Would anybody be interested in a series of primers on HS maths topics?

Question

So with my exams coming to an end and a rather long summer beginning, I wanted to put my time to good use and work on something that people find useful.I've come across various HN posts where folks said they were trying to relearn maths from school that they missed out on due to poor teachers/resources etc.I love pure maths and over time I've learnt gained a strong intuition for high-school level calculus and analysis so I figured I should put my knowledge to good use and create a series of blog-style posts(which will be free because I'd like to make this available to everyone I can) which will teach ideas in a rigorous and complete way while still being accessible.So I guess I have two questions:A) would you be interested in such a thing? B) if so, what are the sorts of topics you would like to see?

ColinWright · Accepted Answer

This comes up again and again, and I think absolutely there is space in the world for a site that takes people through some of the basics,and then iteratively deepens. I'd be happy to provide supplementary/complementary material where appropriate.
Part of the problem is that people don't know what they want. Another part of the problem is that people ask about really advanced things that they are not ready for, and where they don't have time to dedicate to learning the basics.
So you have a challenge with what to include, how to arrange it, how to get people hooked,and how to get them to put in the sustained effort needed to gain a genuine understanding, rather than a superficial "I know what's going on."
For your own interest ... what would you start with?
People seem to like the idea of studying (or more accurately, to have studied) Linear Algebra, and perhaps Graph Theory.
I wonder what else ...

mindcrime · Answer

A) yes, absolutelyB) whatever you feel like talking aboutOn related note, you might consider participating in the Summer of Math Exposition competition[1].[1]: https://3blue1brown.substack.com/p/some3-begins

latexr · Answer

I remember a teacher in ninth grade warning students who up to that point found maths to be easy without studying: that would no longer be the case. From anecdotal memory, I think what happened was a shift from real problems to abstract concepts. Up until then maths problems had been rooted in the real world and could be solved with logic, but suddenly there were graphs and asymptotes and cosines and a bunch of other stuff without a clear connection to their usefulness to the world.
High school teachers didn’t fare better. One of them, when we were learning statistics, said there was no way we’d be able to complete the given homework on our own without a tutor. On the contrary, it was the most enjoyable and approachable maths had been for years. Finally something which connected to the real world again.
In retrospect, I think I had a string of mediocre teachers which sapped my excitement. As an adult I watched two second gif loops which clicked in my head ideas which weren’t made clear by previous explanations.
To answer your question, I’d be interested in analytic geometry and any concepts which would related to computer graphics.
Where would you post? Is there a feed we could subscribe to?

throwawayadvsec · Answer

A) Hell yeahB) Prerequisites to Machine Learning math(so prerequisites to Linear algebra, multivariate calculus and "advanced" probabilities/statistics)B.2) it would be best if it's only the prerequisites to ML math and nothing else

sn9 · Answer

Just write it and share it and see if anyone finds it useful.The people who need it most probably won't know what to ask for.

the__alchemist · Answer

I would review Khan first, and compare what value you'd like to add compared to it.

Would anybody be interested in a series of primers on HS maths topics?

A) yes, absolutely
B) whatever you feel like talking about
On related note, you might consider participating in the Summer of Math Exposition competition[1].
[1]: https://3blue1brown.substack.com/p/some3-begins

A) Hell yeah
B) Prerequisites to Machine Learning math(so prerequisites to Linear algebra, multivariate calculus and "advanced" probabilities/statistics)
B.2) it would be best if it's only the prerequisites to ML math and nothing else

Just write it and share it and see if anyone finds it useful.
The people who need it most probably won't know what to ask for.

I would review Khan first, and compare what value you'd like to add compared to it.