Math, monkeys, and the developing brain

Proceedings of the National Academy of Sciences of the United States of America

Volumn 109, Issue SUPPL.1, 2012, Pages 10725-10732

  Cantlon, Jessica F ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

Analog magnitude; Functional MRI; Mathematics education; Numerical cognition numerosity

Indexed keywords

ARITHMETIC; BRAIN DEVELOPMENT; CHILD DEVELOPMENT; COGNITION; COMPARATIVE STUDY; HAPLORHINI; HUMAN; INTELLIGENCE QUOTIENT; INTRAPARIETAL SULCUS; KNOWLEDGE; MATHEMATICS; MEMORY; NONHUMAN; PRIORITY JOURNAL; RESPONSE TIME; REVIEW; VISION; ANIMAL; BRAIN; GROWTH, DEVELOPMENT AND AGING; INTELLIGENCE; MATHEMATICAL PHENOMENA; PHYSIOLOGY; SYMBOLISM;

ANIMALIA;

ANIMALS; BRAIN; HAPLORHINI; HUMANS; INTELLIGENCE; MATHEMATICAL CONCEPTS; SYMBOLISM;

EID: 84866169975     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1201893109     Document Type: Review

References (81)

1. Gallistel CR, Gelman R (1992) Preverbal and verbal counting and computation. Cognition 44:43-74.
2. Ansari D (2008) Effects of development and enculturation on number representation in the brain. Nat Rev Neurosci 9:278-291.
3. Bonn C, Cantlon JF (2012) The origins and structure of quantitative concepts. Cognitive Neuropsychology, in press.
4. Cantlon JF, Platt ML, Brannon EM (2009) Beyond the number domain. Trends Cogn Sci 13:83-91.
5. Lourenco SF, Longo MR (2011) Origins and development of generalized magnitude representation. Space, Time and Number in the Brain: Searching for the Foundations of Mathematical Thought, eds Dehaene S, Brannon E (Academic, London), 1st Ed, pp 225-244.
6. de Hevia MD, Spelke ES (2009) Spontaneous mapping of number and space in adults and young children. Cognition 110:198-207.
7. Zorzi M, Priftis K, Umiltà C (2002) Brain damage: Neglect disrupts the mental number line. Nature 417:138-139. (Pubitemid 34506785)
8. Pinel P, Piazza M, Le Bihan D, Dehaene S (2004) Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron 41:983-993. (Pubitemid 38429740)
9. Walsh V (2003) A theory of magnitude: Common cortical metrics of time, space and quantity. Trends Cogn Sci 7:483-488.
10. Cohen Kadosh R, Cohen Kadosh K, Henik A (2008) When brightness counts: The neuronal correlate of numerical-luminance interference. Cereb Cortex 18:337-343.
11. Feigenson L (2007) The equality of quantity. Trends Cogn Sci 11:185-187.
12. Feigenson L, Dehaene S, Spelke E (2004) Core systems of number. Trends Cogn Sci 8:307-314. (Pubitemid 38887447)
13. Gallistel CR (1989) Animal cognition: The representation of space, time and number. Annu Rev Psychol 40:155-189.
14. Meck WH, Church RM (1983) A mode control model of counting and timing processes. J Exp Psychol Anim Behav Process 9:320-334.
15. Gelman R, Gallistel CR (1978) The Child's Understanding of Number (Harvard Univ Press, Cambridge, MA), p xiii.
16. Dehaene S, Piazza M, Pinel P, Cohen L (2003) Three parietal circuits for number processing. Cogn Neuropsychol 20:487-506. (Pubitemid 36889818)
17. Nieder A (2005) Counting on neurons: The neurobiology of numerical competence. Nat Rev Neurosci 6:177-190.
18. Halberda J, Mazzocco MM, Feigenson L (2008) Individual differences in non-verbal number acuity correlate with maths achievement. Nature 455:665- 668.
19. Cantlon JF, Brannon EM (2006) Shared system for ordering small and large numbers in monkeys and humans. Psychol Sci 17:401-406. (Pubitemid 43657914)
20. Cantlon JF, Brannon EM (2007) How much does number matter to a monkey (Macaca mulatta)? J Exp Psychol Anim Behav Process 33:32-41. (Pubitemid 46130124)
21. Brannon EM, Terrace HS (1998) Ordering of the numerosities 1 to 9 by monkeys. Science 282:746-749. (Pubitemid 28489387)
22. Cantlon JF, Brannon EM (2005) Semantic congruity affects numerical judgments similarly in monkeys and humans. Proc Natl Acad Sci USA 102:16507-16511. (Pubitemid 41688944)
23. Beran MJ, Beran MM (2004) Chimpanzees remember the results of one-by-one addition of food items to sets over extended time periods. Psychol Sci 15:94-99. (Pubitemid 38361300)
24. Cantlon JF, Brannon EM (2007) Basic math in monkeys and college students. PLoS Biol 5:e328.
