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所谓化归思想方法,就是在研究有关数学问题时采用某种手段将问题通过变换使之转化,进而达到解决问题的一种方法。一般来说,总是将复杂问题通过变换转化为简单的问题,将难解的问题通过变换转化为容易求解的问题。将未解决的问题变换为已解决的问题。学生有了化归思想,就能从更深层次上去揭示知识内在联系,提高分析问题和解决问题的能力。数学高考试题注重“考基础,考能力、考思想”。中学的数学教学也愈来愈重视对学生“用数学”的意识和能力培养。所以,熟悉数学化归的思想,有意识地运用数学变换的方法去灵活解决有关的数学问题,将有利于强化在解决数学问题中的应变能力,有利于提高解决数学问题的思维能力和技能、技巧。教学中,力求用以下训练方法对学生进行化归思想训练,取得了较为满意的效果。
The so-called method of return to thinking, that is, in the study of mathematical problems using some means to change through the transformation so as to achieve a solution to the problem. In general, complex problems are always transformed into simple ones through transformations, and transformable ones into easy-to-solve ones. Transform unresolved questions into solved ones. With the change of thinking, students can reveal the inner connection of knowledge from a deeper level and improve the ability to analyze and solve problems. Mathematics entrance exam focuses on “test basis, test ability, test thinking.” Middle school mathematics teaching also pay more and more attention to the students “use mathematics” awareness and ability training. Therefore, being familiar with the idea of maths conversion, consciously applying the method of mathematical transformation to solve the related math problems flexibly will be conducive to strengthening the ability to respond to math problems, to improving their thinking skills and skills in solving math problems . Teaching, and strive to use the following training methods for students to return to ideological training, and achieved satisfactory results.