Simple addition and multiplication: No comparison

European Journal of Cognitive Psychology

Volumn 20, Issue 1, 2008, Pages 123-138

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

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ADOLESCENT; ADULT; ARITHMETIC; ARTICLE; COMPARATIVE STUDY; DATA ANALYSIS; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; MEMORY; MENTAL TASK; NORMAL HUMAN; PRIORITY JOURNAL; STATISTICAL ANALYSIS; STIMULUS; TASK PERFORMANCE;

EID: 36248987309     PISSN: 09541446     EISSN: 14640635     Source Type: Journal    
DOI: 10.1080/09541440701275823     Document Type: Article

References (23)

1. Ashcraft, M. H. (1982). The development of mental arithmetic: A chronometric approach. Developmental Review, 2, 213-236.
2. Ashcraft, M. H. (1995). Cognitive psychology and simple arithmetic: A review and summary of new directions. Mathematical Cognition, 1, 3-34.
3. Butterworth, B., Zorzi, M., Girelli, L., & Jonckheere, A. R. (2001). Storage and retrieval of addition facts: The role of number comparison. Quarterly Journal of Experimental Psychology, 54A, 1005-1029.
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., Fuchs-Lacelle, S., & Phenix, T. L. (2006). Identical elements model of arithmetic memory: Extension to addition and subtraction. Memory and Cognition, 34, 633-647.
6. Campbell, J. I. D., Parker, H. R., & Doetzel, N. L. (2004). Interactive effects of numerical surface form and operand parity in cognitive arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition, 30, 51-64.
7. Campbell, J. I. D., & Thompson, V. A. (2002). More power to you: Simple power calculations for treatment effects with one degree of freedom. Behavior Research Methods, Instruments & Computers, 34, 332-337.
8. Campbell, J. I. D., & Xue, Q. (2001). Cognitive arithmetic across cultures. Journal of Experimental Psychology: General, 130, 299-315.
9. Fias, W. (1996). The importance of magnitude information in number processing: Evidence from the SNARC effect. Mathematical Cognition, 2, 95-110.
10. Henik, A., & Tzelgov, J. (1982). Is three greater than five: The relationship between physical and semantic size in comparison tasks. Memory and Cognition, 10, 389-395.
11. LeFevre, J., & Liu, J. (1997). The role of experience in numerical skill: Multiplication performance in adults from Canada and China. Mathematical Cognition, 3, 31-62.
12. Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519-1520.
13. Pinel, P., Piazza, M., Le Bihan, D., & Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron, 41, 1-20.
14. Rickard, T. C. (2005). A revised identical elements model of arithmetic fact representation. Journal of Experimental Psychology: Learning, Memory and Cognition, 31, 250-257.
15. 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.
16. Rickard, T. C., Healy, A. F., & Bourne, L. E., Jr. (1994). On the cognitive structure of basic arithmetic skills: Operation, order, and symbol transfer effects. Journal of Experimental Psychology: Learning, Memory and Cognition, 20, 1139-1153.
17. Schwarz, W., & Heinze, H. J. (1998). On the interaction of numerical and size information in digit comparison: A behavioral and event-related potential study. Neuropsychologia, 36, 1167-1179.
18. Schwarz, W., & Ischebeck, A. (2003). On the relative speed account of number-size interference in comparative judgments of numerals. Journal of Experimental Psychology: Human Perception and Performance, 29, 507-522.
19. Siegler, R. S. (1988). Individual differences in strategy choices: Good students, not-so-good students, and perfectionists. Child Development, 59, 833-851.
20. Siegler, R. S., & Shrager, J. (1984). Strategy choices in addition and subtraction: How do children know what to do? In C. Sophian (Ed.), Origins of cognitive skills (pp. 229-293). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
21. Stoianov, I., Zorzi, M., & Umiltà, C. (2004). The role of semantic and symbolic representations in arithmetic processing: Insights from simulated dyscalculia in a connectionist model. Cortex, 40, 194-196.
22. Verguts, T., & Fias, W. (2005). Interacting neighbors: A connectionist model of retrieval in single-digit multiplication. Memory and Cognition, 33, 1-16.
23. 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. 331-345). New York: Psychology Press.