The design of problems is crucial for the effectiveness of problem-based learning (PBL). Research has shown that PBL problems have not always been effective. Ineffective PBL problems could affect whether students acquire sufficient domain knowledge, activate appropriate prior knowledge, and properly direct their own learning. This paper builds on…

Reviews the types of math problems grade 7 and grade 9 students attempted in class, at home, and on examinations collected during the 1999-2000 school year. Indicates that students were exposed to a variety of problem types, but the level of contextualization was low as was the level of open-endedness of the questions. (Author/KHR)

Develops a classification scheme for mathematical problem-solving activities. Presents problems generated in solid and plane geometry and fractions. (JM)

This handbook, developed by teachers in Manitoba, has been structured to provide teachers in grades 3 through 6 with a resource for teaching problem solving in mathematics. It consists of four sections. The first section establishes the background and states the purposes of the handbook. The second section provides a general overview of problem…

These sample problems, exercises, questions, and projects were compiled to supplement the guide for the Manitoba course Mathematics 301 in order to assist teachers in implementing the program. Arranged according to the modules of the course guide, they are coded to the objectives of the program. Review exercises follow either the subtopics within…

This curriculum support document, developed by a committee of teachers in Manitoba, contains information and practical applications dealing with key concepts of problem solving in mathematics for grades 7, 8, and 9. Contained in the handbook are: (1) an introduction that establishes the background and identifies the goal and objectives of the…

This publication provides background information, ideas, and sample activities to help teachers in their efforts to aid students in developing problem solving skills. It provides an overview of the stages in the problem solving model recommended in the elementary mathematics program of studies. Several clusters of problem solving strategies are…

This book combines suggestions for the teaching of problem solving with activities and carefully discussed non-routine problems which students should find interesting as they gain valuable experience in problem solving. The over 300 activities and problems have been gleaned from a variety of sources and have been classroom tested by practicing…

This project was based on recent interview research which suggested that in choosing operations for story problems in mathematics many students are guided by computational considerations rather than meanings for the operations. This project aimed to refine the catalogue of strategies used by students and to design and test instructional materials…