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数学内容是抽象思维的结果,高度的抽象性和由此表现出来的形式化、符号化使得数学难懂、难教、难学.而基础数学的本质都是“精简朴实的,它们的根源都是自然而富有直观的内涵.”因此在教学中应将数学内容直观化,因为抽象离不开直观,抽象中如果看不出直观,一般说明还没有把握问题的实质.还应将数学内容简约化,表面看数学内容纷繁芜杂,但内核的东西却简约明了.将数学内容直观化、简约化,能让学生直入数学的本质,把数学的结果看出来.为了把数学结果看出来,必需对知识及其蕴含的思想方法有一种直观、直觉、迅速的理解,借助直觉思维或逻辑的推理达成对数学本质的认知.在内容的理
Mathematical content is the result of abstract thinking, a high degree of abstraction and the formalized and symbolized expression of mathematics make it hard to understand, hard to teach and hard to learn, while the essence of basic mathematics is simple and simple, their roots Are both natural and intuitive connotations. "Therefore, teaching mathematics should be visualized, because the abstract is inseparable from the visual, abstraction if you can not see the visual, the general description is not yet grasp the essence of the problem should also be mathematical The content is simplified, the surface of the mathematical content of the numerous and varied, but the kernel is simple and clear.Mathematics content visualization, simplification, allowing students straight into the nature of mathematics, the mathematical results to see.In order to see the mathematical results, It is necessary to have an intuition, intuition and prompt understanding of knowledge and its implication of thought, and to reach an understanding of the nature of mathematics by means of intuition or logical inference.