[Maths-Education] Re: ICT in mathematics

[Alexandre Borovik]

On 09/03/2011 09:07, Candia Morgan wrote:
 > Or if someone needs pencil and paper to solve a problem
 > they have learnt using pencil and paper not mathematics?
 > Different media allow different forms of mathematical
 > activity and thinking. Conventions and power
 > (including assessments) determine which of the
 > possible forms are valued.

There is a natural hierarchy of human modes of communication. In 
mathematics, the most important is the most ancient, voice.  Chalk on a 
blackboard, penicil on paper are just assistive tools for human speech.

It is worth noting that, despite all the technological progress, 
teachers are still using speech in teaching, but (at least university 
teachers in this country) do not teach their students to talk about 
mathematics. It is perfectly possible to get a good university degree 
without ever opening mouth.  This is one of the main flaws obstructing 
the cycle of reproduction of mathematics in this country. (The situation 
is different on teh continent, where many countries still stick to the 
tradition of public oral examinations).

Alexandre
-- 
Professor Alexandre Borovik * University of Manchester
Web:       http://www.maths.manchester.ac.uk/~avb/
Wordpress: http://micromath.wordpress.com/
Academia:  http://manchester.academia.edu/AlexandreBorovik