25. Emmerton J (2001) Birds' judgments of number and quantity. Avian Visual Cognition, ed Cook RG. Available at http://www.pigeon.psy.tufts.edu/avc/ emmerton/. Accessed April 1, 2012.
26. Dehaene S (1992) Varieties of numerical abilities. Cognition 44:1-42.
27. Pica P, Lemer C, Izard V, Dehaene S (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306:499-503. (Pubitemid 39372452)
28. Holyoak KJ (1977) Form of analog size information in memory. Cognit Psychol 9:31-51.
29. Scarf D, Hayne H, Colombo M (2011) Pigeons on par with primates in numerical competence. Science 334:1664.
30. Campbell JID (2005) Handbook of Mathematical Cognition (Psychology Press, New York).
31. Nieder A, Miller EK (2004) A parieto-frontal network for visual numerical information in the monkey. Proc Natl Acad Sci USA 101:7457-7462. (Pubitemid 38638054)
32. Piazza M, Izard V, Pinel P, Le Bihan D, Dehaene S (2004) Tuning curves for approximate numerosity in the human intraparietal sulcus. Neuron. 44:547-555. Available at http://www.sciencedirect.com/science/journal/08966273.
33. Cantlon JF, Brannon EM, Carter EJ, Pelphrey KA (2006) Functional imaging of numerical processing in adults and 4-y-old children. PLoS Biol 4:e125.
34. Wynn K (1990) Children's understanding of counting. Cognition 36:155-193.
35. Gelman R, Butterworth B (2005) Number and language: How are they related? Trends Cogn Sci 9:6-10. (Pubitemid 40091926)
36. Le Corre M, Carey S (2007) One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 105:395-438. (Pubitemid 47361099)
37. Piazza M (2010) Neurocognitive start-up tools for symbolic number representations. Trends Cogn Sci 14:542-551.
38. Wynn K (1992) Childrens acquisition of the number words and the counting system. Cognit Psychol 24:220-251.
39. Lipton JS, Spelke ES (2005) Preschool children's mapping of number words to nonsymbolic numerosities. Child Dev 76:978-988. (Pubitemid 41463535)
40. Gilmore CK, McCarthy SE, Spelke ES (2007) Symbolic arithmetic knowledge without instruction. Nature 447:589-591. (Pubitemid 46868044)
41. Cappelletti M, Butterworth B, Kopelman M (2001) Spared numerical abilities in a case of semantic dementia. Neuropsychologia 39:1224-1239. (Pubitemid 32799151)
42. Cipolotti L, Butterworth B, Denes G (1991) A specific deficit for numbers in a case of dense acalculia. Brain 114:2619-2637.
43. Warrington EK (1982) The fractionation of arithmetical skills: A single case study. Q J Exp Psychol A 34:31-51.
44. Molko N, et al. (2003) Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin. Neuron 40:847-858. (Pubitemid 37431043)
45. Price GR, Holloway I, Räsänen P, Vesterinen M, Ansari D (2007) Impaired parietal magnitude processing in developmental dyscalculia. Curr Biol 17:R1042-R1043. (Pubitemid 350236850)
46. Dehaene S, Izard V, Spelke E, Pica P (2008) Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science 320:1217-1220. (Pubitemid 351929510)
47. de Hevia MD, Spelke ES (2010) Number-space mapping in human infants. Psychol Sci 21:653- 660.
48. Cantlon JF, Cordes S, Libertus ME, Brannon EM (2009) Comment on "Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures". Science 323:38; author reply 38. Available at http://www.sciencemag.org/content/323/5910/38.2.full.
49. Rusconi E, Kwan B, Giordano BL, Umiltà C, Butterworth B (2006) Spatial representation of pitch height: The SMARC effect. Cognition 99:113-129.
50. Gallistel CR, Gelman II (2000) Non-verbal numerical cognition: From reals to integers. Trends Cogn Sci 4:59-65. (Pubitemid 30089268)
51. Brannon EM, Lutz D, Cordes S (2006) The development of area discrimination and its implications for number representation in infancy. Dev Sci 9:F59-F64. (Pubitemid 44625704)
52. vanMarle K, Wynn K (2006) Six-month-old infants use analog magnitudes to represent duration. Dev Sci 9:F41-F49.
53. Holloway ID, Ansari D (2008) Domain-specific and domain-general changes in children's development of number comparison. Dev Sci 11:644-649.
54. Volet SD, Clement A, Fayol M (2008) Time, number and length: Similarities and differences in discrimination in adults and children. Q J Exp Psychol 61:1827-1846.
