Presents an activity for students in grades 7-10 (with ready-to-copy worksheets and overhead projector transparency masters) designed to develop the problem-solving skills of making and reading an organized list and searching for a pattern, and to provide practice in using the general heuristics of the problem-solving process. (JN)

Reports, in French, an investigation on the use of graphic representations in problem-solving tasks of the type in Spanish Mathematical Olympiads. Analysis showed that the choice and interpretation of the first graphic representation played a decisive role in the discovery of the solution. (34 references) (Author/MKR)

An "ill-defined" informal performance task was constructed to evaluate secondary students' problem solving in mathematics. The task for 170 students in grades 9 and 10 was to evaluate other students' solutions to two mathematics questions. Higher-achieving students generally preferred responses reflecting multiple approaches to problem solving,…

Similarities between Enaction Theory of Thinking and the Enrichment Triad Model lend theoretical validity to the Triad Model as a method to facilitate gifted students' thinking or problem solving. The relationships between mental models and Type I Enrichment, operators and Type II Enrichment, and heuristics and Type III enrichment are illustrated.…

Offers heuristic arguments showing that a simple closed curve of specified length that encloses a maximum area must be a circle. Develops the problem by demonstrating that such an n-gon must be convex, that such a convex n-gon must be regular, and that such a simple closed curve must be a circle. (MDH)

Examines how problem solving in the domain of Mendelian genetics proceeds in situations where solvers' mental models are insufficient to solve problems at hand (model-revising problem solving). The study addressed the heuristics characteristic of successful model-revising problem solving and other aspects of student model use. (LZ)

Discusses the problem-solving heuristics of examining for special cases, utilizing dimensions to make sense of proposed solutions, and symmetry. Presents examples to illustrate the use of one or combinations of these heuristics. (MDH)

Focuses on the effects of the application of two problem-solving techniques--metacognitive and heuristic--on the achievement of students in the computation of creative mathematics problems. Results indicate that there was a significant difference in the achievement of experimental and control groups. Contains 24 references. (Author/ASK)

This study, conducted in the Netherlands, examined the effects of a problem-solving program on students' problem-solving and metacognitive skills. The program consisted of four parts involving one or more aspects of problem solving in the content areas of proportions, geometry, numbers, and solving equations and inequalities. The experimental…

Problem solving by example is an intermediate step toward mastering problem-solving heuristics. Discussed are problem-solving processes by using two problem examples. Emphasized are heuristics cataloging in a problem-solving log, and approaches to solutions, not the solutions themselves. (YP)

Presents an activity suitable for rainy days in which students solve a story problem to determine how fast a person should run in the rain to get the least wet. (MDH)

Discusses geometry and Dynamical Geometry Software (DGS). Analyses the way DGS-use influences traditional geometry. Highlights changes in the interactions between geometry, computers, and DGS and human users, focusing on changes in the teaching and learning of geometry. Concludes that DGS deeply changes geometry if it is taken as a human activity…

The article discusses the classic problem: "Given an equilateral triangle and a point P inside the triangle, what is the sum of the distances from P to the three sides?" The problem is used to illustrate the generative nature of problem-posing using the heuristic "What happens if...?" (PK)

Presents three problems that help students develop a repertoire of heuristics and persistence in problem solving: the water-jug problem; the missionaries-and-cannibals problem; and the census-taker problem. Discusses methods to encourage students to persist. (MDH)

This study investigated problem solving skills in mechanics problems that required the use of diagrams. These skills were examined in two ways. First, the study examined student problem solving skills using solution scripts from the Western Australian Tertiary Admission Examination in physics. Solution attempts by students in the 1978 and 1979…