ACFT DAMAGED DURING RWY EXCURSION. PROP STRIKE. LOSS OF ACFT CTL.

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ON THURSDAY; APR/THU/94; I WAS TO GIVE A LESSON TO A PERSPECTIVE PVT PLT IN HER OWN AIRPLANE; A PA28-180. THIS STUDENT DECIDED TO DO SOME SOLO PRACTICE (WHICH I HAD SIGNED HER OFF FOR) BEFORE THE LESSON WITH ME. I SAW HER ON FINAL WHEN I WAS WITH ANOTHER STUDENT ENTERING THE PATTERN AT THE SAME ARPT. APPARENTLY; THE SOLO STUDENT IN HER CHEROKEE HAD LANDED WITHOUT INCIDENT; BUT ON HER ROLLOUT WENT OFF THE PAVEMENT A BIT. I DIDN'T KNOW THIS; BUT ANOTHER CFI READY FOR DEP HAD GIVEN ME THIS INFO LATER THAT DAY. THE STUDENT ARRIVED AT THE FBO WITH HER AIRPLANE SHORTLY AFTER THAT; READY TO TAKE HER LESSON WITH ME AFTER HER SOLO PRACTICE. THE LESSON WENT WITHOUT INCIDENT; WE PRACTICED LNDGS AT BRIGHTON; ANOTHER NEARBY UNCTLED ARPT. WE WERE PARTICULARLY CAREFUL WHEN TAXIING ON THE GRASS TXWYS; AND AVOIDING ANY PEBBLES ETC; THAT MAY HAVE BEEN PICKED UP BY THE PROP. UPON RETURNING TO Y47 (NEW HUDSON); SHE TAXIED US UP TO THE FUEL PUMPS AND SHUT DOWN THE AIRPLANE. AS WE DEPARTED THE ACFT; THE FUELER QUESTIONED US; 'WHAT HAPPENED?' WE DIDN'T KNOW WHAT HE MEANT BY THAT UNTIL HE POINTED OUT TO THE PROP; WHOSE LAST INCH OFF EACH END WAS CURLED UNDER. OF COURSE MY STUDENT AND I WERE CURIOUS AS TO HOW IT HAPPENED. WE HADN'T HEARD THE SOUND OF A PROP STRIKE (I HAD HAVE THE MISFORTUNE OF HEARING THAT SOUND BEFORE). THE A AND P AT THE FBO SAID THAT BY THE WAY THE PROP TIPS WERE CURLED; IT APPEARED TO HAPPEN AT A PHASE OF FLT WHEN THE PWR WAS OFF. THE INCIDENT PROBABLY OCCURRED ON LNDG; THEY SAID. AFTER A FEW DAYS OF INVESTIGATION; THE DETERMINATION WAS THAT MY STUDENT; ON HER SOLO HAD DAMAGED THE PROP ON THE ROLLOUT I DESCRIBED EARLIER. AS A CFI; I OFTEN TAKE THE STUDENT'S WORD; THAT YES; THE AIRPLANE HAD A PROPER PREFLT. I USUALLY DON'T DO THE PREFLT OVER AGAIN; BUT OCCASIONALLY I'LL DOUBLE CHK FUEL OR OIL QUANTITIES. I WILL PROBABLY LOOK A BIT MORE CAREFULLY AT THE GENERAL CONDITION OF AN AIRPLANE BEFORE I FLY IT; EVEN IF A STUDENT CLAIMS TO HAVE ALREADY DONE A COMPLETE PREFLT.