A method for converting a three-dimensional coordinate system to a two-dimensional coordinate system is explained. (MN)

This paper illustrates an approach to the study of dinosaurs through the algebra of sets. Initially, Venn diagrams provide answers to questions, but gradually the diagrams become more involved until answers are sought by means of the algebra of sets. (MN)

A different method for solving quadratic equations and inequalities is proposed. The method is applicable to solving quadratics over the set of real numbers as well as the complex field. (JT)

The topics discussed are, "Helping Students Understand the Distributive Property,""Converting from Base 10: Nonintegral Bases?,""Rapid Mental Squaring of Mixed Numbers," and "Some Nonstandard Binary Operations and their Properties." (JT)

A question as to the number of stitches needed for a particular triangular crocheted scarf gives rise to the use of several methods of solution including arithmetic series. (MN)

Formulas are developed which answer installment-buying questions without the use of amortization, sinking funds, or annuity tables. Applications for geometric progressions, proof by induction, solution of exponential equations, and the notion of recursive functions are displayed. (MN)

A class of triangles related to the Pythagorean triangles is described; theorems concerning this class are proved. (SD)

Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)

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)

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)

Presents a general mathematical framework for information retrieval, in which query evaluation is seen as a mapping from the free term algebra built by query descriptors and weights to the semantic algebra of evaluation value. Competing mathematical models that try to describe how retrieval systems behave are reviewed. (Author/MBR)

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)

Presents an example of mathematics from an algorithmic point of view, with emphasis on the design and verification of this algorithm. The program involves finding roots for algebraic equations using the half-interval search algorithm. The program listing is included. (JN)

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)

Two mathematical topics are interpreted from the viewpoints of traditional (performing algorithms) and contemporary (creating algorithms and thinking in terms of them for solving problems and developing theory) algorithmic mathematics. The two topics are Horner's method for evaluating polynomials and Gauss's method for solving systems of linear…