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History of Mathematics Education in East Asia in Premodern Times

Keywords

  • Mathematical Education
  • Seventeenth Century
  • Sixteenth Century
  • Qing Dynasty
  • Ming Dynasty

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  • DOI: 10.1007/978-1-4614-9155-2_8
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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.

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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

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