有两个问题是我们数学教师深感头痛的事:一是约分。学生能清楚地叙述约分的基本概念,也懂得计算的结果应该约分,可偏偏在实际演算中就忘得一干二净。二是列方程解应用题。学生对布列方程的方法能讲述清楚,所列出的方程有时却毫无道理。这究竟是什么原因呢?其实道理很简单,这两个问题对于初学的学生来说属于一种超常的要求,可教者却往往视为寻常,因而造成师生问较大的“意识差”。因为在 There are two problems that are deeply headache for our math teachers: First, about points. Students can clearly state the basic concepts of cadets and understand that the results of the cadets should be about the same. However, students may forget about the actual careers. Second, the column equation solution application problem. Students can explain the method of the Bain equation clearly, and the listed equations are sometimes unreasonable. What is the reason? In fact, the reason is very simple. Both of these two questions are unusual requirements for beginner students. However, teachers tend to regard them as common and thus cause teachers and students to ask larger “differences in awareness” . Because