A C152 TRAINING FLT IS CHALLENGED BY GND CTLR AFTER IT CROSSES THE ACTIVE; RWY 27L; WHEN CLRED TO TAXI TO RWY 27R AT HWO; FL.

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DURING A ROUTINE TRAINING LESSON; ME AND MY STUDENT WERE PLANNING A SE DEP FROM HWO. AT OUR COMPANY RAMP; I CALLED HWO GND AND REQUESTED A SE DEP AND TAXI INSTRUCTIONS; AND WAS TOLD TO 'TAXI TO RWY 27R.' I INITIATED THE TAXI PROC; HANDING THE CTLS TO MY STUDENT AND DIRECTING HIM TO RWY 27R BY THE MOST APPROPRIATE RTE. I OBSERVED SEVERAL ACFT LINED UP AT RWY 27L AWAITING TKOF. AS INSTRUCTED; I CROSSED RWY 27L (OBSERVING TFC) AND PROCEEDED TO RWY 27R TO START MY RUN-UP PROC. HWO GND ASKED 'WHAT ARE YOU DOING AT RWY 27R? I TOLD YOU TO TAXI TO RWY 27L. YOU JUST CROSSED AN ACTIVE RWY.' I REPLIED BACK 'NEGATIVE; YOU INSTRUCTED ME TO TAXI TO RWY 27R.' HE REPLIED SAYING HE DIDN'T WANT TO ARGUE. I THEN ASKED MY STUDENT. HE REPLIED 'YES; TAXI TO RWY 27R!' FROM THERE WE CONTINUED OUR FLT AS PLANNED. THIS MIGHT HAVE BEEN A DANGEROUS SIT WITH BAD OUTCOME. IT SEEMED THE CTLR; OVERWHELMED WITH DUTIES; SIMPLY ISSUED A WRONG INSTRUCTION WHICH COULD HAVE BEEN FATAL. I COULD HAVE PROBABLY PREVENTED THE OCCURRENCE BY QUESTIONING HIS INSTRUCTION. THAT WAS THE LESSON OF THE DAY FOR MY STUDENTS: 'CTLRS ALSO MAKE MISTAKES; WATCH OUT!'