[Blindmath] Linear formulas for synthetic division algorithm available in Nemeth braille

[Jonathon Yaggie via Blindmath]

The attachment was long division of polynomials by the way.  I do not think
I even did an example dividing by a linear polynomial.  But it does execute
the algorithm completely for a couple examples which is helpful for many
students.  However, that statement is based on experience with sighted
students who seem to excel at procedure (a consequence of our educational
system?).  I am uncertain how/if these carries over to blind students.



Jon Yaggie
EYH Volunteer Coordinator
UIC Mathematics


On Wed, May 14, 2014 at 6:15 PM, Susan Jolly via Blindmath <
blindmath at nfbnet.org> wrote:

> Hi Jon,
>
> Thanks for sending me your files.  I'll need time to decide what to do
> with them.
>
> As far as putting in the terms with zero coefficients, this is necessary
> in order to be able to use the general sum notation in the article.
>
> I understand that synthetic division is a special case but I decided my
> article was long enough just covering the cases I limited it to.  Hopefully
> students who take the time to understand the article will think about how
> it can be extended to all polynomials.
>
> I agree this is basically the algorithm for long division.  I chose not to
> get into that  for several reasons.  First is again that my article was
> already long enough and I didn't want to get into a discussion of place
> value.  Second is that the reference I linked to covers long division much
> better than I could.
>
> By the way, the term "long division" seems to have two meanings.  One is
> the name of a particular spatial procedure for division.  But the more
> important meaning is the algorithm for dividing numbers with several digits
> by numbers with two or more digits.  I think it is very important for
> people who want to go into any STEM field to be able to do such division
> problems without the use of a calculator.  This is, of course, close
> related to the ability to approximate the answer to such division problems.
>
> SusanJ
>
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