Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

Investigated effects of computer assisted instruction (CAI) on learning efficiency, defined as either higher passing percentage or less time on task. Subjects (N=24) were college mathematics students who either were lectured or had a CAI tutorial on the lowest common denominator. The CAI group took less time, but solved more problems incorrectly.…

Shows how a simple spreadsheet program can be used to teach calculus concepts more effectively through simultaneous use of review questions and instructions, actual manipulation of data and formulas, and visual illustration of results. Concepts illustrated include the difference quotient and derivation of a function; difference and differential;…

Described is an experience in assigning mathematics problems that have been purposefully selected from professional journals to assist upper level college mathematics students in developing confidence in their ability to contribute published solutions. Several examples are included. (JJK)

Presented is an interactive PASCAL computer program that computes the true mortgage interest rate. The half-interval technique, a method from numerical analysis, is incorporated into the program algorithm to approximate a solution of a continuous function on a closed interval. (JJK)

A computer program generates sets of simultaneous linear equations for students to solve; the program also solves the systems and provides teachers with solutions. (SD)

Describes a model for organizing research and development on educational applications of the information technologies. The development and evaluation of interactive video courseware using the model (an interdisciplinary team approach) for precalculus mathematics instruction is included. (JN)

To illustrate that the writing and utilizing of declarative language programs can be a straightforward task in a logic class, a logic system is defined and a truth-table generator and validator are implemented using PROLOG programing language. Also, using BASIC programing language, an example of a contour map is presented. (JJK)

Described are ways that specific concepts from abstract algebra can be programed using the software package features of the Ada Programming Language, which is the primary language of the Department of Defense. Included are typical programs with their respective outputs. (JJK)

Presented are reviews of several microcomputer software programs. Included are reviews of: (1) Microstat (Zenith); (2) MathCAD (MathSoft); (3) Discrete Mathematics (True Basic); (4) CALCULUS (True Basic); (5) Linear-Kit (John Wiley); and (6) Geometry Sensei (Broderbund). (RH)

Described is a Monte-Carlo method for modeling physical systems with a computer. Also discussed are ways to incorporate Monte-Carlo simulation techniques for introductory science and mathematics teaching and also for enriching computer and simulation courses. (RH)

Describes the approach taken and materials used for introducing computer symbolic mathematics to undergraduate calculus students. Explains the features of the muMATH software package and reviews the modifications that were made to the program. Includes an exercise on plotting graphs. (ML)

Describes a system of computer assisted instruction geared primarily toward high school and university students involved in numerical analysis and optimization. Also describes (in detail) one of its modules to illustrate the general philosophy of the system. This module focuses on the simplex method. (JN)

The authors develop the idea of Niven numbers and discuss their potential usefulness in the classroom. A computer program to generate Niven numbers is provided. (MK)

A method that enables people to obtain the benefits of statistics and probability theory without the shortcomings of conventional methods because it is free of mathematical formulas and is easy to understand and use is described. A resampling technique called the "bootstrap" is discussed in terms of application and development. (KR)