Working memory as a predictor of addition skills and addition strategies in children

Cahiers de Psychologie Cognitive

Volumn 22, Issue 1, 2004, Pages 3-25

  Noël, Marie Pascale ^a   Seron, Xavier ^a   Trovarelli, Fabrizio ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Addition; Central executive; Counting; Phonological loop; Retrieval; Strategies; Working memory

Indexed keywords

EID: 18244417158     PISSN: 02499185     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (37)

1. Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75-106.
2. Baddeley, A. D. (1986). Working memory. Oxford: Oxford University Press.
3. Badian, N. A. (1983). Dyscalculia and nonverbal disorders of learning. In H. R. Myklebust (Ed.), Progress in learning disabilities (vol. 5, pp. 235-264). New York: Stratton.
4. Bull, R., & Johnston (1997). Children's arithmetical difficulties: Contributions from processing speed, item identification and WM. Journal of Experimental and Child Psychology, 65, 1-24.
5. Daneman, M., & Carpenter, P. A. (1980). Individual differences in working memory and reading. Journal of Verbal Behavior, 19, 450-466.
6. Dowker, A. (1998). Individual differences in normal arithmetical development. In C. Donlan (Ed.), The development of mathematical skills (pp. 275-302). Hove, UK: Psychology Press.
7. Fleischner, F. E., Garnett, K., & Shepard, M. (1982). Proficiency in arithmetic basic fact computation by learning disabled and nondisabled children. Focus on Learning Problems in Mathematics, 4, 47-55.
8. Fuson, K. C. (1988). Children's counting and concepts of number. New York: Springer-Verlag.
9. Gathercole, S. E. (1998). The development of memory. Journal of Child Psychology and Psychiatry, 39, 3-27.
10. Gathercole, S. E. (1999). Cognitive approaches to the development of short-term memory. Trends in Cognitive Sciences, 3, 410-419.
11. Geary, D. C. (1990). A componential analysis of an early learning deficit in mathematics. Journal of Experimental Child Psychology, 49, 363-383.
12. Geary, D.C. (1993). Mathematical disabilities: Cognitive, neuropsychological and genetic components. Psychological Bulletin, 114, 345-362.
13. Geary, D. C. (1994) Children's mathematical development. Washington, DC: American Psychological Association.
14. Geary, D. C., Bow-Thomas, C. C., & Yao, Y. (1992). Counting knowledge and skill in cognitive addition: a comparison of normal and mathematically disabled-children. Journal of Experimental Child Psychology, 54, 372-391.
15. Geary, D. C., Brown, S. C., & Samaranayake, V. A. (1991). Cognitive addition: A short-longitudinal study of strategy-choice and speed-of-processing differences in normal and mathematically disabled children. Developmental Psychology, 27, 787-797.
16. Geary, D. C., Hamson, C. O., & Hoard, M. K. (2000). Numerical and arithmetical cognition: a longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental Child Psychology, 77, 236-263.
17. Geary, D. C., Hoard, M. K., & Hamson, C.,O. (1999). Numerical and arithmetical cognition: patterns of functions and deficits in children at risk for a mathematical disability. Journal of Experimental Child Psychology, 74, 213-239.
18. Geary, D. C., Widaman, K. F., Little, T. D., & Cormier, P. (1987). Cognitive addition: comparison of learning disabled and academically normal elementary school children. Cognitive Development, 2, 249-269.
19. Healy, A. F., & Nairne, J. S. (1985). WM processes in counting. Cognitive Psychology, 17, 417-444.
20. Hecht, S. A., Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (2001). The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: a longitudinal study from second to fifth grades. Journal of Experimental Child Psychology, 79, 192-227.
21. Hitch, G. J., & McAuley, E. (1991). Working memory in children with specific arithmetical learning difficulties. Bristish Journal of Psychology, 82, 375-386.
22. Kail, R. (1991). Developmetnal change in speed of processing during childhood and adolescence. Psychological Bulletin, 109, 490-501
23. Kail, R. (1992). Processing speed, speech rate and memory. Developmental Psychology, 28, 899-904.
24. Kail, R. (1997). Phonological skill and articulation time independently contribute to the development of memory span. Journal of Experimental Child Psychology, 67, 57-68.
25. Kail, R., & Hall, L. K. (1994). Processing speed, naming speed and reading. Developmental Psychology, 30, 949-954.
26. Lefevre, J-A., Sadesky, G. S., & Bisanz, J. (1996). Selection of procedures in mental addition: Reassessing the problem-size effect in adults. Journal of Experimental Psychology: Learning, Memory and Cognition, 22, 216-230.
27. Lewis, C., Hitch, G. J., & Walker, P. (1994). The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- and 10-year-old boys and girls. Journal of Child Psychology and Psychiatry, 35, 283-292.
28. Logan, G. D. (1988). Toward an instance theory of automatization. Psychological Review, 95, 492-527.
29. Logie, R. H., & Badeley, A. D. (1987). Cognitive processes in counting. Journal of Experimental Psychology, Learning, Memory and Cognition, 13, 310-326
30. McLean, J. F., & Hitch, G. J. (1999). Working memory impairments in children with specific arithmetic learning difficulties. Journal of Experimental Child Psychology, 74, 240-260.
31. Roodenrys, S., Hulme, C., & Brown, G. (1993). Development of WM span: Separable effects of speech rate and long-term memory. Journal of Experimental Child Psychology, 56, 431-442.
32. Siegel, L. (1994). Working memory and reading: a life-span perspective. International Journal of Behavioral Development, 17, 109-124.
33. Siegel, L. S., & Ryan, E. B. (1989). The development of working memory in normally achieving and subtypes of learning disabled children. Child Development, 60, 973-980.
34. Siegler, R. S. (1987). The perils of averaging data over strategies: an example from children's addition. Journal of Experimental Psychology: General, 116, 250-264.
35. Siegler, R. S. (1999). Strategic development. Trends in Cognitive Sciences, 3, 430-435.
36. Thevenot, C., Barrouillet, P., & Fayol, M. (2001). Algorithmic solution of arithmetic problems and operands-answer associations in long-term memory. The Quarterly Journal of Experimental Psychology, 54A, 599-611.
37. Wagner, R. K., Torgesen, J. K., & Rashotte, C. A. (1994). Development of reading-related phonological processing abilities: New evidence of bidirectional causality from a latent variable longitudinal study. Developmental Psychology, 30, 73-87.