Sample FGT Problem

The task shown below is representative of the problems included in the Fostering Geometric Thinking professional development toolkit. All FGT geometry problems share certain features - they are challenging, they generally include multiple possible entry points or extensions, and they help expose (and promote) the geometric thinking of both teachers and students. This latter feature is the primary focus of the FGT approach. We intend our materials to open windows into geometric thinking, as insight into one's thinking about geometry provides a foundation upon which to build effective instructional strategies.

In the near future this page will provide samples of teacher work related to this problem...work which reveals numerous approaches to the problem. Commentary on the teachers' work, and how their thinking relates to our Geometric Habits of Mind framework, will be included as well. Visit this page again soon in order to access this work.