A problem-solving approach involving systematic experimentation, one of the most-used problem-solving strategies, is advocated since it is useful beyond mathematics problems. Examples of its use are given, with two problems explored and four others noted. (MNS)

A question posed by Euler is considered: How can polyhedra be classified so that the results is in some way analogous to the simple classification of polygons according to the number of their sides? (MK)

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)

This sample lesson, used with sixth graders, is designed to integrate mathematics learning with the outdoors environment. (MK)

This guide for a mathematics curriculum for grades 1-4 presents topics in sequential order for the entire four-year program. Grade level was not used for separating units; instead, an integrated sequencing of concepts was used in preparing this guide. The relationship between units is specified for the teacher as an explicit mapping of how a…

Archimedes' shoemaker's knife problem is interesting in its own right and also allows the demonstration of heuristic teaching ideas and a different method of doing a routine construction. The focus in the article is on the thought processes involved and questions asked when attempting proofs with the problem. (MNS)

Designed for the students who have taken algebra and geometry and who need to strengthen their skills in problem solving and mathematical applications, this guidebook on minimum course content emphasizes the kinds of skills and procedures used in college placement tests. Overall course goals are specified, a course outline is provided, performance…

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…

This USMES unit challenges students to construct practical shapes which can be used as dice to make a fair decision between two or among three, four, or more choices. The teacher resource book for the Dice Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems,…