When there are mistakes in students' homework, such as examining questions, calculating, observing, analyzing and judging, teachers can use comments to give guidance to students so that they can solve problems correctly. Comments such as "find the correct quantitative relationship first", "try it by backward deduction" and "what to do next" are actually the routes for students to think. Students think and correct themselves under the teacher's prompt. According to the guidance, students not only find out where they are wrong, but also know why they are wrong and how to correct them. The comments at this time reflect the effect of "four or two".

Appropriate comments can stimulate learning interest and strengthen learning motivation. "The method is great, but be careful!" "Wonderful solution, wonderful", "You must have a wonderful idea, because you are my pride". Don't scold exercise books with particularly poor quality. On the contrary, try to find their bright spots and mobilize their enthusiasm in an encouraging tone. "You can do it!" "You have made great progress because you work hard." "I am very happy to see that you are making progress. I want you to walk up a flight of stairs. " This emotional comment made the students feel the teacher's care for him and full of hope. This will gradually generate a strong interest in learning.

Teachers should properly evaluate and encourage students' mistakes, so that students can have a correct understanding of success and failure, so as to win without arrogance and lose with grace. In particular, let students treat failure calmly, establish confidence in winning, and make it clear that "failure is the mother of success."

Second, actively guide, broaden ideas and innovate independently.

Comments should not only reflect the correctness of students' problem solving, but also give appropriate guidance on learning methods, so that they can form correct ideas and methods of problem solving, and pay attention to tapping students' intellectual factors. Through active guidance, broaden students' thinking and cultivate students' independent innovation ability.

Use comments to give appropriate inspiration, help develop students' potential and activate students' innovative consciousness. For example, "one problem with many solutions" trains students to analyze and think from various angles and different directions, overcomes the unfavorable factors of fixed thinking, develops ideas, and uses the transfer of knowledge to enable students to correctly and flexibly solve ever-changing application problems. Students who affirm their unique views by commenting on "ingenious solutions and wonderful methods" have many solutions to some problems, while students only use one. You can write: "Is there a better solution?" "If you love thinking, you must have brilliant ideas!" . Such comments stimulate students' innovative consciousness, let students open their hearts and gallop their imagination; Encourage students to think, find problems, put forward assumptions and try to verify the application of induction and summary; Let them dare to think and do, and encourage students to be innovative and "try".

Third, strict requirements, positive encouragement and good study habits.

Correcting students' homework should not only judge right or wrong, understand students' cognitive level, but also pay attention to the evaluation of students' non-intellectual factors. Developing good study habits is the basis of mastering knowledge and cultivating ability, which meets the requirements of quality education.

Teachers should strictly control the writing, format and arithmetic process of students' homework. These are external standards that reflect good study habits. Pointing out the shortcomings in homework with appropriate comments in time can make students correct them quickly. For example, "You are smart. It would be better if you wrote better! " ""The result is correct, but the format is correct? " "Smart, you will find a simple way! "and so on.

For students who make mistakes because of carelessness, we should first affirm their advantages, enhance their self-confidence, and then put forward hope and correct their shortcomings. For example, "move your stumbling block-carelessness, go forward!" " ""Make friends with your heart! " "Your handwriting is really beautiful. It would be best if the accuracy can be improved! " Or "Be careful, be sure! "In this way, on the one hand, it will not dampen their self-confidence, on the other hand, it will help them correct their bad tendencies and cultivate a rigorous attitude towards their studies.

The students finished their homework correctly and excellently. In addition to marking "Excellent ☆", they added various comments and started a competition. Such as "you are great!" "Wonderful!" "Very good!" Students with good handwriting, high accuracy of homework and the most creative problem solving are marked as "best!" Students are full of interest in these strange and fresh comments, and naturally their advantage in learning mathematics has shifted.

Of course, when writing comments, we should be concise, clear, natural, cordial, realistic, full of hope and inspiring, so as to get good teaching results.