Geometry of Vector Calculus
Tevian Dray, Corinne Manogue
June 18-22, 2004
Mount Holyoke College
South Hadley, MA
Material for this workshop developed
with support from NSF Grants DUE-0088901 and DUE-0231032.
5/10/04 REGISTRATION IS NOW CLOSED
Geometric reasoning is the 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, and especially vector
calculus. The geometric content of (single variable) calculus,
trigonometry, and linear algebra will also be briefly addressed.
This workshop is aimed primarily at college and university teachers who
use multivariable calculus in their courses. The workshop is
suitable not only for mathematics faculty teaching multivariable
calculus, but also for faculty in related disciplines, such as
physicists teaching electromagnetism or engineers teaching
statics. While prior familiarity with the content would be
helpful, the workshop is equally appropriate for faculty who have
taught this material for years and those who are about to teach it for
the first time. Junior college faculty looking to expand their course
offerings are especially welcome.
Workshop attendees will both participate in, and then lead, open-ended
group activities intended to foster geometric reasoning, which have
been developed as part of the NSF-funded Vector Calculus Bridge project
at Oregon State University. Participants will also develop a plan for
how to implement such activities at their home institution.
Participants completing the workshop will be in a position to:
• Increase student mastery of this material;
• Improve their own understanding of the geometry of
• Better communicate with colleagues in other
• Increase the geometric content of related courses.
There will be sessions each day devoted to both theory (the geometry of
vector calculus) and practice (using group activities to improve
geometric reasoning skills).
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