On the learning methods of high school mathematics After entering high school, there are often many students who can't adapt to mathematics learning, which in turn affects their enthusiasm for learning and even their grades plummet. There are many reasons for this. But it is mainly caused by students' ignorance of the characteristics of high school mathematics teaching content and their own learning methods. According to the characteristics of high school mathematics teaching content, this paper talks about learning methods of high school mathematics for students' reference. First, the characteristics of high school mathematics and junior high school mathematics 1 change. Mathematical language has a sudden change in abstraction, which is significantly different from junior high school. Junior high school mathematics is mainly expressed in vivid and popular language. Mathematics in senior one involves very abstract set language, logical operation language, function language, image language and so on. 2. Transition from thinking method to rational level Another reason why senior one students have difficulty in mathematics learning is that the thinking method of senior high school mathematics is very different from that of junior high school. In junior high school, many teachers have established a unified thinking mode for students to solve various problems, such as how many steps to solve the fractional equation, what to look at first and then what to look at in factorization, and so on. Therefore, junior high school students are used to this mechanical and easy-to-operate stereotype, while senior high school mathematics has undergone great changes in the form of thinking, and the abstraction of mathematical language puts forward high requirements for thinking ability. This sudden change in ability requirements has made many freshmen feel uncomfortable, leading to a decline in their grades. 3. The total amount of knowledge content has increased dramatically. Another obvious difference between high school mathematics and junior high school mathematics is that the "quantity" of knowledge content has increased greatly. Compared with junior high school, the amount of knowledge and information received per unit time has increased a lot, and the class hours for assisting exercises and digestion have decreased accordingly. 4. The independence of knowledge and the more rigorous system of junior high school knowledge have brought great convenience to our study. Because it is easy to remember and suitable for the extraction and use of knowledge. However, high school mathematics is different. It consists of several relatively independent pieces of knowledge (such as a set, propositions, inequalities, properties of functions, exponential and logarithmic functions, exponential and logarithmic equations, trigonometric ratios, trigonometric functions, series, etc.). ). Often, as soon as a knowledge point is learned, new knowledge appears immediately. Therefore, paying attention to their internal small systems and their connections has become the focus of learning. Second, how to learn high school mathematics 1 well and 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. To understand and master the commonly used mathematical thinking methods in time to learn high school mathematics requires us 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 obtained through positive 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, according to their own learning situation, take some concrete measures to take math notes, especially the different aspects of concept understanding and mathematical laws, as well as the extracurricular knowledge that teachers expand 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 to prevent it from happening 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. Recite some mathematical rules and small conclusions, so that your usual operating skills can reach the proficiency of automation or semi-automation. 2. Regularly sort out 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. Read newspapers after class, participate in extracurricular activities and lectures, do more extracurricular problems, strengthen self-study and expand knowledge. Review in time, strengthen the understanding and memory of the basic concept knowledge system, carry out appropriate repeated consolidation, and eliminate learning before forgetting. 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. 2 Do some "reflection" after doing the problem, 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 have been used in solving other problems. Whether it is homework or exams, we should put accuracy first and general methods first, instead of blindly pursuing speed or skills. This is an important issue to learn mathematics well. To learn mathematics well, students in Grade Three should first study mathematics with strong interest, actively spread their wings of thinking, actively participate in the whole process of education, give full play to their subjective initiative, and study mathematics happily and effectively. Secondly, we should master the correct learning methods. In order to train their ability to learn mathematics and change their learning methods, we must change the learning methods that are simply accepted, learn to learn to learn by accepting learning and inquiry learning, cooperative learning and experiential learning, and gradually learn the learning methods of "asking questions, exploring experiments, discussing, forming new knowledge and applying reflection" under the guidance of teachers. In this way, through the change of learning methods from single to diverse, our autonomy, exploration and cooperation in learning activities have been strengthened and we have become the masters of learning. In the new semester, we should do a good job in every class, including the concept class of knowledge generation and formation, the exercise class of problem-solving thinking exploration and law summary, and the review class of refining and integrating mathematical thinking methods with practice. We should take these classes well, learn mathematics knowledge and master the methods of learning mathematics. Concept class should attach importance to the teaching process, actively experience the process of knowledge generation and development, find out the ins and outs of knowledge, understand the process of knowledge generation, understand the derivation process of formulas, theorems and laws, change the method of rote learning, and let us experience the fun of learning knowledge from the process of knowledge formation and development; In the process of solving the problem, I felt the joy of success. In the exercise class, we should master the trick of "I would rather watch it once, not do it once, not speak it once, not argue it once". In addition to listening to the teacher and watching the teacher do it, you should also do more exercises yourself, and you should actively and boldly tell everyone about your experience. When encountering problems, you should argue with your classmates and teachers, stick to the truth and correct your mistakes. Pay attention to the problem-solving thinking process displayed by the teacher in class, think more, explore more, try more, find creative proofs and solutions, and learn the problem-solving methods of "making a mountain out of a molehill", that is, take objective questions such as multiple-choice questions and fill-in-the-blank questions seriously, and never be careless, just like treating big questions, so as to write wonderfully; For a topic as big as a comprehensive question, we might as well decompose the "big" into "small" and take "retreat" as "advance", that is, decompose or retreat a relatively complex question into the simplest and most primitive one, think through these small questions and simple questions, find out the law, and then make a leap and further sublimation, thus forming a big question, that is, settle for second best. If we have this ability to decompose and synthesize, coupled with solid basic skills, what problems can't beat us? In the process of mathematics learning, we should have a clear review consciousness and gradually develop good review habits, so as to gradually learn to learn to learn. Mathematics review should be a reflective learning process. We should reflect on whether the knowledge and skills we have learned have reached the level required by the curriculum; It is necessary to reflect on what mathematical thinking methods are involved in learning, how these mathematical thinking methods are used, and what are the characteristics in the process of application; It is necessary to reflect on basic issues (including basic graphics, images, etc.). ), whether the typical problems have been really understood, and which problems can be attributed to these basic problems; We should reflect on our mistakes, find out the reasons and formulate corrective measures. In the new semester, we will prepare a "case card" for math learning, write down the mistakes we usually make, find out the "reasons" and prescribe a "prescription". We will often take it out and think about where the mistakes are, why they are wrong and how to correct them. Through your efforts, there will be no "cases" in your mathematics by the time of the senior high school entrance examination. And math review should be carried out in the process of applying math knowledge, so as to deepen understanding and develop ability. Therefore, in the new year, we should do a certain number of math exercises under the guidance of teachers, so as to draw inferences from others and use them skillfully to avoid the tactics of "practicing" rather than "repeating". Finally, we should consciously cultivate our personal psychological quality, conduct psychological training comprehensively and systematically, and have determination, confidence, perseverance and, more importantly, a normal heart.