Concept is the cornerstone of mathematics. Learning concepts (including theorems and properties) requires not only knowing why, but also knowing why. Many students only pay attention to memorizing concepts and ignore their own background, so they can't learn math well. For every definition and theorem, we should know how it comes from and where it is used on the basis of remembering its content. Only in this way can we make better use of it to solve problems. To understand the concept deeply, you need to do more exercises. What is "doing more exercise" and how to do it? Please refer to recommendations 2 and 3.
Recommendation 2: Read more examples.
After explaining the basic content, the math teacher will always give students some extra-curricular examples and exercises, which is of great benefit. The concepts and theorems we learn are generally abstract. In order to make them concrete, we need to apply them to the theme. Because students have just come into contact with this knowledge and have not used it skillfully, examples will play a role. However, because the examples added by the teacher are very limited, we should find some examples ourselves, and we should pay attention to it: we can't just look at the skin, not the connotation. When we look at the examples, we should really master the methods and set up a broader idea of solving problems. We should combine thinking with observation. Let's look at an example. After reading the questions, we can think about how to do it first, and then compare the answers to see what our ideas are better than the answers, so as to promote our improvement, or our ideas and answers are different. We should also find out the reasons and sum up experience. Examples of various difficulties are taken into account. Looking at examples step by step is the same as "doing problems" in the back, but it has a significant advantage over doing them: examples have ready-made answers and clear ideas, and you can draw conclusions as long as you follow their ideas, so you can look at some skillful, difficult and difficult examples, such as competition problems with moderate difficulty, without exceeding what you have learned. This can enrich knowledge and broaden thinking, which is very helpful to improve the comprehensive application ability of knowledge. Reading examples is a very important link to learn math well in senior two, which can't be ignored.