The Oxford Handbook of Numerical Cognition
The Oxford Handbook of Numerical Cognition
School of Psychology, University of Surrey
Ann Dowker, Department of Experimental Psychology, University of Oxford
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Abstract
This book provides a comprehensive overview of numerical cognition by bringing together writing by leading researchers in psychology, neuroscience, and education, covering work using different methodological approaches in humans and animals. During the last decade there had been an explosion of studies and new findings with theoretical and translational implications. This progress has been made thanks to technological advances enabling sophisticated human neuroimaging techniques and neurophysiological studies of monkeys, and to advances in more traditional psychological and educational research. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This book aims to provide a broad and extensive review of the field of numerical cognition, bringing together work from varied areas. The book covers research on important aspects of numerical cognition, involving findings from the areas of developmental psychology, cognitive psychology, human and animal neuroscience, computational modeling, neuropsychology and rehabilitation, learning disabilities education and individual differences, cross-cultural and cross-linguistic studies, and philosophy. It also includes an overview 'navigator' chapter for each section to provide a brief up-to-date review of the current literature, and to introduce and integrate the topics of the chapters in the section.
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Front Matter
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Part I Introduction
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Part II Human Cognition
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3
Cognitive Foundations of Human Number Representations and Mental Arithmetic
Oliver Lindemann andMartin H. Fischer
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4
Primitives and Non-primitives of Numerical Representations
Joseph Tzelgov and others
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5
Finger-based representation of mental arithmetic
Michael Andres andMauro Pesenti
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6
Linking Numbers to Space: from the mental number line towards a hybrid account
Jean-Philippe van Dijck and others
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7
Multi-digit Number Processing: overview, conceptual clarifications, and language influences
Hans-Christoph Nuerk and others
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8
How Abstract is Arithmetic?
Jamie I.D. Campbell
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9
Arithmetic Word Problem Solving and Mental Representations
Catherine Thevenot andPierre Barrouillet
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10
Intuition in Mathematical and Probabilistic Reasoning
Kinga Morsanyi andDenes Szucs
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3
Cognitive Foundations of Human Number Representations and Mental Arithmetic
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Part III Phylogeny and Ontogeny of Mathematical and Numerical Understanding
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11
Phylogeny and Ontogeny of Mathematical and Numerical Understanding
Elizabeth M. Brannon andJoonkoo Park
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12
Numerical and Arithmetic Abilities in Non-primate Species
Christian Agrillo
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13
Monkey Mathematical Abilities
Michael J. Beran and others
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14
Numerical Abilities and Arithmetic in Infancy
Koleen McCrink andWesley Birdsall
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15
Spontaneous Focusing On Numerosity and its Relation to Counting and Arithmetic
Minna M. Hannula-Sormunen
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16
How Counting Leads to Children’s First Representations of Exact, Large Numbers
Barbara W. Sarnecka and others
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17
Approximate Arithmetic Abilities in Childhood
Camilla Gilmore
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18
Number Representations and their Relation with Mathematical Ability
Titia Gebuis andBert Reynvoet
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19
Numerical Cognition during Cognitive Aging
Kim Uittenhove andPatrick Lemaire
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11
Phylogeny and Ontogeny of Mathematical and Numerical Understanding
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Part IV Culture and Language
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20
Culture, Language, and Number
Geoffrey B. Saxe
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21
Cognitive Linguistics and the Concept(s) of Number
Rafael Núñez andTyler Marghetis
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22
Figuring Out Children’s Number Representations: lessons from cross-cultural work
John N. Towse and others
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23
Mathematics Learning in the USA and JAPAN: influences of language
Yukari Okamoto
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24
What is There to Learn from International Surveys of Mathematical Achievement?
