Who developed the concept of ICE tables? Many general chemistry courses (at least in the US) or online tutorials solve problems of chemical equilibrium by using ICE (sometimes RICE) tables, which track how the moles of reactants and products change going from an initial state to equilibrium. 

I'm curious when this technique became so widespread and who developed it? My understanding is that ICE tables are a somewhat modern pedagogical tool, but I have yet to find a source for the idea and when it was popularized.
As expected the concept of equilibrium calculations is more than a century old idea. The algebra has not changed. Check internet archives for classical general chemistry textbooks to see how equilibrium calculations were done in 60s-70s. If you are specifically looking for the representation of "initial, change, equilibrium" tables, this is also four decades old. Books from the early 80s used this approach. See for example "Chemistry with inorganic qualitative analysis" by Thenard (1980). These days everyone likes to coin fancy acronyms and words. Gold colloids became gold nanoparticles, and "initial, change, equilibrium" became ICE!