Teaching and Learning Mathematical Problem Solving

• Part A. Problem-Solving Research: Mathematics Education Perspectives. A Retrospective Account of the Past Twenty-five Years of Research on Teaching Mathematical Problem Solving; Learning to Add and Subtract: An Exercise in Problem Solving; Methodological Considerations in Research on Mathematical Problem-Solving Instruction; Mathematical Problem Solving: Lessons from the British Experience; Part B. Problem-Solving Research: Cross-Discipline Perspectives; Implications for Mathematics Instruction of Research on Scientific Problem Solving; Thinking Scientifically and Thinking Mathematically: A Discussion of the Paper by Heller and Hungate; Implications of Cognitive Psychology for Instruction in Mathematical Problem Solving; Cognitive Psychology and Mathematical Problem Solving: A Discussion of Mayer's Paper; Artificial Intelligence and the Learning of Mathematics: A Tutorial Sampling; Artificial Intelligence and Mathematics Education: A Discussion of Rissland's Paper; Experience, Problem Solving, and Learning Mathematics: Considerations in Developing Mathematics Curricula; Cognitive Theory and Curriculum Design: A Discussion of Thompson's Paper; Part C. Problem-Solving Research: Themes and Directions Research on Teaching Mathematical Problem Solving: Some Underrepresented Themes and Needed Directions; Affective Issues in Research on Teaching Mathematical Problem Solving; Teacher's Conceptions of Mathematics and the Teaching of Problem Solving; The Teacher and Classroom Instruction: Neglected Themes in Problem-Solving Research; Conceptual Analyses of Problem-Solving Performance; Individual Differences and Mathematical Problem Solving; Small Groups as a Setting for Research on Mathematical Problem Solving; Metacognitive and Epistemological Issues in Mathematical Understanding; Representation and Problem Solving: Methodological Issues Related to Modeling; Problem-Solving Derailers: The Influence of Misconceptions on Problem[1]Solving Performance; Computers in Research on Mathematical Problem Solving

"...a valuable resource for anyone interested in human mathematical performance."—Contemporary Psychology"...it is always a pleasure to find and read a well-planned, well-written, and well-organized book on the subject...it would be very helpful to anyone pursuing research in mathematical problem solving."—Mathematics Teacher