Final answer:
The 2012 U.S. Department of Education survey indicates that providing a better education and religious reasons are the most frequently cited motivations for homeschooling.
Step-by-step explanation:
The most frequently cited motivations for homeschooling based on the 2012 U.S. Department of Education survey are concerns for the environment of other schools, dissatisfaction with the academic instruction at other schools, and a desire to provide religious instruction. Notably, almost half of the parents chose homeschooling because they believe they can provide a better education at home, and just under 40 percent did so for religious reasons. The distribution of applicable reasons for homeschooling may vary from the most important reason, which suggests that while many parents may have multiple reasons for homeschooling, they give certain reasons more weight than others.