Geometric reasoning is key to bridging the gap between mathematics and the physical sciences. This workshop will introduce participants to the art of teaching geometric reasoning, emphasizing the teaching of multivariable calculus, especially vector calculus. The geometric content of (single variable) calculus, trigonometry, and linear algebra will also be addressed.
This workshop is for those college and university teachers who use multivariable calculus in their courses, as well as a junior college faculty members looking to expand their course offerings. It is suitable for mathematics faculty teaching multivariable calculus; for faculty in related disciplines, such as physicists teaching electromagnetism; for faculty who have taught this material for years; and for those who are about to teach it for the first time.
Workshop attendees will participate in, and then lead, open-ended group activities intended to foster geometric reasoning, which has been developed as part of the NSF-funded grant. Participants will also develop a plan for how to implement such activities at their home institution.
Participants completing the workshop will then be in a position to: