How do children know what they like if they are not exposed to it (with classes, etc.)?

“When you teach a child something you take away forever his chance of discovering it for himself.” ~ Jean Piaget

We live in the information age, where knowledge is available at your fingertips. For this reason, when kids are free exposure is not an issue. Furthermore, because students are free to explore and interact with students and adults of all ages all day long, they are exposed to a wide variety of topics, more than they would typically get in an environment where only one person is delivering the curriculum. Students in our program don’t look at learning as a set of fixed subjects to be mastered. Instead, they follow their curiosity and interest, which isn’t limited to a classroom.