论文信息 - Proof and pedagogy in ancient China: Examples from Liu Hui's commentary on JIU ZHANG SUAN SHU

Proof and pedagogy in ancient China: Examples from Liu Hui's commentary on JIU ZHANG SUAN SHU

Through the discussion of several examples from Liu Hui's commentary on the ancient Chinese mathematical classics JIU ZHANG SUAN SHU this article attempts to illustrate the pedagogical implications embodied therein, mainly the aspects of proof in ancient Chinese mathematics and more generally the role of proofs in mathematics.

Man-Keung Siu | M. Siu

[1] An early Chinese derivation of the volume of a pyramid: Liu Hui, third century A.D. , 1979 .

[2] S. Balke,et al. Neun Bücher arithmetischer Technik , 1968 .

[3] Philip J. Davis,et al. The Mathematical Experience , 1982 .

[4] Áarpáad Szabóo. Greek Dialectic and Euclid's Axiomatics , 1967 .

[5] R. L. Wilder,et al. Evolution Of Mathematical Concepts , 1968 .

[6] S. Balke,et al. Chiu Chang Suan Shu / Neun Bücher Arithmetischer Technik , 1968 .

[7] Earl Swisher,et al. China in the sixteenth century: the journals of Matthew Ricci; 1583 - 1610 , 1954, The Far Eastern Quarterly.

[8] Gila Hanna,et al. Rigorous proof in mathematics education , 1983 .

[9] John N. Crossley,et al. Chinese Mathematics: A Concise History , 1987 .

[10] Proof, pedagogy, and the practice of mathematics in medieval Islam , 1990 .

[11] D. B. Wagner. Liu Hui and Tsu Keng-chih on the Volume of a Sphere , 1978 .