NMAC BTWN A BEECH DUCHESS BE76 ON A PRACTICE ILS APCH AT 4 MI OUT; AND AN IA1124 WESTWIND PASSING OVERHEAD ON THE SAME APCH. NO TA'S WERE ISSUED.

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MY STUDENT AND I HAD COMPLETED 3 ILS APCHS AT APA AND HAD BEEN VECTORED BY APCH ONTO THE LOC AND CLRED FOR THE APCH. 2 MI OUTSIDE THE LOM WE WERE TOLD TO CONTACT TWR; WHICH WE DID. TWR TOLD US TO 'RPT THE PWR LINES' (A LOCALLY STANDARD CALLOUT) WHICH LIE 4 MI FROM THE RWY AND 3 MI INSIDE THE LOM. ALL THE TIME ON TWR FREQ WE WERE GIVEN NO TA'S AND HEARD NONE GIVEN TO OTHER ACFT WHICH WOULD TELL OTHERS ABOUT OUR POS. WE RPTED THE PWR LINES AND TWR TOLD US TO SIDESTEP L TO A PARALLEL RWY. THERE WAS NO URGENCY OR IMMEDIACY IN HIS VOICE. AS THIS WAS ACKNOWLEDGED; THE WESTWIND JET WAS NOTICED PASSING OVERHEAD; 40-50 FT ABOVE US. AS MY STUDENT HAD THE LOC AND GS NAILED; I FEEL THE WESTWIND MAY HAVE BEEN 1 DEG OR LESS ABOVE GS. THE SIDESTEP WAS QUICKLY ACCOMPLISHED AS WE WERE AWARE OF WAKE TURB AND THE LNDG WAS UNEVENTFUL. WHEN WE VISITED THE TWR; THE CTLR COULD NOT SATISFACTORILY EXPLAIN WHY THERE WERE NO TA'S GIVEN TO EITHER AIRPLANE. HE DID CALL THE CREW OF THE OTHER AIRPLANE; AND THEY SAID THEY WERE TRAINING; PERFORMING VFR CIRCUITS; AND NEITHER THE PF NOR PNF/IP SAW US. THE PROB AS I SEE IT IS TWOFOLD: 1) THE TWR CTLR JUST FINISHED A 'RUSH' AND PERHAPS LET DOWN HIS VIGILANCE. 2) THE WESTWIND CREW BOTH HAD THEIR EYES INSIDE THE COCKPIT AND; ON A VFR DAY AND OP; WERE RELYING ON TWR TO TELL THEM OF TFC AND WERE NOT LOOKING OUTSIDE.