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Re: Re: OOP in Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg29038] Re: [mg29032] Re: OOP in Mathematica
• From: Vladimir Zahoransky <zahorankonf at pobox.sk>
• Date: Sat, 26 May 2001 21:53:29 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi all!

  Here is one idea, which I think is very helpfull. In my deep study in 
formal epistemology I found something interesting. Scientific patterns. If 
you know Martin Fowler's bestceller (book) - Analytical patterns, then you 
know how powerfull are analytical patterns in software engeniering. I 
intensivlly studied it and found that this idea can be translated to 
mathematics, to mathematical development. Well, classical learning is just 
understanding all mathematical facts which teacher send you. Or less, 
memorising it. The problem is, you are doing nothing in learning 
development. You have final nice structure which is very hardly 
changeable. Problem is modularitiy. If you change something then this 
change take change in too large on matherial. SI can solve this.

   If we use this, then learning will be more progresive. You will have 
the frameworks which want to adapt to you, not you to prepared structure! 
This is possible if is OOP very good prepared, very good designed. This 
mean, if you study calculus, there is very importent understanding 
mouth "calculation trics", whay use it, where use it. (in integrals, for 
example Integration sin^2(x)) Other aspect is structuralism. If you have 
study the algebra structures, you do not know, whay muth you study it. The 
teacher tell you nice sentences - if we carefully study it (for example 
groups), then we muth not study for all examples. The sentences are 
correct and tell you for all. (for example subgroup from (Z24 +)

   This is nice, but what is the principe? The principe is 
structuralisation. This is the style in mathematical meaning which is 
looking to structuralise the problem, found the structures and then work 
with this structures. Calculus have other strategy. Look to zero change. 
This is use in physic. Look to zero change and this present the power of 
mathematical analysis in physic in differential equisions and other. This 
strategies can we use not here for this fact, but in other, in other 
aplications. If will we have good presentation of this styles (scientific 
styles) then we can working with "math" how will the styles will be 
patterns (template) for research. This is possible if we have very good 
OOP representation in Mathematica software. And here I want do something 
with Mathematica developers. I thing the scietific styles can help for 
mouth students !!!



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