At Trinity, we run weekly sessions around best practices in mathematics education. Embolden Your Inner Mathematician is a course designed to deepen the practice, pedagogy, and assessment of mathematics.
We commit to curation of best practices, connections between mathematical ideas, and communication to learn and share with a broad audience. We know that providing multiple pathways to success invites diverse learners’ ideas to the conversation.
Tonight, I offered a synchronous session for teachers:
At Trinity, we balance product and process. We are process-oriented and want our students to learn the practice of mathematics as well as the procedures. If I am to tell the whole truth, we want our students to be strong practitioners of mathematics first and foremost. We expect our students and teachers to build procedural fluency from conceptual understanding.
In tonight’s session, we worked on the following mathematical practices.
Can you see how we anticipated ways that students might see and show their thinking? We connected structure to regularity in repeated reasoning by intentionally making our thinking visible and noticed what changed and what stayed the same.
Most of what was done was not new in content. However, there were some intentional teacher moves that were new to the teachers gathered this evening. We used quick images instead of showing all three figures at once. We discussed different ways of seeing the 5 in figure 1. Next, we shared the same and new structures noticed in figure 2 and again in figure 3. Only then did we look at the growing pattern.
We used the table as a strategic tool. It is easy to notice regularity in repeated reasoning when we see student thinking in addition to the figure number and the number of rubber duckies.
And, in the last few minutes, we extended this thinking to geometric subitizing and then the sum of the measures the interior angles of polygons.
Teachers are learners too…
After teaching synchronous sessions, planning and recording asynchronous lessons, offering feedback to students on submitted work, and meeting with their team to forecast plans for next week, this group of teachers found joy in gathering to learn together.