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数学知识具有过程和对象的双重特性.数学知识的产生过程就是自然合理地提出问题和解决问题的过程,在这个过程中,需要充分的感性经验的积累,对感性经验进行数学描述、数学观察、数学实验、数学想像等直观思维操作,做出数学概括,然后对得到的结论进行逻辑判断,在这个过程中,数学突出地表现出它的实践性和逻辑性;数学知识本身是个体建构的数学对象的意义,是对数学对象的个性化的理解,而且往往具有抽象的符号特征,正因为数学知识是高度抽象的产物,因此它具有广泛的应用,知识本身体现了
Mathematical knowledge has the dual characteristics of process and object.Mathematical knowledge production process is naturally and reasonably put forward the problem and solve the problem in the process, the need for the accumulation of perceptual experience, the emotional experience of mathematical description, mathematical observation, Mathematical experiments, mathematical imagination and other intuitive thinking operations, make a mathematical summary, and then make a logical judgment of the conclusions obtained in this process, mathematics highlights its practicality and logic; mathematical knowledge itself is the individual construction of mathematics The meaning of the object is the individual understanding of the mathematical object, and often has abstract symbolic features. Because of the highly abstract mathematical knowledge, it has a wide range of applications, and knowledge itself