习题:获取数学活动经验的一个切入口

Exercise:an Entrance to Acquire the Experience in Mathematics Activities

通过寻求习题与习题之间的内在联系,构建知识之间的内在联系以及这种联系方式是怎样寻求的,从而获取数学探索、发现和证明的数学活动经验。对非数学专业的学生而言,从习题入手,让他们获得数学活动经验是一条值得尝试的路径。本文根据教育理论,选用一些典型的例子,阐述了这种教学主张及其成效。

By seeking the intrinsic link among exercises and constructing the intrinsic relations among knowledge and how to seek the way of connection, it is a way to acquire mathematics inquiring, discovering and proofing experience in mathematics activities. For non - math majors, it is a worthy way to acquire experi- ence in mathematics activities through exercises. According to educational theory, some typical examples are given to explain these teaching ideas and its effectiveness.