Bidirectional Associations in Multiplication Memory: Conditions of Negative and Positive Transfer

Journal of Experimental Psychology: Learning Memory and Cognition

Volumn 34, Issue 3, 2008, Pages 546-555

  Campbell, Jamie I D ^a   Robert, Nicole D ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

arithmetic; factoring; identical elements; multiplication; transfer

Indexed keywords

ADOLESCENT; ADULT; ARTICLE; FEMALE; HUMAN; LEARNING; LONG TERM MEMORY; MALE; MATHEMATICS; PROBLEM SOLVING; RECALL;

ADOLESCENT; ADULT; FEMALE; HUMANS; MALE; MATHEMATICS; MENTAL RECALL; PRACTICE (PSYCHOLOGY); PROBLEM SOLVING; RETENTION (PSYCHOLOGY); TRANSFER (PSYCHOLOGY);

EID: 43549118616     PISSN: 02787393     EISSN: None     Source Type: Journal    
DOI: 10.1037/0278-7393.34.3.546     Document Type: Article

References (29)

1. Anderson J.R. The Adaptive Character of Thought (1990), Erlbaum, Hillsdale, NJ
2. Anderson M.C., Bjork E.L., and Bjork R.A. Retrieval-induced forgetting: Evidence for a recall-specific mechanism. Psychonomic Bulletin & Review 7 (2000) 522-530
3. Anderson M.C., and Green C. Suppressing unwanted memories by executive control. Nature 410 (2001) 131-134
4. Anderson M.C., Green C., and McCulloch K.C. Similarity and inhibition in long-term memory: Evidence for a two-factor theory. Journal of Experimental Psychology: Learning, Memory, and Cognition 26 (2000) 1141-1159
5. Ashcraft M.H. Cognitive arithmetic: A review of theory and data. Cognition 44 (1992) 75-106
6. Ashcraft M.H. Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition 1 (1995) 3-34
7. Butterworth B. What counts: How every brain is hardwired for math (1999), Free Press, New York
8. Campbell J.I.D. Division by multiplication. Memory & Cognition 27 (1999) 245-275
9. Campbell J.I.D. Handbook of mathematical cognition (2005), Psychology Press, New York
10. Campbell J.I.D., Fuchs-Lacelle S., and Phenix T.L. Identical elements model of arithmetic memory: Extension to addition and subtraction. Memory & Cognition 34 (2006) 633-647
11. Campbell J.I.D., and Xue Q. Cognitive arithmetic across cultures. Journal of Experimental Psychology: General 130 (2001) 299-315
12. Dehaene S. The number sense: How the mind creates mathematics (1997), Oxford University Press, New York
13. LeFevre J., Bisanz J., and Mrkonjic L. Cognitive arithmetic: Evidence for obligatory activation of arithmetic facts. Memory & Cognition 16 (1988) 45-53
14. LeFevre J., and Morris J. More on the relation between division and multiplication in simple arithmetic: Evidence for mediation of division solutions via multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition 12 (1999) 151-175
15. LeFevre J., Sadesky G.S., and Bisanz J. Selection of procedures in mental addition: Reassessing the problem size effect in adults. Memory & Cognition 27 (1996) 803-812
16. Masson M.E.J., and Loftus G.R. Using confidence intervals for graphically based data interpretation. Canadian Journal of Experimental Psychology 57 (2003) 203-220
17. Mauro D.G., LeFevre J., and Morris J. Effects of format on division and multiplication performance: Division via multiplication-based representations. Journal of Experimental Psychology: Learning, Memory, and Cognition 29 (2003) 163-170
18. Phenix T.L., and Campbell J.I.D. Effects of multiplication practice on product verification: Integrated structures model or retrieval induced forgetting?. Memory & Cognition 32 (2004) 324-335
19. Pirolli P., and Anderson J.R. The role of practice in fact retrieval. Journal of Experimental Psychology: Learning, Memory, and Cognition 11 (1985) 136-153
20. Rickard T.C. A revised identical elements model of arithmetic fact representation. Journal of Experimental Psychology: Learning, Memory, and Cognition 31 (2005) 250-257
21. Rickard T.C., and Bourne Jr. L.E. Some tests of an identical elements model of basic arithmetic skills. Journal of Experimental Psychology: Learning, Memory, and Cognition 22 (1996) 1281-1295
22. Rickard T.C., Healy A.F., and Bourne Jr. L.E. On the representation of arithmetic facts: Operand order, symbol, and operation transfer effects. Journal of Experimental Psychology: Learning, Memory, and Cognition 20 (1994) 1139-1153
23. Rusconi E., Galfano G., Rebonato E., and Umiltà C. Bidirectional links in the network of multiplication facts. Psychological Research 70 (2006) 32-42
24. Schmidt R.A., and Bjork R.A. New conceptualizations of practice: Common principles in three paradigms suggest new concepts for training. Psychological Science 3 (1992) 207-216
25. Singley M.K., and Anderson J.R. The transfer of cognitive skill (1989), Harvard University Press, Cambridge, MA
26. Thibodeau M.H., LeFevre J.A., and Bisanz J. The extension of the interference effect to multiplication. Canadian Journal of Experimental Psychology 50 (1996) 393-396
27. Verguts T., and Fias W. Interacting neighbors: A connectionist model of retrieval in single-digit multiplication. Memory & Cognition 33 (2005) 1-16
28. Zbrodoff N.J., and Logan G.D. On the relation between production and verification tasks in the psychology of simple arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition 16 (1990) 83-97
29. Zbrodoff N.J., and Logan G.D. What everyone finds: The problem size effect. In: Campbell J.I.D. (Ed). Handbook of mathematical cognition (2005), Psychology Press, New York 331-346