基于研究性学习的数学分析教学实践

Teaching Practice of Mathematical Analysis Based on Research Study

研究性学习是指学生在教师指导下，选择和确定研究专题，主动地获取知识、应用知识、解决问题的一种学习方式．研究式教学是教师在组织教学活动的过程中，不断渗透科学研究的方法，以研究的方式，引导学生学会用数学的思维发现问题并解决问题．高师数学分析课程既要传授知识，更要教授学生思考的方法，研究性学习和研究式教学要渗透到数学分析的概念、定理及习题教学的各个方面，波利亚的解题“四阶段”为数学分析定理教学提供了可借鉴的手段．开展研究性学习和研究式教学有利于创新人才的培养．

Research study is a way of study to choose and set the research a subject to acquire knowledge and apply it to solve a problem under the guidance of teachers. Research teaching model means to infiltrate the method of scientific research constantly and guide the students to find and solve the problem with mathematical thinking by the way of research in the teachers＇ process of teaching organization. The course of mathematical analysis in higher colleges is to teach knowledge and to teach students＇ way of thinking even more. We will infiltrate research study and research teaching model into all the respects of its concepts, theorems and exercises teaching. The G.polays＇4-phase solution provides reference to the theorem teaching in the course. It is beneficial for the cultivation of creative talent to have this research study and research teaching model.