Strategic Aspects of Numerosity Judgment: The Effect of Task Characteristics

Experimental Psychology

Volumn 50, Issue 1, 2003, Pages 63-75

  Luwel, Koen ^a   Verschaffel, Lieven ^a   Onghena, Patrick ^a   De Corte, Erik ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Numerosity judgment; Strategy adaptiveness; Strategy choice

Indexed keywords

ADAPTIVE BEHAVIOR; ADULT; ARTICLE; DECISION MAKING; HUMAN; MATHEMATICS;

ADAPTATION, PSYCHOLOGICAL; ADULT; CHOICE BEHAVIOR; HUMANS; JUDGMENT; MATHEMATICS;

EID: 85047689558     PISSN: 16183169     EISSN: None     Source Type: Journal    
DOI: 10.1027//1618-3169.50.1.63     Document Type: Article

References (35)

1. Beem, A. L. (1993). Segcurve: A program for fitting two-phase segmented curve models with an unknown change point [Program manual]. Leiden, The Netherlands: Leiden University, Educational Computing Research Unit.
2. Beem A. L., (1995). A program for fitting two-phase segmented curve models with an unknown change point, with an application to the analysis of strategy shifts in a cognitive task. Behavior Research Methods, Instruments, & Computers, 27, 392-399.
3. Beem A. L. (1999). Seg3curv: A program for fitting three-phase segmented curve models with two unknown change points [Program manual]. Amsterdam, University of Amsterdam, Department of Biological Psychology.
4. Beishuizen, M. (1993). Mental strategies and materials or models for addition and subtraction up to 100 in Dutch second grades. Journal for Research in Mathematics Education, 24, 294-323.
5. Brent, D. E., & Routh, R. K. (1978). Response cost and impulsive word recognition errors in reading-disabled children. Journal of Abnormal Child Psychology, 6, 211-219.
6. Brown, R. L., Durbin, J., & Evans, J. M. (1975). Techniques for testing the constancy of regression relationships over time. Journal of the Royal Statistical Society, Series B, 37, 149-163.
7. Crowley, K., & Siegler, R. S. (1993). Flexible strategy use in young children's tic-tac-toe. Cognitive Science, 17, 531-561.
8. Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp.243-275). New York: Macmillan.
9. Gardner, W. P., & Rogoff, B. (1990). Children's deliberateness of planning according to task circumstances. Developmental Psychology, 26, 480-487.
10. Ippel, M. J., & Beem, A. L. (1987). A theory of antagonistic strategies. In E. De Corte, H. Lodewijks, R. Parmentier, & P. Span (Eds.), Learning and instruction: European research in an international context: Vol 1 (pp. 111-121). Leuven, Belgium: University Press.
11. Klayman, J. (1985). Children's decision strategies and their adaptation to task characteristics. Organizational Behavior and Human Decision Processes, 35, 179-201.
12. Kuhn, D., & Phelps, E. (1982). The development of problem-solving strategies. In H. W. Reese (Ed.), Advances in child development and behavior. (Vol. 17, pp. 1-44). New York: Academic Press.
13. Lemaire, P., & Reder, L. (1999). What effects strategy selection in arithmetic? The example of parity and five effects on product verification. Memory & Cognition, 27, 364-382.
14. 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.
15. Lovett, M. C., & Anderson, J. R. (1996). History of success and current context in problem solving: Combined influences on operator selection. Cognitive Psychology, 31, 168-217.
16. Luwel, K., Beem, A. L., Onghena, P., & Verschaffel, L. (2001). Using segmented linear regression models with unknown change points to analyze strategy shifts in cognitive tasks. Behavior Research Methods, Instruments, & Computers, 33, 470-478.
17. Luwel, K., Verschaffel, L., Onghena, P., & De Corte, E. (2000). Children's strategies for numerosity judgement in square grids of different sizes. Psychologica Belgica, 40, 183-209.
18. Luwel, K., Verschaffel, L., Onghena, P., & De Corte, E. (2001). Strategic aspects of children's numerosity judgement. European Journal of Psychology of Education, 16, 233-255.
19. Marsh, G., Friedman, M., Welch, V., & Desberg, P. (1980). The development of strategies in spelling. In U. Frith (Ed.), Cognitive processes in spelling (pp. 339-354). London: Academic Press.
20. McGilly, K., & Siegler, R. S. (1990). The influence of encoding and strategic knowledge on children's choices among serial recall strategies. Developmental Psychology, 26, 931-941.
21. Miller, K., Perlmutter, M., & Keating, D. (1984). Cognitive arithmetic: Comparison of operations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 10, 46-60.
22. Parkman, J. M. (1972). Temporal aspects of simple multiplication and comparison. Journal of Experimental Psychology, 95, 437-444.
23. Payne, J. W., Bettman, J. R., & Johnson, J. R. (1988). Adaptive strategy selection in decision making. Journal of Experimental Psychology: Learning, Memory, and Cognition, 14, 534-552.
24. Payne, J. W., Bettman, J. R., & Johnson, E. J. (1993). The adaptive decision maker. Cambridge: University Press.
25. Reder, L. M. (1987). Strategy selection in question answering. Cognitive Psychology, 19, 90-138.
26. Rittle-Johnson, B., & Siegler, R. S. (1999). Learning to spell: Variability, choice, and change in children's strategy use. Child Development, 70, 332-348.
27. Schunn, C. D., & Reder, L. M. (2001). Another source of individual differences: Strategy adaptivity to changing rates of success. Journal of Experimental Psychology: General, 130, 59-76.
28. Schweder, T. (1976). Some "optimal" methods to detect structural shift or outliers in regression. Journal of the American Statistical Association, 71, 491-501.
29. Siegler, R. S. (1987). Strategy choices in subtraction. In J. A. Sloboda & D. Rogers (Eds.), Cognitive processes in mathematics (pp. 81-106). Oxford: Clarendon Press.
30. Siegler, R. S. (1996). Emerging minds: The process of change in children's thinking. New York: Oxford University Press.
31. Siegler, R. S., & Lemaire, P. (1997). Older and younger adult's strategy choices in multiplication: Testing predictions of ASCM using the choice/no choice method. Journal of Experimental Psychology: General, 126, 71-92.
32. Siegler, R. S., & McGilly, K. (1989). Strategy choices in children's time-telling. In I. Levin & D. Zakay (Eds.), Time and human cognition: A life-span perspective (pp. 185-218). Amsterdam: North-Holland.
33. Siegler, R. S., & Robinson, M. (1982). The development of numerical understandings. In H. W. Reese & L. P. Lipsitt (Eds.), Advances in child development and behavior (Vol. 16, pp. 241-312). New York: Academic Press.
34. Stazyk, E. H., Ashcraft, M. H., & Hamann, M. S. (1982). A network approach to mental multiplication. Journal of Experimental Psychology: Learning, Memory, and Cognition, 8, 320-335.
35. Verschaffel, L., De Corte, E., Lamote, C., & Dhert, N. (1998). The acquisition and use of an adaptive strategy for estimating numerosity. European Journal of Psychology of Education, 13, 347-370.