1, math games and competitions:

Design a series of interesting math games and competitions so that students can improve their math skills by participating in them. For example, puzzle games, Sudoku challenges, math fun contests and so on. These activities can not only stimulate students' interest in mathematics, but also exercise their logical thinking and problem-solving ability.

2, mathematical inquiry project:

Encourage students to choose a math topic or problem and carry out investigation and research. For example, they can study the properties of prime numbers and geometric shapes, or explore series and fractions. Students can deeply understand mathematical concepts and publish their own research results through practical observation, data collection and experiments.

3, mathematics application practice:

Design a series of practical application scenarios, so that students can apply mathematics knowledge to real life. For example, calculating discounts and budgets in shopping; Calculation of area and perimeter in architectural design; Calculate the distance and direction in the geographical location, etc. Through practical operation, students deepen their understanding of mathematical concepts and discover the importance of mathematics in daily life.

4. Mathematical creative projects:

Encourage students to design and make creative works related to mathematics. For example, design mathematical puzzles, mathematical models, mathematical graphics and so on. These activities can not only cultivate students' creativity and imagination, but also consolidate their ability to understand and apply mathematical concepts.

5, mathematics exchange show:

Organize students to show mathematical works, mathematical research results or mathematical keynote speeches. Students can show their achievements and experiences in mathematics research to their classmates and teachers orally and in writing. Such exchange activities can improve students' expression ability and teamwork ability, and at the same time, they can learn and get inspiration from other students' works.

In a word, the research of primary school math homework design can be carried out through a series of activities such as math games and competitions, math inquiry projects, math application practice, math creative projects, math exchange and display. Through these activities, students can improve their math skills, cultivate their creativity and problem-solving ability, and at the same time enhance their interest and understanding of mathematics.