This booklet is the fourth in a series of nine from the Teacher Training Institute at Hofstra University (New York) and provides descriptive information about the introductory course in Pascal programing with emphasis on the solving of problems found in the advanced-placement computer science curriculum of secondary school mathematics. Included in…

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

This computer software is a tool designed to help teachers help children in grades 1 through 7 construct their own knowledge of whole numbers and fractions. This software is the first in a series of new, dynamic computer microworlds that allow teachers to interact with students and students to interact with each other as they engage in…

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)

Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

This booklet is the ninth in a series of nine from the Teacher Training Institute at Hofstra University (New York) and describes the content and the approach of an institute course in which the participants use the personal computer as a personal tool within the mathematical discovery process of making conjectures, testing those conjectures, and…

Describes the processes involved in leading students from the basics of MaxMix courseware to the final investigation. Discusses a mathematical game, number and graphic tasks included in the package, along with invoking meaningful interaction and integration into classroom mathematics. (RT)

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)

Describes a unit for teaching exponential change in a noncalculus physics course by having students write recursive procedures in LOGO to graphically represent linear and exponential change. Summarizes the experience of implementing the unit in a segment on radioactive decay. Modifications to the unit are suggested for teaching exponential change…

This computer program, written in BASIC, performs three different calculations of test reliability: (1) the Kuder-Richardson method; (2); the "common split-half" method; and (3) the Rulon-Guttman split-half method. The program reads sequential access data files for microcomputers that have been set up by statistical packages such as…

Provides examples of such statistical graphs as line, bar, picture and pie. Suggests uses of Logo Turtle Graphics in graph construction. Includes several program procedures for creating designs with the computer. (RT)

Described is a strategy that allows students to experiment with probability without applying formulas to solve problems. Students are able to intuitively develop concepts of probability before formal definitions and properties. Sample problems are included along with BASIC programs for some of the problems. (KR)

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

Discusses the use of technology in solving compound interest-rate problems that can be modeled by linear relationships. Uses a graphing calculator to solve the specific problem of determining the amount of money that can be borrowed to buy a car for a given monthly payment and interest rate. (MDH)