The Korea Society Of Educational Studies In Mathematics
[ Article ]
Journal of Educational Research in Mathematics - Vol. 30, No. 2, pp.245-279
ISSN: 2288-7733 (Print) 2288-8357 (Online)
Print publication date 31 May 2020
Received 05 Apr 2020 Revised 02 May 2020 Accepted 02 May 2020
DOI: https://doi.org/10.29275/jerm.2020.05.30.2.245

Students’ Proportion Problem Solving with Different Units Coordination Stages

Lee, Soo Jin* ; Shin, Jaehong**,
*Professor, Korea National University of Education sjlee@knue.ac.kr
**Professor, Korea National University of Education jhshin@knue.ac.kr

Correspondence to: Professor, Korea National University of Education, South Korea, jhshin@knue.ac.kr

Abstract

The aim of this study is to analyze students’ units-coordinating activities and operations in their proportion problem solving, and to investigate how quantitative structures corresponding to ratios are constructed with different levels of units coordination. As a result of our clinical interviews with three seventh grade students who were at units coordination stage 2 and 3, we found that the use of operations relevant to whole number division was crucial to solving mixed-juice problems and only the stage 3 students assimilated the problem situations involving ratios as three-levels-of-units structures consisting of composite units of indefinite numerosity. Given the importance of units coordination in solving proportion problems, implications for further research are discussed.

Keywords:

proportionality, ratio, units coordination stage, multiplicative reasoning, whole number division

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