The extracurricular assignments of traditional textbooks are all mechanized and single imitation exercises, which have not adapted to the requirements of the new curriculum standards. In order to think hard and realize "re-creation", students can feel the connection between mathematics and real life through homework, give full play to their knowledge potential, cultivate their awareness of exploration and innovation, and give themselves a sky for development. Let me talk about my own method of optimizing homework design:

First, hierarchical design, so that students can experience success.

Let students experience the joy of success, which can enhance their self-confidence and optimistic and positive attitude, which is the starting point for their healthy development. Because students' physical and mental health is influenced by congenital endowment and acquired factors, there are differences. In order to let students at different levels have a successful experience and a chance to shine, we must adopt the strategy of "homework stratification", so that students at different levels can freely choose the part of homework that suits them and pick their own "fruits". After teaching four operations in one class, I assigned four parts of homework.

Students of different levels have different effects in completing their homework. The next day, after the teacher finished the evaluation, as long as the teacher gave it a nudge, they were finished. At the same time, I also encourage them to challenge the homework of innovative questions and cultivate their courage to overcome difficulties. Therefore, in homework, teachers should establish the concept of "only differences, no poor students", so that students of different levels and levels can experience success, especially innovation success.

Second, design interesting homework to stimulate students' interest.

Interest is the best teacher. Psychological research shows that if a person has a strong interest in an activity, then the efficiency of this activity is high. But for a long time, due to the influence of reception, teachers didn't think much about designing homework, just reading books. Many students have lost interest in homework, lost the aura of learning mathematics, and lost the passion of creation, which has seriously affected the healthy development of students. In order to change this situation, it is necessary to enhance the interest and practicality of homework in homework design. Only in this way can students concentrate on their homework and keep full of enthusiasm, thus improving the quality of homework and forming good hobbies; Do things from happiness and get pleasure from doing things. For example, when the sum of any two sides of a triangle is greater than the third side, I designed two student assignments:

1, hands-on operation, found the problem (can and can not form a triangle).

Teacher: Please take out three sticks of your schoolbag and swing them to see if they can form a triangle.

Experiment: Swing with a stick to see if you can form a triangle.

(1) Students swing, and teachers patrol and guide.

(2) Report and exchange (some say they can form a triangle, others say they can't-the teacher's courseware demonstration).

Teacher: What's this? Please think about it. Under what circumstances can three sticks form a triangle?

Teacher: It can be seen that whether a triangle can be formed is related to the length of its three sides.

With the help of life experience, let students set up sticks and think, and let them find out whether a triangle can be formed is related to the length of sticks, that is, some can be placed in triangles, and some can not be placed in triangles, thus stimulating students' interest in exploration and cultivating students' exploration spirit.

2. Deepen application and solve problems.

Xiao Gang wanted to make a model sailboat and asked for a tripod. He now has two small iron bars, 5 cm and 8 cm respectively. Please help Xiaogang think about it. You should prepare a small iron bar of several centimeters, which can be made into a triangle.

Sailing boat

Learning methods: (1) Group activities: exchange ideas with the group.

(2) the group report, explain the reasons.

(3) Teacher-student summary: Prepare a small iron bar larger than 3cm and smaller than 13cm, which can be used as a sailing boat with triangular support. Open mathematics problems make students gradually improve their consciousness and ability to solve problems in divergent thinking activities.

Third, in life practice, let students improve their problem-solving ability.

As the saying goes, "Seeing in a hundred stories is believing", even the best knowledge cannot be separated from the test of practice. In order to make students make good use of mathematics knowledge, I design life practice questions on the basis of students' existing knowledge and life experience, guide students to find the breakthrough point of life, guide students to explore mathematics problems by hands, brains and self-reliance, let students look at, analyze and solve practical problems in life with mathematical knowledge and mathematical thinking methods, and let students realize the application value of mathematics. For example, after learning the surface area and volume of a cylinder, I designed such a life exercise: Please measure the thermos and cup and record the relevant data, and make the packaging box for the thermos and cup to see who designed it reasonably and beautifully.

This problem conforms to the actual situation of students' life, which can help students acquire a lot of mathematics knowledge in life, improve the effect of classroom teaching and cultivate students' innovative consciousness. I think the writing of life practice questions should start from the familiar life situation of students, which can stimulate students' interest in learning and innovation ability.

The optimal design of primary school students' homework should not only consider gender factors, but also take care of personality development. For students with different knowledge levels, our requirements should also vary from person to person. Analyze and evaluate students' homework in time, sum up experience from it, and constantly improve and improve the quality and effect of extracurricular homework.