Discussed is the problem of inscribing a rectangle of maximum area in a given right triangle. Answered is whether there is an advantageous orientation and whether a corner of the rectangle of maximum area can lie on the midpoint of a leg of the triangle. (KR)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Discussion of the diffusion of interactive communications innovations focuses on the integration of telecomputing tools into precollege curricula. Topics include the telecomputing teacher as instructional designer; a models approach to instructional design; and telecomputing activity structures, including interpersonal exchanges, information…

Presents ideas and activities designed to integrate poetry into the third-grade mathematics curriculum. Topics discussed include estimating, formulating and solving, comparing, and extending. Lists 11 poems that can be used. (10 references) (MKR)

Describes Iowa State's Exploration Program, a one-week course for gifted/talented youth, which includes videotapes, experiments, computer programing, debugging, and a final project. Provides objectives, material and equipment needs, and a student quiz. (SK)

Examines infinite sets and cardinality classifications of empty, finite but not empty, and infinite through discussions of numbers that fall into particular categories. Categories discussed include perfect numbers, Mersenne primes, pseudoprimes, and transcendental numbers. Discusses the Null Or Infinite Set Effect (NOISE) and infinitude resulting…

Presented is an activity where students determine the multiplication tables of groups of small order. How this can be used to help develop an understanding of the concept of group isomorphism is explained. (KR)

Intermediate level academically talented students learn essential elements of computer programming by working with robots at enrichment workshops at Dwight-Englewood School in Englewood, New Jersey. The children combine creative thinking and problem-solving skills to program the robots' microcomputers to perform a variety of movements. (JDD)

Describes a learning module designed to help students use the factor labeling method in problem solving. (ZWH)

Recommends a technique designed to foster creative thinking in the business communication classroom. Describes an approach that incorporates several different communication tools, including analytical letter reports, oral presentations, and the use of computer-based technology in an ill-structured problem situation. (KEH)

The recursive model presented here involves the study of drugs in the bloodstream and their subsequent elimination from the body. Both a basic and a more realistic model are presented and discussed in terms of an algebraic approach, a recursive approach, the graphical representation, and other extensions and connections particularly with models…

Another way to add and subtract, in which the mental regrouping strategy is applied to an original 10-structure, is presented. Pupils use a visual model, called "little person," to move from counting to visualization. Originally designed for use with pupils with learning disabilities, this method has wider applicability. (KR)

Presented are two teaching methods: an algorithm for determining area; and identifying cubic polynomials with three integral zeros, integral maximum and minimum points, and integral inflection points at the advanced placement calculus level. Examples for each are given. (CW)

Describes approaches and benefits of having students make observations and inferences from tracking-pattern diagrams and actual tracks made in sandboxes. (PR)

This activity allows fourth- and fifth-grade students to integrate math, language arts, problem solving, decision-making skills, and art design in the creation of their own business. Includes teacher preparation and a step-by-step guide to the activity. (JOW)