This study investigates the identification and persistence of misconceptions among engineering students in foundational STEM courses, focusing on physics concepts assessed through the Force Concept Inventory (FCI). Misconceptions, defined as systematic and deeply rooted alternative understandings, hinder students’ ability to master complex topics and apply knowledge effectively. Traditional models such as Item Response Theory and Cognitive Diagnostic Models are limited in their ability to track misconceptions over time, failing to capture how these erroneous beliefs evolve or persist across assessments. To address this gap, we employ a Transition Diagnostic Classification Model (TDCM) that incorporates a Q-matrix to map misconceptions to test items and monitor their transitions as distinct cognitive attributes over successive evaluations. Using data from 1,529 engineering students who completed pre- and post-tests in the Force Concept Inventory, the TDCM reveals the persistence and evolution of misconceptions in areas such as Force and Motion and Vector Addition. Misconceptions in Force and Motion, often aligned with intuitive but incorrect reasoning, exhibit strong persistence, while misconceptions in Vector Addition are more frequently acquired but less stable. These findings align with Conceptual Change Theories, which emphasize the coherence and resistance of misconceptions as cognitive structures embedded in students’ mental models. By analyzing transition probabilities and reliability metrics, the TDCM offers actionable insights for educators, facilitating targeted interventions. This study demonstrates the TDCM’s effectiveness in enhancing conceptual understanding, supporting data-driven strategies to address persistent misconceptions, and improving outcomes in engineering education.
The full paper will be available to logged in and registered conference attendees once the conference starts on June 22, 2025, and to all visitors after the conference ends on June 25, 2025