Learning new problem-solving strategies leads to changes in problem representation

Cognitive Development

Volumn 24, Issue 2, 2009, Pages 89-101

  Alibali, Martha W ^a   Phillips, Karin M O ^a   Fischer, Allison D ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Mathematics; Problem solving; Representation

Indexed keywords

EID: 65349103933     PISSN: 08852014     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cogdev.2008.12.005     Document Type: Article

References (22)

1. Alibali M.W. How children change their minds: Strategy change can be gradual or abrupt. Developmental Psychology 35 (1999) 127-145
2. Alibali M.W. Mechanisms of change in the development of mathematical reasoning. In: Kail R.V. (Ed). Advances in Child Development and Behavior Vol. 33 (2005), Academic Press, New York 79-123
3. Alibali M.W., McNeil N.M., and Perrott M.A. What makes children change their minds? Changes in problem encoding lead to changes in strategy selection. In: Gernsbacher M.A., and Derry S. (Eds). Proceedings of the Twentieth Annual Conference of the Cognitive Science Society (1998), Lawrence Erlbaum Associates, Mahwah, NJ 36-41
4. Alibali, M.W., Ockuly, K.M., & Fischer, A. D. (2005, October). The process of strategy generation: A microgenetic study. Paper presented at the biennial meeting of the Cognitive Development Society, San Diego, California.
5. Chase W.G., and Simon H.A. The mind's eye in chess. In: Chase W.G. (Ed). Visual Information Processing (1973), Academic Press, New York 215-281
6. Chi M.T.H., Feltovich P.J., and Glaser R. Categorization and representation of physics problems by experts and novices. Cognitive Science 5 (1981) 121-152
7. Cook S.W., and Goldin-Meadow S. The role of gesture in learning: Do children use their hands to change their minds?. Journal of Cognition and Development 7 (2006) 211-232
8. Dean A.L., and Malik M.M. Representing and solving arithmetic word problems: A study of developmental interaction. Cognition and Instruction 3 (1986) 211-227
9. Dean A.L., and Mollaison M. Understanding and solving probability problems: A developmental study. Journal of Experimental Child Psychology 42 (1986) 23-48
10. Fujimura N. Facilitating children's proportional reasoning: Processes and effects of intervention on strategy change. Journal of Educational Psychology 93 (2001) 589-603
11. Larkin J.H. The role of problem representation in physics. In: Gentner D., and Stevens A.L. (Eds). Mental Models. (1983), Lawrence Erlbaum Associates, Hillsdale, NJ 75-98
12. Larkin J.H., McDermott J., Simon D.P., and Simon H.A. Expert and novice performance in solving physics problems. Science 208 (1980) 1335-1342
13. McGilly K., and Siegler R.S. The influence of encoding and strategic knowledge on children's choices among serial recall strategies. Developmental Psychology 26 (1990) 931-941
14. McNeil N.M., and Alibali M.W. Learning mathematics from procedural instruction: Externally imposed goals influence what is learned. Journal of Educational Psychology 92 (2000) 734-744
15. McNeil N.M., and Alibali M.W. You'll see what you mean: Students encode equations based on their knowledge of arithmetic. Cognitive Science 28 (2004) 451-466
16. McNeil N.M., and Alibali M.W. Why won't you change your mind? Knowledge of operational patterns hinders learning and performance on equations. Child Development 76 (2005) 883-899
17. Rittle-Johnson B., and Alibali M.W. Conceptual and procedural knowledge of mathematics: Does one lead to the other?. Journal of Educational Psychology 91 (1999) 175-189
18. Rittle-Johnson B., and Siegler R.S. The relations between conceptual and procedural knowledge in learning mathematics: A review of the literature. In: Donlan C. (Ed). The Development of Mathematical Skill (1999), Psychology Press, Hove, UK 75-110
19. Rittle-Johnson B., Siegler R.S., and Alibali M.W. Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology 93 (2001) 346-362
20. Siegler R.S. Three aspects of cognitive development. Cognitive Psychology 8 (1976) 481-520
21. Siegler R.S. Emerging Minds: The Process of Change in Children's Thinking (1996), Oxford University Press, New York
22. Siegler R.S., and Chen Z. Developmental differences in rule learning: A microgenetic analysis. Cognitive Psychology 36 (1998) 273-310