[GreyingJay]

^ This.

I've been in many meetings -- FRC teams, summer camp committees, work -- that look like this:

Leader A: Let's brainstorm. All ideas are welcome!
Students: *give out multiple ideas*
Leader B: No, those won't work. I really think we should do X.
Students: *variety of pros and cons of multiple ideas*
Leader B: No, no, trust me, we should do X.
Students: *maybe a variation of X, but include Y?*
Leader B: No, it's really got to be X, guys.
Students: I thought you said all ideas were welcome?

Leader B might be brilliant -- she might even be absolutely right -- but this is not the way to foster inspiration and innovation amongst students.