C172RG STUDENT RETRACTED THE ACFT LNDG GEAR BEFORE BECOMING AIRBORNE.

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MY STUDENT AND I WERE ON AN EARLY MORNING TRAINING FLT IN A C172RG BASED AT DEER VALLEY ARPT. MY STUDENT IS WORKING TOWARDS HIS CFI CERTIFICATE ALMOST READY FOR HIS CHK RIDE; OR SO I THOUGHT. AFTER AN HR OR SO OF MANEUVERS; WE CAME BACK TO THE ARPT TO PRACTICE HIS LNDGS. HE EXECUTED A FEW SHORT AND SOFT FIELD LNDGS SUCCESSFULLY BEFORE THE INCIDENT OCCURRED. ON OUR THIRD TOUCH-AND-GO; MY STUDENT QUICKLY PULLED THE GEAR HANDLE TO THE UP POS MISTAKING THE HANDLE FOR THE FLAP HANDLE BEFORE I COULD INTERVENE. THE NOSEWHEEL RETRACTED INTO THE GEAR WELL AND THE NOSE STRUCK THE GND RESULTING IN ABOUT A 400 FT SLIDE. THE PROB AROSE POSSIBLY DUE TO THE STUDENT IN A NEW SEAT NOT COMPLETELY USED TO FLYING FROM THE R SIDE. THIS MAY HAVE BEEN PREVENTED IF I COULD HAVE QUICKLY STOPPED HIS ACTION DURING THE TOUCH-AND-GO; OR ANOTHER THING THAT WOULD HAVE HELPED IF THE STUDENT SPENT MORE TIME IN THE COCKPIT 'DRY FLYING' GETTING MORE COMFORTABLE WITH THE COCKPIT LAYOUT. SUPPLEMENTAL INFO FROM ACN 561651: LNDG GEAR SWITCH WAS LIFTED PRIOR TO ROTATION. NOSE GEAR COLLAPSED!