Let's travel? - an experience in Differential and Integral Calculus with Engineering students

Detalhes bibliográficos
Autor(a) principal: Lopes, Aldo Peres Campos
Data de Publicação: 2019
Outros Autores: Reis, Frederico da Silva
Tipo de documento: Artigo
Idioma: por
Título da fonte: Revista de Educação Matemática (Online)
Texto Completo: https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298
Resumo: For many students, the discipline of Differential and Integral Calculus is abstract, difficult, with many mathematical symbolsand boring. This discipline has been responsible for high rates of disapproval and school dropout. Thus, it is important to reflect on the teaching and learning of notions of Calculus, something that was done here and specifically involved applications of derivatives. One possible approach to this discipline is through the Problem-Based Learning (PBL) an active learning methodology. However, there is little research involving this methodology and the discipline of Differential and Integral Calculus. We apply the PBL in engineering classes. The problems chosen involved optimization and derivative applications. We found out that the use of PBL has positive aspects such as increased attention and interest on the part of the students, significant interaction with colleagues, and increased awareness of the need for study and research to solve a real problem. Some unusual situations have occurred, such as solving the problem in a different way than expected, difficulties related to understanding the problem, confusion and errors in the use of previous contents. There was a greater motivation and engagement of most students over a traditional class, and although they presented difficulties, they were able to associate theory with practice. Through the insertion of motivating problems, certain obstacles noted in the teaching and learning of Calculus can be attenuated.
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spelling Let's travel? - an experience in Differential and Integral Calculus with Engineering students¿Vamos a viajar? - una experiencia en clases de Calculo Diferencial e Integral con estudiantes de IngenieríaVamos viajar? – uma abordagem da Aprendizagem baseada em Problemas no Cálculo Diferencial e Integral com alunos de EngenhariaProblem-Based LearningABPCalculusEngineering courseTeaching CalculusAprendizaje Basado en ProblemasCurso de IngenieríaEnseñanza del CálculoAprendizagem Baseada em ProblemasEnsino de CálculoCursos de EngenhariaFor many students, the discipline of Differential and Integral Calculus is abstract, difficult, with many mathematical symbolsand boring. This discipline has been responsible for high rates of disapproval and school dropout. Thus, it is important to reflect on the teaching and learning of notions of Calculus, something that was done here and specifically involved applications of derivatives. One possible approach to this discipline is through the Problem-Based Learning (PBL) an active learning methodology. However, there is little research involving this methodology and the discipline of Differential and Integral Calculus. We apply the PBL in engineering classes. The problems chosen involved optimization and derivative applications. We found out that the use of PBL has positive aspects such as increased attention and interest on the part of the students, significant interaction with colleagues, and increased awareness of the need for study and research to solve a real problem. Some unusual situations have occurred, such as solving the problem in a different way than expected, difficulties related to understanding the problem, confusion and errors in the use of previous contents. There was a greater motivation and engagement of most students over a traditional class, and although they presented difficulties, they were able to associate theory with practice. Through the insertion of motivating problems, certain obstacles noted in the teaching and learning of Calculus can be attenuated.La disciplina del cálculo diferencial e integral ha sido responsable de las altas tasas de fracaso y deserción. Por lo tanto, es importante reflexionar sobre la enseñanza y el aprendizaje de los conceptos de cálculo. Un posible enfoque para este tema es a través de la metodología activa de Aprendizaje Basado en Problemas (PBL). Sin embargo, hay poca investigación sobre esta metodología y su uso en disciplinas de cálculo diferencial e integral. En este trabajo, al investigar la práctica