中文摘要：

陶行知先生＂教学做合一＂理论形成于长期的教育实践中,有着强大的生命力和实用性,是陶先生生活教育理论的重要组成部分,是一个集理论与实践、思想性与方法论于一身的伟大思想,它在初等教育中有着广泛的应用,但在高等教育领域研究相对较少,尤其在高校数学教学中更是鲜见。文中介绍了＂教学做合一＂理论的特点以及在实变函数课程教学中的实践。

英文摘要：

TAO Xing- zhi＇s theory ＂ Combine Teaching, Learning, and Doing＂ is formed in the long - term educational practice, has strong vitality and practicality, which is the important part of TAO Xing - zhi＇s life education theory, and is a great thought with theory, practice, ideology, and methodology, and has a wide range of application in elementary education. However, it has little research in higher education, especially in teaching university mathematics. The paper introduces the characteristics of the theory ＂ Combine Teaching, Learning, and Doing＂, and its practice in teaching the curriculum of functions of real variable.