A general model for solving algebra word problems requiring a linear solution in one variable is described. A step-by-step approach is illustrated, with a worksheet included. (MNS)

Use of the calculator to create a series of iterations to approximate i to some desired degree of accuracy is illustrated with three problems on interest rates. (MNS)

Worksheets are given which involve activities using newspapers to find information and use it in problem solving. Recognition of numerals, price comparisons, writing a sports problem based on a picture, and finding ratios are included. (MNS)

An alternative explanation is presented for the pattern of relative difficulty of arithmetical word problems to that suggested in a 1983 article. It is argued, that for many problems, much of the symbolic manipulation is accomplished externally, not internally. (MNS)

Provides domino geometry problems, problems with arithmetic progressions, and magic pentagram sums. (JM)

Two factors that may affect achievement scores are discussed. The two factors are: students' expectations and the problem of homework. (MNS)

Four worksheets are included, providing practice in estimation, computation, pattern recognition, and problem solving involving calculator use. (MNS)

Discusses the "Every Pupil Response" (EPR) strategy and its use in teaching basic facts, problem-solving, place value, and fractions. Basically, the technique involves children responding simultaneously to a question by holding up a card, using parts of their bodies, or stick figures. Advantages of EPR are noted. (JN)

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)

Defines problem solving, discusses the use of problems developed by students that are relevant to their own lives, presents examples of practical mathematics problems that deal with local situations, discusses fringe benefits of this type of problem solving, and addresses teachers' concern that this method consumes too much time. (MBR)

The game of "Sprouts" is explained, then several theorems concerning the game are stated and proved. (DT)

Many students do not apply their real world intuitions and sense-making abilities when solving mathematics problems in school. In an effort to better understand how to help students draw upon these valued resources, we investigate the manner in which the solution to a particular problem activity is repeatedly re-interpreted by a student. This is…

This collection of problems provides a resource for teachers to use in the classroom to improve the problem-solving experiences of their students. This book provides middle school teachers with some perspectives on problem solving. A framework for organizing the problem- solving experience is presented. Each phase of the problem-solving experience…

The choice of teaching an effective method--one that most students can master--or an efficient method--one that takes the fewest steps--occurs daily in Algebra I classrooms. This decision may not be made in the abstract, however, but rather in a ready-to-hand mode. This study examines how teachers solve linear equations when the purpose is…

Previous research has shown that many secondary school students improperly apply linear models when solving non-linear problems involving lengths, area and volume of similar plane figures and solids. This phenomenon is called the "illusion of linearity". This paper presents a teaching experiment in which we developed and tested a learning…