数学分析习题课教学探讨

A Pedagogical Exploration of Exercise-oriented Lesson of Mathematical Analysis

以普通高等院校数学教育专业的学生为平台,结合其数学基础相对薄弱的实际情况和教学实践,《数学分析》习题课教学应遵循的4条教学原则:其一,充分备课、严格选题、作业中的典型错误及时剖析纠正、不单纯讲评作业充分发挥习题课优势;其二,在进行《数学分析》课程教学和习题教学时,应"计算能力"和"分析能力"并重;其三,师生互换角色的动态教学方案;最后,习题课采取分层施教、小班施教的优势和原则.

Taking college students majoring in mathematics education whose mathematical basis are relatively weak as a platform, and in combination with their own teaching practice, some practical tips and techniques on how to successfully carry out an exercise lesson of mathematical analysis are put forth. Four fundamental teaching principles to follow in the lecture of Mathematical Analysis are as follows： firstly, lectures should be well-prepared and exercises carefully selected; typical mistakes in the exercises should be promptly analyzed and corrected without delay; attention should not he merely given to commenting of the exercises so that students could take full advantage of an exercise lesson; Secondly, the computing competence and the analytical competence should be given equal emphasis whether in the course teaching or in the exercise teaching of Mathematical Analysis; thirdly, the dynamic teaching scheme of teacher-student role exchange should be strongly advocated.. Finally, advantages of the stratified teaching and small-class teaching in exercise lessons and the corresponding principles are elaborated.