A CESSNA STUDENT PILOT LOST CONTROL AFTER A BOUNCED LANDING AND THE HURRIED INSTRUCTOR RECOVERED. THE HURRIED INSTRUCTOR PILOT THEN MISTOOK A RUNWAY FOR A TAXIWAY AND INCURRED IT.

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AFTER A LESSON OF SIMULATED EMERS AND LEARNING TO LAND AT A NEARBY ARPT; MY PRE-SOLO STUDENT AND I RETURNED TO OUR HOME-BASE OF MYF. WE DECIDED TO DO A FEW TOUCH AND GOES BEFORE OUR FINAL LNDG. UPON THE THIRD ATTEMPT; THE STUDENT DIDN'T USE ENOUGH BACK PRESSURE FOR THE FLARE AND WE BOUNCED UP SLIGHTLY; WHEN WE CONTACTED THE RWY AGAIN WE CAME DOWN WITH A SIGNIFICANT SIDE LOAD AND THE AIRPLANE STARTING SWERVING (THE NOSE SWERVED TO THE L AT A 30 DEG ANGLE FROM THE RWY HDG). I TOOK CTL OF THE AIRPLANE AND WAS ABLE TO USE CORRECTIONS TO GET THE AIRPLANE BACK UNDER CTL SAFELY. I IMMEDIATELY CALLED THE TWR AND SAID THAT WE WERE 'MAKING THIS A FULL-STOP.' WE WERE BOTH VERY SHAKEN UP AND EXITED THE FIRST L WE COULD (WE HAD LANDED ON RWY 28R AND EXITED ON TXWY G). UPON EXITING; THE CTLR SAID TO 'GO AHEAD AND MAKE A L TURN THERE ON 23 AND CONTACT GND.' IN THE EXCITEMENT WITH RAPID HEART BEATS AND ADRENALINE; WE STARTED MAKING A L TOWARDS THE NEAREST RWY (ASSUMING IT WAS 23 BECAUSE WE WERE STILL SHAKEN AND BECAUSE IT WAS MENTIONED). WE WANTED TO FOLLOW TWR DIRECTIONS IMMEDIATELY AND 'TURNED L TOWARDS THE RWY.' ONCE THE EXCITEMENT STARTED TO CALM DOWN (AFTER THE IMMEDIATE 20 SECONDS FOLLOWING THE HAZARDOUS SIDE LOAD LNDG) I SAW THAT RWY 23 WASN'T EVEN AN OPTION FOR USE FROM OUR PRESENT POS. AT THE SAME TIME TWR ASKED 'CESSNA WHERE ARE YOU GOING?' WE IMMEDIATELY STOPPED BUT THE FIRST HALF OF OUR AIRPLANE WAS OVER THE HOLD SHORT LINE FOR RWY 28L (WE WERE A GOOD 20 FT STILL FROM THE RWY). THE TWR SAFELY AND WISELY CALLED FOR THE TFC ON FINAL FOR RWY 28L TO GO AROUND. THE TWR THEN CLRED US ACROSS RWY 28L AND REQUESTED WE SWITCH TO GND. WE REQUESTED A TAXI CLRNC FROM GND AND TAXIED BACK TO OUR TIE-DOWN UNEVENTFULLY AND WITHOUT A REQUEST TO CONTACT THE TWR. IN HINDSIGHT; WE BLINDLY FOLLOWED 'TURN ONTO 23' EVEN THOUGH THOSE INSTRUCTIONS COULD NOT HAVE APPLIED FOR US. TO PREVENT THIS FROM HAPPENING IN THE FUTURE; I WILL TAKE 10 SECONDS FOR US TO CALM DOWN; RECOVER AND 'GET OUR BEARINGS' IN THE UNFORTUNATE EVENT OF ENCOUNTERING A HAZARDOUS OR STRESSFUL SITUATION.