Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)

Reasons other than utility are needed to justify the place of algebra in the mathematics curriculum for all children. The possibility of considering generalized arithmetic and computer algebra are each discussed. (MNS)

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

Discusses potential uses of computer technology in the mathematics classroom and some factors constraining its breadth of use. Identifies the need for teacher education programs which support teachers' use of computers. Describes a cooperative project involving university faculty, secondary school teachers, and preservice teacher trainees which…

Examines the use of the computer to approximate the value of the definite integral normally calculated by mathematical means. Presents four examples using BASIC programs to approximate single and double integrals by numerical integration and the Monte Carlo method. Programs are provided. (MDH)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

Programs are listed for integer powers and fractional powers, with discussion of how to use them in instruction. (MNS)

Presented are exercises that demonstrate the application of standard concepts in the design of algorithms for plotting certain fractals. The exercises can be used in any course that explains the concepts of bounded or unbounded planar sets and may serve as an application in a course on complex analysis. (KR)

Illustrates the exploration of random and chance events with a microcomputer. Demonstrates this principle using turtle graphics, coin flips, and die rolls in a student exercise involving distance and direction on a number line. Includes the necessary LOGO programming statements to use this method. (CW)

Presents a program for the Apple II computer that teachers can use for exam questions and homework assignments. Prints out all cubic polynomials whose roots, maximum and minimum points, and points of inflection are all integers. (MVL)

Secondary teachers in a workshop on overcoming computer and math anxiety and students in a programming course were given measures of anxiety and achievement. Low mathematical ability and coursework were related to math and computer anxiety and negative attitudes. Attitudes improved for the teachers but not the students. (MNS)

The case for some elementary programing as part of mathematics instruction is presented. Ways in which microcomputers can be used in the mathematics classroom are described, with specific illustrations. (MNS)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)