The curriculum standard divides the mathematical ideas and methods needed to infiltrate junior high school mathematics teaching into three levels, namely, "understanding", "knowing" and "knowing how to apply". The methods that require "understanding" or "being able to apply" include undetermined coefficient method, elimination method, reduction method, collocation method, substitution method and image method. In the whole teaching process, teachers should not only make students understand the application of these mathematical thinking methods, but also stimulate their curiosity and thirst for knowledge in learning mathematical thinking methods, and urge them to think independently, constantly pursue new knowledge, discover, propose, analyze and creatively solve problems. We should carefully grasp the different requirements of "understanding", "knowing" and "being able to apply", and be careful not to raise the level of "understanding" to the level of "knowing" and "being able to apply" at will, otherwise students will feel that their mathematical thoughts and methods are abstract and unfathomable when they first come into contact, which will dampen their confidence. There is no exact definition at present. In fact, in junior high school mathematics, many mathematical ideas and methods are consistent, and it is difficult to separate them. The two complement each other and contain each other, but the method is concrete and is a technical means to realize related ideas, while ideas belong to mathematical concepts and ways of thinking and are abstract. Therefore, in junior high school mathematics teaching, students should strengthen the understanding and application of mathematical methods to achieve an understanding of mathematical ideas. It is an effective way to integrate mathematical ideas and methods. For example, transforming ideas can be said to be the mathematics learning that runs through the whole junior high school stage, which is manifested as the transformation from the unknown to the known, from the general to the special, and from the local to the whole. Many mathematical methods are introduced into the textbook, such as substitution method, elimination method, induction method, mirror image method, undetermined coefficient method, collocation method and so on. In teaching, students should gradually understand the methods involved by learning specific mathematical methods. At the same time, the guidance of mathematical thought deepens the application of mathematical methods. The classified query of periodical articles is handled in the periodical database, so that "method" and "thought" can be combined with each other, and innovative thinking and spirit can be put into teaching, so that teaching can be fruitful. \x0d 1。 Infiltrate "method" and understand "idea". Because junior high school students have poor mathematical knowledge and weak abstract thinking ability, they put mathematics into practice.