Das Kalenderblatt 090703

02/07/2009 - 20:55 von WM | Report spam
Alexander Zenkin: OPEN LETTER (3. Teil)

Today the situation is further aggravated. The Vice-President of the
International Mathematical Union, Academician of the Russian Academy
of Sciences, outstanding mathematician and mathematical educator,
professor Vladimir I. Arnold of Steklov Mathematical Institute
(Moscow) in his numerous papers of the last decade again tries hard to
attract attention of mathematicians and educational community to the
catastrophic situation in modern mathematics and mathematical
education. The main reason is the same one – a (today already) global
super-formalization or, using his term, “bourbakization” [...] of the
modern mathematics as a whole (see, e.g., V.I. Arnold, "International
Mathematical Congress in Berlin." [...])

“Our brain, - writes Arnold , - has two halves: one <the left-
hemisphere> is responsible for the multiplication of polynomials and
languages <i.e., for the abstract, formal, rational thinking>, and the
other half <the right-hemisphere> is responsible for orientation of
figures in space and all the things important in real life <i.e., for
the intuitive, visual, creative thinking>. Mathematics is geometry
when you have to use both halves.
In the middle of the XX Century, a [...] mafia of “left-hemispheric”
mathematicians could exclude geometry from mathematical education
(firstly in France, and then in other countries), replaced all
informal aspects of this discipline by a training in a formal
manipulation with abstract “notions” <i.e., with empty names, terms,
symbols, etc.>. All geometry, and consequently all connection of
mathematics with the real world and with other sciences was excluded
from mathematical education.
Such the “abstract” description of mathematics is unfit neither for
education, nor for any practical applications.
…Compelling miserable schoolboys/girls to learn such <formalized
mathematics>, “left-hemispherical criminals” created a modern
distinctly negative attitude of society and governments to
mathematics.
…The aversion to mathematics which government ministers, exposed to
such the experience of such the education in school, have is a healthy
and valid reaction. Unfortunately, this their disgust spreads on all
mathematics without exclusions, and that can kill it as a whole”.
... these “left-hemispherical invalids” were able to cultivate whole
generations of mathematicians that don’t understand any other approach
to mathematics and are able only to teach next generations by the same
way.
… It is awful to think what kind of pressure the Bourbakists put on
(evidently nonsilly) students to reduce them to formal machines! This
kind of formalized education is completely useless for any practical
problem and even dangerous, leading to Chernobyl-type accidents. [...]
… Modern formalized (bourbakized) education in mathematics is an
exact antithesis for teaching the critical thinking and the true
scientific foundations of mathematics. Such the mathematical education
is dangerous for a humankind as a whole”.

Schluss folgt.

Gruß, WM
 

Lesen sie die antworten

#1 Peter
03/07/2009 - 01:16 | Warnen spam
On 2 Jul., 20:55, WM wrote:

… It is awful to think what kind of pressure the Bourbakists put on
(evidently nonsilly) students to reduce them to formal machines! This
kind of formalized education is completely useless for any practical
problem and even dangerous, leading to Chernobyl-type accidents. [...]



Na also. Jetzt ist also Bourbaki auch noch an Chernobyl,
bzw. an 'Chernobyl-type accidents' schuld.

Herr Professor Mückenheim,

kann man wirklich so eine weiche Birne haben solch
einen Stuß^3 zu schreiben? Chernobyl wurde von Ingenieuren
verursacht, die konditioniert waren Alarmsignale
zu ignorieren. Sie sollten das wissen und sich nicht
zum Büttel zur Verbreitung von solch genauso falscher
wie übler Desinformation machen. Glauben Sie wirklich,
dass auch nur einer der Ingenieure von Chernobyl eine
Bourbakische Mathematik-Ausbildung genossen hat?

Warum tun Sie das? Sie verletzen hier wirklich Ihre
Verantwortung, die Sie als Professor haben, mehr, als
Sie es je mit einer unüblichen mathematischen Definition
könnten.

Es ist eine reine Hetzrede, die Sie hier hereingestellt haben.
Der Ayatholla in Ihnen ist wieder einmal durchgebrannt.

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