Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)

This paper anlyzes the new elementary school mathematics curriculum materials being implemented in Taiwan. A list of objectives involving whole numbers is given for each semester in grades 1 through 5, with the time noted for each unit. Improved teaching methods, the use of the abacus and of technology, the roles of problem solving and estimation,…

This math curriculum guide, correlated with the numerical coding of the Math Skills List published by the Migrant Student Record Transfer System, covers 10 learning areas: readiness, number meaning, whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Each exercise is illustrated by a large…

A classroom activity in which numbers are assigned to words on the basis of geometric configuration of the letters is described. (SD)

A paper staircase drawn on a grid forms the basis for a discovery lesson in algebra. (DT)

Discussed are two approaches to determining which regular polygons, either inscribed within or circumscribed about the unit circle, exhibit rational area or rational perimeter. One approach involves applications of abstract theory from a typical modern algebra course, whereas the other approach employs material from a traditional…

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

Many activities are described for teaching two fundamental concepts concerning one-half. These concepts are one-half of a number and one-half of the size. (JT)

Problems set in the real world help students see the relevance of mathematics. Topics that provide sources of real problems are discussed, with examples: mazes, packing, and networks. (MNS)

The rational plane, consisting of the points in the Cartesian plane having two rational coordinates, is a model in which certain properties do not hold. Nine theorems are discussed. (MNS)

Three mathematical games which are developments of well-known games are described: Rummy, War, and Remembering. Seven packs of cards are illustrated. (MNS)

One mathematician's view of real problems is given. Described (with some humor) are magic retail numbers, the highway bypass, the elliptical table, and the senior-class schedule. (MNS)

Three board games are presented, with playing directions and comments to the teacher (MNS)

Scavenger hunt activities for a range of mathematical topics are presented. Numbers, measurements, fractions, and geometry are among the topics included for the 14 types of hunts described. (MNS)

A program designed to calculate pi using a Monte Carlo simulation based on "throwing darts" at a quarter circle of unit radius inscribed in a unit square is presented. (MP)