A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)

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)

Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)

Two problem-solving posters with a Halloween theme are included. These activity sheets are designed to be easily reproduced for classroom use. (MP)

The author advocates a return to the teaching of logic in the public schools. Methods of lessening student difficulties in learning are highlighted and current school projects are discussed. (MP)

The task of finding the least number and the size of weights necessary to weigh every integral number of pounds from one to 40 is presented as a problem solving activity for elementary classrooms. (MP)

A special calendar chart is presented that can be used to find out what day of the week any date falls on during the 1980s. (MP)

The use of a 25-pin lattice geoboard in a six-week course in middle school geometry is presented, with sample activity cards and test items. Two other ideas discuss the use of algebra in solving verbal problems and teaching negative exponents. (MP)

Measurement activities designed to lead students to see measurement as more than using a device for getting and recording data or applying formulas are described. The activities will help students develop insights into relating and comparing measurements of figures involving length, area, and volume. (MK)

A general discussion of teaching the gifted is presented, a short description of work done with the mathematically gifted junior high students at Johns Hopkins University is given, and specific suggestions for teaching the gifted are outlined. (MK)

Tessellation provides challenging problems for both the mathematician and the artist. This note presents some attempts to work in the borderland between art and science, using colored illustrations rather than long verbal explanations to demonstrate the progress achieved. (Author/MK)

A team mathematics competition for students from a junior high school is described. A method for assuring that all ability levels are represented on each team is included. (MK)

The article includes a short history of polygonal numbers, a method for finding the root of a polygonal number, and suggestions for using polygonal numbers in the classroom. (MK)

Examples of opportunities for undergraduate students to engage in mathematical research are demonstrated. All examples are partition identities. (MK)

Highlights a mathematics program for gifted students (ages 6-8) in Beijing. Different components of the program are described, including using audiovisual geometry, emphasizing the combination of shape and number, stimulating imagination, applying the discovery method, and using the search-out model. Provides sample math problems. (CR)