Illustrates how Lagrange's approach applies to the differential calculus of polynomial functions when approximations are obtained. Discusses how to obtain polynomial approximations in other cases. (YP)

Presents a theorem and its converse to generate all of the primitive Pythagorean quadruples. Provides a BASIC program generating them. (YP)

Discusses numerical methods to compute approximate solutions of a differential equation. Provides a Pascal program for the extended Euler-Heun method. (YP)

Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)

This article traces some of the events leading up to the call for reform, differing aspects of the suggested reform, steps taken, and possible future directions for the reform of calculus instruction. (CW)

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)

Provides four examples for testing the validity of logical arguments by using the method of truth trees. (YP)

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Discusses the need for a geometry course in a two-year college mathematics program. Provided are guidelines for developing the geometry course separately or integrally with current curricular pattern. (25 references) (YP)

Considers the reflections of the graphs of a function through an arbitrary line. Determines whether the result is a function and which functions are reflected on to themselves through a given line. (YP)

Discusses a student project requiring a student to sample a population of interest to obtain a set of data, compute the necessary descriptive measures, and make a conclusion based on the data. Described are the introduction phase; formats; handout material; and suggested projects for individual and teams. (YP)

Provides several problems and their solutions for a descriptive statistics course. Included are problems related to measurement, data collection, sample construction, applications, and computation. Discusses the misleading nature of statistics. (YP)

Examines some of the opinions and recommendations expressed in the current literature regarding changes computing technology may bring to the undergraduate mathematics curriculum. Discusses the views of educators, the stances taken by professional groups, and a look to the future. (26 references) (YP)

Several activities involving area and volume using empty paper rolls are presented. The relationships of parallelograms to cylinders are illustrated. Teaching suggestions are provided. (CW)

Describes a course, "Mathematics and the Environment," for liberal arts students. The course is designed to motivate students and to demonstrate that mathematical concepts are necessary to understand global issues. Lists some global issues, information sources, and classroom activities. (YP)