Development of Arithmetic Concepts and Skills

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adaptive
Adaptive Expertise
addend
Addend Order
Additive Composition
arithmetic learning difficulties
Asian Language Speakers
Backup Strategies
basic
Basic Number Combinations
Category=JNT
Category=JNU
Category=PB
combinations
conceptual
Conceptual Knowledge
developmental psychology
Direct Retrieval
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eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_society-politics
expertise
flexible problem solving in mathematics
Goal Sketch
High Skill Participants
knowledge
larger
Larger Addend
mathematical cognition
mathematics instruction research
Multidigit Addition
Multidigit Multiplication
Multidigit Numbers
Multiplicative Commutativity
neuropsychological assessment
number
Number Combinations
Operand Order
order
Partitive Division Problems
Problem Size Effect
Procedural Knowledge
SLI Group
Small Addend
special education strategies
Standard Algorithms
Tens Column
Vice Versa

Product details

  • ISBN 9780805831559
  • Weight: 1110g
  • Dimensions: 156 x 234mm
  • Publication Date: 01 Jan 2003
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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).

Arthur J. Baroody (Edited by) ,  Ann Dowker (Edited by)