  The key difference between math as math and math in science is that in
science we blend our physical knowledge with our knowledge of math. This
blending changes the way we put meaning to math and even to the way we
interpret mathematical equations. Learning to think about physics with math
instead of just calculating involves a number of general scientific thinking
skills that are often taken for granted (and rarely taught) in physics classes.
In this paper, I give an overview of my analysis of these additional skills. I
propose specific tools for helping students develop these skills in subsequent
papers.
