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Analogical transfer, problem similarity, and expertise.

Laura R. Novick

Abstract

When we encounter a new problem, we are often reminded of similar problems solved earlier and may use the solution procedure from an old problem to solve a new one. Such analogical transfer, however, has been difficult to demonstrate empirically, even within a single experimental session. This article proposes a framework for conceptualizing analogical problem solving that can account for the conflicting findings in the literature. In addition, the framework leads to two predictions concerning the transfer behavior of experts and novices. These predictions concern both positive and negative transfer and are based on the different types of features included in the problem representations of experts and novices. First, when two problems share structural features but not surface features, spontaneous positive transfer should be more likely in experts than in novices. Second, when two problems share surface but not structural features, spontaneous negative transfer should be stronger for novices than for experts. These predictions were supported by the results of three experiments involving college students solving a complex arithmetic word problem.

Cognitive and developmental aspects of mathematical skillsChild and Animal Learning DevelopmentVisual and Cognitive Learning ProcessesSimilarity (geometry)Analogical reasoningComputer scienceSession (web analytics)Transfer of learningTransfer (computing)Cognitive psychologyAnalogyArtificial intelligencePsychology

MeSH terms

AchievementAdultConcept FormationHumansMathematicsProblem SolvingTransfer, Psychology
Citations
684
FWCI
13.74
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36
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99%
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Cited by
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References
Problem perception and knowledge structure in expert and novice mathematical problem solvers.
Journal of Experimental Psychology Learning Memory and Cognition · 1982 · 461 citations
This is like that: The use of earlier problems and the separation of similarity effects.
Journal of Experimental Psychology Learning Memory and Cognition · 1987 · 585 citations
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Technometrics · 1999 · 6,146 citations
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