If you count on your fingers you get to a full set of fingers which is 10. You then start with a new set of fingers and remember 'I've already counted 1 ten'. That is base 10.

Quote from: kay on October 01, 2020, 09:38:49 am But even so, how meaningful is it to take a single number, or even two numbers, and say "this is a part of THIS sequence"?But I suspect it all originates with a desire to find a divine order to things (or even any order).I agree. I think Fibonacci has so many myths because it's too pretty not to be true! The Fibonacci sequence and the Golden Ratio are like catnip for maths teachers who are desperately trying to make things interesting for a classroom full of bored kids. I don't know why my maths teachers didn't just say that maths underpins the whole global economy as well as science, instead of making dodgy links to spirals and flowers.

But even so, how meaningful is it to take a single number, or even two numbers, and say "this is a part of THIS sequence"?But I suspect it all originates with a desire to find a divine order to things (or even any order).

P.S. Why did my maths teachers never mention the fact that you can make lots of money out of maths? I get that they are more interested in the beauty of nature and it's mathematical patterns, but to a bunch of teenagers thinking about career options, why not mention this?

What have I started!

Quote P.S. Why did my maths teachers never mention the fact that you can make lots of money out of maths? I get that they are more interested in the beauty of nature and it's mathematical patterns, but to a bunch of teenagers thinking about career options, why not mention this?Interesting conversation with my son "I don't want to go to uni because I don't know what I want to do yet, and I don't want to spend 3 years studying only to realise that I don't want to do that job" "So why don't you do a maths degree?" "Would anybody employ me with a maths degree?" I understand the desire to get kids to think about their future in terms of studying subjects that will lead to a career, but there are some areas where it has gone too far. State school careers advice is leaning too far to the vocational.

Interesting conversation with my son "I don't want to go to uni because I don't know what I want to do yet, ...

Quote from: kay on October 01, 2020, 10:45:59 amInteresting conversation with my son "I don't want to go to uni because I don't know what I want to do yet, ...Suggest they do a 'proper' degree in a subject they find interesting. Perhaps it would lead to an interesting career.Chris.

'Recreational maths' - I love that term. I've done plenty of that With reference to geology, self-similarity is certainly present, especially at erosional boundaries, coastlines etc. And formulas can predict detail levels of those I guess:https://en.wikipedia.org/wiki/Self-similarity

Degrees have become a requirement mainly to reduce the number of applications that employers have to wade through.On knuckles - you have 3 on each finger & 2 on the thumb, so 14, but it's quite difficult to maintain 14 different positions to make use of them!

6 is the number they reckon you can keep track of without having to count.

Quote from: ChrisJC on October 01, 2020, 03:09:22 pmQuote from: kay on October 01, 2020, 10:45:59 amInteresting conversation with my son "I don't want to go to uni because I don't know what I want to do yet, ...Suggest they do a 'proper' degree in a subject they find interesting. Perhaps it would lead to an interesting career.Chris.This this this. do something that is going to hold their interest for 3 years plus (if they want to go to uni at all)

Although if you have the maths, I would recommend economics over engineering these days at a top 10 uni. Right up there with medicine for average earnings.

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