Ok, take math. The Waldorf argument went something like this: "Little children can't absorb abstractions so we don't teach math until they're ready." The Montessori argument goes like this: "Little children can't absorb abstractions so we teach math by making it concrete. We don't introduce the abstractions until they're ready."
There was a lot of that agree-on-the-facts-but-reach-different-conclusions. The conversation would go "Yeah, sure. Yup. Yup. WTF?"