A PVT PLT TRAINING FOR HIS INST RATING IN A C172 FAILED TO PROPERLY FLY THE MISSED APCH PROC THAT ATC EXPECTED.

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3000-5000 FT; APPROX 5 MI W OF HOMER ARPT; AK. DUAL INST TRAINING FLT ON THE LOC/DME BACK COURSE RWY 21 APCH. DURING OUR PREFLT BRIEFING OF THE APCHS THAT WE WERE GOING TO EXECUTE; WE TALKED ABOUT THE HAZARDS OF THE HOMER MISSED APCH PROC; WHICH INVOLVES HOLDING 17 DME OUT OVER THE OPEN WATER AT 2600 FT. WE DISCUSSED ASKING CTR FOR AN AMENDED MISSED APCH PROC WHICH INVOLVED CLBING TO 5000 FT AND THEN TO THE HOMER VOR TO CONTINUE TO OUR NEXT DEST FOR AN ADDITIONAL APCH. BEFORE WE WERE CLRED FOR THE APCH; CTR ASKED WHAT OUR INTENTIONS WERE AND WE STATED THAT WE WANTED TO SHOOT THE APCH; DO A TOUCH-AND-GO; AND THEN EXECUTE THE MISSED APCH. IT WAS ACCEPTED AND WE WERE THEN CLRED. BECAUSE OF THE WINDS WE ENDED UP DOING A CIRCLING APCH FOR THE TOUCH-AND-GO AND THEN TURNED DOWNWIND TO CONTINUE IN THE DIRECTION OF THE MISSED APCH PROC; WHICH FURTHER COMPLICATED OUR SIT. THE PROB AROSE WHEN WE ACCEPTED OUR CLRNC I FORGOT TO ASK FOR THE AMENDED DEP PROC THAT I HAD DISCUSSED PREVIOUSLY WITH MY STUDENT. WHEN THE TIME CAME TO DO THE MISSED APCH; WE EXECUTED THE MISSED APCH PROC THAT WE HAD TALKED ABOUT PRIOR TO THE FLT; NOT THE ONE THAT WE HAD ACCEPTED FROM CTR. BIG MISTAKE. WE WERE THEN ADVISED THAT WE HAD COMMITTED A PLTDEV AND TALKED TO THE CTR SUPVR UPON LNDG. THE FACTORS THAT I FEEL LED TO MY MISCOM/MISTAKE WERE: 1) LIGHT TO MODERATE TURB ENCOUNTERED DURING THE WHOLE APCH. 2) MY PREOCCUPATION WITH TALKING TO MY STUDENT EXPLAINING THE NECESSARY CORRECTIONS FOR THE APCH. 3) HVY FLT SCHEDULE FOR THE PRECEDING 13 DAYS. 4) INSTRUCTOR FATIGUE. AFTER THINKING ABOUT THIS FOR A WHILE I FEEL THAT THE SIGNIFICANT CONTRIBUTING FACTOR LEADING TO THIS EVENT WAS FATIGUE. I HAD NOT EXCEEDED MY 8 HRS OF FLT TIME WITHIN 24 CONSECUTIVE HRS; BUT HAVE BEEN WORKING DOING PREFLT/POSTFLT BRIEFS AND GND INSTRUCTION LEADING UP TO 10-12 HR WORK DAYS FOR THE PAST 13 DAYS. SITTING DOWN AND THINKING ABOUT THIS; I HAVE DECIDED TO RESTRICT MY WORK DAY TO 8 HRS OF ACTUAL FLT AND GND INSTRUCTION.