Description
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
Table of Contents
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
