"A ‘newbie’, in Haskell, is someone who hasn’t yet implemented a compiler. They’ve only written a monad tutorial" - Pseudonymn
Let's start with a story...
Young Alice and her father (who happens to be a mathematician) are visiting a petting zoo...
Alice: Look at those kitties.
Daddy: Aren't they cute. There are two of them.
Alice: Look at those doggies.
Daddy: That's right. Can you count? There are two doggies.
Alice: Look at those horsies.
Daddy: Yes darling. Do you know what the kitties and doggies and horsies all have in common?
Alice: No. Nothing in common!
Daddy: Well, actually they do have something in common. Can you see what it is?
Alice: No! A doggy is not a kitty. A horsie is not a kitty.
Daddy: How about I explain for you? First, let us consider a set S which is strictly well-ordered with respect to set membership and where every element of S is also a subset of S. Does that give you a clue?
Alice: [Bursts into tears]
No (sensible) parent would ever try to explain how to count by starting with a formal definition of ordinal numbers.
So why is it that many people feel compelled to explain a concept like monads by emphasizing their formal definition?
That might be fine for a college-level math class, but it plainly does not work for regular programmers, who just want to create something useful.
As an unfortunate result of this approach, though, there is now a whole mystique around the concept of monads. It has become a bridge you must cross on the way to true enlightenment. And there are, of course, a plethora of monad tutorials to help you cross it.
Here's the truth: You don't need to understand monads to write useful functional code. This is especially true for F# compared to say, Haskell.
Monads are not a golden hammer. They won't make you any more productive. They won't make your code less buggy.
So really, don't worry about them.
So this is why I won't be writing a monad tutorial. I don't think it will help people learn about functional programming. If anything, it just creates confusion and anxiety.
Yes, I will use examples of monads in many different posts, but, other than right here, I will try to avoid using the word "monad" anywhere on this site. In fact, it has pride of place on my list of banned words!
On the other hand, I do think that you should write a monad tutorial. When you try to explain something to somebody else, you end up understanding it better yourself.
Here's the process I think you should follow:
The key point is that you have to do it in this order -- you cannot jump straight to the last step and then work backwards. It is the very act of working your way through the details that enables you to understand the abstraction when you see it.
Good luck with your tutorial -- I'm off to eat a burrito.