What Makes a HiMCM Top‑Award Paper Stand Out? The CPI Evaluation Model Explained

Answer: Innovation based on a smooth problem‑solving foundation. This article first introduces the HiMCM award categories, then explains the author's paper evaluation "CPI model" and uses it to guide modeling learning.

1 Award Categories

HiMCM website explains the award classification standards:

Successful Participant - The team made a concerted effort to respond to the contest problem and submit a solution report. The report, however, had incomplete responses to all or some requirements, and/or showed some deficiencies or weakness in the modeling processes, analysis, conclusions, and/or communication.

Honorable Mention - The team's solution report indicated an above average effort in addressing all problem requirements, and contained elements that were judged to show sound and supported processes in modeling and problem solving, analysis, conclusions, and communication of results.

Meritorious - The team's solution report was excellent in many aspects of modeling and problem solving, analysis, conclusions, and communication. The report addressed all requirements in a clear, well‑supported, well‑organized, and well‑presented manner.

Finalist - The designation Finalist recognizes teams whose solution reports are exemplary and therefore reached the final round of judging. These papers present complete and logical analysis in an organized and clear presentation above and beyond simply addressing the requirements. These papers are easy to read, easy to follow, logical, and comprehensive. Finalist papers are among the best of all team submissions.

Outstanding Winner - The designation Outstanding recognizes teams whose solution reports are determined, in the final round of judging, to be the "best of the best." These teams' reports are at the highest level relative to the contest submissions in terms of exemplary student work in modeling and problem solving, analysis, and communication. COMAP may publish and use all or part of these submissions as examples of outstanding student work.

Chinese translations of the above awards are also provided.

In short:

S award: report submitted but with noticeable problems.

H award: complete answer with outstanding performance in some aspects.

M award: complete answer, overall excellent, clear expression.

F award: excellent in all aspects, complete, clear, logical.

O award: "the best among the best".

The author groups S, H/M, and F/O awards into three classes (C, B, A) for convenience.

2 Paper Evaluation Model

The model uses three hierarchical criteria:

C stands for Completion – fully addressing the problem posed.

P stands for Proficiency – selecting appropriate models, solving all modeling tasks, and expressing the process clearly.

I stands for Innovation – not only appropriate processes but also outstanding or novel contributions. The levels are progressive: C → P → I, meaning innovation without completeness is meaningless.

Class A papers correspond to the Innovation level, B to the Proficiency level, and C to the Completion level or below. The model aligns well with the award categories, though some variability exists due to the model’s limited focus and the inherent uncertainty of contest judging.

Beyond evaluation, the model guides students to progress step‑by‑step in modeling learning.

3 Modeling Learning Guidance

Beginners should first clearly understand the entire mathematical modeling workflow, illustrated below:

Complete a full modeling cycle (problem restatement, assumptions, solution, validation, and reporting). This corresponds to the C (Completion) level of the CPI model.

Systematically learn the skills required for each stage (problem formulation, hypothesis building, common mathematical models, programming, writing). This aligns with the P (Proficiency) level.

Reflect, fill gaps, and continuously practice with real cases, enhancing teamwork and aiming for innovative improvements, which targets the I (Innovation) level.

4 Conclusion

This article shares the author's paper evaluation model and associated learning guidance. Future posts will cover high‑school modeling competition preparation, skill improvement, and original case studies.