I wanted to add something that I didn't see mentioned yet--classical education (as I understand it) teaches children according to the Trivium: first, the grammar stage, then dialectic, then rhetoric. This was used by ancient Greeks and Romans. The theory is that from K-6th grade or so, kids are very skillful at memorizing, so fill their brains with facts. They may not understand all the "why's," but if they know that Columbus sailed to America (okay, the Caribbean
) in 1492, it will benefit them later. If they memorize their skip counting tables using cute songs, it will make multiplication a snap.
The dialectic stage happens roughly in middle school. They like to debate with authority figures (even pointlessly!) and they do not want to memorize just for the sake of it. This is all reflecting their changing brain. This is a great time to study logic.
The rhetoric stage is approximately corresponding with high school. Once they have taken in information (grammar stage) and learned how to think logically, they want to express themselves. That's why high school poetry and creative writing is often much more sophisticated than it is in middle school.
I don't honestly see that classical education necessarily correlates to busy work or workbooks. We did a classical education co-op this year in tandem with using LHFHG and there were NO worksheets for the little guys. They hardly touched a pencil, unless it was for art. It was oral memorization and experiential, hands-on art and science. Music was some listening, some playing of instruments. I enjoyed it, but it was also exhausting to do two curricula at the same time! Another year of that? Eh. There was no way I was going to give up HoD, which had really worked its way into our hearts.
So we're not continuing with the co-op, but we may toss in some memorization or get a slooow start with Latin as an add-on to Beyond.