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For the same reason most effective learning comes from doing, most effective teaching comes from showing.
The best way to alleviate these fears is to SHOW them how they can succeed using the new method. You can write an essay about how it's best to shoot a basketball but it won't come close to SHOWING in front of them how to shoot. That way they will SEE how to do it and be able to copy it remarkable well (using the machinery that allowed us to learn throughout our evolutionary history).
This also relates to platonicity and the gap between reality and abstraction. Words can only get you so far. There will always be a difference between words and reality because simply there aren't so many words as there are complexities and dimensionalities in reality. This is why you must put the metaphysical into the physical. There will always be a gap between the description/theory/words/abstraction and reality. You must always aim to get to reality as possible through testing, experimentation, doing, showing, etc.
Also, maybe, this is why aiding your teaching materials with visuals may aid understanding. A visual shows something words cannot. It allows you to grasp the concept at once as PN: Combining rationality with childlike curiosity – the dimensional mind TK P: Visual learning
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