I've been teaching knitting off and on for about twenty years. Over that time I've changed my techniques as I learned more about the best approaches. In my previous career I often taught software applications to others and I generally would show one method to accomplish a goal even when it was possible to demonstrate a method from the menu bar, a method using an icon as well as a keyboard shortcut. In small groups I would take a poll as to what methods the users preferred and then teach to that preference set.
I often adjust my teaching for the audience when I teach knitters. New knitters don't have the same established set of muscle memory that long time knitters have. I am much more likely to show only one method to them. Frequently they can't see the difference between two ways of reaching the same goal that they will later in their knitting lives. I've heard the same thing about experienced dancers in that they can quickly reproduce complex movements in a long sequence with a single demonstration.
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