A common representational system governed by Weber's law: Nonverbal numerical similarity judgments in 6-year-olds and rhesus macaques

Journal of Experimental Child Psychology

Volumn 95, Issue 3, 2006, Pages 215-229

  Jordan, Kerry E ^a   Brannon, Elizabeth M ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Bisection; Cognitive development; Comparative psychology; Nonverbal cognition; Numerical competence; Weber's law

Indexed keywords

ANIMAL; ARTICLE; CHILD; COGNITION; DECISION MAKING; DIFFERENTIAL THRESHOLD; FEMALE; HUMAN; MACACA; MACACA MULATTA; MALE; MATHEMATICS; NONVERBAL COMMUNICATION; PRESCHOOL CHILD;

ANIMALS; CHILD; CHILD, PRESCHOOL; COGNITION; DIFFERENTIAL THRESHOLD; FEMALE; HUMANS; JUDGMENT; MACACA MULATTA; MALE; MATHEMATICS; NONVERBAL COMMUNICATION;

EID: 33749260534     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2006.05.004     Document Type: Article

References (73)

1. Allan L.G., and Gibbon J. Human bisection at the geometric mean. Learning and Motivation 22 (1991) 39-58
2. Barth H., Kanwisher N., and Spelke E. The construction of large number representations in adults. Cognition 86 (2003) 201-221
3. Barth H., La Mont K., Lipton J., Dehaene S., Kanwisher N., and Spelke E. Non-symbolic arithmetic in adults and young children. Cognition 98 (2006) 199-222
4. Barth H., La Mont K., Lipton J., and Spelke E.S. Abstract number and arithmetic in preschool children. Proceedings of the National Academy of Sciences 102 (2005) 14116-14121
5. Beran M.J. Summation and numerousness judgments of sequentially presented sets of items by chimpanzees (Pan troglodytes). Journal of Comparative Psychology 115 (2001) 181-191
6. Beran M.J. Chimpanzees (Pan troglodytes) respond to nonvisible sets after one-by-one addition and removal of items. Journal of Comparative Psychology 118 (2004) 25-36
7. Beran M.J., and Beran M.M. Chimpanzees remember the results of one-by-one addition of food items to sets over extended time periods. Psychological Science 15 (2004) 94-99
8. Beran M.J., Beran M.M., Harris E.H., and Washburn D.A. Ordinal judgments and summation of nonvisible sets of food items by two chimpanzees and a rhesus macaque. Journal of Experimental Psychology: Animal Behavior Processes 31 (2005) 351-362
9. Beran M.J., and Rumbaugh D.M. "Constructive" enumeration by chimpanzees (Pan troglodytes) on a computerized task. Animal Cognition 4 (2001) 81-89
10. Boisvert M.J., Abroms B.D., and Roberts W.A. Human nonverbal counting estimated by response production and verbal report. Psychonomic Bulletin & Review 10 (2003) 683-690
11. Booth J.L., and Siegler R.S. Developmental and individual differences in pure numerical estimation. Developmental Psychology 41 (2006) 189-201
12. Brannon E.M., and Roitman J. Nonverbal representations of time and number in non-human animals and human infants. In: Meck W. (Ed). Functional and neural mechanisms of interval timing (2003), CRC Press, Boca Raton, FL 143-182
13. Brannon E.M., and Terrace H.S. Ordering of the numerosities 1 to 9 by monkeys. Science 282 (1998) 746-749
14. Brannon E.M., and Terrace H.S. Representation of the numerosities 1-9 by rhesus macaques (Macaca mulatta). Journal of Experimental Psychology: Animal Behavior Processes 26 (2000) 31-49
15. Brannon E.M., Wusthoff C.J., Gallistel C.R., and Gibbon J. Subtraction in the pigeon: evidence for a linear subjective number scale. Psychological Science 12 (2001) 238-243
16. Cantlon J., and Brannon E.M. Semantic congruity facilitates number judgments in monkeys. Proceedings of the National Academy of Sciences 102 (2005) 16507-16511
17. Cantlon J., and Brannon E.M. The effect of heterogeneity on numerical ordering in rhesus monkeys. Infancy 9 (2006) 173-189
18. Cantlon, J., & Brannon, E. M. (2006b). How much does number matter to a monkey? Unpublished manuscript, Duke University.
19. Cantlon, J., Fink, R., & Brannon, E. M. (2006a). Heterogeneity differentially affects children's performance in a matching and ordinal numerical task. Unpublished manuscript, Duke University.
