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MathChat: Converse to Tackle Challenging Math Problems with LLM Agents

Project Overview

The document explores the implementation of MathChat, an innovative conversational framework that harnesses Large Language Models (LLMs) like GPT-4 to enhance problem-solving in mathematics through interactive dialogue. This system facilitates a dynamic exchange between an LLM agent and a user proxy agent, enabling users to engage in iterative reasoning and real-time error correction while tackling complex math problems. Evaluations demonstrate that MathChat significantly outperforms traditional prompting methods, achieving higher accuracy in solving challenging mathematical tasks. By employing effective prompting techniques and allowing for multi-turn dialogue, MathChat exemplifies the transformative potential of generative AI in education, illustrating how such technologies can foster deeper understanding and improve learning outcomes in mathematics.

Key Applications

MathChat

Context: High school and college students tackling challenging math problems, particularly from competition datasets.

Implementation: The MathChat framework facilitates a conversation between an LLM agent and a user proxy agent to solve math problems interactively. It uses Python for code execution and incorporates various prompting methods to guide the LLM.

Outcomes: MathChat improves problem-solving accuracy by 6% over previous methods, achieving competitive performance across various categories in the MATH dataset.

Challenges: Complex math problems remain challenging for LLMs, and issues such as calculation errors and logical inaccuracies occur, especially in longer solutions.

Implementation Barriers

Technical Barrier

LLMs may fail to devise appropriate plans or execute steps flawlessly in problem-solving, leading to incorrect answers. Dependence on LLMs and tools like Python may not align with human learning needs, causing potential misinformation.

Proposed Solutions: Utilizing external tools for validation and error checking in each step of the problem-solving process can mitigate issues and improve accuracy. Developing a reliable LLM-based problem-solving assistant that can verify steps with established knowledge and external databases.

Project Team

Yiran Wu

Researcher

Feiran Jia

Researcher

Shaokun Zhang

Researcher

Hangyu Li

Researcher

Erkang Zhu

Researcher

Yue Wang

Researcher

Yin Tat Lee

Researcher

Richard Peng

Researcher

Qingyun Wu

Researcher

Chi Wang

Researcher

Contact Information

For information about the paper, please contact the authors.

Authors: Yiran Wu, Feiran Jia, Shaokun Zhang, Hangyu Li, Erkang Zhu, Yue Wang, Yin Tat Lee, Richard Peng, Qingyun Wu, Chi Wang

Source Publication: View Original PaperLink opens in a new window

Project Contact: Dr. Jianhua Yang

LLM Model Version: gpt-4o-mini-2024-07-18

Analysis Provider: Openai

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