This module uses the problem of modeling growth in a chambered nautilus shell to give the user experience with the concepts of polar coordinates and parametric curves.

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A **mathlet** that illustrates the relationship between the graphs of the natural sine and cosine curves and the vertical and horizontal coordinates of points on the unit circle.

This module a standard model of population growth in a constrained environment.

The use of JavaMath is explained via an example and ideas for new types of web service are discussed.

A **mathlet** that allows the user to input a sequence of 0's and 1's of length 20 and then tests the sequence for randomness using three different tests.

An **article** that presents an interactive, tactile, real-time proof of the parity theorem for permutations

An **article** about software tools that have been developed in *Geometer's Sketchpad* to aid in constructions in non-Euclidean geometry

An **article** about an online system for providing education and assessment for precalculus, which can substitute for routine problems given in homework and as exam questions

An **article** that explores visual patterns in Pascal triangles with entries determined by arithmetic in finite groups