Quick! What's 6 x 8? 7 x 6? The trickiest multiplications for kids aged 5-8. How many do you still struggle with?
@infobeautiful 6×8 is 48, 7×6 is one that admittedly took me a few seconds...
The best part is it’s not 100% symmetrical along the diagonal
I noticed that as well and think that’s an interesting result. The asymmetry tells us something about how kids learn to multiply, though I am not sure what that something is.
Multiplication of small numbers is pure memorization. So this tells us they learn one ordering more than the other.
I know I remember 6 * 8 = 48 as "both end in 8." That rule doesn't work for 8 * 6, making that a harder operation.

@kasperd @infobeautiful @michael

They "do the eights" and they "do the twelves", and these are distinct operations. Both are interrelated since 8x12 = 12x8, but swapping the order of the operation is a huge mental step that is costly to execute. So they stick with one and then make mistakes if multiplication in that order is more error-prone.

In a sense the students' seemingly limited behaviour reflects deeper mathematical truths. Multiplication need not be commutative, in many algebraic systems it is not, and here we see the students acting in a way that pays due respect to the fact that we must not take commutativity for granted! :-)

@infobeautiful
It is unclear in which order the coefficients were assigned (since the table is not symmetrical) and the 1x1 legend does not really help here :)
@infobeautiful The most evil thing about this chart to me is that it's not symmetrical
@infobeautiful Is this suggesting that 10% of kids get 1x1 incorrect?
@infobeautiful to master 7x8 you can reverse the whole equation:
56=7x8.
For my children it is easy to remember 5678 and now, no problem!

@infobeautiful

Very strange. In which schools is it in which country? The multiplication table is usually learned at the age of 8-9, isn't it?

@johan @infobeautiful The infographics says 232 children were studied at Caddington School, possibly the one in the suburbs of London.

@hcf @infobeautiful

Звучит как титры для хоррора:

180 детей сошли с ума...

50 были отправлены в исправительные учреждения...

Двоих, брата и сестру, так и не смогли найти.

В 2012 здание было продано под склад Озон, пока...

Там не начали таинственно пропадать таджики...