在这次北京市数学竞賽以后,不少中学生对于第二試的一些題目感到无从下手;不少教师不知用什么方法,才能使学生学会灵活运用知識。因此,我們就发生这样的問題:怎样才能学会灵活运用,怎样教学生灵活运用? 老实說,我也感到这問題很难回答,不禁使我想到孟子的話:“梓匠輪輿能予人規矩,不能使人巧”。我觉得予人“規矩”也就是教給人“一套方法”,或者說是“基本訓练”,看来还 After the Beijing mathematics competition, many middle school students couldn’t get started with some of the second tests. Many teachers did not know what methods they could use to enable students to learn to use knowledge flexibly. Therefore, we have such questions as: How can we learn to use flexibly and how to teach students to use it flexibly? To be honest, I also feel that this problem is difficult to answer. I can not help reminding me of Mencius’s words: “The craftsman’s wheel can give people the rules, Can not make people clever.“ I think that giving people ”rules“ is to teach people ”a set of methods,“ or ”basic training." It also appears that