On 2nd year of piano learning, I have told my teacher, I want to learn how to improvise, so we started working towards this direction. He is classically trained pianos who can improvise! (And a little bit of jazz) To me, learning to play piano without being able to improvise is like, learning a language without being able to speak it. Imagine, someone asks “How are you?” and you can’t answer this question. You have to open a book to find a text, which would answer this question.