My job was to demonstrate some incorrect recovery techniques that the new instructor might encounter from his students. The normal recovery from a T-37 spin was;
-Throttles idle
-Rudder and aileron neutral
-Stick abruptly full aft (elevator) and hold (if inverted this will result in a recovery if not help too long)
-Determine the direction of spin (use outside references or the turn and slip indicator)
-Abruptly apply full rudder opposite the direction of spin and hold (note the ground reference)
-After one complete turn using the ground reference abruptly apply full forward or down elevator
-As the aircraft approaches a vertical attitude slowly apply up elevator and power as the aircraft recovers.

Some of the demonstration spins recoveries were:
-Wrong rudder-resulted in an abrupt bounce or opposite motion when the stick is applied forward
-Relax all controls (this was the normal recovery of a small propeller driver aircraft but did nothing for a jet)
-Stick only, no rudder applied. Worked sometimes but not guaranteed
-Accelerated spin-slow movement forward with the elevator resulting in a very fast continuous rotation blurring all ground references as the aircraft accelerated towards earth.

We climbed to 20,000 feet before starting the demonstrations and usually a ride that most new instructors were glad to have over.