> Is Bloom's "Two Sigma" phenomenon real? ... one-on-one tutoring using mastery learning led to a two sigma(!) improvement in student performance. When I tutored, I found students often had some misunderstanding, somewhere. So my task was to listen , to find that misunderstanding, so I could correct it. This "teaching" is listening, more than talking. The idea is they are lost, but to know what direction they need, I…
With that in mind, one of the interesting findings in language acquisition studies is that when free reading (reading things for pleasure), it takes 95% comprehension of the text in order to acquire new grammar and vocabulary in context (quite a bit higher than most people imagine -- which is one of the reason people advance a lot more slowly than they might otherwise).
With that, just like your experience, the key to teaching is to ensure that the student comprehends at least 95% of what you are saying. The only way to ensure this is by constantly testing their comprehension with a two way dialog. Once a very high level of comprehension is reached, and once enough repetition happens to remember the thing, you will acquire the knowledge.
It is incredibly difficult to do this unless you are teaching 1:1. There is a special technique called "circling" that you can use to teach language to a larger number of students and it worked extremely well for me. I still can't effectively do it for more than about 10 or 15 though. If you think in a 45 minute class, if I have 15 students, then each student gets 3 minutes of my time. It's not actually surprising that classes of 30 or 40 basically impossible.
Quick note: I'm no longer teaching, in case it is unclear from the above.