Hi Phillip,

On Fri, Jul 16, 2010 at 8:06 AM, Phillip M. Feldman
<phillip.m.feld...@gmail.com> wrote:
> The existing SAGE tutorial by Bill Stein has a lot of good
> information, but is hard to assimilate.  It would be really great to
> have a tutorial written
> with highschool students in mind.  (This would also be useful for
> others who are not professional mathematicians).

Agreed. What sort of topics would such a tutorial cover? I have a
short list [1] of topics that could be included in a tutorial aimed at
high school students.


> Also, I'd like to suggest that the discussion of polynomials should
> not start with polynomial rings. The average highschool student (or
> working engineer) has no idea what a polynomial ring is.

And I would have thought that a ring is what you get when you're married :-)


> I'd really
> like to see some examples that show how to define polynomials with
> rational or decimal coefficients, multiply two such polynomials
> together, factor a polynomial to find the roots (using
> numerical methods if necessary), divide one polynomial by another to
> yield the quotient and remainder, and so on.

Can you put together a list of topics to cover? Or we could do this
together. The idea is to produce a skeleton of the tutorial in
question. The skeleton should have chapters, each devoted to a topic
of high school maths. For each chapter, provide an outline (in bullet
points if necessary) of topics to cover for that chapter. With such a
skeleton ready, it would be easier to delegate each chapter to an
author who would then flesh out the designated chapter.

A team in France recently put together a maths book [2] written in
French, with numerous Sage usage examples scattered throughout the
book. I would guess that each person in the team wrote one chapter,
then aggregated all the writings from the team members into a complete
book. Somewhere in that project was to be found an editor who
coordinated the whole enterprise.

It's possible that we are living in different parts of the world. What
is covered in high school maths in one country could very well be
different from that in another country. To make the skeleton of the
proposed tutorial more concrete, consider my skeleton [1] for the
tutorial covering maths at the year 10 level in Victoria, Australia.


[1] http://mvngu.wordpress.com/2008/08/11/year-10-mathematics-in-victoria/

[2] http://sagebook.gforge.inria.fr/

-- 
Regards
Minh Van Nguyen

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