ACR MLG RECEIVED TCASII RA DURING DSCNT WHILE ON VECTOR TO ILS. MLG CLBED AND WAS REASSIGNED 4000 FT. CTLR TRAINING IN PROGRESS.

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WHILE BEING VECTORED BY PIT APCH FOR ILS TO RWY 32 AT PIT INTL; I WAS TURNING BASE LEG TO FINAL ABOUT 14 NM S OF ARPT DSNDING FROM 4000 FT TO 3000 FT AS ASSIGNED BY PIT APCH. THE TCASII STARTED COMMANDING MONITOR VERT SPD WITH OUR RATE OF DSCNT AT 500 FPM IN THE RED ON THE RATE OF CLB INDICATOR AT WHICH TIME I REDUCED DSCNT RATE TO GET OUT OF THE RED. THE TCASII THEN ISSUED A CLB; CLB; IMMEDIATELY; WHICH I DID INTO THE GREEN. THE FO ASKED APCH CTL IF THERE WAS ANY TFC AROUND US BECAUSE WE HAD A TCASII WARNING. THE CTLR SAID MAINTAIN 4000 FT AND I CLBED BACK TO 4000 FT. THE FO SAID HE OBSERVED A CLRNC OF 300 FT ON THE TCASII SCREEN WHEN WE GOT THE RA. ATC DIDN'T WARN US ABOUT THIS UNTIL WE ASKED ABOUT THE TFC AND WE WOULD HAVE DSNDED INTO THE CONFLICTING TFC HAD IT NOT BEEN FOR THE TCASII SYS. I TALKED TO APCH CTL ON THE TELEPHONE AND THEY SAID A SUPVR HAD A TRAINEE CTLING US. SUPPLEMENTAL INFORMATION FROM ACN 261136: AFTER BEING RECLRED FOR THE APCH AND AN UNEVENTFUL APCH AND LNDG; BOTH THE CAPT AND I SPOKE TO THE RADAR ROOM SUPVR VIA LANDLINE. WE WERE INFORMED THAT THE CTLR IN QUESTION WAS A TRAINEE UNDER THE SUPERVISION OF AN INSTRUCTOR. WE WERE BOTH ASSURED THAT THE MATTER WOULD BE ADDRESSED AS REQUIRED.