The composition order of the paper is: title, author, abstract, keywords, English title, English abstract, English keywords, text, references, appendix and thanks. So, what are the format requirements of mathematics education papers? Let me introduce you.

1. Summary:

There is no doubt that the abstract occupies an important position in the whole mathematical model paper, which is the first impression of the judges on your paper, so this part of the writing must be made great efforts and must not be sloppy. With the American championship (MCM & amp； Icm), for example, the abstract is the decisive factor for your paper to get a good ranking, and the judges will decide whether to continue reading your paper through your abstract. In other words, even if your paper is well written in other aspects and the abstract is not well written, your paper will not be taken seriously. I think writing an abstract should include six aspects: problems, methods, models, algorithms, conclusions and characteristics. In short, the summary should reflect what methods you used, what problems you solved and what conclusions you reached. In addition, according to my reading of outstanding papers in American competitions, good abstracts contain two characteristics, namely * * * *: simple and clear, and can be used for reference.

2. Questions raised:

I won't explain this part much. Generally, it is enough to copy the original competition questions directly, but I think it can be summarized appropriately when there is enough time. In American competitions, this part is called background or introduction. You can write some background knowledge about this problem.

3. Model assumptions:

I think hypothetical conditions can generally be excavated from the topic. In addition, there are two points worth noting in the hypothesis: ① factors that have no influence (or little influence) on the problems we solve but can simplify the model should be reflected in the hypothesis. You can't make many assumptions in order to simplify the problem (making the solution of the problem itself inconsistent with the original intention), so you should pay attention to the assumptions? Quantity? With what? Degree? .

4. Symbol description:

There are bound to be a lot of mathematical symbols in your paper, so this part should make these symbols into one.

It can be briefly explained from the aspects of symbols, types (variables, constants), units, meanings, etc. (as shown in the following table):

It should be noted that the unit quantity outline is unified, and the meaning explanation should be accurate and clear.

5. Problem analysis:

From topic to model is a thinking process from concrete to abstract, and this part is the embodiment of this process. Personally, I think this part is a highlight of the article. I suggest that you list your thinking process with figures or charts while explaining the text, which will make your thinking clear and clear. In addition, this part should make an overall analysis of the topic, make full use of the information and conditions in the topic, and determine what method to use to establish the model. My experience tells me that we can get some preliminary judgments of the problem from the topic: (for example, we can get the maximum output in the limit case, spend the least time and so on. And the scheme we finally get cannot exceed (or be lower than) the amount we analyze here. ), this part should reflect the prototype to solve the original problem. In short, the role of problem analysis in the whole paper lies in connecting the preceding with the following, and it can also reflect the comprehensive level of the contestants.

6. Model construction:

The establishment of the model is to abstract the original problem into the expression of mathematical language, and its establishment method will vary with the understanding and emphasis of the problem. In recent years, I found that there are two main directions in the domestic mathematical modeling competition: one is probability statistics; The first is the problem of operational optimization. Therefore, it is very important to master the above two aspects of knowledge for establishing the model. In addition, I also think that we should pay attention to the clear explanation of each model formula, and the mathematical symbols in it must be consistent with the previous explanation.

7. Model solution:

There are many ways to solve the model, but software programming is generally used to solve it. Here I suggest you use math software to solve it. You should be familiar with at least one of the three softwares (matlab, maple, Mathematical) and learn some special softwares. For example, sas, splus, spss argot, Lindo and so on to solve probability and statistics problems. Who will solve the problem of operation optimization? Secondly, try to solve it in different ways, which can not only reflect your open mind, but also indirectly verify the correctness of your solution. In addition, some brief steps of the main algorithm, methods to deal with or simplify problems, and appropriate application of tables or images. Finally, I need to remind you that you can give mathematical proof when necessary, which will add a lot of color to your paper.

8. Model (result analysis):

In our model hypothesis, some secondary factors affecting the problem are ignored, which simplifies the problem more or less, but it will inevitably produce some errors; In addition, there are many ways to solve problems, and only one or two of them may be used in the paper, so the ideas may be limited; And the pattern itself will have its advantages and disadvantages. Therefore, what we should do in this part mainly includes the following three points:

A. whether it can be solved in other ways or methods.

B. analysis of the advantages and disadvantages of the model.

C. error analysis or sensitivity analysis of the model.

Doing the above work well is not only a supplementary explanation to the original question, but also a rigorous thinking and logic, so that your paper can be completed in one go.

9. Evaluation and popularization of the model:

Due to the limitations of the article itself, some problems can be discussed in depth here, which is another highlight of the article, and the stronger team can give full play to it. The role of this part in the whole paper is to make the finishing point. In addition, we have discussed and extended the problem in many aspects: we can relax the assumptions to consider the problem appropriately; You can improve your algorithm, and so on. I think qualitative analysis is enough here. Finally, it is mainly the horizontal and vertical divergence problem.

10. Reference

Pay attention to the format here. Access conditions are clearly defined:

A the description of the book is: [No.] author, title, place of publication: publishing house, year of publication.

B. The expression of periodical papers in the references is: [No.] author, paper name, magazine name, issue number, page number and publication year.

C. The expressions of network resources in references are: [No.] author, resource title, website address and access time.

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