Linda Sturman
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20
Culture, Language, and Number
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Part V Neuroscience of Mathematics
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25
From Single-Cell Neuropathology to Mathematics Education: navigator chapter
Roi Cohen Kadosh
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26
Neuronal Correlates of Non-verbal Numerical Competence in Primates
Andreas Nieder
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27
Development of the numerical brain
Liane Kaufmann and others
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28
Arithmetic in the Child and Adult Brain
Vinod Menon
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29
Numerical Symbols: an overview of their cognitive and neural underpinnings
Ian D. Holloway andDaniel Ansari
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30
A Theory of Magnitude: the parts that sum to number
Vincent Walsh
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31
Basic Number Representation and Beyond: neuroimaging and computational modeling
Chantal Roggeman and others
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32
Mapping the Brain for Math: reversible inactivation by direct cortical electrostimulation and transcranial magnetic stimulation
Elena Salillas andCarlo Semenza
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33
Applications of Neuroscience to Mathematics Education
Bert De Smedt andRoland H. Grabner
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25
From Single-Cell Neuropathology to Mathematics Education: navigator chapter
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Part VI Numerical Impairments, Co-morbidity, and Rehabilitation
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34
When Number Processing and Calculation is Not Your Cup of Tea
Marie-Pascale Noël
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35
Dyscalculia: from brain to education
Brian Butterworth and others
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36
Developmental Dyscalculia as a Heterogeneous Disability
Avishai Henik and others
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37
The Contributions of Syndrome Research to the Study of MLD
Michèle M. M. Mazzocco
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38
Number Processing and Arithmetic in Children and Adults with Reading Difficulties
Silke M. Göbel
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39
Genetic Developmental Disorders and Numerical Competence across the Lifespan
Jo Van Herwegen andAnnette Karmiloff-Smith
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40
Brain Correlates of Numerical Disabilities
Karin Kucian and others
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41
Computer-assisted Interventions on Basic Number Skills
Pekka Räsänen
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42
The Classification and Cognitive Characteristics of Mathematical Disabilities in Children
David Geary
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43
Numbers in the Dark: numerical cognition and blindness
Julie Castronovo
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44
The Neuropsychology of Acquired Number and Calculation Disorders
Marinella Cappelletti
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45
Arithmetic Learning in Adults: evidence from brain imaging
L. Zamarian andMargarete Delazer
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34
When Number Processing and Calculation is Not Your Cup of Tea
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Part VII Individual Differences
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46
Individual Differences: Navigator Chapter
Chris Donlan
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47
Individual Differences in Arithmetical Abilities: The Componential Nature of Arithmetic
Ann Dowker
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48
Individual Differences in Basic Arithmetical Processes in Children and Adults
Jo-Anne LeFevre and others
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49
Cognitive Predictors of Mathematical Abilities and Disabilities
Annemie Desoete
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50
Affect, Motivation, Working Memory, and Mathematics
Alex M. Moore and others
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51
Individual Differences in Word Problem Solving
Lieven Verschaffel and others
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52
Individual Differences in Children’s Paths to Arithmetical Development
Julie-Ann Jordan and others
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53
Behavioural Genomics of Mathematics
Maria G. Tosto and others
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46
Individual Differences: Navigator Chapter
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Part VIII Education
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54
Education
Richard Cowan
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55
Using Learning Path Research to Balance Mathematics Education: teaching/learning for understanding and fluency
Karen C. Fuson and others
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56
New Possibilities for Early Mathematics Education: cognitive guidelines for designing high-quality software to promote young children’s meaningful mathematics learning
Herbert P. Ginsburg and others
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57
Early Number Competencies and Mathematical Learning: individual variation, screening, and intervention
Nancy C. Jordan and others
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58
Numbers Count: a large-scale intervention for young children who struggle with mathematics
Nick Dowrick
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59
Developing Conceptual and Procedural Knowledge of Mathematics
Bethany Rittle-Johnson andMichael Schneider
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60
How Informal Learning Activities Can Promote Children’s Numerical Knowledge
Geetha B. Ramani andRobert S. Siegler
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54
Education
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End Matter
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April 2025 | 18 |
April 2025 | 2 |
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April 2025 | 6 |
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April 2025 | 1 |
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April 2025 | 5 |
April 2025 | 1 |
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April 2025 | 1 |
April 2025 | 1 |
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May 2025 | 1 |
Get help with access
Institutional access
Access to content on Oxford Academic is often provided through institutional subscriptions and purchases. If you are a member of an institution with an active account, you may be able to access content in one of the following ways:
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Personal account
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Some societies use Oxford Academic personal accounts to provide access to their members.
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Institutional account management
For librarians and administrators, your personal account also provides access to institutional account management. Here you will find options to view and activate subscriptions, manage institutional settings and access options, access usage statistics, and more.