Methodology for solving problems of physical phenomena with Ordinary Differential Equations
Autor(a) principal: | |
---|---|
Data de Publicação: | 2018 |
Outros Autores: | , |
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. |
id |
UNIMONTES1_83d32ce07fccc7382451d967e5c47044 |
---|---|
oai_identifier_str |
oai:ojs2.periodicos.unimontes.br:article/69 |
network_acronym_str |
UNIMONTES1 |
network_name_str |
Educação Matemática Debate |
repository_id_str |
|
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 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
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 |
language |
por |
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 |
dc.rights.driver.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.pt_BR |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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) instacron:UNIMONTES |
instname_str |
Universidade Estadual de Montes Claros (UNIMONTES) |
instacron_str |
UNIMONTES |
institution |
UNIMONTES |
reponame_str |
Educação Matemática Debate |
collection |
Educação Matemática Debate |
repository.name.fl_str_mv |
Educação Matemática Debate - Universidade Estadual de Montes Claros (UNIMONTES) |
repository.mail.fl_str_mv |
revista.emd@unimontes.br|| |
_version_ |
1797174835394117632 |