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在教学中有三种数学,一种是“分析与推理的数学”一种是“生活的数学”一种是“补习班的数学”佐藤学先生在他的书里列举过一个案例,说的是一位数学老师设计了一个学习过程,让学生了解先乘除后加减的运算法则。他让学生用传统的计算器计算一本本子加三支铅笔的总价,因为计算器没有办法处理先乘除后加减的运算法则,如果使用不当就会出错。但是在课堂上,有同学没有出错,因为他根本没有使用乘法,而是用了最简单的累计法。也有学生没有出错,原因是这
There are three kinds of mathematics in teaching, one is “mathematics of analysis and reasoning”, one is “math of life” and the other is “math of cram school”. Mr. Sato enumerated in his book In one case, it is said that a math teacher has designed a learning process that allows students to understand the algorithm of multiplication and division followed by addition and subtraction. He asked the students to calculate the total cost of a book and three pencils with a traditional calculator because the calculator had no means to deal with the arithmetic of first multiplication and division, addition and subtraction, and mistakes made if used improperly. However, in the class, some students did not make mistakes, because he did not use multiplication, but the simplest method of accrual. There are also students did not make mistakes, the reason is this