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Abstract Title: Raising Calculus to the Surface in Physics: Explorations using Surfaces
Abstract: Visualization and geometric reasoning are key components of solving problems in science.  However, students often struggle to develop these skills in higher dimensional settings.  We've developed clear plastic 'surfaces' with a dry-erase finish which let students discover key relationships between mathematical concepts in the multivariable setting.  Participants in this workshop will have an opportunity to play, draw, and make measurements on the surface manipulatives.  In addition to sharing how we use the materials to help students understand the geometry behind ideas like gradient, partial and directional derivatives, level curves, and various forms of integrals, we will spend significant time exploring and discussing how these surface manipulatives could be utilized in the physics classroom.
Abstract Type: Workshop

Author/Organizer Information

Primary Contact: Aaron Wangberg
Winona State University
322 Gildemeister Hall, Winona State University
Winona, MN 55987
Phone: 5074745777
Co-Author(s)
and Co-Presenter(s)
Brian Fisher, Pepperdine University
Eric Weber, Oregon State University
Jason Samuels, City University of New York - BMCC