The Oxford Handbook of Numerical Cognition

doi:10.1093/oxfordhb/9780199642342.001.0001

The Oxford Handbook of Numerical Cognition

Edited by Roi Cohen Kadosh and Ann Dowker

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.

Keywords: numerical cognition, learning difficulties, acalculia, dyscalculia, mathematical development, mathematical education, numeracy, number sense, cognitive neuroscience of mathematics, cultural influences on arithmetic

Bibliographic Information

Publisher:: Oxford University Press

Print Publication Date:: Jul 2015

ISBN:: 9780199642342

Published online:: Mar 2014

DOI:: 10.1093/oxfordhb/9780199642342.001.0001

Editors

Roi Cohen Kadosh, editor
Roi Cohen Kadosh is Wellcome Research Career Development Fellow, Department of Experimental Psychology, University of Oxford.

Ann Dowker, editor
Ann Dowker, Department of Experimental Psychology, University of Oxford

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Front Matter
Part I Introduction
- Promoting Maths to the General PublicChris J. Budd
- Philosophy of NumberMarcus Giaquinto
Part II Human Cognition
- Cognitive Foundations of Human Number Representations and Mental ArithmeticOliver Lindemann and Martin H. Fischer
- Primitives and Non-primitives of Numerical RepresentationsJoseph Tzelgov, Dana Ganor-Stern, Arava Y. Kallai, and Michal Pinhas
- Finger-based representation of mental arithmeticMichael Andres and Mauro Pesenti
- Linking Numbers to Space: from the mental number line towards a hybrid accountJean-Philippe van Dijck, Véronique Ginsburg, Luisa Girelli,, and Wim Gevers
- Multi-digit Number Processing: overview, conceptual clarifications, and language influencesHans-Christoph Nuerk, Korbinian Moeller, and Klaus Willmes
- How Abstract is Arithmetic?Jamie I. D. Campbell
- Arithmetic Word Problem Solving and Mental RepresentationsCatherine Thevenot and Pierre Barrouillet
- Intuition in Mathematical and Probabilistic ReasoningKinga Morsanyi and Denes Szucs
Part III Phylogeny and Ontogeny of Mathematical and Numerical Understanding
- Phylogeny and Ontogeny of Mathematical and Numerical UnderstandingElizabeth M. Brannon and Joonkoo Park
- Numerical and Arithmetic Abilities in Non-primate SpeciesChristian Agrillo
- Monkey Mathematical AbilitiesMichael J. Beran, Bonnie M. Perdue, and Theodore A. Evans
- Numerical Abilities and Arithmetic in InfancyKoleen McCrink and Wesley Birdsall
- Spontaneous Focusing On Numerosity and its Relation to Counting and ArithmeticMinna M. Hannula-Sormunen
- How Counting Leads to Children’s First Representations of Exact, Large NumbersBarbara W. Sarnecka, Meghan C. Goldman, and Emily B. Slusser
- Approximate Arithmetic Abilities in ChildhoodCamilla Gilmore
- Number Representations and their Relation with Mathematical AbilityTitia Gebuis and Bert Reynvoet
- Numerical Cognition during Cognitive AgingKim Uittenhove and Patrick Lemaire
Part IV Culture and Language
- Culture, Language, and NumberGeoffrey B. Saxe
- Cognitive Linguistics and the Concept(s) of NumberRafael Núñez and Tyler Marghetis
- Figuring Out Children’s Number Representations: lessons from cross-cultural workJohn N. Towse, Kevin Muldoon, and Victoria Simms
- Mathematics Learning in the USA and JAPAN: influences of languageYukari Okamoto
- What is There to Learn from International Surveys of Mathematical Achievement?Linda Sturman
Part V Neuroscience of Mathematics
- From Single-Cell Neuropathology to Mathematics Education: navigator chapterRoi Cohen Kadosh
- Neuronal Correlates of Non-verbal Numerical Competence in PrimatesAndreas Nieder
- Development of the numerical brainLiane Kaufmann, Karin Kucian, and Michael von Aster
- Arithmetic in the Child and Adult BrainVinod Menon
