Exploring the Feasibility of Employing a Hybrid Machine Learning Method to Unpack Student Reasoning Patterns in Physics Essays

Abstract: We propose a novel clustering pipeline that combines two classic clustering algorithms to better understand student problem-solving strategies. This unsupervised machine learning method helps uncover patterns in reasoning without pre-defined labels. We applied it to essays written for an online multiple-choice quiz, the resulting clusters showed strong statistical alignment with students' selected answers. We also report on the resulting clusters of the hybrid pipeline compared to that of K-Means (MacQueen, 1967) and Hierarchal Density-Based Spatial Clustering of Application with Noise (HDBSCAN) (McInnes, Healy, and Astels, 2017) by analyzing the Scatter Plots, Silhouette Scores (Rousseeuw, 1987), and Davies Bouldin Index (Davies and Bouldin, 1979).