We had so many new players that I had to break them into two groups, with vets splitting up and running each group. As I floated between the two groups, I discovered that my vets were doing what I myself was trying to diminish in me - overcoaching.
Once a scene was over, the vets launched into critiquing the scene. They did it very well - gave positive feedback first, and then suggestions about what could've been improved upon. They picked up on basic improv tenets that needed work within the scene and brought those to light. But I realized it was always them doing the talking - occasionally they'd get other troupe members input to specific questions, but it was still very...managed.
It got me thinking about how best to include the whole troupe when coaching one scene.
Open it up to the group first.
Let the general populace share their observations first. Most likely, they'll have picked up on the same issues that the coaches will have, and they are the ones who need practice articulating them. They may also have a different take on it that can be instructive.
Make sure the scene players give their own feedback.
They were in there doing it - no doubt they have their own opinions about how well (or not) a scene went. Having them focus on their own performance can make them view themselves with a more critical eye; having them comment on each other's performance in a positive sense can help them build trust and rapport.
Have coaches focus the discussion.
Whether by design or happy accident, a scene can usually serve to instruct a small subset of improv skills or rules. Have the coaches focus on those - ask directed questions to the group or the performers, point out examples of those skills/rules from the scene, etc.
As I've said before, don't say it. Do it - or, perhaps, have the performers do it again to illustrate the point. Get in there and do it with them. At the very least, say what you need to say in the least number of words so you can move on to someone else's thoughts - or even to doing some more improv.
Those four ideas cover most of the problems I and my veteran performers have. Coaches, anything to add? Share it in the comments below.