A nontraditional approach of graphing equations using parallel axes produces some dual concepts when compared to graphing equations with the traditional perpendicular axes. (JT)

Described is the construction of a computerized test bank to generate and score tests in college algebra, trigonometry, and intermediate algebra; including a discussion of uses, advantages and disadvantages of computerized testing. (JLH)

The formula for the sum of the nth powers of the first k integers was shown by Bernonlli to be obtainable from Pascal's triangle. The derivation is reported. (SD)

Tests for divisibility of integers are derived and described. (SD)

Discusses students' uses of certain programs, in contrast to writing them. Three programs are discussed: one on nonreal roots, one on dividing polynomials by quadratic polynomials, and one on "unfactoring." (MNS)

Discusses the factoring of polynomials and Fibonacci numbers, offering several challenges teachers can give students. For example, they can give students a polynomial containing large numbers and challenge them to factor it. (JN)

The development and role of algebra in the curriculum are traced historically. The slow development over centuries is emphasized. (MNS)

Exploring the numerical nature of quadratic equations is the focus of this article. Small solutions, the general case, and a detailed analysis are each presented. (MNS)

Included in this section are brief articles on drawing altitudes of triangles, sketching parabolas, and visualizing variability. (MNS)

Discusses algebraic programing languages, availability of these languages, and programing problems. Also discusses the future of these languages in chemical research and chemical education. A program illustrating the general algebraic and algebraic matrix manipulating capabilities of the REDUCE language is included. (JN)

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…

Two methods are considered for finding the logarithm of a number using elementary arithmetic. (DT)

Methods of teaching students to solve equations and inequalities containing parameters are suggested. (DT)

A geometric method of solving quadratic equations is described. (DT)

An algebraic-geometric solution technique used by the ancient Chinese is examined. (DT)