“I hear, I forget. I see, I remember. I do, I understand.” — Chinese proverb
The Moore Method is a little-known method for teaching advanced math that gets great results. In essence, it sacrifices breadth of coverage for depth of understanding, i.e. it prioritizes quality over quantity when it comes to learning a subject.
In essence the Moore Method works by having the students present the course content themselves. In higher math, the semester starts with a list of definitions and theorems to prove from them, with new theorems being introduced as students progress through the material. However, I believe that this approach could (and should) be adapted to other topics and levels of study and scaled up. This type of participatory/active, rather than receptive/passive, classroom experience is a fundamental feature of the educational revolution that is sweeping the planet.
“That student is taught the best who is told the least.” Robert Lee Moore, inventor of The Moore Method