[NIFL-LD:4484] Long Division Help!!!

From: Woods (woods@ncia.net)
Date: Tue Nov 16 2004 - 00:25:31 EST


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From: "Woods" <woods@ncia.net>
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Subject: [NIFL-LD:4484] Long Division Help!!!
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Here are a couple of my thoughts and I wonder what others think. It is very 
important to determine whether the individuals have been taught long 
division but can't remember how to do it, or they were never taught in the 
first place. Michele mentioned the possible existence of a "learning 
disability," and this might suggest that people have tried to teach long 
division in the past, but the students fail to learn it due their 
disability. Also, I believe it was mentioned that once taught, the students 
could not remember the algorithm on the next day. This points to a very real 
possibility that a learning disability is in fact preventing the students 
from learning. If these are adults who have already been through many 
attempts to learn long division, maybe a more appropriate tactic would be to 
stop trying and instead teach the students coping skills and alternative 
strategies for solving problems that require division. A calculator is going 
to be a major tool. At the same time it would be important to try to give 
the students enough number sense to be able to recognize when division is 
the required operation in a problem, and also to know when an answer does 
not seem sensible.

It's a different story if the students don't know division because they have 
never been taught. Make sure they understand place value, addition and 
multiplication before you attempt division. Multiplication is repeated 
addition and division is multiplication in reverse. You start with the 
answer and work backwards. You might wish to use beans or some small objects 
to arrange into groups to show what happens when you divide, but you would 
do this only at the beginning to make the concept of division concrete. You 
would want to do this long before you enter into the abstract process of 
paper and pencil computation.

If they have a good grasp of the concept of division, start them out with 
small numbers and simple division problems they can work out mentally. Show 
them how they can solve the easy problems using long division. Give them 
multiplication charts and written step-by-step procedure guides (i.e. 
divide, multiply, subtract, bring down, repeat). Let them use the charts and 
guides for as long as necessary. Give them answer sheets so they can check 
their work and work backwards from the correct answer, if necessary. If 
messy hand writing is a problem, graph paper sometimes helps keep numbers 
neatly arranged in their proper columns.

Tom 



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