As the saying goes: the train runs fast, all by the headband. If a team wants to develop well, it must have a leading goose. In the class, this leading goose is a top student. Therefore, it is very important to cultivate a group of top students with certain competitive advantages. Top students can not only lead the direction of the whole class, but also be an important factor related to the healthy development of the whole class, and it is also one of the most remarkable signs of our education and teaching effect.

1, the role of the class teacher

I think a class teacher has many functions in the process of cultivating top students. First, the class teacher's guidance on methods, thinking, psychology and exam-taking ability is more important than knowledge. Guidance for top students is different from classroom teaching. It can't simply repeat and tell the textbook knowledge, because students have a solid knowledge base, and what they lack is subject thinking and academic ability. Therefore, the cultivation and counseling of thinking, methods and psychology has become the key to solving problems and improving grades. For example, after-class follow-up aims at solving their outstanding problems, requiring them to communicate with each other, ask questions, find solutions, learn from each other's strengths, and form an atmosphere of harmonious interaction and common progress, which relieves psychological pressure to some extent, activates thinking, improves efficiency, enhances confidence and stimulates interest. Second, the head teacher should give full play to the radiation function of top students and should not be underestimated. Top students form a strong learning atmosphere for the class and have a potential role in forming good learning methods for students. The power of example is infinite. Sooner or later, the gestures of "little gentlemen" will be branded in the minds of classmates. Top students are not only role models in academic performance, but more importantly, role models in learning attitude, learning goals and learning motivation. Therefore, in this sense, top students are very important to our education and teaching, so we should focus on cultivating top students, take good care of them and make "sunshine and rain" for them.

2. The role of classroom teachers

The role of teachers can be divided into two situations: the total score of students is better and the single subject is better. Let's first look at the teacher's role in students with better total scores, mainly in two aspects. First, what measures should be taken for students with better total scores? If the total score is good and the subject we teach is the student's strong point, we should give full play to the student's advantages in this subject, have greater confidence in the student, further encourage him to take the lead in this subject and improve his contribution to the total score. Second, for a subject with a good overall score but relatively weak, on the one hand, we should realize the importance of this subject to the students' overall score, but let these students feel the importance of this subject ideologically. This subject is not very difficult for this student, that is, it is decisive to make up lessons for these students ideologically first. As long as the ideological problems are solved, students' learning of this course will be solved. Therefore, making up lessons for them should start with thinking, and only thinking is the most effective way for students to change the learning situation of this subject.

For students who are particularly interested in a certain subject and have good grades, the teacher's role is to further strengthen students' interest in the subject and enhance their desire to learn. The role of a teacher in the middle is to guide, encourage and provide information to students' learning, and guide students' learning in time according to their learning situation. Taken together, the role of teachers can be divided into the following aspects:

(1) Encourage students to read more extracurricular books.

Encourage spare students to learn to read more extracurricular books related to learning in their spare time, such as newspapers and magazines in this field. These publications are good teachers in themselves. Through reading, they can absorb the ideas and methods of many famous teachers, many of which are knowledge that they can't learn in class. Reading more books can improve students' interest in learning and broaden their knowledge, which is necessary to improve their grades.

(2) Pay attention to the cultivation of students' understanding ability and application ability

With the deepening of the subject competition and the reform of college entrance examination questions, the examination questions pay more and more attention to the examination of candidates' own quality and mathematical literacy; While giving consideration to the basic knowledge of the subject, we should add some questions with understanding and application ability, which requires us to pay attention to the cultivation of students' understanding and application ability in daily teaching; We can construct or collect some typical questions in newspapers and magazines for students to read and train.

(3) Instruct top students to write learning experiences or research essays in daily teaching.

Writing learning experiences or learning essays can be provided to these students as a new way of learning. In fact, it is also a new research-based learning activity. The topic of the paper can be determined by the teacher according to the characteristics of the test proposition, and the formulation can be closer to the college entrance examination and practical application; Of course, students can also decide their own topics according to their own learning interests and some problems in their current study; Teachers should also help these students and provide more paper materials and related materials.

Take effective corresponding measures:

1, strict requirements, solid foundation. A strict teacher makes a noble apprentice. To train top students in mathematics, we must first be strict and let students lay a good foundation. Only with a solid foundation can we study deeply, further cultivate our ability and develop our intelligence. Some top students are complacent about some achievements. They are too ambitious in their studies and are unwilling to lay a solid foundation. This is a fatal weakness. We should affirm our achievements and establish confidence in top students. But don't praise too much, but also point out the shortcomings, take advantage of the situation, and play it slowly and steadily. We must strengthen practice and consolidation in learning mathematics. In particular, we should use our brains and do more work.

2, select the content, pay attention to cultivate the ability of thinking and learning, improve the ability of self-study. According to the learning level of top students in mathematics, some high-quality learning contents are compiled, and some necessary extracurricular learning materials are provided to help them make certain learning plans. Give necessary guidance on learning methods, especially guide them to learn to compare, summarize and summarize in self-study, take notes, accumulate knowledge and solve problems. When looking at the topic, don't just stare at it, but summarize and synthesize it, so as to draw inferences from others. We should gradually let them grope for progress instead of doing things for them. When encountering difficulties, only point out the key points, make the finishing point, let students express their opinions more, cultivate original spirit and encourage innovative thinking.

3. Strengthen the infiltration of mathematical thinking methods. Mathematical thinking method is a dynamic tool for students to acquire mathematical knowledge and develop their thinking ability. In the process of training top students in mathematics to solve problems, we should grasp the good opportunity to infiltrate mathematical thinking methods, consciously and purposefully combine mathematical knowledge with mathematical problems, appropriately put forward the background of problems, provide mathematical thinking materials, and repeatedly use mathematical thinking methods to deepen the "problem solving", thus further improving the mathematical quality of top students in mathematics.

4. Actively carry out extracurricular interest group activities. Adhere to extracurricular activities and incorporate them into your teaching work plan. You can put some difficult and comprehensive math problems on the wall or copy them on the blackboard every day. Small-scale math competitions are often organized. Use holidays to hold competition-related counseling lectures to deepen and broaden students' knowledge. Encourage them to actively participate in different levels of mathematics competitions and their training.