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|a UAMI
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|a The Development of multiplicative reasoning in the learning of mathematics /
|c edited by Guershon Harel and Jere Confrey.
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|a Multiplicative reasoning in the learning of mathematics
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|a Albany :
|b State University of New York Press,
|c ©1994.
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|a 1 online resource (xxviii, 407 pages) :
|b illustrations
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|a text
|b txt
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|a data file
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|a SUNY series, reform in mathematics education
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|a Includes bibliographical references and indexes.
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|a 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.
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|a Print version record.
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|a Annotation
|b The concept of multiplicativity in mathematics education is associated with situations that involve duplicating, shrinking, stressing, sharing equally, multiplying, dividing, and exponentiating. This volume 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. Paper edition (unseen), $24.95. Annotation copyright by Book News, Inc., Portland, OR.
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|a English.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Mathematics
|x Study and teaching (Elementary)
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650 |
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|a Multiplication.
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|a Division.
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|a Multiplication (Arithmétique)
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|a Division.
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|a EDUCATION
|x Teaching Methods & Materials
|x Mathematics.
|2 bisacsh
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|a Division.
|2 fast
|0 (OCoLC)fst00895791
|
650 |
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|a Mathematics
|x Study and teaching (Elementary)
|2 fast
|0 (OCoLC)fst01012272
|
650 |
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|a Multiplication.
|2 fast
|0 (OCoLC)fst01029054
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|a Harel, Guershon,
|d 1952-
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700 |
1 |
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|a Confrey, Jere.
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0 |
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|i Print version:
|t Development of multiplicative reasoning in the learning of mathematics.
|d Albany : State University of New York Press, ©1994
|z 0791417638
|w (DLC) 93019443
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|a SUNY series, reform in mathematics education.
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