在反思中教学数项级数敛散性的概念

Reflection Method for Numerical Series Convergence Teaching

反思是数学活动的核心和动力,学生只有在学习中反思,在反思中学习,才能形成数学思维,才能学会学习;教师只有在行动中反思,在反思中行动,才能成为"研究型的教师",才能学会教学.学生在学习数项级数敛散性概念的过程中,往往因为未能很好地实现与概念扩展相对应的观念更新,而不能深刻地理解数项级数敛散性的概念.为解决此问题可考虑采取以下举措:一是结合Koch雪花的面积和周长问题引起困惑,产生数学反思;二是结合级数敛散性问题乘兴追问,深化数学反思.

Reflection method cbuld be used for teaching the convergence of numerical series. Resorting to the area and volume of Koch snowflake, puzzle is caused to producing mathematics reflection, and then, resorting to other problems in numerical series convergence or divergence, closely examining is taken to deepen mathematics reflection.