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奥加涅相在《中小学数学教学法》一书中说道:“必须重视,很多习题潜在着进一步扩展其数学功能、发展功能和教育功能的可能性……。”日常教学中注意习题的功能,防止学生为做题而解题,应该根据习题的特点,把思路延伸下去,从习题各方面类比、联想、发散推广……,引导学生发现和探索到问题的内在联系及其规律性,从而大大地提高学生的能力,这是我们在教学中应该注意的一个方面。下面就我在初中数学课本《几何》第一册的几道习题的教学中的一些做法作简单的介绍,供参考。
In the book “Mathematics Teaching Methods for Primary and Secondary Schools”, Oganezian said: “Must pay attention to the fact that many exercises may further expand the possibilities of mathematical functions, developmental functions, and educational functions....” The function of learning exercises in everyday teaching In order to prevent students from solving the problem in order to solve the problem, they should extend their thinking according to the characteristics of the problem, draw analogy from all aspects of the problem, associate it with others, promote diffusion, and guide students to discover and explore the internal relationship and regularity of the problem. Greatly improve students’ ability. This is one aspect that we should pay attention to in teaching. The following is a brief introduction to some of the practices in the teaching of my exercises in the first volume of Geometry in the junior middle school mathematics textbook for reference.