Summer breaks are a requirement for our DD8. When her peers start talking about summer camps and new scheduled activities, we ask her what she wants to do for the summer, and she emphatically says, "NOTHING!" Not only does she want no additional activities, she also chooses to exit the activities she's already in (though this year she has decided to remain in her gymnastics class for the summer, which is something of a breakthrough for her). She would rather spend the days in the pool, and/or playing with her friends, with the occasional travel opportunity mixed in.

Since she's already working so far ahead, and because she couldn't stop learning if she tried, we're happy to oblige. I'm also confident that if we insisted on her doing some sort of learning activity through the summer, she'd resent it, and her attitude towards learning would take a sharp nosedive.

Your results may vary.