Described is the development and implementation of a course on the history of irrational numbers for inservice mathematics teachers in Israel. Some of the materials included in the course are discussed. (RH)

Presents a variety of mathematics activities for students to solve. Sections are included on geometrical dissection, prime numbers, trigonometry, and number concepts. (RH)

Using factoring as an aid to mental multiplication is illustrated. Other suggestions for teaching mental computation are also included. (MNS)

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)

Four ways of knowing about numbers are listed, with direct estimation emphasized. Using perceptual anchors is described, with several teaching tips on their use in estimation. (MNS)

Questioned is a method of having students tap reference points on numerals to count out sums, differences, and products. How the method works, educators' reactions, and problems noted in interviews with children 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)

Two relevant applications of mathematics and computer science are presented: International Standard Book Numbers (ISBN) that appear in textbooks and universal product codes that appear on grocery products. A computer program is included. (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)

Included are brief reports on an algebra quiz in a menu format; two activity sheets on base two; and an alternative method of teaching least common multiple and greatest common factor, and related ideas, with six lessons outlined. (MNS)

Two activities are presented. The first involves geometric concepts using the alphabet, while the second is a game to provide practice in finding factors of composite numbers. (MNS)

Simple patterns both in mathematics and music are discussed. Several activities using standard instruments and handmade devices are described. (MNS)

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

Examples of diversions with cards that may be used to illustrate the concept of a cyclic group and structural properties of the integers modulo a prime are presented. (MNS)

Describes various aids and activities to help in planning lessons that will encourage the development of sound place value knowledge. Also discusses various instructional strategies to help students avoid problems which may lead to an incomplete or faulty understanding of place value. (JN)