Thanks for sharing this post. Bret mentioned this in his "Media for thinking unthinkable" talk that Mathematical notation itself is a great tool for making mathematical structure visible. They are like user interface, it tell things that language can't express. The birth of mathematical notation is considered to be birth of modern mathematics. With dynamic media provided by computer, there should be a better way to dynamically represent mathematical structure. With that in mind, I would also recommend Evan Miller's comment's on Bret Victor's "Kill Math" article called "Don't Kill Math". Evan empathize that besides dynamic simulation, we should also embrace "theory and calculation" to see the underlying structure.
http://worrydream.com/MediaForThinkingTheUnthinkable/ http://www.evanmiller.org/dont-kill-math.html