You might enjoy reading "Cultural Misunderstandings: The French-American Experience" by Raymonde Carroll. She was born French and married an American, which triggered her interest in this topic. And she has a professional eye to these things as both her and her husband are ethnologist ;) But this is not a scholar book. There's a chapter on children education.

And also one on friendship and how it differs on both side --- which if more widely known would have cut down on the hysteria during the second Iraq war (freedom fries and all this hoopla). But then, media like the hysteria.