Don't worry too much if you don't have a foundation in advanced mathematics, because most students who have been promoted to undergraduate courses have come over like this. Review method of mathematics foundation: we must attach importance to the foundation. Mastering and understanding basic knowledge is the key to solving problems successfully. On the basis of understanding the basic definition, there are many problems to be done to achieve the consolidation effect; You can't just watch practice, but pay attention to brushing more questions; When encountering problems, make records and solve them on the same day; Pay attention to summing up, thinking and induction after brushing the questions.
When reviewing mathematics, we must pay attention to the basics.
Many students think that the basic theorems, principles, formulas and definitions need not be read, let alone understood, as long as the sea tactics are enough.
First of all, this idea is completely wrong. Every problem consists of theorems, principles, formulas and definitions. Different combinations form different problems, and different levels of combinations form different problems. Mastering and understanding basic knowledge is the key to solving problems successfully. On the basis of understanding the basic definition, do a lot of questions to achieve a consolidated effect. If solving problems is regarded as chopping wood, then mastering and understanding the basic knowledge is the process of sharpening the knife.
You can't just watch without practicing, you should pay attention to brushing more questions.
Some students obviously watched many online courses and videos, but they still couldn't get high marks because they didn't start calculating. In fact, mathematics is not a difficult problem in the exam, but it is often moderately difficult. Many of them are basic questions and complicated calculations. Without strong calculation ability, it is difficult to win in the exam.
Some students feel that it takes time to do a big math problem when reviewing. Sometimes they simply write down their own ideas and think that this problem can be done, so they quickly skip it and make a superior mistake.
Therefore, when reading textbooks or online classes, we must do every question carefully, even if it is very complicated, and we must have the patience to work out the correct answer.
This process can not only improve the computing power, but also find some missing knowledge points that have not been noticed before. After all, if you just look at it, you will still ignore the details. If you do it by hand, some knowledge points you don't understand will be reflected in the questions, which will be more helpful for review.
When you encounter problems, you should make records and solve them on the same day.
One problem does not necessarily lead to a series of problems. Don't! Everyone understands the truth, but it is easy to delay the implementation of math review because of such and such problems.
For example, if you are lucky enough to think that this question may fail, you must give up this idea and master the knowledge points in a down-to-earth manner. Only when you go to the examination room can you have a solid mind and have answers, instead of looking forward to this knowledge point in your heart, so don't take the exam.
Or because I'm afraid of difficulty, this question looks very difficult, so I'm not good at doing this kind of problem, so let's put it aside first. Fear of difficulties needs to be overcome slowly. Mathematics review is like upgrading and playing tricks. It is a process of constantly encountering problems and solving them.
Often we find the problem difficult, but after we really master it, we find it is just so. When you can't do it and no one asks, you can write it in a conspicuous position or in the wrong book, and then look through it after a while to see if you can do it now.
Pay attention to summing up, thinking and induction after brushing the questions.
Thinking is an important way to learn mathematics, especially to do problems. If you don't insist on thinking, association, analogy and summary, it is only equivalent to endorsement.
Mathematics is to test your application of knowledge points, to understand these knowledge points, and then to solve problems, and to consolidate what you have learned through solving problems. I couldn't solve the problem at first, so I had to hold my breath and think for myself first.
By thinking about integrating knowledge points, you will gradually refine your thinking, and it will be much smoother to solve such problems in the future. Every time you think, you will deepen your impression and gradually form your own knowledge system.
In a word, mathematics is a thinking discipline, logical thinking ability is the core of mathematical ability, and computing ability is the basic ability to solve problems.