Hell, you want to really manage risk? Keep the plane tied down in its parking spot.
Or are touch and go's in the RG prohibited by dual crews too?
Ha, I even came up here during the 3rd quarter to change my reply because on second thought I think I took it down specifics on a broad topic.
Not fast enough.

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True, it is all about risk management. Prohibiting T&G is a quick way to mitigate risk the flight schools (and students) have in complex training.
It's nothing personal to our students ability and we think waiting until the airplane is off the runway is great decision making in reducing gear ups.
I agree that it would be best if we could teach the pilot to stop retracting gear up. I still don't know how to do it though with out putting them in a position where when I'm not there to stop them, the squat switch is.
When they get all grown up and fly their own planes then they can do whatever flow they like...unfortantely just like a lot of what flight school really is ;"you find out how to do that later".
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The whole group of people, from chief down to the wet endorsement can't do T&G.
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You know come to think of it even six months ago when I had a ride with a Fed, I put the Carb heat in on a C-182rg while still on the runway, and from the whole ride, that is what he talked to the chief about.
I don't know what the Feds will say further on in my career, but for right now it really is looked down on.
Flight schools have a long way to go in the training that is provided.
To quote Enterprise..."Not exactly".
It's just as easy to forget to put the gear down as it is to grab the wrong lever on the "go".
I come from the "hertz" school.
I would have to look it up but that is not what a study found. I think it was the Navy that did a study and the end result was that the best position of the gear handle was in the most inconvenient and out of sight position from the pilot.
Why?
Because putting the gear down is easy to remember with many warnings, brining them up is often a matter of moving too fast without thinking and by the time you flip it up, it is too late.
I doubt i will ever find that study again.
It's probably the fourth quarter by now.... gotta run