Prevention and differentiation of junior high school mathematics
1, cultivating students' interest in learning mathematics is the driving force to promote students' learning. If students are interested in learning mathematics, they will form a strong thirst for knowledge and study actively. There are many ways to cultivate students' interest in mathematics learning, such as letting students actively participate in teaching activities and let them experience the pleasure of success; Create a moderate learning competition environment; Play the role of interesting mathematics; Improve teachers' own teaching art and so on. 2. Teaching students to study (1), strengthening the guidance of learning methods and cultivating good study habits will become people's habitual behavior. What is a good study habit? I gave the students the following specific explanations, including making plans, self-study before class, paying attention to class, reviewing in time, working independently, solving problems, systematically summarizing and studying after class. (2) Making a plan to make the learning purpose clear, the time arrangement reasonable, unhurried and steady, is the internal motivation to promote students' active learning and overcome difficulties. But the plan must be practical, with both long-term plans and short-term arrangements. In the process of implementation, we must be strict with ourselves and temper our learning will. (3) Self-study before class is the basis for students to learn new lessons well and achieve better learning results. Self-study before class can not only cultivate self-study ability, but also improve interest in learning new lessons and master the initiative in learning. Don't go through the motions in self-study, pay attention to quality, try to understand the teaching materials before class, pay attention to the teacher's ideas in class, grasp the key points, break through the difficulties and solve the problems in class as much as possible. (4) Classroom is the key link to understand and master basic knowledge, skills and methods. "Learning is not enough", students who have taught themselves before class can concentrate more, and they know where to be detailed and where to omit; Where to carve carefully, where to pass by and where to record, instead of copying all the records, pay attention to one thing and lose another. (5) Timely review is an important part of efficient learning. By repeatedly reading textbooks and consulting relevant materials, we can strengthen our understanding and memory of the basic concept knowledge system, link the new knowledge we have learned with the old knowledge, analyze and compare it, and arrange the review results in our notes at the same time, so that the new knowledge we have learned will be changed from "understanding" to "knowing". (6) Independent homework is a process in which students can analyze and solve problems flexibly through their own independent thinking, so as to further deepen their understanding of new knowledge and master new skills. This process is a test of students' will and perseverance. Through application, students can change from "knowledge" to "familiarity". (7) Problem-solving refers to the process of making ideas flow by enlightening and supplementing answers to knowledge errors exposed in the process of independently completing homework or missing answers due to blocked thinking. You must be persistent in solving problems, and do your homework if you do it wrong. If you don't understand the mistakes clearly, you should think again and again. If you can't solve them, you should consult your teachers and classmates. You should review frequently, strengthen mistakes, do appropriate repetitive exercises, digest the knowledge that you let your teacher let your classmates enter, and persist in changing your knowledge from "familiar" to "alive" for a long time. (8) Systematic summarization is an important link for students to master knowledge comprehensively, systematically and profoundly and develop their cognitive ability through positive thinking. The summary should be based on systematic review, teaching materials, notes and related materials, and reveal the internal relationship between knowledge through analysis, synthesis, analogy and generalization. In order to achieve the purpose of mastering the knowledge learned. Frequent multi-level summary can change knowledge from "living" to "understanding". Step by step to prevent impatience. A large number of junior high school students are prone to impatience because of their young age and limited experience. Some students are eager for quick results, while others want to "sprint" in a few days. Some students are complacent and frustrated when they encounter setbacks. In view of these situations, we let students know that learning is a long-term accumulation process of consolidating old knowledge and discovering new knowledge, which can never be achieved overnight. Why does junior high school take three years instead of three? A very important reason why many excellent students can get good grades is that their basic skills are solid, and their reading, writing and computing abilities have reached the level of automation or semi-automation. 4. Strengthen the training and cultivation of abstract logical thinking in the process of mathematics teaching. In order to solve the problem that underachievers' abstract logical thinking ability can't adapt to mathematics learning, we should strengthen the training of abstract logical ability from the beginning of algebra teaching in junior one, and always design the teaching process as a process in which students actively explore knowledge under the guidance of teachers. In this way, students not only learn knowledge, but also learn the basic ideas and methods of mathematics, cultivate students' logical thinking ability and lay a good foundation for further study. 5. Establish a good relationship between teachers and students Psychology believes that human emotions are related to cognitive processes, and any cognitive process is accompanied by emotions. Junior high school students' interest in a subject is closely related to their learning emotions. They often rationally think that a certain subject is not important and can't learn well. They often give up studying a certain subject because they don't like being teachers. Harmonious teacher-student relationship is an important factor to ensure and promote learning. In particular, we should give enthusiastic guidance to underachievers, sincerely help them, encourage them in spirit and guide them in learning methods, so as to establish their self-confidence and improve their learning ability.