Synonyms
Definition
The approximate number system (ANS) is a core cognitive system of numerical processing that governs animal and human nonsymbolic numerical representations. Weber’s law underlies the ANS, in which performance in discriminating set sizes increases as the ratio between sets also increases.
Introduction
The ability to perceive, discriminate, store, and represent numerical information supports a host of everyday human behaviors and makes possible engineering feats that drive many of our technological innovations. Of relevance to the current chapter, engineers, astronauts, banking institutions, store clerks, and elementary math students base their simplest and more complicated calculations and numerical processing on a core system of number that is shared among human individuals as well as across a wide range of nonhuman species. Nonhuman animals (hereafter animals) also are sensitive to the quantitative and numerical...
References
Addessi, E., Crescimbene, L., & Visalberghi, E. (2008). Food and token quantity discrimination in capuchin monkeys (Cebus apella). Animal Cognition, 11, 275–282.
Agrillo, C., Miletto Petrazzini, E. M., & Bisazza, A. (2014). Numerical acuity of fish is improved in the presence of moving targets, but only in the subitizing range. Animal Cognition, 17, 307–316.
Agrillo, C., Parrish, A. E., & Beran, M. J. (2016). How illusory is the Solitaire illusion? Assessing the degree of misperception of numerosity in adult humans. Frontiers in Psychology, 7, 1663.
Barnard, A. M., Hughes, K. D., Gerhardt, R. R., DiVincenti, L. J., Bovee, J. M., & Cantlon, J. F. (2013). Inherently analog quantity representations in olive baboons (Papio anubis). Frontiers in Psychology, 4, 253.
Beran, M. J. (2001). Summation and numerousness judgments of sequentially presented sets of items by chimpanzees (Pan troglodytes). Journal of Comparative Psychology, 115, 181–191.
Beran, M. J. (2004). Chimpanzees (Pan troglodytes) respond to nonvisible sets after one-by-one addition and removal of items. Journal of Comparative Psychology, 118, 25–36.
Beran, M. J. (2007). Rhesus monkeys (Macaca mulatta) enumerate large and small sequentially presented sets of items using analog numerical representations. Journal of Experimental Psychology: Animal Behavior Processes, 33, 55–63.
Beran, M. J., & Parrish, A. E. (2016). Capuchin monkeys (Cebus apella) treat small and large numbers of items similarly during a relative quantity judgment task. Psychonomic Bulletin & Review, 23, 1206–1213.
Bisazza, A., Agrillo, C., & Lucon-Xiccato, T. (2014). Extensive training extends numerical abilities of guppies. Animal Cognition, 17, 1413–1419.
Brannon, E. M., & Roitman, J. D. (2003). Nonverbal representations of time and number in animals and human infants. In W. H. Meck (Ed.), Functional and neural mechanisms of interval timing (pp. 143–182). Boca Raton: CRC Press.
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.
Call, J. (2000). Estimating and operating on discrete quantities in orangutans (Pongo pygmaeus). Journal of Comparative Psychology, 114, 136–147.
Cantlon, J. F., & Brannon, E. M. (2007). How much does number matter to a monkey (Macaca mulatta)? Journal of Experimental Psychology: Animal Behavior Processes, 33, 32–41.
Cantlon, J. F., Platt, M. L., & Brannon, E. M. (2009). Beyond the number domain. Trends in Cognitive Sciences, 13, 83–91.
Cantlon, J. F., Safford, K. E., & Brannon, E. M. (2010). Spontaneous analog number representations in 3-year-old children. Developmental Science, 13, 289–297.
Choo, H., & Franconeri, S. L. (2014). Enumeration of small collections violates Weber’s law. Psychonomic Bulletin & Review, 21, 93–99.
Dooley, G. B., & Gill, T. (1977). Acquisition and use of mathematical skills by a linguistic chimpanzee. In D. M. Rumbaugh (Ed.), Language learning by a chimpanzee: The LANA project (pp. 247–260). New York: Academic Press.
Emmerton, J., Lohmann, A., & Niemann, J. (1997). Pigeons’ serial ordering of numerosity with visual arrays. Learning & Behavior, 25, 234–244.
Evans, T. A., Beran, M. J., Harris, E. H., & Rice, D. (2009). Quantity judgments of sequentially presented food items by capuchin monkeys (Cebus apella). Animal Cognition, 12, 97–105.
Feigenson, L., & Carey, S. (2005). On the limits of infants’ quantification of small object arrays. Cognition, 97, 295–313.
Feigenson, L., Carey, S., & Hauser, M. D. (2002). The representations underlying infants’ choice of more: Object files versus analog magnitudes. Psychological Science, 13, 150–156.
Franconeri, S. L., Alvarez, G. A., & Enns, J. T. (2007). How many locations can be selected at once? Journal of Experimental Psychology: Human Perception and Performance, 33, 1003–1012.
Gallistel, C. R., & Gelman, R. (2000). Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences, 4, 59–65.
Garland, A., Low, J., & Burns, K. C. (2012). Large quantity discrimination by North Island robins (Petroica longipes). Animal Cognition, 15, 1129–1140.
Hanus, D., & Call, J. (2007). Discrete quantity judgments in the great apes (Pan paniscus, Pan troglodytes, Gorilla gorilla, Pongo pygmaeus): The effect of presenting whole sets versus item-by-item. Journal of Comparative Psychology, 121, 241–249.
Hauser, M. D., Carey, S., & Hauser, L. B. (2000). Spontaneous number representation in semi–free–ranging rhesus monkeys. Proceedings of the Royal Society of London. Series B: Biological Sciences, 267, 829–833.
Hyde, D. C. (2011). Two systems of non-symbolic numerical cognition. Frontiers in Human Neuroscience, 5, 150.
Judge, P. G., Evans, T. A., & Vyas, D. K. (2005). Ordinal representation of numeric quantities by brown capuchin monkeys (Cebus apella). Journal of Experimental Psychology: Animal Behavior Processes, 31, 79–94.
Krusche, P., Uller, C., & Dicke, U. (2010). Quantity discrimination in salamanders. Journal of Experimental Biology, 213, 1822–1828.
Merritt, D. J., MacLean, E. L., Crawford, J. C., & Brannon, E. M. (2011). Numerical rule-learning in ring-tailed Lemurs (Lemur catta). Frontiers in Comparative Psychology, 2, Article 23.
Nieder, A., & Miller, E. K. (2004). Analog numerical representations in rhesus monkeys: Evidence for parallel processing. Journal of Cognitive Neuroscience, 16, 889–901.
Smith, B. R., Piel, A. K., & Candland, D. K. (2003). Numerity of a socially housed hamadryas baboon (Papio hamadryas) and a socially housed squirrel monkey (Saimiri sciureus). Journal of Comparative Psychology, 117, 217–225.
Whalen, J., Gallistel, C. R., & Gelman, R. (1999). Nonverbal counting in humans: The psychophysics of number representation. Psychological Science, 10, 130–137.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this entry
Cite this entry
Parrish, A.E., Beran, M.J. (2017). Approximate Number System (ANS). In: Vonk, J., Shackelford, T. (eds) Encyclopedia of Animal Cognition and Behavior. Springer, Cham. https://doi.org/10.1007/978-3-319-47829-6_1068-1
Download citation
DOI: https://doi.org/10.1007/978-3-319-47829-6_1068-1
Received:
Accepted:
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47829-6
Online ISBN: 978-3-319-47829-6
eBook Packages: Springer Reference Behavioral Science and PsychologyReference Module Humanities and Social SciencesReference Module Business, Economics and Social Sciences