Review stage of postgraduate entrance examination:
The first stage: the basic stage of learning, our goal is to understand the three foundations required by the syllabus-basic concepts, basic theories and basic methods. Time from 2065438+05.3-mid-July, about 4 months (do you think this time is too long? In fact, I tell you, more and more attention is paid to the basic investigation of mathematics for postgraduate entrance examination. You can look at the real questions in recent years, and you will find that most of the questions in the test paper are based on the investigation of basic concepts, basic formulas and basic theories. For example, the test in 2008 actually tested the original theorem proof in the textbook, and there is a way to calculate one (18) this year. I suggest you review in two rounds.
The first round: from March to mid-June, for about three months, three textbooks will be read at this stage. These three textbooks are recommended here: Advanced Mathematics compiled by Tongji University, 4th, 5th and 6th editions of Higher Education Press, Linear Algebra compiled by Tongji University and Probability and Mathematical Statistics compiled by Zhejiang University. In fact, the best review order is to review higher education first.
1) combined with the outline. It is not only the law that the proposer should follow, but also the basis for our audit. Refer to the exam outline, review it comprehensively, and don't miss anything. Of course, it is not easy to memorize all the knowledge. On the contrary, we should grasp the essence of the problem and the essential relationship between content and method, and try our best to reduce the things to remember. Try to make yourself understand what you have learned, grasp the connection of problems more, and memorize less knowledge. Moreover, if you don't remember, you will feel at ease if you remember. Facts have proved that some memories are lifelong. We all need to master it, and in the later stage of improvement, we need targeted review. In the requirements of the examination syllabus, we need to know, understand and recognize three levels of content; Generally speaking, the content to be understood and the methods to be mastered are the focus of examination. In previous years, the probability of examination questions in this area was high; In the same test paper, people who score more in this area often have to work hard in this area. Generally speaking, you can guess several points, but when it comes to comprehensive questions, these questions contain secondary content in the main content. At this time, "guessing questions" will not work. When we speak, we should highlight the key points, not only in the main content and methods, but more importantly, we should find the connection between the main content and the secondary content, take the main content with the main content, and understand the main content of the whole content thoroughly. Other contents and methods can be easily solved, that is, grasping the main content is not to abandon the secondary content and isolate the main content, but to analyze the relationship between the contents, naturally highlight the main content from the comparison and ask for understanding. The frequency of mastering exams is high, and it is often in the form of big questions, which requires everyone to focus on reviewing and thoroughly understanding; The frequency of knowledge points that need to be understood, known and calculated is relatively low, so the requirements are slightly weaker, and everyone can spend less time on it, so that the review will be targeted.
2) Pay attention to the quality of the problem. In the process of learning in the basic stage, the topics in the textbook must be done. Do you have to do all the questions in the textbook? According to statistics, there are more than * * 1900 questions in advanced mathematics textbooks, more than * * 400 questions in linear algebra textbooks, and more than * * 230 questions in probability theory and mathematical statistics textbooks. We should master the basic skills thoroughly, but we don't advocate the tactic of "challenging the sea". In fact, we have made it clear above. A changeable problem requires training abstract thinking ability, proving some basic theorems, deducing basic formulas and doing some basic exercises. Just like a chess player's "blind chess", you need to meditate with your brain to get the correct answer. This is called "practice makes perfect" for well-trained people with solid basic skills. There are many ways to encounter problems, and it is not easy to be stumped. On the contrary, when practicing, your eyes are low and your hands are low. Many candidates miscalculate the questions they can do, which comes down to carelessness. Indeed, people will be careless, but people with solid basic skills will immediately find out when they make mistakes, and rarely make mistakes.
