MisconceptDialogue: Evaluation Criteria Shape Measured Success in LLM Math Tutoring

Woojin Lee, Yoonkyu Woo, Jinah Kim, Hyeok-Min Gwon, Jin-Xia Huang


Abstract
Large language models are increasingly used as math tutors, raising two questions: can a single LLM detect a student’s error, diagnose the underlying misconception, and remediate it through multi-turn dialogue—and can we trust the numbers that report how well it does? We address both with MisconceptDialogue, a fully automated framework that runs the full pipeline on five open-weight LLM tutors (7B–14B) interacting with LLM-simulated students over 5,000+ dialogues—a deliberately simulated protocol (paired conditions, a wrong-diagnosis control unsafe with real learners, scale) whose results do not establish real-student learning. On measurement, our headline finding is uncomfortable for the field: benchmark-style exact-match scoring common in standard math NLP—a lower-bound stress test—reports 42.1% measured Remediation Success Rate on identical dialogues where a human-calibrated LLM-as-judge reports 81.3%, a 39.2 percentage-point spread larger than the combined effects of tutor model, teaching strategy, and supplied diagnostic information. This is not a single-judge artifact: four independent LLM judges and 200 human annotations converge to within a few points (κ up to 0.91). On capability, the verdict is equally striking: the score barely changes whether we tell the tutor the student’s actual misconception or a deliberately swapped one—under the tested diagnosis-presentation format, these tutors show little evidence of reliably conditioning on the diagnostic information they are handed. For LLM tutoring evaluation to mature, multi-criterion scoring with multi-judge convergence and human anchoring should become standard practice—and the measurement question deserves as much scrutiny as the capability question it claims to answer.
Anthology ID:
2026.aacl-long.112
Volume:
Proceedings of the 15th International Joint Conference on Natural Language Processing and the 5th Conference of the Asia-Pacific Chapter of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
November
Year:
2026
Address:
Hengqin, China
Editors:
Yue Zhang, Ruifeng Xu, Ayu Purwarianti, Tong Rong, Jun Suzuki
Venues:
AACL | IJCNLP
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
2454–2473
Language:
URL:
https://aclanthology.org/2026.aacl-long.112/
DOI:
Bibkey:
Cite (ACL):
Woojin Lee, Yoonkyu Woo, Jinah Kim, Hyeok-Min Gwon, and Jin-Xia Huang. 2026. MisconceptDialogue: Evaluation Criteria Shape Measured Success in LLM Math Tutoring. In Proceedings of the 15th International Joint Conference on Natural Language Processing and the 5th Conference of the Asia-Pacific Chapter of the Association for Computational Linguistics (Volume 1: Long Papers), pages 2454–2473, Hengqin, China. Association for Computational Linguistics.
Cite (Informal):
MisconceptDialogue: Evaluation Criteria Shape Measured Success in LLM Math Tutoring (Lee et al., AACL-IJCNLP 2026)
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PDF:
https://aclanthology.org/2026.aacl-long.112.pdf