Department
of Mathematics and
Statistics
Arizona State University
Abstract:
The JAVA Vector Field Analyzer II:
Curriculum integration and
inquiry based learning through interactive visualization
The VFA II is a sophisticated JAVA applet
that is freely available on the
WWW and which is virtually "ready to use"
without requiring long explanations. It was originally designed as a tool to
visualize the curl, divergence
and integral
theorems of vector calculus, and to
highlight the intimate relationship of vector calculus with differential equations.
Since its inception it has found
many more uses, including complex analysis and graduate level topics in dynamical
systems.
This presentation will demonstrate how to
effectively use this "open ended"
tool to involve students in the discovery
process, to ask questions, experiment and
make conjectures for which the
users feel personal ownership, and leading
to theorems and proofs that have
strongly visual conceptual roots.