例谈数学思想方法在课堂教学中的应用

On the Application of Mathematical Thought and Method in Classroom Teaching

在高等教育的体系中高等数学教育有很重要的地位,数学思想方法的教学以及体验在整个高等数学教学过程中对培养学生严谨的科学态度和积极的创新意识起着很重要的作用。从高等数学中"存在性"的教学以及博弈论中的一个经典例子为教学案例,引导学生体验并学会数学思想方法的作用。让学生在学习知识的同时,能够学会猜想及去验证猜测的正确性。

In the higher education systems, the Advanced Mathematics education has very important position. The teaching and experience of the mathematics thought and mathematics method plays a very important role in the whole process of higher mathematics teaching, which cultivated the students to have the rigorous scientific attitude and the positive innovation consciousness. From, By using higher mathematics 'existence' teaching and game theory in a classic example of case teaching,in this paper, we discuss how to guide students to experience and to learn mathematics method. At the same time, we must teach students not only learn knowledge, but also can learn to guess and verify guesses the correct.