0FThe influence of feedback on the flexibility of strategy choices in algebraic problem solving

Proceedings of the 36th Annual Meeting of the Cognitive Science Society, CogSci 2014

Volumn , Issue , 2014, Pages 1102-1107

  Nussbaumer, Daniela ^a   Schneider, Michael ^b   Stern, Elsbeth ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF TRIER   (Germany)

Author keywords

flexibility; mathematical problem solving

Indexed keywords

ADAPTIVITY; EFFECTIVE SOLUTION; FLEXIBILITY; INFLUENCE OF FEEDBACK; MATHEMATICAL PROBLEM SOLVING; PROBLEM-SOLVING; SIMPLE++; SOLUTION STRATEGY; STRATEGY CHOICES; STROOP EFFECT;

EID: 85093914412     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (47)

1. Anderson, J. R. (1982). Acquisition of cognitive skill. Psychological Review, 89, 369-406. Anderson, J. R. (1990). The adaptive character of thought. Hillsdale, NJ: Erlbaum.
2. Baroody, A. J. (2003). The development of adaptive expertise and flexibility: The integration of conceptual and procedural knowledge. In A. J. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 1-33). Mahwah, NJ: Erlbaum.
3. Baroody, A. J., & Dowker, A. (Eds.). (2003). The development of arithmetic concepts and skills: Constructing adaptive expertise. Mahwah, NJ: Erlbaum.
4. Bilalić, M., McLeod, P., & Gobet, F. (2008). Inflexibility of experts - reality or myth? Quantifying the Einstellung effect in chess masters. Cognitive Psychology, 56, 73-102.
5. Bilalić, M., McLeod, P., & Gobet, F. (2010). The mechanism of the Einstellung (set) effect: A pervasive source of cognitive bias. Current Directions in Psychological Science, 19, 111-115.
6. Blöte, A. W., van der Burg, E., & Klein, A. S. (2001). Students' flexibility in solving two- digit addition and subtraction problems: Instruction effects. Journal of Educational Psychology, 93(3), 627-638.
7. Davidson, J. E. (1995). The suddenness of insight. In R. J. Sternberg & J. E. Davidson (Eds.), The nature of insight (pp. 125-155). Cambridge, MA: MIT Press.
8. De Groot, A. D. (1978). Thought and choice in chess (2nd ed.). Oxford, UK: Mounton. De Smedt, B., Torbeyns, J., Strassens, N., Ghesquière, P., & Verschaffel, L. (2010). Frequency, efficiency and flexibility of indirect addition in two learning environments. Learning and Instruction, 20, 205-215.
9. Ericsson, K. A., Krampe, R. T., & Tesch-Römer, C. (1993). The role of deliberate practice in the acquisition of expert performance. Psychological Review, 100(3), 363-406.
10. Frensch, P. A., & Sternberg, R. J. (1989). Expertise and intelligent thinking: When is it worse to know better? In R. J. Sternberg (Ed.), Advances in the psychology of human intelligence (Vol. 5, pp. 157-188). Hillsdale, NJ: Erlbaum.
11. Gluck, M. A., & Thompson, R. F. (1987). Modeling the neural substrates of associative learning and memory: A computational approach. Psychological Review, 94(2), 176-191.
12. Gobet, F., & Waters, A. J. (2003). The role of constraints in expert memory. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29, 1082-1094.
13. Hatano, G., & Inagaki, K. (1986). Two courses of expertise. In H. A. H. Stevenson & K. Hakuta (Eds.), Child development and education in Japan (pp. 262-272). New York: Freeman.
14. Hesketh, B. (1997). Dilemmas in training for transfer and retention. Applied Psychology: An International Review, 46(4), 317-339.
15. Johnson, A. (2003). Procedural memory and skill acquisition. In I. B. Weiner (Ed.), Handbook of Psychology (pp. 499-523). Hoboken, NJ: Wiley.
16. Lemaire, P., & Siegler, R. S. (1995). Four aspects of strategic change: Contributions to children's learning of multiplication. Journal of Experimental Psychology: General, 124(1), 83-97.
17. Logan, G. D. (1988). Toward an instance theory of automatization. Psychological Review, 95(4), 492-527.
18. Luchins, A. S., & Luchins, E. H. (1959). Rigidity of behavior: A variational approach to the effect of Einstellung. Eugene, OR: University of Oregon Press.
19. Luchins, A. S., & Luchins, E. H. (1987). Einstellung effects. Science, 238(4827), 598. Mayer, R. E., & Moreno, R. (2003). Nine ways to reduce cognitive load in multimedia learning. Educational Psychologist, 38(1), 43-52.
20. McKelvie, S. J. (1990). Einstellung: Luchins' effect lives on. Journal of Social Behavior and Personality, 5, 105-121.
21. Renkl, A. (2005). The worked-out examples principle in multimedia. In R. E. Mayer (Ed.), The Cambridge Handbook of multimedia learning (pp. 229-246). New York: Cambridge University Press.
