1, choose a specific, clear and valuable research topic. We can find problems from teaching practice, textbook research, students' learning difficulties and so on, and determine the research theme.

2. Literature review, refer to relevant literature, and understand the research status, existing research results and shortcomings of this topic at home and abroad. This step can help you better understand the research background and significance of the subject.

3. Determine the research method, and choose the appropriate research method according to the nature and research purpose of the subject. The commonly used research methods are literature research, investigation research, experimental research and so on. This step needs to explain the theoretical basis and operation process of the selected method in detail.

4. Make a research plan, and make a detailed research plan according to the research methods and research contents. Including research schedule, division of labor, data collection and analysis methods. This step needs to ensure the feasibility and scientificity of the plan.

5, the implementation of research, according to the research plan, and gradually implement the research. Including data collection, data collation, data analysis, etc. This step needs to pay attention to the authenticity and accuracy of the data and scientific analysis methods.

6. Write a research report and write a research report according to the research results. Including introduction, literature review, research methods, research results and discussion. This step needs to pay attention to the logic and organization of the report, as well as the reliability and popularization of the results.

7. Exchange and promotion of research results, and exchange and share research results with peers through academic conferences and periodical publications. At the same time, the research results can also be applied to teaching practice, so that the research results can be popularized and applied. This step needs to pay attention to the confidentiality and intellectual property rights of the results.

8. Summary and reflection: summarize and reflect on the whole research process, evaluate the achievements and shortcomings of the research, and put forward suggestions and suggestions for improvement. This step can help you better understand your strengths and weaknesses in the research process and provide reference for future research.

The importance of mathematical research projects;

First of all, mathematical research helps to cultivate people's logical thinking and abstract thinking ability. Learning mathematics can help us improve our ability to analyze problems, cultivate our ability of logical thinking and train our ability of abstract thinking. These abilities are not only useful in the field of mathematics, but also can be applied to other disciplines and daily life.

Secondly, mathematical research plays an important role in promoting scientific and technological progress. Many scientific fields rely on mathematical methods and tools to analyze data, build models and predict results. Mathematics provides a theoretical basis for physics, chemistry, biology and other disciplines and plays an important role in modern scientific research.

At the same time, the development of modern technology can not be separated from the support of mathematics, such as computer science, artificial intelligence, cryptography and other fields rely on mathematical algorithms and theories. In addition, mathematics research can also expand the breadth and depth of students' thinking, help students use existing knowledge and skills to solve practical problems, and more importantly, expand the breadth and depth of students' thinking.