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CogMath: Assessing LLMs' Authentic Mathematical Ability from a Human Cognitive Perspective

Jiayu Liu, Zhenya Huang, Wei Dai, Cheng Cheng, Jinze Wu, Jing Sha, Song Li, Qi Liu, Shijin Wang, and Enhong Chen

ICML 2025

Conceptual overview of the work

OVERVIEW

CogMath evaluates the mathematical abilities of large language models through three stages inspired by human cognition: problem comprehension, problem solving, and solution summarization. It uses nine fine-grained dimensions to distinguish apparent answer accuracy from genuine mastery.

CITATION

@inproceedings{liu2025cogmath,
  title = {CogMath: Assessing LLMs' Authentic Mathematical Ability from a Human Cognitive Perspective},
  author = {Liu, Jiayu and Huang, Zhenya and Dai, Wei and Cheng, Cheng and Wu, Jinze and Sha, Jing and Li, Song and Liu, Qi and Wang, Shijin and Chen, Enhong},
  booktitle = {Proceedings of the 42nd International Conference on Machine Learning},
  volume = {267},
  pages = {38692--38707},
  year = {2025},
  url = {https://proceedings.mlr.press/v267/liu25ab.html}
}
NORMALcogmath.md UTF-80%

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