1, topic selection
Choosing a topic is the first step in mathematics writing, and it is also a very important step. The topic should be in line with one's own interests and level, with certain innovation and value, and at the same time, the feasibility and readability should be considered. The sources of topics can be textbooks, teaching materials, reference books, periodicals, the Internet and so on. And it can also be your own life experience, observation and discovery, problem solving, etc.
2. Overview
Outlining an outline is the second step in mathematics writing, and it is also the key step in organizing ideas and materials. Sketching an outline can help us grasp the structure and logic of the article, and at the same time select and arrange the content in a targeted manner, making the article more organized and convincing.
When making an outline, we should pay attention to the following points: first, follow the general mathematical paper format, that is, title, abstract, introduction, text (including definition, theorem, proof, examples, etc. ), conclusions, references, etc.
Second, according to the type and characteristics of the article, the proportion and order of each part can be flexibly adjusted. For example, the article of problem-solving appreciation can omit the abstract and introduction and directly enter the text; The third is to clarify the main sentence and supporting sentence of each part, highlight the key points and difficulties, and avoid redundancy and digression.
Step 3 write the first draft
Writing the first draft is the third step in mathematics writing, and it is also the core step to show one's mathematics thoughts and achievements. When writing the first draft, we should pay attention to the following points: First, we should follow the norms of mathematical language and use appropriate symbols, terms and formulas. , and pay attention to the format and marking of definitions, theorems, proofs, etc.
Second, follow the principle of mathematical logic, ensure that reasoning is correct, rigorous and complete, and pay attention to the use of appropriate conjunctions and turning words to make the article smooth and coherent; Third, follow the standards of mathematical aesthetics, strive to express clearly, concisely and elegantly, and pay attention to using appropriate metaphors, analogies and contrasts to make the article lively and interesting.
4. Modify the feedback before modifying it.
Revising feedback and then revising is the fourth step of mathematics writing, and it is also the necessary step to improve one's mathematics writing level. Pay attention to the following points when modifying feedback: First, check and correct the first draft from the aspects of content, structure and language, so as to eliminate mistakes and deficiencies.
The second is to solicit opinions and feedback from others, evaluate and suggest the first draft from the perspective of readers or experts, and absorb useful opinions and criticisms; Thirdly, according to the feedback, the first draft is revised again, and the details are further improved and optimized.