CLOSE PROX 2 GA SMA ACFT IN UNCTLED AIRSPACE.

Narrative

THE STUDENT AND I WERE ON THE SECOND LEG OF A 3 LEG TRAINING FLT TO UNCTLED AND UNFAMILIAR ARPTS (VERY FAMILIAR TO ME). WE WERE CLBING OUT ON AN ENRTE CLB WHEN I NOTICED THE STUDENT STARING AT OUR 1-2 O'CLOCK POS. WHEN I LOOKED TO SEE WHAT HE WAS LOOKING AT; WE WERE VERY CLOSE; SIMULTANEOUSLY I CLOSED THE THROTTLE AND PUSHED THE YOKE ALL THE WAY FORWARD. I DID NOT HAVE TIME TO BANK THE ACFT; BESIDES I WANTED TO KEEP HIM IN SIGHT. THE OTHER ACFT WAS AN SMA Y WHITE WITH BLACK STRIPES. THIS IS ONE OF THOSE INSTANCES WHERE NO ONE IS TO BLAME; ACFT JUST NATURALLY CONVERGE ON ARPTS; IN OTHER WORDS WE WERE BOTH WELL WITHIN OUR RIGHTS TO BE WHERE WE WERE. DID THE OTHER GUY ANNOUNCE HIMSELF ON THE CTAF FREQ? I DO NOT KNOW; I NEVER HEARD HIM IF HE DID. MAYBE HE DID NOT EVEN HAVE A RADIO. ONE OF MY OTHER THOUGHTS WAS WHY DID MY STUDENT NOT SAY SOMETHING ABOUT THE CONFLICT? I ASKED AND HE SAID HE DID NOT THINK IT WOULD BE A CONFLICT. AS FOR THE FACTORS AFFECTING PERFORMANCE; THE STUDENT IS 72 YRS OLD AND AFTER THIS INCIDENT I AM CONVINCED THAT MAYBE HIS EYE SIGHT AND INABILITY TO REACT JUST MAY COST HIM AND/OR OTHERS THEIR LIVES. I; THE INSTRUCTOR; MUST NOT SIT DOWN AND REALLY EVALUATE AS TO WHETHER OR NOT THIS MAN SHOULD REALLY BE FLYING. HE HAS A THIRD CLASS MEDICAL WITH LIMITATIONS FOR THE USE OF GLASSES; BUT I DON'T THINK HE SEES WELL ENOUGH TO BE A SAFE PLT. AS FOR ME; I HAVE EXCELLENT EYE SIGHT; BUT NOT EVERYONE SEES ALL THE TFC ALL OF THE TIME. I MIGHT HAVE BEEN TOO RELAXED AND NOT LOOKING HARD ENOUGH; I DON'T KNOW.