The Development of Multiplicative Reasoning in the Learning of Mathematics |
|
| Editor:
| Harel, Guershon
Confrey, Jere |
| Series title: | SUNY Series, Reform in Mathematics Education Ser. |
| ISBN: | 978-0-7914-1764-5 |
| Publication Date: | Jun 1994 |
| Publisher: | State University of New York Press
|
| Imprint: | Suny Press |
| Book Format: | Paperback |
| List Price: | USD $37.95 |
Book Description:
|
Two of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This book presents multiplicativity in...
More DescriptionTwo of the most important concepts children develop progressively throughout their mathematics education years are additivity and multiplicativity. Additivity is associated with situations that involve adding, joining, affixing, subtracting, separating and removing. Multiplicativity is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating.
This book presents multiplicativity in terms of a multiplicative conceptual field (MCF), not as individual concepts. It is presented in terms of interrelations and dependencies within, between, and among multiplicative concepts. The authors share the view that research on the mathematical, cognitive, and instructional aspects of multiplicative concepts must be situated in an MCF framework.