Discussed are several different transformations based on the generation of fractals including self-similar designs, the chaos game, the koch curve, and the Sierpinski Triangle. Three computer programs which illustrate these concepts are provided. (CW)

Uses chaos theory to investigate the nonlinear phenomenon of population growth fluctuation. Illustrates the use of computers and computer programs to make calculations in a nonlinear difference equation system. (MDH)

Provided are three program listings which may be used to illustrate this fractal figure. Extensions of these algorithms and their use in the study of chaos and fractals are suggested. (CW)

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)

Studies the simple dynamical system of the pendulum and the chaotic behavior that occurs when the pendulum is both damped and driven. Provides an algorithm and BASIC program for the numerical solution to the differential equations encountered in the discussion. (MDH)

Presented is an educational game called "The Chaos Game" which produces complicated fractal images. Two basic computer programs are included. The production of fractal images by the Sierpinski gasket and the Chaos Game programs is discussed. (CW)

Presented are exercises that demonstrate the application of standard concepts in the design of algorithms for plotting certain fractals. The exercises can be used in any course that explains the concepts of bounded or unbounded planar sets and may serve as an application in a course on complex analysis. (KR)

The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…

Discusses chaotic behavior (movement) in a nonlinear system using LOGO programs. Presents several examples with program listings. (MVL)

This document consists of a booklet describing the Captured Wisdom project and transcripts of videos from the two CD-ROM disks. The booklet details how to get the most from the CD-ROMs with suggestions directed toward teachers, professional development providers, and administrators. Six Captured Wisdom learning sites are listed. The Captured…