On the relation between skilled performance of simple division and multiplication

Journal of Experimental Psychology: Learning Memory and Cognition

Volumn 23, Issue 5, 1997, Pages 1140-1159

  Campbell, Jamie I D ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ADOLESCENT; ADULT; ARTICLE; ATTENTION; FEMALE; HUMAN; LEARNING; MALE; MATHEMATICS; PROBLEM SOLVING; REACTION TIME; RECALL;

ADOLESCENT; ADULT; ASSOCIATION LEARNING; ATTENTION; FEMALE; HUMANS; MALE; MATHEMATICS; MENTAL RECALL; PROBLEM SOLVING; REACTION TIME; REVERSAL LEARNING;

EID: 0031230666     PISSN: 02787393     EISSN: None     Source Type: Journal    
DOI: 10.1037/0278-7393.23.5.1140     Document Type: Article

References (39)

1. Anderson, J. R. (1981). Interference: The relationship between response latency and response accuracy. Journal of Experimental Psychology: Human Learning and Memory, 7, 326-343.
2. Arbuthnott, K. (1996). To repeat or not to repeat: Repetition facilitation and inhibition in sequential retrieval. Journal of Experimental Psychology: General, 125, 261-283.
3. Arbuthnott, K., & Campbell, J. I. D. (1996). Effects of operand order and problem repetition on error priming in cognitive arithmetic. Canadian Journal of Experimental Psychology, 50, 182-195.
4. Ashcraft, M. H. (1992). Cognitive arithmetic: A review of theory and data. Cognition, 44, 75-106.
5. Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3-34.
6. Campbell, J. I. D. (1987). Network interference and mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition, 13, 109-123.
7. Campbell, J. I. D. (1991). Conditions of error priming in number-fact retrieval. Memory & Cognition, 19, 197-209.
8. Campbell, J. I. D. (1994). Architectures for numerical cognition. Cognition, 53, 1-44.
9. Campbell, J. I. D. (1995). Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition, 1, 121-164.
10. Campbell, J. I. D. (in press). Reading-based interference in cognitive arithmetic. Canadian Journal of Experimental Psychology.
11. Campbell, J. I. D., & Arbuthnott, K. D. (1996). Inhibitory processes in sequential retrieval: Evidence from variable-lag repetition priming. Brain and Cognition, 30, 59-80.
12. Campbell, J. I. D., & Clark, J. M. (1989). Time course of error priming in number-fact retrieval: Evidence for excitatory and inhibitory mechanisms. Journal of Experimental Psychology: Learning, Memory, and Cognition, 15, 920-929.
13. Campbell, J. I. D., & Graham, D. J. (1985). Mental multiplication skill: Structure, process and acquisition. Canadian Journal of Psychology, 39, 338-366.
14. Campbell, J. I. D., & Tarling, D. (1996). Retrieval processes in arithmetic production and verification. Memory & Cognition, 24, 156-172.
15. Cipolotti, L., & de Lacy Costello, A. (1995). Selective impairment for simple division. Cortex, 31, 433-449.
16. Dehaene, S., & Cohen, L. (1991). Two mental calculation systems: A case study of severe acalculia with preserved approximation. Neuropsychologia, 29, 1045-1074.
17. Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
18. Geary, D. C. (1994). Children's mathematical development. Washington, DC: American Psychological Association.
19. Geary, D. C. (1996). The problem size effect in mental addition: Developmental and cross-national trends. Mathematical Cognition, 2, 63-93.
20. Geary, D. C., Frensch, P. A., & Wiley, J. G. (1993). Simple and complex mental subtraction: Strategy choice and speed-of-processing differences in younger and older adults. Psychology and Aging, 8, 242-256.
21. Geary, D. C., Widaman, K. F., & Little, T. D. (1986). Cognitive addition and multiplication: Evidence for a single memory network. Memory & Cognition, 14, 478-487.
22. Geary, D. C., & Wiley, J. G. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in young and elderly adults. Psychology and Aging, 6, 474-483.
23. Graham, D. J., & Campbell, J. I. D. (1992). Network interference and number-fact retrieval: Evidence from children's alphaplication. Canadian Journal of Psychology, 46, 65-91.
24. Hittmair-Delazer, M., Semenza, C., & Denes, G. (1994). Concepts and facts in calculation. Brain, 117, 715-728.
25. Kirsner, K., & Speelman, C. (1996). Skill acquisition and repetition priming: One principle, many processes. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 563-575.
26. Koshmider, J. W., & Ashcraft, M. H. (1991). The development of children's mental multiplication skills. Journal of Experimental Child Psychology, 51, 53-89.
27. LeFevre, J.-A., Bisanz, J., Daley, K. E., Buffone, L., Greenham, S. L., & Sadesky, G. S. (1996). Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General, 125, 284-306.
28. LeFevre, J.-A., Sadesky, G. S., & Bisanz, J. (1996). Selection procedures in mental addition: Reassessing the problem-size effects in adults. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 216-230.
29. Lemaire, P., & Siegler, R. S. (1995). Four aspects of strategic change: Contributions to children's learning of multiplication. Journal of Experimental Psychology: General, 124, 83-97.
30. McCloskey, M., Harley, W., & Sokol, S. M. (1991). Models of arithmetic fact retrieval: An evaluation in light of findings from normal and brain-damaged subjects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 377-397.
31. McCloskey, M., Sokol, S. M., & Goodman, R. A. (1986). Cognitive processes in verbal-number production: Inferences from the performance of brain-damaged subjects. Journal of Experimental Psychology: General, 115, 307-330.
32. Rickard, T. C., & Bourne, L. E., Jr. (1996). Some tests of an identical elements model of basic arithmetic skills. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 1281-1295.
33. Rickard, T. C., Healy, A. F., & Bourne, L. E., Jr. (1994). On the representation of arithmetic facts: Operand order, symbol, and operation transfer effects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 1139-1153.
34. Siegler, R. S. (1988). Strategy choice procedures and the development of multiplication skill. Journal of Experimental Psychology: General, 117, 258-275.
35. Siegler, R. S. (1989). Hazards of mental chronometry: An example from children's subtraction. Journal of Educational Psychology, 81, 497-506.
36. Wheeldon, L. R., & Monsell, S. (1994). Inhibition of spoken word production by priming a semantic competitor. Journal of Memory and Language, 33, 332-356.
37. Widaman, K. F., & Little, T. D. (1992). The development of skill in mental arithmetic: An individual differences perspective. In J. I. D. Campbell (Ed.), The nature and origins of mathematical skills (pp. 189-253). Amsterdam: Elsevier Science.
38. Zbrodoff, N. J. (1995). Why is 9 + 7 harder than 2 + 3? Strength and interference as explanations for the problem-size effect. Memory & Cognition, 23, 689-700.
39. Zbrodoff, N. J., & Logan, G. D. (1990). On the relation between production and verification tasks in the psychology of simple arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 83-97.