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Article

전자저널 논문

2018; 28(1): 49-73

Published online February 28, 2018 https://doi.org/10.29275/jerm.2018.02.28.1.49

Copyright © Korea Society of Education Studies in Mathematics.

An Investigation of the Height Measurement of Island Recorded in Mathematics Books of the Late Chosun Dynasty and its Pedagogical Applications

조선 후기 산학서에 수록된 망해도술(望海島術)의 내용 분석 및 수학교육적 활용 방안

양성현

Abstract

Despite the continuing progress of the research on mathematical history, it is the case that detailed and substantive data regarding the mathematical history to be available to teachers in the school field are still considered to be lacking. Also, there is a dearth of associated information that exists regarding the contents of mathematical-history textbook contents that are closely related to substantive curriculum contents.
In this study, we reviewed and analyzed the related questions regarding the Height Measurement of Island that is commonly recorded in the representative works of the early Chosun dynasty(YangHui SuanFa, Suanxue Qimeng and XiangMing SuanFa); the seven mathematics books of the late Chosun dynasty(MuksaJipSanBup, JuSoeGwanGyeon, GuSuRyak, GuIlJip, SanHakYibMun, JuHaeSuYong and CheukRyangDoHae) and Sungho Complete Works. We explored methods to utilize this measurement in textbooks and at school sites.
Based on these identified issues and analysis results, and beyond introducing simple mathematical history, we founded subsequent important and noteworthy various mathematical materials that are related to our traditional mathematics and reinterpreted the embedded mathematical ideas into modern mathematics, thereby presenting real and practical examples that can be applied for the enhancement of in the class setting.

Keywords망해도술(望海島術),조선시대(朝鮮時代),산학서(算學書),교과서,the Height Measurement of Island,Chosun Dynasty,mathematics book,textbook