67440347404 |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/2212352820541063 |
dc.contributor.author.fl_str_mv |
Silva, Humberto José Gama da |
contributor_str_mv |
Freire, Morgana Lígia de Farias Brennand, Eládio José de Goés Lins, Abigail Fregni Silva, João Batista da |
dc.subject.por.fl_str_mv |
Ensino de física Álgebra de Clifford Aprendizagem |
topic |
Ensino de física Álgebra de Clifford Aprendizagem Teaching physics Clifford algebra Learning CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
dc.subject.eng.fl_str_mv |
Teaching physics Clifford algebra Learning |
dc.subject.cnpq.fl_str_mv |
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA |
description |
The process of teaching learning Physics, in Brazil, has been recognized as deficient in several studies. Particularly, we note that one of the problems has been the mathematical framework regarding the use of physical concepts. This problem seems to generate a conceptual mathematical physical dichotomy which affects the understanding and assimilation of the deep connections between Physics and Mathematics. The aim of this work was to present an exploratory study that evaluated according to the findings by means of the data collection the feasibility of using Clifford Algebra as a formalism adapted to the study of electromagnetism in high school level, specifically obtaining the characteristics of the magnetic force vector which acts on electric charges or electrical currents within a magnetic field. Therefore, it was carried out two interventions at different dates. The first one was done in Campina Grande - PB, at the Dean of Graduate Studies and Research University of Paraiba, UEPB. The second was done in Imperatriz MA, at the Federal institute of education science and technology IFMA. Both intervention had as public target students, teachers and future teachers of physics for high school level. Motivated by the characteristics of objectivity and serviceability of Ausubel‟s cognitive theory, its foundations were used for developing a potentially significant material developed by the selection and reading of literary criticism about Vector Algebra and Geometry. The same foundations were also used as an adjunct in the learning process content covered in the interventions and subsumers in identifying the content being addressed, the use of conceptual maps as facilitative technique in the expositions of topics and as evaluation tool. At those intersections was pointed out that the formalism of Gibbs still has predominance in the textbooks adopted in at secondary and high education levels, even prompting the students to use it in the mathematical treatment directed to the study of physical measures memorizing precepts not justified , like rule of right hand. However, the structure or the Clifford Algebra enables a more intuitive mathematical modeling which is characterized by the representation and manipulation of basic geometric concepts such as magnitude, direction and meaning. |
publishDate |
2010 |
dc.date.issued.fl_str_mv |
2010-12-17 |
dc.date.available.fl_str_mv |
2012-07-11 |
dc.date.accessioned.fl_str_mv |
2015-09-25T12:18:15Z |
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info:eu-repo/semantics/publishedVersion |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
SILVA, Humberto José Gama da. THE CLIFFORD ALGEBRA: AN APPLICATION ON THE CONCEPT OF MAGNETIC FORCE. 2010. 186 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010. |
dc.identifier.uri.fl_str_mv |
http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1658 |
identifier_str_mv |
SILVA, Humberto José Gama da. THE CLIFFORD ALGEBRA: AN APPLICATION ON THE CONCEPT OF MAGNETIC FORCE. 2010. 186 f. Dissertação (Mestrado em Ensino de Física) - Universidade Estadual da Paraíba, Campina Grande, 2010. |
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http://tede.bc.uepb.edu.br/tede/jspui/handle/tede/1658 |
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