PLT TRAINEE LOST CTL OF A BEECH BARON BE58 AND WENT OFF SIDE OF RWY CAUSED WHEN INSTRUCTOR FAILED ONE ENG ON TKOF ROLL DURING A MULTI ENG TRAINING. THE INSTRUCTOR REGAINED CTL OF ACFT AND BROUGHT IT BACK ON THE RWY TO A STOP.

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I WAS THE INSTRUCTOR IN THE ACFT. I HAD BRIEFED MY STUDENT MANY TIMES ON THE PROCS USED TO RECOVER FROM AN ENG FAILURE DURING THE TKOF ROLL BELOW VMC. THIS WAS WHAT WE WERE PRACTICING AT THE TIME OF THE OCCURRENCE. THE PROB AROSE BECAUSE AT APPROX 35 KIAS DURING THE TKOF ROLL; I FAILED THE R ENG BY SELECTING IDLE CUTOFF WITH THE MIXTURE KNOB. I HAVE DONE THIS MANY OTHER TIMES WITH MANY STUDENTS. NOT ALL OF THEM DO THE CORRECT THING; WHICH IS TO RETARD BOTH THROTTLES TO IDLE. MANY TIMES I HAVE HAD TO SELECT IDLE CUTOFF ON THE OTHER ENG TO PREVENT A LOSS OF CTL. THIS TIME; THE STUDENT TOOK NO ACTION. HE LEFT THE OPERATING ENG AT FULL PWR. HERE IS WHERE I BELIEVE THAT I MADE 2 MISTAKES. FIRST; ALTHOUGH WE HAD BRIEFED THIS PROC MANY TIMES; IT WAS HIS FIRST TIME ACTUALLY TRYING TO DO IT. I COULD HAVE CUT THE ENG AT 15 OR 20 KIAS AND ACHIEVED THE SAME EFFECT. SECOND; I MISTAKENLY BELIEVED THAT HE WOULD 'EVENTUALLY' DO THE RIGHT THING. (AS I FOUND OUT SOON ENOUGH; HE WAS 'FROZEN SOLID.') IT HAS BEEN MY PRACTICE IN THE PAST TO GIVE THE STUDENT AN EXTRA 'SECOND OR TWO' TO REMEDY THE SIT. THIS TIME IT BACKFIRED AND CAUSED A LOSS OF CTL. VERY QUICKLY; THE AIRPLANE TURNED TOWARD THE EDGE OF THE RWY. HERE I MADE ANOTHER MISTAKE. INSTEAD OF REDUCING PWR ON THE OPERATING ENG AND THEN GAINING CTL; I DID THE REVERSE. THE STUDENT HAD FROZEN ON THE CTLS WITH THE ELEVATOR IN THE 'FULL UP' POS. AS I WAS TRYING TO GAIN CTL; THE R MAIN AND NOSEWHEEL LEFT THE RWY. I HAD THE AIRPLANE 'POINTED STRAIGHT' AGAIN AND NEXT REDUCED THE PWR TO THE L ENG. AS I WAS REDUCING PWR; THE STUDENT AGAIN WENT 'FULL UP' ELEVATOR; AND THE AIRPLANE BECAME AIRBORNE IN GND EFFECT AT APPROX 55 KIAS. THIS SENT US OVER A RWY LIGHT. ONCE I GOT THE AIRPLANE BACK ON THE GND; I RETURNED TO THE RWY; AND THE OCCURRENCE WAS OVER. THE AIRPLANE WAS CHKED ON THE GND AND THERE WAS NO DAMAGE TO IT. AS FAR AS I KNOW; THERE WAS NO DAMAGE TO ARPT PROPERTY. HUMAN FACTORS: I BELIEVE THAT I MADE SEVERAL KEY MISTAKES RELATING TO HUMAN JUDGEMENT. I WAS OVERCONFIDENT. I HAD DONE THIS 'MANY TIMES' AND HAD NEVER HAD A PROB BEFORE. I PUT TOO MUCH FAITH IN MY STUDENT. EVEN THOUGH WE HAD BRIEFED THIS SCENARIO MANY TIMES; IT WAS HIS FIRST ACTUAL TIME DOING IT. I HAD NO REASON TO BELIEVE THAT HE WOULD EVENTUALLY REDUCE BOTH THROTTLES TO IDLE. I WENT AGAINST ALL OF MY TRAINING. I TRIED TO GET CTL AT THE EXPENSE OF NOT REDUCING PWR. FACTORS I BELIEVE AFFECTED MY PERFORMANCE: OVERCONFIDENCE. HAVING 'MANY THINGS' (IE; COLLEGE SCHOOL WORK; UPCOMING CHK RIDE) ON MY MIND; RESULTING IN NOT BEING '100% IN THE AIRPLANE.' WHAT I HAVE LEARNED: BELIEVE YOUR TRAINING. ALWAYS SHOW UP MENTALLY AND PHYSICALLY READY TO FLY.