The curved intersections of conics with planes are described. Two computer programs are given to enable students to simulate the "explosion" of ellipses into parabolas and then into hyperbolas. (MNS)

Illustrates how a simple computer program on transformational geometry can be used. The three examples consider use when the program is unknown, the program listing is known, and the existing program is to be modified. (MNS)

The computer simulation game "Curve-Fit" is described. Its overall objective is to fit curves to six different data sets by estimating the parameters of each curve. (MNS)

The project described in this article grew from the observation that many geometry students are unable to see anything in a diagram beyond a static presentation. A computerized microworld called "Motions" is described, with illustrations. (MNS)

An approach to finding the rational roots of polynomial equations based on computer graphing is given. It integrates graphing with the purely algebraic approach. Either computers or graphing calculators can be used. (MNS)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)

How the computer can become an integral part of mathematics learning at the junior high school level is discussed in terms of mathematics processes. The rationale for activities involving programmed processes and examples of them are given. (MNS)

Reviews for three software packages are given. These include "Equation Math," consisting of three programs for exploring graphs of the equations; "Recycling Logic," instructing students in the basics of reasoning; and "Turboplot-3D," intended for university-level mathematics, physics, engineering, and computer courses. (PK)

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)

This module is recommended as an honors unit to follow a unit on logic. There are four basic parts: (1) What is a Boolean Algebra; (2) Using Boolean Algebra to Prove Theorems; (3) Using Boolean Algebra to Simplify Logical Statements; and (4) Circuit Problems with Logic and Boolean Algebra. Of these, sections 1, 2, and 3 are primarily written…

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…