Learning by analogy: Discriminating between potential analogs

Contemporary Educational Psychology

Volumn 35, Issue 1, 2010, Pages 28-43

  Richland, Lindsey E ^a   McDonough, Ian M ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Analogy; Cognition; Comparison; Problem solving

Indexed keywords

EID: 74649083565     PISSN: 0361476X     EISSN: 10902384     Source Type: Journal    
DOI: 10.1016/j.cedpsych.2009.09.001     Document Type: Article

References (63)

1. Bassok M., and Holyoak K.J. Pragmatic knowledge and conceptual structure: Determinants of transfer between quantitative domains. In: Detterman D.K., and Sternberg R.J. (Eds). Transfer on trial: Intelligence, cognition, and instruction (1993), Ablex Publishing, Norwood, NJ 68-98
2. Blessing S.B., and Ross B.H. The effect of problem content on categorization and problem solving. Journal of Experimental Psychology: Learning, Memory, and Cognition 22 (1996) 792-810
3. In: Bransford J.D., Brown A., and Cocking R. (Eds). How people learn: Mind, brain, experience and school, expanded edition (2000), National Academy Press, Washington, DC
4. Brown D.E., and Clement J. Overcoming misconceptions via analogical reasoning: Abstract transfer versus explanatory model construction. Instructional Science 18 (1989) 237-261
5. Catrambone R. The subgoal learning model: Creating better examples so that students can solve novel problems. Journal of Experimental Psychology: General 127 4 (1998) 355-376
6. Catrambone R., and Holyoak K.J. Overcoming contextual limitations on problem-solving transfer. Journal of Experimental Psychology: Learning, Memory, and Cognition 15 (1989) 1147-1156
7. Chen Z., and Klahr D. All other things being equal: Children's acquisition of the control of variables strategy. Child Development 70 5 (1999) 1098-1120
8. Chi M., Feltovich P., and Glaser R. Categorization and representation of physics problems by experts and novices. Cognitive Science 5 (1981) 121-152
9. Chi M.T.H., and Ohlsson S. Complex declarative learning. In: Holyoak K.J., and Morrison R.G. (Eds). Cambridge handbook of thinking and reasoning (2005), Cambridge University Press, New York, NY 371-399
10. Cho S., Holyoak K.J., and Cannon T.D. Analogical reasoning in working memory: Resources shared among relational integration, interference resolution, and maintenance. Memory & Cognition 35 6 (2007) 1445-1455
11. Clement J. Using bridging analogies and anchoring intuitions to deal with students' preconceptions in physics. Journal of Research in Science Teaching 30 10 (1993) 1241-1257
12. Duit R. On the role of analogies and metaphors in learning science. Science Education 75 (1991) 649-672
13. In: English L. (Ed). Mathematical reasoning: Analogies, metaphors, and images (2004), Erlbaum, Hillsdale, NJ
14. Gallistel C.R., and Gelman R. Mathematical cognition. In: Holyoak K.J., and Morrison R.G. (Eds). Cambridge handbook of thinking and reasoning (2005), Cambridge University Press, New York, NY 559-588
15. Gentner D. Structure-mapping - A theoretical framework for analogy. Cognitive Science 7 (1983) 155-170
16. Gentner D., Loewenstein J., and Thompson L. Learning and transfer: A general role for analogical encoding. Journal of Educational Psychology 95 (2003) 393-408
17. Gentner D., and Toupin C. Systematicity and surface similarity in the development of analogy. Cognitive Science 10 (1986) 277-300
18. Gerjets P., Scheiter K., and Catrambone R. Can learning from molar and modular worked examples be enhanced by providing instructional explanations and prompting self-explanations. Learning and Instruction 16 2 (2006) 104-121
19. Gick M.L., and Holyoak K.L. Analogical problem solving. Cognitive Psychology 15 (1980) 306-355
20. Gick M.L., and Holyoak K.L. Schema induction and analogical transfer. Cognitive Psychology 15 (1983) 1-38
21. Goldstone R.L., and Medin D.L. The time course of comparison. Journal of Experimental Psychology: Learning, Memory, and Cognition 20 (1994) 29-50
22. Hiebert J., Gallimore R., Garnier H., Givvin K.B., Hollingsworth H., Jacobs J., et al. Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. (NCES 2003-013) (2003), US Department of Education, Washington, DC
23. Hilbert, D. (1900). Mathematical problems. Lecture delivered before the International Congress of Mathematicians, Paris, France.
24. Holyoak K.J., and Thagard P. Analogical mapping by constraint satisfaction. Cognitive Science: A Multidisciplinary Journal 13 (1989) 295-355
25. Holyoak K.J., and Thagard P. Analogical mapping by constraint satisfaction. In: Polk T.A., and Seifert C.M. (Eds). Cognitive modeling (2002), MIT Press, Cambridge, MA 849-909
26. Kalyuga S., Ayres P., Chandler P., and Sweller J. The expertise reversal effect. Educational Psychologist 38 1 (2003) 23-31
27. Kilpatrick J., Swafford J., and Findell B. Adding it up: Helping children learn mathematics (2001), National Academy Press, Washington, DC
28. Kolodner J.L. Educational implications of analogy: A view from case-based reasoning. American Psychologist 52 1 (1997) 57-66
29. Mayer R.E. Multimedia learning (2001), Cambridge University Press, New York
30. National Mathematics Advisory Panel. Foundations for success: The final report of the national mathematics advisory panel (2008), US Department of Education, Washington, DC
31. National Mathematics Advisory Panel, (2008b). Reports of the task groups and subcommittees. Washington, DC.