20. Cantlon, J. F., Safford, K. E., & Brannon, E. M. (2006b). Young children spontaneously represent small sets numerically as analog magnitudes. Unpublished manuscript, Duke University.
21. Church R.M., and Deluty M.Z. Bisection of temporal intervals. Journal of Experimental Psychology: Animal Behavior Processes 3 (1977) 216-228
22. Clement A., and Droit-Volet S. Counting in a time discrimination task in children and adults. Behavioural Processes 71 (2006) 164-171
23. Dehaene S. The number sense (1997), Oxford University Press, New York
24. Dehaene S., and Changeux J.P. Development of elementary numerical abilities: a neuronal model. Journal of Cognitive Neuroscience 5 (1993) 390-407
25. Dehaene S., Dupoux E., and Mehler J. Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance 16 (1990) 626-641
26. Droit-Volet S. Scalar timing in temporal generalization in children with short and long stimulus durations. Quarterly Journal of Experimental Psychology A 55 (2002) 1193-1209
27. Droit-Volet S. Temporal experience and timing in children. In: Meck W. (Ed). Functional and neural mechanisms of interval timing (2003), CRC Press, Boca Raton, FL 183-208
28. Droit-Volet S., Clement A., and Fayol M. Time and number discrimination in a bisection task with a sequence of stimuli: a developmental approach. Journal of Experimental Child Psychology 84 (2003) 63-76
29. Droit-Volet S., Clement A., and Wearden J. Temporal generalization in 3- to 8-year-old children. Journal of Experimental Child Psychology 80 (2001) 271-288
30. Droit-Volet S., and Wearden J.H. Temporal bisection in children. Journal of Experimental Child Psychology 80 (2001) 142-159
31. Feigenson L., Dehaene S., and Spelke E. Core systems of number. Trends in Cognitive Sciences 8 (2004) 307-314
32. Fetterman J.G. Numerosity discrimination: both time and number matter. Journal of Experimental Psychology: Animal Behavior Processes 19 (1993) 149-164
33. Gallistel C.R., and Gelman R. Preverbal and verbal counting and computation. Cognition 44 (1992) 43-74
34. Gelman R., and Gallistel C.R. The child's understanding of number (1978), Harvard University Press, Cambridge, MA
35. Gibbon J. Scalar expectancy theory and Weber's law in animal timing. Psychological Review 84 (1977) 279-325
36. Gibbon J. On the form and location of the psychometric bisection function for time. Journal of Mathematical Psychology 24 (1981) 58-87
37. Gibbon J. The structure of subjective time: how time flies. In: Bower G. (Ed). The psychology of learning and motivation Vol. 20 (1986), Academic Press, San Diego 105-135
38. Hauser M.D., Tsao F.T., Garcia P., and Spelke E.S. Evolutionary foundations of number: spontaneous representation of numerical magnitudes by cotton-top tamarins. Proceedings of the Royal Society (London) B 270 (2003) 1441-1446
39. Huntley-Fenner G. Children's understanding of number is similar to adults' and rats': numerical estimation by 5-7-year-olds. Cognition 78 (2001) B27-B40
40. Huntley-Fenner G., and Cannon E. Preschoolers' magnitude comparisons are mediated by a preverbal analog mechanism. Psychological Science 11 (2000) 147-152
41. Jordan, K. E., & Brannon, E. M. (2006). Weber's law influences the numerical representations in rhesus macaques (Macaca mulatta). Animal Cognition [Epub ahead of print].
42. Judge P.G., Evans T.A., and Vyas D.K. Ordinal representation of numeric quantities by brown capuchin monkeys (Cebus apella). Journal of Experimental Psychology: Animal Behavior Processes 31 (2005) 79-94
43. Kaufman E., Lord M., Reese T., and Volkmann J. The discrimination of visual number. American Journal of Psychology 62 (1949) 498-525
44. Lipton J.S., and Spelke E.S. Origins of number sense: large number discrimination in human infants. Psychological Science 14 (2003) 396-401
45. Lipton J.S., and Spelke E.S. Discrimination of large and small numerosities by human infants. Infancy 5 (2004) 271-290
46. Lipton J.S., and Spelke E.S. Preschool children's mapping of number words to nonsymbolic numerosities. Child Development 76 (2005) 978-988
