Beyond quantity: Individual differences in working memory and the ordinal understanding of numerical symbols

Cognition

Volumn 113, Issue 2, 2009, Pages 189-204

  Lyons, Ian M ^a   Beilock, Sian L ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Individual differences; Numerical cognition; Numerical symbols; Ordinal processing; Symbol learning; Working memory

Indexed keywords

ADULT; ARTICLE; DECISION MAKING; FEMALE; HUMAN; INDIVIDUALITY; LEARNING; MALE; MENTAL FUNCTION; NORMAL HUMAN; PRIORITY JOURNAL; TASK PERFORMANCE; WORKING MEMORY;

ADOLESCENT; ADULT; COGNITION; FEMALE; HUMANS; INDIVIDUALITY; MALE; MEMORY, SHORT-TERM; NEUROPSYCHOLOGICAL TESTS; PATTERN RECOGNITION, VISUAL; PHOTIC STIMULATION; PROBLEM SOLVING; PSYCHOMOTOR PERFORMANCE; REACTION TIME;

EID: 70349843296     PISSN: 00100277     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cognition.2009.08.003     Document Type: Article

References (44)

1. Ansari D. Effects of development and enculturation on number representation in the brain. Nature Reviews Neuroscience 9 4 (2008) 278-291
2. Ashcraft M.H., and Krause J.A. Working memory, math performance, and math anxiety. Psychonomic Bulletin and Review 14 2 (2007) 243-248
3. Beilock S.L., and Decaro M.S. From poor performance to success under stress: working memory, strategy selection, and mathematical problem solving under pressure. Journal of Experimental Psychology: Learning, Memory and Cognition 33 6 (2007) 983-998
4. Booth J.L., and Siegler R.S. Numerical magnitude representations influence arithmetic learning. Child Development 79 4 (2008) 1016-1031
5. Buckley P.B., and Gillman C.B. Comparisons of digits and dot patterns. Journal of Experimental Psychology 103 6 (1974) 1131-1136
6. Conway A.R., and Engle R. Working Memory and Retrieval: A resource-dependent inhibition model. Journal of Experimental Psychology: General 123 4 (1994) 154-173
7. Conway A.R., Kane M.J., Bunting M.F., Hambrick D.Z., Wilhelm O., and Engle R.W. Working memory span tasks: A methodological review and user's guide. Psychonomic Bulletin and Review 12 5 (2005) 769-786
8. De Neys W. Dual processing in reasoning: Two systems but one reasoner. Psychological Science 17 5 (2006) 428-433
9. DeCaro M.S., Carlson K.D., Thomas R.D., and Beilock S.L. When and how less is more: Reply to Tharp & Pickering. Cognition 111 3 (2009) 391-403
10. Decaro M.S., Thomas R.D., and Beilock S.L. Individual differences in category learning: Sometimes less working memory capacity is better than more. Cognition 107 1 (2008) 284-294
11. Dehaene S. The number sense: How the mind creates mathematics (1997), Oxford University Press, New York
12. Dehaene S., and Changeaux J.P. Development of elementary numerical abilities - A neuronal model. Journal of Cognitive Neuroscience 5 4 (1993) 390-407
13. Dehaene S., Piazza M., Pinel P., and Cohen L. Three parietal circuits for number processing. Cognitive Neuropsychology 20 3-6 (2003) 487-506
14. Diester I., and Nieder A. Semantic associations between signs and numerical categories in the prefrontal cortex. PLoS Biology 5 11 (2007) e294
15. Engle R.W., Tuholski S.W., Laughlin J.E., and Conway A.R. Working memory, short-term memory, and general fluid intelligence: A latent-variable approach. Journal of Experimental Psychology: General 128 3 (1999) 309-331
16. Evans J.St.B. In two minds: Dual-process accounts of reasoning. Trends in Cognitive Sciences 7 10 (2003) 454-459
17. Fias W., Lammertyn J., Caessens B., and Orban G.A. Processing of abstract ordinal knowledge in the horizontal segment of the intraparietal sulculs. Journal of Neuroscience 27 33 (2007) 8952-8956
18. Gallistel C.R., and Gelman R. Preverbal and verbal counting and computation. Cognition 44 1-2 (1992) 43-74
19. Gelman R., and Gallistel C.R. The child's understanding of number (1978), Harvard University Press, Cambridge, MA
20. Gray J.R., Chabris C.F., and Braver T.S. Neural mechanisms of general fluid intelligence. Nature Neuroscience 6 3 (2003) 316-322
