Classical Style homeschooling

Last time I tried to cover the Charlotte Mason style of homeschooling. We do not use that method at our homeschool and so I hope that I covered the style well enough. If you want to know more, I would suggest internet research.
This time I would like to briefly cover another style of homeschooling. The classical style of homeschooling is a style of education that trained some of the greatest minds of centuries past.
Grammar, logic, and rhetoric are the three main thrusts of this style of education. These are called the Trivium. Traditional public and private school courses must be taught as well, because if children are not educated in these courses, such as math, science, and social studies, then they have a more difficult time meshing their classical education with the traditional education which high education is rooted in.
Classically educated homeschoolers are more likely to learn Latin and/or Greek as languages.
Many homeschoolers feel like the classical model, full of great books, and tried and true is a great way to teach their children to learn. That once children learn how to learn, then they can apply that to any type of course they wish to master in the future.
I have not actually met many families who use this method, but the families that I know that do educate according to this method tend to have very disciplined students. I cannot prove that would happen in your homeschool, but it might be a method you want to check out.