Last month, at the T3 International Conference* #T3IC, I was one of the speakers at the “Seven for Seven” session**. In an Ignite-style setup, each of us seven speakers spoke for seven minutes on topics that we were passionate about.
I spoke on “The Power of the Action–Consequence–Reflection Cycle”, in which
- Students perform a mathematical action
- Observe a mathematical consequence
- Reflect on the result and reason about the underlying mathematical concepts
I believe that the REFLECTION piece is the most important component of the process. I talked about strategies for questioning and how to make reflection part of your classroom practice.
The video of my talk is here. In the alloted seven minutes, there wasn’t time to fully discuss classroom examples, but these activities fall into several categories:
- Graphs and Sliders (Transformation of Functions)
- Understanding Structure
- Looking for Invariants
- Dynamic Tables, Lists & Spreadsheets
- CAS Capability
Next week, I will be presenting a workshop on the same theme at the NCTM 2018 Annual Meeting in Washington DC. If you are attending #NCTMannual, join me at Session 36, Thursday April 26 in Convention Center 207A from 9:45 to 11 am for “Action–Consequence–Reflection Activities: Using Technology to Make Math Stick!”. We will explore dynamic activities using TI Graphing Calculators, GeoGebra, or Desmos that leverage the Action–Consequence–Reflection Cycle to promote conceptual understanding and enable student success. I will post some additional lesson ideas here after the conference is over.
Notes and Resources:
*All of the video highlights of the Teachers Teaching with Technology T3 International Conference are here. The other six speakers were wonderful and inspiring—check them out to see what they had to say. Next year, T3 will take place in Baltimore March 8–10, 2019, so save the date!
**Jill Gough’s summary sketchnote from the 7 for 7 session is here. Thanks, Jill!