A computational model of conscious and unconscious strategy discovery

Advances in Child Development and Behavior

Volumn 33, Issue , 2005, Pages 1-42

  Siegler, Robert ^a   Araya, Roberto ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; AWARENESS; CHILD; COGNITION; EGO DEVELOPMENT; HUMAN; MATHEMATICS; PROBLEM SOLVING;

AWARENESS; CHILD; COGNITION; HUMANS; MATHEMATICS; PROBLEM SOLVING; UNCONSCIOUS (PSYCHOLOGY);

EID: 26944466870     PISSN: 00652407     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0065-2407(05)80003-5     Document Type: Article

References (58)

1. Albali M.W. How children change their minds: Strategy change can be gradual or abrupt. Developmental Psychology 35 (1999) 127-145
2. Ashcraft M.H. Children's knowledge of simple arithmetic: A developmental model and simulation. In: Bisanz J., Brainerd C.J., and Kail R. (Eds). Formal methods in developmental psychology (1987), Springer, New York 302-338
3. Bisanz J., and LeFevre J. Strategic and nonstrategic processing in the development of mathematical cognition. In: Bjorklund D.F. (Ed). Children's strategies; contemporary views of cognitive development (1990), Erlbaum, Hillsdale, NJ 213-244
4. Bryant P., Christie C., and Rendu A. Children's understanding of the relation between addition and subtraction: Inversion, identity, and decomposition. Journal of Experimental Child Psychology 74 (1999) 194-212
5. Teil II: Ueber Gedankenzusammenhaenge. Buehler K. Tatsachen und Probleme ze einer Psychologie der Denkvorgaenge. Facts and problems of a psychology of thinking. Archiv fuer die gesamte Psychologie 12 (1908) 1-23
6. Church R.B., and Goldin-Meadow S. The mismatch between gesture and speech as an index of transitional knowledge. Cognition 23 (1986) 43-71
7. Davidson J. The suddenness of insight. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 125-155
8. Whole No. 270. Duncker K. On problem solving. Psychological Monographs 58 5 (1945)
9. Flavell J.H. In: Sternberg R.J. (Ed). Mechanisms of cognitive development. Discussion (1984), Freeman, New York 187-209
10. Fuson K.C. An analysis of the counting-on solution procedure in addition. In: Carpenter T.P., Moser J.M., and Romberg T.A. (Eds). Addition and subtraction: A cognitive perspective (1982), Erlbaum, Hillsdale, NJ 67-82
11. Geary D.C. Children's mathematical development: Research and practical implications (1994), American Psychological Association, Washington, DC
12. Geary D.C., and Wiley J.G. Cognitive addition: Strategy choice and speed-of-processing differences in young and elderly adults. Psychology and Aging 6 (1991) 474-483
13. Gick M.L., and Lockhart R.S. Cognitive and affective components of insight. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 197-228
14. Goldin-Meadow S., and Alibali M.W. Looking at the hands through time: A microgenetic perspective on learning and instruction. In: Granott N., and Parziale J. (Eds). Microdevelopment: Transition processes in development and learning (2002), Cambridge University Press, Cambridge, UK 80-105
15. Groen G.J., and Parkman J.M. A chronometric analysis of simple addition. Psychological Review 79 (1972) 329-343
16. Gross H.-M., Heinze A., Seiler T., and Stephan V. Generative character of perception: A neural architecture for sensorimotor anticipation. Neural Network 12 (1999) 1101-1129
17. Gruber H.E. On the relation between "Aha! experiences" and the construction of ideas. History of Science 19 (1981) 41-59
18. Isaak M.I., and Just M.A. Constraints on thinking in insight and invention. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 281-325
19. Kaplan C.A., and Simon H.A. In search of insight. Cognitive Psychology 22 (1990) 374-419
20. Karmiloff-Smith A. Beyond modularity: A developmental perspective on cognitive science (1992), MIT Press, Cambridge, MA
21. Klahr D., and MacWhinney B. Information processing. In: Damon W., Kuhn D., and Siegler R.S. (Eds). Handbook of child psychology: Vol. 2: Cognition, perception & panguage. 5th ed. (1998), Wiley, New York 631-678
22. Klein J.S., and Bisanz J. Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology 54 (2000) 105-116
23. Kohler W. The mentality of apes (1925), Liveright, New York
24. Kotovsky K., Hayes J.R., and Simon H.A. Why are some problems hard? Evidence from Tower of Hanoi. Cognitive Psychology 17 (1985) 248-294
25. Kuhn D., Garcia-Mila M., Zohar A., and Anderson C. Strategies of knowledge acquisition. Monographs of the Society for Research in Child Development, Serial No. 245 (1995)
26. LeFevre J.A., Sadesky G.S., and Bisanz J. Selection of procedures in mental addition: Reassessing the problem-size effect in adults. Journal of Experimental Psychology: Learning, Memory, and Cognition 22 (1996) 216-230
