With only about a third of students in US public schools achieving the NAEP Proficient level, many educators believe students are not getting enough reading practice. However, how much reading practice is enough? This study quantifies the relationship between the amount of book reading and the expected number of words learned. We collected 45…

The DeGroot model has emerged as a credible alternative to the standard Bayesian model for studying learning on networks, offering a natural way to model naive learning in a complex setting. One unattractive aspect of this model is the assumption that the process starts with every node in the network having a signal. We study a natural extension…