运动的观点在高等数学教学中的运用

The Application of Dynamic Viewpoints in Academic Mathematics Teaching

高等数学是关于变量的数学,它研究的对象是变量和图形的变化,并且由于引进了极限运算,它的研究方法是动态的、联系的,因而是辨证的。因此,在教学中要引导学生改变以往的思维模式,一是启发他们用运动变化的观点思考问题,理解概念、定理。二是想象让图形“活动”起来,使抽象理论变得具体生动,增强直观形象性。在动态意义下培养数学审美意识,激发创造精神。

Applying the extreme limit to calculate, academic mathematics belongs to dialectic variable mathematics that studies the changes of variables and diagrams through dynamic and interrelated research methods Based on the characteristics of academic mathematic, teachers firstly should help students to improve the traditional mode of thinking and guide them to understand the concepts and axioms dynamically. Through dynamic thinking, teachers then should develop students＇ sense to appreciate beauty and the spirit to create. Therefore teachers also should make static diagrams ＇moving actively＇ in students＇ thinking continuum so that students can command the abstract theories of academic mathematics dynamically.