Record: Jeremy Redford, Danielle Battle, Stacey Bielick, and Sarah Grady, Homeschooling in the United States: 2012, (NCES 2016-096) (U.S. Department of Education: Washington, D.C., 2016) [Available Here]
Introduction: Every four or five years, the National Household Education Survey developed by the National Center for Education Statistics includes questions about homeschooling. This survey provides us with the best information available about homeschooling because it is consists of a representative, randomized sample of the entire American population. In 2013, we summarized some preliminary findings from this 2012 data-set; however, we now have the complete findings at our disposal. As I summarize this article, I will be making frequent reference to the previous survey from 2007, which we summarized here.
A second, fully revised edition of my 2008 book Homeschool: An American History, was published in March of 2017. 
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Homeschooling Research Notes 