The Development of Arithmetic Concepts and Skills Constructive Adaptive Expertise 1st Edition by Arthur Baroody, Ann Dowker ISBN 978-0805831566 0805831568
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Product details:
ISBN 10: 0805831568
ISBN 13: 978-0805831566
Author: Arthur J. Baroody, Ann Dowker
This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education:
What is the nature of arithmetic expertise?
How can instruction best promote it?
Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues.
As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including “normally” and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed “adaptive expertise” (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups.
This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).
Table of contents:
Chapter 1
The Development of Adaptive Expertise and Flexibility: The Integration of Conceptual and Procedural Knowledge Arthur J. Baroody.
Chapter 2
Does It All Add Up? Changes in Children’s Knowledge of Addition Combinations, Strategies, and Principles
Richard Cowan
Chapter 3
Two Perspectives on Addition Development Arthur J. Baroody and Sirpa H. Tiilikainen
…..
Chapter 4
The Development of Children’s Understanding of Additive Commutativity: From Protoquantitative Concept to General Concept? Arthur J. Baroody, Jesse L. M. Wilkins, and Sirpa Tiilikainen..
Chapter 5
“You’ve Got to Carefully Read the Math Sentence…”: Classroom Context and Children’s Interpretations of the Equals Sign
Kyoung-Hye Seo and Herbert P. Ginsburg
Chapter 6
Basic Multiplication Combinations: Passive Storage or Dynamic Reorganization? Brian Butterworth, Noemi Marschesini, and Luisa Girelli…
Chapter 7
Young Adults’ Strategic Choices in Simple Arithmetic: Implications for the Develop-ment of Mathematical Representations Jo-Anne LeFevre, Brenda L. Smith-Chant, Karen Hiscock, Karen E. Daley, and Jason Morris….
Chapter 8
Language Supports for Mathematics Understanding and Performance
Irene T. Miura and Yukari Okamoto.
Chapter 9
Young Children’s Estimates for Addition: The Zone of Partial Knowledge and Understanding
Ann Dowker.
Chapter 10
Multidigit Addition and Subtraction Methods Invented in Small Groups and Teacher Support of Problem Solving and Reflection
Karen C. Fuson and Birch H. Burghardt..
Chapter 11
Children’s Invention of Multidigit Multiplication and Division Algorithms
Rebecca Ambrose, Jae-Meen Baek, and Thomas P. Carpenter.
Chapter 12
The Early Numeracy of Children With Specific Language Impairments
Chris Donlan..
Chapter 13
Mathematical Thinking and Learning Difficulties
Nancy Jordan, Laurie B. Hanich, and Heather Z. Uberti.
Chapter 14
Neuropsychological Findings on Conceptual Knowledge of Arithmetic
Margarete Delazer…
Chapter 15
Arithmetical Savants
Lisa Heavey
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Tags: Arthur Baroody, Ann Dowker, The Development, Arithmetic Concepts, Skills Constructive