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根据数学发展的历史,无论是数学的概念,还是数学的运算与规则,都是由于现实世界的实际需要而形成的。数学不是符号的游戏,而是现实世界中人类经验的总结。数学来源于现实,因而也必须扎根于现实,并且应用于现实。数学如果脱离了那些丰富多彩而又错综复杂的背景材料,就将成为“无源之水,无本之木”。史宁中认为,数学思想主要有三个:一个是抽象,就是把与数学有关的东西引入数学的内部,学过数学的人抽象能力比较强;一个是推
According to the history of mathematical development, both the concept of mathematics and mathematical operations and rules are formed due to the actual needs of the real world. Mathematics is not a symbolic game, but a summary of human experience in the real world. Mathematics comes from reality and must therefore be rooted in reality and applied to reality. Mathematics, if separated from those colorful and intricate background material, will become “passive water, woodless ”. Shi Ningzhong believes that there are three main mathematical ideas: one is abstract, that is, what is related to mathematics is introduced into mathematics, mathematics is more abstract abilities of people; one is to push