In the Spring of 2022, the transformation group will likely focus on investigating existing teaching materials on geometry from a transformation perspective. As a reminder, a transformation perspective in geometry often involves approaching symmetry, congruence, similarity, and other geometry concepts/theorems using translations, rotations, reflections, and dilations. Through the investigation of such teaching materials, the group will explore the following: 

• The group plans to focus on the affordances of different types of transformation lessons and activities.
• Such an investigation will likely further the group’s on-going discussions about appropriate definitions and axiom systems that support a careful instructor treatment of concepts and proof in a transformation context. 
• The group hopes to work towards addressing the following: Are there classic questions, classic exposures, and/or classic examples that students should have seen in a transformation context? What demonstrates the affordances of the transformation approach vs. a more “traditional” Euclidean approach? The resulting discussion may also contribute to a discussion with the Teaching GeT working group on the transformation SLO (Student Learning Objective). 
• Some members have a particular interest in looking at how to use technology in a meaningful way with transformations. 

The discussions on existing teaching material may involve continued reflection on teaching materials created by the transformation group in the Spring of 2021 (Boyce et. al., 2021). In the future, it is possible that the group may again embark on the creation of activities and lessons that support student understanding of transformations. As always, the group is open to new members and new ideas, so if you are interested, please consider joining.

References

Boyce, S., Ion, M., Lai, Y., McLeod, K., Pyzdrowski, L., Sears, R., & St. Goar, J. (2021, May 6). Best-Laid Co-Plans for a Lesson on Creating a Mathematical Definition. AMS Blogs: On Teaching and Learning Mathematics. https://blogs.ams.org/matheducation/2021/05/06/best-laid-co-plans-for-a-lesson-on-creating-a-mathematical-definition/