Described are ways that specific concepts from abstract algebra can be programed using the software package features of the Ada Programming Language, which is the primary language of the Department of Defense. Included are typical programs with their respective outputs. (JJK)

Described is an investigation into how the use of LOGO programing language affects children's basic knowledge of an angle. Findings indicate that children make erroneous adjustments to their conceptual knowledge of angle to accommodate the results of acquired procedural interaction with the computer. (Author/CW)

Discusses the concepts of fractals, fractal dimension, and the generation of fractals in LOGO. Provides diagrams of several fractals and their LOGO programs. Lists eight references. (YP)

Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)

Described are several programs that enable the user to evaluate derivatives to order n of any elementary function by using the combination of automatic differentiation method and A Programming Language (APL). Programs calculating first- and higher-order derivatives are presented. Selected APL symbols are appended. (YP)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Explores the parallel axes representation (PAR) of linear functions. Illustrates the influences of slope and intercept values on the representation. Appended are five exercises for making the PAR programs using BASIC language. (YP)

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)

Discussed is a project promoting "thinking about what students did" in an Israeli high school. Five examples of the project are described with LOGO commands. Several educational ideas are provided. (YP)

Investigated are the developments of pupils' use and understanding of algebraic ideas within a LOGO programing context and a non-computational context. The research consists of a 3-year longitudinal case study of 4 pairs of pupils aged 11-16. LOGO experience enhanced the understanding of algebraic ideas. (Author/YP)

Describes study that investigated the effect of learning Logo on middle school students' understanding of specific mathematical concepts and on their level of cognitive development. Treatments for the experimental and control groups are outlined, hypotheses tested are explained, and pretests and posttests are described. (22 references) (Author/LRW)

Describes how Logo has been used to introduce primary children to mathematical concepts often considered to be too difficult for them. Outlines how Logo has been used to introduce the estimation of distance, the estimation of angles, symmetry, rules of precedence, the concepts of random, and the use of variables. (TW)

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)

Techniques for estimating pi using the microcomputer are demonstrated. Four BASIC programs, coded from pi generating formulas, are compared for efficiency. (PK)