Six modules are presented that are designed for use in an undergraduate physical volcanology course. Each module uses a four-step mathematical problem-solving approach following Polya's How to Solve It, to guide students to: (i) understand the problem, (ii) devise a plan for solving the problem, (iii) implement the plan, and (iv) reflect on their solution. The modules cover topics in estimation of volumes of debris flow and tephra fallout deposits, lava effusion rate, calculation of melt density and viscosity, and development of dynamic models of bubble ascent in magma. Core quantitative issues, such as linear regression and error propagation, are introduced using these modules. The modules are included as supplementary material in PowerPoint and Portable Document Format (PDF). Cumulatively, the modules are designed to help volcanology students construct their own schemas, through which they can master abstract concepts in volcanology and in the geosciences generally. Physical volcanology can play a central role in the Earth Sciences curriculum by promoting quantitative problem solving using modules such as these.