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Mathematical problem solving /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando, Florida :
Academic Press,
1985.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Mathematical Problem Solving; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Introduction and Overview; Part One: Aspects of Mathematical Thinking: A Theoretical Overview; Chapter 1. A Framework for the Analysis of Mathematical Behavior; Overview; Typical Problems, Typical Behavior:The Four Categories Illustrated; Resources; Heuristics; Control; Belief Systems; Summary; Chapter 2. Resources; Routine Access to Relevant Knowledge; The Broad Spectrum of Resources; Flawed Resources and Consistent Error Patterns; Summary; Chapter 3. Heuristics
- Introduction and OverviewWhat a Problem Is and Who the Students Are; Toward More Precise and Usable Descriptionsof Heuristic Strategies; The Complexity of Implementing a ""Straightforward"" Heuristic Solution; Heuristics and Resources Deeply Intertwined; Summary; Chapter 4. Control; Introduction and Overview; On the Importance of Control: A Look at a Microcosm; Modeling a Control Strategy for Heuristic Problem Solving; Toward a Broader View of Control; Literature Related to Control; Summary; Chapter 5. Belief Systems; Selections from the Relevant Literature
- A Mathematician Works a Construction ProblemThe Student as Pure Empiricist: A Model of Empirical Behavior; How the Model Corresponds to Performance; A Deeper Look at Empiricism: CS and AM Work Problem 1.1; Further Evidence Regarding Naive Empiricism: DW and SP Work Four Related Problems; Summary; Part Two: Experimental and Observational Studies, Issues of Methodology, and Questions of Where We Go Next; Overview; Chapter 6. Explicit Heuristic Training as a Variable in Problem-Solving Performance; A Brief Discussion of Relevant Literature; Experimental Design; Results
- Two Methodological QuestionsDiscussion; Implications and Directions for Extension; Summary; Chapter 7. Measures of Problem-Solving Performance and Problem-Solving Instruction; A Brief Discussion of Relevant Work; The Experimental and Control Treatments; Measure 1 : A Plausible-Approach Analysis of Fully Solved Questions; Discussion of Testing Results; Measure 2: Students' Qualitative Assessments of Their Problem Solving; Measure 3: Heuristic Fluency and Transfer; A Brief Discussion of Control Issues; Summary; Chapter 8. Problem Perception, Knowledge Structure, and Problem-Solving Performance
- BackgroundMethod; Results of the Sortings; Discussion; Summary; Appendix: Problems Used in the Card Sort; Chapter 9. Verbal Data, Protocol Analysis,and the Issue of Control; Overview; Background, Part 1 : Verbal Methods; Through a Glass Darkly: A Close Look at Verbal Data; Background, Part 2: Other Protocol Coding Schemesand Issues of Control; The Major Issues for Analysis:A Brief Discussion of Two Protocols; A Framework for the Macroscopic Analysis ofProblem-Solving Protocols; Episodes and the Associated Questions; The Full Analysis of a Protocol