Combining model tracing and constraint-based modeling for multistep strategy diagnoses

Fuente: arXiv
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Auteurs principaux: van der Hoek, Gerben, Jeuring, Johan, Bos, Rogier
Format: Preprint
Publié: 2025
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author van der Hoek, Gerben
Jeuring, Johan
Bos, Rogier
author_facet van der Hoek, Gerben
Jeuring, Johan
Bos, Rogier
contents Model tracing and constraint-based modeling are two approaches to diagnose student input in stepwise tasks. Model tracing supports identifying consecutive problem-solving steps taken by a student, whereas constraint-based modeling supports student input diagnosis even when several steps are combined into one step. We propose an approach that merges both paradigms. By defining constraints as properties that a student input has in common with a step of a strategy, it is possible to provide a diagnosis when a student deviates from a strategy even when the student combines several steps. In this study we explore the design of a system for multistep strategy diagnoses, and evaluate these diagnoses. As a proof of concept, we generate diagnoses for an existing dataset containing steps students take when solving quadratic equations (n=2136). To compare with human diagnoses, two teachers coded a random sample of deviations (n=70) and applications of the strategy (n=70). Results show that that the system diagnosis aligned with the teacher coding in all of the 140 student steps.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13652
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Combining model tracing and constraint-based modeling for multistep strategy diagnoses
van der Hoek, Gerben
Jeuring, Johan
Bos, Rogier
Artificial Intelligence
Model tracing and constraint-based modeling are two approaches to diagnose student input in stepwise tasks. Model tracing supports identifying consecutive problem-solving steps taken by a student, whereas constraint-based modeling supports student input diagnosis even when several steps are combined into one step. We propose an approach that merges both paradigms. By defining constraints as properties that a student input has in common with a step of a strategy, it is possible to provide a diagnosis when a student deviates from a strategy even when the student combines several steps. In this study we explore the design of a system for multistep strategy diagnoses, and evaluate these diagnoses. As a proof of concept, we generate diagnoses for an existing dataset containing steps students take when solving quadratic equations (n=2136). To compare with human diagnoses, two teachers coded a random sample of deviations (n=70) and applications of the strategy (n=70). Results show that that the system diagnosis aligned with the teacher coding in all of the 140 student steps.
title Combining model tracing and constraint-based modeling for multistep strategy diagnoses
topic Artificial Intelligence
url https://arxiv.org/abs/2507.13652