First, pay attention to the foundation and grasp the understanding of core concepts.

1, the logic system of mathematics is very strict.

When we begin to learn a new chapter, many students focus on how to make a topic. When they encounter a problem that they can't do, they start to study from the examples in the teacher's class, often ignoring the most fundamental concepts and properties. The basic parts of these knowledge systems are the essence of this subject. Without mastering the core concepts, even if they can do some problems, it is like building a tower in the sand.

2. Deepen the understanding of important concepts

In other words, if you want to understand a concept, you need three examples to help you understand it. Namely: positive example, counterexample and special case. Among them, positive examples refer to examples that just meet the definition, neither more nor less.

The most representative; Counterexamples are inconsistent with the definition or unsatisfied under certain conditions, which leads to different conclusions, which helps us to better understand the causal relationship of conditional conclusions; The last special case is to attach other conditions to the definition and become a special case, which is often encountered the most. Special cases help us to strengthen our understanding, and at the same time form a general to special knowledge transfer, and grasp the essence of things.

Second, establish knowledge links.

1 is especially important for junior high school mathematics.

Mathematics should not be simply divided into algebra and geometry, but should organically combine number and algebra, graph and geometry, statistics and probability, synthesis and practice, and the difficulty is spiraling.

In other words, students will be exposed to these four modules every academic year. In the previous chapter, they were still studying geometry. In the next chapter, they may study functions, and then in the next chapter, probability statistics. This arrangement makes it easy for students to master only one knowledge point, but not form a complete knowledge system.

2. Pay attention to consciously applying mathematical knowledge to practical problems.

The integration and practice in the current curriculum standards emphasize the cultivation of this part of ability. In the current mathematics textbooks, there are also some examples and exercises combined with practical application at the back of each chapter. This part of the content is relatively exploratory, but it is often ignored by many teachers because it is difficult to take the exam. I hope students can consciously read and explore this part.