As the saying goes, "everything is difficult at the beginning", and a good beginning is a good foundation for successful teaching. Gorky said about his creative experience: "The first sentence at the beginning is the most difficult, just like setting the tone in music, it often takes a long time to find." "Everything is expensive at the beginning" is like listening to a story. If the beginning is wonderful, you will want to hear it to the end. In fact, the same is true of mathematics teaching. The key to improve the teaching quality is to optimize the classroom teaching process as the focus of classroom teaching reform, and improve the quality within 40 minutes, which requires teachers to continuously strengthen their subjective consciousness and innovative consciousness. In the process of introducing new lessons, teachers can stimulate students' interest in learning, attract students' attention and make them actively participate in the study of new knowledge by carefully designing the introduction methods and introducing new lessons accurately and skillfully with appropriate and concise language. The introduction of new courses should be targeted, enlightening, novel and concise, stimulate students' interest, make students clear their learning goals, make students concentrate, and inspire thinking teaching is a development process. This requires teachers to constantly reflect, make progress and innovate from practice.

First, review old knowledge and learn new knowledge.

Mathematics curriculum standard points out: "Mathematics teaching is the teaching of mathematics activities and the process of interactive development between teachers and students." Therefore, the curriculum design of the new curriculum has become a very important link in the design of mathematics classroom teaching, which directly prepares for the success of the new curriculum. Therefore, the introduction of new curriculum teaching plays an important role in classroom teaching. Confucius said, "Review the past and learn the new." Reviewing old knowledge is a common method in new curriculum teaching. Teachers should use a variety of teaching methods, create novel learning methods, and constantly try a variety of teaching activities to make teaching more dynamic, make students happier, and let happy teaching permeate teaching.

In order to make the review targeted, purposeful and feasible, and find out the key points and difficulties, the outline (curriculum standard) is the basis of the review, and the teaching materials are the blueprint for the review. I often use cartoon images in education and teaching. The appearance of this image excites children, makes students easy to accept and increases their interest in learning mathematics. According to the age characteristics of students, create a teaching situation conducive to students' autonomous learning. When reviewing, we should find out the difficulties, doubts and the reasons why all knowledge points are easy to make mistakes, so that the review can be targeted and get twice the result with half the effort.

Second, create problem situations to stimulate students' interest in learning

How important it is to create a democratic, equal, harmonious and open classroom atmosphere. American psychologist Rogers pointed out: "Successful teaching depends on sincere understanding and trust between teachers and students and a harmonious classroom atmosphere." Teachers carry out teaching according to the classroom content, and "setting doubts" as the guide of learning create problem situations for students, thus attracting their attention. The introduction of new courses in this way can often achieve unexpected results. The problem is that teachers consciously set obstacles to make students question and guide students to think. This is a purposeful and directional thinking orientation. Stimulate students' thirst for knowledge by asking questions and promote students' active learning.

The ancients said, "Learning begins with thinking, and thinking originates from doubt". Problems are the starting point of thinking, and the process of thinking usually begins with the need to deal with some difficulties and solve some problems. According to students' cognitive level, enlightening questions can stimulate students' curiosity and arouse their hearts. If students have doubts, it will cause suspense, make them feel confused and have cognitive conflicts. Textbooks are carriers of cultivating students' abilities, inspiring students, setting problems for them to solve, giving students time to think, creating suspense for them to explore, and giving students opportunities for development, competition and creation. Teachers should be good at setting contradictions in static textbook knowledge information, skillfully setting doubts, creating a good thinking situation, so that students can "think what they want, but can't say it" and their learning mood will enter the best state from the beginning. Introducing the new lesson with questions, the teacher asks the students questions about the content of the new lesson. The students know something, but they are not very clear. Create problem situations so that students have the desire to understand, explore and introduce new courses.

Third, use a variety of teaching methods to stimulate students' desire to learn.

Hua, a famous mathematician, once said, "As far as mathematics itself is concerned, it is magnificent, colorful and charming …" Enthusiasm can open the door to thinking and develop intelligence and ability. Teachers should be good at stimulating students' interest in learning, make full use of the mathematics classroom, and build it into a space full of vitality and charm, so as to stimulate students' thinking, let them actively feel the beauty of mathematics and pursue it. The teaching method of game introduction refers to the creation of problem game scenes to stimulate students' participation consciousness. Let students feel that they are the masters of learning. Starting from students' hobbies, turn the knowledge they want to learn into "games". Through the perceptual activities of the game, students are guided to complete their learning goals from the game, so as to carry out effective and targeted learning. For example, when teaching simple addition and subtraction mixed operation application problems, the problem game scenario created can stimulate students' participation consciousness, make students stay in the game, make their thinking more active and increase their interest in learning knowledge.

Aristotle put forward that "thinking begins with surprise and doubt", and suspense can concentrate students' attention and stimulate their thinking. In classroom teaching, to stimulate students' motivation for knowledge, teachers should always encourage students to dare to question. In view of the mistakes in students' study, we carefully design targeted practical classes, adopt the methods of encouragement, suggestion and reminder, and dare to put forward different opinions. If the lead-in design of math class is wonderful, students' thirst for knowledge will be high and the teaching goal will be achieved. At the beginning of class, let students practice first and then analyze, so that everyone can understand where and why they are wrong, which not only deepens students' understanding of existing knowledge, but also clears the way for learning new knowledge.

The ancients also said: "Teachers are easy to seek, but teachers are hard to find." Mr. Tao Xingzhi, the people's educator, put it well: "Learn to be a teacher and be a teacher." Teachers expand the educational space, shorten the distance between teachers and students, win the trust of students, and let students establish the correct learning purpose. Of course, there are more ways to introduce new courses. Teachers can try to use these methods in the implementation of lead-in, or they can explore new methods and skills with old methods. However, we should pay attention to the overall design of classroom teaching, take the introduction of new courses as a link, be concise and stick to the theme, and avoid distracting students from the main course. As long as the guidance is good, we can get twice the result with half the effort, stimulate students' enthusiasm for learning and obtain good teaching results. To cultivate students' innovative spirit, we must have a relaxed environment and a harmonious and pleasant atmosphere. Believe in every student, respect every student, inspire every student, and let their innovative potential be fully developed.