Hestenes's 2002 Oersted Medal Lecture, "Reforming the Mathematical Language of Physics" (http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf)
In this lecture Hestenes is arguing for a reform of the way in which mathematics is taught to physicists. He asserts that using Geometric Algebra will make it easier to understand the fundamentals of physics, because the mathematical language will be clearer and more uniform.
He also explains some of the background and gives an introduction and some examples. He has been working in this field since 1966.
He refers to some follow-up lectures - any references to those would be welcome.
-- JohnFletcher
[Where exactly does he refer to follow-up lectures?]
Hestenes web site does have some further lectures listed at http://geocalc.clas.asu.edu/html/Overview.html and http://geocalc.clas.asu.edu/html/UGC.html
Note: All web references checked February 2010 and changed as needed. -- JohnFletcher
See also CliffordAlgebra, CliffordAlgebraResources