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所谓前思,是指在解决数学问题的过程中,不是急于依据题设条件进行常规的解题,而是在正式解题之前对问题的特征和实质进行充分的思考.下面就如何培养学生的前思习惯谈几点做法.1 让学生在前思中“挖” 我们知道,数学问题中常常蕴藏着一些不易察觉的隐含条件,这些条件能否及时挖掘出来,是衡量思路正确与否的重要标志,也是能否获得最佳解题途径的根本所在.因此,让学生在前思中学会“挖掘”
The so-called former thinking means that in the process of solving mathematical problems, it is not eager to conduct routine problems based on the conditions of the questions, but before the formal problems are solved, the characteristics and essence of the problems are fully considered. Here is how to train students. Former thinking habits to talk about a few points. 1 Let students dig in the former thinking We know that mathematics problems often contain some implied hidden conditions, whether these conditions can be excavated in time, is to measure the correctness of the ideas or not The important sign is also the basis for the best way to solve the problem. Therefore, let students learn to “excavate” in the previous thinking.