Symbolizing, Modeling and Tool Use in Mathematics Education
Published on 31. December 2002
Book
Hardback
IV, 308 pages
978-1-4020-1032-3 (ISBN)
Description
The almost universal rejection of the notion of symbols as `carriers of meaning' has created the need to find an alternative for the use of models as embodiments of mathematical concepts. By taking its point of departure as a concern for the way students actually use tools and symbols, and for what these signify for them, this book explores the option of building on symbolizing, modelling and tool use as personally meaningful activities of students. This theme is approached from different angles and different perspectives. One dimension is that 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. Another dimension is the theoretical framework of the researcher, varying from constructivism, to activity theory, cognitive-psychology and instructional-design theory. This book will appeal to a wide audience, varying from researchers, instructional designers, educators, and graduate students.
More details
Series
Edition
2003 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
IV, 308 p.
Dimensions
Height: 303 mm
Width: 215 mm
Thickness: 23 mm
Weight
1101 gr
ISBN-13
978-1-4020-1032-3 (9781402010323)
DOI
10.1007/978-94-017-3194-2
Schweitzer Classification
Other editions
Additional editions
K.P Gravemeijer | R. Lehrer | H.J. van Oers
Symbolizing, Modeling and Tool Use in Mathematics Education
Book
12/2010
Springer
€160.49
Shipment within 15-20 days
Content
and overview.- Preamble: from models to modeling.- Section I: Emergent modeling.- to section I: Informal representations and their improvements.- The mathematization of young children's language.- Symbolizing space into being.- Mathematical representations as systems of notations-in-use.- Students' Criteria for Representational Adequacy.- Transitions in emergent modeling.- Section II: The role of Models, Symbols and Tools in instructional design.- to section II: The role of Models, Symbols and Tools in instructional design.- Emergent models as an instructional design heuristic.- Modeling, Symbolizing, and Tool Use in Statistical Data Analysis.- Didactic objects and didactic models in radical constructivism.- Taking into account different views: Three brief comments on papers by Gravemeijer & Stephan, Cobb and Thompson.- Section III: Models, situated practices, and generalization.- to section III: Models, situated practices, and generalization.- On Guessing the Essential Thing.- Everyday knowledge and mathematical modeling of school word problems.- On the development of human representional competence from and evolutionary point of view: From Episodic To Virtual Culture.- Modeling Reasoning.