吃透教材——这是每一位数学教师都知其含义的教学共识.然而,在备课中,怎样做才算吃透了教材,却是一个三言两语很难回答更难付诸于行的问题,是多年来在应试教育的钳制下,绝大多数数学教师难能过问的一个被冷落了的大课题.山穷水尽疑无路.令人眼睛一亮的是,薛茂芳教授历时半个多世纪研究的专著,光明日报出版社于近期出版的《数学概念及其教学(修订版)》(以下简称《概念》)一书,就如何吃透“数学概念”这部分教材,为我们提供了一个系统完整的理性答案.常听薛茂芳先生说:“教数学而不过问数学是什么,不可能教好数学.”他认为,数学教学方法首先来自 It is a teaching consensus that every teacher of mathematics knows its meaning. However, what can be done in preparation for a lesson is a difficult lesson to answer in answer to the question that is more difficult to put into practice Over the years under the test-oriented education, the vast majority of mathematics teachers can hardly be asked a major issue left out .There is no way out of mountains and rivers .It is eye-catching, Professor Xue Maofang lasted more than half a century of monographs , Guangming Daily Press recently published in the “concept of mathematics and its teaching (Revised Edition)” (hereinafter referred to as “concept”) a book on how to eat through “Mathematics Concepts ” this part of the teaching materials, provides us with a complete system The rational answer often heard Mr. Xue Maofang said: “Teaching mathematics but not what is the mathematical, mathematics can not be taught.” He believes that the first method of teaching mathematics from