CIRRUS SR22 TAXIED ONTO WRONG END OF RWY IN USE DURING INSTRUCTIONAL FLIGHT FROM UNCONTROLLED ARPT. PLTS RECOGNIZED THEIR MISTAKE AND TAXIED CLEAR AS ACFT WAS ON SHORT FINAL; OPPOSITE DIRECTION.

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UPON OUR DEP FROM I69 THE PF ASKED IF RWY 22 IS THIS WAY. I HAD MY HEAD DOWN IN THE COCKPIT AND STATED YES. WE MADE A CALL ON THE CTAF TO STATE THAT WE WERE GOING TO TAXI TO RWY 22. WE HEARD NO OTHER TFC AT THE TIME SO WE SWITCHED TO CLRNC DELIVERY TO TRY TO GET OUR IFR CLRNC FROM CVG. AFTER GETTING THE CLRNC WE STATED THAT WE WERE DEPARTING RWY 22. ANOTHER ACFT CALLED THAT HE WAS ON A L BASE FOR RWY 22. WE DID NOT SPOT THE ACFT AND FELT WE HAD PLENTY OF TIME TO DEPART AND GET OUT OF THE WAY. AS WE ROLLED ONTO THE RWY AND ADDED PWR I MADE A VISUAL CHK OF THE HSI AND THE RWY AND REALIZED WE WERE ON RWY 4. I MADE AN IMMEDIATE CALLOUT TO ABORT. AT THAT TIME THE OTHER ACFT WAS LINING UP ON A FINAL FOR RWY 22. WE ROLLED ON THE FIRST TXWY TO THE L TO CLR THE RWY FOR THE OTHER ACFT. AT THAT TIME SOMEONE FROM UNICOM CAME ON THE RADIO TO TELL US TO ABORT THE TKOF. WE WERE ALREADY ABORTED AND ON THE TXWY BY THIS TIME. ONCE CLR; WE TAXIED TO RWY 22 FOR AN UNEVENTFUL FLT HOME. THE OTHER ACFT APPEARED TO BE AN EXPERIMENTAL TAILWHEEL TYPE ACFT. HE MADE THE PROPER RADIO CALLS IN THE PATTERN; HE WAS LINED UP ON SHORT FINAL WITH US AT THE OTHER END OF THE RWY. IF I WERE IN THE POS I THINK I WOULD HAVE ELECTED TO DO A GAR ON HIS PART. WITH MY HEAD DOWN IN THE COCKPIT WORKING ON THE IFR CLRNC I WAS NOT ABLE TO CATCH THE PF'S MISTAKE IN A TIMELY MANNER. I ALWAYS CHK THE HSI WITH THE APPROPRIATE RWY. THANKFULLY WE CAUGHT THE MISTAKE IN TIME TO STOP ANY PROBS; BUT IT IS SOMETHING WE SHOULD HAVE REALIZED MUCH SOONER.