INSTRUCTOR PLT GIVING INSTRUCTION TO STUDENT -- AFTER BOUNCED LNDG INSTRUCTOR TOOK CTL OF ACFT AND EXECUTED GAR. TWR FAULTED RPTR FOR DOING TOUCH AND GO; BUT RPTR WAS SALVAGING A BOUNCED LNDG.

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ON FEB/SAT/96; I WAS COMPLETING A DUAL XCOUNTRY WITH A STUDENT PLT. THE RTE THAT WE WERE GOING TO FLY THAT EVENING WAS FROM N92 TO LNS TO CXY TO N92. THE FLT WAS COMPLETED IN VMC WITH CEILINGS GREATER THAN 5000 FT AND VISIBILITY GREATER THAN 10 MI. DURING THE FLT; ONE OF MY OBJECTIVES WAS TO EVALUATE THE ABILITY OF MY STUDENT TO COMPLETE A XCOUNTRY FLT INTO UNFAMILIAR AREAS WITH LNDGS AT UNFAMILIAR CLASS D ARPTS. THE COMPLETION OF THIS OBJECTIVE WAS IMPORTANT BECAUSE THE NEXT LESSON ON THE SYLLABUS WAS TO BE THE FIRST SOLO XCOUNTRY. WHILE APCHING CXY AT THE END OF OUR SECOND LEG; HARRISBURG APCH INSTRUCTED US TO FLY A HDG OF 270 DEGS AND MAINTAIN 3000 FT TO STAY CLR OF HARRISBURG INTL. AFTER WE CROSSED THE SUSQUEHANNA RIVER; ATC INSTRUCTED US TO DSND TO 1500 FT AND ENTER EITHER R OR L DOWNWIND ON RWY 12. I CHOSE A R DOWNWIND ON RWY 12 SINCE WE WERE ON THE SW SIDE OF THE ARPT. WHEN MY STUDENT COULDN'T LOCATE THE ARPT I GAVE HIM VECTORS TO A R DOWNWIND FOR RWY 12; AND CHANGED RADIO FREQS TO CXY TWR. UPON CONTACTING CXY TWR I MADE A POS RPT STATING THAT WE WERE ABOUT 4 MI TO THE S AND ENTERING A R DOWNWIND FOR RWY 12. AS WE GOT CLOSER TO THE FIELD I POINTED OUT RWY 12 TO MY STUDENT AND INSTRUCTED HIM TO TURN L 30 DEGS TO CREATE SOME SPACE BTWN THE AIRPLANE AND THE RWY. CXY TWR TOLD US TO TURN L AND ENTER R TFC FOR RWY 08 AND CLRED US TO LAND. I GAVE MY STUDENT VECTORS UNTIL HE SAW RWY 08. ON THE APCH END OF RWY 08 THERE ARE LIGHTED OBSTRUCTIONS ON TOP OF A HILL. I POINTED OUT THE OBSTRUCTIONS TO MY STUDENT WHO WAS TRYING TO PREPARE FOR THE APCH TO LNDG ON RWY 08. AFTER SPOTTING THE TERRAIN; MY STUDENT STARTED TO TURN TOWARD THE BASE LEG. WHEN WE GOT TO FINAL WE WERE HIGH AND FAST; SO I INSTRUCTED MY STUDENT TO GAR. CXY TWR INSTRUCTED US TO MAKE L TFC ON RWY 08. DURING THE TURN FROM XWIND TO DOWNWIND MY STUDENT LOST SIGHT OF RWY 08. I THEN VECTORED ON TO A DOWNWIND FOR RWY 08. ON THE FINAL APCH WE WERE HIGH AND FAST. WE OVERSHOT THE TOUCHDOWN ZONE AND BOUNCED AT MIDFIELD. AT THAT POINT I INITIATED A GAR AND INFORMED CXY TWR. CXY TWR THEN INSTRUCTED US TO FLY RWY HDG AND CLB TO 2000 FT AND CALLED TFC OFF TO OUR L ON FINAL APCH INTO HARRISBURG INTL ABOUT 3 MI TO OUR L WAS A DC9. WE RPTED TFC IN SIGHT WHILE WE WERE CLBING OUT FROM 600-2000 FT. WE DID NOT HAVE TO TAKE EVASIVE ACTION TO AVOID A COLLISION WITH THE DC9. WHILE ENRTE FROM CXY TO N92 HARRISBURG APCH ASKED ME TO GIVE CXY TWR A CALL WHEN WE GOT ON THE GND. WHEN I CALLED CXY TWR; THE CTLR TOLD ME THAT WE DID A TOUCH AND GO WHILE ONLY BEING CLRED TO LAND. I INFORMED HIM THAT WE EXECUTED ANOTHER GAR BECAUSE OF A BOUNCED LNDG. I DO NOT BELIEVE THAT THE CTLR FULLY UNDERSTOOD THAT WE WERE ON A TRAINING FLT; HE WAS TELLING ME OVER THE TELEPHONE THAT THERE SHOULD HAVE BEEN NO REASON TO DO A GAR. UNDER FAR 91.3; I AS PIC HAVE THE RIGHT TO ACT IN THE BEST INTEREST OF SAFETY. IF IN MY JUDGEMENT WHAT I DO OR WHAT MY STUDENT DOES IS NOT IN THE BEST INTEREST OF SAFETY; THEN I CAN TAKE A CORRECTIVE ACTION.