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)

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)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)

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)

Historical movements in the development of the use of computers in mathematics education are highlighted. The development of more efficient interfaces between users and machines are discussed. Future trends in this area are identified. (CW)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

This document provides activities that teach seventh grade geometric concepts by using the LOGO programming language. The entire package consists of the printed text and an accompanying diskette which is integral to the program. The package contains 17 lessons; all but two of the activities contain a pre-activity reading, a pre-activity written…

Described is a year-long study of the way a group of six 12-year-old children went about solving a special class of geometric problems using a computer and a limited set of LOGO programing tools. Examines solution strategies deciding whether those strategies led to insights about mathematical relations. (Author/MVL)

Investigated was the effect of programing-augmented mathematics classes on the math achievement, problem solving abilities, and attitudes of students with different cognitive styles. Reports BASIC programing groups demonstrated higher mathematics achievement than the LOGO group, and field independent students performed better and had more positive…

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)

Offers several LOGO programs to study the behavior of simple nonlinear systems. Suggests that LOGO is an excellent tool for studying chaotic systems. Offers suggestions for different forms of LOGO. Builds upon programs presented in a previous article. (MVL)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Described is a study in which seventh graders used LOGO in place of receiving geometry instruction. It was hypothesized that angle recognition estimation and construction would be higher for the LOGO group. Reports that a difference was found favoring the LOGO group. Provides a short history of the LOGO language. (MVL)