How to teach advanced mathematics with zero foundation? You must first make up the elementary mathematics (algebra, solid geometry, trigonometry, plane analytic geometry) in high school. Advanced mathematics is completely different from high school mathematics. Knowing doesn't mean you can do the problem, but the exam is the problem, so you should learn to do it.
It takes 1 week to finish the textbooks of all grades in primary schools. Then finish learning junior high school textbooks in half a month. Spend a week sorting out the framework of high school textbooks, and then study according to high mathematics textbooks. The order is to learn a period of high school mathematics first, and then a period of advanced mathematics. Wait until you have finished learning high school math design and plates, and then learn the rest.
First of all, it is suggested that students with zero foundation begin to study zero foundation courses in the summer vacation of sophomore year, so that you can review the basic stage of mathematics for postgraduate entrance examination smoothly in your junior year.
For people with zero foundation, the first step is of course to go to college to study advanced mathematics. This step is based on the Tongji version of advanced mathematics textbooks used by most universities. It is obviously an inefficient way to chew mathematics with teaching materials. At this time, you can watch videos to learn advanced mathematics and take notes while listening to lectures.
After listening to a lesson, you need to review it in time. At this time, you should memorize the formula and then start doing this after-school exercise. Not every after-school exercise needs to be done, because some problems are not the same as those in the postgraduate entrance examination mathematics. Our aim is to take the postgraduate entrance examination for mathematics and win the championship, not to learn it well.
If you encounter problems that you can't handle, please keep calm. After all, we are zero-based and can't learn it at once. Please stick to it, and you will learn math well. If you don't have any idea about a question at first glance, turn over the answer. After you understand the answer, do it several times and mark the topic so that you can review it continuously in the future (review it often, otherwise it will be ineffective to advance blindly).
When you have done all the above steps, you can begin to learn the basic stage of postgraduate mathematics. In the basic stage, follow your favorite teacher and do the corresponding exercises after learning a section. After you have done the above questions thoroughly (almost three times), you will definitely have no problem.
If the problem is not fluent enough, follow the method of learning zero-based courses, look at the answers, mark them, do them several times, summarize the routines, record the wrong questions and the questions that can't be written, and suggest two notebooks and one notebook to write the questions and review them frequently. For wrong questions, correct answers must be counted. Mathematics for postgraduate entrance examination requires a lot of calculation. If you lose points because of calculation, it is not very cost-effective. In this way, your math foundation will be very good. When you have a good foundation, it's no problem to pass the entrance exam in math 1 10 or above.
Don't indulge in watching videos. Only by doing more questions, practicing more, summarizing more and reviewing more is the king of doing well in mathematics for postgraduate entrance examination. Among them, review is the most important. Not only for mathematics, but also for other subjects, English politics is a very important step, and it is futile to move forward blindly.