I second many of the comments already made. Working together on problems is like taking something linear and opening it into 3 dimensions. It surprises me how many ramifications this has - for instance, it removes the individualistic competitive instinct that is so deeply ingrained from old-style learning (not just in math).

I love ways that any lesson can involve kinetic experience- using our "name numbers" to have us move around the room and divide into even/odd/prime/composite #s was a breath of fresh air. Furthermore, within each group we helped each other remember what a prime # is. Hurray - brilliant!

I also appreciated Santosh's story about math as a reliable, predictable subject for a child struggling with English as a second language. It's so important that we be aware of individuals' needs for a comfort zone; stretch it without snapping it.

The math competency test we were given - wow! That was scary! I did well in math, yet I felt the stress kick in immediately. Fear of failure, especially if those around me don't fail! (There's a great way to raise people who don't know how to be part of a team!) Collaboration is great. At the same time I have a strong instinct to have students learn, for example, times tables - it's just so deep in me that one "has" to know that. I'm asking myself a lot of questions about my assumptions, and am curious about what changes in learning & thinking are happening with this generation that is growing up online.