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分层竖式的第一次出现是在苏教版第五册两位数除以一位数的内容中。分层的原因在于直接用乘法口诀是找不到商的,只有分层后才能用表内除法求商,这也是竖式价值的第一次体现。竖式本身是非常抽象又简洁的符号,是一种经过简化的、合理的推理书写形式。竖式除法在四则运算中是最难的,原因有三:一是它运用了一种逻辑推理方法,即每一层都要通过乘、减来检验除的情况;二是从计算的方法来说,综合运用了除、乘、减的运算。由于三年级学生主要以形象思维为主,在具体的操作过程中,这
The first occurrence of a stratified vertical is in the double digit, divided by one digit, of the fifth edition of the Sujiao edition. Stratification is due to the direct use of multiplication formulas can not find business, and only after stratification can be used in the table division, which is the first manifestation of the vertical value. Vertical itself is a very abstract and simple symbol, is a simplified, reasonable inference writing. Vertical division is the most difficult of the four operations for three reasons: First, it uses a logical reasoning method, that is, each layer should be multiplied and subtracted to test the division; the second is from the calculation method , The integrated use of the division, multiplication, subtraction operation. As the third grade students mainly in the image of thinking mainly in the specific operation process, this