en sí, aplicamos BPA en las clases de ingeniería, con el objetivo de responder a la siguiente pregunta: ¿Cuáles son las potencialidades del uso de BPA en la enseñanza y el aprendizaje de contenido derivado en la disciplina del cálculo diferencial e integral I , haciendo posible resolver problemas reales? Los problemas elegidos involucraron aplicaciones de optimización y derivadas. Descubrimos que el uso de PBL tiene aspectos positivos como mejorar la atención e interés de los estudiantes, permitir una interacción significativa con sus compañeros y aumentar la percepción de la necesidad de estudios e investigaciones para resolver un problema real. Se han producido algunas situaciones inusuales, como resolver un problema de formas diferentes a las esperadas, dificultades relacionadas con la comprensión de los problemas, así como confusión y errores en el uso de contenido anterior. La mayoría de los estudiantes estaban más motivados y comprometidos con una clase tradicional, y aunque tenían dificultades, podían asociar la teoría con la práctica. Mediante la inserción de problemas motivadores, se pueden mitigar / superar ciertos obstáculos relacionados con el cálculo de la enseñanza y el aprendizaje.A disciplina de Cálculo Diferencial e Integral I tem sido responsável por altos índices de reprovação e evasão. Assim, é importante refletir acerca do ensino e da aprendizagem de conceitos do Cálculo. Uma abordagem possível para essa disciplina é por meio da metodologia ativa Aprendizagem Baseada em Problemas – ABP (em inglês, Problem-Based Learning – PBL). Entretanto, há poucas pesquisas envolvendo essa metodologia e sua utilização em disciplinas de Cálculo Diferencial e Integral. Neste trabalho, por meio de investigação da própria prática, utilizamos a ABP em turmas de Engenharia, objetivando responder à seguinte questão: Quais são as potencialidades do uso da ABP no ensino de derivadas na disciplina de Cálculo Diferencial e Integral I, possibilitando a resolução de problemas reais? Os problemas escolhidos envolveram otimização e aplicações de derivadas. Constatamos que o uso da ABP possui aspectos positivos como uma potencialização da atenção e do interesse por parte dos estudantes, a viabilização de uma interação significativa com os colegas, além do aumento da percepção da necessidade de estudos e pesquisas para se resolver um problema real. Algumas situações inusitadas ocorreram, tais como a resolução de um problema de maneiras diferentes da tradicionalmente prevista, as dificuldades relacionadas à compreensão dos problemas, bem como confusão e erros no uso de conteúdos prévios. Houve uma maior motivação e um engajamento da maioria dos estudantes em relação a uma aula tradicional e, embora tenham apresentado dificuldades, eles conseguiram associar a teoria com a prática. Por meio da inserção de problemas motivadores, determinados obstáculos ligados à aprendizagem de Cálculo podem ser atenuados / superados.Sociedade Brasileira de Educação Matemática (SBEM)2019-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/29810.25090/remat25269062v16n232019p449a469Revista de Educação Matemática; Vol. 16 No. 23 (2019): set./dez. 2019; 449 - 469Revista de Educação Matemática; ##issue.vol## 16 ##issue.no## 23 (2019): set./dez. 2019; 449 - 469Revista de Educação Matemática; Vol. 16 Núm. 23 (2019): set./dez. 2019; 449 - 469Revista de Educação Matemática; v. 16 n. 23 (2019): set./dez. 2019; 449 - 4692526-9062reponame:Revista de Educação Matemática (Online)instname:Sociedade Brasileira de Educação Matemática (SBEM)instacron:SBEMporhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298/pdfhttps://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298/Artigo%20em%20pdfCopyright (c) 2019 Aldo Peres Campos Lopes; Frederico da Silva Reisinfo:eu-repo/semantics/openAccessLopes, Aldo Peres CamposReis, Frederico da Silva2021-05-06T16:11:22ZRevistahttps://www.revistasbemsp.com.br/index.php/REMat-SPONG
dc.title.none.fl_str_mv Let's travel? - an experience in Differential and Integral Calculus with Engineering students
¿Vamos a viajar? - una experiencia en clases de Calculo Diferencial e Integral con estudiantes de Ingeniería
Vamos viajar? – uma abordagem da Aprendizagem baseada em Problemas no Cálculo Diferencial e Integral com alunos de Engenharia
title Let's travel? - an experience in Differential and Integral Calculus with Engineering students
spellingShingle Let's travel? - an experience in Differential and Integral Calculus with Engineering students
