Game homework: Games are the best carrier to stimulate interest. The game homework has the color of "playing". The design of game homework should be related to the mathematics content learned. This kind of homework is suitable for middle and lower grade students.

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Creative homework: Mathematical creation can expand students' imagination, enhance and enrich students' imagination. Students can record and analyze their usual observed mathematical knowledge, new methods in solving problems, and timely ask questions about a certain knowledge point by writing math diary and making up mathematical stories, and communicate regularly and evaluate each other.

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Design homework: Mathematical design can help students improve their comprehensive quality and cultivate their comprehensive thinking ability in the process of hands-on operation.

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Practical homework: Many contents in mathematics textbooks are closely related to society and life. Through observation, trial and other activities, students can strengthen their social cognition, enhance their awareness of social participation and promote the process of individual socialization. This kind of homework can be combined with the research topic of a teaching unit, and can be completed independently or in cooperation with many people according to the specific content.