数学是一门基础学科,计算又是学习数学最重要的基础,而笔算则是进行复杂计算的一种重要方法。竖式既是笔算的外在形式,又是笔算的有效载体。深刻挖掘竖式的内涵,我们会发现竖式其实是一个“超级符号”。下面以人教版数学三年级下册“两位数乘两位数(不进位)”试论之。一、“可怕的”竖式从两位数乘两位数开始,竖式变得“可怕了”。很多学生在初学该内容的时候都会出现各式各样的奇葩错误(如图1~4): Mathematics is a basic discipline, calculation is the most important basis for learning mathematics, and pen arithmetic is an important method for complex calculations. Erection is not only the pen form of an external form, but also an effective carrier of pen calculations. Deep excavation of the vertical connotation, we will find that the vertical is actually a “super symbol ”. Following the third edition of the third edition of the People’s Education Pok “double digit by two digits (not carry) ” On the discussion. First, “terrible ” Vertical from two digits by two digits, the vertical becomes “terrible ”. Many students in the beginning of the content of a variety of wonderful mistakes (Figure 1 to 4):