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Two Dissociable Systems of Proportional Reasoning and their Development

  • THE KOREAN JOURNAL OF DEVELOPMENTAL PSYCHOLOGY
  • 2009, 22(3), pp.169-182
  • Publisher : The Korean Society For Developmental Psychology
  • Research Area : Social Science > Psychological Science

정윤경 1

1가톨릭대학교

Accredited

ABSTRACT

The present study was designed to describe the two dissociable systems(formal and informal systems) of proportional reasoning and their development. For these ends, 4, 6, 8 and 10-year-olds were asked to judge the equivalence of proportions involving continuous or discrete quantities. In discrete condition where formal system may have been activated, only 10-year-olds succeeded; children aged 4, 6 and 8 performed chance level. Most importantly, 4- and 6-year-olds’ tendency to be misled by the absolute number was significantly related to their counting proficiency and 10 year olds’ successful performance was significantly related to their fluency in fraction use, indicating that their performance in discrete condition was influenced by their acquisition of mathematical convention.; In stark contrast, even 4-year-olds succeeded at matching proportions and children's performance gradually increases with age in continuous condition where informal system may have been activated.; children’s errors did not predominantly consist of erroneously choosing the absolute amount match.

Citation status

* References for papers published after 2023 are currently being built.

This paper was written with support from the National Research Foundation of Korea.