MINOR DAMAGE RESULTS WHEN SIMULATED LOW ALT ENG FAILURE OF C182RG RESULTS IN HARD LNDG.

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I WAS GIVING THE PIC A STANDARDIZATION RIDE. I REQUESTED THE PIC TO PERFORM A SHORT FIELD TKOF. AT APPROX 100 FT AGL; I PULLED THE PWR BACK AND ANNOUNCED; 'SIMULATED ENG FAILURE.' PIC PULLED THE NOSE UP (WHICH I SOMEWHAT EXPECTED; AS I DO THIS MANEUVER IN EVERY CHK RIDE I GIVE AND ALL PLTS TEND TO DO THIS). WHAT I WAS ONLY PERIPHERALLY AWARE OF IS THAT THE PIC HAD RETRACTED THE LNDG GEAR; WHICH I REALIZED WHEN I HEARD THE LNDG GEAR WARNING HORN. I IMMEDIATELY LOWERED THE GEAR. HOWEVER; DURING THIS TIME THE ACFT DEVELOPED A HIGH SINK RATE. I TOLD THE PLT TO LOWER THE NOSE AND ADD PWR; WHICH THE PIC DID; BUT IT WAS 'TOO LITTLE; TOO LATE.' WE BOUNCED ONCE ON THE RWY; THEN BOUNCED ON ONE MAIN; THEN THE OTHER; WHILE DRIFTING TOWARD THE L SIDE OF THE RWY. DURING ONE OF THE BOUNCES; THE ACFT STRUCK A RWY LIGHT (IMPACT ON THE L HORIZ STABILIZER CAUSING 2 SMALL GASHES IN THE SKIN). I TOOK CTL OF THE ACFT AND TAXIED OFF THE RWY AND TO THE RAMP WITHOUT FURTHER INCIDENT. IN RETROSPECT; I SHOULD HAVE DONE SEVERAL THINGS DIFFERENTLY: 1) WHEN I REALIZED THE GEAR WAS UP; I SHOULD HAVE ABORTED THE MANEUVER. I THINK I WAS FOCUSING ON THE FACT THAT THE PIC HAD MOVED HIS HAND FROM THE THROTTLE; ALLOWING ME TO PULL THE PWR. 2) I CERTAINLY SHOULD HAVE ANNOUNCED 'MY PLANE' AND TAKEN THE CTLS MUCH SOONER. I TREAT THIS AS A 'LEARNING' MANEUVER FOR MY STUDENTS -- NOT A 'TESTING' ONE. MY INTENT IS FOR THE PLT TO LEARN TO ADJUST THE PITCH TO CTL THE AIRSPD; NOT AUTOMATICALLY PULL BACK ON THE YOKE. ONCE THE PIC HAD MADE HIS MISTAKE OF DOING THAT; MY POINT WOULD HAVE BEEN MADE EVEN IF I HAD TAKEN CTL AT THAT TIME. I SUPPOSE I WAS WALKING THE FINE LINE (THAT INSTRUCTORS DO) BTWN GIVING THE OTHER PLT ENOUGH 'ROPE' TO CORRECT MISTAKES ON THEIR OWN VERSUS ALLOWING A DANGEROUS SITUATION TO DEVELOP. A CONTRIBUTING FACTOR WAS THE FACT THAT DURING MY CHK PLT CHK RIDE LAST MONTH; THE 'CHK-CHK-PLT' OBSERVED I WAS TAKING CTL (FROM THOSE BEING CHKED) TOO SOON UPON MISTAKES. PERHAPS THAT CAUSED ME TO WAIT A LITTLE LONGER TO TAKE CTL.