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 author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom use as enrichment material in courses on ODEs, in particular, to reinforce the unit on the Existence-Uniqueness Theorem for solutions of initial value…

Over the past two decades, calculus reformers have called for the use of alternative pedagogical techniques to promote student learning. Some mathematics instructors have responded by developing a set of student projects intended to hone thinking skills and improve the mathematical writing skills of calculus students. Drawbacks to this strategy…

This volume contains the Annual High School Mathematics Examinations given 1973 through 1982, supplementing three previous compilations. The examinations provide challenging problems which teach, stimulate, and provide enjoyment for both participants and readers. In addition to presenting the ten examinations, consisting of 35 problems for the…

Instructional materials used in two pilot studies are presented. Appendix A contains components of the problem-solving bulletin board. Eighteen problems are stated along with suggestions for solving each problem. Problems 1-10 contain questions extending the original problem. Teacher answer sheets are given for problems 4-18. Appendix B contains…

This volume, a part of the Elements of Mathematics Program (EM), contains 200 problems which require no special training beyond elementary mathematics, but often careful analysis and some ingenuity. The statements of some problems involve functional notation, but most are stated either in prose or prose accompanied by illustrations. Problems are…

A brief overview of CHEMEX--a problem-solving, tutorial style computer-assisted instructional course--is provided and sample problems are offered. In CHEMEX, students receive problems in advance and attempt to solve them before moving through the computer program, which assists them in overcoming difficulties and serves as a review mechanism.…

The last 13 of 32 exercises of a course designed to give a wide range of skills in deductive, inductive, and indirect methods of proof in geometry are presented. (MP)

Presents a computational example of a quantum theory chemistry suitable for inclusion in an undergraduate physical chemistry course. (SL)

Problems were developed by third graders involving holiday customs in one of the countries of their ancestors. Eight sample problems are included. (MNS)

These activities involve students in interpreting story problems, drawing their own conclusions, and making guesses. Four worksheets, for levels 1-8, are included, along with teaching suggestions. (MNS)

This report analyzes the discursive interactions of four students to understand what heuristic methods they develop as well as how and why they build isomorphisms to resolve a combinatorial problem set in a non-Euclidian context. The findings suggest that results of their heuristic actions lead them to build isomorphisms that in turn allow them to…

Results were interpreted in terms of an initial tendency for Ss to guess in order of frequency followed by a change to guessing words at the appropriate frequency level. (Author)

To help mathematics teachers introduce and reinforce concepts and processes by using relevant problems, several such problems are presented and discussed. (MNS)

Reports on the use of videotape recordings illustrating experienced problem solvers working out solutions to typical introductory physics problems. Includes brief summaries of student response to the recordings. (SK)