Thank you so much for reading that paper and writing this comment.
There definitely are resources that I can recommend. Can't do this at the moment (work awaits!), but will come back to this in the evening.
One book that did a lot for me was What Is Mathematics?[1] by Courant and Robbins. Godel, Escher, Bach[2], while not strictly a math book (and not a book I actually finished reading), was another. These would be my go-to recommendations without thinking much.
There are also many more playful mathematics books that might be an even better fit for what you want, but I'd need to go through my bookshelf to pick some.
> It wasn't until after collage that I stumbled across some gifs showing how/why various formulas in geometry are what they are, and I was really upset that those types of things weren't shown in school.
There definitely are resources that I can recommend. Can't do this at the moment (work awaits!), but will come back to this in the evening.
One book that did a lot for me was What Is Mathematics?[1] by Courant and Robbins. Godel, Escher, Bach[2], while not strictly a math book (and not a book I actually finished reading), was another. These would be my go-to recommendations without thinking much.
There are also many more playful mathematics books that might be an even better fit for what you want, but I'd need to go through my bookshelf to pick some.
> It wasn't until after collage that I stumbled across some gifs showing how/why various formulas in geometry are what they are, and I was really upset that those types of things weren't shown in school.
I know, right? Me too.
BTW, if you have ever stumbled into this one:
https://www.reddit.com/r/math/comments/g15ei/tan_demystified...
...I made it for that exact reason. I need to come back to this stuff.
[1] https://en.wikipedia.org/wiki/What_Is_Mathematics%3F
[2] https://en.wikipedia.org/wiki/G%C3%B6del,_Escher,_Bach