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Re: [Fwd: LOGO-L> ideas needed!!!]



In-Reply-To: <x73ermroog.fsf@shannon.neuwirth.priv.at>
konrad wrote:

> Turle Geometry is not pencil-and-paper geometry in the sense that it 
> gets you to think along the way that is taught as classical geometry in 
> schools.  For me, that would mean that you have a ruler and a compass 
> and can work with those.

If you think about it, Turtle Geometry uses only the ruler and protractor 
from your school geometry set. These are the only two instruments in the 
box with numbers on them. Turtle Geometry is, therefore, a restricted 
(numerical) subset of classic school geometry.

> One could always resort to SETXY or something like that, but that's not 
> really Logo to my mind. 

Which is the problem with Turtle Geometry encapsulated within a single 
sentence. Logo and Turtle Geometry are separate entities. Turtle Procedure 
Notation may be implemented in any computer language. Indeed, I have just 
received another Turtling program called Zeno produced by the Institute of 
Computer Based Learning at The Queens University Belfast 
(tltp@reddwarf.qub.ac.uk). Logo is much, much, much, much more than this.

> Also,the process of mathematics /is/ caried out in the mind regardless 
> of what you use as your tool; be that computer, paper, a stick and sand
> or whatever. ....  I don't believe that the computer challenges this,
> and I don't believe it should.  
 
Which is where the model of the computer I find useful clashes with your 
belief system. It is self evident that before we had calculators the 
process of addition could only be represented in the mind. Since we 
developed the computer we have been able to represent this process in an 
external medium. It is for this reason that I hold *mathematics* to be in 
need of reform. 

Micheal O Duill
EuroLogo Scientific Committee Chairman

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