用人类解题理论分析大模型推理过程,揭示思维阶段转换规律。
Understanding the Thinking Process of Reasoning Models: A Perspective from Schoenfeld's Episode Theory
- 引入认知心理学的解题阶段理论,标注模型推理中的思维状态。
- 构建首个公开的大模型推理细粒度分析基准,含数千条标注数据。
- 适用于研究模型可解释性、提升推理可控性的研究人员。
尽管大型推理模型(LRMs)生成了大量思维链式推理,但我们缺乏理解这些思维结构的系统性框架。本文首次将经典的霍恩费尔德解题阶段理论(Schoenfeld's Episode Theory)应用于分析LRM的推理轨迹。通过使用七种认知标签(如计划、执行、验证)对数千句模型生成的数学问题解答进行标注,构建了首个公开可用的细粒度机器推理分析基准,包含大规模标注语料库和详尽的标注手册。初步分析揭示了LRM推理中认知状态间的转换动态等显著模式。该框架为解释模型认知提供了理论基础,推动未来更可控、透明的推理系统发展。
原文摘要 · Abstract (English)
While Large Reasoning Models (LRMs) generate extensive chain-of-thought reasoning, we lack a principled framework for understanding how these thoughts are structured. In this paper, we introduce a novel approach by applying Schoenfeld's Episode Theory, a classic cognitive framework for human mathematical problem-solving, to analyze the reasoning traces of LRMs. We annotated thousands of sentences and paragraphs from model-generated solutions to math problems using seven cognitive labels (e.g., Plan, Implement, Verify). The result is the first publicly available benchmark for the fine-grained analysis of machine reasoning, including a large annotated corpus and detailed annotation guidebooks. Our preliminary analysis reveals distinct patterns in LRM reasoning, such as the transition dynamics between cognitive states. This framework provides a theoretically grounded methodology for interpreting LRM cognition and enables future work on more controllable and transparent reasoning systems.
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