Continuous Issues in Numerical Cognition: How Many or How Much

ISBN-13: 9780128016374 / Angielski / Twarda / 2016 / 456 str.

Avishai Henik

Opis

Continuous Issues in Numerical Cognition: How Many or How Much re-examines the widely accepted view that there exists a core numerical system within human beings and an innate ability to perceive and count discrete quantities. This core knowledge involves the brain's intraparietal sulcus, and a deficiency in this region has traditionally been thought to be the basis for arithmetic disability. However, new research findings suggest this wide agreement needs to be examined carefully and that perception of sizes and other non-countable amounts may be the true precursors of numerical ability. This cutting-edge book examines the possibility that perception and evaluation of non-countable dimensions may be involved in the development of numerical cognition. Discussions of the above and related issues are important for the achievement of a comprehensive understanding of numerical cognition, its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills.

• Serves as an innovative reference on the emerging field of numerical cognition and the branches that converge on this diverse topic
• Features chapters from leading researchers in the field
• Includes an overview of the multiple disciplines that comprise numerical cognition and discusses the measures that can be used in analysis
• Introduces novel ideas that connect non-countable continuous variables to numerical cognition

Spis treści

SECTION I. DEVELOPMENT 1. Development of quantitative thinking across correlated dimensions   Kelly S. Mix, Susan C. Levine and Nora S. Newcombe 2. Link between numbers and spatial extent from birth to adulthood   Maria Dolores de Hevia 3. Catching math problems early: Findings from the number sense intervention project   Nancy C. Jordan and Nancy Dyson 4. Contextual sensitivity and the large number word bias: When is bigger really more?   Michèle M. Mazzocco, Jenny Yun-Chen Chan and Maria Sera 5. Learning, ageing, and the number brain   Marinella Cappelletti 6. The development of counting ability - An evolutionary computation point of view   Gali Katz, Amit Benbassat and Moshe Sipper

SECTION II. ANIMAL STUDIES 7. Number vs. continuous quantities in lower vertebrates   Christian Agrillo, Maria Elena Miletto Petrazzini and Angelo Bisazza 8. Going for more: Discrete and continuous quantity judgments by nonhuman animals   Michael J. Beran and Audrey E. Parrish

SECTION III. PROCESSES AND MECHANISMS 9. Number sense: What's in a name and why should we bother?   Bert Reynvoet, Karolien Smets and Delphine Sasanguie 10. The distribution game: evidence for discrete numerosity coding in preschool children   Alain Content and Julie Nys 11. Magnitudes in the coding of visual multitudes: Evidence from adaptation   Frank H. Durgin 12. The ordinal instinct: A neurocognitive perspective and methodological issues   Orly Rubinstein 13. Discrete and continuous presentation of quantities in science and mathematics education   Ruth Stavy and Reuven Babai 14. The interaction of numerical and non-numerical parameters in magnitude comparison tasks with children and their relation to arithmetic performance   Swiya Nath and Denes Szucs

SECTION IV. MODELS 15. Symbolic and nonsymbolic representation of number in the human parietal cortex   Moriah Sokolowski and Daniel Ansari 16. What do we measure when we measure magnitudes?   Tali Leibovich, Arava Y. Kallai and Shai Itamar 17. How do humans represent numerical and non-numerical magnitudes? Evidence for an integrated system of magnitude representation across development   Stella F. Lourenco 18. The sensory integration theory: An alternative to the approximate number system   Wim Gevers, Roi Cohen Kadosh and Titia Gebuis

O autorze

Dr. Avishai Henik is a Professor of Psychology at Ben-Gurion University of the Negev. He holds a consulting editorial position with several journals (e.g., Psychonomic Bulletin and Review, Journal of Experimental Psychology: General) and serves regularly as an ad-hoc reviewer for various journals in the field and for granting agencies. Dr. Henik has over 300 publications of which most are in peer-reviewed journals. He has edited or co-edited three books in the area of numerical cognition. A leader in the field, he was awarded a prestigious European Research Council (ERC) Advanced Researcher grant to continue his cutting-edge research on the contribution of non-countable dimensions to the development and understanding of numerical cognition.