3) Pay attention to the review effect. Reading textbooks is not reading novels, just forget it after reading them. In the process of reading, on the one hand, we should improve the efficiency of reviewing mathematics, don't compare with others, and describe the concepts and theorems in the outline in our own language to avoid "a little knowledge"; Don't blindly do problems without paying attention to timely summary, so as to realize a leap from quantitative change to qualitative change; Don't rush to do the "postgraduate examination paper" in the past, and wait until the three courses of mathematics have been reviewed. After the second stage of review, the effect will be better. Not only can you know what to test and how to test it, but you can also test your review. Students should also be neither arrogant nor impetuous and persevere. Besides, we must examine what we see. After reading one chapter, you must see if you can continue your study in the next chapter. How do we test it? Our method is: do a test close to the postgraduate entrance examination. Generally speaking, the exercises after the book can't reflect everyone's mastery of each chapter. Because our goal is not the final exam but the postgraduate entrance examination, asking questions after class can't explain the problem. We should solve this problem by doing some problems with moderate difficulty. The second round of review: from mid-June to mid-July, it will probably take 1 month. Here, I recommend "Li Yongle Basic Pass 660 Questions" to you. After reading the textbook, does it mean that we don't know much about the basic knowledge and can directly "chew" the whole book? Here, I want to tell you that this is not the case. It is still difficult to review the whole book or other postgraduate books directly. In order to read these books more comfortably in the future, everyone will read the textbooks again in this month. Finish the content in the textbook and do 660 corresponding questions. There are a lot of review materials on the market. Choosing good review materials will make everyone get twice the result with half the effort in the review process. Li Yongle's "Review Encyclopedia" and Wang Shian's "Standard Review Encyclopedia" clearly explain the knowledge points of the postgraduate entrance examination, so that everyone can fully understand the contents of the postgraduate entrance examination and have a comprehensive and profound understanding of the examination outline during the review process. Each knowledge point is followed by questions corresponding to the knowledge point, and then corresponding examples and exercises are attached. These two reference books are standard course exercises, and the difficulty is slightly greater than the difficulty of the postgraduate entrance examination questions, which is very beneficial for everyone to review for postgraduate entrance examination. You can do a proper amount of difficult questions when practicing at ordinary times, which will help you keep a peaceful mind during the exam and won't panic when you encounter problems. However, this does not mean that you only delve into the difficult questions in the review process, while ignoring the easy questions and the moderately difficult questions, which will only lead to the failure of the postgraduate entrance examination. We should do the questions with appropriate difficulty and quantity.
The second stage: intensive training stage
By making a high-quality tutorial material, I can turn the three basics in the textbook into my problem-solving ability. The time is from the middle of July to the end of 10, about three and a half months, and it is also divided into two rounds.
The first round: the study time is from mid-July to the end of September for two and a half months. The information recommended to you at this stage is a review book written by Li Yongle.
The second round: It takes about one month, that is, from mid-September to the end of 10, to review the review books. This round of review method is to comprehensively review Li Yongle's review book, and use advanced mathematics and probability theory to take turns, and finally converge to linear algebra. We also use a word to describe this stage as "gnawing", so it can also be called the stage of gnawing counseling books. The word "gnaw" is used here to describe the difficulty of this stage. At this stage, everyone generally feels a sharp increase in pressure, even those students who have completed the first stage seriously. The main reason here is that the counseling books you read at this stage are generally characterized by highly summarized knowledge points. Whether it is an example or an after-class exercise, the topic selection has a certain comprehensiveness. These topics are no longer just about examining a single knowledge point and a single problem-solving ability. It is an all-round examination of students' ability, which not only examines students' computing ability, abstract generalization ability and spatial imagination ability, but also examines students' ability to solve practical problems by using what they have learned. This requires students to make great efforts at this stage, but no matter how tired you are, it is worth it. Through this baptism, both your mastery of the three basics and your problem-solving ability will be qualitatively improved. This is the first qualitative leap on the road to preparing for the postgraduate entrance examination. After this stage, ask the students to do it and give you a topic. Given enough time, no matter how difficult the problem is, you can solve it. At this stage, we will not blindly pursue everyone's problem-solving speed, but emphasize your mastery of basic knowledge and the formation of problem-solving ideas for various types of questions. Just because we don't pay attention to the speed of problem solving doesn't mean that we ignore the training of problem solving speed. Here, we are required to accumulate a variety of problem-solving methods for a topic at this stage, find out the best problem-solving method, and make the best preparation for completing the postgraduate entrance examination questions at the fastest speed in the future.
