The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…

Twenty puzzles originally posed by Sam Loyd (1841-1911) are presented. Solutions are provided. (SD)

A series of maps is presented for coloring with the fewest possible colors. (SD)

Presented are a series of word problems which give students the opportunity to use or develop problem solving skills. The problems are open-ended, with possible answers included. (JP)

This section has four topics: (1) sample mathematical competency problems for Indiana Elementary Teachers circa 1920; (2) an unusual problem suitable for calculators; (3) a unique way for teaching rounding off numbers; and (4) student construction of problems that create words on calculator displays when they are turned upside down. (MP)

The calendar provides elementary mathematics students with open-ended questions intended to engage them mathematically in high-interest activities. No answers are provided so that students are encouraged to look alone, or in small groups, for significant mathematical evidence to develop confidence and the necessary critical thinking skills. (JJK)

Utilizes the problem of determining the number of different ice cream cones and cups that can be made from a choice of 31 flavors to investigate the concepts of combinations and permutations. Provides a set of six related problems with their answers. (MDH)

Clapping music for two performers provides the basis for a series of mathematical problems in combinatorics and group theory. A discussion provides insight about how to avoid overlooking global extrema in constrained max-min problems when solving systems of algebraic equations. (JJK)

One schools' experiences with mathematics contests are described, with American Pi, the Great Calculator Contest, and the Forest View Math Olympics in problem solving each detailed. (MNS)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)

The use of the hand-held calculator for introducing geometric growth is illustrated. The activity is designed for secondary school mathematics students. (MP)

The recursive model presented here involves the study of drugs in the bloodstream and their subsequent elimination from the body. Both a basic and a more realistic model are presented and discussed in terms of an algebraic approach, a recursive approach, the graphical representation, and other extensions and connections particularly with models…

Example of magic tricks that can be used as an integral part of various lessons in arithmetic and algebra are given. Their mathematical basis is also discussed. (MNS)