C172 Check Pilot reported student's over braking on landing resulted in left main tire failure.

Narrative

I was the Part 141 check pilot administering a commercial pilot stage check for a student in the university flight program. The flight started off well; with the student performing as desired. After several maneuvers; I could sense the student was getting stressed; and the maneuver quality started to diminish. We were at the half-way point on the stage check; and were going to do short and soft field takeoffs and landings at ZZZ. The student entered the pattern correctly; was the appropriate distance in downwind; base and final. Upon rolling out on final; I noticed the speed was showing 80 kts. It should be closer to 70 kts; with the intent and energy of slowing to 61 kts by short final. I was hoping the student would elect to go around; as is allowed in the CPL ACS; but the student decided to continue the approach. It resulted in an unstable final; with improper control inputs to achieve the desired state. The result was forcing a landing onto the runway; landing flat and 400' long. After touchdown; the student stood on the brakes for max braking; but locked up the left main; and we heard the hiss from the tire being blown; followed by the airplane pulling to the left. We came to a stop about 1600' down the runway and then shut the airplane down while still on the runway. After deplaning and inspecting the tire; we decided it was best to tow the airplane to the ramp with the left main gear on a dolly. With no maintenance personnel at the airfield; the student and I worked together to tow the aircraft safely back to the ramp. Once the replacement tire and brake assembly were replaced; and maintenance was satisfied; we performed a brake check with the mechanic nearby. All was successful; so we departed to the home airport without further incident. I gave the student the option of flying back or letting me fly. The decision was made that I would fly back; with the student on the radios.To prevent this from occurring in the future; I could end the flight earlier if it isn't going well; and also try to make the student feel less stressed in an already stressful environment. Some factors that I'm sure played a part were the following: end of a semester (pressure to complete the course after delays for maintenance and weather that cancelled earlier flights); no local housing - student had a 2 hour drive to the airport; and it was one of the warmest days of the year with more updrafts than previously flown in while performing the commercial maneuvers. A risk assessment was completed prior to the flight; but that doesn't mean that the flight was risk-free. As pilots gain experience; they start to make better decisions. We as instructors need to foster that decision making process early in their flying career. An instructor with 20 years experience will have a different outlook than one with 2 years experience. Seasoned instructors have a responsibility to mentor new instructors when it comes to the decision making process. Unfortunately; sometimes experience is the best teacher. Good judgement comes from experience; but experience comes from bad judgement.