Four specific problems are presented, discussed, and extended to illustrate how diverse instructional strategies, materials, and resources can be used to develop problem-solving skills. (MP)

The problem of finding the maximum number of right angles a polygon can have, given the number of sides, is discussed in detail. (MP)

A set of activities geared towards decoding messages by evaluating algebraic expressions and discovering coding rules by analyzing pairs of coded messages is presented. (MP)

A lesson involving moebius strips and geometric properties is reviewed. Specific activities are suggested. (MP)

Describes a science program designed for gifted seventh and eighth grade students. Includes curriculum guidelines; implementation, development, and evaluation of the program. (MA)

This report describes several student investigations in an undergraduate mathematics degree course. (MP)

A series of activities that focus on the process of measuring are presented. The material is designed to help children develop a concept of measurement by leading them through the processes used in establishing formal measurement systems over the centuries. (MP)

Learning activities based on a geometrical puzzle that consists of rearranging triangles and trapezoids are used to teach concepts involving area. (MP)

Alternative algorithms, "tricks," and shortcuts are viewed as ideally suited for inclusion in a systematic program of practice because of their motivational effect and the mental stimulation involved in discovering why they work. (MP)

Ideas and examples that support the problem-solving role of computers in the classroom are given: procedures, techniques, and sample problems that can be used with beginning, intermediate, and advanced students have been included. (MP)

Aspects of the instruction of trigonometry in secondary school mathematics are reviewed. Portions of this document cover basic introductions, a student-developed theorem, the cosine rule, inverse functions, and a sample outdoor activity. (MP)

Remarkably versatile and demonstrated as effective at all grade levels, the discussion method has great potential for classroom teaching. Teachers should use this method more often because it teaches students to speak freely, listen to others, analyze different points of view, and evaluate the effectiveness of a discussion. (CMJ)

The author describes the areas in the kindergarten classroom--blocks, toys, cooking, games, job charts--which can be used in furthering a child's developing mathematical skills. (KC)

Addresses the issue of vocabulary in the English as a Foreign Language classroom and introduces a technique for interlingual lexico-semantic comparison: the lexigram. This technique is based on restricted word-association data gathered from native speakers of English and Spanish and gives insights into vocabulary development. (Author/PJM)

Samples of materials available to students from grades 4 through 12 at a Mathematics Center are reviewed. The examples are part of a collection of more than 200 mathematical tasks using solid materials in a new approach to problem solving. (MP)