• Title/Summary/Keyword: mathematical book

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A Study on "Seung Aeh Ill Chan" ("승애일찬(升厓日纂)"에 관한 소고(小考))

  • Hwang, Sunwook;Yoon, Hyun-Ju;Chong, Chin-Kang
    • Journal for History of Mathematics
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    • v.27 no.1
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    • pp.31-45
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    • 2014
  • The book Su Hak Ip Mun(數學入門, Introduction to Mathematics) is one part of 5 sections of the book Seung Aeh Ill Chan(升厓日簒), which is a hand written manuscript in Chinese characters and the author and the date of writing is unknown. The book Seung Aeh Ill Chan begins with the song of division table so called Guguiga(九歸歌). We first investigate and compare the writing pattern of this with other old Korean mathematical books. Next, we investigate typical expression and calculation methods of mathematical contents and terminologies used in Su Hak Ip Mun and also figure out oddities of writing pattern of mathematical expression and cultural circumference of several problems dealt in the book. From these analysis and investigation, we estimate the writing date of Su Hak Ip Mun later than the year 1723 on which Su Ri Jeong On(數理精蘊) was first published. And we presumably guess that Guguiga and Su Hak Ip Mun are made not for practical use or theoretical purpose but for text to teach students.

Mathematics classrooms that students love, grade 1: Numbers and operations by Jinho Kim (2023)

  • Sheunghyun Yeo
    • Research in Mathematical Education
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    • v.27 no.1
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    • pp.151-156
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    • 2024
  • Mathematics Classrooms that Students Love, Grade 1: Numbers and Operations is a book that reviews student-centered educational strategies in mathematics, contrasting the teacher-centered approach. The book included lesson plans, transcriptions, and annotated comments for imperative instructional practices. Drawing from a range of effective instructional practices, it explores how student engagement and enjoyment in mathematics can be fostered through innovative lesson structures, activities, and discussions.

A Comparative Study for Elementary School Mathematics Activity Book in Accordance with the Curriculum (교육과정 개정에 따른 수학익힘책의 비교 분석)

  • Suh, Bo-Euk
    • Education of Primary School Mathematics
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    • v.13 no.2
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    • pp.99-111
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    • 2010
  • This study is on a supplementary textbook, a mathematics activity book which is first introduced in the fifth curriculum. There was three revision of mathematics activity book with the change of curriculum. On this study, the aim of introducing mathematics activity book, the direction of development, the organization system and the relation with curriculum were analyzed systematically on the basis of literature consideration.

Study on Pardies' 《ELEMENS DE GEOMETRIE》 (Pardies의 《기하 원론》 탐구)

  • Chang, Hyewon
    • Journal for History of Mathematics
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    • v.31 no.6
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    • pp.291-313
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    • 2018
  • This study aims to analyze Pardies' ${\ll}$Elements of geometry${\gg}$. This book is very interesting from the perspectives of mathematical history as well as of mathematical education. Because it was used for teaching Kangxi emperor geometry in the Qing Dynasty in China instead of Euclid's which was considered as too difficult to study geometry. It is expected that this book suggests historical and educational implications because it appeared in the context of instruction of geometry in the seventeenth century of mathematical history. This study includes the analyses on the contents of Pardies' ${\ll}$Elements of geometry${\gg}$, the author's advice for geometry learning, several geometrical features, and some features from the view of elementary school mathematics, of which the latter two contain the comparisons with other authors' as well as school mathematics. Moreover, some didactical implications were induced based on the results of the study.

Understanding of Gujang in the Gujang-Mundab of Ju-Seo-Gwan-Gyeon (<주서관견(籌書管見)>의 구장문답(九章問答)에서의 구장(九章)에 대한 이해)

  • Huh, Nan
    • East Asian mathematical journal
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    • v.37 no.4
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    • pp.427-441
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    • 2021
  • Ju-Seo-Gwan-Gyeon is a mathematical book of Chosun dynasty by Jo Tae Gu. This study is to analyze his understanding for the 'Gujang' in the 'Gujang-Mundab'. From this study, we were able to see the contents of 'Gujang-Mundab' that has been unknown in detail so far. In this study, the following facts are found. Most parts of 'Gujang' in 'Gujang-Mundab' was explained the same as Gu-Jang-San-Sul. This indicates that Ju-Seo-Gwan-Gyeon was influenced by Gu-Jang-San-Sul. However, Ju-Seo-Gwan-Gyeon also contains what he wrote with his own understanding. We expect that the results provide basic information for mathematics history in Korea.

삼각형의 변들에 대한 등식을 탐구하는 한 방법에 대한 연구

  • Gang, In-Ju;Han, In-Ki
    • East Asian mathematical journal
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    • v.28 no.2
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    • pp.197-213
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    • 2012
  • In this paper we study Soltan & Meidman's method that is able to be used in mathematical discovery. We analyze Soltan & Meidman's book "Tozdestva i Neravenstva v Treugolike" that is published in Moldova Republic. In this work we formulate Soltan & Meidman's method related with discovery of triangle's various equalities, and use the method to discovery mathematical equalities. As a result we suggest some new mathematical equalities related with triangle's sides and its proof.

조선 산학자 이상혁의 방정식론

  • 홍성사;홍영희
    • Journal for History of Mathematics
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    • v.17 no.1
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    • pp.1-14
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    • 2004
  • Iksan(翼算) written by Lee Sang Hyuk(李相赫, 1810∼\ulcorner) is unique among mathematical books published in Chosun Dynasty since it is the only book which accomplishes the conceptualization of theory of equations if not that of mathematics itself. We investigate its process by his other publications and mathematical interaction with Nam Byung Gil(南秉吉, 1820∼1869).

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중국 산학서 「대수술(代數術)」 권1(券), 권2(券)에 나타난 산법(算法)에 대한 고찰

  • Nam, Young-Man
    • East Asian mathematical journal
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    • v.28 no.4
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    • pp.475-485
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    • 2012
  • In this paper, we research contents of the ancient book ; Dae-su-sul (Algebra) compiled by Heng-Fang Hua(華衡芳) and translated by John Fryer(傅蘭雅). We find methods of calculation and algorithm in the first and second volume of Dae-su-sul, and investigate the influence on modern Korean mathematical development.