Discussed are possible lessons for teaching prime numbers, composite numbers, factoring, and fractions. (CT)

Discussed are several possible methods of teaching a geometry lesson on angles and arcs. (CT)

The authors define an unusual partitioning or division" operation and explore number patterns and divisibility properties which result. The topic is suggested as enrichment material. (CT)

Describes use of a shoe box containing assorted elementary school science materials in grades one through six to motivate children and to encourage discovery learning. (JM)

Ten- and 12-year-old students received instruction that demonstrated the terms and relationships of conditional syllogisms. Both discovery and rule instruction increased average performance on written syllogistic reasoning tests; discovery instruction was generally more effective than rule instruction. (Author/LC)

Uses experiences with remedial readers to urge that reading must have a purpose--one purpose ultimately linked to the need for beauty, humor, and order. (MM)

Instead of deciding what should be taught, music educators should allow students to discover what they know about music. A project that requires students to compose musical commercials and a project that requires students to invent a notation system for writing music allow students to discover answers instead of memorizing them. (Author/AM)

The process of investigating some of the properties of diagonals and other geometric concepts with a group of 11-year-old girls is presented. Possible changes that could have been made in the lesson are discussed, and examples of individual student work are provided. (MP)

A teacher reflects on the choice of books available for high school students that will reflect their own interests and concerns. (HOD)

Typical difficulties involved in solving combinatorial problems are examined and seven common pitfalls are discussed. (MP)