- Numerical Symbols: an overview of their cognitive and neural underpinningsIan D. Holloway and Daniel Ansari
- A Theory of Magnitude: the parts that sum to numberVincent Walsh
- Basic Number Representation and Beyond: neuroimaging and computational modelingChantal Roggeman, Wim Fias, and Tom Verguts
- Mapping the Brain for Math: reversible inactivation by direct cortical electrostimulation and transcranial magnetic stimulationElena Salillas and Carlo Semenza
- Applications of Neuroscience to Mathematics EducationBert De Smedt and Roland H. Grabner
Part VI Numerical Impairments, Co-morbidity, and Rehabilitation
- When Number Processing and Calculation is Not Your Cup of TeaMarie-Pascale Noël
- Dyscalculia: from brain to educationBrian Butterworth, Sashank Varma, and Diana Laurillard
- Developmental Dyscalculia as a Heterogeneous DisabilityAvishai Henik, Orly Rubinsten, and Sarit Ashkenazi
- The Contributions of Syndrome Research to the Study of MLDMichèle M. M. Mazzocco
- Number Processing and Arithmetic in Children and Adults with Reading DifficultiesSilke M. Göbel
- Genetic Developmental Disorders and Numerical Competence across the LifespanJo Van Herwegen and Annette Karmiloff-Smith
- Brain Correlates of Numerical DisabilitiesKarin Kucian, Liane Kaufmann, and Michael von Aster
- Computer-assisted Interventions on Basic Number SkillsPekka Räsänen
- The Classification and Cognitive Characteristics of Mathematical Disabilities in ChildrenDavid C. Geary
- Numbers in the Dark: numerical cognition and blindnessJulie Castronovo
- The Neuropsychology of Acquired Number and Calculation DisordersMarinella Cappelletti
- Arithmetic Learning in Adults: evidence from brain imagingLaura Zamarian and Margarete Delazer
Part VII Individual Differences
- Individual Differences: Navigator ChapterChris Donlan
- Individual Differences in Arithmetical Abilities: The Componential Nature of ArithmeticAnn Dowker
- Individual Differences in Basic Arithmetical Processes in Children and AdultsJo-Anne LeFevre, Emma Wells, and Carla Sowinski
- Cognitive Predictors of Mathematical Abilities and DisabilitiesAnnemie Desoete
- Affect, Motivation, Working Memory, and MathematicsAlex M. Moore, Nathan O. Rudig, and Mark H. Ashcraft
- Individual Differences in Word Problem SolvingL. Verschaffel, F. Depaepe, and W. Van Dooren
- Individual Differences in Children’s Paths to Arithmetical DevelopmentJulie Ann Jordan, Judith Wylie, and Gerry Mulhern
- Behavioural Genomics of MathematicsMaria G. Tosto, Claire M. A. Haworth, and Yulia Kovas
Part VIII Education
- EducationRichard Cowan
- Using Learning Path Research to Balance Mathematics Education: teaching/learning for understanding and fluencyKaren C. Fuson, Aki Murata, and Dor Abrahamson
- New Possibilities for Early Mathematics Education: cognitive guidelines for designing high-quality software to promote young children’s meaningful mathematics learningHerbert P. Ginsburg, Rachael Labrecque, Kara Carpenter, and Dana Pagar
- Early Number Competencies and Mathematical Learning: individual variation, screening, and interventionNancy C. Jordan, Lynn S. Fuchs, and Nancy Dyson
- Numbers Count: a large-scale intervention for young children who struggle with mathematicsNick Dowrick
- Developing Conceptual and Procedural Knowledge of MathematicsBethany Rittle-Johnson and Michael Schneider
- How Informal Learning Activities Can Promote Children’s Numerical KnowledgeGeetha B. Ramani and Robert S. Siegler
End Matter
- Index

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date: 07 July 2020

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The Oxford Handbook of Numerical Cognition

Edited by Roi Cohen Kadosh and Ann Dowker

Abstract

Bibliographic Information

Editors

Contents