Here is a great article from Raising Olives on homeschooling advanced subjects in high school. And guess what one of the main recommendations is? Teach your children how to teach themselves!:
We LOVE “Life of Fred” math starting with 5th or 6th grade. In the front of the book it encourages parents to point their children back to the book when they come with a question because it explains that children need to be able to learn by reading the information.
Apologia also has this mindset. In Biology, it steps the children through the first several dissections and then tells them to do the research and figure out how to do the last dissection on their own.
The Robinson Curriculum also has this philosophy:
Teach your children to teach themselves and to acquire superior knowledge as did many of America’s most outstanding citizens in the days before socialism in education.
Here is the link to the Raising Olives article: http://raisingolives.com/2013/04/homeschooling-advanced-subjects/