During our introductory architectural design unit, I introduce students to the relationships among mathematics, art, history, and technology. We model replicas of Le Corbusier's buildings to study how architects can use mathematics and other strategies to help them make design decisions. We look at the technologies used to fabricate his buildings in terms of historically significant works of architecture, and we discuss where he made critical errors so that the students can learn from his mistakes.
As a capstone project, these students used Revit to model one of Corbusier’s villas. The catch was that they were given a set of drawings without dimensions. They had to rely on their knowledge of how he used mathematics to appropriately analyze and recreate the buildings. As an extension, some students redesigned aspects of their assigned project.