A C150 PLT HAS AN NMAC WITH A C152 WHILE BEING CTLED BY TUP TWR.

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MY STUDENT CALLED AT 10 NM INBOUND FOR LNDG. TOLD TO RPT R BASE RWY 36. AT 5 NM; AIR TRACTOR RPTED 5 NM SE. TWR CONFIRMED WHERE WE WERE. WE WERE WELL BEHIND HIM. SHE SAID WE WERE $#2 FOLLOWING AIR TRACTOR. AFTER AIR TRACTOR LANDED; WE RPTED 3 MI R BASE. THERE WAS ANOTHER C152 ON L DOWNWIND SO TWR HAD US DO A L 360 DEG TURN FOR SPACING. 1/2 WAY AROUND THE 360 DEG TURN; SHE ASKED US TO RPT BACK ON BASE; WHICH WE DID. IMMEDIATELY AFTER WE RPTED ON BASE; SHE ASKED IF WE SAW THE OTHER ACFT ON BASE. I SAID NO; AND TOLD HER THAT WE WERE GOING TO TURN AWAY FROM THE ARPT TO AVOID TFC. JUST AS WE TURNED L TO THE S AWAY FROM THE ARPT; THE C152 WAS TURNING FINAL AND WE WERE HEAD-ON. I GRABBED THE CTLS FROM MY STUDENT AND BANKED SHARPLY TO THE L AVOIDING THE TFC. I RADIOED TWR TO RPT THE SIT AND WE LANDED. I CALLED TWR ON THE PHONE AFTER GETTING OUT OF THE PLANE. SHE SUMMED IT UP BY SAYING SHE COULDN'T SEE US. I ASKED WHY WE WERE BOTH PUT ON OPPOSITE BASES WHEN SHE COULDN'T SEE US. A LINE WORKER SAW THE WHOLE THING CLRLY AS THE WX WAS CLR. EVERYBODY AT THE FBO HAD A STORY OF THEIR OWN ABOUT SOMETHING SILLY THE SAME CTLR HAD DONE TO THEM.