Hi all:
This is especially for parents:
example of division using repeated subtraction: www.bbc.co.uk/skillswise/factsheet/ma12pape-l1-f-division-using-repeated-subtraction
example of chunking division (video example):
example of long-division: www.bbc.co.uk/skillswise/factsheet/ma12pape-l1-f-long-division
example of short-division (using bus stop method): www.bbc.co.uk/skillswise/factsheet/ma12pape-l1-f-short-division
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I think debate between lljkk & spanieleyes speaks to the fact that people have their preferences.
Personally I find thinking how many times a number can go into another number is easier - so like short division - but you tend to like the method you were taught which works for you.
I think you can see with the 'chunking' verison of division video - you are in fact doing a number of different mathematical calculations simultaneously - it does require you to be very organised/ methodical. Frequently in DD2s Y4 class - children get muddled about what to add up at the end of chunking (partly because if working with multiples of '3' as in the first example - they will write it 3 x 10 and 10 x 3 instead of keeping the '3' in the same place. After working out the answer - especially if there is a remainder - DD2 reports a lot of kids are completely confused.
Bus stop method (short division) is forbidden at our school - children teach it to each other secretly during breaks (which I find hilarious - and rather proves the point if you make something 'illegal' it becomes attractive).
I think it is great to teach different methods - what I think is unfortunate (at our school at least) is there is a very negative attitude to pupils wanting to use a 'non-approved' method - as in teachers ripping up their work in front of them for using short division.
Perhaps teaching unions could encourage more constructive approaches - surely if a method works for a child and they are successfully and repeatedly getting correct answers - does it matter if they use a different method to what you prefer?