[dtj1123]

I recently started Introduction to Probability theory by Blitzstein and it feels a lot like what you're referring to.

The author introduces something called 'proof by story', where instead of just running through algebra to prove equivalence of two expressions, you describe a single physical scenario in two ways that each intuitively correspond to the two expressions. I've never seen maths done this way before, but I have to say it works brilliantly.

[hamburgererror]

Thanks a lot for the reference, sounds a exactly what I'm looking for!