Science & Education

, Volume 18, Issue 5, pp 631–640 | Cite as

Hands-on mathematics: two cases from ancient Chinese mathematics

Article
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Abstract

In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in ancient China is an abundant resource for materials to demonstrate mathematics by hands-on manipulation. In this article I shall present two cases that embody this idea of a hands-on approach in ancient Chinese mathematics, at the same time offering an opportunity to show how to utilize materials from the history of Chinese math in modern mathematical education.

Keywords

Chinese mathematics  Mathematical education  Principle of congruency  Series summation 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Department of PhilosophyShanghai Normal UniversityShanghaiChina

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