Lucas Slopes
0Day 1 | 4:00 PM–4:30 PM
"Slopes: A Free, Intuitive Mobile App to Facilitate Exploration of Differential Equations"
Presented by:
Tim Lucas, Pepperdine University, Malibu CA USA
https://qubeshub.org/community/groups/simiode/expo/2025
Abstract: Slopes is a mobile application with an intuitive interface that is designed to visualize solutions to differential equations and support active learning in the classroom. By making slopefields, phase planes and numerical solutions more accessible, students are able to engage in higher level discussions of mathematical models that incorporate differential equations. Slopes is currently available for iPads, iPhones, and Android phones, which are highly portable and feature larger touch screens that allow students to view and manipulate content easily. I will discuss in-class activities that emphasize a visual understanding of mathematical models in order to introduce and reinforce key concepts in differential equations. In a recent study, we found that students used Slopes to visualize solutions, aid in discussion and cooperation, build prototype models, and demonstrate understanding of differential equations concepts. I will also show examples of semester-long modeling projects that were enhanced by the use of Slopes.