• 한국수학사학회지
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• 제19권4호
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• pp.1-12
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• 2006

중국(中國)의 산경(算經)에서 제일(第一) 먼저 우리의 관심(關心)을 끄는 것은 구장산술(九章算術)이다. 그러나 이천삼백년(二千三百年) 전(前)부터 존재(存在)하였다고 추측(推測)할 뿐 편저자(編著者)나 제작년도(製作年度)는 미상(未詳)이다. 여기에 있는 문제(問題)들을 수학적(數學的)인 명(面)에서 검토(檢討)하여 보는 것도 바람직하지만 역사(歷史)나 사회적(社會的) 환경(環境)과 관련(聯關)시켜 분석(分析)하고 추론(推論)하여 구장산술(九章算術)의 구조(構造)를 밝혀낸다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제14권2호
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• pp.103-116
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• 2011

동아시아 수학사에서 가장 중요하고 기초적인 문헌은 <구장산술九章算術>이다. 이 책은 오랜 세월 동안 여러 주석가들에 의해 보완되고 재해석되며 광범위한 영향력을 미쳤다. 우리나라 역시 이 영향권 안에서 삼국시대 이래로 <구장산술>을 기본 산학서로 취급해 왔고 19세기 조선 수학자 남병길은 이 책에 대한 주석서 <구장술해九章術解>를 출판했다. 본 연구에서는 이 두 책의 구성과 내용을 확인하고 그것의 교육적 활용 가능성에 대해 모색해본다.

• 한국수학사학회지
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• 제17권3호
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• pp.61-72
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• 2004

본 연구는 동양 최고의 수학서로 꼽히는 구장산술에 주목하여 수학교육학적 측면에서 가치와 의의를 분석하였다. 구장산술은 실생활 문제를 통하여 수학에 접근하고 있으며 개념과 유형별로 알고리즘화하는 구조적 특성을 가진다. 이러한 분석을 바탕으로 오늘날 수학교육에 부합하는 가치를 고찰하였다. 또한, 구장산술이 가지는 역사적, 수학적 업적을 분석하여 수학학습에 미치는 긍정적인 영향과 정의적 영역에서의 의의를 찾고, 마지막으로 오늘날의 해법과는 다른 풀이를 보여주는 계산법에 주목하여, 현장에서의 활용 방안과 그 가치를 제시하였다.

• 한국수학사학회지
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• 제23권1호
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• pp.25-40
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• 2010

사람의 인지능력의 성장 원리를 도출하고, 구장산술의 8장 방정의 1차 연립방정식 이론의 전개 방식을 살펴본다. 도출해낸 인지능력의 성장 원리에 입각하여 구장산술의 서술 방식의 교육학적 의미를 분석한다.

• 한국수학사학회지
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• 제16권4호
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• pp.1-14
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• 2003

The Nine Chapters by Liu Hui(劉徽) in the three kingdoms(220∼265 AD) is the fundamental source of the traditional Chinese Mathematics and has not only remained the lighthouse of the traditional Chinese Mathematics over the last 2000 years, but also has exerted a profound influence on the development of mathematics in the neigh-bouring countries and regions. At last it also translated into English. In this paper, some differences between the Orignal and the New Translated Nine Chapters will be introduced and a problem of Mathematical Treatise in Nine Sections (Shushu Jiuzhang, 수서구장, 1247) of Qin Jiushao(진구소, 1202∼1261 AD) in the Song (송, 960∼1261 AD) Dynasty It looks like an insect in the amber but not error.

• 한국수학사학회지
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• 제22권4호
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• pp.67-82
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• 2009

본 연구는 최석정의 <구수략>을 수학적 측면보다는 수학철학적 측면에서 재조명한다. 최석정은 <구수략>을 통해 산학을 산학 자체만이 아닌 도학의 전통에서 산학을 정리하고, 산학의 기본 경서라 할 수 있는 <구장산술>을 소강절의 사상론을 바탕으로 재정립하려는 것으로 볼 수 있다. 이는 산학에서 성립되는 법칙이 자연만물의 이치에 벗어나지 않는다는 최석정의 독특한 시각으로 해석할 수 있다.

• 대한한의정보학회지
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• 제17권2호
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• pp.130-287
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• 2011

