On Jul 23, 2009, at 10:09 AM, rjf wrote:

> Regarding Sage running on a server:  some of the components may be
> sufficiently general as to pose hazards in a server environment.  For
> example, Maxima can create and delete files, quickly fill up all
> available memory, etc.  I would guess that other components are also
> hazardous.  It seems to me that the only practical solution is to run
> Sage in a virtual machine on the server, which may be costly. Is that
> what is being proposed? Is that what UW Sage servers are doing?

Yes, that's what the UW Sage servers are doing, and it works very  
well--there is surprisingly little overhead (on modern processors)  
and it's a relatively solid and easy to implement solution.

> Regarding Sage adoption by schools -- there is a large literature on
> computer algebra and teaching.
>
> The evidence I've seen at Berkeley is that the curriculum is already
> "full".  Adding a section of  "computing with Sage" to (say) calculus,
> prompts the response from instructors:  "what will we REMOVE from
> calculus".
> (I usually say "logarithmic derivatives" :) )
>
> If there is an instructor who is excited by a computer program (could
> be one of the M's) he/she can introduce it into the course in some
> way, sometimes.  Evidence at Berkeley is that when that instructor is
> not teaching the course, the computer stuff falls into disuse.
> Students using Mathematica get it (essentially) free for their own
> laptops at their dorm room.
> Those that use it seem to be unconcerned about it being proprietary.
> They are only occasionally concerned that it gets the answers wrong
> sometimes.
>
> While the enthusiastic teacher may think that Sage will enrich the
> course and allow the instructor to demonstrate wonderful and
> interesting things, and allow the students to explore new worlds and
> go where no person has gone before,  the evidence I've seen published
> is that (a) students don't learn anything more from course X +
> computer lab  vs. course X;  (b) students view the computer enrichment
> as something else to learn  -- additional material.
> Also note that half the class is below average. Will using Sage help
> weak students? Also for many students, math courses are an (unwelcome)
> requirement. Will they change because of Sage?
>
> Any instructor who has been asked, after a particularly beautifully
> delivered lecture/demonstration, "Will this be on the final?"
> may have to say,  oh, I guess not.  You won't be using a computer
> during the final.

Whether or not to use computers in teaching is a huge, open-ended  
question... however, if a professor/department/university decides to  
do so (or at least offer the option) the technical question is how  
easy can it be set up and administered. This is where the "sage in a  
box" idea could be very appealing.

> Of course there are some students who are wonderful, interested,
> creative, energetic, clever, and they may love Sage, etc.
> I think they should be provided great opportunities.
>
>  If a student just doesn't understand (say)  what is a function, or
> what is a group, will a computer program help?

It may, it may not. That depends a lot on the student.

- Robert



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