The Geometry Modules provide opportunities for those using the materials to develop deep knowledge of different geometries while also understanding how to leverage that knowledge while helping others learn. The materials are designed to support users as they engage in mathematical practices that are proven to help develop deep understandings of advanced content in three modules: axiomatic systems, transformational geometry, and similarity and measurement. Instructional activities encourage both a) conjecturing and problem solving as it relates to advanced geometries and geometric concepts and b) using connections to K-12 mathematics (including the thinking of K-12 learners) as a space of exploration and learning.

Explore a Lesson from
Our Geometry Materials

My students found the materials engaging. I found that the materials were very useful in their developing of understanding of alternative geometries like non-euclidean, spherical, hyperbolic, taxicab, incidence, and transformative geometry.

module(s2) Instructor

I have more in my “tool belt” for teaching these concepts than I did before. I feel that I can explain geometry from different angles as well as being ready to work with a student who may see things from different perspectives.

Pre-service teacher
Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.