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Personalized AI Practice Replicates Learning Rate Regularity at Scale

Jocelyn Beauchesne
Christine Maroti
Jeshua Bratman
Jerome Pesenti
Laurence Holt
Alex Tambellini
Allison McGrath
Matthew Guo
Sarah Peterson
Main:12 Pages
3 Figures
Bibliography:2 Pages
6 Tables
Abstract

Recent research demonstrated that students exhibit consistent learning rates across diverse educational contexts. We test these findings using a dataset of 1.8 million (366k post-filtering) student interactions from the digital platform Campus AI providing further evidence to the observation of regularity in learning rate among students. Unlike prior work requiring manual cognitive modeling, Campus AI automatically generates Knowledge Components (KCs) and corresponding exercises, both of which are validated by human experts. This one-to-many mapping facilitates the application of Additive Factors Models to measure learning parameters without complex cognitive modeling.Using mixed-effects logistic regression, we confirmed the core finding of prior work: students displayed substantial variation in initial knowledge (IQR=[2.78,12.18]\text{IQR} = [2.78, 12.18] practice opportunities to reach 80% mastery) but remarkably consistent learning rates (IQR=[7.01,8.25]\text{IQR} = [7.01, 8.25] opportunities). Furthermore, students using this fully automated system achieved 80% mastery in a median of 7.22 practice opportunities, comparable to the 6.54 reported for expert-designed curricula. These results suggest that automated, science-grounded content generation can support effective personalized learning at scale. Data and code are publicly available.this https URL

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