Algorithmic education theory examines, among other things, the trade-off between reviewing old material and studying new material: time spent learning the new comes at the expense of reviewing and solidifying one’s understanding of the old. This trade-off is captured in the “Slow Flashcard System” (SFS) - a system that has been studied not only for its applications in educational software but also for its critical properties; it is a simple discrete deterministic system capable of remarkable complexity, with standing conjectures regarding its longterm behavior. Here, we introduce a probabilistic model of SFS and further derive a continuous time, continuous space partial differential equation model. These two models of SFS shed light on the longterm behavior of SFS and open new avenues of research.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics