Touchdown was 25 kts. too fast (220 kts vs. 195 kts EAS). CDR started nose down prematurely, then realizing error, immediately applied aft stick to stop nose down pitch. CDR needed excessive aft stick to stop nose, then was surprised by pitch rate reversal (pitch gain glitch). Second pitch reversal resulted in higher than desired nose gear slap down. Close call: nothing broken, nobody injured, but STS-3 came close to being two flights.