数学哲学在数学教育中的应用

在历史上,数学哲学对数学教育很少有直接影响,而现在,数学哲学的研究,已被置身于数学与社会相互作用的广阔背景上,因而若再不重视和探求数学哲学在数学教育中的应用,则将得不到社会需求所提供的发展动力。另一方面,本世纪30年代以后,关于数学基础的探索和研究,也为数学哲学在数学教育中的应用创造了条件,本文从理论上探讨了数学哲学在数学教育中的应用的途径与方法。

THE APPLICATION OF THE PHILOSOPHY OF MATHEMATICS IN MATHEMATICAL EDUCATION

In history, the philosophy of mathematics was more often than not studied specifically by mathematicians or philosopher. The aim of such studies lays in the solving of philosophical problems arising in the course of mathematical research, thus the philosophy of mathematics exerted little direct influence over mathematical education. Modern studies of the philosophy of mathematics have been placed on the broad background of interaction between mathematics and society. If the philosophy of mathematics could not find its application in mathematical education, it would lose its social support and thus lack momentum for further development. After the 1930's, the discussion about the foundation of mathematics was no longer the main trend in the studies of philosophy of mathematics. Instead the extensive philosophical consideration of the various internal factors in the development of mathematics prevailed. The achievemets of the studies created conditions for application of the philosophy of mathematics in mathematical education. In this paper, from theory the possible ways and methods of application of the philosophy of mathematics in mathematical education shall be explored.