It's interesting that each of those practice scenarios he recommends are fairly dangerous from the point of view of the ego. I would be very apprehensive about learning the multiplication tables in a public fashion.
All education works best when customized for the learner. In your case (and mine!) you prefer to learn without the possibility that someone will ridicule you for making a mistake. Many people actually learn faster/better when the threat of ridicule is on the table, though.
Assigning homework actually has the same effect as the in-class quiz, since it forces each student to reach in the same way and would be another example.
The teacher would need to try and make the students understand that it is all right -- scrap that, necessary -- to fail when you learn. Learning to perform surgery is not the same thing as performing it.
Out of curiosity, how do you think it would affect your motivation to practice in private if you knew you would be tested in public?
Assigning homework actually has the same effect as the in-class quiz, since it forces each student to reach in the same way and would be another example.