Presenters
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Francis Poulin, Department of Applied Math
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Aaron Baier-Reinio, AMATH 353 student
Introductory courses in mathematics typically focus on solving problems exactly using so-called analytical techniques. This is in sharp contrast to what is done in real world problems where the problems are much more challenging, and we need to use computational models to get approximate solutions. In order to bridge the gap between these two worlds, Francis Poulin has developed what he calls “Experiential Learning through Model Simulations” or ELMS. These are experiments "in silica" that students do in a tutorial where they are able to visualize solutions to problems such as the vibrations in a string and drum (of various shapes) and surface waves near the beach (with a bumpy bottom). This experience not only gives the students a powerful means of finding solutions, but they are also able to play with the parameters very easily to see different solutions and develop intuition about the physics at play. After completing enough of these simulations, students submit ELMS Explorations, which is essentially a lab report but with a more inspiring name.
In this talk, Francis and Aaron, a student from the course, shared their experiences with the first offering of a course using ELMS. At Francis’ request, the audience members shared their reactions to his use of simulations and offered suggestions on how he might improve the experience in his next course offering.
Further Resources:
Experiential Learning Through Model Simulations presentation slides