Examines the students' understanding of mathematical structure and the relationship between problem solving and the identification of the structure in 13 word problems. Multidimensional scaling and hierarchical cluster analysis were used to assess how subjects organized word problems in their minds. (YP)

Two important factors that influence problem solving are the nature of the task and the kind of knowledge brought to the problem by the solver. After a consideration of the definition of a problem, puzzle problems are discussed, as are problem representation and general processes of solution. Also discussed is the question of solving problems that…

Masters of worksheets are given that are designed to help students develop the problem-solving skills of analyzing information, identifying the question, and selecting pertinent facts. (MK)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

This manual provides a comprehensive approach to problem solving; it is written in narrative style with numerous examples. The guide is organized in eight sections that cover the following topics: (1) problem-solving overview (with suggested readings and recommendations for schools); (2) a five-step model for solving problems; (3) strategies for…

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

The goals and history of the Mathematical Olympiads for Elementary Schools are described. Teams, levels, and gender are discussed, as well as teacher training, administration, scoring, and awards. Sample problems are included. (MNS)

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

Describes a class activity in which students create word problems associated to specific arithmetic problems that are then edited in their English class. Using the computer laboratory and a word-processing program under the supervision of the media specialist, the problems are compiled in a booklet, printed, and distributed. (MDH)

This monograph was developed with the intention of addressing the concerns of high school mathematics teachers in Alberta (Canada) who want to base their programs on problem solving but have questions about effective and efficient ways to do so. Considered are the most basic philosophical questions, and a framework is provided to use in solving…

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…

Six bonuses that students and teachers experience when using calculators are described. Then problem solving and creative problem-making are discussed, followed by practical suggestions for teachers who want to try calculators. Advice on personalizing the use of calculators and recognizing some of their limitations is also included. (MNS)

The author uses Stella the Spider as the main character in a number of three-dimensional geometry problems. Eight of these problems are discussed, with solutions. (MNS)

The skill of asking appropriate intermediate questions during problem solving is discussed. Several problems and other classroom activities are also presented. (MNS)