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We started teaching Mathematica-based mathematics courses in 1989. We made every mistake in the book—mistakes I often see in other attempts at using Mathematica or other math processors at many universities and high schools. But we were fortunate enough to learn from our mistakes and progress to the point at which we have an efficient, effective set of successful courses including precalculus, calculus, vector calculus, differential equations, matrix theory, and probability theory. These courses are in service on campuses and internet distance education at Ohio State and Illinois.
The courses are highly visual, but with a twist articulated by former teacher Scott Mills Gray: “While visualization is an extremely important aspect to a learning system, if the teacher or author is creating all the visualizations then it is of no help to the student. What is more important is that the student have an unbounded set of tools to create their own visualizations.” Our students have this set of tools.
For more information, attend the talk and if you can not wait, visit www-cm.math.uiuc.edu, netmath.math.uiuc.edu, and matheverywhere.com.
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