8 Year Old's Maths Question

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Electric_Andy

Heavy Metal Fan
Location
Plymouth
Not seen that not sure he's taught that way
yeah he's taught that way, he remembered how to write the table out from school. but needed reminding what you multiple first and then what to add up
 

MontyVeda

a short-tempered ill-controlled small-minded troll
Oi it's Math. Don't put an 'S' on it with a Math Teacher around. I still call it MathS at work - drives the MathS team mad.
Nope math is for USA folk, always been maths in UK.
My American cousin, a college professor, never stepped foot outside of the USA, believes that maths is a more logical abbreviation than math. :okay:
 
That's just a long-winded way of writing out a standard multiplication, which falls over as soon as you need to multiply by something with more than a single digit.
Yes, that was my reaction. But I think the advantage (of sorts) is that it slows the process down, and makes it more clear that one column is the 1,000s, one for 100s, etc; when we do it the normal (faster) way, we kinda hide from ourselves the mechanism that makes it work.

Kids COULD learn to do the fast way without actually understanding why it works. Which in the long-run will make them worse at doing sums. <but what do I know ... I've only taught physics, never Math! >
 
There are quite a few "different" ways to multiply.
https://en.m.wikipedia.org/wiki/Multiplication_algorithm

A couple of "tricks" which can be used in some circumstances

Use a difference of two squares to rewrite the problem so
45^2 = 40*50 + 5^2 = 2,025
And in the same way
106^2 = 100*112 + 6^2 = 11,236

Or use "convoultion" when the digits are fairly smalll. This flips one of the numbers then slides it under the other and you calculate each digit of the answer in turn. So something like
123*12
Flio the 12 to become 21,and slide it under the other number from the right and each time add up the product of digits. So the ones in the answer is
3*2 = 6
The tens is
2*2 + 3*1 = 7
hundreds is
1*2 + 2*1 = 4
Thousands is
1*1 = 1
So 1476. Each step, you're working directly on one of the digits in the answer, so you can just write the answer down.

Health warning: don't try these tricks at dinner parties, unless you're trying to get everyone to leave.
 
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Archie_tect

De Skieven Architek... aka Penfold + Horace
Location
Northumberland
There are quite a few "different" ways to multiply.
https://en.m.wikipedia.org/wiki/Multiplication_algorithm

A couple of "tricks" which can be used in some circumstances

Use a difference of two squares to rewrite the problem so
45^2 = 40*50 + 5^2 = 2,025
And in the same way
106^2 = 100*112 + 6^2 = 11,236

Or use "convoultion" when the digits are fairly smalll. This flips one of the numbers then slides it under the other and you calculate each digit of the answer in turn. So something like
123*12
Flio the 12 to become 21,and slide it under the other number from the right and each time add up the product of digits. So the ones in the answer is
3*2 = 6
The tens is
2*2 + 3*1 = 7
hundreds is
1*2 + 2*1 = 4
Thousands is
1*1 = 1
So 1476. Each step, you're working directly on one of the digits in the answer, so you can just write the answer down.

Health warning: don't try these tricks at dinner parties, unless you're trying to get everyone to leave.
We were just taught long multiplication [and division] in the 60s which is really quick once you've learnt your times tables!
 
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Deleted member 26715

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We were just taught long multiplication [and division] in the 60s which is really quick once you've learnt your times tables!
That to me is the key, for some unknown reason somebody within the education system decided that teaching times tables were not required, early 90's I think, neither of my 2 kids now in their 30's were taught times tables, I have no concept of how multiply numbers.
 

swee'pea99

Legendary Member
That to me is the key, for some unknown reason somebody within the education system decided that teaching times tables were not required, early 90's I think, neither of my 2 kids now in their 30's were taught times tables, I have no concept of how multiply numbers.
Presumably it fell foul of a general hostility to rote learning - as so often, a sound basic idea taken to unhelpful extremes by well-meaning halfwits.
 
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Archie_tect

De Skieven Architek... aka Penfold + Horace
Location
Northumberland
I think of it as education policymakers deliberately changing things for the sake of it to stay viably employed. That's why we suffered the trauma of changing from 2 stage [5/11/18] to 3 stage [5/9/13/18] and now parents have had to endure similar upheaval back to 2 stage [5/11/18] all within 25 years... just long enough for each policy innovation to appear a 'good idea'.
 

C R

Guru
Location
Worcester
The countable vs uncountable infinities thing was one of my "wow" moments.

The other was when e^i pi + 1 = 0 dropped out of a result we were shown on the blackboard. I think we all gasped out loud when we first saw that
That has to be the most beautiful equation in history, so much mathematics in such an elegant expression.
 
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