FO OF AN EMBRAER EMB120 (E120) FAILED TO DSND IN TIMELY RATE TO MAKE DSCNT ASSIGNED ALT XING RESTR. FO WAS INFORMED PRIOR TO THE RESTR; BUT DID NOT START A SUFFICIENT RATE OF DSCNT TO ASSURE MEETING THE XING RESTR. THE CAPT; WHO WAS GIVING THE FO AN IOE AND DISTR BY OTHER TASKS; HAD NOT MONITORED THE RESTR STATUS.

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ON THE SINCA 3 ARR INTO ATL; WE WERE GIVEN A XING RESTR TO CROSS 20 NM N OF DUBLIN AT 12000 FT. THE FO; WHO WAS A NEW CAPT RECEIVING IOE; WAS FLYING AND ACKNOWLEDGED THE CLRNC SINCE THE CAPT/INSTRUCTOR WAS BRIEFING PAX. THE FO RELAYED THE CLRNC TO THE CAPT; AND BEGAN A DSCNT. AT APPROX 25 NM N OF DUBLIN AT 14700 FT; THE CTR CTLR ASKED US TO SAY OUR DME FROM DUBLIN; AND WE THEN REALIZED OUR ERROR. WE TOLD HIM OUR DISTANCE; AND HE INFORMED US THAT WE HAD VIOLATED THE RESTR. WE APOLOGIZED. I THINK WHAT CONTRIBUTED TO OUR MISTAKE WAS THAT I; THE FO; FAILED TO WRITE DOWN THE CLRNC WHEN IT WAS RECEIVED; WHICH THEN ALLOWED OUR MEMORIES TO FAIL US. ON THE ARR; I FORGOT ABOUT THE RESTR; AND BEGAN NAVING OFF OF ATL VOR PREMATURELY; CAUSING ME TO LOSE TRACK OF MY DISTANCE FROM DUBLIN. THE TRAINING ENVIRONMENT IS IN ITSELF AN UNUSUAL OP FULL OF DISTRS AND UNFAMILIARITY. THIS WAS THE LAST LEG HOME AFTER A 2-DAY TRIP; AND COMPLACENCY WAS ALSO A FACTOR. I WILL FROM NOW ON ALWAYS MAKE A HABIT OF COPYING DOWN CLRNCS -- ESPECIALLY FOR XING RESTRS; OR ANY OTHER CLRNC WHICH MUST BE COMPLIED WITH IN THE FUTURE OF THE FLT.