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Topic:  Best & New way to teach Long Division 
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Subject:  RE: Best & New way to teach Long Division 
Author:  Annette1 
Date:  Jun 12 2014 
long division. At my university, which is a science and engineering school, the
math faculty view polynomial long division as an important skill for all
students. Synthetic division absolutely does not suffice as a replacement. In
the first place, synthetic division only works for a subset of possible division
problems. More importantly, there is nothing conceptual that students are
learning when they do synthetic division. It is a trick. When they do
polynomial long division, there are actual mathematical reasons for what they
do. Granted, after a few semesters they will probably use Maple or Mathematica
or some other tool for polynomial long division just as they will use a
calculator for arithmetic long division. However, learning math is not just
about getting a correct answer to a computation. It is about reasoning and
gaining insight into how numbers and operations work.
 
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