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How to Cultivate Top Students in Mathematics
This is the need of the times and the need of national construction. At present, the society is in the era of rapid development of knowledge economy, and all walks of life are calling for the emergence of outstanding talents. Excellent students with mathematical talent cannot spontaneously appear. No matter how clever and studious you are, you can't teach yourself. They need training, targeted guidance and strict training. Teachers can't ignore the task of finding and cultivating top students in mathematics on the basis of general improvement.

To cultivate top students in mathematics, we must first be good at finding and choosing good seedlings. Top students should have a solid foundation, active thinking, quick thinking, great learning potential, strong ability to analyze and solve problems, and strong interest in mathematics and innovative spirit. Mainly from the following aspects:

1. Pay attention to the all-round and balanced development of students' learning level in all subjects. As a top student, you must have a solid strength in mathematics, physics and chemistry, as well as a good foundation in liberal arts, in order to have a strong understanding, expression and induction ability. This is an indispensable prerequisite for top students to become talents.

2. Pay attention to students' intelligence level. Some students study hard, are good at imitation and are cautious and patient. They often get excellent results in regular exams, but they are limited to books and lack potential in learning. Such students are not suitable as the seeds of top students. Others have strong thinking ability, like studying hard, reading extra-curricular books, learning by themselves in advance, and being ingenious, but careless. Their math scores are not stable.

3. Understand students' non-intelligence factors. Top students in mathematics often have a strong desire to learn, good self-confidence and perseverance, unique learning methods and scientific study habits. These non-intelligence factors can strengthen the learning depth and improve the learning efficiency.

It is very important to select the top students in mathematics accurately, but this is only the first step. More importantly, we should solve the relationship between popularization and improvement, and the contradiction between top students and ordinary students. If these problems are not solved well, they will inevitably lose sight of one thing and lose sight of another. How to deal with these problems, so that top students in mathematics can be fully developed, and what about by going up one flight of stairs in terms of knowledge and skills? According to the specific characteristics of these top students, effective corresponding measures should be taken:

1, strict requirements, solid foundation. 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 their abilities and develop their intelligence. Some top students are complacent because of some achievements and are too ambitious in their studies, which is why they are unwilling to lay a solid foundation. Build confidence. But don't praise too much, but point out the shortcomings, make the best use of the situation, and be steady and steady. In learning mathematics, we must strengthen practice and consolidate, especially with our brains and hands.

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. We should generalize from one side to the whole, draw inferences from one side and draw inferences from another. We should gradually let them grope for progress instead of doing things for them. When encountering difficulties, we should only point out the key points and make the finishing point, so that students can express their opinions more, cultivate their original spirit and encourage them to think differently.

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 cultivating top students in mathematics to solve problems, we should seize the good opportunity of infiltrating mathematical thinking methods, consciously and purposefully combine mathematical knowledge with mathematical problems, appropriately put forward the background of problems, provide mathematical thinking materials, repeatedly use mathematical thinking methods, dissolve in thinking activities and deepen in "problem solving".

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. You often organize some small-scale math competitions. Use holidays to hold competition-related counseling lectures to deepen and broaden students' knowledge. Encourage them to actively participate in different levels of math competitions and their training.

5. Strengthen the professional quality of teachers. Teachers should constantly update their knowledge, not only master all the contents of middle school mathematics, but also broaden the relevant knowledge on this basis, teach it to top students in mathematics in time, accurately and appropriately, and influence them as much as possible with their profound skills. Therefore, in addition to preparing lessons and attending classes, teachers should always learn relevant books and papers written by other experienced teachers or experts to enrich themselves.