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Article
Development of Proportional Reasoning: Where Young Children Go Wrong
Developmental Psychology (2008)
  • Ty W. Boyer, Georgia Southern University
  • Susan C. Levine, University of Chicago
  • Janellen Huttenlocher, University of Chicago
Abstract
Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A computerized proportional equivalence choice task was administered to kindergartners through 4th-graders in Study 1, and to 1st- and 3rd-graders in Study 2. Both studies involved 4 between-subjects conditions that were formed by pairing continuous and discrete target proportions with continuous and discrete choice alternatives. In Study 1, target and choice alternatives were presented simultaneously; in Study 2, target and choice alternatives were presented sequentially. In both studies, children performed significantly worse when both the target and choice alternatives were represented with discrete quantities than when either or both of the proportions involved continuous quantities. Taken together, these findings indicate that children go astray on proportional reasoning problems involving discrete units only when a numerical match is possible, suggesting that their difficulty is due to an overextension of numerical equivalence concepts to proportional equivalence problems.
Keywords
  • Proportional Reasoning,
  • Continuous and Discrete Quantities,
  • Mathematical Development,
  • Intuitive and Explicit Processing
Publication Date
2008
Publisher Statement
This is an Accepted Author Manuscript obtained from PMC. The publisher's final edited version of this article is available at Developmental Science.
Citation Information
Ty W. Boyer, Susan C. Levine and Janellen Huttenlocher. "Development of Proportional Reasoning: Where Young Children Go Wrong" Developmental Psychology Vol. 44 Iss. 5 (2008)
Available at: http://works.bepress.com/ty_boyer/9/