Methodology for solving problems of physical phenomena with Ordinary Differential Equations

Detalhes bibliográficos
Autor(a) principal: Laudares, João
Data de Publicação: 2018
Outros Autores: Furletti, Saulo, Reis, Júlio Paulo Cabral dos
Tipo de documento: Artigo
Idioma: por
Título da fonte: Educação Matemática Debate
Texto Completo: https://www.periodicos.unimontes.br/index.php/emd/article/view/69
Resumo: This article presents a methodology to the study of Ordinary Differential Equations (ODE), from problem solving, favoring several representations of the models. Illustrates a solution, with the steps present in the methodological proposal, who directed the analysis of the models of equations and graphs of physical phenomena. The theoretical reference comes from of mathematization of phenomenon physical with differential equations and by problem solving, based on the semiotic representations, diversification of representations of mathematical objects and analysis of models. The mathematization is created by laws of motion and quantitative and qualitative parameters. This methodology is the result of studies and researches from Masters in Teaching Science and Mathematics at PUC Minas, to support teachers and students of the courses of the exact sciences that have the disciplines of Differential Ordinary Equations in their curriculum.
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spelling Methodology for solving problems of physical phenomena with Ordinary Differential EquationsMetodologia para resolução de problemas de fenômenos físicos com equações diferenciais ordináriasResolução de ProblemasMetodologiaEquações DiferenciaisProblem SolvingMethodologyDifferential EquationsThis article presents a methodology to the study of Ordinary Differential Equations (ODE), from problem solving, favoring several representations of the models. Illustrates a solution, with the steps present in the methodological proposal, who directed the analysis of the models of equations and graphs of physical phenomena. The theoretical reference comes from of mathematization of phenomenon physical with differential equations and by problem solving, based on the semiotic representations, diversification of representations of mathematical objects and analysis of models. The mathematization is created by laws of motion and quantitative and qualitative parameters. This methodology is the result of studies and researches from Masters in Teaching Science and Mathematics at PUC Minas, to support teachers and students of the courses of the exact sciences that have the disciplines of Differential Ordinary Equations in their curriculum.Este artigo apresenta uma metodologia para o estudo de Equações Diferenciais Ordinárias (EDO), a partir da Resolução de Problemas privilegiando diversas representações de modelos. Ilustra-se por completo uma resolução, com os passos presentes na proposta metodológica, que direcionaram a análise dos modelos de equações e gráficos dos fenômenos físicos. O referencial teórico parte da matematização de fenômeno físico com Equações Diferenciais pela resolução de problemas, com base nas representações semióticas, diversificação de representações de objetos matemáticos e análise de modelos. A matematização é dimensionada por leis de movimentos, parâmetros quantitativos e qualitativos. Esta metodologia é resultado de um estudo para suporte aos professores e estudantes dos cursos das áreas de Ciências Exatas, que possuem em seus currículos a disciplina de Equações Diferenciais Ordinárias.Editora Unimontes2018-07-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.periodicos.unimontes.br/index.php/emd/article/view/6910.24116/emd25266136v2n52018a04Educação Matemática Debate; v. 2 n. 5 (2018): maio/ago.; 205-2212526-6136reponame:Educação Matemática Debateinstname:Universidade Estadual de Montes Claros (UNIMONTES)instacron:UNIMONTESporhttps://www.periodicos.unimontes.br/index.php/emd/article/view/69/74https://www.periodicos.unimontes.br/index.php/emd/article/view/69/4501https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BRinfo:eu-repo/semantics/openAccessLaudares, João Furletti, Saulo Reis, Júlio Paulo Cabral dos2021-08-13T14:50:15Zoai:ojs2.periodicos.unimontes.br:article/69Revistahttps://www.periodicos.unimontes.br/index.php/emdPUBhttps://www.periodicos.unimontes.br/index.php/emdrevista.emd@unimontes.br||2526-61362526-6136opendoar:2021-08-13T14:50:15Educação Matemática Debate - Universidade Estadual de Montes Claros (UNIMONTES)false
dc.title.none.fl_str_mv Methodology for solving problems of physical phenomena with Ordinary Differential Equations
Metodologia para resolução de problemas de fenômenos físicos com equações diferenciais ordinárias
title Methodology for solving problems of physical phenomena with Ordinary Differential Equations
spellingShingle Methodology for solving problems of physical phenomena with Ordinary Differential Equations
Laudares, João
Resolução de Problemas
Metodologia
Equações Diferenciais
Problem Solving
Methodology
Differential Equations
title_short Methodology for solving problems of physical phenomena with Ordinary Differential Equations
title_full Methodology for solving problems of physical phenomena with Ordinary Differential Equations
title_fullStr Methodology for solving problems of physical phenomena with Ordinary Differential Equations
title_full_unstemmed Methodology for solving problems of physical phenomena with Ordinary Differential Equations
title_sort Methodology for solving problems of physical phenomena with Ordinary Differential Equations
author Laudares, João
author_facet Laudares, João
Furletti, Saulo
Reis, Júlio Paulo Cabral dos
author_role author
author2 Furletti, Saulo
Reis, Júlio Paulo Cabral dos
author2_role author
author
dc.contributor.author.fl_str_mv Laudares, João
Furletti, Saulo
Reis, Júlio Paulo Cabral dos
dc.subject.por.fl_str_mv Resolução de Problemas
Metodologia
Equações Diferenciais
Problem Solving
Methodology
Differential Equations
topic Resolução de Problemas
Metodologia
Equações Diferenciais
Problem Solving
Methodology
Differential Equations
description This article presents a methodology to the study of Ordinary Differential Equations (ODE), from problem solving, favoring several representations of the models. Illustrates a solution, with the steps present in the methodological proposal, who directed the analysis of the models of equations and graphs of physical phenomena. The theoretical reference comes from of mathematization of phenomenon physical with differential equations and by problem solving, based on the semiotic representations, diversification of representations of mathematical objects and analysis of models. The mathematization is created by laws of motion and quantitative and qualitative parameters. This methodology is the result of studies and researches from Masters in Teaching Science and Mathematics at PUC Minas, to support teachers and students of the courses of the exact sciences that have the disciplines of Differential Ordinary Equations in their curriculum.
publishDate 2018
dc.date.none.fl_str_mv 2018-07-01
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dc.identifier.uri.fl_str_mv https://www.periodicos.unimontes.br/index.php/emd/article/view/69
10.24116/emd25266136v2n52018a04
url https://www.periodicos.unimontes.br/index.php/emd/article/view/69
identifier_str_mv 10.24116/emd25266136v2n52018a04
dc.language.iso.fl_str_mv por
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dc.relation.none.fl_str_mv https://www.periodicos.unimontes.br/index.php/emd/article/view/69/74
https://www.periodicos.unimontes.br/index.php/emd/article/view/69/4501
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info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Editora Unimontes
publisher.none.fl_str_mv Editora Unimontes
dc.source.none.fl_str_mv Educação Matemática Debate; v. 2 n. 5 (2018): maio/ago.; 205-221
2526-6136
reponame:Educação Matemática Debate
instname:Universidade Estadual de Montes Claros (UNIMONTES)
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reponame_str Educação Matemática Debate
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