7 ms·
I think the emphasis on this title is 'Learning' as the principles described don't only apply to maths and very much shouldn't be the end point for understandin
by Zhyl 5y ago
I think the emphasis on this title is 'Learning' as the principles described don't only apply to maths and very much shouldn't be the end point for understanding a concept.
Reducing a concept to a 'cartoonish' essence is really the secret to getting an intuition for a new concept, to allow the learner to 'get' it for the first time. The reason is that when one sees something for the first time, its value or meaning isn't apparent. It's just shapes on a page. In other subjects it might be words on a page or a list of events without any throughline or narrative.
Reducing something to a 'cartoon' allows you to focus on the orthogonality - the thing that that concept does that can't be done elsewhere and the reason why you should pay attention and find somewhere in your mind palace to put this new thing.
But I would emphasise that while the ability to understand something well enough to reduce something to its bare essence for a given audience requires a high level of understanding and mastery, the thing the article skims over somewhat is that for the audience this is only the first step and should be re-enforced and expanded upon almost immediately.
BetterExplained as an outlet mostly focus on the pop-explanations sector which is underserved in Mathematics (with 3Blue1Brown and Numberphile doing a lot of heavy lifting) but as a general philosophy of learning, this article needs a bit more development.