This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

Presented is a series of eight hands-on exercises using Apple II computer graphics to investigate the following characteristics of periodic functions: period, amplitude, horizontal shift, and vertical shift. Detailed teacher instructions and the accompanying computer program are included. (MDH)