1. Interest-driven: First, you should choose a topic that interests you. If you are not enthusiastic about your research topic, you may feel difficult and depressed in the process of research.
2. Research value: Secondly, you need to consider whether your research topic has practical value. Your research should be able to solve a specific problem or contribute to a certain field.
3. Feasibility: You also need to consider whether your research topic is feasible. You need to make sure that you have enough time and resources to finish your research.
4. Tutor's suggestion: You can ask your tutor. They may give you some valuable ideas or help you determine a suitable research topic.
5. Literature review: By consulting relevant literature, we can know which topics have been studied and which topics have not been fully studied. This can help you find a novel research topic.
6. Course-related: If you are studying for a degree in mathematics, you can choose a topic related to your course. In this way, you can improve your academic ability while completing your thesis.
Generally speaking, you need to consider your interest, research value, feasibility, tutor's suggestion, literature review and curriculum relevance when choosing a topic for a math paper.