Having come via the ranks of Gliding, I also was taught the Rudder, Pause, Stick method. The Pause was to give the rudder time to take effect on the Yaw of the aircraft, and in most machines the spin stopped as soon as the rudder did its thing.
The trick was to avoid another stall/potential spin scenario following the pull up to avoid the lumpy bits.
A quick 'Google' on 'Spin Recovery' brings forth a multitude of pages, the majority (Including one from a NASA programme) also plumps for Rudder followed by Elevator.