Mathematical narratives, modeling, and algebra.


Book: 
Approaches to algebra: Perspectives for research and teaching
Authors: 
Nemirovsky, R.
Editors: 
Bednarz, N., Kiernan, C. & Lee, L.
Type: 
Category: 
Volume: 
18
Pages: 
364
Year: 
1996
Publisher: 
Kluwer Academic Pulishers, Dordrecht, The Netherlands
Abstract: 

This book aims at understanding the functioning of algebraic reasoning, its characteristics, the difficulties students encounter in making the transition to algebra, and the situations conducive to its favorable development. Four different perspectives, each related to a corresponding conception of algebra, provide avenues for its introduction: generalization, problem solving, modeling, and functions. The analysis of research on these perspectives is illuminated by a dual focus on epistemological (via the history of the development of algebra) and didactic concerns. Series: Mathematics Education Library, Vol. 18

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