Describes an approach for designing instructional units based on careful consideration of the reading curriculum and its psychological foundations, and examines factors associated with the use of a small stand-alone computer to provide the primary instructional environment. Twenty-two references are listed. (Author/MER)

Presented is a method for finding two triangles that have five pairs of congruent parts, yet fail to be congruent. The solution is thought to involve some creative insights that should challenge both the teacher and students to recall and analyze all the congruence axioms and theorems. (MP)

The current and future development of "Geography 16-19," a curriculum project which combines a man-environment approach to geography with enquiry-based learning is discussed. Included is an overview of the curriculum framework, courses, syllabi, and teaching materials. (DC)

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)