On Tue, Mar 9, 2010 at 11:11 AM, Daniel Ajoy <

[hidden email]> wrote:

Thanks for posting to edu-sig Daniel.

We could use a lot more of this kind of literature. This guy in

Austrailia is lightyears ahead of most bloggers I've read. I note

MariaD has already posted her appreciative comments.

That's Maria Droujkova, salonstress for our Elluminate session the

other evening, twixt the functional programmers and a couple

imperative types.

http://mybizmo.blogspot.com/2010/02/learning-on-line.html( Maria reminds me of Romany Marie, Queen of Greenwich Village:

http://coffeeshopsnet.blogspot.com/2009/03/serving-buzz.html )

On the topic of turtles, I'm using them to draw plane-nets in this post:

http://mathforum.org/kb/message.jspa?messageID=7007687&tstart=0They also come forward as illustrative of the object (instance) versus

type distinction, which is just a hair's breadth different from the

old philosophical distinction between ideal forms and their temporal

expression.**

If you scan the above post to math-teach, you'll see this passage,

especially apropos to threads here on edu-sig:

"""

> [b] Note that [2] is a discrete concept more or less, [3] is continuous MOL.

>

OK to play it this way. Length may be developed more discretely

if we need to. The literal pixels and voxels are discrete. Digital

computers, implementing these turtles, use discrete math.

This was one of my beefs with calling it Discrete Math instead

of Digital Math originally (talking about Track 2): they might

keep us from working with polyhedra if we called it discrete,

because polyhedra used to be considered "perfectly continuous

solids".

Giving them a purely digital treatment, on the other hand, such

as by rendering them with a ray tracer (POV-Ray), would not

bring us into conflict with those protecting Discrete Math from

"alien" topics. Digital Math would embrace Polyhedra.

As it turns out, you're able to get Polyhedra into discrete math

via graph theory (polyhedra (as wireframes) are simply graphs).

Litvins Math for the Digital Age has V + F == E + 2 in one

section, though most of its graphs are planar, like plane-nets.

In other words, my fears we're ill-founded and we'll be able

to make do with a Discrete Math labeling for Track 2. YMMV.

"""

Autobio:

For those of you just joining us, I'm a long-time activist on edu-sig

with my own quirky agenda:

0. to advance more computer programming in the context of high school

math learning especially (I used to be a high school math teacher,

after working under Dr. Rorty on the Wittgenstein stuff (he coined the

term "linguistic turn"), later at McGraw-Hill in computer literacy,

more recently a trainer with Saturday Academy (saturdayacademy.org),

attending that luncheon tomorrow @ Oregon Zoo (no kidding));

1. to advance a streamlining approach to polyhedra based on what I

sometimes call "tetrahedral mensuration" inheriting from the work of

an American Transcendentalist philosopher some of you may have heard

of, but thought he was an architect. To this end, I've been using

Python + VPython, and Python + Povray especially.

I've been a controversial figure in the Python community, consider

myself lucky and privileged to be with PSF. Chairman Steve and I did

some great work during Pycon 2009, however I missed Pycon 2010

entirely, needing to mind the fort in my zip code area (97214). My

company, 4D Solutions, sponsors the Oregon Curriculum Network, which

has championed Python for some decades. Check:

http://www.4dsolutions.net/ocn/cp4e.htmlKirby

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** Do I think the object oriented shoptalk "just happens" to sound

philosophical by accident? Does anyone I wonder?

On the contrary, isn't it obvious that OO was deeply embedded in

ordinary language to begin with? We already think in terms of

"things" with behaviors and attributes. We already think in terms of

the generic dog or horse (as a concept), versus the individual

manifestations of this animal, each in its own time and place.

Since the so-called "linguistic turn" in philosophy, we're respectful

of the "ordinary language" roots of anything -- a pretty radical

change from the old days, when "meta-physicians" ruled the roost.

( I should reintroduce myself as some guy who studied Wittgenstein's

stuff at Princeton. Gregor, our resident turtle-meister (Standard

Library) has sent me some links about that, such as to pictures of the

house Wittgenstein designed in Vienna, for his sister I think it was.

Very austere and simple, not unlike his writing in some ways. )

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