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Automated Feedback in Math Education: A Comparative Analysis of LLMs for Open-Ended Responses

Authors
Sami Baral,
Eamon Worden,
Wen-Chiang Lim,
Zhuang Luo,
Christopher Santorelli,
Ashish Gurung,
Neil Heffernan
Date
Publisher
arXiv
The effectiveness of feedback in enhancing learning outcomes is well documented within Educational Data Mining (EDM). Various prior research has explored methodologies to enhance the effectiveness of feedback. Recent developments in Large Language Models (LLMs) have extended their utility in enhancing automated feedback systems. This study aims to explore the potential of LLMs in facilitating automated feedback in math education. We examine the effectiveness of LLMs in evaluating student responses by comparing 3 different models: Llama, SBERT-Canberra, and GPT4 model. The evaluation requires the model to provide both a quantitative score and qualitative feedback on the student's responses to open-ended math problems. We employ Mistral, a version of Llama catered to math, and fine-tune this model for evaluating student responses by leveraging a dataset of student responses and teacher-written feedback for middle-school math problems. A similar approach was taken for training the SBERT model as well, while the GPT4 model used a zero-shot learning approach. We evaluate the model's performance in scoring accuracy and the quality of feedback by utilizing judgments from 2 teachers. The teachers utilized a shared rubric in assessing the accuracy and relevance of the generated feedback. We conduct both quantitative and qualitative analyses of the model performance. By offering a detailed comparison of these methods, this study aims to further the ongoing development of automated feedback systems and outlines potential future directions for leveraging generative LLMs to create more personalized learning experiences.
Study at a glance
  • Question: How well can AI models score student answers to open-ended middle school math problems and provide quality feedback?
  • Setting and data: Student responses and teacher-written feedback for middle-school math problems, and evaluations from 2 teachers.
  • Method: Compares three AI models' scoring accuracy and feedback quality against teacher evaluations using a shared rubric.
Why it matters

Feedback effectively enhances learning outcomes, and recent developments in Large Language Models have extended their utility in automated feedback systems. Exploring how these models evaluate open-ended math responses can help advance more personalized learning experiences.

Key findings
  • In middle school math, large language models can evaluate open-ended student responses by providing both quantitative scores and qualitative feedback.
  • Large language models have extended utility for enhancing automated student feedback systems.
  • Generative language models show potential for creating more personalized math learning experiences.

Summary drafted with AI from the paper’s abstract and may contain errors. See the full paper for details.

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