This is an article we highly recommend you read. Summer boredom can be a great thing for kids. Boredom can actually help a child become more self reliant.
"At 21 years I can still say that this school was the happiest time of my own life and my brother's. It instilled in both of us a wonder and thirst for learning that has not been quenched in all these years. This is the only school of which I am aware that encourages innovation in children; we were able to choose our activities at all times, and treated like the intelligent little five-year-olds or six-year-olds we were."