In general you can find videos on youtube of talks given at various industry functional programming conferences that often help since they start from the industry programmer point of view rather than the pure maths one.
I would recommend "Seven Sketches in Compositionality", as it does not progressively get harder, but each chapter starts off very easily. So you can catch up, if you got lost.
A cursory glance gives me this: http://www.cs.nott.ac.uk/~pszgmh/cat.html
Which seems to avoid being very "mathy" right out of the gate, though I can't tell its quality.