The advancement of computer technology used for research is creating the need to change the way classes are taught in higher education. "Bringing Research Tools into the Classroom" has become a major focus of the work of the Office of Educational Innovation and Technology (OEIT) for the Dean of Undergraduate Education (DUE) at the…

Provides several algorithms that use extended precision methods to compute large factorials exactly. The programs are written in BASIC and PASCAL. The approach used for computing N considers how large N is, how the built-in limitation on exact integer representation can be bypassed, and how long it takes to compute N. (JN)

Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

Reported are several attempts to approximate Pi by using a microcomputer to calculate the ratio of the perimeter to the diameter of regular polygons enscribed in a circle. Three computer programs are listed. (MNS)

Microcomputer programs that help students calculate permutations and combinations are developed. Listings of five programs are included. (MNS)

Two graphics programs for students in grades six-12 are given. "Circle Through 3 Points" and "Star Polygons." Students gain familiarity with the xy-plane, the radii and centers of circles, and ellipses, while more advanced students learn about parametric equations and using random numbers to produce random shapes. (MNS)

The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

Using Logo to work through a maze is described. Suggested programs to help students learn to debug programs are also included, along with the story of the original "computer bug." (MNS)

A printout is presented from a database that contains information about microcomputer software which supports instruction in college mathematics. The listing is arranged alphabetically by course; source and price are indicated, with a list of publishers included. (MNS)

Presents a personal account of some mathematical work undertaken by the authors during a workshop session on the use of short microcomputer programs as starting points for mathematical investigations. Factors in their work (in solving equations) which may have implications for investigational work with students are addressed. (JN)

Using Logo as a companion language to BASIC is suggested. Variations on a computer program on squares are given, with follow-up activities suggested. (MNS)

Presents three problems, each with a computer solution in BASIC programming language: (1) finding sum equals product for three-digit numbers; (2) finding cases of improper cancellation that give a correct answer; and (3) finding perfect numbers. Some suggestions for further investigation are included. (JN)

Found that there was significantly improved achievement of students whose teachers received diagnostic error information from a microcomputer program compared to teachers who did not receive such information. Explanations for the improved achievement and implications for mathematics instruction are addressed. (JN)

Experiences in collecting and handling data are described. Activities dealing with measures of central tendency (including a computer program), measures of dispersion, an introduction to correlation, and use of graphs to display data are illustrated. (MNS)