SMA PRACTICING MANEUVERS HAS NMAC WITH DC-8. XING TFC.

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I WAS PRACTICING VFR MANEUVERS WITH MY STUDENTS WHO IS IN THE PRE-SOLO STAGES OF TRAINING. WE WERE APPROX 3 NM W OF ALLAIRE ARPT (UNCTLED FIELD) AT 4000 FT MSL. AFTER 2 CLRING TURNS; MY STUDENT ESTABLISHED HERSELF IN SLOW FLT ON A SW HDG. I ASKED HER TO DEMONSTRATE A L TURN IN SLOW FLT. AS WE PASSED THROUGH A SE HDG; MY STUDENT COMMENTED; 'WOW; WHAT IS THAT.' SINCE WE WERE IN A L TURN; I HAD TO STRAIN FROM MY SEAT ON THE R TO LOOK OUT HER WINDOW. I SAW A DC-8-71 STREAKING TOWARDS US. I TOOK CTL OF MY PLANE FROM THE STUDENT; AND I ADDED FULL PWR; TOOK 1 NOTCH OF FLAPS OUT; CONTINUED THE L TURN; AND ATTEMPTED TO CLB. AS THE DC-8 PASSED BY; I COULD CLRLY READ ACR COMPANY ON THE ACFT. IN MY BEST ESTIMATION; I WOULD SAY WE WERE AT THE SAME ALT AND WE MISSED EACH OTHER BY NO MORE THAN 200 FT. I DO NOT KNOW IF THE OTHER ACFT WAS UNDER RADAR CONTACT; BUT THE AREA I WAS IN IS CTLED BY MCGUIRE APCH AND AS BEST I COULD; IT LOOKED LIKE THE DC-8 WAS HDG IN THE DIRECTION OF MCGUIRE AFB (WRI). I HAD MY MODE C XPONDER ON ALT DURING THE ENTIRE DURATION OF MY FLT; AND IF THE DC-8 WAS INDEED UNDER CTL BY MCGUIRE APCH; THEN THIS OCCURRENCE SHOULD NOT HAVE OCCURRED. IT DID NOT APPEAR THAT THE DC-8 TOOK ANY EVASIVE MANEUVERS.