ODE from the perspective of Exploratory Mathematics Teaching
a lesson pro-posal
DOI:
https://doi.org/10.57077/monumenta.v9i9.265Keywords:
Teaching mathematics, Didactic proposal, Higher educationAbstract
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.