arXiv:2411.05423cs.CLcs.AI2024-11中稿 · NeurIPS被引 10

用大模型自动生成数学题与精准配图,提升教学效率

VISTA: Visual Integrated System for Tailored Automation in Math Problem Generation Using LLM

  • 多智能体协作:分工完成计算、几何验证与绘图
  • 在几何与函数题上显著提升图文一致性与语义相关性
  • 适合教育科技开发者和数学教学资源创作者

在数学教育中,几何图形与函数图像等视觉辅助对提升学生理解至关重要,但自动生成准确且一致的视觉内容仍具挑战。本文提出VISTA——一个基于大语言模型(LLM)的多智能体框架,可自动化生成复杂数学可视化内容及连贯的问题文本。系统通过多个专用智能体协同工作,分别负责数值计算、几何合理性验证与可视化生成,确保问题与图示在数学上准确且上下文相关。在几何与函数类题目上的评估显示,该方法在文本连贯性、一致性、相关性和相似度上显著优于基础LLM,同时保持原问题的几何与函数完整性。尽管在视觉输出一致性方面仍存挑战,该框架展示了LLM在变革数学教学资源生成方式上的巨大潜力。

原文摘要 · Abstract (English)

Generating accurate and consistent visual aids is a critical challenge in mathematics education, where visual representations like geometric shapes and functions play a pivotal role in enhancing student comprehension. This paper introduces a novel multi-agent framework that leverages Large Language Models (LLMs) to automate the creation of complex mathematical visualizations alongside coherent problem text. Our approach not only simplifies the generation of precise visual aids but also aligns these aids with the problem's core mathematical concepts, improving both problem creation and assessment. By integrating multiple agents, each responsible for distinct tasks such as numeric calculation, geometry validation, and visualization, our system delivers mathematically accurate and contextually relevant problems with visual aids. Evaluation across Geometry and Function problem types shows that our method significantly outperforms basic LLMs in terms of text coherence, consistency, relevance and similarity, while maintaining the essential geometrical and functional integrity of the original problems. Although some challenges remain in ensuring consistent visual outputs, our framework demonstrates the immense potential of LLMs in transforming the way educators generate and utilize visual aids in math education.

数学教育视觉生成多智能体

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