Commutative, associative, distributive: the rules that make numbers dance — the same ones, it turns out, that run all of algebra.
Today we briefly talked about something I’m not going to name for the students just yet, because we are still playing! We’re on a cliffhanger until Monday. We left this unresolved for now… What I can tell you is that…
When a student is used to scrutinizing the values she is working with, the connections emerge. Often the kids are so excited to share the connections they’ve made that they annotate their math homework or burst into an excited monologue…