Develop a thesis statement based on your research. This statement is usually one to two sentences in length and located in the abstract or introduction of a math paper. The body of your essay will support the idea, so it is pivotal that it is sound. The nature of your thesis will come from thorough research and theoretical application. For a theoretical math paper, an example would be a flaw in an established theorem or an introduction to a new formula.
Demonstrate in the paper how you reached your theory. When you're solving a math problem, it is necessary to show your work to show that you understand the process and how it is being used, not just stumbling onto the right answer. The same goes for a theoretical math paper. You should show how you used existing research and new data to develop your thesis statement.
Form your theoretical paper like a narrative. This does not mean writing in first person or putting your theory in chronological order with others. However, it should be organized logically for flow and ease of reference. Subheadings can be useful in dividing this information in accordance with your selected style guide.
Translate numeric operations into words. For example, the symbol "+" should be written as "plus," unless you are showing an example of your theory or formula in practice. Even though this paper is on the subject of math, it should adhere to all preset guidelines on grammar including punctuation and spelling.