Multi-Agent Collaborative Framework For Math Problem Generation

Automatic question generation (AQG) for mathematics education remains an elusive goal for Intelligent Tutoring Systems and educators. While pre-trained transformer-based language models have significantly advanced natural language generation, they often struggle to precisely control problem complexity and cognitive demands. In this paper, we introduce a collaborative multi-agent framework as a novel method of incorporating inference-time computation into AQG. This approach leverages multiple agents that iteratively refine generated question-answer pairs to better balance complexity and cognitive demand. We evaluate the generated questions on five meta-evaluation criteria: relevance, importance, clarity, difficulty matching, answerability, to assess the system's ability to control the required complexity and quality of the questions. Preliminary evaluations show that this collaborative multi-agent framework elevates the quality of generated educational content by fostering a more nuanced balance between cognitive challenge and clarity. These promising outcomes suggest that integrating collaborative multi-agent workflows can yield more controlled, pedagogically valuable content that can help advance automated educational content generation and adaptive learning environments.

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Publication Details

Journal
ArXiv.org
Published
2025-07-12
DOI
https://doi.org/10.5281/zenodo.15870246
Primary Topic
Intelligent Tutoring Systems and Adaptive Learning
Type
article
Field-Weighted Citation Impact
0.00
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article

Multi-Agent Collaborative Framework For Math Problem Generation

M Samadi, Kia Karbasi, Gregory J. Pottie, Kevin Hong
ArXiv.org
Intelligent Tutoring Systems and Adaptive Learning
article

Multi-Agent Collaborative Framework For Math Problem Generation

M Samadi, Kia Karbasi, Gregory J. Pottie, Kevin Hong
article en

Abstract

Automatic question generation (AQG) for mathematics education remains an elusive goal for Intelligent Tutoring Systems and educators. While pre-trained transformer-based language models have significantly advanced natural language generation, they often struggle to precisely control problem complexity and cognitive demands. In this paper, we introduce a collaborative multi-agent framework as a novel method of incorporating inference-time computation into AQG. This approach leverages multiple agents that iteratively refine generated question-answer pairs to better balance complexity and cognitive demand. We evaluate the generated questions on five meta-evaluation criteria: relevance, importance, clarity, difficulty matching, answerability, to assess the system's ability to control the required complexity and quality of the questions. Preliminary evaluations show that this collaborative multi-agent framework elevates the quality of generated educational content by fostering a more nuanced balance between cognitive challenge and clarity. These promising outcomes suggest that integrating collaborative multi-agent workflows can yield more controlled, pedagogically valuable content that can help advance automated educational content generation and adaptive learning environments.

ArXiv.org
Openalex Percentile: Top 82%
Intelligent Tutoring Systems and Adaptive Learning
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Multi-Agent Collaborative Framework For Math Problem Generation — M Samadi, Kia Karbasi, et al. · ArXiv.org (2025) | TGRS Research Map | TGRS