Modeling Transport in Streams

Abstract

We present our experience with an open-ended lab activity that we designed for students with a Calculus 1 background. With the goal of learning how scientists study transport in streams, the students collected data on how a pulse of leaves travels down a nearby stream. Students who had little to no experience with data with two independent variables (distance downstream and time) graphed the data and developed a first, partial differential equations model. We took the students through a second cycle of the modeling process to improve the model to account for leaves that got stuck to the bottom or sides of the stream. Given the appropriate, inquiry-based pedagogy, our lab maintains high levels of cognitive demand and introduces students to the modeling process.