Children's Proportional Reasoning on Problem Type of Proportion according to Ill-Structured Degree

비(非)구조화된 정도에 따른 비례 문제 유형에서 나타난 초등학생의 비례추론에 관한 연구

  • Received : 2013.09.17
  • Accepted : 2013.12.26
  • Published : 2013.12.28


Proportional reasoning is considered as a difficult concept to most elementary school students and might be connect to functional thinking, algebraic thinking, and mathematical thinking later. The purpose of this study is to analyze the sixth graders' development level of proportional reasoning so that children's problem solving processes on different proportional problem items were investigated in a way how the problem type of proportion and the degree of ill-structured affect to their levels. Results showed that the greater part of participants solved problems on the level of proportional reasoning and various development levels according to type of problem. In addition, they showed highly the level of transition and proportional reasoning on missing value problems rather than numerical comparison problems.


Supported by : 한국연구재단