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Great post - i wholeheartedly agree.
I don’t know how to drive so the following analogy is fraught but some people need to learn a car from the engine first and others need to learn it from the steering wheel first.
In my own case, my learning preference is somewhat influenced by a broader context: to what extent am i needing to just Get Something Done, and to what extent am i interested in the topic for its own sake?
One would think that different people having different learning preferences in different contexts should be uncontroversial, but my experience has been otherwise. In particular, i've found discussions of maths education regularly feature lots of One True Wayism. But i'll leave that for a separate post. :-)
“The One True Way of teaching maths”
☙
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