OPEN Math: Engaging Multivariable Calculus Students using CalcPlot3D and 3D-Printed Surfaces

Students often have difficulty visualizing geometric relationships in calculus, especially the three-dimensional concepts of multivariable calculus. In this workshop, participants will learn to use the free CalcPlot3D visualization app and 3D-printed surfaces to help students actively explore, visualize, and better understand a variety of three-dimensional calculus concepts. They will experience active learning by completing guided learning activities with other participants in small groups, exploring a variety of topics, some using CalcPlot3D and others using 3D-printed mountainous surfaces (which will be provided). We will discuss how to help students visualize planes, curvilinear motion, surfaces, contour plots, partial derivatives, gradients, directional derivatives, constrained optimization, regions of integration, and vector fields. Participants will learn to use a scripting feature in CalcPlot3D to create their own dynamic slideshows for classroom demonstrations and for hands-on student concept explorations. Participants will also learn how to use CalcPlot3D to create their own STL files for 3D printing. No prior experience with CalcPlot3D or 3D printing is required.