1, form a good habit of learning mathematics.

Establishing a good habit of learning mathematics will make you feel orderly and relaxed in your study. The good habits of high school mathematics should be: asking more questions, thinking hard, doing easily, summarizing again and paying attention to application. In the process of learning mathematics, students should translate the knowledge taught by teachers into their own unique language and keep it in their minds forever. Good habits of learning mathematics include self-study before class, paying attention to class, reviewing in time, working independently, solving problems, systematically summarizing and studying after class.

2, timely understand and master the commonly used mathematical ideas and methods.

To learn high school mathematics well, we need to master it from the height of mathematical thinking methods. Mathematics thoughts that should be mastered in middle school mathematics learning include: set and correspondence thoughts, classified discussion thoughts, combination of numbers and shapes, movement thoughts, transformation thoughts and transformation thoughts. With mathematical ideas, we should master specific methods, such as method of substitution, undetermined coefficient method, mathematical induction, analysis, synthesis and induction. In terms of specific methods, commonly used are: observation and experiment, association and analogy, comparison and classification, analysis and synthesis, induction and deduction, general and special, finite and infinite, abstraction and generalization.

When solving mathematical problems, we should also pay attention to solving the problem of thinking strategy, and often think about what angle to choose and what principles to follow. The commonly used mathematical thinking strategies in senior high school mathematics include: controlling complexity with simplicity, combining numbers with shapes, advancing forward and backward with each other, turning life into familiarity, turning difficulties into difficulties, turning retreat into progress, turning static into dynamic, and separating and combining.

3. Gradually form a "self-centered" learning model.

Mathematics is not taught by teachers, but acquired through active thinking activities under the guidance of teachers. To learn mathematics, we must actively participate in the learning process, develop a scientific attitude of seeking truth from facts, and have the innovative spirit of independent thinking and bold exploration; Correctly treat difficulties and setbacks in learning, persevere in failure, be neither arrogant nor impetuous in victory, and develop good psychological qualities of initiative, perseverance and resistance to setbacks; In the process of learning, we should follow the cognitive law, be good at using our brains, actively find problems, pay attention to the internal relationship between old and new knowledge, not be satisfied with the ready-made ideas and conclusions, and often think about the problem from many aspects and angles and explore the essence of the problem. When learning mathematics, we must pay attention to "living". You can't just read books without doing problems, and you can't just bury your head in doing problems without summing up the accumulation. We should be able to learn from textbooks and find the best learning method according to our own characteristics.

4. Take some concrete measures according to your own learning situation.

(1) Take math notes, especially the different aspects of concept understanding and mathematical laws, as well as the extra-curricular knowledge developed by teachers in class. Write down the most valuable thinking methods or examples in this chapter, as well as your unsolved problems, so as to make up for them in the future.

(2) Establish a mathematical error correction book. Write down error-prone knowledge or reasoning in case it happens again. Strive to find wrong mistakes, analyze them, correct them and prevent them. Understanding: being able to deeply understand the right things from the opposite side; Guo Shuo can get to the root of the error, so as to prescribe the right medicine; Answer questions completely and reason strictly.

(3) memorize some mathematical laws and small conclusions, so that your usual operating skills can reach the proficiency of automation or semi-automation.

(4) Regularly organize the knowledge structure, form a plate structure, and implement "overall assembly", such as tabulation, to make the knowledge structure clear at a glance; Often classify exercises, from a case to a class, from a class to multiple classes, from multiple classes to unity; Several kinds of problems boil down to the same knowledge method.

(5) Read extracurricular books and newspapers, participate in extracurricular activities and lectures in mathematics, do more extracurricular math problems, increase self-study and expand knowledge.

(6) Review in time, strengthen the understanding and memory of the basic concept knowledge system, and make appropriate repeated consolidation, so as to learn without forgetting.

(7) Learn to summarize and classify from multiple angles and levels. Such as: ① classification from mathematical thoughts, ② classification from problem-solving methods, ③ classification from knowledge application, etc. , so that the knowledge learned is systematic, organized, thematic and networked.

(8) Often do some "reflection" after doing the problem, and think about the basic knowledge used in this problem, what is the mathematical thinking method, why do you think so, whether there are other ideas and solutions, and whether the analytical methods and solutions of this problem are used to solve other problems.

(9) Whether it is homework or exams, we should put accuracy in the first place, and put the law in the first place, instead of blindly pursuing speed or skills. This is an important problem to learn mathematics well.

problem solving

Mathematics is a highly applied subject, and learning mathematics means learning to solve problems. It's wrong to engage in sea tactics, but it's also wrong to learn mathematics without solving problems. The key lies in the attitude towards the topic and the way to solve the problem.

-first of all, choose a topic, so as to be few and precise.

Only by solving high-quality and representative problems can we get twice the result with half the effort. However, the vast majority of students have not been able to distinguish and analyze the quality of the questions, so they need to choose exercises to review under the guidance of teachers to understand the form and difficulty of the college entrance examination questions.

-the second is to analyze the topic.

Before you solve any math problem, you must analyze it first. Analysis is more important than more difficult topics. We know that solving mathematical problems is actually to build a bridge between known conditions and conclusions to be solved, that is, to reduce and eliminate these differences on the basis of analyzing the differences between known conditions and conclusions to be solved. Of course, in this process, it also reflects the proficiency and understanding of the basic knowledge of mathematics and the flexible application ability of mathematical methods. For example, many trigonometric problems can be solved by unifying angles, function names and structural forms, and the choice of trigonometric formulas is also the key to success.

-Finally, the topic is summarized.

Solving problems is not the goal. We test our learning effect by solving problems, and find out the shortcomings in learning so as to improve and improve. So the summary after solving the problem is very important, which is a great opportunity for us to learn. For a complete theme, the following aspects need to be summarized:

In terms of knowledge, what concepts, theorems, formulas and other basic knowledge are involved in the topic, and how to apply these knowledge in the process of solving problems.

② Method: How to start, what problem-solving methods and skills are used, and whether they can be mastered and used skillfully.

(3) Whether the problem-solving process can be summarized into several steps (for example, there are three obvious steps to prove the problem by mathematical induction).

(4) Can you sum up the types of questions, and then master the general problem-solving methods of such types of questions?