Shredding up your tyres is usually a sign of bad driving tbh and not a sign of pushing the car, this is what the day is meant to teach you! Talk to any true racer and they will telll you about loading up the tyres, gently rolling on and off the throttle and brakes and this will stop the tyres braking traction so easy, which is when you will shred them up. I come from bike riding background where this is much more important but the principals are the same. As Ben pointed out, on his first track day, he was far too abusive to his tyres, turning in sharply, getting on the brakes too hard, and then getting on the throttle too quickly and hard. Since he has now learnt better throttle finnesse and steering, he goes far quicker and shreds his tyres a hell of a lot less. Sure I can go out and rag my car and destroy the tyres a piece of pi$$, the true art is going quickly and saving your tyres. Watch the guys that get the highest speeds on the track and they are the smoothest at car control