Handbook of Mathematical Cognition

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share simi...

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Bibliographic Details
Main Author: Campbell, Jamie I. D.
Format: eBook Book
Language:English
Published: New York, NY Psychology Press 2005
Taylor and Francis
Taylor & Francis Group
Taylor & Francis
Edition:1
Subjects:
Cognitive Development
Learning
Mathematical ability
Mathematical Cognition
Mathematics
Mathematics > Study and teaching > Methodology
Methodology
Study and teaching
SNARC
Developmental Dyscalculia
memory
Math Disabilities
disability
Object File Representations
Size Congruity Effect
arithmetic
Numerical Comparison Task
Vice Versa
Arithmetic Problem Solving
facts
Arabic Digits
Working Memory Measures
number
Number Magnitude
problem
working
magnitudes
Number Comparison Task
Left Angular Gyrus
SNARC Effect
Problem Size Effect
Working Memory
Long Term Working Memory
Pe Rc
Arithmetical Fact Retrieval
Visual Spatial Working Memory
Large Numerical Distance
Arithmetic Facts
Math Anxiety
size
effect
Magnitude Representation
Triple Code Model
ISBN:9781138006065, 1841694118, 9781841694115, 1138006068
Online Access:Get full text
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Table of Contents:
  • Intro -- HANDBOOK OF MATHEMATICAL COGNITION -- Copyright -- Contents -- About the Editor -- Contributors -- Preface -- Acknowledgments -- Part 1: Cognitive Representations for Numbers and Mathematics -- 1 About Numerical Representations: Insights from Neuropsychological, Experimental, and Developmental Studies -- 2 Number Recognition in Different Formats -- 3 Spatial Representation of Numbers -- 4 Automaticity in Processing Ordinal Information -- 5 Computational Modeling of Numerical Cognition -- 6 What Animals Know about Numbers -- 7 The Cognitive Foundations of Mathematics: The Role of Conceptual Metaphor -- Part 2: Learning and Development of Numerical Skills -- 8 The Young Numerical Mind: When Does It Count? -- 9 Development of Arithmetic Skills and Knowledge in Preschool Children -- 10 Learning Mathematics in China and the United States: Cross-Cultural Insights into the Nature and Course of Preschool Mathematical Development -- 11 Magnitude Representation in Children: Its Development and Dysfunction -- 12 Development of Numerical Estimation: A Review -- 13 Understanding Ratio and Proportion as an Example of the Apprehending Zone and Conceptual-Phase Problem-Solving Models -- 14 Stereotypes and Math Performance -- Part 3: Learning and Performance Disabilities in Math and Number Processing -- 15 Learning Disabilities in Arithmetic and Mathematics: Theoretical and Empirical Perspectives -- 16 Math Performance in Girls with Turner or Fragile X Syndrome -- 17 Number Processing in Neurodevelopmental Disorders: Spina Bifida Myelomeningocele -- 18 Math Anxiety and Its Cognitive Consequences: A Tutorial Review -- Part 4: Calculation and Cognition -- 19 What Everyone Finds: The Problem-Size Effect -- 20 Architectures for Arithmetic -- 21 Mathematical Cognition and Working Memory
  • 22 Mathematical Problem Solving: The Roles of Exemplar, Schema, and Relational Representations -- 23 Aging and Mental Arithmetic -- 24 Calculation Abilities in Expert Calculators -- Part 5: Neuropsychology of Number Processing and Calculation -- 25 Three Parietal Circuits for Number Processing -- 26 Developmental Dyscalculia -- 27 Rehabilitation of Acquired Calculation and Number Processing Disorders -- Author Index -- Subject Index