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arXiv 2502.18940cs.CLcs.AIcs.LG

MathTutorBench:一个用于衡量LLM导师开放式教学能力的基准

MathTutorBench: A Benchmark for Measuring Open-ended Pedagogical Capabilities of LLM Tutors

Department of Computer Science, ETH Zurich(苏黎世联邦理工学院计算机科学系);ETH AI Center(ETH人工智能中心);Ubiquitous Knowledge Processing Lab (UKP Lab), Department of Computer Science, Technical University of Darmstadt and National Research Center for Applied Cybersecurity ATHENE, Germany(达姆施塔特技术大学计算机科学系);Professorship for Learning Sciences and Higher Education, ETH Zurich(苏黎世联邦理工学院学习科学与高等教育教授职位)

Jakub Macina, Nico Daheim, Ido Hakimi, Manu Kapur, Iryna Gurevych, Mrinmaya Sachan

AI总结:

本文提出开源基准MathTutorBench,通过数据集、指标和训练的奖励模型全面评估LLM导师的开放式教学能力,发现学科专业知识与教学法存在权衡关系,且长对话更具挑战性。

摘要:

评估基于AI的辅导模型的教学能力,对于在该领域取得指导性进展至关重要。然而,我们缺乏能够反映模型教学能力的可靠、易用且易于运行的评估方法。为了填补这一空白,我们提出了MathTutorBench,一个用于全面评估辅导模型的开源基准。MathTutorBench包含一系列数据集和指标,广泛涵盖了学习科学在基于对话的教学中所定义的导师能力。为了对开放式教师回复的教学质量进行评分,我们训练了一个奖励模型,并表明它能够以高准确率区分专家与新手教师的回复。我们在MathTutorBench上评估了广泛的闭源和开源权重模型,发现以解题能力为标志的学科专业知识并不能直接转化为良好的教学。相反,教学法与学科专业知识似乎形成了一种权衡,而这种权衡由模型的辅导专业化程度来调节。此外,在较长的对话中辅导似乎变得更具挑战性,较简单的提问策略开始失效。我们公开发布了该基准、代码和排行榜,以便对未来模型进行快速基准测试。

英文摘要:

Evaluating the pedagogical capabilities of AI-based tutoring models is critical for making guided progress in the field. Yet, we lack a reliable, easy-to-use, and simple-to-run evaluation that reflects the pedagogical abilities of models. To fill this gap, we present MathTutorBench, an open-source benchmark for holistic tutoring model evaluation. MathTutorBench contains a collection of datasets and metrics that broadly cover tutor abilities as defined by learning sciences research in dialog-based teaching. To score the pedagogical quality of open-ended teacher responses, we train a reward model and show it can discriminate expert from novice teacher responses with high accuracy. We evaluate a wide set of closed- and open-weight models on MathTutorBench and find that subject expertise, indicated by solving ability, does not immediately translate to good teaching. Rather, pedagogy and subject expertise appear to form a trade-off that is navigated by the degree of tutoring specialization of the model. Furthermore, tutoring appears to become more challenging in longer dialogs, where simpler questioning strategies begin to fail. We release the benchmark, code, and leaderboard openly to enable rapid benchmarking of future models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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