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

1 Award Categories

The HiMCM website defines the following award levels:

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.

In Chinese the awards are translated as S, H, M, F, and O. For convenience the author groups them into three classes: C (S), B (H & M), and A (F & O).

2 Paper Evaluation Model

The CPI model consists of three progressive levels:

C (Completion) – the paper fully addresses all problem requirements.

P (Proficiency) – the team selects appropriate models, solves all sub‑problems, and presents the modeling process clearly.

I (Innovation) – beyond correct and fluent work, the paper shows outstanding or novel contributions.

According to this model, class C papers fall at or below the Completion level, class B papers lie between Completion and Proficiency, and class A papers sit between Proficiency and Innovation. The model aligns well with the observed quality of the different award categories, though some variability remains due to the limited scope of the model and the inherent subjectivity of contest judging.

Beyond evaluation, the CPI model serves as a roadmap for students to progress systematically through modeling practice.

3 Modeling Learning Guidance

Begin by clearly understanding the entire mathematical modeling workflow—from problem restatement and hypothesis formulation to solution, validation, and final reporting. This corresponds to the C (Completion) level of the CPI model.

Next, systematically acquire the skills needed for each stage (problem extraction, hypothesis building, model selection, etc.) and master common mathematical models, programming techniques, and scientific writing. This targets the P (Proficiency) level.

Finally, reflect on completed projects, identify gaps, and continuously refine your approach. Collaborative teamwork and iterative practice foster the I (Innovation) level, turning solid work into truly novel contributions.

4 Conclusion

The article presents the author's CPI paper‑evaluation model and associated learning roadmap. Future posts will share high‑school modeling competition preparation tips, skill‑enhancement guidance, and original case studies.