Presented is an alternative approach to the traditional teaching of Boolean algebra for secondary school mathematics. The main aim of the approach is to use Boolean algebra to teach pupils such mathematical processes as modeling and axiomatization. A course using the approach is described. (RH)

An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)

Two methods for solving matrix equations are discussed. Both operate entirely on a matrix level. (MNS)

Two statements concerning magic squares, considered as 3x3 matrices, are discussed and their proofs given using only high school level techniques. (MP)

Proposes that the learning of mathematics requires that the socially developed mathematical form, as well as the concepts it represents, become the property of the individual student. Indicates that the distinction between the form and content of mathematics, together with interrelationships between the two, is of crucial importance to effective…

The contributions of the Persian scholar Karaji are described. Perhaps his greatest contributions were his arithmetization of algebra and the geometrical representation of algebraic operations. (MNS)

Two specific cases involving Pascal's Problem of the Points are discussed, followed by a solution in the general case. (MNS)

Presents a technique that helps students concentrate more on the science and less on the mechanics of algebra while dealing with introductory physics formulas. Allows the teacher to do complex problems at a lower level and not be too concerned about the mathematical abilities of the students. (JRH)

Results of operations on the Pythagorean formula are interpreted pictorially to yield interesting art forms. (MP)

Three approaches for teaching students to solve inequalities involving absolute values, quadratic expressions, and rational expressions are illustrated. Then one technique that can be used with all of these problems is presented. (MNS)

Rules from an old mathematics textbook are discussed. Suggested are approaches to using the materials with students, challenging them to come up with explanations of why the rules work. (MNS)

Computation errors that may occur by expanded use of calculators are discussed. Potential errors with five exact arithmetic examples are described as they are translated into approximate processes. (MNS)

How to determine when there is a unique solution when two sides and an angle of a triangle are known, using simple algebra and the law of cosines, is described. (MNS)

How tedious algebraic manipulations for simplifying general quadratic equations can be supplemented with simple geometric procedures is discussed. These procedures help students determine the type of conic and its axes and allow a graph to be sketched quickly. (MNS)

Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)