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这里所指的美学是狭义的,仅以数学本身所具有的美育品质出发,引导学生从认识美,鉴赏美到进行简单的美的创造.用我们“MM”实验的术语来讲:就是把“MM因子”转化为“MM可控变量”并期望用一定水平的状态变量反映出来.数学中的美学因子:数学中存在美,它的表现形式为对称和谐美、严密抽象美、简洁统一美,这些通常为美的表现形式,法国数学家彭家勒称之为“雅致”.这是一种静态的美.数学中还存在另一种动态的美:由简导至奇,由奇产生美(美感),由美通向真,而简、美、真的变化过程,反映了数学动态的美,揭示了美的规律.
The aesthetics referred to here are narrowly defined, and only proceed from the quality of aesthetic education that mathematics itself has, and guide students from understanding the beauty and appreciation of the beauty to the creation of simple beauty. In terms of our “MM” experiment terms, it means “MM. “Factor” is converted into “MM controllable variable” and it is expected to be reflected by a certain level of state variables. Mathematical aesthetic factors: There is beauty in mathematics, and its manifestations are symmetrical and harmonious beauty, strict abstract beauty, and simple unified beauty. It is usually a form of beauty. The French mathematician Peng Gele called it “elegant”. This is a static beauty. There is another dynamic beauty in mathematics: from simple to extraordinary, from strange to beautiful ), from the United States to the truth, and Jane, the United States, the true course of change, reflects the dynamic beauty of mathematics, revealing the beauty of the law.