Alan

You ask whether Bill's Physics Activity suggestions have anything to do with 
real science. You rightly point out that the Physics Activity is an imperfect 
simulation of the real world and just as mysterious. Certainly playing with the 
Physics Activity is not the best way to discover how the real world works. 

You draw the distinction between real maths and real science. Bill's 
suggestions work if you think more like a mathematician than a scientist. We 
study complex numbers and transfinite numbers even though they aren't real 
world. Root(-1) isn't real world but its a useful abstraction to study.

Maths is the study of rule-based systems. Some of the maths isn't that useful 
in itself but the ability to understand and think in that system is a valid 
educational goal. It strengthens the ability to think in other rule-based 
systems.

The Physics Activity has its set of rules and Bill's activities encourage 
students to discover these rules, to think more deeply about them and to 
compare them to the idealised maths which is used to describe the real world. 
It may not be a good way to understand the rules that govern the real world but 
it is a good way to do a scientific study of a microworld which is governed by 
its own set of rules.

Surely testing and discovering the rules which govern a microworld strengthens 
our ability to understand other rule based systems including real world physics?

Some advantages of this microworld:
Its engaging
Setup and cleanup are easy
Bills suggestions are suitable for self-directed learning
The cycle time to test a hypothesis is short, more time for cognitive conflict 
(deep thinking)
With simulations you can perform experiments that are unsafe in the real world

Thanks for your contributions.

Tony
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