The pilot checks in on a 320 heading. The controllers issues a 180 heading, but meant to issue a 280 heading. That's the first link in the incident chain...
The pilot's read back isn't clear (the first digit appears to be clipped, almost as though he started talking and then hit the PTT a fraction of a second too late, perhaps). Clink, another link in the incident chain.
Thankfully the controller notices the aircraft isn't where he expects it to be and corrects the problem.
Notice how clear the pilot read backs are on the subsequent calls?
Interesting stuff!
Edit: here's the flight track. You can see the 180 heading (briefly), pointing them right towards TEB for a little while.
You can see the