A MOONEY 20J CFI AND STUDENT PLT EXPERIENCE A HARD LNDG WHICH INDUCED A PITCH UP AND AN APCH TO A STALL. THE INSTRUCTOR PLT WAS UNABLE TO RECOVER IN TIME AND FORCED THE ACFT ONTO THE RWY; COLLAPSING THE R GEAR; AT ZZZ; US.

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I WAS ON A SECOND LESSON COMPLEX ACFT CHKOUT WITH ONE OF OUR SCHOOL'S PVT PLT/RENTERS. THIS WAS ABOUT THE 8TH LNDG WITH THIS STUDENT AND THE 4TH AT OUR AIRSTRIP. ON FINAL; THE STUDENT KEPT THE AIRPLANE SLIGHTLY NOSE HIGH AND APPROX 5 MPH SLOW. I REPEATEDLY STATED TO LOWER THE NOSE TO GAIN AIRSPD AND SEE THE NUMBERS. THE STUDENT THEN BEGAN THE ROUND OUT AND FLARE ABOUT 20-30 FT OFF THE DECK. I STATED TO NOT FLARE YET AND WHEN I WENT TO GET ON THE CTLS; WE HAD ALREADY HIT HARD AND BOUNCED PRETTY HIGH. I CALLED FOR A GAR BECAUSE I KNOW HIGH BOUNCES IN A MOONEY CAN CAUSE SEVERE PORPOISING. I TALKED HIM THROUGH THE GAR; BUT WHEN HE ADDED FULL PWR; HE PITCHED UP INSTEAD OF PITCHING DOWN AND THE ACFT WENT INTO A PWR-ON STALL. UNTIL THIS TIME; I FELT THIS PVT PLT COULD SUCCESSFULLY EXECUTE A GAR AS WE HAD PRACTICED IN THE PATTERN. ONCE I TOOK THE CTLS; I PUSHED THE NOSE FAR OVER; BUT COULD NOT KEEP THE NOSE DOWN. IT KEPT COMING BACK UP EVERY TIME I WOULD REMOVE ONE HAND TO ATTEMPT TO ADJUST THE TRIM AND FLAPS. I COULD NOT EVEN GET MY HAND IN THE SMALL SPACE BTWN THE SEATS TO REACH THE TRIM WHEEL. AFTER 3 ATTEMPTS TO KEEP THE NOSE DOWN; I ABORTED; PULLED THE THROTTLE; APPLIED BOTH HANDS FULL FORWARD PRESSURE TO FORCE THE PLANE DOWN. THE R GEAR COLLAPSED AND THE AIRPLANE SLID ABOUT 20-30 FT. I PULLED THE MIXTURE AND THE PVT PLT TURNED OFF THE MAGNETOS AND MASTER AND WE IMMEDIATELY EVACED THE ACFT. I KNOW THE SIT COULD HAVE BEEN MUCH WORSE AS THE PLANE WAS CRITICALLY CLOSE TO CART WHEELING OR ENTERING A SPIN. I ALSO KNOW THERE WERE MANY TIMES I COULD HAVE LESSENED THE ENTIRE SIT. I COULD HAVE EXECUTED THE GAR MYSELF AS I HAVE DONE THEM FROM THAT FLT SIT PREVIOUSLY OR I COULD HAVE TRIED TO SALVAGE THE LNDG AFTER WE BOUNCED. I ALSO COULD HAVE TAKEN THE CTLS MUCH SOONER BEFORE HE FLARED TO HAVE COMPLETELY PREVENTED A HARD LNDG AND BOUNCE OR HAVE DONE A GAR MUCH EARLIER IN THE APCH. THERE ARE MANY 'SHOULD HAVE'S' I THOUGHT ABOUT IN THE LAST 24 HRS. WHAT IS IMPORTANT IS THAT I HAVE LEARNED TO UNASSUMINGLY THINK OF EVERYONE I FLY WITH AS A PRIMARY STUDENT; AND TO BE MORE CAUTIOUS IN TAKING THE CTLS FROM A STUDENT SOONER.