2026年MidMCM美国中学生数学建模C题：重新设计教育

注意：只有所有队员年龄均未满 14 岁半的团队，才可以选择 C 题。

自古以来，教育就是人类文明的一部分。教育的目的随时间而演变，并随着世界的变化继续发展。不同文明、不同国家和不同文化的教育目的也各不相同。事实上，教育在现代社会承担着多种作用。教育体系通过实现其所在社会的教育目的，来满足该社会的需求。考虑到世界各地现有的教育体系可能尚未尽可能有效地满足当今社会的需求，“卓越教学法建设委员会”（Committee on Making Awesome Pedagogy，COMAP）邀请你们团队设计一个新的教育体系。

要求

1. 理解问题。

   • 教育目的：在引言中，清楚阐述你们的理念，即你们认为教育应具有何种目的。你们确定的教育目的应指导教育体系设计中的建模过程。
   • 背景与研究：除了自己亲身经历的教育体系，你们可能不熟悉其他教育体系。研究另外几种教育体系，了解它们各自的特点以及如何实现其教育目的。你们从研究中获得了哪些有助于构建新教育体系模型的认识？你们有哪些希望纳入自身教育体系的新颖或独特的教育想法？

2. 建立模型，设计新的教育体系。

   • 建立一个服务于你们所确定教育目的的新教育体系模型。模型应专门针对初中教育（Middle school education）。模型应涵盖教育体系设计的多个方面，包括教学内容、学习时间的分配，以及教育活动发生的学习环境。
   • 内容模型（Content Model）：模型应确定教育体系将包含的教育内容，例如主题、学科、技能等。这部分模型的结果应以1–2 页课程指南的形式呈现。
   • 时间模型（Time Model）：建立模型，说明你们的体系如何使用教育时间。如何将时间分配给已确定的教育内容？在你们的体系中，一个典型的学年、学期、月份、星期或一天会如何安排？这部分模型的结果应以1–2 页校历的形式呈现。
   • 实体环境模型（Physical Model）：建立模型，描述教育体系中实体学习环境应具有的样貌。在构建这部分模型时，应考虑开展学习活动的实际地点，以及对你们的教育体系至关重要的教学工具、资源、材料和／或技术。这部分模型的结果应以1–2 页学习环境宣传册的形式呈现。

3. 应用模型。制作一份1 页的广告或信函，面向同龄初中生，说明他们为什么应该愿意参与到你们的教育体系中。

4. 扩展模型并反思分析。思考如何将针对初中教育建立的模型应用于面向5–18 岁学生的教育体系的其他阶段。

5. 分享模型及其结果。向 COMAP 撰写一封1–2 页的信，解释你们的教育体系设计。务必说明模型的各个部分是如何通过设计来实现你们在论文开头确定的教育目的的。

提交要求

你们提交的 PDF 解决方案总页数不超过25 页，应包括：

• 一页摘要页。
• 目录。
• 完整的解决方案。
• 非技术性文档：
  • 1–2 页课程指南。
  • 1–2 页校历。
  • 1–2 页宣传册。
  • 1 页面向同龄人的广告或信函。
  • 1–2 页致 COMAP 的信。
• 参考文献列表。
• AI 工具使用报告（如使用了 AI 工具；此部分不计入 25 页限制）。

术语表

• Middle School Education（初中教育）：面向 11–14 岁学生的教育。
• Middle School Students（初中生）：年龄为 11–14 岁的学生。

补充提交说明

完整的 MidMCM 参赛作品没有规定最低页数。你们可以用最多 25 页呈现全部解题工作及希望包含的任何补充信息，例如绘图、示意图、计算和表格。允许提交部分解决方案。

我们允许谨慎使用 ChatGPT 等 AI 工具，但解决本题并不必须使用这些工具。如果选择使用 AI 工具，必须遵循 COMAP 的 AI 工具使用政策。这意味着你们必须在解决方案文件末尾附上一份额外的 AI 使用报告，该报告不计入解决方案的 25 页总页数限制。

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Problem C: Redesign Education

Note: Only teams with all members younger than 14 ½ years old may choose Problem C.

Education has been a part of civilization since ancient times. The purpose of education has evolved over time and continues to evolve as the world changes. The purpose of education also varies from civilization to civilization, from country to country, and from culture to culture. In fact, education serves many purposes in modern societies. Education systems are designed to fulfill the needs of societies by achieving the purposes of education for that society. Acknowledging that current education systems all over the world might not be achieving the current needs of society as effectively as possible, the Committee on Making Awesome Pedagogy (COMAP) has asked your team to design a new educational system.

Requirements

1. Understand the Problem.

   • Purpose of Education:In your introduction, clearly lay out your philosophy about what you believe the purpose(s) of education should be. The purpose(s) you identify should guide your modeling process in the design of your educational system.
   • Background/Research:You may not be familiar with education systems other than the one you have experienced. Research a few other educational systems to identify different features of educational systems and how they achieve their purpose. What did you learn from your research that will be useful in constructing your model of a new educational system? What novel or unique ideas for education do you have that you would like to include in your educational system?

2. Create your model to design a new educational system.

   • Create a model for a new educational system that serves your purpose of education. Your model should be specific to middle school education. Your model should address multiple aspects of the design of educational systems including the content that will be addressed, how time will be allocated to learning, and the learning environment where education will take place.
   • Content Model:Your model should identify educational content (e.g., topics, subjects, skills, etc.) that will be included in your educational system. The results of this part of the model should be presented in a 1-2-page curriculum guide.
   • Time Model:You should construct a model of how educational time is spent in your system. How will time be allocated to your identified educational content? What will a typical school year/semester/month/week/day look like in your system? The results of this part of the model should be presented in a 1-2-page academic calendar.
   • Physical Model:You should construct a model of what the physical learning environment of your educational system should look like. As you work on constructing this part of the model, you should consider the physical location(s) where learning will take place, the educational tools, resources, materials, and/or technology that will be important to your educational system. The results of this part of the model should be presented in a 1-2-page brochure for your learning environment.

3. Apply your model.Create a 1-page advertisement or letter addressed to your fellow middle school students to convince them why they should want to participate in your educational system.

4. Expand Your Model and Reflect on Your Analysis.Reflect on how your model for middle school education can be applied to the rest of the education system for students ages 5-18.

5. Share Your Model and its Results.Write a 1-2-page letter to COMAP that explains the design of your educational system. Be sure to include how each part of your model is designed to achieve the purpose of education that you identified at the beginning of your paper.

Submission Guidelines

Your PDF solution of no more than 25 total pages should include:

• One-page Summary Sheet.
• Table of Contents.
• Your complete solution.
• Non-technical documents:
  • 1-2 Page Curriculum Guide
  • 1-2 Page Academic Calendar
  • 1-2 Page Brochure
  • 1 Page Advertisement or letter to Peers
  • 1-2 Page letter to COMAP
• Reference List
• Report on Use of AI Tools (If used does not count toward the 25-page limit.).

Glossary

• Middle School Education:education for 11-14-year-old students
• Middle School Students:students who are 11-14-years old

Additional Submission Information

There is no specific required minimum page length for a complete MidMCM submission. You may use up to 25 total pages for all your solution work and any additional information you want to include (for example: drawings, diagrams, calculations, tables). Partial solutions are accepted. We permit the careful use of AI tools, such as ChatGPT, although it is not necessary to create a solution to this problem. If you choose to utilize AI tools, you must follow the COMAP AI Tools use policy. This will result in an additional AI use report that you must add to the back of your solution file and does not count toward the 25 total page limit for your solution.