"Visualizing Mathematics and Mathematical Processes"
A.I. Weinzweig
University of Illinois at Chicago
9711 N. Kildare Ave.
Skokie, Illinois, 60076
USA
E-mail:izzie@maverick.math.uic.edu
We will present a number of examples of the use of Computer Algebra in
helping students to understand some mathematical processes by "seeing"
what happens. We will illustrate the solution of systems of linear
equations by visulaizing the lines or planes generated at each step. We
will illustrate the use of Taylor Series in approximating functions,
and generating functions by Fourier Series. We will illustrate the use
some interesting problems such as the coin rotating about a coin, or does
any part of a railroad wheel go backwards, in motivating the study of
curves and the use of trigonometry.