This article traces the historical development of fractal geometry from early in the twentieth century and offers an explanation of the mathematics behind the recursion formulas and their representations within computer graphics. Also included are the fundamentals behind programing for fractal graphics in the C Language with appropriate…

After discussing the role of supercalculators within the business calculus curriculum, several examples are presented which allow the reader to examine the capabilities and codes of calculators specific to different major manufacturers. The topics examined include annuities, Newton's method, fixed point iteration, graphing, solvers, and…

This paper describes a method of understanding student problem-solving behavior during computer-assisted instruction using trigonometry as the example domain. Instead of attempting to model the student's process for solving problems, techniques which infer the equivalence between two adjacent steps in the student's process are used to determine…

Describes the method for producing the equiangular spiral, the geometric curve generated by modeling an insect's orientation process to an illumination source, utilizing a LOGO Turtle program which is included. (JJK)

Reports on the development and application of a series of computer programs which simulate the outcomes of students' perceptions regarding forces acting on objects at rest or in motion. This dissonance-based strategy for achieving conceptual change uses an arrow-based vector language to enable students to express their conceptual understanding.…

This study investigated differences in achievement for control groups learning college algebra using traditional classroom instruction methods compared to experimental groups using computer algebra tutorials for three precalculus topics. Two instructors each taught one control group and one experimental group. No significant differences were…

This report includes the framework, the experiences, the benefits, student attitude survey results, typical computer screen output, and BASIC program listings for PROBLEM, a general computer system for homework management in a time-sharing environment that can handle any exercise in which students must calculate numerical results from numerical…

This article provides pedagogical techniques that require active student participation in the use of computer spreadsheets while determining recursive numerical solutions to equations. Included are several computer screen displays which illustrate the various advantages in using spreadsheets specific to synthetic division, the bisection method,…

Describes a project aimed at examining the problems involved in a large scale integration of computerized simulations into the present structure of physics teaching in Israeli high schools. Assessment by students, teachers, and the project team indicated general satisfaction with the project. Discusses difficulties of implementing computer-based…