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 put what their teachers have taught them.

Translate your knowledge into your own special language and keep it in your mind 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. The mathematical ideas that should be mastered in middle school mathematics learning are: set and correspondence, classified discussion, combination of numbers and shapes, movement and transformation.

Think and change your mind. 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, the commonly used methods are: combination of observation and experiment.

Thinking and analogy, comparison and classification, analysis and synthesis, induction and deduction, generality and particularity, finiteness and infinity, 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 are: simple control of complexity, combination of numbers and shapes, and proper advance and retreat.

Use, turn life into maturity, if it is difficult, it will be reversed, and if it is reversed, it will be returned, turning static into dynamic, supplemented by separation and integration.

3, gradually formed

"I-oriented" learning model

Mathematics is not taught by teachers, but acquired through active thinking activities under the guidance of teachers. To learn mathematics, we should actively participate in the learning process, develop a scientific attitude of seeking truth from facts, think independently and be brave in exploration and innovation.

Spirit; 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, find problems and ask questions actively.

Topic, pay attention to the internal relationship between old and new knowledge, not satisfied with ready-made ideas and conclusions, often carry out multiple solutions to one problem, one problem is changeable, think about the problem from many sides and angles, and dig the essence of the problem. Learning mathematics must pay attention to "living" and only look.

Books can't do without doing problems, and they can't just bury themselves in doing problems without summing up their 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.

A. Take math notes, especially the different aspects of concept understanding and mathematical laws. The teacher is in the classroom.

B. expand extracurricular knowledge. 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.

C. 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's Making Mistakes

Get to the bottom of it, so as to prescribe the right medicine; Answer questions completely and reason strictly.

D recite some mathematical laws and small conclusions to automate your usual operation skills.

Or semi-automated proficiency.

E. Regularly organize knowledge structure, form plate structure, and implement "integrated container", such as tabular,

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.

f.

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

g.

Review in time, strengthen the understanding and memory of the basic concept knowledge system, and repeat it appropriately.

Solid, eliminate forgetting before school.

h.

Learn to summarize and classify from multiple angles and levels. Such as: ① classification from mathematical thought ② solution.

Classification of questions and methods (3) Classification from knowledge application and other aspects. Make the knowledge learned systematic, organized, thematic and networked.