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…

Describes the principles underlying computer programs designed to improve undergraduate calculus instruction. The programs were produced for teacher use on a single microcomputer for when there are not enough microcomputers available to allow students to have access to them. (JN)

This is the first of a two-part series on the general concept of vector space. Provides tool procedures to allow investigation of vector properties, vector addition and subtraction, and X and Y components. Lists several sources of additional vector ideas. (JM)

Presents the geometric, software-ergonomic, and educative standards for interactive graphics systems envisioned for planimetric constructions and calculations in secondary mathematics instruction. Describes the geometric-didactic potentials of the MS DOS-Version 1.6 of CABRI-Gomtre which is an Intelligent Tutoring System with the possibilities for…

Presented are ideas for the utilization of Microsoft Works in the secondary mathematics classroom. The spreadsheet and graphing capabilities of this software package are demonstrated for several topics including the concept of slope for first year algebra, and creating and interpreting graphs for a general mathematics class. (Author/CW)

Provides examples from elementary mathematics principles which illustrate some of the advantages of an interactive mouse-driven animation. Explains the effectiveness of this approach with exercises dealing with a plane of waves and quadratic formulas. (ML)

A nonconventional graphical way to represent functions (the Parallel Axes Representation) is discussed. A computerized environment designed to support the exploration of the representation of linear functions is described. The didactical potential of this representation is illustrated. (CW)

Describes topics and applications of five lessons dealing with applied mathematics (solving sequential optimization problems, queuing theory, graph theory, glyphs (pictorial techniques for displaying relationships among variables, medical mathematics). Design and evaluation of these materials which employ interactive graphics are also described.…

Described are examples of classroom exercises that use interactive graphics software for personal computers to enhance the teaching of statistical concepts by allowing students to generate multiple examples, make conjectures, and verify their findings about the concept. The transfer of this interactive tool to other subject areas is suggested.…

Proposes to modify the procedure proposed by Abelson and diSessa to produce a polygonal path with vertices that lie exactly on an ellipse. Provides a detailed proof. Implements a limiting process to produce the best possible approximation to any ellipse for any given screen resolution. (CW)

Presented are abstracts of 10 papers presented at the 1984 National Educational Computing Conference. Paper topics deal with science teaching using microcomputers, exploring mathematical concepts with LOGO, a chemistry problem-solving program, interactive computer graphics in mathematics, an educational game to teach science/mathematics, learning…

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)

Provides an introduction to the mathematics and art of the complex plane. Includes two computer programs written in GW BASIC to facilitate a reader's initial investigation. Identifies additional software resources. Stresses the appeal to future scientists, mathematicians, and artists. (CW)

Illustrates the exploration of random and chance events with a microcomputer. Demonstrates this principle using turtle graphics, coin flips, and die rolls in a student exercise involving distance and direction on a number line. Includes the necessary LOGO programming statements to use this method. (CW)

Reviewed are two microcomputer software packages which may be useful in mathematics education: "Hands-On Math Volume 3," and "MathCAD 2.5." Listed are the educational level, hardware requirements, package contents, cost, and availability. Discussed are the functions, applications, strengths and weaknesses of each package. (CW)