An investigation of these numbers is shown to give students an opportunity to make use of such mathematical skills as algebraic substitution, modular arithmetic, counting arguments, and mathematical induction. (MP)

Explains how number work in elementary school can be extended to prepare students for algebra. Suggests some practical strategies that focus on five aspects of number knowledge essential for algebra learning. (ASK)

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)

A paper staircase drawn on a grid forms the basis for a discovery lesson in algebra. (DT)

Some properties of perfect numbers are illustrated. (SD)

How can a chain with 63 links be cut in 3 places so that you could hand a person any number of links from 1 to 63? Considers variations on the problem and derives a general formula. (TO)

One mathematician's view of real problems is given. Described (with some humor) are magic retail numbers, the highway bypass, the elliptical table, and the senior-class schedule. (MNS)

Included are brief reports on an algebra quiz in a menu format; two activity sheets on base two; and an alternative method of teaching least common multiple and greatest common factor, and related ideas, with six lessons outlined. (MNS)

Included in this department are brief articles on generating primitive Pythagorean triples with a computer program; using pictographs or pictures on graph paper to teach general graphing concepts; a method for factoring trinomials; and summing the harmonic series. (MNS)

Topics covered include alternate methods for finding LCM and GCF, imaginative word problems, and a primes-breakdown method of factoring quadratics. (MP)

A problem is discussed in which students investigate the properties of the perfect triangle. (MNS)

Involving students in generating and solving their own problems is proposed. A method for generating problems by using a number puzzle is presented. Ideas for using the "what if not" technique are also given. (MNS)

A card trick that can be explained and justified using first-year algebra is presented. It illustrates the power of mathematics to unmask seemingly complex situations. (MNS)

Determining which whole numbers can be expressed as the difference of two squares and which as the sum of two squares forms the basis of two discovery exercises. (DT)

Describes a classroom activity in which students explore a real-life application of algebra by sending secret messages to each other. (MKR)