A partial index of discussion notes is in
http://www.cs.bham.ac.uk/research/projects/cogaff/misc/AREADME.html
An example from mathematics
What's a prime number?
We stick to positive whole numbers (PWNs), e.g. 1, 2, 3, 4, 5, ...
Two PWNs, N1 and N2, can be multiplied, producing a PWN as result, which may be
the same as one or other of N1 or N2, or different.
Multiplying gives
2 and 3 6
4 and 3 12
3 and 3 9
The results on the right can easily be checked by testing with groups of
physical objects (e.g. buttons, stones, bananas) or items drawn on paper
e.g. circles, dots, pictures of bananas, etc.
Why does multiplying 2 and 3 give 6?
You can demonstrate with examples, where each example has 2 groups
of objects and each group contains three objects, like these two
groups:
Group Number of groups result
x x x x x * * * * * *
Some numbers can be factorised, i.e. shown to be products of smaller numbers.
Maintained by
Aaron Sloman
School of Computer Science
The University of Birmingham