The Oxford Handbook of Numerical Cognition

by Cohen Kadosh, Roi; Dowker, Ann

• ISBN13: 9780191750878
• ISBN10: 0191750875
• Format: eBook
• Copyright: 2015-12-10
• Publisher: Oxford University Press

Author Biography

Roi Cohen Kadosh, Wellcome Trust RCD Fellow and University Research Lecturer, Department of Experimental Psychology, University of Oxford, UK,Ann Dowker, University Research Lecturer, Department of Experimental Psychology, University of Oxford, UK

Roi Cohen Kadosh is a Wellcome RCD Fellow at the University of Oxford. His work combines basic and applied science, with focus on high level cognitive abilities and cognitive enhancement. At the theoretical level, his work challenges and revises previous theories in mathematical cognition with implications to psychology, neuroscience and education. At the translational level his work is in the forefront in integrating brain stimulation with enhancement of high-level and complex cognitive functions, such as mathematical abilities. His work does not only focus on research but also discusses the ethical implications of his research. He is actively involved in policy making. His pioneering work has received prestigious awards in the fields of neuroscience and psychology, and coverage by leading media channels (e.g., BBC, CNN, Science Magazine, Nature, Scientific American, Time Magazine).

Ann Dowker is a University Research Lecturer at the Department of Experimental Psychology, University of Oxford, UK. She has carried out extensive research on developmental psychology and individual differences, especially with regard to mathematical learning. Her interests include the effects of culture and language on mathematics; mathematics anxiety; links between neuroscience and education; and the development of intervention programs for children with mathematical difficulties. She is the lead researcher on the Catch Up Numeracy Intervention project.

