In continuation passing style (CPS), every function f takes an extra final argument k called the "continuation". The continuation is itself a function and represents the rest of the program. Instead of just returning a value in the normal way, f passes it as an argument to k and returns the result of that.
E.g, in Scheme:
(define (f k) (k 1) (k 2) 3)
(display (call-with-current-continuation f))
Will display 1.
[Is this correct?]