The Art of Problem Posing

Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field. Special features include: * an exploration ofthe logical relationship between problem posing and problem solving * a special chapter devoted to teaching problem posing as a separate course * sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed * a special section on writing in mathematics

Stephen I. Brown, Marion I. Walter

Contents: Introduction. Two Problem Posing Perspectives: Accepting and Challenging. The First Phase of Problem Posing: Accepting. The Second Phase of Problem Posing: "What-If-Not." The "What-If-Not" Strategy in Action. Some Natural Links Between Problem Posing and Problem Solving. In the Classroom: Student as Author and Critic. Conclusion.