Gives definitions of taxicab geometry and the MacDraw format for graphing. In the world of taxicab geometry, movement through the plane is along horizontal and vertical paths. Describes specific application to conic sections, including circle, ellipse, parabola, and hyperbola. Lists five references. (YP)

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 use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

Reviewed are 13 computer software packages including "Algebra I Second Semester"; "The Algebraic Proposer"; "SVE AutoGraph"; "Geometry: Concepts and Proofs"; "Geometry 1&2"; "Graphics Calculator"; "Interactive Physics"; "Learning Data Analysis with Data Desk";…

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)

The LOGO programing of 30 ninth graders was analyzed from 3 theoretical perspectives: the van Hiele levels, the Structure of Observed Learning Outcomes taxonomy, and Skemp's model of mathematical understanding. Results indicate that success in LOGO programing appears necessary but insufficient for success with the geometric aspects of the analyzed…

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

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…

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)

Presents a method of viewing the reflective properties of the parabola and ellipse. Reinforces previously studied concepts of mathematics useful for individual or classroom projects. (PK)

In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

Discussed are the use of spreadsheets for demonstrating and exploring with the whole class, basic and advanced spreadsheet operations, geometric progressions, and graphing. Teacher responses to these methods are described. (CW)