That's what math has always been about, even if not everyone is necessarily as talented a communicator as someone like Thurston -- who was himself an exponent of computational tools in math research:

>I think of mathematics as having a large component of psychology, because of its strong dependence on human minds. Dehumanized mathematics would be more like computer code, which is very different. Mathematical ideas, even simple ideas, are often hard to transplant from mind to mind....Translation in the direction conceptual -> concrete and symbolic is much easier than translation in the reverse direction, and symbolic forms often replaces the conceptual forms of understanding....

https://mathoverflow.net/questions/43690/whats-a-mathematici...