Skip to main content
SpringerLink
Log in

History of Mathematics Education in East Asia in Premodern Times

  • Chapter
  • First Online:
Handbook on the History of Mathematics Education

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    The expression “nine numbers” probably refers to the multiplication table up to nine times nine.

  2. 2.

    The Chinese term for “heaps” refers to an accumulation of discrete objects in a certain geometric shape, whereas “volumes” refer to a continuous geometric solid.

  3. 3.

    The terminology here refers to the method of double false position.

  4. 4.

    Necessary to solve systems of linear equations.

  5. 5.

    Liu Hui’s commentary (dated 263) to the algorithm for square root extraction in the Nine Chapters of Mathematical Procedures makes use of colors to refer to the geometric entities in a square corresponding with the terms in the algorithm. See Chemla and Guo 2004, pp. 322–329).

  6. 6.

    The other course was “Studying the Nine Chapters”; modern mathematics was taught in Arithmetic, Algebra, and Differential and Integral Calculus.

References

  • Barber, W.T.A. 1888. A Chinese examination paper. North-China Herald, July 7: 15.

    Google Scholar 

  • Biggerstaff, Knight. 1961. The earliest modern government schools in China. Ithaca: Cornell University Press.

    Google Scholar 

  • Bréard, Andrea. 2001. On mathematical terminology – Culture crossing in 19th century China. In New terms for new ideas: Western knowledge & lexical change in late imperial China, Volume 52 of Sinica Leidensia, ed. M. Lackner, I. Amelung, and J. Kurtz, 305–326. Leiden/Boston/Köln: Brill.

    Google Scholar 

  • Bréard, Andrea. 2013. On the transmission of mathematical knowledge in versified form in China. In Scientific Sources and Teaching Contexts Throughout History: Problems and Perspectives, ed. A. Bernard and C. Proust, Boston Studies in the Philosophy and History of Science 301.

    Google Scholar 

  • Chemla, Karine, and Shuchun Guo. 2004. Les Neuf Chapitres sur les procédures mathématiques [Nine chapters of mathematical procedures]. Paris: Dunod.

    Google Scholar 

  • Cheng Dawei 程大位 (1533–1606). 1882. Zengbu Suanfa tongzong daquan 增補算法統宗大全 [Complemented collection of the unified lineage of mathematical methods]. Jingdu: 泰山堂 Taishantang ed.

    Google Scholar 

  • Cheng, Dawei 程大位 (1533–1606). 1990. Suanfa tongzong jiaoshi 算法統宗校釋 [Annotated edition of the unified lineage of mathematical methods]. Hefei: Anhui jiaoyu chubanshe 安徽教育出版社. Reprint of the 1716 edition.

    Google Scholar 

  • Cong, Xiaoping. 2007. Teachers’ schools and the making of the modern Chinese nation-state, 1897–1937. Toronto: the University of British Columbia Press.

    Google Scholar 

  • Elman, Benjamin A. 2000. A cultural history of civil examinations in late imperial China. Berkely and Los Angeles, California: University of California Press.

    Google Scholar 

  • Fryer, John. 1890. Scientific terminology: Present discrepancies and means of secure uniformity. Records of the general conference of the protestant missionaries of China held at Shanghai. Shanghai: American Presbyterian Mission Press. 7–20 May 1890, 531–549.

    Google Scholar 

  • Fryer, John, and Hua, Hengfang 華蘅芳. 1873. Daishu shu 代數術 [Algebra]. Shanghai: Jiangnan zhizao zongju 江南機器製造總局. Original: (Wallace 1842).

    Google Scholar 

  • Fu, Lanya 傅蘭雅 (Fryer; John) (ed.). 1895. Gezhi shuyuan xixue kecheng 格致書院西學課程 [Curriculum of western studies in the Shanghai Polytechnic Institute]. Shanghai: s.n.

    Google Scholar 

  • Hagman, Jan L. 2005. Schools and civil service in the Ming dynasty. In Hawaii reader in traditional Chinese culture, ed. V.H. Mair, N.S. Steinhardt, and P.R. Goldin, 494–504. Honolulu: University of Hawai’i Press.

    Google Scholar 

  • Hart, Roger. 1997. Proof, propaganda, and patronage: A cultural history of the dissemination of western studies in seventeenth-century China. Ph.D. thesis, UCLA.

    Google Scholar 

  • Hoe, John. 1977. Les systèmes d’équations polynômes dans le Siyuan Yujian (1303) [Polynomial equations systems in the Siyuan Yujian]. Paris: Collège de France.

