Ohai! Thank you! I had been daydreaming about something along the lines of the last one you showed when we first brainstormed about our early math stuff last fall…

…but had only gone as far as keeping the periods fixed, but with a similar spirit of seeing periodic artifacts in the number grid (and a minimum of 100 elements just to nail the visual periodicity home a bit more).

I’d wanted to have it facilitate a kind of “number weaving” – was hoping to layer various combinations of the periodicity to relate back to things along these lines, but haven’t had a chance to dig in (maybe that means I shouldn’t mention it yet? I am unsure of this mailing list’s completeness-of-thought etiquette.)

> On May 1, 2015, at 7:37 PM, Bret Victor <****************> wrote: > > I thought it might be interesting to animate the moving numbers, so you can see where they're going. > > http://worrydream.com/NumberGrid/ > > Move the mouse left and right. > > >> On May 1, 2015, at 6:53 PM, Toby Schachman <****************> wrote: >> >> Hi May-Li, >> >> I was thinking about the prototypes you showed me about understanding the concept of number. Inspired by that, and your principle of the learner controlling the educational artifact rather than the other way around, I made a prototype of a rectangle of numbers that you can adjust to see the periodicity patterns formed when there are different numbers of rows and columns, like so: >> >> >> >> live demo (Chrome) >> https://dl.dropboxusercontent.com/u/1802603/web/snapshots/2015-05-01-apparatus/index.html?snapshot=-JoH9Zfo1BKqDav9GkVA >> >> The idea is to hint at the structure behind the number system. Hint at the existence of a more powerful understanding of number that can be used to generate other concepts about number. >> >> >> I also tried a version where each number is colored uniquely (kind of haphazardly). >> >> <image.png> >> https://dl.dropboxusercontent.com/u/1802603/web/snapshots/2015-05-01-apparatus/index.html?snapshot=-JoHCkJ4-u1xLCNgtkqH >> >> But I think the arbitrary color obfuscates the structure, at least with the coloring system I made (which has periodic artifacts). Maybe adjustable color could be used to show a third periodicity. >> >> >> >> https://dl.dropboxusercontent.com/u/1802603/web/snapshots/2015-05-01-apparatus/index.html?snapshot=-JoHE_F8cEVXIT1TSJCb >