Reasons other than utility are needed to justify the place of algebra in the mathematics curriculum for all children. The possibility of considering generalized arithmetic and computer algebra are each discussed. (MNS)

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

APL was invented specifically as a mathematical teaching tool, and is an excellent vehicle for teaching mathematical concepts using computers. This article illustrates the use of APL in teaching many different topics in mathematics, including logic, set theory, functions, statistics, linear algebra, and matrices. (MNS)

The author stresses that students need a thorough understanding of certain mathematical ideas in order to write adequate computer programs. He presents some examples using BASIC and LOGO and discusses writing programs as a mathematical exercise and using mathematics in programing. (MNS)

This teacher's guide is designed for teaching BASIC and introducing students to the use of the computer by means of a series of short written lessons. The purpose of such a series is so that classroom time required for the series would not seriously hinder the progress of the normal course of study, and each student would have an opportunity to…

The first aim in school might be to help children become more aware of the algorithmic processes they use; then, ensure that they can devise algorithms and define them. Many examples of how these aims can be met are given, including the use of calculators and computers. (MNS)

A number of activities are suggested that represent the proper usage of a computer within a content area; namely, a way to further the student's understanding of the concepts being taught. (MP)

A number of microcomputer system characteristics are discussed and recommendations made that will help the educator in selecting a system. (MP)

Differences in computer languages are noted. Symbol-based languages offer some distinct advantages over number-based languages, both in the form and the content of the student's interaction with the computer. Some of these advantages are explored and their applications to teaching mathematics described. (MNS)

This monograph is intended to be a practical introduction to computers for K-12 mathematics teachers, describing and illustrating ways in which computer technology can be used in the teaching of mathematics. It is organized according to the major ways computers are used in classrooms, and includes activities with suggested lesson outlines, BASIC…

The objectives of this module on making comparisons and ratios include using ratios to compare sets of objects and expressing ratios as decimals or fractions in lowest terms. The module provides six experiments. An envelope of manipulatives accompanies each of the first three experiments. The fourth experiment requires a multispeed bicycle. The…

This article illustrates how questions from elementary finance can serve as motivation for studying high order powers, roots, and exponential functions using Logo procedures. A second discussion addresses a relatively unknown algorithm for the trigonometric exponential and hyperbolic functions. (PK)

The article discusses the use of computers to teacher college level mathematics. In particular, the Gaussian elimination procedure for solving a system of n linear equations in n unknowns, using a computer, is examined. (PK)

Argues that the effective use of calculators is important for employees in many areas. Suggests ways that schools might incorporate calculators into mathematics instruction. (PK)

An approach to teaching the exponential function using discrete methods, rather than continuous analysis, is presented. A model for simple geometric growth is explored, with a computer program given. (MNS)