I am a longtime teacher of high school math and Ive been watching these videos in order to review and maybe extend my knowledge. But every time I watch, I can't get it out of my head how I miss a simple blackboard with chalk. So many years now with these stupid dry erase markers!
I had an abstract algebra teacher long ago who was a student of John Durbin. Good teacher who stressed the importance of the Symmetric Group. He spent almost a week showing us that any Group is isomorphic to a subgroup of the Symmetric Group. He was fascinated by that. He used concrete instances and pulled them back to the actual subgroup of Sn. He loved what he was doing. He moved and I lost touch...