Development of elementary numerical abilities: A neuronal model

Journal of Cognitive Neuroscience

Volumn 5, Issue 4, 1993, Pages 390-407

  Dehaene, Stanislas ^a   Changeux, Jean Pierre ^b  

^a CNRS   (France)

^b INSTITUT PASTEUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARITHMETIC; ARTICLE; COGNITIVE DEVELOPMENT; COMPARATIVE STUDY; COMPUTER SIMULATION; HUMAN; LANGUAGE; LEARNING; MODEL; NERVE CELL NETWORK; SHORT TERM MEMORY;

EID: 0027508419     PISSN: 0898929X     EISSN: None     Source Type: Journal    
DOI: 10.1162/jocn.1993.5.4.390     Document Type: Article

References (29)

1. Anderson,J. A., Spoehr, K. T., & Bennett, D. J. (in press). A study in numerical perversity: Teaching arithmetic to a neural network. In D. S. Levine & M. Aparicio (Eds.), Neural networks for knowledge representation and inference. Hillsdale, NJ: Erlbaum.
2. Antell, S. E., & Keating, D. P. (1983). Perception of numerical invariance in neonates. Child Development, 54, 695-701.
3. Ashcraft, M. (1992). Cognitive arithmetics: A review of data and theory. Cognition, 44, 75-106.
4. Assal, G., & Jacot-Descombes, C. (1984). Intuition arithmétique chez un acalculique. Revue Neurologique, 140, 374-375.
5. Atkinson, J., Francis, M. R., & Campbell, F. W. (1976). The dependence of the visual numerosity limit on orientation, colour, and grouping in the stimulus. Perception, 5, 335-342.
6. Bijeljac-Babic, R., Bertoncini, J., & Mehler, J. (1991). How do four-day-old infants categorize multisyllabic utterances? Manuscript submitted for publication.
7. Bryant, P. E., & Trabasso, T. (1971). Transitive inferences and memory in young children. Nature (London), 232, 456-458.
8. Buckley, P. B., & Gillman, C. B. (1974). Comparison of digits and dot patterns. Journal of Experimental Psychology, 103, (6), 1131-1136.
9. Changeux, J. P., & Dehaene, S. (1989). Neuronal models of cognitive functions. Cognition, 33, 63-109.
10. Chi, M. T. H., & Klahr, D. (1975). Span and rate of apprehension in children and adults. Journal of Experimental Child Psychology, 19, 434-439.
11. Church, R. M., & Meek, W. H. (1984). The numerical attribute of stimuli. In H. L. Roitblat, T. G. Bever, & H. S. Terrace (Eds.), Animal cognition. Hillsdale, NJ: Erlbaum.
12. Cooper, R. G. (1984). Early number development: Discovering number space with addition and subtraction. In C. Sophian (Ed.), Origins of cognitive skills (pp. 157-192). Hillsdale, NJ: Erlbaum.
13. Couvillon, P. A., & Bitterman, M. E. (1992). A conventional conditioning analysis of "Transitive Inference" in pigeons. Journal of Experimental Psychology: Animal Behavior Processes, 18, 308-310.
14. Phian, C., & Adams, N. (1987). Infants' understanding of numerical transformations. British Journal of Developmental Psychology, 5, 257-264.
15. Starkey, P. (1992). The early development of numerical reasoning. Cognition, 43, 93-126.
16. Starkey, P., & Cooper, R. G., Jr. (1980). Perception of numbers by human infants. Science, 210, 1033-1035.
17. Starkey, P., Spelke, E. S., & Gelman, R. (1983). Detection of intermodal numerical correspondences by human infants. Science, 222, 179-181.
18. Starkey, P., Spelke, E. S., & Gelman, R. (1990). Numerical abstraction by human infants. Cognition, 36, 97-127.
19. Strauss, M. S., & Curtis, L. E. (1981). Infant perception of numerosity. Child Development, 52, 1146-1152.
20. Taves, E. H. (1941). Two mechanisms for the perception of visual numerousness. Archives of Psychology, 37, n° 265.
21. Thompson, R. F., Mayers, K. S., Robertson, R. T., & Patterson, C. J. (1970). Number coding in association cortex of the cat. Science, 168, 271-273.
22. Treiber, F., & Wilcox, S. (1984). Discrimination of number by infants. Infant Behavior and Development, 7, 93-100.
23. Trick, L. M., & Pylyshyn, Z. W. (1991). A theory of enumera-tion that grows out of a general theory of vision: Subitizing, counting and FINSTs. University of Western Ontario COGMEM #57.
24. Ungerleider, L. G., & Mishkin, M. (1982). Two conical visual systems. In D. J. Ingle, M. A. Goodale, & R. J. Mansfield (Eds.), Analysis of visual behavior (pp. 549-586). Cambridge, MA: MIT Press.
25. van Lehn, K. (1990). Mind bugs. The origin of procedural misconceptions. Cambridge, MA: MIT Press.
26. van Loosbroek, E., & Smitsman, A. W. (1990). Visual perception of numerosity in infancy. Developmental Psychology, 26, 916-922.
27. von Fersen, L., Wynne, C. D. L., Delius, J. D., & Staddon, J. E. R. (1991). Transitive inference formation in pigeons. Journal of Experimental Psychology: Animal Behavior Processes, 17, 334-341.
28. Washburn, D. A., & Rumbaugh, D. M. (1991). Ordinal judgments of numerical symbols by macaques (Macaca mulatta). Psychologial Science, 2, 190-193.
29. Wynn, K. (1992). Addition and subtraction by human infants. Nature (London), 358, 749-750.