Small Aircraft
Flight Crew Commercial; Flight Crew Flight Instructor; Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 75; Flight Crew Total 280; Flight Crew Type 100
Confusion; Situational Awareness
Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Runway
General None Reported / Taken
Human Factors
We were given clearance to taxi to Runway 13; hold short of Runway 5L/23R. While holding short; active runways changed to 23R and 23L. Controller offered intersection departure at E 'if we could take it' and we accepted. Student turned right (heading 050) and initiated takeoff. Neither one of us verified departure direction. I was concentrating on monitoring student's short field departure. At approximately 200 ft AGL; I noticed our heading indicator showed 050 rather than 230. At this point; I informed ATC that we had departed wrong direction. After reporting this; I noticed [an aircraft] approaching head-on. Both aircraft gave way to the right and returned to the pattern. The student failed to brief which direction to turn. Instructor (me) failed to cross-check departure direction.
Instructor reported that the student pilot took off in the wrong direction.