Teaching Mathematics – Graph Theory (2011)

I agree that teaching mathematics too formally prevents students from making concrete connections. I like how the OP made the abstractions intuitive. And made the jargon less intimidating.

As far as the 'mathematician's lament' goes though, I think all that is needed is for our culture to foster greater respect (and potentially payment) for teachers. If someone can put passion into their work, these successes tend to arise naturally.

I haven't even read the article cause my laptop is gonna DIE soon.

I just wanted to say that graph theory is very beautiful and helped me to understand linear algebra in a much more intuitive way than "kernels and images" in college precalc. Directed graphs are wonderful representations of maps, linear or not.