关于微分形式不变性的教学思考

Some Teaching Thoughts on the Invariance of Differential Form

为了帮助学生正确理解微分形式不变性的本质,主张教师应在相关教学中注重加强建立形式与内容之间的联系,深入阐释形式化符号表达的巧妙,并培养学生积极调用数学经验与数学直觉来解决有关问题.

To assist a correct understanding of the nature of the invariance of differential form, we suggest that the relationship between the form and the content should be strengthen in the teaching process, and symbolic expressions should be further elaborate and skillfully used. The aim is to train students＇ ability of using mathematical experience and intuition actively to solve related problems.