• 대한수학교육학회지:학교수학
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• 제5권2호
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• pp.209-221
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• 2003

본 연구는 수학 학습 과정에서 빈번하게 유발되는 학습자의 오류를 교사들이 간편하고 정확하게 진단하고 처방하는데 도움을 줄 수 있는 교사용 자료 개발의 필요성을 제안하고, 이를 통해 이 분야의 연구를 진작시키고자 한다 이를 위해 수학과 오개념 및 오류 관련 연구들을 종합 분석하여, 이를 토대로 교재개발의 첫 번째 단계라 할 수 있는 교재의 구성요소 및 체제를 제안하였다. 본 연구에서는 교사용 교재의 구성 요소로 (1)오류 유형 및 유형별 빈도수, (2)오류 진단지, (3)오류 원인 (4)예방 아이디어 (5)지도 아이디어 (6)연습지 (7)성취도 검사지 등의 7가지를 추출하였으며, 각 요소별로 현재까지의 연구 상황 및 미래 연구 방향을 제안하고 있다.

• 한국초등수학교육학회지
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• 제13권1호
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• pp.31-49
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• 2009

본 연구에서는 교육과정 속에서 수학교구의 구체적인 활용방안과 그 과정에 대해 연구하여 현행 교육과정에서의 수학교구 활용 수업에 도움을 주는데 목적을 두고, 수학교구를 수학수업에 활용한 후, 학습 능력 수준에 따른 학생들의 반응과 수학교구와 관련된 문제해결 과정에서 학습 능력 수준에 따른 교구 활용 의존도를 분석하였다. 그 결과, 수업이 진행되는 동안 모든 학습 능력 수준에서 높은 흥미도가 관찰되었고, 학습 능력 수준별로 교구를 활용하는 모습이 조금씩 다르게 나타났다. 또한, 학습 능력 수준이 낮을수록 높은 교구 활용 의존도를 나타내었으나, 교구에 대한 전적인 의존은 하 수준의 학생들에게 나타나는 무조건적인 현상이 아님이 관찰되었다.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권4호
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• pp.471-487
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• 2008

본 연구에서는 해석학 강좌를 운영하는 과정에서 얻어진 학생들의 수학적 발명의 사례를 제시하고 분석하여, 수학적 발명과 관련된 구체적인 교수-학습 과정, 얻어진 수학적 산출물들, 이들의 수학적 의의를 기술하였다.

• 한국수학사학회지
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• 제27권1호
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• pp.1-12
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• 2014

From the mid 17th century, Joseon mathematics had a new beginning and developed along two directions, namely the traditional mathematics and one influenced by western mathematics. A great Joseon mathematician if not the greatest, Hong JeongHa was able to complete the Song-Yuan mathematics in his book GuIlJib based on his studies of merely Suanxue Qimeng, YangHui Suanfa and Suanfa Tongzong. Although Hong JeongHa did not deal with the systems of equations of higher degrees and general systems of linear congruences, he had the more advanced theories of right triangles and equations together with the number theory. The purpose of this paper is to show that Hong was able to realize the completion through his perfect understanding of mathematical structures.

• 한국수학사학회지
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• 제28권5호
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• pp.233-248
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• 2015

Year 2014 was very special to Korean mathematical society. Year 2014 was the Mathematical Year of Korea, and the International Congress of Mathematicians "ICM 2014" was held in Seoul, Korea. The year 2014 was also the 330th anniversary year of the birth of Joseon mathematician Hong JeongHa. He is one of the best, in fact the best, of Joseon mathematicians. So it is worth celebrating his birth. Joseon dynasty adopted a caste system, according to which Hong JeongHa was not in the higher class, but in the lower class of the Joseon society. In fact, he was a mathematician, a middle class member, called Jungin, of the society. We think over how Hong JeongHa was able to write his mathematical book GuIlJib in Joseon dynasty.

• 한국수학사학회지
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• 제28권5호
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• pp.249-262
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• 2015

Simon Stevin, a mathematician active in the Netherlands in early seventeenth century, parlayed his mathematical talents into improving navigation skills. In 1605, he introduced a technique of calculating the distance of loxodrome employed in long-distance voyages in his book, Navigation. He explained how to calculate distance by 8 different angles, and even depicted how to make a copper loxodrome model for navigators. Particularly, Stevin clarified in the 7th copper loxodrome model on the unique features of equiangular spiral curve that keeps spinning and gradually accesses from the vicinity to the center. These findings predate those of Descartes on equiangular spiral curve by more than 30 years. Navigation, a branch of actual mathematics devised for the survival of sailors on the bosom of the ocean, was also the first step to the discovery of new mathematical object.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제25권2호
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• pp.159-164
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• 2022

Critical mathematics education has developed in many directions and has a broad range of approaches. There will probably be many different ways of expressing critical mathematics education. The book, An Invitation to Critical Mathematics Education by Ole Skovsmose (2011) has elucidated critical mathematical education by discussing and reinterpreting its concerns and preoccupations. He reinterprets thoughts and arguments that have been taken for granted and premised in mathematics education, and also discusses unquestioned widespread notions by associating them with his projects or specific practices carried out by him and his colleagues. This review intoduced and examined his crucial notions of critical mathematics education, such as "Diversity of situations," "Students' foreground, Landscapes of investigation," "Mathemacy," and "Uncertainty." These notions will make you to meet his theories with his pratices and look back on something overlooked in mathematics education.

• 한국수학사학회지
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• 제21권2호
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• pp.119-134
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• 2008

본 연구에서는 1709년 러시아에서 출판되었고, 다양한 작도문제의 해결방법이 기술된 '자와 컴퍼스의 방법'을 분석하였다. 이 책에 제시된 정삼각형, 정사각형, 정오각형, 정육각형, 정8각형, 정10각형의 작도방법을 소개하고, 이에 관련된 다양한 논의를 시도하였다. 이를 통해 정다각형 작도에 관련된 역사-발생적 연구를 위한 새로운 자료를 제공할 것으로 기대된다.

• 한국수학사학회지
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• 제29권3호
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• pp.147-155
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• 2016

Ancient books from East Asia, especially, Korea, China and Japan, are all written in Chinese. Ancient mathematical books like 九章算術(Gujang Sansul in Korean sound, Jiuzhang Suanshu in Chinese) is not exceptional and also was written in Chinese. The book 九章算術音義(Gujang Sansul Eumeui in Korean, Jiuzhang Suanshu Yinyi in Chinese), a dictionary-like book on 九章算術was published by official 李籍(Lǐ Jí) of 唐(Tang) dynasty (AD 618-907). We discuss how to pronounce Chinese characters based on 九章算術音義. To do so, we compare the pronunciation of the characters used in the words which are explained in 九章算術音義, to those of the current Korean and Chinese. Surprisingly, the pronunciations of the Chinese characters are almost all accordant with those of both Korean and Chinese.

• 한국수학사학회지
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• 제36권4호
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• pp.61-78
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• 2023

By virtue of the characteristics inherent in diagrams, diagrammatic reasoning has potential and limitations that distinguish it from general thinking. It is natural that diagrams rarely appeared in Joseon mathematical books, which were heavily focused on computation and algebra in content, and preferred linguistic expressions in form. However, as the late Joseon Dynasty unfolded, there emerged a noticeable increase in the frequency of employing diagrams, due to the educational purposes to facilitate explanations and the influence of Western mathematics. Analyzing the role of diagrams included in Jo Taegu's 'JuseoGwangyeon', an exemplary book, this study includes discussions on the utilization of diagrams from the perspective of mathematics education, based on the findings of the analysis.