Ted: Very very interesting. Thanks for the great comments and the
offer to help.

+++++++++++++++++++++++++++++++++++++++++++++++

On 7/23/07, Ted Kosan <[EMAIL PROTECTED]> wrote:
>
> William wrote:
>
> > I think SAGE might potentially greatly benefit from certain types of new
> > documentation.  <snip>
>
> I have been thinking about the topic of SAGE's documentation for a
> couple of months now and here is what I have come up with so far.
>
> Before one can determine what SAGE's documentation should look like, I
> think that one must first try to gain an understanding of how the
> technologies that SAGE depends on ( and also technologies in general )
> are going to evolve over the next 20 years.  The most detailed
> projections I currently know of are contained the book "The
> Singularity Is Near" by Ray Kurzweil and if his projections are even
> partially correct, the world is going to undergo enormous changes over
> the next 20 years that will significantly impact SAGE on a number of
> levels.  I highly recommend that the members of the SAGE documentation
> team read this book ( or an equivalent ) before making a plan for
> SAGE's documentation so that projections about how SAGE is going to
> have to evolve to keep pace with these changes can be made.  My
> thought is that commercial mathematics software companies like Wolfram
> Research are making these kind of projections and I think that this
> should be done for SAGE too.
>
> Moving to more concrete issues, a weakness I have noticed in the
> documentation for most mathematics software that I have used is that
> it seems like it consists of shorthand explanations for the underlying
> topics that are being covered.  It feels like perhaps 80% of the
> documentation is simply missing.  The documentation is also not well
> organized and it tends to jump from topic to topic in a somewhat
> haphazard way.  I think the way that commercial software like
> Mathematica has overcome this weakness is that numerous people have
> written books and articles about Mathematica which attempt to explain
> it better than its standard documentation does.  Even though the core
> documentation is inefficient, I think that Mathematica has still been
> able to move forward because of the enormous amount of external
> support it receives.  I found Maxima's documentation to be fairly weak
> and TeXmacs' documentation was incomplete and confusing.   SAGE's
> documentation is actually pretty good and the support on its lists is
> excellent.
>
> My thoughts on making SAGE's documentation even better include
> developing a detailed topic dependency map for SAGE and then having
> the documentation conform to this map.  When a person initially
> encounters SAGE, the first thing I imagine them doing is locating the
> topic on the map that is of interest to them ( Calculus for example )
> and then navigating backwards through the map until they reach a level
> that matches their competency level.  They should then work forward
> through all of the documentation which exists between where their
> competency starts and the topic they are interested in.
>
> Here is an example of the map I have been using to develop what I have
> referred to in the support list as pre-SAGE educational materials:
>
> http://206.21.94.60/tkosan/misc/example_paths_map_v1.0.pdf
>
> This specific map contains some topics that are not directly related
> to SAGE, but hopefully it is still able to illustrate what a SAGE
> topic map might look like.
>
> As for the topics themselves, instead of being presented in shorthand
> form, I think topic documentation should be more complete with a clear
> explanation of the fundamental principles that underly the topic along
> with how SAGE can be used to work with these principles.  I have just
> begun working on the "SAGE Beginner's Tutorial" I had talked about on
> the support list and the first topic the tutorial is addressing are
> the fundamental programming skills that are needed to work with SAGE.
> Even in its early draft stage, I think it is able to serve as an
> illustration of what I mean about striving to provide clear
> explanations of the fundamental principles of a topic before
> discussing more advanced issues that are built on top of them:
>
> http://206.21.94.60/tkosan/misc/sage_tutorial_draft_v.26.pdf
>
>
> I also think that the documentation for each topic should have a
> section for more complete examples which include the context they were
> drawn from.  By context, I mean the type of information that is
> typically contained in word problems.  Here is an example from
> calculus:
>
> "Problem xx: An open rectangular tank is to contain 500 cu. ft. of
> materials.  What is the least possible cost, if the base costs $3 per
> sq. ft. and the sides $2 per sq. ft.?"
>
> What I would like to see in the SAGE documentation is a detailed
> explanation of a best practice way to model this problem in SAGE and
> why it is being modeled a certain way and not some other way.  I then
> want to see a set of best practice steps that can be used to solve the
> problem, along with a detailed explanation of why these steps are
> being used and not some other steps.
>
> One of the conclusions I have drawn from Kurzweil's projections is
> that technology is going to evolve so quickly over the next 20 years
> that people are not going to have anywhere near enough time to learn
> mathematics the way it has been learned up to this point.  I think
> mathematics software will need to become the central tool around which
> a person's mathematics learning strategy is based and it will be
> critical that the documentation for this mathematics software be of
> extremely high quality.
>
> The high level of quality will be needed because there is not going to
> be enough time for people to learn mathematics software through trial
> and error because of inadequate documentation.  People's minds are
> going to need to have something solid to hook into from day one and
> then they will need to be given unambiguous and efficient learning
> paths to follow to the topics that they need to work with.
>
> I think the world has already reached the point where its is not what
> you know that matters, its how quickly you can learn what you need to
> know.  It appears that this principle will become increasingly more
> important in the near future and  I think that SAGE's documentation
> should reflect this reality.
>
> Anyway, I will volunteer to help with developing SAGE's next
> generation documentation, but I really think that some technology
> projections should be done as a first step :-)
>
> Ted
>
> >
>

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