Self-study method of mathematics in senior two 1. Grasp the foundation.
Mathematical exercises are nothing more than the comprehensive application of mathematical concepts and ideas. Understanding the basic concepts, theorems and methods of mathematics is the premise of judging the type of topic and the scope of knowledge, and the basis of correctly mastering the method of solving problems. Only when the concept is clear and the method is comprehensive, can we get a solution quickly when we encounter a problem, or when we face a new exercise, can we associate the method of the exercise we have done at ordinary times and realize a quick answer. Knowing the basic theorem is the premise of solving exercises correctly and quickly, especially the review of chapters such as solid geometry. Being familiar with the basic theorem and mastering it flexibly can make the answers to the exercises clear and logical. On the contrary, it will make the problem-solving slow, logically chaotic and unclear.
So how to grasp the foundation?
1, read the textbook;
2. When you encounter conceptual problems in exercises, you should re-understand the connotation and extension of the concept and pay attention to understanding and understanding the concept from different sides.
3. Understand the constraints of the conditions of the theorem on the conclusion, and ask: What would the conclusion of the theorem be without this condition?
4. Summarize the comprehensive problem-solving methods. It is necessary to accumulate some typical exercises to ensure the integrity of the problem-solving methods.
5. Earnestly do the exercises in each period of our online school synchronous class, and adopt the alternating spiral method to overcome the forgetting of basic knowledge and methods.
Second, make plans and goals.
When reviewing math, you should make a good plan, not only the big plan this semester, but also the small plan every month, week and day. The plan should be consistent with the teacher's review plan and should not conflict with each other. For example, according to the teacher's review progress, master today's knowledge points, deepen the understanding of knowledge points, and study different aspects and angles of knowledge points. In the daily review plan, you should leave some time to read textbooks, take notes, review past knowledge points, think about what the teacher said that day, and sum up what you learned that day. It can be said that daily exercises can be done less, but these induction, reflection and review are essential. I hope you pay attention when making plans.
Third, beware of sea tactics and overcome the phenomenon of blindly doing questions without paying attention to induction.
Doing problems is to consolidate knowledge and improve adaptability, thinking ability and computing ability. Learning mathematics requires some exercises, but learning mathematics does not mean doing problems. In all kinds of exam questions, a considerable number of exercises can be solved through the accumulation of simple knowledge points and the deduction of axiomatic knowledge system These exercises are to expand the problem-solving methods by doing a certain amount of exercises. But with the reform of the college entrance examination, the college entrance examination has focused on the examination of creativity and ability. So do the exercises carefully, pay attention to the understanding and flexible application of knowledge. When you finish an exercise, don't ask yourself: What knowledge points did this question examine? What method? What solutions do we get from it? What are the commonalities in solving this kind of exercises? What kind of problem-solving strategies have I applied to realize the complete solution of the problem? Only in this way can we cultivate our understanding and creativity and develop our creativity. There will also be scientific methods to solve those comprehensive problems in the upcoming final exam and future college entrance examination.
Fourth, often do college entrance examination questions and uncover the mystery of college entrance examination questions.
College entrance examination questions are the best exercise. It is a new and good starting point when examining knowledge points, which correctly controls the difficulty of the examined knowledge points. Answering some college entrance examination questions is helpful to grasp the difficulty requirements of the college entrance examination for this knowledge point; It is helpful to judge the similarities and differences between college entrance examination questions and common questions, enhance the ability to judge the reliability of questions, and prevent digression and strange questions. Especially the binomial theorem, complex number, solid geometry, polar coordinates and triangle parts of the college entrance examination questions are not difficult to arrange and combine, but quite a few exercises in the review materials you usually see have exceeded the difficulty of the college entrance examination. In fact, these exercises in the college entrance examination questions are not difficult to do and not terrible. It can be seen that doing college entrance examination questions often will overcome the fear of college entrance examination questions. Enhance your confidence in winning the college entrance examination in the future.
Fifth, summarize the big thinking and strategy of mathematics.
The main purpose of mathematics learning is to cultivate our creativity and our ability to deal with things and solve problems. Therefore, when dealing with mathematical problems, it is particularly important to master big strategies and big thinking, and we should pay attention to summing up in our usual study. Usually in class, a knowledgeable student should listen to the teacher's analysis and induction of the topic. However, there are still many students who don't pay attention to the teacher's analysis and often remain calm during every step of calculation and deduction explained by the teacher. Listening to the class is very serious, but it is very laborious. After listening, it's all a calculation process, fragmented. The teacher's analysis is to guide students to think and inspire them to design big strategies and big thinking to deal with these problems. When the teacher answers the exercise questions, students should use their own calculations and reasoning to know what the teacher is going to do. In addition, giving the answer to the question does not mean that the answer to the question is over, but it takes some time to sum up and carefully summarize the memory. All these problem-solving strategies should be brought into your mind, become a permanent memory, and become your own experience and skills to solve such problems. At the same time, it also solves the bad problem that students can attend classes but can't do problems.
Sixth, review well at the end of the term, and make a leap in math learning.
The final stage of review is a special lecture. Teachers give detailed lectures and intensive training on key knowledge, key problem-solving methods and key mathematical ideas. At this review stage, it is not difficult to trust the teacher, downplay all kinds of review materials, carefully complete the intensive training questions assigned by the teacher with good quality and quantity, and concentrate on breaking through the common knowledge points such as solid geometry, triangle, complex number, binomial theorem and limit in the test questions. Try to solve the finale problems such as function, analytic geometry and sequence. If you can train in time at this stage, you will have an immediate feeling, greatly improve your academic performance in mathematics and promote the second leap in mathematics learning.
Accumulate certain examination experience.
There is a big exam at the beginning of each month this semester, and each unit has more than a dozen unit exams and mock exams. Seize these opportunities, accumulate certain examination experience, master certain examination skills, and give full play to their due level in the examination. In fact, the examination is a single-soldier battle, and it is a battlefield to test a person's comprehensive ability such as endurance, acceptance and problem-solving ability. These abilities can only be cultivated and trained in the usual exams.
Eight, solutions to overcome the three problems.
Mathematics test questions are divided into three types: multiple-choice questions, fill-in-the-blank questions and solution questions. Based on multiple-choice questions and fill-in-the-blank questions, the score is ***76. Solving problems is the key to improving scores. The solutions to these three types of questions, especially multiple-choice questions, are flexible and diverse, including direct method, method of substitution method, special value method, exclusion method, and combination of numbers and shapes. Mastering a variety of such problem-solving methods will make the test questions fast and accurate, and at the same time win more time for solving the last six questions.
In a word, mathematics is a subject that can improve grades in a short time. Mathematics is one of the three comprehensive subjects in college entrance examination, and it is also an important subject to open up comprehensive scores. There are ways to learn mathematics, and there are ways to learn mathematics. I hope you can seize the opportunity, develop your personality, and don't blindly follow the trend and go with the flow. Try to review the old and learn the new, overcome the difficulties of mathematics knowledge with comprehension and understanding, and really improve mathematics performance.