27. Lemaire P., and Siegler R.S. Four aspects of strategic change: Contributions to children's learning of multiplication. Journal of Experimental Psychology: General 124 (1995) 83-97
28. Lewin K. A dynamic theory of personality (1935), McGraw-Hill, New York
29. Lieberman P. Human language and our reptilian brain: The subcortical bases of speech, syntax, and thought (2000), Harvard University Press, Cambridge, MA
30. Maier N.R.F. Reasoning in humans: II. The solution of a problem and its appearance in consciousness. Journal of Comparative Psychology 12 (1931) 181-194
31. Metcalfe J. Premonitions of insight predict impending error. Journal of Experimental Psychology: Learning, Memory, and Cognition 12 (1986) 623-634
32. Miller P. Theories of developmental psychology. 4th ed. (2002), Worth, New York
33. Newell A. Unified theories of cognition (1990), Harvard University Press, Cambridge, MA
34. Ohlsson S. Information-processing explanations of insight and related phenomena. In: Keane M., and Gilhooley K. (Eds). Advances in the psychology of thinking Vol. 1 (1992), Harvester-Wheatsheaf, London 1-44
35. Palmer S. Vision science: Photons to phenomenology (1999), MIT Press, Cambridge, MA
36. Perkins D.N. Insight in minds and genes. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 495-533
37. Perry M., Church R.B., and Goldin-Meadow S. Transitional knowledge in the acquisition of concepts. Cognitive Development 3 (1988) 359-400
38. Rasmussen C., Ho E., and Bisanz J. Use of mathematical principle of inversion in young children. Journal of Experimental Child Psychology 85 (2003) 89-102
39. Richardson D.C., and Spivey M.J. Representation, space, and Hollywood Squares: Looking at things that aren't there anymore. Cognition 76 (2000) 269-295
40. Schooler J.W., Fallshore M., and Fiore S.M. Epilogue: Putting insight into perspective. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 559-587
41. Shrager J., and Siegler R.S. SCADS: A model of children's strategy choices and strategy discoveries. Psychological Science 9 (1998) 405-410
42. Siegler R.S. The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General 116 (1987) 250-264
43. Siegler R.S. Hazards of mental chronometry: An example from children's subtraction. Journal of Educational Psychology 81 (1989) 497-506
44. Siegler R.S., and Crowley K. The microgenetic method: A direct means for studying cognitive development. American Psychologist 46 (1991) 606-620
45. Siegler R.S., and Crowley K. Constraints on learning in non-privileged domains. Cognitive Psychology 27 (1994) 194-227
46. Siegler R.S., and Jenkins E.A. How children discover new strategies (1989), Erlbaum, Hillsdale, NJ
47. Siegler R.S., and Shipley C. Variation, selection, and cognitive change. In: Simon T., and Halford G. (Eds). Developing cognitive competence: New approaches to process modeling (1995), Erlbaum, Hillsdale, NJ 31-76
48. Siegler R.S., and Shrager J. Strategy choices in addition and subtraction: How do children know what to do?. In: Sophian C. (Ed). The origins of cognitive skills (1984), Erlbaum, Hillsdale, NJ 229-293
49. Siegler R.S., and Stern E. A microgenetic analysis of conscious and unconscious strategy discoveries. Journal of Experimental Psychology: General 127 (1998) 377-397
50. Simon H.A. Does scientific discovery have a logic?. Philosophy of Science 40 (1973) 471-480
51. Simonton D.K. Foresight in insight? A Darwinian answer. In: Sternberg R.J., and Davidson J.E. (Eds). The nature of insight (1995), MIT Press, Cambridge, MA 465-494
52. Starkey P., and Gelman R. The development of addition and subtraction abilities prior to formal schooling in arithmetic. In: Carpenter T.P., Moser J.M., and Romberg T.A. (Eds). Addition and subtraction: A cognitive perspective (1982), Erlbaum, Hillsdale, NJ 99-116
53. Stern E. Spontaneous use of conceptual mathematical knowledge in elementary school children. Contemporary Educational Psychology 17 (1992) 266-277
54. Stern E. What makes certain arithmetic word problems involving comparison of sets so difficult for children?. Journal of Educational Psychology 85 (1993) 7-23
55. Van Lehn K. Mind bugs: The origins of procedural misconceptions (1990), MIT Press, Cambridge, MA
56. Wittgenstein L. On certainty (1969), Harper & Row, New York
57. Woods S.S., Resnick L.B., and Groen G.J. Experimental test of five process models for subtraction. Journal of Educational Psychology 67 (1975) 17-21
58. Yaniv I., and Meyer D.E. Activation and metacognition of inaccessible stored information: Potential bases of incubation effects in problem solving. Journal of Experimental Psychology: Learning, Memory, and Cognition 13 (1987) 187-205