Mathematical Thinking Series

When we think mathematically, we often go back and forth between ideas. We try different pathways. We connect our intuition to mathematical objects we know are "right". We seek for anchors but sometimes are adrift to dead ends. We lose sight of our own thinking and try again, now moving slower across pathways. When things work out, the end result is often simpler thinking than the one we started with. When things don't, that's just fine. We learned something along the way.