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前面我曾经提出“数学育人要用数学的方式”.主要用意是要让学生通过数学学习,学会数学地思考问题和解决问题的方法.那么,什么是“数学的方式”呢?下面通过一个具体例了谈谈我的思考.项武义先生说,“代数学所研讨的是数系的结构和各种公式,它们在本质上是逐步归纳、复合所构造而得者……代数学中的公式和定理绝大部分都是用归纳法由低次到高次,由一元、二元到多元逐步归纳而发现,然后再用归纳论证去确立其正确性.因此,归纳乃是整个代数学的基本大法和基本功.这里,归纳的含义是归纳地去探索、发现,然后归纳地定义,再归
Earlier, I once proposed ”the way mathematics should educate people to use mathematics.“ The main intention is to let students learn mathematics to think and solve problems mathematically. So what is the ”mathematical way“? The following is a concrete example to talk about my thinking.Mr.Wu Yi-yi said, ”Algebra is the study of the number of the Department of the structure and various formulas, which in essence are gradually inducted, compound constructed by those who ... ... Most of the formulas and theorems in algebra are inductive method from low to high order, from one yuan, binary to multivariate induction and found, and then use the inductive argument to establish its correctness. Therefore, induction is Is the basic law and basic work of the whole algebra.In this paper, the meaning of induction is inductively to explore, find, and then inductively defined, return