The third stage: consolidation and improvement stage. The students' goal is to achieve the requirement of high score in the postgraduate entrance examination for mathematics through the study of real questions and high-quality simulation questions over the years. Time 165438+ 10-65438+February. The materials recommended to you at this stage are 10 calendar year real questions and Li Yongle 400 questions. * * * About 460 questions. These 20 sets of questions are classics and worth studying. Students should follow the principle of "three wants and three taboos" when doing this set of questions for the first time:
1) It is necessary to simulate the examination room regularly and in sets (3 hours/set). You may not understand without doing a set of questions. Running for three hours at high intensity is still very tiring. Some people say that if there is not enough training before the postgraduate entrance examination, it is difficult to stick to the four consecutive exams. Even if you "sit down", it is difficult to guarantee the state. Many students reported that when they finished that set of questions for the first time, they felt a sense of lightness when they walked, and they were really tired. But with more exercise, sitting for three hours becomes a habit.
Taboo: answer while doing, overtime, separate the set of questions and do them in blocks. This has neither the experience of doing a set of questions nor the value of a whole set of real questions, because the set of questions is formed by combining advanced mathematics, linear algebra and probability theory well. If you do it separately, the knowledge in your mind is still broken. When you do high numbers, you only know high numbers, and when you do line generation, you only know probability, and the three parts are not combined. The whole set of papers will take 4 hours, or 3.5 hours, so even if you get more than 40 points in/kloc-0, you will get a big discount, and you will lose at least 30 points in the real exam.
2) Be sure to summarize at different levels, so as to know your situation more clearly and put pressure on yourself. It usually takes more time to summarize than to do the problem, that is, it takes more than three hours to summarize, which is actually a process in which your brain stores knowledge in an orderly way.
Taboo: Don't grade or summarize after you finish. Some students have developed the habit of relying on answers. When they see the answer, they will do the problem and throw it away. This is not the way to do it. When you do a set of questions, you must change them, just follow the progress, only do new questions, don't summarize them, just look at the answers and say "so that's it." If you treat them like this, I believe that you may not be able to master some questions after three times. The final result may be: when you come down from the examination room.
3) Review the training every few sets, and go back to summarize the knowledge points, chapters and topic types that are prone to problems, analyze the reasons and formulate countermeasures. If a knowledge point has been problematic after several sets of questions, it is necessary to carry out special training to change the knowledge point and question type in order to make a breakthrough.
Taboo: if you don't solve the problem, you know that you haven't mastered the conversion between rectangular coordinates and polar coordinates of double integral, that is, you don't slow down and kick this stumbling block, or you just bite the bullet and consume the accumulated internal work. By this time, your ability is basically stable. If we don't break through this bottleneck, it's hard to describe the drill here in one word at this stage. One is the meaning expressed by the exercise. The other is the meaning expressed in the exercise. After completing the second stage, most students will encounter an obstacle: when we review advanced mathematics, we are familiar with advanced mathematics, but we can't remember a lot of knowledge about linear algebra and probability. When we review linear algebra, we are familiar with linear algebra, but we forget a lot of knowledge about high numbers and probabilities. When we review the probability, the probability is clear. What shall we do? This is what we call drilling. We should drill through this barrier by drilling real questions and simulation questions, linking high numbers, line generation and probability. No matter which part of knowledge is mentioned, we are very familiar with it, so that we can really meet the requirements of postgraduate mathematics.
The fourth stage: the final sprint stage. Our goal is to maintain the achievements of the previous stages. The time is from 65438+February to the pre-test stage. The materials recommended for you are: The Final Sprint Score is over 135, and Wang Shian's Final Postgraduate Entrance Examination Volume 8. At this stage, what we have to do is:
(1) summary thinking; Don't just do the questions, summarize the real questions and simulation questions done in the previous stage (the summary here mainly includes sorting out the basic problem-solving ideas and filling in the blanks of forgotten knowledge points). Without summing up, you can't turn knowledge into mathematical ability. What can you use to fill in the blanks? By doing the final grade 135, special training is given to the problems with unclear ideas;
(2) practicing the set of questions, practicing the set of questions all the time, until the end, the hand can't come out; Don't look at difficult problems, partial problems and strange questions; This requires Wang Shian to take 8 sets of final postgraduate exams;
(3) Remember, don't forget the basic concepts, basic formulas and basic theorems without leaving the textbook, especially the formulas that are not commonly used and have vague memories. Then take out the textbook and find out the prototypes of these recited formulas from the textbook. Remember, at this stage, we also use a word to summarize "guarantee", which can also be called the guarantee state stage. The guarantee here also has two meanings: first,
Maintain strength; Second, keep your memory. Students must keep the basic knowledge and problem-solving ability they have worked so hard for half a year.