Re: Edu-sig digest, Vol 1 #638 - 9 msgs
If you want a guinea pig - try me: I could benefit from a decent math education and I'd be upfront in giving you feedback!!
I'm horribly predictable. THE THIRTEEN BOOKS OF EUCLID'S ELEMENTS translated from the Text of Heinberg with Introduction and Commentary by Thomas L. Heath Second Edition (orignally published 1908) In print Dover Publications, Inc. Just get through Books 1 & 2 - with the commentaries, and *doing the constructions*. The fact that you already know the substance of what you will encounter there from other sources, does not alllow you to opt out of this as a prerequisite. In other words, it's quite possible that you have already seen the movie version. Doesn't count. Kirby, I'm quite sure, would disagree with this advice, BTW. I don't really know what he would consider as a prerequisie. Art
At 02:26 PM 1/25/2003 -0500, Arthur wrote:
Kirby, I'm quite sure, would disagree with this advice, BTW.
I think you're abdicating -- he wanted *us* to try teaching math, not a long dead dude. How do you do Euclid's Elements in PyGeo? Can be done, yes? Kirby
I found Python,Numeric, & VPython. I didn't write them. Euclid may be long dead. But he's still part of my toolkit. Art ----- Original Message ----- From: "Kirby Urner" <urnerk@qwest.net> To: "Arthur" <ajs@ix.netcom.com>; <edu-sig@python.org> Sent: Saturday, January 25, 2003 4:59 PM Subject: Euclid
At 02:26 PM 1/25/2003 -0500, Arthur wrote:
Kirby, I'm quite sure, would disagree with this advice, BTW.
I think you're abdicating -- he wanted *us* to try teaching math, not a long dead dude. How do you do Euclid's Elements in PyGeo? Can be done, yes?
Kirby
How do you do Euclid's Elements in PyGeo? Can be done, yes?
Yes, and no. PyGeo is really built to explore more modern notions of geometry. Notions of length, area, and to a good extent shape are not invariants in projective space, or non-euclidan space - and so are not of the essence when studying those kinds of geometries. So not a lot is done with those notions in PyGeo - at least in how I use it. Those notions are more significant in Euclian space. Plus, no need to reinvent the wheel: http://aleph0.clarku.edu/~djoyce/java/elements/elements.html has the complete Elements up, with essentially all the constructions as dynamic Java applets. Using the applets are great to explore a construction *after* one has done that construction by hand, IMO. We can get into a whole discussion about the use of technology in education. To the extent it has been scientifically studied, the evidence is that the heavy use of computers in the classroom = a slight detriment to student advancement. No evidence of a major +. I'm believing that it is too easy for someone to slip into passive mode, and out of learning mode - in front of a screen. There is only one way to build a construction in PyGeo. By the deliberate act of writing a script. The mental process is much closer to that of building by hand - then for example it would be using a GUI. And that is how I want it to be. The important thing is that it does things you can't do on a piece of paper. Like simulate the working in 3d space. In that way - by doing something that it is hard or near impossible to do without it - it employs technology for educational purposes. The Euclidian constructions are generally simple enough to do on paper with a ruler and compass. I see no reason, really, to do them any other way. Art
participants (2)
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Arthur
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Kirby Urner