In my opinion, part of the reason why teachers do this is to enter the exam. After all, test scores are very important for high school students, and doing and recording questions can really help the exam. Part of the reason may be that she wants you to absorb the knowledge yourself in the process of doing the problem, which is more impressive.

Specific standards are difficult to define. For high school students, knowing how to do exam questions should be the standard, as long as it does not exceed the high school mathematics syllabus.

Some people are suitable for reciting questions, while others are more suitable for building knowledge networks and using principles to solve problems. See which one suits you. If you find it easier to answer similar questions by writing questions in the exam, then write more questions. Practically speaking, after all, high school students' exams are important, and it is important for them to combine the two. I have a math expert who doesn't necessarily know a certain knowledge, but she is good at solving problems and knows how to look at similar problems.

As far as my personal experience is concerned, if time is not too tight, I still suggest that I think about it, try to deduce or prove the formula, and think about why this problem needs this knowledge, use this solution, and whether there are other solutions. I think that when I have a thorough understanding of the principle, I can make more use of my knowledge in a sense, which will help me to do some problems that I have never seen before. Knowing the principle, the method will be flexible, or I may know how to do it after thinking about it.