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Groucho's Fact Hunt



I never knew this until this thread. Then again I was told at school that "of" meant times (multiply). So 4 x 3 is the same as 3 x 4 ... it makes sense that way. So 40% x 3 is the same as 30% x 4.
 
I excitedly told this percentages thing to my incredibly bright Chinese partner.

I thought it was the equivalent of discovering fire, she thought I had a bang on the head.

"it's basic multiplication. It doesn't matter what order the numbers are, the result is the same"

I mean, she's right..... But I didn't even get a pat on the head.
That's the thing. In school, we learned to divide by 100 after multiplying the other 2 numbers.

Once it's pointed out, it's obvious that multiplying by 0.01 is the same as dividing by 100. I'd just never considered it as solely multiplication.

Clever people see the simple things.
 
That's the thing. In school, we learned to divide by 100 after multiplying the other 2 numbers.

Once it's pointed out, it's obvious that multiplying by 0.01 is the same as dividing by 100. I'd just never considered it as solely multiplication.

Clever people see the simple things.
I don't think it's as clear cut as that, and the relationship for percentages hasn't recently been discovered.

I have a relative who works for a DfE funded maths organisation (the NCETM), and they regularly say the teaching of Maths in this country has been (and is) dire.

The common arguments are that it's been superficial (surface level), too much breadth and not enough depth and learning by rote rather than understanding.

The Chinese system, which we're apparently trying to adopt, is based on depth rather than breadth, building conceptual understanding and building links.

In layman's terms, they are better at maths because they've been taught how and why things work, including links to other content, before actually applying it.

We were taught how to complete arithmetic processes rather than truly know what is happening, which means we struggle to translate content into context.
 

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