Creating situations and stimulating learning motivation is the premise of guiding students to actively participate in the learning process. Tolstoy said: "Successful teaching needs not coercion, but stimulating students' interest in learning. "In order to arouse students' eager desire to learn, teaching began. Teachers should, on the basis of necessary basic training, combine students' cognitive level and real life, create certain problem scenarios, guide students to understand the significance of scenarios, put forward mathematical questions, describe mathematical problems in mathematical language, and put students in the problem scenarios. Teachers take advantage of the situation, introduce new lessons and let students actively participate in learning activities.

Second, organize activities to explore new knowledge.

"Mathematics Curriculum Standard" points out: "Hands-on practice, independent exploration and cooperative communication are important ways for students to learn mathematics". In classroom teaching, let students ask math questions in situations, guide students to explore independently, and let students solve problems in autonomous learning. This link can be divided into the following steps:

1. Target orientation

The goal refers to the classroom teaching goal, which is the direction of "teaching" and "learning" determined by both teachers and students to guide the whole classroom. Teachers and students are guided by learning objectives and carry out a series of teaching activities to promote the realization of teaching objectives.

2. Independent investigation

In view of the problem scenario created in the previous link, students flexibly use various methods to explore new problems independently. Form your own basic ideas to solve problems through independent exploration activities.

3. Group cooperation and communication

Group cooperation and communication is an important way for students to learn. According to the mathematical questions put forward by students in the situation, teachers organize learning to discuss and communicate in groups, so that students can experience the formation process of knowledge and deepen the knowledge structure.

Report and summary

The results of students' group cooperation and communication and the effect of discussing problems all need necessary communication. In this process, students' ability of discrimination, reasoning and expression has been trained and improved.

5. Fully verify and acquire * * * knowledge.

When students make some progress in communication, encourage students to use their own methods to verify their conclusions. At this time, teachers should affirm and praise in time, and constantly guide students to understand and master knowledge and master methods and skills. Teachers can make necessary summaries and explanations according to students' activities and problems in communication, and give objective evaluation to students' research, communication and problem-solving methods, so that students can further clarify the strategies to solve such problems and feel happy to solve them.

Third, consolidate and deepen, expand and improve.

As an indispensable part of mathematics class, it is an effective link to further consolidate knowledge, deepen knowledge, transform knowledge into ability and improve students' application level. The newly taught exercises focus on students' inquiry process of knowledge, and the choice of exercises tends to be basic and special. In teaching, we should design different levels of exercises and adopt various forms of exercises to consolidate what we have learned and guide students to know themselves, establish self-confidence and develop themselves in the process of reaching the standard.

Fourth, summarize and review, evaluate and reflect.

As the end of a class, let the students talk about what they have learned and gained in this class and evaluate themselves. This process is to help students organize scattered knowledge into coherent and systematic knowledge. Teachers should affirm students' mental state of participating in learning, make positive comments on students, and let students have the joy of acquiring knowledge and confidence to continue to study hard.