RE: Recovery from Inverted Flat Spin
A lesson on how a plane flies looks to be in order. A plane must first be stalled before entering a spin. Stalled means the wings have quit generating lift, generally due to an excessive angle of attack, or are lifting unequally in this case to the extent needed to initiate a spin. By about the third revolution of a spin the plane is in a "deep stall". A flat spin occurs when the c/g is aft, or it is aided by power and control input.
The proper exit of any spin, flat or steep nose down, is to neutralize any aileron input, push the nose down, and apply opposite rudder to counteract the rotation. In an inverted flat spin (the worst spin scenario) holding power, or adding more power, has been the cause of many planes spinning all the way to the ground. The nose has to be pushed over to gain airspeed for the wings to begin generating lift again. There will usually be an additional altitude loss with spin recovery. Simply neutralizing the controls delays the spin recovery and generally causes excessive amounts of lost alttitude and a continued spin rotation beyond that desired.
Fortunately our power to weight ratios gives us a lot more latitude in our spin recoveries, permitting the use of power to move the tail into a more useful position. Learning the correct recovery techniques will be quite helpful when you fly a plane that does not have as generous a power to weight ratio, or if you decide to fly competition. As in any other maneuver, planning the exit before you initiate the entry is quite helpful. The use of the correct control input will let you pick the place you want to stop and exit a spin.