A better user interface for math (2011)

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

Sounds like an awesome idea. I think that you're not the only one "good at math" that "sucks at arithmetic"; I think it's a common thing. :) For this to work out, there has to be someone with a real, intuitive vision on numbers who can actually explain it to someone else. I suppose that's the hard part. To start something, we've been using the decimal system for such a long time; would it maybe be interesting to research how other bases work out when taught to people, preferably children? That would quite hinder their progression in "normal", decimal arithmetic, though, so it would be quite unethical...

Nice video. I create similar diagrams with Geogebra, https://www.geogebra.org/. What I like about Geogebra is (1) it's free and (2) I can build interactive diagrams without having to do any computer coding. I encourage students in my Calculus and Statistics classes to use it to explore ideas for themselves.