PME-NA

A Design Experiment to Create a Learning Trajectory for the 3-Compartment Disease Transmission Model

• In Event: Learning Modeling

Description

In this report, we share a learning trajectory designed to support DE students’ construction of a three-compartment disease transmission model. Our design experiment was informed by constructivist learning theories, quantitative reasoning, and general systems theory. The resulting trajectory consists of a combination of diagnostic, concept construction, model construction, and support tasks, with varying cognitive goals, aimed at supporting students to construct and transport quantitative structures from task to task. Consequently, this task sequence supports students’ learning of modeling not only by supporting their understanding of mathematical content, but by also targeting students’ ways of reasoning so that they can anticipate what relationships certain mathematical structures are capable of modeling.

Authors

• Jennifer A Czocher, Texas State University

• Elizabeth Roan, Indiana University

• Sindura Kularajan, Utah State University