Presented are the results of a study designed to determine the effect of computer applications on achievement in a college introductory calculus course. Experimental and control classes were compared at each of three participating colleges. The experimental classes solved calculus homework assignments using timesharing remote computer terminals.…

Described is the Dynamic System Simulation Language (SIM) mini-computer system utilized at the University of California, Los Angeles. It is used by engineering students for solving nonlinear differential equations. (SL)

The goal was to make the "super blackboard" and "super calculator" capabilities of the computer routinely available to instructors in undergraduate mathematics courses. A good approximation to that goal is described in terms of hardware, display, physical setup, instructors, and software. Alternate solutions and other considerations are included.…

An investigation of student proof behavior in a complex computer-assisted instruction (CAI) setting is presented. Using 125 logic derivation problems, the responses of 23 students, enrolled in the Stanford Logic-Instructional System, were evaluated to determine the amount of variation occurring in the structure of their proofs. By assigning the…

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)

The role of the computer in coordinating the activities surrounding five modes of mathematics instruction is discussed. The modes are: computer-assisted instruction, computer-managed instruction, computer-based simulations, algorithmic exercise solving, and computer-aided problem solving. (MP)

The Fibonacci Sequence describes a vast array of phenomena from nature. Computer scientists have discovered and used many algorithms which can be classified as applications of Fibonacci's sequence. In this article, several of these applications are considered. (PK)

The second in a series of four papers on computer use in mathematics education, this paper reviews some of the pedagogical rationales and research evidence related to the use of computers as a problem-solving tool in mathematics classes. A discussion on philosophies and objectives, effects of computer programming on mathematics achievement,…

This article illustrates how questions from elementary finance can serve as motivation for studying high order powers, roots, and exponential functions using Logo procedures. A second discussion addresses a relatively unknown algorithm for the trigonometric exponential and hyperbolic functions. (PK)

The article discusses the use of computers to teacher college level mathematics. In particular, the Gaussian elimination procedure for solving a system of n linear equations in n unknowns, using a computer, is examined. (PK)

Sophomore and junior students in the College of Engineering at Cornell University have been taught engineering mathematics using new computer software that performs exact symbolic algebraic and calculus operations. Describes this software, the computer-based mathematics laboratory, changes in the teaching/learning environment, and short- and…

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

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)