培养学生创新思维能力的教学设计与实践

The Practice and Design of Teaching Contents about Cultivating Students' Creative Thinking

培养学生数学思维创新能力、数学理解创新能力、数学应用创新能力一直是大学数学教学所追求的高要求、高目标.在教学过程中如何通过重构教学内容、革新教学方法来实现培养学生用数学语言、数学知识、数学技术去描述、解释自然现象是大学数学课程教学改革的一个主方向.本文通过一个具体的教学实例来分享如何在线性代数课程教学中实现培养学生的数学思维创新和数学理解创新.

To cultivate students＇ innovative ability in mathematical thinking, mathematical understanding and mathematical application have always been high targets and high demands pursued by college mathematical teaching. It is a main direction of teaching reform of university mathematics to reconstruct courses contents and innovate the methods of teaching in order to ensure students can use mathematical language, mathematical knowledge and mathematical techniques to describe and explain natural phenomena in the teaching processes. In this article, a specific teaching design can be used to share that how to cultivate the students＇ ability in mathematical thinking innovation and mathematical understanding during the teaching of the I.inear Algebra.