First, learn to teach from thick to thin
The knowledge in the book is scattered, and some rules or general ideas can be summarized to solve the problem, so that students will not have the situation that dogs bite hedgehogs and can't speak when they see the questions. For example, when talking about compound application problems, application problems are a great difficulty, involving many types and applying many quantitative relationships. At this time, we should not just stare at the topic, but teach students some methods to analyze the application problems. There are two ways to solve compound application problems: analytical method and comprehensive method, or to deduce the final problem from known conditions; Either start from the problem and push it to the most primitive known conditions. For another example, solving application problems by using the method of column equation can be summarized into several categories, and then students can be taught to find the method of equivalence, so that complex knowledge can be divided into several categories and various topics can be treated with general regular knowledge, thus teaching textbooks from thick to thin.
Second, we should teach textbooks from thin to thick.
This is the process of expanding knowledge. For example, when it comes to compound application problems, we have summarized some rules or solutions, but compound application problems may involve many quantitative relations, but the analysis methods they use are only analysis and synthesis. We can use these two methods to analyze application problems involving different quantitative relationships, thus teaching students to solve different types of compound application problems. Realize the process of expanding knowledge. Another example is the review of basic knowledge of geometry. There are only some calculation formulas in the textbook, but the derivation process is not very specific. When reviewing this part, we should talk about the derivation process in detail and expand the knowledge in the textbook.
Third, strengthen the vertical connection between knowledge and knowledge, and combine horizontal and vertical connection.
Only by combining the horizontal and vertical connections between knowledge can we master knowledge comprehensively. For example, in the teaching of application problems, the vertical connection is more prominent in the process of beginners, which is divided into integers, decimals and fractions, but the horizontal connection is more prominent in the review of volume 12. How to combine the two? I think what application problems can be involved in the review book 12, so I will take out the textbook of this part of application problems for longitudinal review. Then review the relevant contents of volume 12. For another example, some application problems can be solved by arithmetic and equations at the same time, so that students can solve them in various ways, analyze them from various angles, strengthen the connection between the two solutions, and let students choose the method that suits them in comparison.
Fourth, we should protect the self-esteem of underachievers and take practical measures to improve their academic performance.
First of all, we should protect the self-esteem of underachievers. The underachievers lose the most points in every exam. These students have strong self-esteem and are the most vulnerable. Therefore, we should fully protect the self-esteem of these students. This requires teachers to be careful not to say sarcastic words when speaking, and give these students some encouragement appropriately. We should look at the underachievers in an all-round way and give them some encouragement whenever they make progress, so as to improve their self-confidence and interest in learning. Interest is the best teacher, which is very helpful to the progress of underachievers. Secondly, practical measures should be taken to improve the performance of underachievers. Teachers should ask these students more questions in class, give targeted counseling after class, and solve problems in time when they are found.