"zhenjiusunanyaozhi(鍼灸素難要旨)" is composed of three volumes and published in 1529 by Gao Wu(高武). Gao Wu(高武) is skillful in astronomy, the art of war and the law as well as a medical practitioner in Ming Dynasty. The books he wrote "zhenjiujuying(鍼灸聚英)", "zhizhi(直指)", "douzhenzhengzong(痘疹正宗)", "shexuezhinan(射學指南)", "zhenjiujieyao(鍼灸節要)". "zhenjiusunanyaozhi鍼灸素難要旨" is written by classifying the origin of acupuncture and moxibustion. In other words, it is edited by classifying the contents related to acupuncture and moxibustion out of the ancient Chinese medical book "yellow emperor's canon of medicine and yellow emperor eighty-one difficult" in which are composed of 3 volumes as follows, Volume 1 says the main diseases on "the nine acupuncture needles figure" (九針圖), "the reinforcing and reducing the meridian" (補瀉), "the needle depth" (針刺深淺), "the five shu points - metal, wood, water, fire, earth" (正,滎,輸,經,合) based on 18 chapters in terms of acupuncture in "yellow emperor eighty-one Difficult "難經"", in which it quotes the annotation of "the difficulty by the original meaning "難經本義"" written by Hua Shou(滑壽) in Yuan Dynasty. Volume 2 is composed of 2 parts. Part 1 says the method of treatment on 36 Chapters, the method of acupuncture use in the Linshu "靈樞" and the Suwen "素問" such as "the rule of acupuncture use" (用針方宜), "the nine-pin method" (九針式) and "the nine-pin to only use the time appropriate to consider nature of Heaven, Earth and person" (九針應天地人時以起用) etc., Part 2 says "the five difficult acupuncture(五亂刺)", "the rise and fall of energy and blood(氣血盛衰)". "the pain tolerance(耐痛)" and ect., in which are in terms of method of treatment collected the original texts of 59 chapters on acupuncture to each disease and of 8 chapters on moxibustion in the Linshu "靈樞" and the Suwen "素問". Volume 3 includes 10 chapters in which consist of "the stabbing to disease in 12 meridians (十二經病刺)", "the eight extra meridian disease (寄經八脈病)", "the twelve meridians(十二經脈)", "the fifteen collaterals (十五絡脈), the twelve meridian muscles (十二經筋)", "the acupoint (孔穴)" and etc. This is the book edited comprehensively by classifying the contents on the theory of acupuncture and moxibustion and the circulations of meridians in "yellow emperor's canon of medicine and yellow emperor eighty-one difficult" and there is no case story in particular except his comments in person. This study is for the purpose of helping researching and developing acupuncture and moxibustion and applying their clinical training.

• 대한한의진단학회지
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• 제17권2호
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• pp.131-155
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• 2013

Objectives A study on the importance of observing face color in the Dongeuibogam and the other things to know when we observe face color. Methods We used Deyuk Dongeuibogam of Dongeuibogam publishing company from original photographic edition. Results (1) In all section(ex. Naekyungpyeon, Oehyeongpyeon and Japbyoungpyeon), the chapters related with observing face color were fifty-one. In Naekyungpyeon, the chapters related with observing face color were nineteen(37%). In Oehyeongpyeon, the chapters related with observing face color were ten(20%). In Japbyoungpyeon, the chapters related with observing face color were twenty-two(43%). In all section(ex. Naekyungpyeon, Oehyeongpyeon and Japbyoungpyeon), the statements related with observing face color were three-hundred and nine. In Naekyungpyeon, the statements related with observing face color were sixty-four(21%). In Oehyeongpyeon, the statements related with observing face color were fifty-two(17%). In Japbyoungpyeon, the statements related with observing face color were one hundred ninety-three(62%). (2) In each chapter, the number of statement related with observing face color was studied. Pediatric Chapter (75) were the most common, followed by The way of finding the cause of a disease (27) Face (26) Cold (24) Weak&Fatigue (12) Phlegm, Jaundice (8) Nose, Worm, Chronic indigestion (7) Mouth&Tongue, Woman, Stool (6) Bodyshape, Liver, Heart, Kidney, Cough (5) Eye, Carbunculosis (4) Blood, Voice, Spleen, Lung, Chest, Fire, Edema, Detoxification (3) in order. (3) In each section(ex. Naekyungpyeon, Oehyeongpyeon and Japbyoungpyeon), the rate of chapter related with observing face color was studied. Naekyungpyeon(73%) was the highest. Japbyoungpyeon(61%). Oehyeongpyeon(38%) was the lowest. Conclusions The importance of each chapter for observing face color in the Dongeuibogam was studied. In addition, the entire ocular inspection, the part ocular inspection, moisture and the difference of skin according to the personal constitution should be considered. There are not only the important parts of the past that does not mean but also the unimportant parts of the past that are meaningful now. Additional studies will be needed for the latter.

• 한국수학사학회지
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• 제16권3호
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• pp.1-26
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• 2003

Gougu Rule for the right triangles is the Chinese Pythagorean theorem. In the late age of the Chosun Dynasty, mathematicians of Chosun pioneered the study of the Chinese Nine Chapters and other advanced mathematical problems as well as the Easternism in spite of the various difficulties after the Imchinoeran(임진왜란), Chungyuchairan(정유재란) and Byungchahoran(병자호란) The technologies of the addition and addition twice are the methods of the solution of the problems in the right triangles. This paper is intended to introduce some problems using these methods of solution.

• 한국수학사학회지
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• 제16권1호
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• pp.9-16
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• 2003

This paper aims to investigate how Chinese and Korean evaluate $\pi$ and measure tile area of circle by reviewing the problems in the old mathematical books. The books are Gu-Jang-San-Sul(The nine chapters on tile mathematical art) for China and Gu-Il-Jib for Chosun Dynasty. The result shows that our ancestors used the different values of ${\pi}$ in relation to the accuracy and the various methods for measuring the area of circle.