The math is not new to you. You've admired it for years. But Sketch pad REALLY permits one to examine the mechanics, results, and beauty. Before boxes, examine tangents, the difference quotient, and the definition of derivative. Then examine intervals, partitions, LEFT, RIGHT, and MIDPOINT boxes, then sums to obtain definite intergal approximations. Then,consider support/note-taking materials and end with the plotting of running sums to polka-dot the graph of the antiderivative.