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The least convincing argument for government-run schooling is that it provides a 'social' experience for children.  Anyone who attended school has horror stories about the behavior kids learn from the social environment at schools and, if you are a parent with a school age child, you might even worry about it more than be relieved.

Single-sex schools would seem to relieve some of that pressure, just like some women or some men feel better at a single-sex exercise facility. Advocates of single-sex schools contend that there may be brain differences between girls and boys that benefit from different teaching styles, though neuroscientists have found no brain differences linked to different learning styles.