八○八一学年度第一学期,天津市小学五年级算术《寒假作业》中有这样一道题:有物不知其数,三、三数之余二,五、五数之余三,七、七数之余二,物几何?这类问题称为“孙子定理”,外国人称“中国剩余定理”,计算这类问题,一般采用传统解法。可是,传统解法的推理和组数过程相当抽象和繁琐,小学生是很难掌握的。同时,传统解法本身还有很大缺陷。面对这些情况,我们进行了新的探索,找出了 In the first semester of the 8081 school year, there was such a question in the mathematics “Winter Vacation Operation” of the fifth grade primary school in Tianjin that there are things that are not counted, the rest of the number three or three, the remaining number five or five, or the seventh. Seventh, second, material geometry? This type of problem is called the “grandson theorem.” Foreigners call the “China’s remaining theorem.” In calculating such problems, traditional solutions are generally used. However, the process of reasoning and grouping of traditional solutions is rather abstract and cumbersome, and it is difficult for primary school students to grasp. At the same time, the traditional solution itself is still very bad. In the face of these conditions, we conducted new explorations and found out