How to write a good answer sheet for the Mathematical Contest in Modeling
1. The importance of writing a good math answer sheet
1. Evaluate the performance of the participating teams, the level and the level of award,The numerical answer sheet is the only basis.
2. The answer sheet is the written form of the results of the competition activities.
3. The training of writing a good answer sheet is a basic training of scientific writing.
2. The basic content of the answer sheet and the issues that need attention
1 Review principle: the rationality of assumptions, Creativity of modeling, rationality of results, clarity of presentation.
2 essay structure of the answer sheet
0．Summary
1．Description of the problem, analysis of the problem, analysis of the background, etc.
2．Model assumptions, notation description (table)
3．Model building (problem analysis, formula derivation, basic model, final or simplified modelWait)
4．solution of the model
▲Design or selection of computational methods; design or selection of algorithms,Algorithm idea basis, steps and implementation, calculation block diagram; software name used;
▲cite or establish necessary mathematical propositions and theorems;
▲Solution and process
5．Result presentation, analysis and testing, error analysis, model testing...
6．Model evaluation, characteristics, advantages and disadvantages, improvement methods, generalization... .
7．references
8．Appendices, calculation block diagrams, detailed diagrams...
3 issues to pay attention to
0．Summary. include:
a. Mathematical classification of the model (what type is it mathematically)
b. The idea of modeling (idea)
c. Algorithmic ideas (solution ideas)
d. Modeling characteristics (model advantages, modeling ideas or methods, algorithm characteristics, result testing, sensitivity analysis, model testing... . )
e. Main results (numerical results, conclusions) (answer all "questions" asked by the question)
▲Expression: Accurate, concise, coherent, grammatical, neat and beautiful fonts; printing is best, but it is required to conform to the article format. Be sure to proofread carefully.
1．Problem restatement. slightly
2．Model assumptions: According to the review principles determined by the National Organizing Committee, the rationality of the basic assumptions is very important.
( 1 ) Make assumptions based on the conditions in the title
( 2 ) Make assumptions according to the requirements of the title. The key assumptions are indispensable; the assumptions must be in line with the meaning of the title.
3．model building
（1）Basic model:
1) First of all, there must be a mathematical model: mathematical formulas, schemes, etc.
2) Basic model, requirementscomplete, correct, concise
（2）Simplified model:
1）To make it clear: Simplify thinking, based on
2）Simplified model, as complete as possible
（3）The model should be practical, effective, and based on the principle of effective problem solving. Mathematical modeling faces and needs to solve practical problems, and does not pursue mathematics: high (level), deep (engraved), and difficult (large degree).
●If it can be solved by elementary methods, advanced methods are not needed;
●If it can be solved with simple methods, there is no need for complicated methods;
●If you can use a method that is understood and understood by more people, you don’t need a method that only a few people can understand and understand.
（4）鼓励创新，但要切实，不要离题搞标新立异数模创新可出现在
▲建模中，模型本身，简化的好方法、好策略等，
▲模型求解中
▲结果表示、分析、检验，模型检验
▲推广部分
（5）在问题分析推导过程中，需要注意的问题：
分析：中肯、确切
术语：专业、内行；；
原理、依据：正确、明确,
表述：简明，关键步骤要列出
忌：外行话，专业术语不明确，表述混乱，冗长。
4．模型求解
（1）需要建立数学命题时：命题叙述要符合数学命题的表述规范，尽可能论证严密。
（2）需要说明计算方法或算法的原理、思想、依据、步骤。若采用现有软件，说明采用此软件的理由，软件名称
（3）计算过程，中间结果可要可不要的，不要列出。
（4）设法算出合理的数值结果。
5．结果分析、检验；模型检验及模型修正；结果表示
（1）最终数值结果的正确性或合理性是第一位的；
（2）对数值结果或模拟结果进行必要的检验。结果不正确、不合理、或误差大时，分析原因，对算法、计算方法、或模型进行修正、改进；
（3）题目中要求回答的问题，数值结果，结论，须一一列出；
（4）列数据问题：考虑是否需要列出多组数据，或额外数据对数据进行比较、分析，为各种方案的提出提供依据；
（5）结果表示：要集中，一目了然，直观，便于比较分析
▲数值结果表示：精心设计表格；可能的话，用图形图表形式
▲求解方案，用图示更好
（6）必要时对问题解答，作定性或规律性的讨论。最后结论要明确。
6．模型评价
优点突出，缺点不回避。改变原题要求，重新建模可在此做。推广或改进方向时，不要玩弄新数学术语。
7．参考文献
8．附录：详细的结果，详细的数据表格，可在此列出。但不要错，错的宁可不列。主要结果数据，应在正文中列出，不怕重复。
检查答卷的主要三点，把三关：
●模型的正确性、合理性、创新性
●结果的正确性、合理性
●文字表述清晰，分析精辟，摘要精彩
三、对分工执笔的同学的要求
四．关于写答卷前的思考和工作规划
答卷需要回答哪几个问题――建模需要解决哪几个问题
问题以怎样的方式回答――结果以怎样的形式表示
每个问题要列出哪些关键数据――建模要计算哪些关键数据
每个量，列出一组还是多组数――要计算一组还是多组数……
五．答卷要求的原理
准确――科学性
条理――逻辑性
简洁――数学美
创新――研究、应用目标之一，人才培养需要
实用――建模。实际问题要求。
建模理念：
1. 应用意识：要解决实际问题，结果、结论要符合实际；模型、方法、结果要易于理解，便于实际应用；站在应用者的立场上想问题，处理问题。
2. 数学建模：用数学方法解决问题，要有数学模型；问题模型的数学抽象，方法有普适性、科学性，不局限于本具体问题的解决。
3. 创新意识：建模有特点，更加合理、科学、有效、符合实际；更有普遍应用意义；不单纯为创新而创新。