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Comment by Zhyl | Hacker News Reader

I do enjoy Khalid's explanations, and I applaud anyone who is exploring different mediums and methods to help improve education, especially around Mathematics and Computing (my areas of interest).

Other favourites:

https://acko.net/blog/how-to-fold-a-julia-fractal/

https://ncase.me/trust

http://worrydream.com/LadderOfAbstraction/

https://m.youtube.com/user/patrickJMT

https://www.3blue1brown.com/

https://www.redblobgames.com/pathfinding/a-star/introduction...

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Second this. I’m working on a set of ideas about how best to enable arbitrary learning trajectories through a knowledge graph — partly in an effort to better capture my own learning in mathematical topics. I liked how Quantum Country integrated spaced repetition into its presentation of quantum computing, but I think you could go further and structure all knowledge you wish to communicate in a graph form. There are so many reasons to do this: it’s a graph in your head anyway, and if a machine can track and manage that graph it can better help you navigate it in a learning-optimal way. Just try reading some math on wikipedia and you’ll see where this could really shine. Currently it’s a frustrating experience because there are many slices of information that you might benefit from when you are looking up eg the article on distributive lattices, but the optimal slice to see depends on what examples you’ve encountered, what other topics are fresh in your mind, and what your short term goals are. Of course a textbook is a particular curated walk through this graph, but people are different, and there is no walk that is optimal for all people. A dedicated expert teacher can curate a path specifically for a learner, but almost no one can afford to employ such a teacher for them. If machines can handle the UX aspects of this graph-walking and graph-building for us (there are many simple ideas that fit into this), I believe we could have a real step change in learning efficiency with only modest investments in building such graphs. And the truth is, such graphs are actually fun to build because they are so interactive! It’s very similar to the semantic web, but catering specificity to humans and their idiosyncratic educational needs rather than to more nebulous things about machine reasoning or scripting.

So much good stuff in one post. I'm gonna go on a huge tangent bro!

I never loved Mathematics in high school, at least not the way we learn a bunch of things but never apply them or have any intuition about them, but I'm interested in it on personal level.

This is right up my alley.

Edit: forgot to say thank you!

Is there a way to save comments on HN? This is worthy of a save.

HN saves a list of your upvoted comments which you can view via your profile. This is private.

You can click on the timestamp and it will take you to a page for the comment where you can click 'favourite' which will be public to anyone who visits your profile.

Also, thank you!

you can book mark the comment link, or us HN and favorite the comment.

Tap on the date, click on favourite.

There's a "favorite" (sic) link that appears only when viewing the comment-tree rooted at that particular comment. You can get to that view by clicking the timestamp of the comment (obviously). (Or, in this particular case, clicking the "parent" link when viewing the comment-tree rooted at your comment, which is where you might be reading this, from your "threads" link).

These favourites are public and are linked from your user page (https://news.ycombinator.com/user?id=BRedSox), here (https://news.ycombinator.com/favorites?id=BRedSox)

A surprising number of HNers don't use this feature.

ha ha from the "sic" I can't tell if you object to the verbification of the word or if you're just British. Nice tip though. Had no idea about this feature.

Is there good material that covers advanced mathematics, ie, after multi variable calculus and algebra, but not primarily about proofs?

You might check out Penrose's The road to reality. I'm not sure it'll really serve, but it's what comes to mind.

patrickJMT is really great. I remember frequenting his channel when I was taking some math courses in college.

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