Description |
xxi, 526 pages : illustrations ; 24 cm |
Series |
Studies in mathematical thinking and learning |
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Studies in mathematical thinking and learning.
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Contents |
Skeptic's Guide to Algebra in the Early Grades -- Pt. I. The Nature of Early Algebra -- 1. What Is Algebra? What Is Algebraic Reasoning? / James J. Kaput -- 2. Algebra From a Symbolization Point of View / James J. Kaput, Maria L. Blanton and Luis Moreno -- 3. Making Use of Children's Powers to Produce Algebraic Thinking / John Mason -- 4. Quantitative Reasoning and the Development of Algebraic Reasoning / John P. (Jack) Smith III and Patrick W. Thompson -- 5. Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum / Erick Smith -- Pt. II. Students' Capacity for Algebraic Thinking -- 6. Classroom Stories: Examples of Elementary Students Engaged in Early Algebra / Virginia Bastable and Deborah Schifter -- 7. Children's Reasoning About Change Over Time / Cornelia Tierney and Stephen Monk -- 8. What Is a Legitimate Arithmetic Number Sentence? The Case of Kindergarten and First-Grade Children / Nitza Mark-Zigdon and Dina Tirosh -- 9. Visualizing Algebraic Reasoning / Timothy Boester and Richard Lehrer -- 10. Early Algebra Is Not the Same as Algebra Early / David W. Carraher, Analucia D. Schliemann and Judah L. Schwartz -- 11. Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem / Barbara M. Brizuela and Darrell Earnest -- 12. Signed Numbers and Algebraic Thinking / Irit Peled and David W. Carraher -- Pt. III. Issues of Implementation: Taking Early Algebra into the Classroom -- 13. Content Matters: Algebraic Reasoning in Teacher Professional Development / Megan Loef Franke, Thomas P. Carpenter and Dan Battey -- 14. Building District Capacity for Teacher Development in Algebraic Reasoning / Maria L. Blanton and James J. Kaput -- 15. Measure Up: A Quantitative View of Early Algebra / Barbara Dougherty -- 16. Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades? / Deborah Schifter, Stephen Monk, Susan Jo Russell and Virginia Bastable -- 17. Early Algebra: The Math Workshop Perspective / E. Paul Goldenberg and Nina Shteingold -- 18. Early Algebra as Mathematical Sense Making / Alan H. Schoenfeld |
Summary |
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” |
Bibliography |
Includes bibliographical references and indexes |
Subject |
Algebra -- Study and teaching (Elementary) -- United States.
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Algebra -- Study and teaching (Middle school)
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Algebra -- Study and teaching (Middle school) -- United States.
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Algebra -- Study and teaching (Primary)
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Algebra -- Study and teaching (Primary) -- United States.
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Algebra -- Study and teaching (Secondary)
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Algebra -- Study and teaching (Secondary) -- United States.
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Curriculum change -- United States.
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Curriculum change.
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Author |
Blanton, Maria L.
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Carraher, David William.
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Kaput, James J., 1942-
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LC no. |
2007029532 |
ISBN |
080585472X (hardback : alk. paper) |
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0805854738 (paperback) |
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1410616460 (e-book) |
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9780805854725 (hardback : alk. paper) |
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9780805854732 (paperback) |
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9781410616463 (ebook) |
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