The aim of this article is to identify the natural relationships that exist between using computer programming in BASIC, and some particular mathematical concepts. Specific examples are given for use by the mathematics teacher who has the necessary facilities available. (MN)

Material covers: (1) What Is a Mathematical Concept; (2) How are Mathematical Concepts Developed; (3) How Can Computers Help Children Learn Concepts; (4) Using Software; (5) Writing Programs; and (6) What Must We Do. Using software and writing programs are two very different experiences, but both can enhance concept development processes. (MP)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

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)

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Presents eight points to emphasize when teaching the concept of place value. Contends that converting numbers from one base to another helps students understand the concept of place value and the importance of context in establishing meaning. Provides a BASIC computer program to make conversions. (MDH)

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)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

The seven units developed for the Math Network Curriculum Project (MNCP) incorporate an active approach to the study of mathematics using microcomputers. The intent is to have students explore new concepts by experimenting with different situations. Most teachers of mathematics have not learned mathematics in an active way, and thus need to…

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…