I want to allow my students to discover and create their own problems, while at the same time addressing the foundational skills necessary to solve them. Soon we will work on something I have titles Problems to Solve - single problems that will keep a class busy for an entire Math period (I will explain more in an upcoming post.).
At any rate, my hope is to spend some time, at the end of sessions like this, having students explain their reasoning to the rest of the class and sharing their solutions with their peers acting in a critical role. This will help us approach the eight Math Practices more effectively (also addressed in an upcoming post).
I really look forward to digging deeper with this approach and facilitating the improvement posture of my students. Here's to going places in 2106!