数学课程中的创新型人才培养方法研究

A Study on the Ways of Innovative Talents Cultivation in Mathematic Curriculum

文章针对数学类课程,从教学理念、教学措施、教学效果三个方面探讨了提高学生创新能力的教学方法,并以信息理论基础课程中事件信息量和信息熵为例,阐述在课堂教学中如何用数学建模的思想构建知识,用科学研究的方式引导知识在应用领域的提升。并以开放性作业为辅助和延伸,培养学生创新能力。从教学效果看,本方法适合数学基础较好的学生,适合小班教学。

This paper aims at studying the mathematic curriculum, discussing the method of teaching to improve students innovative ability from three aspects of teaching idea, teaching measures and teaching effects. Taking the event amount of information and the entropy of information in information theory basic course as an example, this paper explains how to construct the knowledge by using mathematical modeling thoughts and to gain improvements of knowledge applications in a scientific way in classroom teaching. In addition, opening tasks can be taken to cultivate students innovative ability as a way of aid and extension. From the teaching result, this method is suitable for students who have better mathematics foundation, especially for the small class teaching.