Symbolizing, modeling and tool use in mathematics education
Author(s)
Bibliographic Information
Symbolizing, modeling and tool use in mathematics education
（Mathematics education library, v. 30）
Kluwer Academic Publishers, c2002
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.
Table of Contents
- Introduction and overview
- K. Gravemeijer, et al. Preamble: from models to modelling
- K. Gravemeijer. Section I: Emergent Modeling. Introduction to Section I: Informal representations and their improvements
- B.van Oers. The mathematization of young childern's language
- B.van Oers. Symbolizing space into being
- R. Lehrer, C. Pritchard. Mathematical representations as systems of notations-in-use
- L. Meira. Student's criteria for representational adequacy
- A. diSessa. Transitions in emergent modeling
- N. Presmeg. Section II: The Role of Models, Symbols and Tools in Instructional Design. Introduction to Section II: the role of models, symbols and tools in instructional design
- K. Gravemeijer. Emergent models as an instructional design heuristic
- K. Gravemeijer, M. Stephan. Modeling, symbolizing, and tool use in statistical data analysis
- P. Cobb. Didactic objects and didactic models in radical constructivism
- P.W. Thompson. Taking into account different views: three brief comments on papers by Gravemeijer and Stephan, Cobb and Thompson
- C. Selter. Section III: Models, Situated Practices, and Generalization. Introduction to Section II: models, situated practices, and generalization
- L. Verschaffel. On guessing the essential thing
- R. Nemirovsky. Everyday knowledge and mathematical modeling of school word problems
- L. Verschaffel, et al. On the development of human representational competence from an evolutionary point of view: from episodic to virtual culture
- J. Kaput, D. Shaffer. Modeling reasoning
- D. Carraher, A. Schliemann. Index.
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