Philip Wadler's original paper on Comprehending Monads [PDF]: https://ncatlab.org/nlab/files/WadlerMonads.pdf
Philip Wadler and Simon Peyton-Jones' paper on Imperative Functional Programming [PDF]: https://www.microsoft.com/en-us/research/wp-content/uploads/...
Simon Peyton-Jones mentions both papers and talks about why monads came to be part of Haskell in his talk on the history of Haskell here, with examples that are a little more accessible than the above papers: https://www.youtube.com/watch?v=re96UgMk6GQ [introduction to purity and then monads starts around 30:07]
It's a funny talk and it's worth watching in full, but here's a nice soundbite:
“So what did we do for IO? Well, we just didn't have any. [audience laughs] So the joy of being an academic, right, is you can design a language — in 1990, I beg to inform you — that had no input/output. A Haskell program was simply a function from string to string. That was what it was. … But this was a bit embarrassing…”
He goes on to talk about other ideas they explored to create effects, why they settled on monads, and why he wishes now they had called them something like “workflows” (as F# later did[1]) to make them sound less intimidating.
(Simon and Philip will both be at Haskell Exchange 2019 in London this coming week if anyone else, like me, enjoys spending two days as the dumbest person in the room: https://skillsmatter.com/conferences/11741-haskell-exchange-... )
[1]: https://blogs.msdn.microsoft.com/doriancorompt/2012/05/25/7-...
This is key. I've tried to write a "Monads in JavaScript" article many times over the years, but it's pointless, because you have to preface it with 100 imaginary constraints.
Another good analogy might be learning circular breathing for ordinary everyday conversation.
You might hear the circular breathing is an amazing thing that allows you to do things you couldn't otherwise do. If you are trying to use that trick without ever learning to play an instrument then there will be a great air of mystery to it all.
Monads solve problems that are only made apparent by other design decisions in Haskell. In a non-functional, loosely typed context they are not so useful.