“实变函数”课程的教学研究与实践

A Teaching Study and Practice on Course of Real Analysis

"实变函数"是数学专业的核心课程之一,讨论了该课程的四个教学实践心得:培养学生证明思维、辅助性阶梯式的教学设计、提炼思想以简化经典证明、倡导核心思想和关键技巧等。

Real Analysis is one of main courses in mathematics major.We discuss some teaching experience and practice on this course,for example,the method to cultivate students’proof thinking,auxiliary stepped teaching design,simplification of classical proofs by refining ideas,advocating core ideas and key skills in mathematics,etc.