Park City Mathematics Institute
Secondary School Teacher Program

Hands-on Hyperbolic - Peg Cagle

Hyperbolic geometry is typically taught as an advanced geometry topic at the university level, using the upper half plane model or the Poincare disk. Neither of these models provide students with a visceral understanding of the hyperbolic plane.

Having a better understanding of the hyperbolic plane, allows students to compare and contrast space with positive curvature, zero curvature and negative curvature. By providing a model that students can touch, measure and manipulate, even high school geometry students can begin to develop an understanding of the hyperbolic plane. This presentation is a glimpse at the work I am involved with developing a series of hands-on constructions and investigations on the hyperbolic plane.

Back to: Class Notes