    Google Scholar 

  • Horiuchi, Annick. 1998a. Les mathématiques peuvent-elles n'être que pur divertissement? Une analyse des tablettes votives de mathématiques à l’époque d’Edo [Can mathematics be only a pure recreational activity? A study of mathematical votive tablets in Tokugawa Japan]. Extrême-Orient, Extrême Occident 20: 135–156.

    Google Scholar 

  • Horiuchi, Annick. 1998b. Entre science et art, les écoles de mathématiques japonaises (wasan) au XIXe siècle [Between science and art : Schools of Japanese mathematics in the 19th century]. In Japon pluriel 2, Actes du deuxième colloque de la Société française des études japonaises, ed. J.P. Berthon et al., 247–256. Paris: Philippe Picquier.

    Google Scholar 

  • Horiuchi, Annick. 2010. Japanese mathematics in the Edo period (1600–1868), a study of the works of Seki Takakazu and Takebe Katahiro. Translated from French by Silke Wimmer-Zagier. Basel: Birkhäuser.

    Google Scholar 

  • Horng, Wann-Sheng. 1991. Li Shanlan: The impact of western mathematics in China during the late 19th century. Ph.D. thesis, City University of New York.

    Google Scholar 

  • Jami, Catherine. 1994. Learning mathematical sciences during the early and mid-Ch’ing. In Education and society in late imperial China, ed. B. Elman and A. Woodside, 223–256. Berkeley: University of California Press.

    Google Scholar 

  • Jami, Catherine. 2002. Teachers of mathematics in China: The Jesuits and their textbooks (1580–1723). Archives internationales d’histoire des sciences 52: 159–175.

    MATH  MathSciNet  Google Scholar 

  • Jami, Catherine. 2012. The Emperor’s new mathematics. Western learning and imperial authority during the Kangxi reign (1662–1722). Oxford/New York: Oxford University Press.

    MATH  Google Scholar 

  • Kawahara, Hideki. 2010. Chōsen sūgakushi : Shushigakuteki na tenkai to sono shūen 川原秀城、朝鮮数学史―朱子学的な展開とその終焉 [History of mathematics in Korea: Its Neo-Confuceanist development and its end]. Tokyo: Tokyo Daigaku Shuppankai 東京大学出版会.

    Google Scholar 

  • Lewis, W.J., W.T.A. Barber, and J.R. Hykes (eds.). 1890. Records of the general conference of the protestant missionaries of China held at Shanghai, 7–20 May 1890. Shanghai: American Presbyterian Mission Press.

    Google Scholar 

  • Li, Shanlan 李善蘭. 1880. Suanxue keyi 算學課藝 [Examination essays in mathematics]. Beijing: Tongwenguan 同文館.

    Google Scholar 

  • Li, Zhaohua 李兆華. 2005. Zhongguo jindai shuxue jiaoyu shigao 中國近代數學教育史稿 [A concise history of mathematical education in the late Qing dynasty]. Jinan: Shandong jiaoyu chubanshe 山東教育出版社.

    Google Scholar 

  • Mateer, Calvin. 1890. Records of the general conference of the protestant missionaries of China, held at Shanghai, 7–20 May 1890. Shanghai: American Presbyterian Mission Press.

    Google Scholar 

  • Mikami, Yoshio. 1931. Sekiryū sūgaku no menkyo dankai no seitei to hensen” 関流数学の免許段階の制定と変遷 [Establishment and evolution of degree system in Seki’s school mathematics]. Shigaku 史学, X-3 et X-4: 343–410, 585–633.

    Google Scholar 

  • Ministry of Education (Xuebu 學部) (ed.). 1906. Xuebu di yi ci shending chudeng xiaoxue zanyong shumu 學部第一次審定初等小學暫用書目 [Book list for temporary use in the elementary level of primary schools, established for the first time by the Ministry of Education]. Beijing: Xuebu.

    Google Scholar 

  • Ministry of Education, Department of General Affairs (Xuebu Zongwusi 學部總務司) (ed.). 1907. Di yi ci jiaoyu tongji tubiao: Guangxu sanshisan nian fen 第一次教育統計圖表光緒三十三年分 (First Statistical Tables on Education: 1907). Taipei : Zhongguo chubanshe 中國出版社 (China Press), 1973. [Reprint].

    Google Scholar 

  • Nihon Gakushiin (ed.). 2008. Meijizen Nihon sūgakushi 明治前日本数学史 (History of Japanese mathematics before Meiji era), 5 vols. Tokyo : Iwanami shoten岩波書店 (first edition 1956–60).