47. Mandler G., and Shebo B. Subitizing: an analysis of its component processes. Journal of Experimental Psychology: General 111 (1982) 1-22
48. Meck W.H., and Church R.M. A mode control model of counting and timing processes. Journal of Experimental Psychology: Animal Behavior Processes 9 (1983) 320-334
49. Meck W.H., Church R.M., and Gibbon J. Temporal integration in duration and number discrimination. Journal of Experimental Psychology: Animal Behavior Processes 4 (1985) 591-597
50. Moyer R., and Landauer T. Time required for judgments of numerical inequality. Nature 215 (1967) 1519-1520
51. Nieder A., Freedman D.J., and Miller E.K. Representation of the quantity of visual items in the primate prefrontal cortex. Science 297 (2002) 1708-1711
52. Nieder A., and Miller E.K. Coding of cognitive magnitude: compressed scaling of numerical information in the primate prefrontal cortex. Neuron 37 (2003) 149-157
53. Nieder A., and Miller E.K. Analog numerical representations in rhesus monkeys: evidence for parallel processing. Journal of Cognitive Neuroscience 16 (2004) 889-901
54. Pica P., Lemer C., Izard V., and Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 306 (2004) 499-503
55. Platt J.R., and Davis E.R. Bisection of temporal intervals by pigeons. Journal of Experimental Psychology: Animal Behavior Processes 9 (1983) 160-170
56. Rattat A.C., and Droit-Volet S. Variability in 5- and 8-year-olds' memory for duration: an interfering task in temporal bisection. Behavioural Processes 55 (2001) 81-91
57. Roberts W.A. How do pigeons represent numbers? Studies of number scale bisection. Behavioural Processes 69 (2005) 33-43
58. Roitman, J. D., Brannon, E. M., Andrews, J. R., & Platt, M. L. (2006). Nonverbal representation of time and number in adults. Acta Psychologica [Epub ahead of print].
59. Rumbaugh D.M., Savage-Rumbaugh E.S., and Hegel M.T. Summation in the chimpanzee (Pan troglodytes). Journal of Experimental Psychology: Animal Behavior Processes 13 (1987) 107-115
60. Sekuler R., and Mierkiewicz D. Children's judgments of numerical inequality. Child Development 48 (1977) 630-633
61. Siegler R.S., and Booth J.L. Development of numerical estimation in young children. Child Development 75 (2004) 428-444
62. Siegler R.S., and Opfer J.E. The development of numerical estimation: evidence for multiple representations of numerical quantity. Psychological Science 14 (2003) 237-243
63. Smith B.R., Piel A.K., and Candland D.K. Numerity of a socially housed hamadryas baboon (Papio hamadryas) and a socially housed squirrel monkey (Saimiri sciureus). Journal of Comparative Psychology 117 (2003) 217-225
64. Stubbs D.A. Scaling of stimulus duration by pigeons. Journal of the Experimental Analysis of Behavior 26 (1976) 15-25
65. Temple E., and Posner M.I. Brain mechanisms of quantity are similar in 5-year-olds and adults. Proceedings of the National Academy of Sciences 95 (1998) 7836-7841
66. Trick L.M., and Pylyshyn Z.W. Why are small and large numbers enumerated differently? A limited capacity preattentive stage in vision. Psychological Review 101 (1994) 80-102
67. Washburn D.A., and Rumbaugh D.M. Ordinal judgments of numerical symbols by macaques (Macaca mulatta). Psychological Science 2 (1991) 190-193
68. Wearden J.H. Human performance on an analogue of an interval bisection task. Quarterly Journal of Experimental Psychology B 43 (1991) 59-81
69. Wearden J.H. Prescriptions for models of biopsychological time. In: Oaksford M., and Brown G. (Eds). Neurodynamics and psychology (1994), Academic Press, San Diego 215-236
70. Wearden J.H., Rogers P., and Thomas R. Temporal bisection in humans with longer stimulus durations. Quarterly Journal of Experimental Psychology B 50 (1997) 79-94
71. Whalen J., Gallistel C.R., and Gelman R. Nonverbal counting in humans: the psychophysics of number representation. Psychological Science 10 (1999) 130-137
72. Xu F., and Spelke E.S. Large number discrimination in 6-month-old infants. Cognition 74 (2000) B1-B11
73. Xu F., Spelke E.S., and Goddard S. Number sense in human infants. Developmental Science 8 (2005) 88-101