Is finger-counting necessary for the development of arithmetic abilities?

Frontiers in Psychology

Volumn 2, Issue SEP, 2011, Pages

  Crollen, Virginie ^a   Seron, Xavier ^a   Noël, Marie Pascale ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867066974     PISSN: None     EISSN: 16641078     Source Type: Journal    
DOI: 10.3389/fpsyg.2011.00242     Document Type: Article

References (27)

1. Alibali, M. W., and DiRusso, A. A. (1999). The function of gesture in learning to count: more than keeping track. Cogn. Dev. 14, 37-56.
2. Andres, M., Di Luca, S., and Pesenti, M. (2008). Fingercounting: the missing tool? Behav. Brain Sci. 31, 642-643.
3. Baroody, A. J. (1987). Children's Mathematical Thinking: A Developmental Framework for Preschool, Primary, and Special Education Teachers. New York: Teacher's College.
4. Beller, S., and Bender, A. (2011). Explicating numerical information: When and how fingers support (or hinder) number comprehension and handling. Front. Psychology. doi: 10.3389/fpsyg.2011.00214
5. Butterworth, B. (1999a). The Mathematical Brain. London: Macmillan.
6. Butterworth, B. (1999b). A head for figures. Science 284, 928-929.
7. Butterworth, B. (2005). The development of arithmetical abilities. J. Child Psychol. Psychiatry 46, 3-18.
8. Crollen, V., Mahe, R., Collignon, O., and Seron, X. (2011). The role of vision in the development of fingernumber interactions: finger-counting and fingermontring in blind children. J. Exp. Child. Psychol. 109, 525-539.
9. Domahs, F., Krinzinger, H., and Willmes, K. (2008). Mind the gap between both hands: evidence for internal finger-based number representations in children's mental calculation. Cortex 44, 359-367.
10. Domahs, F., Moeller, K., Huber, S., Willmes, K., and Nuerk, H. C. (2010). Embodied numerosity: implicit handbased representation influence symbolic number processing across cultures. Cognition 116, 251-266.
11. Fayol, M., Barrouillet, P., and Marinthe, C. (1998). Predicting mathematical achievement from neuropsychological performance: a longitudinal study. Cognition 68, 63-70.
12. Fayol, M., and Seron, X. (2005). "About numerical representations: insights from neuropsychological, experimental and developmental studies," in Handbook of Mathematical Cognition, ed. J. I. D. Campbell (New York: Psychology Press), 3-22.
13. Fuson, K. C. (1988). Children's Counting and Concepts of Number. New York: Springer-Verlag.
14. Fuson, K. C., and Kwon, Y. (1992). "Learning addition and subtraction: effects of number word and other cultural tools," in Pathways to Number, eds J. Bideau, C. Meljac, and J. P. Fisher (Hillsdale, NJ: Erlbaum), 351-374.
15. Fuson, K. C., Richards, J., and Briars, D. J. (1982). "The acquisition and elaboration of the number word sequence," in Children's Logical and Mathematical Cognition, ed. C. J. Brainerd (New York: SpringerVerlag), 33-92
16. Geary, D. C. (1994). "Developing arithmetical skills," in Children's mathematical development: Research and Practical Applications, ed. D. C. Geary (Washington, DC: American Psychological Association), 37-93
17. Gelman, R., and Gallistel, C. R. (1978). The Child's Understanding of Number. Cambridge, MA: Harvard University Press.
18. Ifrah, G. (2000). The Universal History of Numbers. London: Harvill.
19. Iversen, W., Nuerk, H. C., Jager, L., and Willmes, K. (2006). The influence of an external symbol system on number parity representation, or what's odd about 6? Psychon. Bull. Rev. 13, 730-736.
20. Nicoladis, E., Pika, S., and Marentette, P. (2010). Are number gestures easier than number words for preschoolers? Cogn. Dev. 25, 247-261.
21. Noël, M. P. (2005). Finger gnosia: a predictor of numerical abilities in children? Child Neuropsychol. 11, 413-430.
22. Pesenti, M., Thioux, M., Seron, X., and De Volder, A. (2000). Neuroanatomical substrates of Arabic number processing, numerical comparison, and simple addition: a PET study. J. Cogn. Neurosci. 12, 461-479.
23. Piazza, M., Mechelli, A., Butterworth, B., and Price, C. J. (2002). Are subitizing and counting implemented as separate or functionally overlapping processes? Neuroimage 15, 435-446.
24. Pinel, P., Piazza, M., Le Bihan, D., and Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41, 983-993
25. Spaepen, E., Coppola, M., Spelke, E. S., Carey, S. E., and Goldin-Meadow, S. (2011). Number without a language model. PNAS 108, 3163-3168.
26. Wiese, H. (2003a). Iconic and non-iconic stages in number development: the role of language. Trends Cogn. Sci. (Regul. Ed.) 7, 385-390.
27. Wiese, H. (2003b). Numbers, Language, and the Human Mind. Cambridge, MA: Cambridge University Press.