• 한국수학사학회지
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• 제29권1호
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• pp.17-30
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• 2016

This study focused on the selection and application of mathematical problems to provide mathematically challenging tasks for the gifted elementary students. For the selection, a mathematical problem from <算術管見> of Joseon dynasty, '圓容三方互求', was selected, considering the participants' experiences of problem solving and the variety of approaches to the problem. For the application, teaching strategies such as individual problem solving and sharing of the solving methods were used. The problem was provided for 13 mathematically gifted elementary students. They not only solved it individually but also shared their approaches by presentations. Their solving and sharing processes were observed and their results were analyzed. Based on this, some didactical considerations were suggested.

• 한국수학사학회지
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• 제30권3호
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• pp.137-162
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• 2017

The Chinese algebraic method, the tian yuan shu, was developed during Song period (960-1279), of which Li Ye's works contain the earliest testimony. Two 18th century editors commentated on his works: the editor of the Siku quanshu and Li Rui, the latter responding to the former. Korean scholar Nam Byeong-gil added another response in 1855. Differences can be found in the way these commentators considered mathematical objects and procedures. The conflicting nature of these commentaries shows that the same object, the quadratic equation, can beget different interpretations, either a procedure or an assertion of equality. Textual elements in this paper help modern readers reconstruct different authors' understandings and reconsider the evolution of the definition of the object we now call 'equation'.

• 한국수학사학회지
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• 제27권2호
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• pp.111-125
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• 2014

Jisuguimundo is an inimitable magic hexagon devised by Choi Seok-Jeong, who was the author of GuSuRyak as well as a prime minister in Joseon dynasty. Jisuguimundo, recorded in GuSuRyak, is also known as Hexagonal Tortoise Problem (HTP) because its nine hexagons resemble a tortoise shell. We call the sum of numbers in a hexagon in Jisuguimundo a magic sum, and show that the magic sum of hexagonal tortoise problem of order 2 varies 40 through 62 exactly and that of hexagonal tortoise problem of order 3 varies 77 through 109 exactly. We also find all of the possible solutions for hexagonal tortoise problem of oder 2.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제24권1호
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• pp.195-220
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• 2010

방진 또는 마방진(magic square, 魔方陣)은 정사각형 모양으로 수를 배열하여 가로, 세로, 대각선의 합이 같아지도록 만든 수배열을 말한다. 마방진의 '방'에는 정사각형이라는 의미가 포함되어 있다. 만약 '방' 즉 정사각형이라는 조건을 제거한다면 어떤 수배열이 가능할 것인가? 중국의 "양휘산법"과 "산법통종"에는 취오도(聚五圖)와 취육도(聚六圖), 취팔도(聚八圖), 찬구도(攢九圖), 팔진도(八陣圈), 연환도(連環圖)와 같은 다양한 수배열이 제시되어 있다. 또한 조선 시대 수학자 최석정의 "구수략"에는 지수귀문도(地數龜文圖)라는 독창적이고 아름다운 수배열이 제시되어 있다. 이밖에도 원 모양의 마방진, 별 모양의 마방진 등 다양한 마방진이 존재한다. 본고에서는 이러한 정사각형 형태가 아닌 마방진을 소개하고 이들이 갖는 몇 가지 성질과 이에 대한 활용 방법을 제시하였다.