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在课堂上,我们应该教些什么?达到什么目的?知识无涯,而学生学习的时间是有限的,我们不可能把所有的知识教给学生,只有在有限的时间里传授给学生最有价值的知识,学生才会主动探索、自主地掌握学习方法。正像夸美纽斯说的那样:“教学的主要目的,就是要找到一种可以‘教师少教,学生多学’的方法。”那么,这种方法到底是什么呢?我认为,在数学学科中,最有价值的知识应该是书本中最基本的概念,概念间的结构联系以及在学习中所需要的最常规的数学思想方法。
What should we teach in class? What is the purpose? What is the purpose of knowledge? There is a limit to the amount of time a student can learn and we can not teach all of our knowledge to students. Only the most valuable Knowledge, students will take the initiative to explore, learn the method of self-learning. As Comenius said: “The main purpose of teaching is to find a way to” teach less and teach more. “” So what is this approach? In my opinion, In mathematics, the most valuable knowledge should be the most basic concepts in books, the structural connections between concepts, and the most common mathematical thinking methods needed in learning.