21. Imbo I., Vandierendonck A., and Vergauwe E. The role of working memory in carrying and borrowing. Psychological Research 71 4 (2007) 467-483
22. Jacob S.N., and Nieder A. The ABC of cardinal and ordinal number representations. Trends in Cognitive Sciences 12 2 (2008) 41-43
23. Jou J. Multiple number and letter comparison: Directionality and accessibility in numeric and alphabetic memories. The American Journal of Psychology 116 4 (2003) 543-579
24. Kane M.J., and Engle R.W. The role of prefrontal cortex in working-memory capacity, executive attention, and general fluid intelligence: An individual-differences perspective. Psychonomic Bulletin and Review 9 4 (2002) 637-671
25. LeFevre J.-A., DeStefano D., Coleman B., and Shanahan T. Mathematical cognition and working memory. In: Campbell J.I. (Ed). Handbook of mathematical of cognition (2004), Psychology Press, New York
26. Leth-Steensen C., and Marley A.A. A model of response time effects in symbolic comparison. Psychological Review 107 1 (2000) 62-100
27. Logie R.H., Gilhooly K.J., and Wynn V. Counting on working memory in arithmetic problem solving. Memory and Cognition 22 4 (1994) 395-410
28. Lyons I.M., and Ansari D. The cerebral basis of mapping nonsymbolic numerical quantities onto abstract symbols: An fMRI training study. Journal of Cognitive Neuroscience 21 9 (2009) 1720-1735
29. Miyake A., and Shah P. Models of working memory: mechanisms of active maintenance and executive control (1999), Cambridge University Press, New York
30. Moyer R.S., and Landauer T.K. Time required for judgments of numerical inequality. Nature 215 109 (1967) 1519-1520
31. Nieder A., and Merten K. A labeled-line code for small and large numerosities in the monkey prefrontal cortex. Journal of Neuroscience 27 22 (2007) 5986-5993
32. Opfer J.E., and Siegler R.S. Representational change and children's numerical estimation. Cognitive Psychology 55 3 (2007) 169-195
33. Pica P., Lemer C., Izard V., and Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 306 5695 (2004) 499-503
34. Roggeman C., Verguts T., and Fias W. Priming reveals differential coding of symbolic and non-symbolic quantities. Cognition 105 2 (2006) 380-394
35. Stanovich K.E., and West R.F. Individual differences in reasoning: Implications for the rationality debate?. Behavioral and Brain Sciences 23 5 (2000) 645-726
36. Tuholski S.W., Engle R.W., and Baylis G.C. Individual differences in working memory capacity and enumeration. Memory and Cognition 29 3 (2001) 484-492
37. Turconi E., Campbell J.I., and Seron X. Numerical order and quantity processing in number comparison. Cognition 98 3 (2006) 273-285
38. Tzelgov J., and Ganor-Stern D. Automaticity in processing ordinal information. In: Campbell J.I. (Ed). Handbook of mathematical of cognition (2004), Psychology Press, New York
39. Tzelgov J., Yehene V., Kotler L., and Alon A. Automatic comparison of artificial digits never compared: Learning linear ordering relations. Journal of Experimental Psychology: Learning, Memory and Cognition 26 1 (2000) 103-120
40. Unsworth N., Heitz R.P., Schrock J.C., and Engle R.W. An automated version of the operation span task. Behavior Research Methods 37 3 (2005) 498-505
41. Van Opstal F., Verguts T., Orban G.A., and Fias W. A hippocampal-parietal network for learning an ordered sequence. NeuroImage 40 1 (2008) 333-341
42. Verguts T., and Fias W. Representation of number in animals and humans: a neural model. Journal of Cognitive Neuroscience 16 9 (2004) 1493-1504
43. Verhaeghen P., and Salthouse T.A. Meta-analyses of age-cognition relations in adulthood: estimates of linear and nonlinear age effects and structural models. Psychological Bulletin 122 3 (1997) 231-249
44. Wager T.D., and Smith E.E. Neuroimaging studies of working memory: a meta-analysis. Cognitive, Affective and Behavioral Neuroscience 3 4 (2003) 255-274