People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
At the same time of discussing on three functions of mathematical beauty, this paper enlightens people to discover, pursue and use the beauty in mathematics.
文章在论述数学美的三种功能的同时，启发人们去发现、追求、运用其中的美。
Thus trained people of 21 centuries should be all-around intellects, able to intelligently and creatively control the "mathematical techniques" and combine the Mathematics and Computer extensively.
因而21世纪培养的人才应该是能够掌握“数学技术”并将数学与计算机广泛结合的智能型、创造型的复合人才。
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