22. Rittle-Johnson, B., & Star, J. R. (2009). Compared with what? The effects of different comparisons on conceptual knowledge and procedural flexibility for equation solving. Journal of Educational Psychology, 101(3), 529-544.
23. Selter, C. (2009). Creatvity, flexibility, adaptivity and strategy use in mathematics. ZDM Mathematics Education, 41, 619-625.
24. Shrager, J., & Siegler, R. S. (1998). SCADS: A model of children's strategy choices and strategy discoveries. Psychological Science, 9(5), 405-410.
25. Siegler, R. S. (1996). Emerging minds: The process of change in children's thinking. New York: Oxford University Press.
26. Siegler, R. S. (2007). Cognitive variability. Developmental Science, 10, 104-109.
27. Siegler, R. S., & Araya, R. (2005). A computational model of conscious and unconscious strategy discovery. In R. V. Kail (Ed.), Advances in child development and behavior (pp. 1-42). Oxford, UK: Elsevier.
28. Siegler, R. S., & Lemaire, P. (1997). Older and younger adults' strategy choices in multiplication: Testing predictions of ASCM via the choice/no choice method. Journal of Experimental Psychology: General, 126, 71-92.
29. Siegler, R. S., & Shipley, C. (1995). Variation, selection, and cognitive change. In T. Simon & G. Halford (Eds.), Developing cognitive competence: New approaches to process modeling (pp. 31-76). Hillsdale, NJ: Erlbaum.
30. Star, J. R., & Newton, K. J. (2009). The nature and development of experts' strategy flexibility for solving equations. ZDM Mathematics Education, 41, 557-567.
31. Star, J. R., & Rittle-Johnson, B. (2008). Flexibility in problem solving: The case of equation solving. Learning and Instruction, 18(6), 565-579.
32. Sternberg, R. J. (1996). Costs of expertise. In K. A. Ericsson (Ed.), The road to excellence: The acquisition of expert performance in the arts and sciences, sports, and games (pp. 347-354). Hillsdale, NJ: Erlbaum.
33. Sternberg, R. J., & Frensch, P. A. (1992). On being an expert: A cost-benefit analysis. In R.
34. R. Hoffman (Ed.), The psychology of expertise: Cognitive research and empirical AI (pp. 191-204). New York: Springer.
35. Torbeyns, J., De Smedt, B., Ghesquière, P., & Verschaffel, L. (2009). Jump or compensate: Strategy flexibility in the number domain up to 100. ZDM Mathematics Education, 41, 581-590.
36. Torbeyns, J., Ghesquiére, P., & Verschaffel, L. (2009). Efficiency and flexibility of indirect addition in the domain of multi-digit subtraction. Learning and Instruction, 19, 1-12.
37. Verschaffel, L., Luwel, K., Torbeyns, J., & Van Dooren, W. (2007). Developing adaptive expertise: A feasible and valuable goal for (elementary) mathematics education? Ciencias Psicolóicas, 1(1), 27-35.
38. Verschaffel, L., Luwel, K., Torbeyns, J., & Van Dooren, W. (2009). Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education. European Journal of Psychology of Education, 24(3), 1878-5174.
39. Zeitz, C. M. (1997). Some concrete advantages of abstraction: How experts' representations facilitate reasoning. In P. J. Feltovich, M. K. Ford & R. R. Hoffman (Eds.), Expertise in context: Human and machine (pp. 43-65). Cambridge, MA: MIT Press.
40. Kluger, A. N., & DeNisi, A. (1996). The effects of feedback interventions on performance: a historical review, a meta-analysis, and a preliminary feedback intervention theory. Psychological bulletin, 119(2), 254.
41. Kulhavy, R. W., & Stock, W. A. (1989). Feedback in written instruction: The place of response certitude. Educational Psychology Review, 1(4), 279-308.
42. Mory, E. H. (2004). Feedback research revisited. Handbook of research on educational communications and technology, 45(1), 745-784.
43. Shute, V. J. (2008). Focus on formative feedback. Review of educational research, 78(1), 153-189.
44. Bangert-Drowns, R. L., Kulik, C. L. C., Kulik, J. A., & Morgan, M. (1991). The instructional effect of feedback in test-like events. Review of educational research, 61(2), 213-238.
45. Paas, F., Renkl, A., & Sweller, J. (2003). Cognitive load theory and instructional design: Recent developments. Educational psychologist, 38(1), 1-4.
46. Narciss, S., & Huth, K. (2004). How to design informative tutoring feedback for multimedia learning. Instructional design for multimedia learning, 181-195.
47. Butler, D. L., & Winne, P. H. (1995). Feedback and self-regulated learning: A theoretical synthesis. Review of educational research, 65(3), 245-281.