The Development of multiplicative reasoning in the learning of mathematics /
| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Albany :
State University of New York Press,
©1994.
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| Series: | SUNY series, reform in mathematics education
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| Subjects: | |
| Online Access: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=6004 |
Table of Contents:
- Theoretical approaches
- Children's multiplying schemes / Leslie Steffe
- Multiplicative conceptual field : what and why? / Gerard Vergnaud
- Extending the meaning of multiplication and division / Brian Greer
- The role of the unit
- Ratio and proportion : cognitive foundations in unitizing and norming / Susan Lamon
- Units of quantity : a conceptual basis common to additive and multiplicative structures / Merlyn Behr [and others]
- Ratio and rate
- The development of the concept of speed and its relationship to concepts of rate / Patrick Thompson
- Missing-value proportional reasoning problems, factors affecting informal reasoning patterns / James Kaput and Mary Maxwell West
- Multiplicative worlds
- Splitting, similarity, and rate of change : a new approach to multiplication and exponential functions / Jere Confrey
- Multiplicative structures and the development of logarithms : what was lost by the invention of function? / Erick Smith and Jere Confrey
- Intuitive models
- The impact of the number type on the solution of multiplication and division problems : further investigations / Guershon Harel [and others]
- Summary
- Multiple views of multiplicative structures / Thomas Kieren.