Creativity always come hand in hand with innovation.
Without creativity there is innovation, but if you don't innovate your creativity then it will go to waste.

Creativity is a very subjective issue to discuss especially it varies to different people.
Human are always scared of something different or any significant changes that bounds to materialise which is why creativity is encouraged but not promoted in many schools. The reason being is that it is very hard to measure creativity since the measure will decide the particular student's course of future.

Schools don't kill creativity, they just don't promote it.
Exams are based on quantitave measures since most preach and practice meritrocracy. Those hat get the higher aggregrate marks prevails. Unless there is a change in marking system then creativity will stay dormant inside the student until a random event triggers it.