Discusses the distinction between drawing and constructing in dynamic geometry environments. (MKR)

Discusses the differences between mathematical constructions and drawing, offers tips for emphasizing construction, and discusses appropriate constraints of constructions. (MKR)

The Geometric Supposer computer software is described. It allows users to make any geometric construction that Euclid knew how to make. Some explorations with the Supposer are presented. (MNS)

This discussion of a new computer-based medium describes microcomputer (MC) painting and its principal tool, the MC paintbrush, and explores their potential roles in mathematics, computer science, and art education in secondary schools. This paper describes the school computer, discusses capabilities of MC painting, explains how MC painting is…

Demonstrates how microcomputers can be used in teaching differential calculus, iteration, integral calculus, graphs, and statistics. Several ideas for putting this information into practice are outlined. Sample computer programs are included for the discussions on differential calculus, integral calculus, and iteration. (JN)

Digital photos and digital movies offer an excellent way of bringing real world situations into the mathematics classroom. The technologies surveyed here are feasible for everyday classroom use and inexpensive. Examples are drawn from the teaching of Cartesian coordinates, linear functions, ratio and Pythagoras' theorem using still images, and…

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

Ray tracing is a method that allows the creation of photo-realistic images on a computer. This article describes a shareware ray tracing program called PovRay and includes some ideas on how PovRay can be used in teaching and in 3-D geometry, physics, and other high school and university subjects. (Author/AIM)

Describes the derivation of the parameters incorporated into computer programs that are utilized to draw hypocycloids, which are the loci of points traced out by a point on a disk as it rolls against a circle and its interior. Includes information to obtain copies of the programs described. (JJK)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)

Provides a lesson that focuses on three-dimensional graphing, contours, and topographical maps using computer spreadsheets. (ASK)

The microcomputer has great potential for making high school geometry more stimulating and more easily understood by the students. The microcomputer can facilitate instruction in both the logico-deductive and spatial-visual aspects of geometry through graphics representations, simulation of motion, and its capability of interacting with the…

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…

Described is the notion of multiple alternative representations of mathematical reasoning, particularly as they relate to algebraic notation and the potential of computers to change representations. Features of a desirable notation for algebraic problem solving are described. This is followed by a description of the RAND Corporation's intelligent…