"Interest is the best teacher", and the new curriculum standard also points out: "Starting from the familiar life situation and fairy tale world of students, choose things that students are interested in, and stimulate students' interest and motivation in learning ..." When designing homework, we should start from students' age characteristics and life experience, and design math homework with childlike interest and closeness, so as to stimulate students' interest in learning and make them become enthusiastic and active learners.

For example, after learning "Multiplier is the multiplication of a single digit", I designed a game to help the rabbit find the house number, that is, the rabbit received a phone call from the bear and invited the rabbit to his house to play. Xiong said his house number was 108. But when the rabbit arrived at the neighborhood where the bear lived, he looked silly. It turns out that the house numbers here are all multiplication formulas. Can you help the rabbit find the bear's home? In order to change the boring phenomenon of the original calculation problems, we can design some playable assignments that are of interest to children, such as "finding the house number", "Little monkey breaking through the customs", "Little gecko finding the tail" and "climbing the throne", etc., and integrate the calculation problems into the story, so that students can master the calculation methods and skills in a relaxed and happy atmosphere and improve their calculation ability and interest in learning.

Second, design exploratory homework to make students become explorers of problems.

Students' completing math homework is also a kind of math learning activity. Effective math learning activities do not simply rely on imitation and memory, but students' hands-on practice, independent exploration and cooperative communication, so that students can truly understand and master math knowledge, skills and math ideas and gain rich experience in math activities. Therefore, when designing homework, we should design some exploratory homework based on students' active exploration, experiment, thinking and cooperation according to the teaching content and students' experience in mathematics activities, so that students can become explorers of a problem in mathematics activities.

1, observation work. Observation is the window of thinking, which can help students find problems and discover the laws and essence of things. For example, when learning "axisymmetric graphics", you can arrange an assignment: please observe the shapes of some plane graphics such as butterflies and Tiananmen Square at home. What did you find? What do you think of the graphics of this function?

2. Investigation. Let students explore mathematics in life, which can cultivate students' inquiry ability and enhance their sense of numbers. For example, after the teaching of "saving water" in math activity class, students can investigate the monthly water consumption at home or school and write a suggestion on rational water use according to the survey results.

3. Experimental homework. Let students experiment and operate, which is helpful for students to understand knowledge and develop their abilities. For example, after studying "Application of Proportional Distribution", students can be asked to configure some disinfectants to disinfect kitchen supplies according to the instructions of disinfectants they use.

4, small topic inquiry homework. Let students explore with the knowledge and experience they have learned, which can not only deeply understand mathematics, experience fun, but also construct their own knowledge. For example, after learning "scale", let students make a plan of their living room and think: Do you think the design and decoration of this living room are reasonable? Are there any improvement measures? Why? Please write an investigation report.

Third, design life homework to make students become knowledge practitioners.

Life is a place where students learn mathematics, and it is also a place where students use mathematics to solve practical problems. Therefore, when designing homework, we should create practical problems in life, encourage students to try to use the mathematical knowledge and methods they have learned, find solutions to problems from the perspective of mathematics, experience the value of mathematics in real life, and let students realize that there is mathematics everywhere in life, and life cannot be separated from mathematics, and gradually become knowledge practitioners.

For example, after learning the perimeter and area of rectangles and squares, students can become decoration designers. If your floor needs to be decorated, can you provide your parents with a decoration suggestion form? We can consider the following questions:

(1) What is the length and width of each room? What is the area of each room?

(2) according to the living conditions of your family and your hobbies, choose the materials you need from the list of materials? Calculate how much materials and money are needed.

(3) How many meters does * * * need if marble strips are pasted around the living room and dining room?

Fourth, design hierarchical homework to make students become talents in practice.

Due to the influence of cultural environment, family background and their own factors, the differences in mathematics knowledge and ability among students exist objectively. Our education is for all students, so that "different people get different development in mathematics." Therefore, when designing homework, you can't "one size fits all". We should design graded homework according to students' individual differences, create an environment for any student to practice, improve and develop, and make every student a success in practice.

1, "package" type. According to students' different levels, imitation exercises, variant exercises and expansion exercises are designed, and students can freely choose their own homework according to their actual situation. (Group A: Basic questions, focusing on the training of basic knowledge and skills, suitable for "students with learning difficulties"; Group B: comprehensive expansion questions, which aim at cultivating students' migration ability and are suitable for "intermediate students"; Group C: Smart questions, encouraging students to solve problems creatively, suitable for "top students". Hierarchical homework makes it no longer difficult for students of different levels to finish their homework, even if they have difficulties, they can work hard to finish it. Moreover, the self-defined level of homework can challenge to a higher level and stimulate students' interest in completing homework. Of course, this requires our teachers to pay more and persevere! )

2. "Multi-flavor" type. According to the differences among students, some exercises with different solutions and results are designed to meet the needs of students at different levels.

Fifth, design independent homework to make students become active learners.

Students are the masters of mathematics learning. In the design of homework, we should fully reflect the students' dominant position, provide students with opportunities to participate in exploration, actively acquire knowledge and analyze and apply knowledge, and try our best to let students design, control and answer homework themselves, so that students can truly become the initiative, explorer and winner of learning.

Design open homework to make students become application innovators.

Problems in real life often exist in complex and incomplete real situations. Its solution not only requires students' ability to find and analyze problems, but also requires students' divergent thinking and innovative ability. Therefore, when designing homework, we should combine reality and challenges, design open homework with the aim of stimulating students' innovative thinking, and make students truly become innovators.

For example, after learning the "percentage application problem", you can design such a topic: if a family travels to a certain place, the travel agency's charging standard is: buy three full tickets, and the rest are half-price; B the charging standard of travel agency is: family tour is a group ticket, and the original price is 20% off. The original price of both travel agencies is 1000 yuan per person.

1) Which travel agency are you going to choose if you go to your home?

2) After reading this information, what suggestions do you have for other families to travel?

Homework correction, to be updated

As for correcting, the current situation is "batch by batch, batch by batch", which makes students busy finishing their homework on time every day, too busy to care about right and wrong, and rarely take the initiative to think, and the enthusiasm for self-reflection is seriously suppressed. Students do homework and teachers correct homework, which is a continuation of classroom teaching and an important channel for both teachers and students to obtain information. However, we often find that some students do their homework well, but their scores in the first exam are not ideal. The reason is that students have to copy their homework in order to hand it in, and teachers have to be cheated. Most teachers often use "√", "×" and "?" When correcting homework. Such as simple symbols, students can only know which question is wrong through these symbols, but they don't know where it is wrong. All I got was inexplicable information. To sum up, it is very hard for teachers to "batch-batch" homework, which not only fetters the hands and feet of teaching reform, but also fetters the initiative of students.