实变函数课题式教学研究

Project-Based Instruction for Real Variable Functions

课题式教学可以有效地解决课程的完整性与课时数不足之间的矛盾,实变函数课题式教学首先需要引导学生了解实变函数的产生与发展以及面临的重要问题.理清实变函数的主要脉络、把握实变函数的主要思想方法.通过测度论课题式教学案例说明如何实施课题式教学.强调不仅要学会发现问题,同时还能对问题的重要性与科学价值进行甄别,在分析问题的过程中学会思辨,掌握科学的思维方法.

Project-based instruction can effectively deal with the tension between the entirety of content coverage in a course and insufficient allocation of time for the course.Project-based instruction of the real variable functions first needs to guide students to understand the historical development of the real variable function and the usefulness of applying them to solve problems faced.It requires of identifying big ideas in real variable functions and understand major thought processes.Through presenting a teaching case of measure theory,this paper explains how to actually design and deliver project-based instruction.Through the teaching case,it emphasized not only the facilitation of fostering students’problem posing,but also identifying the value and importance of the posed problems,hence,help students to learn how to reason and think mathematically.