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The Development of multiplicative reasoning in the learning of mathematics / edited by Guershon Harel and Jere Confrey.

Contributor(s): Harel, Guershon, 1952- | Confrey, Jere.
Material type: TextTextSeries: SUNY series, reform in mathematics education: Publisher: Albany : State University of New York Press, c1994General Notes: Available through the EBSCO e-book Collection, which can be found on the Davenport University Library database page.Bibliography: Includes bibliographical references and indexes.Description: 1 online resource (xxviii, 407 p.) : ill.Content type: text Media type: computer Carrier type: online resourceISBN: 9780585044590 ; 9781438405803.Other title: Multiplicative reasoning in the learning of mathematics.Subject(s): Mathematics -- Study and teaching (Elementary) | Multiplication | DivisionGenre/Form: Electronic books DDC classification: 372.7/2044 Online resources: Access full-text materials at no charge.
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 ... [et al.] -- 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 ... [et al.] -- Summary -- Multiple views of multiplicative structures / Thomas Kieren.
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Available through the EBSCO e-book Collection, which can be found on the Davenport University Library database page.

Includes bibliographical references and indexes.

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 ... [et al.] -- 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 ... [et al.] -- Summary -- Multiple views of multiplicative structures / Thomas Kieren.

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