ACFT DAMAGE WHILE LNDG ON SNOW.

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THIS EVENT IS NEITHER AN ACCIDENT NOR INCIDENT REF 49CFR830. AN ACT OF POOR JUDGEMENT ENDED UP AN EMBARRASSMENT AND A DINGED PROP. THE WK BEFORE; I HAD LANDED A C207 ON A SNOWY FROZEN LAKE PICKED OUT BY MY CHIEF PLT. THIS TIME; IN A C150 INSTRUCTING A STUDENT ON SOFT FIELD TECHNIQUES; WE PICKED AN UNCTLED FIELD I'D FLOWN INTO FOR YRS. SEEING IT WASN'T PLOWED AND THERE WERE NO OTHER TRACKS DIDN'T PHASE ME USING THE FAULTY REASONING AFTER THE PREVIOUS WK'S FLT. 'BE SURE AND HOLD THE NOSE UP HERE SINCE IT'LL BE VERY SOFT;' I TAUGHT AS WE FLARED FOR LNDG; TOUCHING DOWN AT MINIMAL SPD. THE YOKE WAS SUCKED BACK ALL THE WAY AS WE SCREECHED TO A HALT LIKE WE'D JUST GRABBED AN ARRESTING CABLE. THE SNOW ENDED UP BEING 8 INCHES DEEP NOT ALLOWING US TO TKOF UNTIL WE HAD IT PLOWED. TURNING OFF THE SIDE OF THE RWY AFTER 1 OF THE UNSUCCESSFUL TKOF ATTEMPTS; I STRUCK A LIGHT I WAS OBVIOUSLY TOO CLOSE TO WITH THE PROP. THE ACFT WAS FLYABLE; BUT I WAS TOLD THAT THE PROP HAD TO BE REPLACED. AFTERWARDS; PEOPLE WERE AMAZED THAT I DIDN'T END UP ON MY BACK AND TOLD ME THAT'S WHY ACFT HAVE SKIS. SINCE THEN I'VE READ RPTS OF OTHERS WHO WEREN'T AS LUCKY. I LEARNED A LESSON AND AM WRITING THIS RPT TO TEACH OTHERS; TOO.