    Google Scholar 

  • Sakade, Yoshinobu 坂出祥伸, Yōichi Ogawa 小川陽一, and Tadao Sakai 酒井忠夫 [監修] (eds.). 2000. Chūgoku nichiyō ruisho shūsei 中國日用類書集成 [Compendium of Chinese daily life encyclopedias]. Tokyo: Kyūko shoin 汲古書院.

    Google Scholar 

  • Schneewind, Sarah. 2006. Community schools and the state in Ming China. Stanford: Stanford University Press.

    Google Scholar 

  • Wallace, William. 1842. Algebra. In The encyclopædia britannica or dictionary of arts, sciences, and general literature, 7th ed., vol. II, 420–502. Edinburgh: Adam and Charles Black.

    Google Scholar 

  • Wasan Institute (ed.). 2000. Jinkōki (translated from Japanese).

    Google Scholar 

  • Woodside, Alexander. 1983. Some Mid-Qing theorists of popular schools: Their innovations, inhibitions, and attitudes toward the poor. Modern China 9: 3–35.

    Article  Google Scholar 

  • Wright, David. 1996. John Fryer and the Shanghai polytechnic: Making space for science in nineteenth-century China. The British Journal for the History of Science 29: 1–16.

    Article  Google Scholar 

  • Wright, David. 1998. The translation of modern western science in nineteenth-century China, 1840–1895. Isis 89(4): 653–673.

    Article  Google Scholar 

  • Xu, Xinlu 徐心魯 (ed.). 1573. Xinke dingzheng jiazhuan mijue panzhu suanfa shimin liyong 新刻訂正家傳秘訣盘珠算法士民利用 [Newly engraved and corrected edition of the method of calculating on an abacus, with verses for memorization transmitted secretly through family, for the use of scholars and commoners]. Xiong Tainan 熊台南.

    Google Scholar 

  • Yoshida, Mitsuyoshi. (author), Ōya Shin.ichi (ed.). 1977. Jinkōki 塵劫記. Tokyo: Iwanami shoten 岩波書店.

    Google Scholar 

  • Yu, Xiangdou 余象斗 (ed.). 1599. Santai wanyong zhengzong 三台萬用正宗 (complete title: Xinke tianxia simin bianlan Santai wanyong zhengzong 新刻天下四民便覽三台萬用正宗). [Santai’s orthodox instructions for myriad uses for the convenient perusal of all the people in the world, newly engraved], Reproduced in [Sakade, Ogawa, and Sakai 2000] vols. 3–5.

    Google Scholar 

Additional References

  • For Vietnam

    Google Scholar 

  • Volkov, Alexei. 2008. Mathematics in Vietnam. In Encyclopaedia of the history of non-western science: Natural science, technology and medicine, ed. H. Selin, 1425–1432. Heidelberg: Springer-Verlag.

    Chapter  Google Scholar 

  • Volkov, Alexei. 2009. Mathematics and mathematics education in traditional Vietnam. In Oxford handbook of the history of mathematics, ed. E. Robson and J. Stedall, 153–176. Oxford: Oxford University Press.

    Google Scholar 

  • For Korea

    Google Scholar 

  • Kawahara, Hideki. 2010. Chōsen sūgakushi : Shushigakuteki na tenkai to sono shūen (History of mathematics in Korea: Its Neo-Confucianist development and its end). Tokyo: Tokyo Daigaku Shuppankai東京大学出版会.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire Paul Painlevé U.M.R., Université Sciences et Technologies Lille 1, U.F.R. de Mathématiques, 59655, Villeneuve d’Ascq, France

    Andrea Bréard

  2. Diderot-Paris 7, East Asia Civilizations Research Center, University of Paris, Paris, France

    Annick Horiuchi

Authors
  1. Andrea Bréard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Annick Horiuchi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Annick Horiuchi , Andrea Bréard or Annick Horiuchi .

Editor information

Editors and Affiliations

  1. Teachers College, Columbia University, New York, New York, USA

    Alexander Karp

  2. Universität Bielefeld Institut für Didaktik der Mathematik, Bielefeld, Germany

    Gert Schubring

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bréard, A., Horiuchi, A. (2014). History of Mathematics Education in East Asia in Premodern Times. In: Karp, A., Schubring, G. (eds) Handbook on the History of Mathematics Education. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9155-2_8

Download citation

Publish with us

Policies and ethics

Search

Navigation