Contributions of Mathematical Modelling for Learning Differential Equations in the Remote Teaching Context Aldo Peres Campos Lopes, Frederico Da Silva Reis Acta Scientiae, 2022 Background: The study of the use of Mathematical Modeling as a pedagogical alternative has been an emerging research topic and it is directly linked to the importance of improving the teaching and learning of Mathematics and the development of skills. However, few researches in Mathematics Education have been dedicated to investigating the use of Modeling in the Differential Equations course and in the pandemic context. Objectives: Identify and analyse the possible contributions of mathematical modelling activities, in the aspects related to learning and the development of criticality in Engineering students. Design: The research is qualitative in its methodological assumptions, designed from the development, execution, and assessment of four mathematical modelling activities involving 1st and 2nd order ordinary differential equations. Setting and participants: The activities were carried out with 117 undergrad students from nine Engineering degrees at a federal university in the countryside of the state of Minas Gerais (Brazil), enrolled in the Differential Equations I course, in the 1st semester of 2020. Data collection and analysis: Data were collected through the activities carried out, the recording of classes taught remotely, and assessment questionnaires, being analysed through a categorisation made from the confrontation with the theoretical framework that underpinned the research. Results: The results allow us to state that the mathematical modelling activities carried out are rich opportunities for students’ motivation and learning, allowing for a differentiated exploration of the applications of the mathematical contents involved, contributing to a critical interpretation of reality, albeit in an incipient way. Conclusions: Based on the research carried out, we can conclude by highlighting the importance of current and future research in mathematics education in higher education, pointing to a teaching of differential equations that breaks with the traditional model of formula tables and methods of resolution.
Investigative activities related to applications of derivatives using geogebra Daniele Cristina Gonçalves, Frederico da Silva Reis Bolema Mathematics Education Bulletin, 2013 Este artigo apresenta o Produto Educacional gerado a partir de nossa pesquisa de dissertação de mestrado, que aborda as Aplicações das Derivadas, por meio de atividades investigativas utilizando o software GeoGebra. Inicialmente, trazemos uma discussão sobre o ensino de Cálculo, particularmente sobre o ensino de Derivadas e suas aplicações. Em seguida, discutimos a utilização de tecnologias no ensino, aliadas às atividades investigativas, a partir das mudanças que podem ocorrer em sala de aula com a inserção das Tecnologias Informacionais e Comunicacionais na Educação - TICE's. Após essa breve discussão, apresentamos uma descrição do Produto Educacional constituído e, por fim, algumas considerações sobre sua aplicação e os resultados obtidos, destacando algumas contribuições de atividades investigativas utilizando TICE's para os processos de ensino e aprendizagem de Cálculo I.
