Teaching objectives are divided into three areas, namely, cognitive area, emotional area and motor skill area. Therefore, when preparing lessons, we should choose teaching strategies, methods and media around these goals, and reorganize the content when necessary. When preparing lessons, you should follow the textbook, but you should not stick to the textbook and use it flexibly. In mathematics teaching, through the joint efforts of teachers and students, students can achieve the predetermined goals in knowledge, ability, skills, psychology, ideology and morality, so as to improve their comprehensive quality.

Second, we should be able to highlight key points and solve difficulties.

Every class should have a teaching focus, and the whole teaching is gradually carried out around the teaching focus. In order to make students clear about the key points and difficulties of this class, teachers can simply write these contents on the corner of the blackboard at the beginning of the class to attract students' attention. The key content of the lecture is the climax of the whole class. Teachers should stimulate students' brains and make them excited by changing sounds, gestures, blackboard writing, application models, projectors and other visual teaching AIDS. They can also insert jokes related to this kind of knowledge appropriately, leave a deep impression on their brains, stimulate students' interest in learning and improve their ability to accept new knowledge. Especially when choosing examples, examples are best presented in a step-by-step manner. When preparing lessons, I usually finish the topic of a section or chapter first, and then choose related topics according to the knowledge content of this section. Usually, each class involves several types of questions.

Third, we should be good at using modern teaching methods.

Under the background of new curriculum standards and new textbooks, it is particularly important and urgent for teachers to master modern multimedia teaching methods. The remarkable characteristics of modern teaching methods are: first, it can effectively increase the class capacity of each class, thus solving the original 40-minute content within 35 minutes; The second is to reduce the workload of teachers writing on the blackboard, so that teachers can have the energy to explain examples in depth and improve the efficiency of explanation; Third, it is intuitive, easy to stimulate students' interest in learning, and conducive to improving students' initiative in learning; Fourth, it is helpful to review and summarize what the whole class has learned. At the end of classroom teaching, the teacher guides the students to summarize the content of this lesson, the key points and difficulties of learning. At the same time, through the projector, the content will jump to the screen in an instant, so that students can further understand and master the content of this lesson. In classroom teaching, there are a lot of contents, such as some geometric figures in solid geometry, some simple but large number of small questions and answers, application questions with a large number of words, summary of chapters in review class, training of multiple-choice questions, etc. Can be done with the help of a projector. If possible, we can make our own computer courseware for teaching, and use computers to show what we teach vividly. For example, the drawing of sine curve and cosine curve and the derivation of pyramid volume formula can all be demonstrated by computer.

Fourth, according to the specific content, choose the appropriate teaching methods.

Each class has its own teaching tasks and goals. As the saying goes, "there is a method for teaching, but there is no fixed method". Teachers should be able to use teaching methods flexibly with the changes of teaching content, teaching objects and teaching equipment. There are many methods of mathematics teaching. For new teaching, we often use teaching methods to impart new knowledge to students. In solid geometry, we often show students geometric models or verify geometric conclusions by demonstration. For example, before teaching solid geometry, students are required to make a geometric model of a cube with lead wire, and observe the relative positional relationship between the sides, the angle formed by each side of the cube and the diagonal line of each side. In this way, when teaching the positional relationship between two straight lines in space, they can be explained intuitively through these geometric models. In addition, we can flexibly adopt various teaching methods such as talking, reading guidance, homework and practice according to the classroom content. In a class, sometimes multiple teaching methods are used at the same time. "There is no fixed method in teaching, what is important is proper method". As long as it can stimulate students' interest in learning and improve their enthusiasm for learning, it will help to cultivate students' thinking ability and help them master and use what they have learned. This is a good teaching method.

Verb (abbreviation for verb) cares about students and encourages them in time.

The purpose of the new high school curriculum is to pay attention to the development of students. Students' performance in the classroom should be summed up in time, encouraged appropriately, and accidents in the classroom should be handled well, and classroom teaching should be adjusted in time. In the teaching process, teachers should keep abreast of students' mastery of the content. For example, finish a concept and ask students to repeat it; After an example, erase the solution and let the middle-level students perform on stage. Sometimes, for students with poor foundation, we can ask them more questions and give them more exercise opportunities. At the same time, teachers should encourage them in time according to their performance, cultivate their self-confidence and let them love and learn mathematics.

Sixth, give full play to students' main role and arouse their enthusiasm for learning.

Students are the main body of learning, and teachers should start teaching around students. In the teaching process, let students play a leading role from beginning to end, let students change passive learning into active learning, let students become the masters of learning and teachers become the leaders of learning. In a class, the teacher talks as little as possible and asks the students to use their hands and brains more. When I graduated, every time I went to class, I saw that students often had to think for a long time to find an answer to a question. I was a little impatient and couldn't help telling them the way when they were about to make an answer. This will easily lead to students' dependence on teachers, which is not conducive to cultivating students' independent thinking ability and the formation of new methods. Students' thinking itself is a resource pool, and students often come up with unexpected good methods.