Symbolizing, modeling, and tool use in mathematics education / edited by Koeno Gravemeijer ... [and others].

Format:

Book

Contributor:

Gravemeijer, K. (Koeno)

Series:

Mathematics education library ; v. 30.

Mathematics education library ; v. 30

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Physical Description:

iv, 306 pages : illustrations ; 25 cm.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic Publishers, [2002]

Contents:

Section I Emergent modeling

Introduction to section I: Informal representations and their improvements / Bert van Oers 25

The mathematization of young children's language / Bert van oers 29

Symbolizing space into being / Richard Lehrer, Carrie Pritchard 59

Mathematical representations as systems of notations-in-use / Luciano Meira 87

Students' Criteria for Representational Adequacy / Andrea A. diSessa 105

Transitions in emergent Modeling / Norma Presmeg 131

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 / Koeno Gravemeijer 141

Emergent models as an instructional design heuristic / Koeno Gravemeijer, Michelle Stephan 145

Modeling, Symbolizing, and Tool Use in Statistical Data Analysis / Paul Cobb 171

Didactic objects and didactic models in radical constructivism / Patrick W. Thompson 197

Taking into account different views: Three brief comments on papers by Gravemeijer & Stephan, Cobb and Thompson / Christoph Selter 221

Section III Models, situated practices, and generalization

Introduction to section III: Models, situated practices, and generalization / Lieven Verschaffel 231

On Guessing the Essential Thing / Ricardo Nemirovsky 233

Everyday knowledge and mathematical modeling of school word problems / Lieven Verschaffel, Brian Greer, Erik De Corte 257

On the development of human representional competence from and evolutionary point of view: From Episodic To Virtual Culture / James Kaput, David Shaffer 277

Modeling Reasoning / David Carraher, Analucia Schliemann 295.

Notes:

Includes bibliographical references and index.

ISBN:

140201032X

OCLC:

51095339