Five graded sets of examples of alphametrics are provided. The puzzles are suggested for use in developing the traits of considering all possibilities and systematic working. (MP)

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

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

This document is designed to assist teachers in helping students in further development of problem-solving skills. It consists of: a statement of purpose; an introduction (noting the place of problem-solving in junior high school mathematics curricula); a definition of problem-solving; a four-stage general framework for solving problems (which…

Several problems that can be used with calculators are provided. Teaching tips and references are included. (MNS)

Involving students in generating and solving their own problems is proposed. A method for generating problems by using a number puzzle is presented. Ideas for using the "what if not" technique are also given. (MNS)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

The use of trial-and-error strategies to solve problems is endorsed. Types of problems with which trial and error is effective are discussed, with examples of how it is used, and teaching considerations are briefly considered. A computer program for one problem is included. (MNS)

"Mental work" recorded in primary mathematics classes as part of the Classroom Interaction Process is not a simple, single activity of drill or quiz but a set of overlapping activities with different functions. A more analytical approach to mental work is advocated to enhance its usefulness as a classroom activity. (Author/SJL)

Discussed is the performance of college students on the task of solving chemistry problems involving Lewis structures. Difficulty of the task and of individual problems is described. A taxonomy of skills associated with Lewis structures is presented. (CW)

Various methods for solving the problem of finding when the hour and minute hand of a watch have the same direction are explored. The relationship of these problems to the educational environment and the maturity of the student are discussed. (CW)

The mathematical content involved in self-teaching enrichment models for students in grades 8-12, the pedagogy employed in a summer institute for such students, and the results obtained are presented. (MNS)