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Contents
- 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