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Journal of Educational Research in Mathematics -
Vol. 30 ,
No. 2

[ Article ] | |

Journal of Educational Research in Mathematics - Vol. 30, No. 2, pp.245-279 | |

Abbreviation: JERM | |

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, South Korea (sjlee@knue.ac.kr) | |

**Professor, Korea National University of Education, South Korea (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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Submitting manuscripts for peer review as well as other correspondences can either be made via online by an email (ksesm@daum.net) or sending a mail at Secretariat of

Journal of Educational Research in Mathematics, #1305 Daewoo The'O Ville, 115 Hangang-daero, Yongsan-gu, Seoul, 04376, Republic of Korea (Tel: +82‐2‐797‐7780, Fax: +82‐2‐797‐7750).