The student pilot's failure to maintain directional control during a touch-and-go takeoff, which resulted in a runway excursion and a subsequent impact with a gopher hole, and the flight instructor's inadequate supervision of the student pilot and his delayed remedial action.

IMPROPER ATC CLEARANCE INSTRUCTIONS BY THE APPROACH CONTROLLER, RESULTING IN A FAILURE TO INSURE SAFE SEPARATION BETWEEN AN AIRPLANE IN VISUAL CONDITIONS WITH AN AIRPLANE IN INSTRUMENT METEOROLOGICAL CONDITIONS ON CONVERGING COURSES. A FACTOR WHICH CONTRIBUTED WAS INSUFFICIENT INFORMATION PROVIDED TO BOTH PILOTS BY THE CONTROLLER.