Review is a generalization and summary of a stage of mathematical knowledge, aiming at consolidating, deepening and broadening what students have learned, so as to achieve the purpose of reviewing the past and learning new things. The main task of teachers' teaching is to accumulate knowledge and develop thinking for students. Scientific review can often achieve twice the result with half the effort. However, due to the heavy content, heavy tasks and tight time, teachers and students often fall into various misunderstandings when reviewing, which will be very serious if they are not overcome.

Myth 1: mechanical "named naval battle"

The traditional review method of mechanical repetition and sea tactics has become a "conventional weapon" for some teachers. Every day, students have to face repeated problems that have not been screened, and even some off-topic and strange problems. These problems do not take into account the development of students' personality and inhibit the cultivation of students' thinking quality. A lot of homework makes some students physically and mentally tired, and then they are tired of learning. Although this allows students to do some problems mechanically, they may not understand the method of solving problems, especially so.

Countermeasures: It is the key to guide students to review in a targeted way. When reviewing, we must find out the gaps and weak links of students' knowledge based on the curriculum standards and the teaching materials, and take effective measures to break through the gaps and weak links according to the actual situation of students in this class. It is necessary to focus on the key points, difficulties and contents that students generally fail to grasp.

Myth 2: Blind "dragnet" censorship

Some teachers don't know the true meaning of review, and they don't even have the most basic review plan and review outline when reviewing. The review class brings all the knowledge in the textbook to the classroom indiscriminately, covering everything like new knowledge, without summarizing the key parts and systematically sorting out the knowledge content. How can students not be bored? Without novelty, guidance and guidance, students wander in the original thinking level, which directly affects the subsequent development of students' thinking and wastes limited review time.

Countermeasures: Emphasizing "systematic review" is not to ignore the importance, but to clarify the knowledge system, guide students to systematically classify, sort out and synthesize some chaotic knowledge structures in their minds, and form a network system, so that students can see the ins and outs of knowledge and their internal relations clearly.

Myth 3: Isolated "guerrilla warfare"

Some teachers lack the overall thinking when making the review plan, and conduct isolated and scattered review in one chapter and one unit, lacking understanding of the occurrence, development law and knowledge system of mathematics knowledge, failing to reflect the vertical and horizontal connection, resulting in time-consuming, laborious and poor effect. Students know what it is, but they don't know why.

Countermeasures: We should be good at comprehensively reviewing all aspects of knowledge and pay attention to the connection, variability and inclusiveness between knowledge. The design of exercises should not be a single review and mechanical operation of old knowledge, but should reflect the comprehensiveness of knowledge, thus cultivating students' agility and creativity. At the same time, it is necessary to design examples that are mainly explained in each review class, and review an example to hit multiple knowledge points, which plays a role in pulling one hair and moving the whole body.

Myth 4: boring review methods

Some teachers' operation forms are dull, their training methods are simple, and they don't pay attention to the application of creative methods. They just want to review the old knowledge, but they don't use new methods to reproduce the old knowledge from a new angle, which fails to make students have new discoveries and new gains. In addition, they don't pay attention to the communication with students and ignore their feelings. Mechanical and boring review makes students feel bored and prone to resistance, which is not conducive to the consolidation of knowledge.

Countermeasures: Try to design some interesting, orderly, flexible and novel topics, so that students can expand their desire for knowledge and find the key to solving problems.

Therefore, teachers should consciously change the teaching form and create some difficulties for students to explore and think, which not only achieves the teaching purpose, but also enables students to gain new experiences. In addition, audio-visual media can also be used as an auxiliary means to make the review class diverse and novel, so that students can feel that the review class is also fresh and exciting, and further improve their judgment and reasoning ability.

In a word, the mathematics review class should pay attention to the mastery of knowledge, and the superb teaching level of teachers "making the finishing point" and "waking the dreamer with a word" is particularly important. Teachers should pay attention to the process of students' intellectual development, provide students with sufficient thinking space, make students willing to learn and think, actively participate in mathematical thinking, and gain profound mathematical thinking experience. This is the best strategy for math review.