Managing micro-movements in learning
(there must be a better term for this...)
- Some math books are good at putting things like "(why?)" to mark non-trivial inferential steps. This is comforting especially at an introductory level, because otherwise the learner has a slight panicky moment like "wait, am I supposed to be able to see this without any effort?"
- Some video explanations say things like "I encourage you to pause the video and ponder this before continuing".
These are both examples of "managing micro-movements"; they tell the learner how to do something on a 5-30 second level, instead of "macro-movements" like giving the learner an exercise or a whole chapter to read.
I find that one of the things that makes me really like a learning resource is when they manage this micro-level well.
one thing i like about khan academy (which i was watching a lot to prepare for math HL tutoring): sal keeps saying "and if you feel so inclined, i encourage you to pause the video right now and work this out yourself". it isn't repetitive! i love it. i wish more books/videos did this. i love working things out myself when i feel like i can do it, but on my own i often feel too lazy to decide what is a good opportunity to do this, so it helps me a lot when sal says it.