Table of Contents

Section I: Introduction
1. Promoting maths to the general public, Chris J. Budd
2. Philosophy of math, Marcus Giaquinto
Section II: human cognition
3. Cognitive Foundations of Human Number Representations and Mental Arithmetic, Oliver Lindemann and Martin H. Fischer
4. Primitives and non-primitives of numerical representations, Joseph Tzelgov, Dana Ganor-Stern, Arava Kallai, and Michal Pinhas
5. Finger-based representation of mental arithmetic, Michael Andres and Mauro Pesenti
6. Linking Numbers to Space: From the Mental Number Line towards a Hybrid Account, Jean-Philippe van Dijck, Veronique Ginsburg, Luisa Girelli and Wim Gevers
7. Multi-digit Number Processing: Overview, Conceptual Clarifications, and Language Influences, Hans-Christoph Nuerk, H.-C., Moeller, and Klaus Willmes
8. How Abstract is Arithmetic?, Jamie I.D. Cambell
9. Arithmetic Word Problem Solving and Mental Representations, Catherine Thevenot and Pierre Barrouillet
10. Intuition in mathematical and probabilistic reasoning, Kinga Morsanyi and Denes Szucs
Section III: Phylogeny and Ontogeny of Mathematical and Numerical understanding
11. Phylogeny and Ontogeny of Mathematical and Numerical Understanding, Elizabeth M. Brannon and Joonkoo Park
12. Numerical and Arithmetic abilities in non-primate species, Christian Agrillo
13. Monkey Mathematical Abilities, Michael J. Beran, Bonnie M. Perdue, and Theodore A. Evans
14. Numerical Abilities and Arithmetic in Infancy, Koleen McCrink and Wesley Birdsall
15. Spontaneous focusing on numerosity and its relation to counting and arithmetic, Minna M. Hannula-Sormunen
16. How Counting Leads to Children's First Representations of Exact, Large Numbers, Barbara W. Sarnecka, Meghan C. Goldman, Emily B. Slusser
17. Approximate arithmetic abilities in childhood, Camilla Gilmore
18. Numerosity and mathematical development, Titia Gebuis and Bert Reynvoet
19. Numerical Cognition during Cognitive Aging, Kim Uittenhove and Patrick Lemaire
Section IV: Culture and Language
20. Culture, Language, and Number, Geoffrey B. Saxe
21. Cross-cultural differences in numerical competence, John N. Towse, Kevin Muldoon, Victoria Simms
22. Mathematics learning in the USA and Japan: influences of language, Yukari Okamoto
23. What international comparisons such as TIMSS have shown about national differences in mathematics, and how these might be explained, Linda Sturman
Section V: Neuroscience of Mathematics
24. Neuroscience, Roi Cohen Kadosh
25. Single-cell neurophysiology in monkeys, Andreas Nieder
26. The development of the numerical brain, Liane Kaufmann, Karin Kucian, and Michael von Aster
27. Arithmetic in the child and adult brain, Vinod Menon
28. Numerical Symbols: An Overview of Their Cognitive and Neural Underpinnings, Ian D. Holloway and Daniel Ansari
29. A theory of magnitude (ATOM) re-evaluated, Vincent Walsh
30. Basic number representations: From computational modelling to neuroimaging, Tom Verguts
31. Mapping the Brain for Math: Reversible Inactivation by Direct Cortical Electrostimulation and Transcranial Magnetic Stimulation, Elena Salillas and Carlo Semenza
32. Applications of Neuroscience to Mathematics Education, 1. Bert De Smedt and Roland H. Grabner
Section VI: Numerical Impairments, co-morbidity, and rehabilitation
33. When Number Processing and Calculation Is Not Your Cup of Tea, Marie-Pascale Noel
34. Dyscalculia: From Brain to Education, Brian Butterworth, Sashank Varma, and Diana Laurillard
35. Developmental Dyscalculia as a heterogeneous disability, Avishai Henik, Orly Rubinsten, and Sarit Ashkenazi
36. Number Processing and Arithmetic in Children and Adults with Reading Difficulties, Silke M. Gobel
37. Genetic developmental disorders and numerical competence across the lifespan, Jo Van Herwegen and Annette Karmiloff-Smith
38. Brain Correlates of Numerical Disabilities, Karin Kucian, Liane Kaufmann, and Michael von Aster
39. Computer-assisted Interventions on Basic Number Skills, Pekka Rasanen
40. The Classification and Cognitive Characteristics of Mathematical Disabilities in Children, David C. Geary
41. Numbers in the Dark: Numerical cognition and blindness, Julie Castronovo
42. The Neuropsychology of Acquired Number and Calculation Disorders, Marinella Cappelletti
43. Arithmetic Learning in Adults - Evidence from Brain Imaging, L. Zamarian and Margarete Delazer
Section VII: Individual Differences
44. Individual Differences, Chris Donlan
45. Individual Differences in Arithmetical Abilities: The Componential Nature of Arithmetic, Ann Dowker
46. Individual Differences in Basic Arithmetical Processes in Children and Adults, Jo-Anne LeFevre, Emma Wells, and Carla Sowinski
47. Cognitive predictors of mathematical abilities and disabilities, Annemie Desoete
48. Affect, Motivation, Working Memory, and Mathematics, Alex M. Moore, Nathan O. Rudig, and Mark H. Ashcraft
49. Individual differences in word problem solving, L. Verschaffel, F. Depaepe, and W. Van Dooren
50. Individual Differences in Children's Paths to Arithmetical Development, Julie Ann Jordan
51. Behavioural Genomics of Mathematics, Maria G. Tosto, Claire M. A. Haworth, and Yulia Kovas
Section VIII: Education
52. Education, Richard Cowan
53. Using Learning Path Research to Balance Mathematics Education: Teaching/Learning for Understanding and Fluency, Karen C. Fuson, Aki Murata, and Dor Abrahamson
54. New Possibilities for Early Mathematics Education: Cognitive Guidelines for Designing High-Quality Software to Promote Young Children's Meaningful Mathematics Learning, Herbert P. Ginsburg, Rachael Labrecque, Kara Carpenter, and Dana Pagar
55. Early Number Competencies and Mathematical Learning: Individual Variation, Screening, and Intervention, Nancy C. Jordan, Lynn S. Fuchs, Nancy Dyson
56. Every Child Counts: effects of intervention for children struggling with mathematics, Nick Dowrick
57. Developing Conceptual and Procedural Knowledge of Mathematics: An Updated Review, Bethany Rittle-Johnson and Michael Schneider
58. What experiences can improve mathematical performance?, Geetha B. Ramani, Robert S. Siegler