What I mean is, they can easily be used as monads - and in fact every Excel user might do so without even knowing what a monad is. Like 41 is used in commutative expressions all the time by people who don't even know what communitivity or associativity mathematically is and that is a good thing! It means its useful and intuitive!
That's why I wish we could throw out the Math, if we can't even use Monads without mathematically knowing they are Monads then no one is ever going to be using them. There must be a way that these patterns can become so intuitive, like Pipes (weak) and Excel (strong) that they speak for themselves and become tangible.