A calculus problem on finding the maximum volume of a box is discussed, with extensions to various types of boxes. (MNS)

A definition of convexity with six conditions is discussed and illustrated. (MNS)

A study of a class of numbers called 'Good numbers' can provide students with many opportunities for investigation, conjecture, and proof. Definitions and proofs are presented along with suggested questions. (MNS)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (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)

The historical origin of star-polygons is noted and the mathematics of them presented, with illustrations. Seven theorems are included, as well as a computer program designed to classify star-polygons. (MNS)

For more than 13 years, hard times in mathematics (particularly related to funding) went unremarked by mathematicians. One reason noted is that mathematicians have not been politically astute. However, the situation is changing. Reasons for this change are discussed. (JN)

A college course is described in which mathematics was taught through the perspective of historical development. Readings for the course and synopses of lectures are included. (DT)

This article discusses how numbers are stored internally in a computer. (DT)

This article treats aspects of Gaussian integers that form a setting in which students can generalize concepts from elementary number theory. (DT)

A variation of the classical birthday problem is considered. A BASIC program is included in the article. (DT)

The present mode of computer usage, with its emphasis on numerical problem solving, in typical undergraduate mathematics courses is questioned. The role of the computer in developing an awareness of shape and pattern is emphasized. (DT)

An interesting comparison of the techniques of geometry and calculus used to solve the same problem. (JP)