Decoding the Black Box of LLM Mathematical Reasoning: A Deep Dive into the ThinkARM Framework What is the fundamental problem with evaluating AI reasoning today? We obsess over final accuracy and token counts while remaining blind to the internal cognitive structure that separates effective thinking from mere text generation. The ThinkARM framework reveals that the difference between reasoning and non-reasoning models is not how much they write, but how they structure their thinking into distinct functional episodes. As reasoning models like o1 and DeepSeek-R1 dominate the headlines, we face a paradox: we’ve never had more visibility into AI thought processes, …