In the fall of 2021, the transformation group will continue its ongoing goal of collecting and creating activities and sequences of activities that contribute towards student understanding of the topic of transformations. As part of this effort, in the spring of 2021, the group created a lesson (Boyce et. al., 2021) relating to transformations and mathematical definitions. Two group members co-taught the lesson in an online class for in-service teachers, while other group members attended, and members have taught and, moving forward, will likely continue to teach the lesson in their respective courses to contribute to the discussion about and development of the lesson. This fall, the group is exploring and discussing existing transformation activities. Additionally, the group may develop and teach new activities on transformations, especially those that simultaneously contribute to student understanding of other SLOs. 

The working group has an ongoing interest in axiomatic systems based on transformations that can lead to the deduction of the major congruence and similarity results. The group has explored and discussed various existing axiomatic systems, considering their affordances and possible drawbacks when teaching GeT courses and high school students. These discussions go hand-in-hand with considering and creating transformation teaching materials.

The working group meets every other week. If you are interested in joining us or have any questions about our work, please feel free to contact me at st*****@*******ck.edu.

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/