C182 MISSING APCH FOLLOWED THE CLRNC GIVEN BY APCH CTLR WHICH MAY HAVE RESULTED IN AN EARLY TURN AND FLYING TOO LOW OVER PARTS OF THE ARPT.

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ACFT WAS VECTORED TO FINAL FOR ILS RWY 28 AT BWI. MISSED APCH PROC GIVEN WAS 'TURN R TO 030 DEGS AND CLB TO 2000 FT FOR MISSED APCH.' ACFT PLT (INST TRAINEE) DSNDED TO DECISION HT (343 FT) CONTINUED TO APPROXIMATE END OF RWY. HE CALLED MISSED AND TWR TOLD HIM TO EXECUTE MISSED APCH INSTRUCTIONS -- 030 DEGS AND CLB TO 2000 FT. TRAINEE DID THIS. WHILE EXECUTING THE MISSED THE ACFT OVERFLEW PARTS OF ARPT AT LOWER THAN DESIRED ALT. HOW MUCH EXACTLY IS NOT REMEMBERED BUT PROBABLY LESS THAN 500 FT ABOVE OBJECTS OR CLOSE. EXACT ALTIMETER READING NOT REMEMBERED BUT IN AREA OF 1000 FT MSL. ON 2 FOLLOWING APCHS TWR GAVE MISSED PROCS TO BE '030 DEGS; CLB TO 2000 FT; EXECUTE MISSED PROC 500 FT AGL.' HE THEN ADVISED HE WOULD CALL MISSED POINT DUE TO DEPARTING TFC. ILS RWY 28 AT BWI MIDDLE MARKER NOT RECEIVED ON APCH. (THERE IS NO MIDDLE MARKER FOR APCH -- TIMED FROM FAF.) MISSED APCH WOULD BE BETTER TO 'REMAIN RWY HDG TO 1000 FT; R TURN TO 030 DEGS; CLB TO 2000 FT.' IF TFC PERMITS -- IF NOT; WHAT WS GIVEN ON SECOND AND THIRD APCH WAS ALRIGHT. TWR DID NOT COMMENT ON EVENTS OF FIRST APCH AND MISSED APCH BUT DID MODIFY NEXT PROCS (TO APPROX CIRCLING MINIMUMS).