Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: PI
Posted:
Nov 27, 2009 1:38 PM


On Wed, Nov 25, 2009 at 8:35 PM, Robert Hansen <bob@rsccore.com> wrote: > Many of you have probably already seen this... > > http://pi.ytmnd.com/ > > My son is having a lot of fun (and frustration) trying to keep up with this song. My interest in it isn't so much the memorization (though you can't escape that) but the fluency with patterns of digits, the short sequences or 2, 3 or 4 digits within the whole sequence. It also helps reenforce that "10" isn't the "digit" after nine. Neither of us will be able to breath and sing this continuously though.:) >
Yes this is a somewhat hypnotic song and Pi should feel lucky to have the attention of such talented vocalists and composers. To whomever is behind this, hats off to ya (Quakers do doff their hats, just like to do so willingly, not just cuzza whatever naked emperor makes his thugs demand it...).
Happy Thanksgiving (the day after).
I'm in the Pacific Northwest region enjoying a sunny day.
I've discovered the WikiEducator group is very committed to liberal ideals of free and open, i.e. the teachers putting their content out on this forum are relinquishing copyrights to some extent. However, to be in a position to do this implies having the rights in the first place to do so, so as a teacher and source, one gets some authority just for getting it out there as original work in a copyable way.
The current design is to invent a taxonomy for linking digital math topics, much as a theme park sets up thematic areas (e.g. Disney's EPCOT has Tomorrowland opposite side of the lake from yesteryear's nationstate sovereignties  a supranational view, with Spaceship Earth at its center).
The other feature is propagation by faculty networking i.e. one exerts rights of authorship to showcase mastery of Web 2.0 tools, develop a portfolio, demonstrate proficiency, creative potential or whatever. In other words, if you're a math teacher, you have an opportunity to make a name for yourself by authoring lesson plans, contributing resources, to a shared curriculum framework.
Notice that I'm not proposing some national standards or even state standards, although it would be easy to align with these on many levels. I'm discussing a framework for getting teachers on board with a digital math track through the high school years, extensible in college, which covers an assortment of discrete math topics, including: spatial geometry (polyhedra as graphs, includes trig); statistics (includes the chaos stuff, fractals); set theoretic and alphanumeric (at least a dab of SQL); historical perspective (ethnomathematics, time dimension).
This is not just a lot of fluff. The algebra does a lot more with abstract algebra concepts in the context of introducing "math objects" in an extensible type system. By "type system" I mean something expressed formally enough to permit machine execution i.e. we're using (mostly open source) logic running on chips, consider programming languages legitimate math notations that happen to be runnable (executable).
This is also mostly familiar territory, except some of the spatial stuff, even though there's little trace of the Alg, Geom, Alg2, Calc sequence of analog math. The reasons for this are mostly political in that those with Web 2.0 skills tend to be computer science based, more ducks to water in the digital realm. Lobbying in favor of including more computer work in high school conducted by Silicon Forest entities (e.g. ONAMI, TechStart/SAO etc.) were about getting Oregon in the mood to pioneer some new content. August 7 was one of our launch dates, looking ahead to next year (I shared more details back closer to that date, using my alumni.princeton moniker).
Back to Pi: wethegnumathteachers also put a lot of emphasis on Phi. We get to phi through the Fibonacci Sequence, as the ratio of the pentagon's diagonal to edge, as the golden mean in the golden cuboid (brick shape) etc. Which reminds me, I need to phone David Koski today (his dissection of the golden cuboid into Kmodules form a bridge to the Tmodules, same volume as A,Bmodules (linking to a longrunning thread (T,A,B modules are tetrahedral slivers of different shape but all with a volume of 1/24 in this system of volumetric accounting)).
Thanks again for the link to that musical rendition, appreciated. I had visited but not for a long time and I'd just been proposing on this list in another thread with Jonathan Groves that music and "pure math" keep pace, as a rule of thumb.** Here's a perfect example!
Kirby
** http://mathforum.org/kb/message.jspa?messageID=6910745&tstart=0
  >>> from mars import math http://www.wikieducator.org/Martian_Math



