Toward a Benchmark for Controllable Simulation of Imperfect Students with Large Language Models

Fuente: arXiv
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Auteurs principaux: Apartsin, Alexander, Sason, Omri, Aperstein, Yehudit
Format: Preprint
Publié: 2026
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author Apartsin, Alexander
Sason, Omri
Aperstein, Yehudit
author_facet Apartsin, Alexander
Sason, Omri
Aperstein, Yehudit
contents Teacher education requires deliberate practice with learners who exhibit identifiable strengths, weaknesses, and partial mastery. Large language models could support such practice by simulating students with known skill components, enabling teachers to rehearse explanations, diagnoses, and instructional responses. For this purpose, however, the central requirement is neither to maximize benchmark accuracy nor to suppress isolated facts, but to control model behavior so that it reflects a specified skill profile. This paper investigates whether prompted language models can be steered to retain some skills while suppressing others. We introduce a benchmark-oriented framework in which an explicit skill vector represents a simulated student, prompt-based control specifies retained and missing competencies, and behavior is evaluated using profile-alignment metrics, retained-versus-forgotten comparisons, and cross-skill calibration analyses. The results show that selective partial mastery can be induced and measured in a structured mathematics setting, although the degree of controllability remains model-dependent. These findings position controllable learner simulation as a distinct research problem at the intersection of teacher education, educational simulation, and language-model control.
format Preprint
id arxiv_https___arxiv_org_abs_2605_25601
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Toward a Benchmark for Controllable Simulation of Imperfect Students with Large Language Models
Apartsin, Alexander
Sason, Omri
Aperstein, Yehudit
Computation and Language
Artificial Intelligence
Teacher education requires deliberate practice with learners who exhibit identifiable strengths, weaknesses, and partial mastery. Large language models could support such practice by simulating students with known skill components, enabling teachers to rehearse explanations, diagnoses, and instructional responses. For this purpose, however, the central requirement is neither to maximize benchmark accuracy nor to suppress isolated facts, but to control model behavior so that it reflects a specified skill profile. This paper investigates whether prompted language models can be steered to retain some skills while suppressing others. We introduce a benchmark-oriented framework in which an explicit skill vector represents a simulated student, prompt-based control specifies retained and missing competencies, and behavior is evaluated using profile-alignment metrics, retained-versus-forgotten comparisons, and cross-skill calibration analyses. The results show that selective partial mastery can be induced and measured in a structured mathematics setting, although the degree of controllability remains model-dependent. These findings position controllable learner simulation as a distinct research problem at the intersection of teacher education, educational simulation, and language-model control.
title Toward a Benchmark for Controllable Simulation of Imperfect Students with Large Language Models
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2605.25601