A major goal of physics education is to develop strong problem-solving skills for students. To become expert problem solvers, students must have opportunities to deliberately practice those skills. In this work, we adopt a previously described definition of problem solving that consists of a set of 29 decisions made by expert scientists. We…

Coming from the commognitive standpoint, we consider proof-based mathematics as a distinct discourse, the transition to which requires special rules for endorsement and rejection of mathematical statements. In this study, we investigate newcomers' learning of these rules when being taught them explicitly. Our data come from academically motivated…

We believe that developing cultural competencies can help students learn mathematics and conversely that learning mathematical content can help students learn about themselves and others. Using frameworks introduced by Rendón (2009) and Gutiérrez (2018), we present a five-part bundle of activities for undergraduate differential equations course…