Description |
xxviii, 407 pages : illustrations ; 24 cm. |
Series |
SUNY series, reform in mathematics education
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SUNY series, reform in mathematics education.
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Bibliography |
Includes bibliographical references and indexes. |
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. |
Subject |
Mathematics -- Study and teaching (Elementary)
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Mathematics -- Study and teaching (Elementary) |
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Multiplication.
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Multiplication. |
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Division.
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Division. |
Indexed Term |
Division |
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Mathematics Study and teaching (Elementary) |
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Multiplication |
Added Author |
Harel, Guershon, 1952-
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Confrey, Jere.
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Added Title |
Multiplicative reasoning in the learning of mathematics |
ISBN |
0791417646 (paperback : acid-free) |
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0791417638 (acid-free) |
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9780791417638 (acid-free) |
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9780791417645 (paperback : acid-free) |
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