Discusses whether a map can be constructed using only the distances between 15 selected cities. Concepts used in the discussion come from geometry, matrix theory and trigonometry. (PK)

Argues for teaching different approaches to solving problems. Using a geometric example, alternative solutions are given which use synthetic geometry, transformation geometry, analytic geometry, complex numbers, trigonometry or vectors. (PK)

Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)

Brief articles concern solving a polynomial equation of degree greater than two, an approach for teaching an ambiguous case in trigonometry, and built-in functions on calculators and computers. Two computer programs are listed. (MNS)

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)

Concern is expressed that trigonometry is being de-emphasized at the secondary level, and that even incoming college students with excellent mathematics backgrounds and aptitudes appear to be "drawing blanks" on even the most fundamental trigonometric concepts. Teaching trigonometry as the ultimate high school subject is promoted. (MP)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)

The method used at airports in determining the cloud height at night is presented. Several problems, the equation used, and a simple design of an alidade (an instrument that shows cloud heights directly) are also included. (MP)

A method is given for computer calculation of transcendental functions. (MK)

Describes how to measure animals pace, stride, and step angle in degrees. Presents cases of measurements for dinosaur trackways. (YP)

A series of four activities are presented to enhance students' abilities to appreciate and use trigonometry as a tool in problem solving. Activities cover problems applying the law of sines, the law of cosines, and matching equivalent trigonometric expressions. A teacher's guide, worksheets, and answers are provided. (MDH)

Describes a homemade experimental chamber constructed to accurately measure the refractive index of a transparent liquid. (MDH)

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)

Examines the point of inflection in the curve determined by the hinge of a bifold door as it opens. Determines the equation of the branch function of the curve and calculates its point of inflection. (MDH)

Reports on the design and trialing of a Hypercard testing procedure known as the Recognition and Testing System (RATS) that will enable mathematics teachers and researchers to generate data relating to domain knowledge representation and its access by focusing on students' knowledge of plane geometry and trigonometry. Contains 11 references.…