Maria L. Blanton / David W. Carraher (eds.)

Algebra in the Early Grades

Herausgeber: Blanton, Maria L.; Kaput, James J.; Carraher, David W.

• Gebundenes Buch

Produktbeschreibung

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]." This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students' Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.

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Produktdetails

• Verlag: Routledge
• Seitenzahl: 552
• Erscheinungstermin: 8. Oktober 2007
• Englisch
• Abmessung: 235mm x 157mm x 37mm
• Gewicht: 1039g
• ISBN-13: 9780805854725
• ISBN-10: 080585472X
• Artikelnr.: 21021996

Autorenporträt

Kaput, James J.; Carraher, David W.; Blanton, Maria L.

Inhaltsangabe

Contents: Preface. Skeptic's Guide to Algebra in the Early Grades. Part I: The Nature of Early Algebra.J.J. Kaput
What Is Algebra? What Is Algebraic Reasoning? J.J. Kaput
M.L. Blanton
L.M. Armella
Algebra From a Symbolization Point of View. J. Mason
Making Use of Children's Powers to Produce Algebraic Thinking. J.P. Smith III
P.W. Thompson
Quantitative Reasoning and the Development of Algebraic Reasoning. E. Smith
Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum. Part II:Students' Capacity for Algebraic Thinking. V. Bastable
D
Schifter
Classroom Stories: Examples of Elementary Students Engaged in Early Algebra. C. Tierney
S. Monk
Children's Reasoning About Change Over Time. N. Mark-Zigdon
D. Tirosh
What Is a Legitimate Arithmetic Number Sentence? The Case of Kindergarten and First Grade Children. T. Boester
R. Lehrer
Visualizing Algebraic Reasoning. D.W. Carraher
A.D. Schliemann
J.L. Schwartz
Early Algebra Is Not the Same as Algebra Early. B.M. Brizuela
D. Earnest
Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problem. I. Peled
D.W. Carraher
Signed Numbers and Algebraic Thinking. Part III: Issues of Implementation: Taking Early Algebra to the Classrooms. M.L. Franke
T.P. Carpenter
D. Battey
Content Matters: The Case of Algebra Reasoning in Teacher Professional Development. M.L. Blanton
J.J. Kaput
Building District Capacity for Teacher Development in Algebraic Reasoning. B. Dougherty
Measure Up: A Quantitative View of Early Algebra. D. Schifter
S. Monk
S.J. Russell
V. Bastable
Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades? P. Goldenberg
N. Shteingold
Early Algebra: The MW Perspective. Afterword: A. Schoenfeld
Early Algebra as Mathematical Sense-Making.