Lopes, Aldo Peres Campos
Problem-Based Learning
ABP
Calculus
Engineering course
Teaching Calculus
Aprendizaje Basado en Problemas
Curso de Ingeniería
Enseñanza del Cálculo
Aprendizagem Baseada em Problemas
Ensino de Cálculo
Cursos de Engenharia
title_short Let's travel? - an experience in Differential and Integral Calculus with Engineering students
title_full Let's travel? - an experience in Differential and Integral Calculus with Engineering students
title_fullStr Let's travel? - an experience in Differential and Integral Calculus with Engineering students
title_full_unstemmed Let's travel? - an experience in Differential and Integral Calculus with Engineering students
title_sort Let's travel? - an experience in Differential and Integral Calculus with Engineering students
author Lopes, Aldo Peres Campos
author_facet Lopes, Aldo Peres Campos
Reis, Frederico da Silva
author_role author
author2 Reis, Frederico da Silva
author2_role author
dc.contributor.author.fl_str_mv Lopes, Aldo Peres Campos
Reis, Frederico da Silva
dc.subject.por.fl_str_mv Problem-Based Learning
ABP
Calculus
Engineering course
Teaching Calculus
Aprendizaje Basado en Problemas
Curso de Ingeniería
Enseñanza del Cálculo
Aprendizagem Baseada em Problemas
Ensino de Cálculo
Cursos de Engenharia
topic Problem-Based Learning
ABP
Calculus
Engineering course
Teaching Calculus
Aprendizaje Basado en Problemas
Curso de Ingeniería
Enseñanza del Cálculo
Aprendizagem Baseada em Problemas
Ensino de Cálculo
Cursos de Engenharia
description For many students, the discipline of Differential and Integral Calculus is abstract, difficult, with many mathematical symbolsand boring. This discipline has been responsible for high rates of disapproval and school dropout. Thus, it is important to reflect on the teaching and learning of notions of Calculus, something that was done here and specifically involved applications of derivatives. One possible approach to this discipline is through the Problem-Based Learning (PBL) an active learning methodology. However, there is little research involving this methodology and the discipline of Differential and Integral Calculus. We apply the PBL in engineering classes. The problems chosen involved optimization and derivative applications. We found out that the use of PBL has positive aspects such as increased attention and interest on the part of the students, significant interaction with colleagues, and increased awareness of the need for study and research to solve a real problem. Some unusual situations have occurred, such as solving the problem in a different way than expected, difficulties related to understanding the problem, confusion and errors in the use of previous contents. There was a greater motivation and engagement of most students over a traditional class, and although they presented difficulties, they were able to associate theory with practice. Through the insertion of motivating problems, certain obstacles noted in the teaching and learning of Calculus can be attenuated.
publishDate 2019
dc.date.none.fl_str_mv 2019-09-01
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dc.identifier.uri.fl_str_mv https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298
10.25090/remat25269062v16n232019p449a469
url https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298
identifier_str_mv 10.25090/remat25269062v16n232019p449a469
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dc.relation.none.fl_str_mv https://www.revistasbemsp.com.br/index.php/REMat-SP/article/view/298/pdf
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dc.rights.driver.fl_str_mv Copyright (c) 2019 Aldo Peres Campos Lopes; Frederico da Silva Reis
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Aldo Peres Campos Lopes; Frederico da Silva Reis
eu_rights_str_mv openAccess
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application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Educação Matemática (SBEM)
publisher.none.fl_str_mv Sociedade Brasileira de Educação Matemática (SBEM)
dc.source.none.fl_str_mv Revista de Educação Matemática; Vol. 16 No. 23 (2019): set./dez. 2019; 449 - 469
Revista de Educação Matemática; ##issue.vol## 16 ##issue.no## 23 (2019): set./dez. 2019; 449 - 469
Revista de Educação Matemática; Vol. 16 Núm. 23 (2019): set./dez. 2019; 449 - 469
Revista de Educação Matemática; v. 16 n. 23 (2019): set./dez. 2019; 449 - 469
2526-9062
reponame:Revista de Educação Matemática (Online)
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