55. Gentner D, Medina J (1998) Similarity and the development of rules. Cognition 65:263-297. (Pubitemid 128413235)
56. Mondloch CJ, Maurer D (2004) Do small white balls squeak? Pitch-object correspondences in young children. Cogn Affect Behav Neurosci 4:133-136. (Pubitemid 39167156)
57. Smith LB, Sera MD (1992) A developmental analysis of the polar structure of dimensions. Cognit Psychol 24:99-142.
58. Walker P, et al. (2010) Preverbal infants' sensitivity to synaesthetic cross-modality correspondences. Psychol Sci 21:21-25.
59. Lourenco SF, Longo MR (2010) General magnitude representation in human infants. Psychol Sci 21:873-881.
60. Srinivasan M, Carey S (2010) The long and the short of it: On the nature and origin of functional overlap between representations of space and time. Cognition 116:217-241.
61. Tudusciuc O, Nieder A (2007) Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proc Natl Acad Sci USA 104:14513-14518. (Pubitemid 350003292)
62. Piaget J (1952) The Child's Conception of Number (Routledge & Paul, London), p ix.
63. Gibson E (1969) Principles of Perceptual Learning and Development (Appleton-Century-Crofts, New York), p viii.
64. Spector F, Maurer D (2009) Synesthesia: A new approach to understanding the development of perception. Dev Psychol 45:175-189.
65. Bugden S, Ansari D (2011) Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals. Cognition 118:32-44.
66. Holloway ID, Ansari D (2009) Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement. J Exp Child Psychol 103:17-29.
67. Bull R, Scerif G (2001) Executive functioning as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Dev Neuropsychol 19:273-293. (Pubitemid 33089773)
68. Mazzocco MM, Kover ST (2007) A longitudinal assessment of executive function skills and their association with math performance. Child Neuropsychol 13:18-45. (Pubitemid 46277558)
69. Mazzocco MMM, Singh Bhatia N, Lesniak-Karpiak K (2006) Visuospatial skills and their association with math performance in girls with fragile X or Turner syndrome. Child Neuropsychol 12:87-110. (Pubitemid 43861151)
70. Holloway ID, Ansari D (2010) Developmental specialization in the right intraparietal sulcus for the abstract representation of numerical magnitude. J Cogn Neurosci 22:2627-2637.
71. Cohen Kadosh R, Cohen Kadosh K, Kaas A, Henik A, Goebel R (2007) Notation-dependent and -independent representations of numbers in the parietal lobes. Neuron 53:307-314. (Pubitemid 46074405)
72. Piazza M, Pinel P, Le Bihan D, Dehaene S (2007) A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron 53:293-305. (Pubitemid 46074397)
73. Cantlon JF, et al. (2009) The neural development of an abstract concept of number. J Cogn Neurosci 21:2217-2229.
74. Ansari D, Garcia N, Lucas E, Hamon K, Dhital B (2005) Neural correlates of symbolic number processing in children and adults. Neuroreport 16:1769-1773. (Pubitemid 41547044)
75. Emerson RW, Cantlon JF (2012) Early math achievement and functional connectivity in the fronto-parietal network. Dev Cogn Neurosci 2:S139-S151.
76. Preuss TM (2007) Evolutionary specializations of primate brain systems. Primate Origins: Adaptations and Evolution, eds Ravosa MJ, Dagosto M (Springer, New York), pp 625-675.
77. Miller EK, Freedman DJ, Wallis JD (2002) The prefrontal cortex: Categories, concepts and cognition. Philos Trans R Soc Lond B Biol Sci 357:1123-1136. (Pubitemid 34973722)
78. Nieder A (2009) Prefrontal cortex and the evolution of symbolic reference. Curr Opin Neurobiol 19:99-108.
79. Rivera SM, Reiss AL, Eckert MA, Menon V (2005) Developmental changes in mental arithmetic: Evidence for increased functional specialization in the left inferior parietal cortex. Cereb Cortex 15:1779-1790. (Pubitemid 41447043)
80. Schlaggar BL, et al. (2002) Functional neuroanatomical differences between adults and school-age children in the processing of single words. Science 296:1476-1479. (Pubitemid 34553094)
81. Diester I, Nieder A (2007) Semantic associations between signs and numerical categories in the prefrontal cortex. PLoS Biol 5:e294.