Variability signatures distinguish verbal from nonverbal counting for both large and small numbers (original) (raw)
References
Balakrishnan, J. D., &Ashby, F. G. (1992). Subitizing: Magical numbers or mere superstition.Psychological Research,54, 80–90. ArticlePubMed Google Scholar
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. ArticlePubMed Google Scholar
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. ArticlePubMed Google Scholar
Butterworth, B. (1999).The mathematical brain. London: MacMillan. Google Scholar
Carey, S. (1998). Knowledge of number: Its evolution and ontogeny.Science,282, 641–642. ArticlePubMed Google Scholar
Carey, S. (2001). Cognitive foundations of arithmetic: Evolution and ontogenesis.Mind & Language,16, 37–55. Article Google Scholar
Dehaene, S., Dehaene-Lambertz, G., &Cohen, L. (1998). Abstract representations of numbers in the animal and human brain.Trends in Neuroscience,21, 355–361. Article Google Scholar
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. Article Google Scholar
Fetterman, J. G. (1993). Numerosity discrimination: Both time and number matter.Journal of Experimental Psychology: Animal Behavior Processes,19, 149–164. ArticlePubMed Google Scholar
Gallistel, C. R., &Gelman, R. (1992). Preverbal and verbal counting and computation.Cognition,44, 43–74. ArticlePubMed Google Scholar
Gallistel, C. R., &Gelman, R. (2000). Non-verbal numerical cognition: From reals to integers.Trends in Cognitive Sciences,4, 59–65. ArticlePubMed Google Scholar
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.
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. Google Scholar
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. Google Scholar
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. Google Scholar
Gibbon, J., &Church, R. M. (1981). Time left: Linear versus logarithmic subjective time.Journal of Experimental Psychology: Animal Behavior Processes,7, 87–107. ArticlePubMed Google Scholar
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. Google Scholar
Hauser, M., &Carey, S. (1998). Building a cognitive creature from a set 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. Google Scholar
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. Google Scholar
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. Article Google Scholar
Logie, R. H., &Baddeley, A. D. (1987). Cognitive processes in counting.Journal of Experimental Psychology: Learning, Memory, & Cognition,13, 310–326. Article Google Scholar
Mandler, G., &Shebo, B. J. (1982). Subitizing: An analysis of its component processes.Journal of Experimental Psychology: General,11, 1–22. Article Google Scholar
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. ArticlePubMed Google Scholar
Moyer, R. S., &Landauer, T. K. (1967). Time required for judgments of numerical inequality.Nature,215, 1519–1520. ArticlePubMed Google Scholar
Moyer, R. S., &Landauer, T. K. (1973). Determinants of reaction time for digit inequality judgments.Bulletin of the Psychonomic Society,1, 167–168. Google Scholar
Platt, J. R., &Johnson, D. M. (1971). Localization of position within a homogeneous behavior chain: Effects of error contingencies.Learning & Motivation,2, 386–414. Article Google Scholar
Reynvoet, B., &Brysbaert, M. (1999). Single-digit and two-digit Arabic numerals address the same semantic number line.Cognition,72, 191–201. ArticlePubMed Google Scholar
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. ArticlePubMed Google Scholar
Simon, T. J. (1999). The foundations of numerical thinking in a brain without numbers.Trends in Cognitive Sciences,3, 363–364. ArticlePubMed Google Scholar
Starkey, P., &Cooper, R. G. (1995). The development of subitizing in young children.British Journal of Developmental Psychology,13, 399–420. Google Scholar
Stevens, S. (1956). The direct estimation of sensory magnitudes— Loudness.American Journal of Psychology,69, 1–25. ArticlePubMed Google Scholar
Stevens, S., &Harris, J. R. (1962). The scaling of subjective roughness and smoothness.Journal of Experimental Psychology,64, 489–494. ArticlePubMed Google Scholar
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. Google Scholar
Washburn, D. A. (1994). Stroop-like effects for monkeys and humans: Processing speed or strength of association?Psychological Science,5, 375–379. ArticlePubMed Google Scholar
Whalen, J., Gallistel, C. R., &Gelman, R. (1999). Nonverbal counting in humans: The psychophysics of number representation.Psychological Science,10, 130–137. Article Google Scholar