In teaching, teachers should carefully prepare lessons, thoroughly understand the teaching materials, guide students to learn to walk by themselves, find out ideas, and let students know the connection between old and new knowledge, so as to deeply understand and master. Mathematics teaching is to guide students to transition from old knowledge to new knowledge, organize students to migrate actively, promote reasoning from known to unknown, understand the relationship between existing knowledge and complex problems, and train students' mathematical thinking with the logical relationship of mathematics discipline itself.

Second, many problems are difficult to understand and solve because we don't have a good grasp of the idea and method of combining numbers with shapes.

Mainly reflected in the learning of functions. Function is one of the contents that can best reflect the combination of numbers and shapes in junior high school mathematics learning. It is not difficult for teachers to guide students to grasp the shape and essence of the image, break the difficulties into parts and spread them out, so that students can feel the transition to nature one by one.

Third, the lack of understanding and mastery of some special knowledge points makes it difficult for students to learn.

Some special knowledge points have special solutions, and many students can't find the rules and grasp the characteristics, such as the translation of quadratic function images. Firstly, the quadratic function y=ax2+bx+c is transformed into the form of vertex y=a(x-h)2+k by using the matching method, and the key is to determine its vertex coordinates (h, k). (a) Translate y=ax2 by h units to the left (right) and then by k units to the up (down). (b) when k >, translate y=ax2 up (down) by k units, and then translate it to the left (right) by h units; 0, translation up, k0, translation to the right, h In short, in the specific teaching process, every teacher will encounter one problem or another, which the teacher thinks is very simple, but it may be difficult for students.