Algebra in the Early Grades

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Format: Hardcover
Pub. Date: 2007-10-08
Publisher(s): Routledge
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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]." The 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 Gradesaims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.

Table of Contents

Prefacep. ix
Acknowledgmentsp. xiii
About the Contributorsp. xv
Skeptic's Guide to Algebra in the Early Gradesp. xvii
The Nature of Early Algebrap. 1
What Is Algebra? What Is Algebraic Reasoning?p. 5
Algebra From a Symbolization Point of Viewp. 19
Making Use of Children's Powers to Produce Algebraic Thinkingp. 57
Quantitative Reasoning and the Development of Algebraic Reasoningp. 95
Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculump. 133
Students' Capacity for Algebraic Thinkingp. 161
Classroom Stories: Examples of Elementary Students Engaged in Early Algebrap. 165
Children's Reasoning About Change Over Timep. 185
What Is a Legitimate Arithmetic Number Sentence? The Case of Kindergarten and First-Grade Childrenp. 201
Visualizing Algebraic Reasoningp. 211
Early Algebra Is Not the Same as Algebra Earlyp. 235
Multiple Notational Systems and Algebraic Understandings: The Case of the "Best Deal" Problemp. 273
Signed Numbers and Algebraic Thinkingp. 303
Issues of Implementation: Taking Early Algebra into the Classroomp. 329
Content Matters: Algebraic Reasoning in Teacher Professional Developmentp. 333
Building District Capacity for Teacher Development in Algebraic Reasoningp. 361
Measure Up: A Quantitative View of Early Algebrap. 389
Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades?p. 413
Early Algebra: The Math Workshop Perspectivep. 449
Afterword
Early Algebra as Mathematical Sense Makingp. 479
Author Indexp. 511
Subject Indexp. 521
Table of Contents provided by Ingram. All Rights Reserved.

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