GND WITNESS & THE STUDENT PLT RPTD UPON TOUCHDOWN THE ACFT BEGAN TO BOUNCE. AFTER SEVERAL BOUNCES THE PLT BEGAN TO GO-AROUND UPON REACHING MIDFIELD. AFTER LIFT OFF THE ACFT BEGAN TO SINK AND COLLIDED WITH THE ARPT BOUNDARY FENCE. WHEN EXECUTING THE GO-AROUND THE PLT APPLIED FULL THROTTLE WITHOUT CLOSING THE CARB HEAT & IMMEDIATELY RAISED THE FLAPS. FULL THROTTLE WITH CARB HEAT ON WOULD SIGNIFICANTLY REDUCE THE ENGINE POWER & RAISING THE FLAPS WOULD CAUSE THE ACFT TO DVLP A HIGH SINK RATE UNDER THESE CONDITIONS. THE PLT RPTD SHE HAD EXPERIENCED BOUNCED LNDGS & HAD PERFORMED GO-AROUNDS DURING HER TRAINING, BUT THAT DURING THOSE TIMES SHE WAS DIRECTED BY THE INSTRUCTOR IN THE RECOVERY PROCESS AND SHE HAD NEVER RECEIVED FORMAL INSTRUCTION IN THE RECOVERY PROCESS. THE PLT'S FLIGHT RECORD DISCLOSED NO EVIDENCE THAT THE PLT RECEIVED ANY INSTRUCTION IN THESE AREAS. THE PLT'S LOGBOOK DISCLOSED 3 ENTRIES WHERE THE PLT RECEIVED TRAINING IN GO-AROUND MANEUVERS.