Unmasking Reasoning Processes: A Process-aware Benchmark for Evaluating Structural Mathematical Reasoning in LLMs

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Authors: Xiang Zheng, Weiqi Zhai, Wei J. Wang, Boyu Yang, Wenbo Li, Ruixiang Luo, Haoxiang Sun, Yucheng Wang, Zhengze Li, Meng Wang, Yuetian Du, Guojie Lin
+6 more Yaxuan Wang, Xu, Xiaoxiao, Yanhu Mo, Xuan Ren, Hu Wei, Bing Zhao
Cited by: 0

Abstract

Recent large language models (LLMs) achieve near-saturation accuracy on many established mathematical reasoning benchmarks, raising concerns about their ability to diagnose genuine reasoning competence. This saturation largely stems from the dominance of template-based computation and shallow arithmetic decomposition in existing datasets, which underrepresent reasoning skills such as multi-constraint coordination, constructive logical synthesis, and spatial inference. To address this gap, we introduce ReasoningMath-Plus, a benchmark of 150 carefully curated problems explicitly designed to evaluate structural reasoning. Each problem emphasizes reasoning under interacting constraints, constructive solution formation, or non-trivial structural insight, and is annotated with a minimal reasoning skeleton to support fine-grained process-level evaluation. Alongside the dataset, we introduce HCRS (Hazard-aware Chain-based Rule Score), a deterministic step-level scoring function, and train a Process Reward Model (PRM) on the annotated reasoning traces. Empirically, while leading models attain relatively high final-answer accuracy (up to 5.8/10), HCRS-based holistic evaluation yields substantially lower scores (average 4.36/10, best 5.14/10), showing that answer-only metrics can overestimate reasoning robustness.

Fields of Study & Subjects

Topic Modeling Mathematics Education and Pedagogy Multimodal Machine Learning Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
31 January 2026
Document type
Preprint