定积分概念的建模教学法

The modeling method of the concept of definite integral

要教会学生如何用所学的数学知识去解决实际问题,教学过程中的数学建模思想必不可少,在概念教学中不妨使用建模教学法,把数学与实际问题的解决紧密结合起来,既培养了学生的数学修养,又培养了学生运用数学的能力。下面以定积分的概念为例,通过数学建模的方法去讲解,让学生看到概念脱胎于实际的过程,从而对数学的学习作用进一步理解,激发了学习数学和运用数学的兴趣。

To teach students how to use mathematical knowledge to solve practical problems, the essential mathematical modeling thought in the teaching process, may wish to use the modeling teaching method in the teaching concept, to solve the mathematics and practical problems are closely combined, can not only cultivate students mathematics training, and cultivate the students' ability to apply mathematics. The following concept to the definite integral as an example, through the mathematical modeling method to explain, let students see the concept originated in the actual process, so as to further understand the role of mathematics learning, stimulate their interest in mathematics and applied mathematics.