On Saturday, March 4, 2017 at 7:19:41 AM UTC, parisse wrote:
>
>
>
> Le vendredi 3 mars 2017 23:20:42 UTC+1, rjf a écrit :
>>
>> If you were teaching calculus, at what point would you want
>> your students to take out a smartphone and do integrals?
>>
>>
> At least as soon as they are at level n+1 if integration is teached at 
> level n. At level n, make 2 kinds of exam: one with CAS and one without.
>
> How much time would you allocate to teaching the syntax
>> of the CAS, what to do with error messages, how to download
>> the latest copy,  etc.?
>>
>
> My own experience with Xcas on a desktop is that it takes less than 1h for 
> 1st year students to be able to do basic CAS stuff (simplify, derive, 
> integrate, plot, etc.) and a little more with CAS calculators. Running Xcas 
> on a smartphone is really straightforward, just open the URL 
> <http://www-fourier.ujf-grenoble.fr/~parisse/xcasen.html>, while 
> installing it locally for an exam takes a few more steps (install an 
> unarchive app, run it and locate the HTML5 page on the device).
>

Why isn't xcas on Android Play store (so that the installation really goes 
as it is normally done with Android apps)?
Note that I can run Maxima on Android, and it is installable this way.
https://play.google.com/store/apps/details?id=jp.yhonda&rdid=jp.yhonda


 

>
>  And what benefit would this be to
>> the student who may still need to solve problems without
>> a CAS for a written exam?
>>
>
> I believe that CAS devices should be allowed for exam except for short 
> interrogations where you check very basic stuff. That could be calculators, 
> or smartphone/tablets with some way to disconnect them from the network.
>
>
>> Or do we assume that it is no longer necessary to teach
>> methods of integration,  just as it is no longer necessary
>> to teach how to compute square-roots, or how to
>> interpolate in a table of logarithms.
>>
>
> It depends. Integration by part for example should be teached. Or 
> integrating simple rational fractions (say denominators of degree 2). But I 
> believe it is not required anymore to teach how to compute by hand higher 
> degree fractions like 1/(x^2-1)/(x^2+x+1)^2, today it's more important to 
> know how to do it with a CAS and how to check that you did not make a typo.
>
>
>> Having taught a calculus + computer lab many years
>> ago (1973! at MIT), the students were more interested
>> in the Risch algorithm (simple version) than "regular"
>> stuff.  Even today, calculus classes don't teach that, do they?
>>
>>
> Of course no, and there is one good reason for that: most colleagues do 
> not even know what the Risch algorithm is about.
>

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