While not perfect, Montessori seems like a good start to demonstrating that kids can choose to study.
The Montessori Method of Education, developed by Italian physician Maria Montessori, is a child-centered educational approach based on scientific observations of children. The method views the child as naturally eager for knowledge and capable of initiating learning in a supportive, thoughtfully prepared learning environment. It attempts to develop children physically, socially, emotionally and cognitively.[1]