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湖南教育今年第一期上发表了梁康健和谢中若两位老师用递推法解剩余问题的文章,这是代数的解法。在小学里,学生没有代数的基础,我觉得用“布尔代数”的集合思想解剩余问题,对小学生更适合,因为可以帮助儿童加深对集合概念的认识;当然,这种方法有它的局限性,只有在所求的“最小正整数不大”时,才能显示其优越性。例如:某正整数被2除余1,被5除余2,被9除余3,求满足条件的最小正整数。
Hunan Education published the first issue of this year Liang Kangjian and Xiezhong if the two teachers recursive solution to the remaining problems of the article, which is the solution of algebra. In elementary school, students do not have the basis of algebra, and I think using the “Boolean Algebra” set ideology to solve the remaining problems is more suitable for primary school children as they can help children to deepen their understanding of the concept of a collection; of course, this method has its limitations , Only in the “minimum positive integer is not big”, can show its superiority. For example: a positive integer is divided by 2 in addition to 1, 5 divided by 2, divided by 9 9, find the smallest positive integer to meet the conditions.