中文摘要：

实变函数论是高等院校数学专业的一门基础专业课。对该课程教学中遇到的各种问题，本文从大量的教学实践中有针对性地提出几条切实可行的教学方法。这些方法能有效地激发学生的好奇心，提升学生的自信心以及提高学生的数学素养。

英文摘要：

Real variable function theory is a basic specialized course of mathematics of university.For all sorts of problems encountered in the course teaching,this paper put forwards several feasible teaching methods from authors'abundant teaching practice.These methods can effectively stimulate students'curiosity,improve the self-confidence of students and improve their mathematics accomplishment.