Interactive and Scalable Evaluation of LLM Math Tutoring via Simulated Teacher-Student Dialogues

Gihyeon Choi, Harksoo Kim


Abstract
Evaluating LLMs as math tutors is challenging because many automated protocols either score a single response against a reference or place the model in a fixed dialogue context, without measuring its ability to build and steer tutoring interactions. We present a fully automated, simulation-based framework that generates controlled multi-turn teacher–student dialogues with turn-level answer verification under a fixed interaction budget. This budget specifies the maximum number of student–teacher rounds allowed per problem (K=5 in our main experiments). To prevent score inflation from answer-revealing feedback, we introduce an overinformative eligibility filter: a hint-only student test applied to the teacher utterance immediately preceding the student’s first correct attempt. Only eligible corrections receive credit in our effectiveness and efficiency metrics, both of which are normalized by the number of initially incorrect sessions. We also propose a diagnostic metric suite separating tutoring effectiveness/efficiency (ECR/FEI), answer reachability (ARG), and teacher judgment (correctness/incorrectness F1). Experiments on GSM8K and MATH with diverse teacher and student models show that problem-solving accuracy is an informative but incomplete proxy for interactive tutoring ability, and that filtering overinformative feedback can substantially alter apparent performance. Our framework enables scalable, reproducible, and fine-grained evaluation of LLM math tutoring beyond outcome-only scoring.
Anthology ID:
2026.findings-aacl.166
Volume:
Findings of the Association for Computational Linguistics: IJCNLP-AACL 2026
Month:
November
Year:
2026
Address:
Hengqin, China
Editors:
Yue Zhang, Ruifeng Xu, Ayu Purwarianti, Tong Rong, Jun Suzuki
Venue:
Findings
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
3300–3313
Language:
URL:
https://aclanthology.org/2026.findings-aacl.166/
DOI:
Bibkey:
Cite (ACL):
Gihyeon Choi and Harksoo Kim. 2026. Interactive and Scalable Evaluation of LLM Math Tutoring via Simulated Teacher-Student Dialogues. In Findings of the Association for Computational Linguistics: IJCNLP-AACL 2026, pages 3300–3313, Hengqin, China. Association for Computational Linguistics.
Cite (Informal):
Interactive and Scalable Evaluation of LLM Math Tutoring via Simulated Teacher-Student Dialogues (Choi & Kim, Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-aacl.166.pdf