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Article

전자저널 논문

2020; 30(2): 245-279

Published online May 31, 2020 https://doi.org/10.29275/jerm.2020.05.30.2.245

Copyright © Korea Society of Education Studies in Mathematics.

Students’ Proportion Problem Solving with Different Units Coordination Stages

단위 조정 단계에 따른 학생의 비례 문제 해결

Soo Jin Lee1, Jaehong Shin2

* Professor, Korea National University of Education, South Korea, sjlee@knue.ac.kr
** Professor, Korea National University of Education, South Korea, jhshin@knue.ac.kr

*한국교원대학교 교수, **한국교원대학교 교수

Correspondence to:†corresponding author

Received: April 5, 2020; Revised: May 2, 2020; Accepted: May 2, 2020

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.

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