dormouse1953: (Default)
Saw this on the Independent's website.

http://ind.pn/1QvJYVT

It was a problem involving probability that allegedly stumped a large number of students taking a maths GCSE.

It is things like this that mean I never could be a teacher.  One look at that problem and jotting down a couple of things on paper, and the answer was obvious.  (Except, I was having my breakfast at the time, I wrote the first line of the solution and then when I went back to it I misread a multiplication sign as a plus sign and went down a blind alley.)  I don't think I could explain it any simpler.

Indeed some years ago I was at a family gathering for Christmas and my nephew had some A-level maths questions to do.  (My nephew is now in his forties, so you can probably work out how long ago this was.)  My mother said I could help him.  My sister (his mother) said don't be silly, it was over twenty years since I did A-level maths.  As it happened, the first problem we looked at involved factorising a polynomial.  (I'm sure that was the sort of problem I would have done at O-level, not A-level.)  I immediately wrote down the first line of how to solve this and my nephew didn't understand.  I tried to exlain, but nothing I said made any sense to him.  We stopped the exercise right there and I never helped him with his A-levels again.  (Although, when he was at university, I did get a phonecall from him one night, asking me to explain some physics problem, I think it was Compton scattering.  But I'd been out at a concert and by the time I got home and he was able to phone me, he'd drunk half a bottle of wine and it was difficult to explain this over the phone.)

I do wonder about the polynomial factorisation whether there was a generation problem.  I was of the generation that did not have calculators when at school (except for my trusty slide rule in the sixth form).  I was taught long division at primary school and the method I knew for factorising polynomials was based on that.  Do children get taught long division these days?

But the upshot is, I think if I was trying to teach maths to someone today, my answer to any question would be, "That's obvious".
dormouse1953: (Default)
In an article on the new GCSE curriculum, there is a list of subjects each illustrated with a picture, so for English Literature you have a picture of a book of a Shakespeare play, and for history, a picture of Hitler.  For maths, the picture shows a page of working for a maths problem:

Expand (a+b)^n

= (a   +   b)^n
= (a       +        b)^n
= (a                 +                 b)^n


At least the teacher has written "Very funny" over it. 

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