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Thought you guys might be interested in this article about accelerated math education in The Atlantic Monthly. The piece does not mention homeschooling directly, but does state [emphasis mine], "The students are being produced by a new pedagogical ecosystemâ€”almost entirely extracurricularâ€”that has developed online and in the countryâ€™s rich coastal cities and tech meccas. In these places, accelerated students are learning more and learning faster than they were 10 years agoâ€”tackling more-complex material than many people in the advanced-math community had thought possible." http://www.theatlantic.com/magazine/archive/2016/03/the-math-revolution/426855/