Learning Mathematics: Constructivist and Interactionist Theories of Mathematical Development

by Paul Cobb (Editor)

Overview

This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.

Product Details

ISBN-13:	9789048143979
Publisher:	Springer Netherlands
Publication date:	12/07/2010
Edition description:	Softcover reprint of hardcover 1st ed. 1994
Pages:	194
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Editorial. Cognitive Play and Mathematical Learning in Computer Microworlds; L.P. Steffe, H.G. Wiegel. Exponential Functions, Rates of Change, and the Multiplicative Unit; J. Confrey, E. Smith. Growth in Mathematical Understanding: How can we Characterise it and How can we Represent it? S. Pirie, T. Kieren. The Gains and the Pitfalls of Reification — the Case of Algebra; A. Sfard, L. Linchevski. Images of Rate and Operational Understanding of the Fundamental Theorem of Calculus; P.W. Thompson. Negotiation of Mathematical Meaning and Learning Mathematics; J. Voigt.