32. National Research Council. Adding it up: Helping children learn mathematics. In: Kilpatrick J., Swafford J., and Findell B. (Eds). Mathematics learning study committee, center for education, division of behavioral and social sciences, and education (2001), National Academies Press, Washington, DC
33. Nokes, T. J., & Ross, B. H. (2007). Facilitating conceptual learning through analogy and explanation. In L. Hsu, C. Henderson, & L. McCullough (Eds.), 2007 Physics education research conference (pp. 7-10). American Institute of Physics Conference Proceedings.
34. Novick L.R. Analogical transfer, problem similarity, and expertise. Journal of Experimental Psychology: Learning, Memory, and Cognition 14 (1988) 510-520
35. Novick L.R., and Holyoak K.J. Mathematical problem solving by analogy. Journal of Experimental Psychology: Learning, Memory, and Cognition 17 (1991) 398-415
36. Paas F.G.W.C., and Vanmerriënboer J.J.G. Instructional-control of cognitive load in the training of complex cognitive tasks. Educational Psychology Review 6 (1994) 351-371
37. Pashler, H., Bain, P., Bottge, B., Graesser, A., Koedinger, K., McDaniel, M., et al. (2007). Organizing instruction and study to improve student learning (NCER 2007-2004). Washington, DC: National Center for Education Research, Institute of Education Sciences, US Department of Education. Retrieved .
38. Perry M., Vanderstoep S.W., and Yu S.L. Asking questions in first-grade mathematics classes: Potential influences on mathematical thought. Journal of Educational Psychology 85 (1993) 40-41
39. Polya G. Mathematics and plausible reasoning. I. Induction and analogy in mathematics. II. Patterns of plausible inference (1954), Princeton University Press, Princeton, NJ
40. Reed S.K. A structure-mapping model for word problems. Journal of Experimental Psychology: Learning, Memory, and Cognition 13 (1987) 124-139
41. Reed S.K. Constraints on the abstraction of solutions. Journal of Educational Psychology 81 (1989) 532-540
42. Renkl A., and Atkinson R.K. Structuring the transition from example study to problem solving in cognitive skill acquisition: A cognitive load perspective. Educational Psychologist 38 (2003) 15-22
43. Richland L.E., Kornell N., and Kao S.L. Leave no test behind: Failed retrieval on a pretest can enhance future learning. Journal of Experimental Psychology: Applied 15 (2009) 243-257
44. Richland L.E., Holyoak K.J., and Stigler J.W. Analogy generation in eighth grade mathematics classrooms. Cognition and Instruction 22 (2004) 37-60
45. Richland L.E., Morrison R.G., and Holyoak K.J. Children's development of analogical reasoning: Insights from scene analogy problems. Journal of Experimental Child Psychology 94 (2006) 249-271
46. Richland L.E., Zur O., and Holyoak K.J. Cognitive supports for analogy in the mathematics classroom. Science 316 (2007) 1128-1129
47. Rittle-Johnson B., and Star J.R. Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology 99 (2007) 561-574
48. Roediger III H.L., and Karpicke J.D. The power of testing memory: Basic research and implications for educational practice. Perspectives on Psychological Science 1 (2006) 181-210
49. Ross B.H. This is like that: The use of earlier problems and the separation of similarity effects. Journal of Experimental Psychology: Learning, Memory, and Cognition 13 (1987) 629-639
50. Ross B.H. Distinguishing types of superficial similarities: Different effects on the access and use of earlier problems. Journal of Experimental Psychology: Learning, Memory, and Cognition 15 (1989) 456-468
51. Ross B.H., and Kennedy P.T. Generalizing from the use of earlier examples in problem solving. Journal of Experimental Psychology: Learning, Memory, and Cognition 16 1 (1990) 42-55
52. Ross B.H., and Kilbane M.C. Effects of principle explanation and superficial similarity on analogical problem solving. Journal of Experimental Psychology: Learning, Memory, & Cognition 23 (1997) 427-440
53. Scheiter K., Gerjets P., and Catrambone R. Making the abstract concrete: Visualizing mathematical solution procedures. Computers in Human Behavior 22 (2006) 9-25
54. Schoenfeld A.H., and Herrmann D.J. Problem perception and knowledge structure in expert and novice mathematical problem solvers. Journal of Experimental Psychology: Learning, Memory, and Cognition 5 (1982) 484-494
55. Schwartz D.L., and Bransford J.D. A time for telling. Cognition and Instruction 16 (1998) 475-522
56. Skemp R. Relational understanding and instrumental understanding. Mathematics Teaching 77 (1976) 20-26
57. Sweller J., Chandler P., Tierney P., and Cooper M. Cognitive load and selective attention as factors in the structuring of technical material. Journal of Experimental Psychology: General 119 (1990) 176-192
58. Sweller J., and Cooper G.A. The use of worked examples as a substitute for problem solving in learning algebra. Cognition and Instruction 2 1 (1985) 59-89
59. Tohill J.M., and Holyoak K.J. The impact of anxiety on analogical reasoning. Thinking & Reasoning 6 (2000) 27-40
60. Vanderstoep S.W., and Seifert C.M. Knowing 'how' versus knowing 'when': Improving transfer of problem-solving principles. Journal of the Learning Sciences 3 (1993) 93-111
61. Viskontas I.V., Morrison R.G., Holyoak K.J., Hummel J.E., and Knowlton B.J. Relational integration, inhibition and analogical reasoning in older adults. Psychology & Aging 19 (2004) 581-591
62. Waltz J.A., Lau A., Grewal S.K., and Holyoak K.J. The role of working memory in analogical mapping. Memory & Cognition 28 (2000) 1205-1212
63. Zhu X., and Simon H.A. Learning mathematics from examples and by doing. Cognition and Instruction 4 (1987) 137-166