On Sun, Dec 9, 2012 at 5:01 PM, Boyko Bantchev <boyk...@gmail.com> wrote:
> I also know many people who teach mathematics or informatics at
> school, at different places and certainly to students with average
> (or below) mathematical abilities.  My wife has been a school teacher
> in mathematics for years.  Neither my experience nor that of all those
> people, or that of our students shows problems with the notation.
> A person may be good at mathematics or similar subjects, or not, but
> this has nothing to do with notation.

http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=485225&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D485225

"A small experiment in reading specifications revealed that students
already trained in discrete mathematics and the specification notation
performed very poorly; much worse than could reasonably be expected if
formal methods proponents are to be believed"


http://www.tandfonline.com/doi/abs/10.1207/s15327809jls1302_1

"Contrary to beliefs held by practitioners and researchers in
mathematics education, students were more successful solving simple
algebra story problems than solving mathematically equivalent
equations."


http://www.inference.phy.cam.ac.uk/sanjoy/benezet/clement-low.pdf

"The fact that fewer than 50 percent of these students could solve the
problems indicates the difficulty of translating into and out of
algebraic notation."


http://www.physics.umd.edu/perg/papers/redish/talks/aapt96m.htm

"Some students have trouble figuring out what are variables and what
are constants in this expression."


Also of note:

http://www.ericdigests.org/2004-3/learning.html

http://www.math.vanderbilt.edu/~schectex/commerrs/

http://www.jstor.org/discover/10.2307/27962524?uid=3739936&uid=2&uid=4&uid=3739256&sid=21101429087833

http://www.jstor.org/discover/10.2307/40248161?uid=3739936&uid=2&uid=4&uid=3739256&sid=21101429087833


> This is supported by observing that, to my best knowledge, notation
> is not among the issues raised in articles, at conferences, etc.
> where the problems of education are observed.

Hopefully my few minutes of effort here have done something to rectify
this gap in this part of your knowledge?

-- 
Raul
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