1, to learn mathematics well, we must first develop the habit of previewing. This is a good way for me to study mathematics for many years, because I know what I can't do by learning what the teacher should say first in advance, and I have a focus when I study. Of course, it would be better if you taught yourself completely.
2. do exercises. Preview is not an end. If you have time, you can do examples and exercises after class and check the preview. If you can explain everything, you can learn it. Even if you can't, you can listen to the teacher again.
3. Do the homework assigned by the teacher and do it carefully. When you do it, you can write the problem-solving process directly next to the topic, such as multiple-choice questions and fill-in-the-blank questions, because there are many blanks to write in the solution. The advantage of this is that the teacher can keep up with the ideas when talking about the topic, and it is not easy to get distracted.
4. just sort out the wrong questions. After every exam, there are always many wrong questions. For these questions, don't think that you will do them if you understand them in class. It's easier to see flowers than to embroider. You will know if you can do it yourself. Moreover, we should refer to the wrong questions in the reference book and re-learn the knowledge.
5, it is to check the lack of traps. After doing a lot of exercises, our math scores have improved, but there are still some problems we can't do. We should be good at finding out which types of problems still have blind spots and then break them one by one.
6, is to master some math problem-solving ideas. Many problems in mathematics are fixed or have multiple solutions, so we should be good at finding and summarizing them, such as induction and classified discussion.
Definition:
Aristotle defined mathematics as "quantitative mathematics", which lasted until18th century. /kloc-since the 0/9th century, mathematical research has become more and more rigorous, and it has begun to involve abstract topics such as group theory and projection geometry that have no clear relationship with quantity and measurement. Mathematicians and philosophers have begun to put forward various new definitions.
Some of these definitions emphasize the deductive nature of a lot of mathematics, some emphasize its abstraction, and some emphasize some themes in mathematics. Even among professionals, the definition of mathematics has not been reached. Whether mathematics is an art or a science has not even been decided. Many professional mathematicians are not interested in the definition of mathematics or think it is undefined.