Applications for teaching differential

Detalhes bibliográficos
Autor(a) principal: Igliori, Sonia Barbosa Camargo
Data de Publicação: 2017
Outros Autores: Almeida, Marcio Vieira
Tipo de documento: Artigo
Idioma: por
Título da fonte: Alexandria (Florianópolis)
Texto Completo: https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p257
Resumo: This paper fits the area of Mathematics Education at Higher Education, especially the area of studies concerning the teaching and learning of Differential and Integral Calculus. It is presented two applications for the differential equation solutions, theoretically referenced by the notion of local straightness, formulated by David Tall. The first application is explored the notion of slope field. The second one is adapted a situation developed by English researcher for a sketch of a solution curve of a differential equation. The development of these applications is based on the need to integrate theory and practice in the field of mathematics education and to produce materials for teaching, based on research results. It is expected that such applications to promote development of rich concepts images in the student, in the relation to the treaty mathematical concept.
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spelling Applications for teaching differentialAplicações para o ensino de equações diferenciaisThis paper fits the area of Mathematics Education at Higher Education, especially the area of studies concerning the teaching and learning of Differential and Integral Calculus. It is presented two applications for the differential equation solutions, theoretically referenced by the notion of local straightness, formulated by David Tall. The first application is explored the notion of slope field. The second one is adapted a situation developed by English researcher for a sketch of a solution curve of a differential equation. The development of these applications is based on the need to integrate theory and practice in the field of mathematics education and to produce materials for teaching, based on research results. It is expected that such applications to promote development of rich concepts images in the student, in the relation to the treaty mathematical concept.Este artigo se insere no âmbito das pesquisas relacionadas ao ensino e à aprendizagem da Matemática no Ensino Superior, em especial o ensino e a aprendizagem do Cálculo Diferencial e Integral nos cursos de Exatas. Nele são apresentadas duas aplicações para a noção de solução de uma equação diferencial, referenciadas teoricamente pela noção de retidão local, formulada pelo pesquisador inglês David Tall. Na primeira é explorada a noção de campo de direções da equação. Na segunda é adaptada uma situação desenvolvida pelo pesquisador inglês para o esboço de uma curva solução de uma equação diferencial. A elaboração dessas aplicações toma por base a necessidade de integrar teoria e prática no campo da Educação Matemática e de produzir materiais para o ensino, baseados em resultados de pesquisas. Espera-se que tais aplicações favoreçam a formação, no aprendiz, de conceitos imagens ricos relativamente ao conceito matemático tratado.Universidade Federal de Santa Catarina2017-05-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p25710.5007/1982-5153.2017v10n1p257Alexandria: Revista de Educação em Ciência e Tecnologia; v. 10 n. 1 (2017); 257-2701982-5153reponame:Alexandria (Florianópolis)instname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCporhttps://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p257/34225Copyright (c) 2017 Alexandria: Revista de Educação em Ciência e Tecnologiainfo:eu-repo/semantics/openAccessIgliori, Sonia Barbosa CamargoAlmeida, Marcio Vieira2019-09-05T18:21:53Zoai:periodicos.ufsc.br:article/44459Revistahttps://periodicos.ufsc.br/index.php/alexandria/oai1982-51531982-5153opendoar:2019-09-05T18:21:53Alexandria (Florianópolis) - Universidade Federal de Santa Catarina (UFSC)false
dc.title.none.fl_str_mv Applications for teaching differential
Aplicações para o ensino de equações diferenciais
title Applications for teaching differential
spellingShingle Applications for teaching differential
Igliori, Sonia Barbosa Camargo
title_short Applications for teaching differential
title_full Applications for teaching differential
title_fullStr Applications for teaching differential
title_full_unstemmed Applications for teaching differential
title_sort Applications for teaching differential
author Igliori, Sonia Barbosa Camargo
author_facet Igliori, Sonia Barbosa Camargo
Almeida, Marcio Vieira
author_role author
author2 Almeida, Marcio Vieira
author2_role author
dc.contributor.author.fl_str_mv Igliori, Sonia Barbosa Camargo
Almeida, Marcio Vieira
description This paper fits the area of Mathematics Education at Higher Education, especially the area of studies concerning the teaching and learning of Differential and Integral Calculus. It is presented two applications for the differential equation solutions, theoretically referenced by the notion of local straightness, formulated by David Tall. The first application is explored the notion of slope field. The second one is adapted a situation developed by English researcher for a sketch of a solution curve of a differential equation. The development of these applications is based on the need to integrate theory and practice in the field of mathematics education and to produce materials for teaching, based on research results. It is expected that such applications to promote development of rich concepts images in the student, in the relation to the treaty mathematical concept.
publishDate 2017
dc.date.none.fl_str_mv 2017-05-30
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p257
10.5007/1982-5153.2017v10n1p257
url https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p257
identifier_str_mv 10.5007/1982-5153.2017v10n1p257
dc.language.iso.fl_str_mv por
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dc.relation.none.fl_str_mv https://periodicos.ufsc.br/index.php/alexandria/article/view/1982-5153.2017v10n1p257/34225
dc.rights.driver.fl_str_mv Copyright (c) 2017 Alexandria: Revista de Educação em Ciência e Tecnologia
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2017 Alexandria: Revista de Educação em Ciência e Tecnologia
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Santa Catarina
publisher.none.fl_str_mv Universidade Federal de Santa Catarina
dc.source.none.fl_str_mv Alexandria: Revista de Educação em Ciência e Tecnologia; v. 10 n. 1 (2017); 257-270
1982-5153
reponame:Alexandria (Florianópolis)
instname:Universidade Federal de Santa Catarina (UFSC)
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reponame_str Alexandria (Florianópolis)
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