Comment by eszed

Yes, to all of this.

The pedagogical term for the concept in your final paragraph is "scaffolding", and it's critical. Teachers have to know how to break their subject down into digestible pieces, and then find the proper order in which to build it up again. Advanced mode: be able to break it down and build it up again in different ways, for students with different backgrounds or learning styles.

(This is why many teachers - I was among them - aren't immediately good at teaching concepts or subjects that come easily to them as they may be at teaching things they struggled a bit to learn. If you've had to break something down for yourself then you're ahead of the game when it comes to breaking it down for others.)

For a while I taught an "Improv For Teachers" workshop (I have a theatre background), which was really about listening to your class and being ready to adapt your lesson plan to where they are in their course of work, or even to their mood on the day. It was mostly elementary school teachers, and some of them really resisted that idea. I'm convinced, though, that that's an important skill: the most memorable and successful classes I've taught have happened when I've been able to take advantage of a student question or a student interest and run with it - sometimes not even knowing where it'll go - with the confidence that I'll somehow be able to pivot back to the curriculum. You have to be willing to be a bit vulnerable, and embrace a bit of fear, and risk a bit of failure to do it, hence why the Improv experience is so helpful.

Do you have teaching experience?