Abstract
Numerical information is crucial to successful performance on many tasks. Accordingly, as a basis for developing augmented cognition applications, it is important to understand how people apprehend numerical information and whether there are systematic limitations on their ability to do so accurately. This paper reports research on the role of non-numerical spatial information and of numerical representations in adults’ judgments about large-numerosity spatial arrays. Arrays that contained more open space tended to be perceived as less numerous than ones with less open space. Further, the accuracy with which viewers estimated the arrays’ numerosities bore little relation to their success in identifying the more numerous array in each pair. Numerical judgments thus are heavily influenced by spatial information that is not necessarily a reliable cue to numerosity. While some information about absolute numerosity is extracted in making numerical comparisons, it appears to be very imprecise.
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Lipton, J.S., Spelke, E.S.: Origins of number sense: Large-number discrimination in human infants. Psych. Sci. 14, 396–401 (2003)
Walsh, V.: A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cognit. Sci. 7, 483–488 (2003)
Clearfield, M.W., Mix, K.S.: Number versus contour length in infants’ discrimination of small visual sets. Psych. Sci. 10, 408–411 (1999)
Clearfield, M.W., Mix, K.S.: Amount versus number: Infants’ use of area and contour length to discriminate small sets. J. Cognit. and Devel. 2, 243–260 (2001)
Buckley, P.B., Gillman, C.B.: Comparisons of digits and dot patterns. J. Exper. Psych. 1103, 1131–1136 (1974)
van Oeffelen, M.P., Vos, P.G.: A probabilistic model for the discrimination of visual number. Percep. and Psychophys. 32, 163–170 (1982)
Whalen, J., Gallistel, C.R., Gelman, R.: Nonverbal counting in humans: The psychophysics of number representation. Psych. Sci. 10, 130–137 (1995)
Shuman, M., Kanwisher, N.: Numerical magnitude in the human parietal lobe: Tests of representational generality and domain specificity. Neuron 44, 557–569 (2004)
Barth, H., Kanwisher, N., Spelke, E.: The construction of large number representations in adults. Cognit. 86, 201–221 (2003)
Carraher, T.N., Carraher, D.W., Schliemann, A.D.: Mathematics in the streets and in schools. Brit. J. Devel. Psych. 3, 21–29 (1985)
Smith III, J.P.: Competent reasoning with rational numbers. Cognit. and Instruc. 13, 3–50 (1995)
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Sophian, C. (2007). Measuring Spatial Factors in Comparative Judgments About Large Numerosities. In: Schmorrow, D.D., Reeves, L.M. (eds) Foundations of Augmented Cognition. FAC 2007. Lecture Notes in Computer Science(), vol 4565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73216-7_18
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DOI: https://doi.org/10.1007/978-3-540-73216-7_18
Publisher Name: Springer, Berlin, Heidelberg
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