This 8-page module summarizes a 16-page module produced by Undergraduate Mathematics and its Applications Project (UMAP). (MK)

Typical difficulties involved in solving combinatorial problems are examined and seven common pitfalls are discussed. (MP)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

Some of the changes in mathematics curriculum and pedagogy suggested by the calculator are described and discussed. (MK)

A calculus activity is presented which is designed to allow students to operate as mathematicians. (MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)

The need for common content in A-level mathematics courses in England is discussed. Considerations include the type of student, needed skills, and strategies. (MK)

Most presentations of mathematical ideas are suggested as being backwards from the way they evolved. Two alternatives are discussed, both emphasizing mathematical processes. (MP)

Properties of the cardioid, the nephroid, and the astroid curves are analyzed through a series of activities. (DT)

Reported are some of the highlights of a panel discussion held at the Joint Annual Meeting of the Mathematical Association of America in January 1987. Discussed are precalculus courses, challenging better students, calculus workshops, courses with projects, career awareness, coop programs, remedial programs, recruitment, seminar courses, and…

Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)

Discussed are two Euclidean constructions (synthetic approach and coordinate method) to inscribe regular polygons of 5 and 17 sides in a circle. Each step of the constructions is described using diagrams and mathematical expressions. (YP)

Presents two papers commenting on previous published articles. Discusses formulas related to the determinants of sums and tests the formulas using some examples. Provides three special cases of the determinants of sums. (YP)

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

Discussed are the mathematical methods for detecting a variety of common error patterns within the bar-coded identification numbers utilized in conjunction with scanning devices. Schemes for the use of check digits are examined that ensure conditions for detecting errors of specific types, including single digit error, transposition error, twin…