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Don,

If you're focused on teaching mathematics using J, I have a few ideas:

- - What about applying action research to the problem?  (Too) briefly,
  try it, observe what happens, reflect, plan a new approach, and try
  again.  I believe someone already suggested that.  You might not have
  as much difficulty as you think -- or, then again, you might, but
  you'd at least have evidence.

- - When / if you do that, I'd encourage you strongly to stick with J as
  it exists.  I've been through the different incompatible Algols and
  Pascals, and it was no fun.  (It's not even fun making the switch from
  x. to x ! :-)

- - Check into "peer instruction" as practiced and taught by Eric Mazur,
  Richard Hake, and others.  It's been tested as an approach at the
  college and community college levels; I don't know if it's been tested
  at lower grades.  Testing it at lower grade levels could make a
  valuable contribution to pedagogy.

- - Check out some of the teaching books Ken and others have produced.
  For example, I have a copy of Ken's Arithemetic and his Tangible Math.
  I might think that Arithemetic would be usable for advanced middle
  school students and high school students.  There are probably others I
  don't have.

  NB: Those two were published in 1991 and use an earlier form of J.
  You'd probably have to encourage J Software to produce updated
  versions or get their permission to revise them yourself.

Just a few thoughts.

Bill

PS: One problem with pure ASCII: emoticons.  My email client, Gnus,
kindly puts in smiley faces instead of emoticons -- or, for that matter,
instead of the :) in the J fragment {:) .  Does anyone here use Gnus and
know a "washing" option to have it show the plain ASCII?  I just edit
the email to see the J.
- -- 
Bill Harris                      http://facilitatedsystems.com/weblog/
Facilitated Systems                              Everett, WA 98208 USA
http://facilitatedsystems.com/                  phone: +1 425 337-5541
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