Using license plates and telephone numbers for teaching probability ideas involving counting rules is suggested. How each is useful is illustrated in some detail. (MNS)

An example is noted in which a given problem is reformulated and extended. The problem solving includes discussion and dispute, plus the recognition that different approaches are both possible and desirable, is thus demonstrated. (MNS)

Uses the modern development of mathematics education in the United States as background for the analysis of the influence of mathematics philosophy on mathematics education. Discusses the problem of how to develop the subject of philosophy of mathematics education, regarded as an impetus from mathematics education, to the further development of…

A discussion of what constitutes proof is given. Methods of teaching proof in a more intuitive and informal way than is usually done are suggested. (MK)

This monograph provides teachers with a wide range of articles on the teaching of problem solving in the mathematics classroom. The first section, on Understanding the Problem, includes articles which provide a sense of the "problem" of teaching problem solving. The second section, on Devising a Plan, provides suggested plans for…

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)

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

Example of magic tricks that can be used as an integral part of various lessons in arithmetic and algebra are given. Their mathematical basis is also discussed. (MNS)

Since problem solving is recommended as the focus of school mathematics, it should be given emphasis in programs for teacher preparation. A course should focus on strategies for solving problems, rather than simply using problem-solving techniques as other content is studied. (MNS)

A personal experience is described concerning problem solving that incorporates the computer to help generate multiple examples of proposed conjectures as solutions. The positive potential of technology to allow students of mathematics to experience the process of discovering mathematics through conjecture and generalization is emphasized. (MDH)

Mathematical skills and reasoning and their applications are considered as forming one of the basic and essential areas of knowledge and experience that should be available to all Australian children. This collection of essays explaining problem solving in mathematics as an organizing theme for current and future curriculum development is a means…

This publication is a study guide prepared for use in a National Science Foundation (NSF) Chautaugua-Type Short Course for College Teachers. The purpose of the guide is to provide college teachers with a variety of modeling methods that can be used with problem solving. Mathematical applications and illustrations are included, along with listings…

This document begins with a discussion of the author's approach to instruction in a mathematics laboratory. This discussion includes an enumeration of types of desirable or necessary equipment and advice on the management of a laboratory. The author examines issues related to achievement and readiness for more traditional school experiences in…

Designed for the student who has completed the geometry series in the Quinmester Program, this guidebook on minimum course content provides an investigation of challenging mathematical activities which are not usually developed in other mathematics courses. The content includes brainteasers, puzzles, and game theory. Overall course objectives are…

Reports on how experts in special education approach the problem of software selection. Offers guidance in examining if the software is modifiable and if it offers record-keeping options. Also contains a listing of sample programs that are suitable for special education students in language arts, mathematics, and problem solving. (ML)