Mathematical concepts to be used in the classroom - Pythagorean Triads" A Chain of Parabolas," and others. (RP)

An approach to teaching the proof of Lagrange's theorem reverses the traditional path of instruction. The route described first teaches that the order of an element always divides the order of the group, then moves to proving that the order of a subgroup divides the order of the group. (MP)

An application of the integration of polynomials is presented as an example of how integrals can be used in areas outside mathematics and mathematical physics. (MP)

The decline in enrollment in mathematics courses at universities is used as evidence of the increasing irrelevance of the mathematics done and taught at that level. (MP)

Diagnostic and instructional support systems for introductory statistics were developed to meet the need for good tests and resource materials. (MP)

The problem-solving processes of seven upper-division college students working a series of problems that could be solved by the application of one or more heuristics are described in detail. (MP)

Several approaches to the teaching of vectors are discussed, and a particular model is advocated. (SD)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

An approach to the calculus beginning with calculations of speeds was suggested by Morris Kline. This approach is developed and metricated. (SD)

Students in an elementary algebra course use audio-cassette recordings of lecture materials to accompany their textbooks. (SD)

By converting functional equations to cylindrical coordinates, plotting points on cardboard, and connecting these points with thread, one can make three-dimensional string figures illustrating the behavior of functions for which the derivative is not always defined. (SD)