There are abundant mental health education materials in mathematics textbooks. Using them organically in teaching and carrying out positive psychological education for students will achieve twice the result with half the effort.

If the content of "Yang Hui Triangle" in high school mathematics can be linked with Yang Hui, a famous mathematician in the Southern Song Dynasty, then the content of "Yang Hui Triangle" should be explained clearly, not understated, but expanded. Talking about the history of mathematics related to "Yang Hui Triangle" can stimulate students' patriotic enthusiasm, enhance their national pride, stimulate their enterprising spirit in learning and stimulate their psychological development in a positive and healthy direction.

Secondly, the objective analysis of the fluctuation of academic comprehensive evaluation is the main measure to infiltrate psychological frustration education.

Psychological frustration refers to people's nervous state or emotional reaction due to the inability to eliminate obstacles when their goals are blocked under the impetus of a certain motivation. The road of life may encounter setbacks, and only by overcoming all setbacks can we draw a perfect full stop to life. Frustration education is an important part of mental health education.

In the study of high school mathematics, the main aspects that easily make students encounter setbacks are:

1. The fluctuation of academic comprehensive evaluation can't meet the ideal requirements, especially the decline of one exam result, which leads to psychological pessimism and disappointment, thus learning passively and falling faster.

2. If you can't answer the difficult questions, it will cause psychological irritability and even give up the pursuit of learning. The most effective way to solve the psychological frustration caused by difficult problems is to give students help in their studies, guide frustrated students to solve some math problems, let students feel the happiness of winners and promote the healthy development of psychology.

Third, to teach students how to learn as a breakthrough to promote the healthy development of psychology.

Teach students to master scientific learning methods, that is, give guidance to intellectual factors that affect learning, such as how to observe, remember, think and imagine; How to solve the problem; How to create, etc.

Give guidance to students' learning process, such as guiding students to make their own learning plans, reasonably arrange learning time, follow learning rules and principles, guide students to master the methods of previewing, attending classes, taking class notes, reviewing and doing homework, guide students to learn by themselves after class, and how to use reference books to find and accumulate information. Guiding students to make psychological adjustment in time is mainly to guide the adjustment methods of non-intellectual factors that affect learning. How to stimulate students' learning motivation, overcome their weariness and enhance their learning confidence; How to overcome difficulties in learning, enhance learning perseverance, how to cultivate diligent learning attitude and develop good study habits.

Fourth, create a good atmosphere for the healthy development of mental health around the process and methods.

Mathematics classroom learning atmosphere is an important factor for the healthy development of psychology, and students' classroom psychological activities restrict the efficiency of classroom learning. We should create a good classroom atmosphere to make students' cerebral cortex in an exciting state, so as to achieve the purpose of open thinking, quick thinking and rich imagination. Teachers should be creators and maintainers of classroom atmosphere, and use active emotional contagion students to arouse the resonance of teachers and students as much as possible.

For example, the sum of the first 10 items of arithmetic progression {an} is 3 10, and the sum of the first 20 items is 1220. Can we determine the formula of the sum of the first n terms in arithmetic progression from these conditions? How should teachers guide students to turn this question into the sum of the top 30 items? Let students think and explore. When the question is given, the students' enthusiasm for exploration is mobilized and they immediately devote themselves to exploration. Students give the following solutions:

Health 1: From the result Sn = 3N2+N, S30=2730 when N is replaced by 30.

Teacher: OK! Grasping the relationship between special and general is the way of thinking of learning sequence.

Health 2: Let Sn=An2+Bn, then we can get: A=3, B= 1, so S30=2730.

Teacher: It has grasped the essential characteristics of arithmetic progression's formula of sum of the first n terms, which is of great application value to the treatment of arithmetic progression's first n terms and related problems. Can this problem be solved in other ways? Students give solutions.

Health 3: ∫ s10 = a1+a2+…+a10.

s20-s 10 = a 1 1+a 12+…+a20 = s 10+ 10d

s30-S20 = a 2 1+a22+…+a30 = S20-s 10+ 10d = S20-s 10-s 10

∴s30=3×( 1220-3 10)=2730

Teacher: arithmetic progression's nature and another summation formula are flexible and ingenious. Some students gave another solution under their inspiration.

Health 4: It can be proved that S 10, S20-S 10, S30-S20 become arithmetic progression,

∴2(s20-s 10)=s 10+s30-s20

Substitute S 10=3 10 and S20= 1220 to get S30=2730.

Teacher: OK! This law reflects the essence of arithmetic progression. Can we discuss a more general conclusion? At this time, students' enthusiasm for exploring problems is getting higher and higher, and everyone is actively thinking.

S5: If the series {an} is arithmetic progression, then Sk, S2k-Sk and S3k-S2k become arithmetic progression.

Teacher: Great! This method is concise and clear when dealing with related problems.

Students' nature is positive, but a frustrated psychological factor leads to fear of making mistakes and dare not answer questions. Long-term habits form passive thinking. Therefore, teachers should pay attention to the good atmosphere of process and method, encourage students to answer questions, be good at finding bright spots from students' answers, give positive affirmation, and create a position for mental health development.

Fifth, create a successful situation and cultivate students' mental health.

From the perspective of psychodynamics, successful experience is the positive feedback of learning effect and the core factor affecting students' sense of self-efficacy. "Small success is the mother of great success", teaching activities should be geared to all students, creating a successful situation for each student that can be achieved through hard work, so that students at different levels can have successful experiences and stimulate their motivation to keep making progress.

There are all kinds of exams in high school mathematics learning stage, and some students have exam anxiety. Exam anxiety is a bad psychological state, which affects the review before the exam, and also forms the psychology of nervousness, anxiety and fear during the exam, which affects the normal performance of the exam.

In this regard, we should pay attention to psychological counseling before the exam and cultivate good psychology. In ordinary quizzes, through some words, deliberately create a tense atmosphere for students, and then create a relaxed atmosphere after tension, which can cultivate students' good psychology. In the face of some large-scale exams, pre-test counseling and relaxation education are also essential. In the face of the examination paper of the mathematics college entrance examination mode, we should scientifically analyze the possible situation of our answers before the exam and have a correct estimate of ourselves. In the exam, students with moderate academic performance should be good at giving up some difficult problems. It is normal for them to encounter 12 multiple-choice questions, and it is normal for them not to do 1 ~ 2. Six students can solve the big problem, and the second problem of the last three problems may get stuck. Don't panic. Only by correctly understanding, eliminating ideological worries and enhancing self-confidence can we improve the efficiency of memory and thinking, give full play to our own level and achieve ideal results in the examination room.

In a word, let's pay attention to students' mental health, treat mental health education positively in classroom teaching, consciously and actively apply psychological principles and methods, combine teaching content and form, provide psychological counseling in time, infiltrate mental health education, help students enhance the effect of classroom learning activities, improve the quality of classroom teaching, and let every student get healthy and all-round development.