Interactive LLM-based Tutoring of Math and Physics Students

Session Number

CMPS(ai) 13

Advisor(s)

Anderson Trimm, Illinois Mathematics and Science Academy

Discipline

Computer Science

Start Date

17-4-2025 10:15 AM

End Date

17-4-2025 10:30 AM

Abstract

Large language models (LLMs) show promise for educational applications but frequently hallucinate incorrect answers, making them unreliable for tutoring. Even on well-known problems, LLMs often produce factually incorrect responses, misinterpret prompts, or fail to follow instructions. We address this issue with a chain-of-thought-based grounding method, requiring the model to generate and internally verify a structured reasoning process before interacting with students. We implement this approach in CᴏTᴜᴛᴏʀ, a tutoring system designed to provide mathematically rigorous, self-verified explanations.

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Apr 17th, 10:15 AM Apr 17th, 10:30 AM

Interactive LLM-based Tutoring of Math and Physics Students

Large language models (LLMs) show promise for educational applications but frequently hallucinate incorrect answers, making them unreliable for tutoring. Even on well-known problems, LLMs often produce factually incorrect responses, misinterpret prompts, or fail to follow instructions. We address this issue with a chain-of-thought-based grounding method, requiring the model to generate and internally verify a structured reasoning process before interacting with students. We implement this approach in CᴏTᴜᴛᴏʀ, a tutoring system designed to provide mathematically rigorous, self-verified explanations.