Date: Mon, 22 May 2006 12:55:48 -0700 To: firstname.lastname@example.org From: "kirby urner" <kirby.urner@...> Subject: More re Pythonic mathematics
The point is to go OO within a mathematics ecology, and to write blueprints for such as: polynomials, polyhedra, vectors and quaternions. Or just start with a basic rational number class, which is pretty much what I do, along with integers modulo something. And I really start outside of Math World all together, more in a jungle of Mammal subtypes and so on. I'm into furry-friendly. I just don't want to put off the harder edged stuff indefinitely. So we graduate to a more Platonic level and look at dot and cross products, group properties and what have you.
It's in the Polyhedra module (Pythonic again) that I phase in Fuller's designs for relative scaling, letting the Tetrahedron really do its job. This may involve labeling 26 vertices with A-Z. Those will be vectors in a dictionary, to be referenced to by face-tuples. From face-tuples, we distill the edge-tuples (uniquely or in pairs). Quaternions might drive their rotations and so on.
So that's the initial synergetics <-> public grade school curriculum bridge: from "math objects" in general (as implemented in some free open source language), zoom in on polyhedra in a pre-arranged garden, with everything cut to size. Nor did I bother to mention the five-folders yet, and our internal jitterbug. But this is synergeo, and so all of that is considered old hat.
I've field tested a lot of this at one of our flagship grade schools in Portland, as well as through a more privately funded vehicle in these parts (23 years and counting). So I know it all works pretty well. This is what I shared about in London, on that Quicktime video (BFI has a link somewhere). I also talk about how the police have a share in the action (stories about Hillsboro, West Precinct).
But other teachers will tell different stories. This isn't about my stories in particular, although I do enjoy great adventures, but about a more generic framework wherein many stories get told. The OO approach gives us a handle on the story of computer languages, right back through hardware to Ada and Babbage. The concentric hierarchy off-shoot gives us entre into recent American History, wherein a bumpy patch coincided with design science getting up to speed, and now we're feeling groovy or whatever. So where does Napoleon Dynamite fit in?
I have a lot of family flying in this week, including mom in just a few hours. We're booking into hotels and stuff too. I won't be doing a lot of new posting for awhile probably, at least not in synergeo, but I do enjoy monitoring when slacking.