First of all, we must determine the theme of learning. The theme should be related to mathematics, which has certain research value. Such as "comparing the time complexity of different algorithms" or "exploring the laws of geometric figures".
Next, we need to collect and organize relevant information. Understand the background, concept and existing research results of the research problem. For example, when studying the comparison of time complexity of different algorithms, we need to know what time complexity is, what are the commonly used algorithms and how their time complexity is.
In the body part, it is necessary to clearly explain the definition, concept and background of the research question. At the same time, we should put forward our own views, ideas and methods. For example, in the article "Exploring the laws of geometric figures", we can put forward a method of studying geometric figures by using vectors and coordinate systems, and give a concrete solution.
Then, you need to quote relevant facts, data or other materials to support your views or conclusions. For example, in the article Comparison of Time Complexity of Different Algorithms, we can compare the time consumption of different algorithms by running the program and give specific data support.
Finally, it is necessary to summarize the questions or topics raised in the article and highlight the main idea and significance of the article. For example, "by studying the laws of geometric figures, we can better understand the basic concepts and properties in geometry and provide new ideas and methods for future research."
The reference part needs to list the relevant documents and materials cited in the paper. These documents can be books, periodical papers, reports, etc. For example, in the article "Comparison of Time Complexity of Different Algorithms", you can refer to Introduction to Algorithms, Introduction to Computer Science and other related materials.