Hypothetical Learning Trajectories : A Special Issue of Mathematical Thinking and Learning

by Clements, Douglas H.; Sarama, Julie

• ISBN13: 9780805895445
• ISBN10: 0805895442
• Format: Paperback
• Copyright: 2004-04-30
• Publisher: Lawrence Erlbau

Summary

The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Table of Contents

Learning Trajectories in Mathematics Education	81	(10)
Douglas H. Clements
Julie Sarama
Explicating the Role of Mathematical Tasks in Conceptual Learning: An Elaboration of the Hypothetical Learning Trajectory	91	(14)
Martin A. Simon
Ron Tzur
Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education	105	(24)
Koeno Gravemeijer
On the Construction of Learning Trajectories of Children: The Case of Commensurate Fractions	129	(34)
Leslie P. Steffe
Young Children's Composition of Geometric Figures: A Learning Trajectory	163	(22)
Douglas H. Clements
David C. Wilson
Julie Sarama
Applying Cognition-Based Assessment to Elementary School Students' Development of Understanding of Area and Volume Measurement	185	(20)
Michael T. Battista
Evolving Communities of Mind---In Which Development Involves Several Interacting and Simultaneously Developing Strands	205	(22)
Richard Lesh
Caroline Yoon
Comments on the Use of Learning Trajectories in Curriculum Development and Research	227
Arthur J. Baroody
Michael Cibulskis
Meng-lung Lai
Xai Li