Number sense across the lifespan as revealed by a massive Internet-based sample

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

Volumn 109, Issue 28, 2012, Pages 11116-11120

  Halberda, Justin ^a   Ly, Ryan ^a   Wilmer, Jeremy B ^b   Naiman, Daniel Q ^a   Germine, Laura ^c  

^a Johns Hopkins University   (United States)

^b WELLESLEY COLLEGE   (United States)

^c HARVARD UNIVERSITY   (United States)

Author keywords

Aging; Analog magnitude; Approximate number system; Cognitive development; Ensemble representation

Indexed keywords

ACADEMIC ACHIEVEMENT; AGE DISTRIBUTION; APPROXIMATE NUMBER SYSTEM; ARTICLE; EVOLUTION; HUMAN; INTERNET; INTRAPARIETAL SULCUS; LIFESPAN; MATHEMATICAL COMPUTING; MATHEMATICS; NERVE CELL; NONHUMAN; PERFORMANCE; PRIORITY JOURNAL; STUDENT; TREND STUDY;

ADOLESCENT; ADULT; AGE FACTORS; AGED; AGED, 80 AND OVER; CHILD; COGNITION; HUMANS; INDIVIDUALITY; INTERNET; MATHEMATICS; MIDDLE AGED; NEURONS; REPRODUCIBILITY OF RESULTS; SOFTWARE;

ANIMALIA;

EID: 84863938549     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1200196109     Document Type: Article

References (39)

1. Spelke ES, Kinzler KD (2007) Core knowledge. Dev Sci 10:89-96.
2. Carey S (2009) The Origin of Concepts (Oxford Univ Press, New York).
3. Dehaene S (1997) The Number Sense: How the Mind Creates Mathematics (Oxford Univ Press, New York).
4. Gallistel CR (1989) Animal cognition: The representation of space, time and number. Annu Rev Psychol 40:155-189.
5. Dehaene S, Dehaene-Lambertz G, Cohen L (1998) Abstract representations of numbers in the animal and human brain. Trends Neurosci 21:355-361. (Pubitemid 28341964)
6. Libertus ME, Brannon EM (2009) Behavioral and neural basis of number sense in infancy. Curr Dir Psychol Sci 18:346-351.
7. Izard V, Sann C, Spelke ES, Streri A (2009) Newborn infants perceive abstract numbers. Proc Natl Acad Sci USA 106:10382-10385.
8. Hubbard EM, et al. (2008) The evolution of numerical cognition: From number neurons to linguistic quantifiers. J Neurosci 28:11819-11824.
9. Halberda J, Feigenson L (2008) Developmental change in the acuity of the "number sense": The Approximate Number System in 3-, 4-, 5-, and 6-year-olds and adults. Dev Psychol 44:1457-1465.
10. Piazza M, et al. (2010) Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition 116:33-41.
11. Piazza M, Mechelli A, Price CJ, Butterworth B (2006) Exact and approximate judgements of visual and auditory numerosity: An fMRI study. Brain Res 1106:177-188. (Pubitemid 44163318)
12. Feigenson L, Dehaene S, Spelke ES (2004) Core systems of number. Trends Cogn Sci 8: 307-314. (Pubitemid 38887447)
13. Pica P, Lemer C, Izard V, Dehaene S (2004) Exact and approximate arithmetic in an Amazonian indigene group. Science 306:499-503. (Pubitemid 39372452)
14. Gordon P (2004) Numerical cognition without words: Evidence from Amazonia. Science 306:496-499.
15. Nieder A, Dehaene S (2009) Representation of number in the brain. Annu Rev Neurosci 32:185-208.
16. Castelli F, Glaser DE, Butterworth B (2006) Discrete and analogue quantity processing in the parietal lobe: A functional MRI study. Proc Natl Acad Sci USA103-4693-4698.
17. Cappelletti M, Muggleton N, Walsh V (2009) Quantity without numbers and numbers without quantity in the parietal cortex. Neuroimage 46:522-529.
18. Roggeman C, Santens S, Fias W, Verguts T (2011) Stages of nonsymbolic number processing in occipitoparietal cortex disentangled by fMRI adaptation. J Neurosci 31:7168-7173.
19. Izard V, Dehaene-Lambertz G, Dehaene S (2008) Distinct cerebral pathways for object identity and number in human infants. PLoS Biol 6:e11.
20. 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)
21. Gilmore CK, McCarthy SE, Spelke ES (2007) Symbolic arithmetic knowledge without instruction. Nature 447:589-591. (Pubitemid 46868044)
22. Butterworth B, Varma S, Laurillard D (2011) Dyscalculia: From brain to education. Science 332:1049-1053.
23. Halberda J, Mazzocco MM, Feigenson L (2008) Individual differences in non-verbal number acuity correlate with maths achievement. Nature 455:665-668.
24. Libertus ME, Feigenson L, Halberda J (2011) Preschool acuity of the approximate number system correlates with school math ability. Dev Sci 14:1292-1300.
25. Mazzocco MMM, Feigenson L, Halberda J (2011) Preschoolers' precision of the approximate number system predicts later school mathematics performance. PLoS ONE 6:e23749.
26. Gosling SD, Vazire S, Srivastava S, John OP (2004) Should we trust web-based studies? A comparative analysis of six preconceptions about internet questionnaires. Am Psychol 59:93-104. (Pubitemid 38318025)
27. McGraw KO, Tew MD, Williams JE (2000) The integrity of Web-delivered experiments: Can you trust the data? Psychol Sci 11:502-506.
28. Krantz JH, Dalal R (2000) Validity of web-based psychological research. Psychological Experiments on the Internet, ed Birnbaum MH (Academic, San Diego).
29. Germine LT, Duchaine B, Nakayama K (2011) Where cognitive development and aging meet: Face learning ability peaks after age 30. Cognition 118:201-210.
30. Wilmer JB, et al. (2010) Human face recognition ability is specific and highly heritable. Proc Natl Acad Sci USA 107:5238-5241.
31. Golder SA, Macy MW (2011) Diurnal and seasonal mood vary with work, sleep, and daylength across diverse cultures. Science 333:1878-1881.
32. Henrich J, Heine SJ, Norenzayan A (2010) The weirdest people in the world? Behav Brain Sci 33:61-83.
33. The College Board (2011) Why Take the SAT. Available at http://sat.collegeboard.org/about-tests/sat/why-take-the-test. Accessed February 2, 2012.
34. Kranzler JH, Jensen AR (1989) Inspection time and intelligence: A meta-analysis. Intelligence 13:329-347.
35. Frey MC, Detterman DK (2004) Scholastic assessment or g? The relationship between the Scholastic Assessment Test and general cognitive ability. Psychol Sci 15:373-378. (Pubitemid 38782975)
36. Dewind NK, Brannon EM (2012) Malleability of the approximate number system: Effects of feedback and training. Front Hum Neurosci 6:68.
37. Lyons IM, Beilock SL (2011) Numerical ordering ability mediates the relation between number-sense and arithmetic competence. Cognition 121:256-261.
38. Germine LT, Hooker CI (2011) Face emotion recognition is related to individual differences in psychosis-proneness. Psychol Med 41:937-947.
39. Germine L, et al. (2010) Downloadable science: Comparing data from internet and lab-based psychology experiments. J Vis 10:682.