高等数学作为大学中的一门公共课,在教学过程中往往着重于知识点教授,而忽视了思维能力培养的具体体现。文章选取高等数学教材中的定积分的概念这个知识点,通过授课实例的形式注重培养学生在学习过程中的思维能力。在学习过程中展现生活的事例,让抽象的数学与具体的生活结合。 Higher mathematics, as a common course in university, tends to emphasize professor of knowledge point in the teaching process, while ignoring the concrete manifestation of thinking ability training. The article chooses the concept of definite integral in higher mathematics textbook as the knowledge point, and focuses on cultivating students’ thinking ability in the process of learning through the form of teaching examples. In the learning process to show examples of life, so that abstract mathematics and specific life combined.