Subtraction by addition

Memory and Cognition

Volumn 36, Issue 6, 2008, Pages 1094-1102

  Campbell, Jamie I D ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ANALYSIS OF VARIANCE; ANALYTICAL ERROR; ARTICLE; CONTROLLED STUDY; FEMALE; HUMAN; LATENT PERIOD; MALE; MATHEMATICAL COMPUTING; MEMORY; SELF REPORT;

ADOLESCENT; ADULT; FEMALE; HUMANS; MALE; MATHEMATICS; MENTAL RECALL; PROBLEM SOLVING; REACTION TIME;

EID: 54949129105     PISSN: 0090502X     EISSN: None     Source Type: Journal    
DOI: 10.3758/MC.36.6.1094     Document Type: Article

References (27)

1. ASHCRAFT, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75-106.
2. ASHCRAFT, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3-34.
3. BARROUILLET, P., MIGNON, M., & THEVENOT, C. (2008). Strategies in subtraction problem solving in children. Journal of Experimental Child Psychology, 99, 233-251.
4. CAMPBELL, J. I. D. (1995). Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition, 1, 121-164.
5. CAMPBELL, J. I. D. (1997). Reading-based interference in cognitive arithmetic. Canadian Journal of Experimental Psychology, 51, 74-81.
6. CAMPBELL, J. I. D. (1999). Division by multiplication. Memory & Cognition, 27, 791-802.
7. CAMPBELL, J. I. D. (Ed.) (2005). Handbook of mathematical cognition. New York: Psychology Press.
8. CAMPBELL, J. I. D., FUCHS-LACELLE, S., & PHENIX, T. L. (2006). Identical elements model of arithmetic memory: Extension to addition and subtraction. Memory & Cognition, 34, 633-647.
9. CAMPBELL, J. I. D., & GRAHAM, D. J. (1985). Mental multiplication skill: Structure, process, and acquisition. Canadian Journal of Psychology, 39, 338-366.
10. CAMPBELL, J. I. D., & GUNTER, R. (2002). Calculation, culture, and the repeated operand effect. Cognition, 86, 71-96.
11. CAMPBELL, J. I. D., & ROBERT, N. D. (2008). Bidirectional associations in multiplication memory: Conditions of negative and positive transfer. Journal of Experiment Psychology: Learning, Memory, & Cognition, 34, 546-555.
12. CAMPBELL, J. I. D., & TIMM, J. C. (2000). Adults' strategy choices for simple addition: Effects of retrieval interference. Psychonomic Bulletin & Review, 7, 692-699.
13. CAMPBELL, J. I. D., & XUE, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130, 299-315.
14. 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 & Aging, 8, 242-256.
15. GEARY, D. C., & WILEY, J. G. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in young and elderly adults. Psychology & Aging, 6, 474-483.
16. HECHT, S. A. (1999). Individual solution processes while solving addition and multiplication math facts in adults. Memory & Cognition, 27, 1097-1107.
17. LEFEVRE, J., 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.
18. LEFEVRE, J., DESTEFANO, D., PENNER-WILGER, M., & DALEY, K. E. (2006). Selection of procedures in mental subtraction. Canadian Journal of Experimental Psychology, 60, 209-220.
19. LEFEVRE, J., & MORRIS, J. (1999). More on the relation between division and multiplication in simple arithmetic: Evidence for mediation of division solutions via multiplication. Memory & Cognition, 27, 803-812.
20. LEFEVRE, J., 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, & Cognition, 22, 216-230.
21. MAURO, D. G., LEFEVRE, J., & MORRIS, J. (2003). Effects of problem format on division and multiplication performance: Division facts are mediated via multiplication-based representations. Journal of Experimental Psychology: Learning, Memory, & Cognition, 29, 163-170.
22. RICKARD, T. C. (2005). A revised identical elements model of arithmetic fact representation. Journal of Experimental Psychology: Learning, Memory, & Cognition, 31, 250-257.
23. ROBINSON, K. M. (2001). The validity of verbal reports in children's subtraction. Journal of Educational Psychology, 93, 211-222.
24. RUSCONI, E., GALFANO, G., REBONATO, E., & UMILTÀ, C. (2006). Bidirectional links in the network of multiplication facts. Psychological Research, 70, 32-42.
25. SEYLER, D. J., KIRK, E. P., & ASHCRAFT, M. H. (2003). Elementary subtraction. Journal of Experimental Psychology: Learning, Memory, & Cognition, 29, 1339-1352.
26. SIEGLER, R. S., & SHRAGER, J. (1984). A model of strategy choice. In C. Sophian (Ed.), Origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Erlbaum.
27. ZBRODOFF, N. J., & LOGAN, G. D. (2005). What everyone finds: The problem size effect. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 331-346). New York: Psychology Press.