Simulating Students or Sycophantic Problem Solving? On Misconception Faithfulness of LLM Simulators

Created: 2026-05-16 | Tags: intelligent-tutoringllmgenerative-aibenchmarkhallucination-riskstudent-experience

Do, Sonkar & Sachan (2026) โ€” ETH Zurich. arXiv preprint.

๐Ÿ“„ Full text (arXiv)

Synthesis

This paper exposes a critical failure mode in using LLMs as simulated students for intelligent-tutoring development and evaluation. The authors introduce misconception faithfulness โ€” the property that a simulated student holds a coherent, misconception-driven belief state and updates it only when feedback addresses the underlying misconception โ€” and show that across seven LLMs (4B to 120B parameters), simulators exhibit near-zero faithfulness.

The core finding is a sycophantic failure mode: when given any corrective signal, LLM simulators abandon their assigned misconception persona and re-solve the problem from internal knowledge. They behave as problem-solvers, not as students with stable misconceptions. Using the novel Selective Flip Score (SFS), the authors quantify this: simulators flip their answers at similarly high rates regardless of whether feedback is targeted, misaligned, or generic.

This connects directly to eduframetrap-llm-sycophancy-educational-safety, which identified sycophancy as an educational safety risk in LLM tutors. Here the sycophancy is inverted: simulated students capitulate to feedback rather than maintaining authentic misconception-driven behavior. Both papers together establish sycophancy as a bidirectional problem in AIED โ€” affecting both tutor and student roles.

The post-training pipeline โ€” combining supervised fine-tuning, preference optimization, and RL with SFS-aligned rewards โ€” achieved SFS gains up to +0.56, demonstrating that misconception faithfulness is trainable. This has implications for ai-tutor-safety-harms: if student simulators used for tutor safety testing are themselves unfaithful, safety evaluations conducted on them may systematically miss harm patterns that real students would exhibit.

For student-experience and benchmark development, this paper motivates a paradigm shift from static output matching toward interactive, belief-aware student modeling โ€” a theme that also resonates with llm-student-modeling-memory and the behavioral evaluation framework in ai-tutor-behavioral-evaluation.

Related Pages

- simulating-students-java-programming-errors-llms โ€” Related work on simulating student errors with LLMs for programming education

Citation

APA: Do, H., Sonkar, S., & Sachan, M. (2026). Simulating Students or Sycophantic Problem Solving? On Misconception Faithfulness of LLM Simulators. arXiv:2605.12748.