Characteristics of the Solution of a Certain Riccati Differential Equation Using GeoGebra in Engineering Students through a Case Study | Chapter 9 | Mathematics and Computer Science: Research Updates Vol. 6

 

The objective of this study was to explore how engineering students at the University of Sinú (Colombia) understand and solve a Riccati differential equation using GeoGebra during the first semester of 2024. A qualitative approach was adopted with a case study design, involving three students selected at the researchers’ discretion from a total of nine students in the differential equations course. Through semi-structured interviews, the study aimed to identify the usefulness of the software for visualising and verifying solutions, as well as to recognise students’ perceptions of its advantages and limitations. The results show that GeoGebra facilitated the graphical representation of the comparison between manual and computational solutions, and the analysis of conceptual errors, which strengthened the understanding of the behaviour of differential solutions. Among the advantages, participants highlighted the immediacy in verifying results and the visual clarity for the graphical interpretation of equations, while as limitations, they pointed out technological dependence and the initial difficulty in learning the digital environment. In conclusion, the use of GeoGebra not only increases students’ motivation but also constitutes a valuable pedagogical resource for improving the teaching and learning of differential equations, providing relevant implications for engineering education. Learning differential equations provides relevant implications for engineering education.

 

 

Author(s) Details

Jorge Olivares Funes
University of Antofagasta, Chile.

 

Eber Javier Lenes Puello
University of Sinú, Cartagena Section, Area of Exact Basic Sciences, Colombia.

 

Pablo Martin
University of Antofagasta, Chile.

 

Please see the book here :- https://doi.org/10.9734/bpi/mcsru/v6/6186