Variability signatures distinguish verbal from nonverbal counting for both large and small numbers

Psychonomic Bulletin and Review

Volumn 8, Issue 4, 2001, Pages 698-707

  Cordes, Sara ^b   Gelman, Rochel ^b   Gallistel, C R ^c   Whalen, John ^a  

^a UNIVERSITY OF DELAWARE   (United States)

^b RUTGERS UNIVERSITY   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; FEMALE; HUMAN; MALE; MATHEMATICS; NONVERBAL COMMUNICATION; VERBAL BEHAVIOR;

ADULT; FEMALE; HUMANS; MALE; MATHEMATICS; NONVERBAL COMMUNICATION; VERBAL BEHAVIOR;

EID: 0035756307     PISSN: 10699384     EISSN: None     Source Type: Journal    
DOI: 10.3758/BF03196206     Document Type: Article

References (36)

1. BALAKRISHNAN, J. D., & ASHBY, F. G. (1992). Subitizing: Magical numbers or mere superstition. Psychological Research, 54, 80-90.
2. BRANNON, E. M., & TERRACE, H. S. (2000). Representation of the numerosities 1-9 by rhesus macaques (Macaca mulatta). Journal of Experimental Psychology: Animal Behavior Processes, 26, 31-49.
3. BRANNON, E. M., WUSTHOFF, C. J., GALLISTEL, C. R., & GIBBON, J. (2001) Numerical subtraction in the pigeon: Evidence for a linear subjective number scale. Psychological Science, 12, 238-243.
4. BUTTERWORTH, B. (1999). The mathematical brain. London: MacMillan.
5. CAREY, S. (1998). Knowledge of number: Its evolution and ontogeny. Science, 282, 641-642.
6. CAREY, S. (2001). Cognitive foundations of arithmetic: Evolution and ontogenesis. Mind & Language, 16, 37-55.
7. DEHAENE, S., DEHAENE-LAMBERTZ, G., & COHEN, L. (1998). Abstract representations of numbers in the animal and human brain. Trends in Neuroscience, 21, 355-361.
8. DEHAENE, S., DUPOUX, E., & MEHLER, J. (1990). Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception & Performance, 16, 626-641.
9. FETTERMAN, J. G. (1993). Numerosity discrimination: Both time and number matter. Journal of Experimental Psychology: Animal Behavior Processes, 19, 149-164.
10. GALLISTEL, C. R., & GELMAN, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
11. GALLISTEL, C. R., & GELMAN, R. (2000). Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences, 4, 59-65.
12. GALLISTEL, C. R., GELMAN, R., & CORDES, S. (in press). The cultural and evolutionary history of the real numbers. In S. Levinson & P. Jaisson (Eds.), Culture and evolution. Oxford: Oxford University Press.
13. GELMAN, R. (1993). A rational-constructivist account of early learning about numbers and objects. In D. Medin (Ed.), Learning and motivation (Vol. 30, pp. 61-96). Academic Press: New York.
14. GELMAN, R., & CORDES, S. (2001). Counting in animals and humans. In E. Dupoux (Ed.), Language, brain and cognitive development: Essays in honor of Jacques Mehler (pp. 279-303). Cambridge, MA: MIT Press.
15. GELMAN, R., & MECK, E. (1992). Early principles aid early but not later conceptions of number. In J. Bideaud, C. Meljac, & J. P. Fischer (Eds.), Pathways to number (pp. 171-189). Hillsdale, NJ.: Erlbaum.
16. GIBBON, J., & CHURCH, R. M. (1981). Time left: Linear versus logarithmic subjective time. Journal of Experimental Psychology: Animal Behavior Processes, 7, 87-107.
17. GIBBON, J., CHURCH, R. M., & MECK, W. H. (1984). Scalar timing in memory. In J. Gibbon & L. Allan (Eds.), Timing and time perception (New York Academy of Sciences, Vol. 423, pp. 52-77). New York: New York Academy of Sciences.
18. HAUSER, M., & CAREY, S. (1998). Building a cognitive creature from aset of primitives: Evolutionary and developmental insights. In E. D. D. Cummins, E. C. Allen, et al. (Eds.), The evolution of mind (pp. 51-106). Oxford: Oxford University Press.
19. JORAM, E., SUBRAHMANYAM, K., & GELMAN, R. (1998). Measurement estimation: Learning to map the route from number to quantity and back. Review of Educational Research, 68, 413-449.
20. LESLIE, A. M., XU, F., TREMOULET, P. D., & SCHOLL, B. (1998). Indexing and the object concept: Developing What and Where systems. Trends in Cognitive Sciences, 2, 10-18.
21. LOGIE, R. H., & BADDELEY, A. D. (1987). Cognitive processes in counting. Journal of Experimental Psychology: Learning, Memory, & Cognition, 13, 310-326.
22. MANDLER, G., & SHEBO, B. J. (1982). Subitizing: An analysis of its component processes. Journal of Experimental Psychology: General, 11, 1-22.
23. MECK, W. H., & CHURCH, R. M. (1983). A mode control model of counting and timing processes. Journal of Experimental Psychology: Animal Behavior Processes, 9, 320-334.
24. MOYER, R. S., & LANDAUER, T. K. (1967). Time required for judgments of numerical inequality. Nature, 215, 1519-1520.
25. MOYER, R. S., & LANDAUER, T. K. (1973). Determinants of reaction time for digit inequality judgments. Bulletin of the Psychonomic Society, 1, 167-168.
26. PLATT, J. R., & JOHNSON, D. M. (1971). Localization of position within a homogeneous behavior chain: Effects of error contingencies. Learning & Motivation, 2, 386-414.
27. REYNVOET, B., & BRYSBAERT, M. (1999). Single-digit and two-digit Arabic numerals address the same semantic number line. Cognition, 72, 191-201.
28. RUMBAUGH, D. M., SAVAGE-RUMBAUGH, S., & HEGEL, M. T. (1987). Summation in the chimpanzee (Pan troglodytes). Journal of Experimental Psychology: Animal Behavior Processes, 13, 107-115.
29. SIMON, T. J. (1999). The foundations of numerical thinking in a brain without numbers. Trends in Cognitive Sciences, 3, 363-364.
30. SPELKE, E. S. (2000). Core knowledge. American Psychologist, 55, 1233-1243.
31. STARKEY, P., & COOPER, R. G. (1995). The development of subitizing in young children. British Journal of Developmental Psychology, 13, 399-420.
32. STEVENS, S. (1956). The direct estimation of sensory magnitudes - Loudness. American Journal of Psychology, 69, 1-25.
33. STEVENS, S., & HARRIS, J. R. (1962). The scaling of subjective roughness and smoothness. Journal of Experimental Psychology, 64, 489-494.
34. TRICK, L. M., & PYLYSHYN, Z. W. (1994). Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review, 101, 80-102.
35. WASHBURN, D. A. (1994). Stroop-like effects for monkeys and humans: Processing speed or strength of association? Psychological Science, 5, 375-379.
36. WHALEN, J., GALLISTEL, C. R., & GELMAN, R. (1999). Nonverbal counting in humans: The psychophysics of number representation. Psychological Science, 10, 130-137.