ODE from the perspective of Exploratory Mathematics Teaching

a lesson pro-posal

Authors

  • Marcos Vinicius de Oliveira Peres UNESPAR - Campus de Paranavaí
  • Laís Maria Costa Pires de Oliveira UNESPAR - Campus de Paranavaí

DOI:

https://doi.org/10.57077/monumenta.v9i9.265

Keywords:

Teaching mathematics, Didactic proposal, Higher education

Abstract

This study presents a lesson proposal based on the Exploratory Mathematics Teaching (EEM) perspective for working with Ordinary Differential Equations (ODEs) with higher education students. Based on a task that proposes the investigation of the behaviour of water temperature over time, the phases of a MES lesson are contextualized, namely: introduction of the task, development of the task by the students, collective discussion of the task and systematization of mathematical learning, at which point Newton's Law of Heating/Cooling should be presented. It is hoped that with this proposal, students studying ODEs will be able to experience the study and use of mathematical concepts in non-mathematical, everyday situations, enabling them to gain a deeper understanding of the process of experimentation and ODE solutions in the context of physical phenomena, such as the heating or cooling of bodies.

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Author Biographies

Marcos Vinicius de Oliveira Peres, UNESPAR - Campus de Paranavaí

Graduado em Matemática (Licenciatura) pela Universidade Estadual do Paraná (UNESPAR - Campus de Paranavaí). Mestre em Bioestatística pela Universidade Estadual de Maringá (UEM) e Doutor em Ciências pela Universidade Estadual de São Paulo (USP). Docente colaboradora do Colegiado de Matemática da Universidade Estadual do Paraná (UNESPAR - Campus de Paranavaí).

Laís Maria Costa Pires de Oliveira, UNESPAR - Campus de Paranavaí

Graduada em Matemática (Licenciatura) pela Faculdade Estadual de Educação, Ciências e Letras de Paranavaí (FAFIPA). Mestre e Doutora em Ensino de Ciências e Educação Matemática pela Universidade Estadual de Londrina (UEL). Docente colaboradora do Colegiado de Matemática da Universidade Estadual do Paraná (UNESPAR - Campus de Paranavaí).

Published

2024-12-11

How to Cite

Peres, M. V. de O., & Oliveira, L. M. C. P. de. (2024). ODE from the perspective of Exploratory Mathematics Teaching: a lesson pro-posal. Monumenta - Revista Científica Multidisciplinar, 9(9), 1–7. https://doi.org/10.57077/monumenta.v9i9.265

Issue

Section

Relatos de Pesquisa