论文部分内容阅读
数学概念是现实世界中空间形式和数量关系及其本质属性在思维中得反映。恩格斯说:“在一定意义上,科学的内容就是概念的体系。”现代的一些学者认为:“数学的学习过程,就是不断地建立各种数学概念的过程。”人们对客观事物的认识一般是通过感觉、知觉形成观念(表象),这是感性认识阶段。再经过分析、比较、抽象、概括等一系列思维活动,从而认识事物的本质属性,形成概念,这是理性认识阶段。理性认识在实践的基础上不断深化,概念相应地进一步获得发展。概念可视为思维的细胞,理解与掌握概念是学好数学基础知识、提高数
The concept of mathematics is the relationship between the form and quantity of space in the real world and its essential attributes reflected in thinking. Engels said: “In a certain sense, the content of science is the system of concepts.” Some modern scholars think: “The process of learning mathematics is the process of continuously establishing various mathematical concepts.” " The awareness is generally through perception, perception forming ideas (appearances), this is the stage of perceptual awareness. After a series of thinking activities such as analysis, comparison, abstraction, generalization, etc., we can understand the essential attributes of things and form concepts. This is the stage of rational cognition. Rational understanding deepens on the basis of practice, and the concept is further developed accordingly. Concept can be regarded as thinking cells, understanding and mastery of the concept is to learn the basics of mathematics to improve the number