Friday 19 February 2010

A classroom on a wet wednesday evening

Wonderful thing Open University tutorials. Number of people in the tutorial group, twenty seven; attendees at the tutorial, three.

The best one I ever went to was when I was the only bugger there but it did mean that I got two hours personal tuition on vectors and matrices from a research fellow of a Cambridge college.

To be fair the tutorial earlier in the week was not too badly attended with about 8 people showing up on a wet and cold winter evening in a sixth form school in Cambridge*. I'd already covered the subject of the tutorial but I tend to get more out of tutorials that way and I find them handy just for picking up tips on how best to do things rather than for ab-initio instruction.

This time the big take away was "how not to show a proof".

Lets say you have the focus-directrix property of a non-degenerate** conic Pd = ePF. Now what you don't do is start off by saying "As Pd = ePF then... blah blah blah ...see they are"

Rather you go

"Pd = some formula... rearrange rearrange rearrange... = x"

and

"ePF = some other formula ... rearrange rearrange rearrange... = x"

"so Pd = ePF for this conic"

If you don't do it that way then you fall victim to an argument by circular reasoning which, as a rabid athiest used to duffing up religious types when they use such arguments I should have realised.

So even if you've got down pat the subject your OU tutorial is about it's always worth going along IMHO because you're bound to pick up something.

And what else would you be doing on a wet wednesday evening anyway.



* Which follows in the noble tradition of all educational establishments by selling undrinkable coffee that tastes like hot dishwater with grit in it.

** I have a picure in my head of a "degenerate conic" as a parabola that hangs about smoking behind the bike sheds and committing acts of petty vandalism.

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