Cultivate students' interest and hobby in mathematics. From the psychological point of view, interest is the intentional activity that people like something and try to understand it. Interests and hobbies are really the best teachers. When students have interests and hobbies in mathematics, they will have a strong thirst for knowledge, so they can concentrate for ten minutes more in class than absent-minded hours. To this end, I attach great importance to stimulating students' interest and hobby in mathematics.

2. Cultivate students to learn mathematics well with tenacious will and perseverance.

Mathematics is gymnastics to exercise thinking and make people smart. Mathematics can also exercise people's adaptability, and also enable the majority of teenagers to develop their own will. In the process of mathematics learning, students often encounter many difficulties in understanding concepts, using formulas and solving difficult problems. Students must have strong will and perseverance to learn mathematics well. Generally, I check every chapter I teach, but I check the students at least twice after I finish teaching a chapter, give timely feedback to the students' knowledge, and correct and check the students who make more mistakes once or twice in time until they are fully mastered. In order to let students finish the day's work, students in other classes often hang out or play outside. Some students I teach have to understand the wrong questions and recite what they want to recite that day. It is difficult for students to do it without fighting spirit. There are many basic theorems and inferences in the "circle" chapter of geometry in grade three, which are comprehensive and difficult to apply, and some students are afraid. Encourage students to March into difficulties in teaching and not bow to difficulties; Ask the students to analyze the questions they don't know how to do, because what they have learned before can't be linked. Let the students with good grades organize everyone to review the key theorems they have learned, and stipulate that the students with poor grades explain the proof of examples in the textbook to supplement the theorem basis of proof. Through a series of training, students' learning consciousness and initiative have been improved, and their will and perseverance have been enhanced, so their academic performance has improved rapidly.

3. Cultivate students to learn mathematics well with tenacious will and perseverance.

Mathematics is gymnastics to exercise thinking and make people smart. Mathematics can also exercise people's adaptability, and also enable the majority of teenagers to develop their own will. In the process of mathematics learning, students often encounter many difficulties in understanding concepts, using formulas and solving difficult problems. Students must have strong will and perseverance to learn mathematics well. Generally, I check every chapter I teach, but I check the students at least twice after I finish teaching a chapter, give timely feedback to the students' knowledge, and correct and check the students who make more mistakes once or twice in time until they are fully mastered. In order to let students finish the day's work, students in other classes often hang out or play outside. Some students I teach have to understand the wrong questions and recite what they want to recite that day. It is difficult for students to do it without fighting spirit. There are many basic theorems and inferences in the "circle" chapter of geometry in grade three, which are comprehensive and difficult to apply, and some students are afraid. Encourage students to March into difficulties in teaching and not bow to difficulties; Ask the students to analyze the questions they don't know how to do, because what they have learned before can't be linked. Let the students with good grades organize everyone to review the key theorems they have learned, and stipulate that the students with poor grades explain the proof of examples in the textbook to supplement the theorem basis of proof. Through a series of training, students' learning consciousness and initiative have been improved, and their will and perseverance have been enhanced, so their academic performance has improved rapidly.

Gradually develop good study habits.

Bad habits are terrible. Some students are clever in speech and behavior, but they are not good at math. The reason is poor study habits, which shows that some people are unwilling to use their brains and copy others when they encounter difficulties in doing their homework. Some students' homework looks neat and correct, but they fail in the exam. The reason is that they don't listen to the class, pretend to understand, don't ask what they should ask, don't remember what they should remember, even find someone to talk to, or do B in class and so on. In order to get rid of these bad habits of students, I first strengthen ideological education, let students know the purpose of learning, know who they are studying for, emphasize the importance of listening carefully in class, and explain that learning means learning two questions and completing homework independently. Secondly, invite students with good grades to introduce their learning experience and methods. They have repeatedly stressed the extreme importance of forming good study habits. Many students also said that good habits are wealth and can be used for life. After education and training, I can gradually concentrate on listening in class. Some people will take the initiative to ask questions they don't understand after class, and students will consciously memorize, recite, deduce and prove the theorems and formulas they have learned. Do exercises, keep feeding back mistakes and correct them in time, and soon more than 90% students can master this part. The difficulty (2) is that the discriminant of the root of a quadratic equation with one variable will not be applied. For example, the equation 2x2-(4k+1) x+2k2-1= 0 about x is known, and equation ① has two unequal real roots when finding the value of k; ② There are two equal real roots; ③ There is no real number root. The discriminant of the root of this problem △=8k+9, if the above content is written as 8k+9 >: 0，8k+9=0，8k+9 & lt； 0 to find the formula of k or the range of k, students will do it. Because some students have wrong thinking, they can't analyze it. When the discriminant △ > of the root of a quadratic equation in one variable; 0, the equation has two unequal real roots; On the other hand, if the equation has two unequal real roots, then △ >; 0 to get the correct answer. In the process of solving problems, it is difficult for students to do comprehensive problems because they are not clear about the relevant basic concepts. For example, because students don't understand the concept of non-negative and don't know how to prove that 4K2+5 is greater than zero, they can spend some time reviewing and explaining in teaching. Starting with the concept of non-negative, let students understand that the non-negative form has the arithmetic square root, absolute value and square of a number. Make students realize that if the discriminant of the root of a quadratic equation is completely flat, its value must be greater than or equal to zero, and the equation must have a real root.

If we can grasp and break through the key points in teaching, students' grades will be greatly improved. The key points generally include: the key points specified in the outline, formulas, theorems, axioms that are often used to do problems, and related contents that are closely related to each other. As long as you study the teaching materials and syllabus carefully, the key points stipulated in the syllabus are easy to grasp and can be explained to students repeatedly in teaching. Fraction is the difficulty and focus of algebra in junior high school. Fractions include factorization and algebraic expression operations. In order for students to learn this part well, they must review the previous contents. Review algebraic expressions such as addition, subtraction, multiplication and division, pay attention to the correct use of multiplication formulas and factorization, disperse the difficulties in this chapter, and review the previous contents better. When teaching a new class, as long as the basic nature of scores is clearly explained, the difficulty of this chapter will be broken.

The chapter "circle" is a difficult point in plane geometry. The meridian theorem is only 23 words, but it consists of two questions and three conclusions. This theorem has four inferences, which are quite difficult for students to use. When teaching this theorem and inference, I use the method of dispersing difficulties to increase the time of a new lesson. Ten years of teaching has made me realize that this part of the content is not the key, but the correct application of the theorem by students is the key. When applying theorems, students do not fully understand theorems and inferences, the conditions given in the questions are not obvious, or the conclusions drawn from the known ones are incomplete or wrong. When teaching, let students write what they know and what they prove by their opposition theorem. Teaching new courses is mainly to correct the mistakes written by students in knowing and doing, and get the correct content of knowing and doing. After the example is finished, let each student remember the theorem and repeat it with his own understanding, so as to thoroughly understand the theorem and learn to use it by doing exercises. This theorem is understood by students' oral review. After the difficulty is broken, the key points are grasped, so the students' learning ability is greatly improved! ! ! !