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| == What goes wrong in the SAGE notebook interface for secondary school (need of a "Lycee interface") == Some of (nice) sage features are not well adapted at an elementary level. In particular: * the oriented object syntax must be avoided: a student who see for the first time functions and derivation won't be able to understand f.derive(). The interface must be intuitive from the mathematic *standard* syntax point of vue. * The algebra under polynoms must be cached. QQbar, Number fields must be in backend. * The namespace is in general too big (and that's a general problem in SAGE). There is also supplementary question: * do a french translation of commmands ? * is there some interactive geometry ? == program of secondary school is in France == * sequences (approximations : pi, e, sqrt(2), ...) [1e S] * second degree polynom [1e S] * continuity derivation [Tale S] * functions study (derivative, primitive, variations, roots) [Ta1e S] * integration[Tale S] == Lycee interface == The sage lycee interface will be based on sage-4.2 (latest version on the 31rd of October). There is a running notebook server at : https://139.124.6.88:8001 and the corresponding applied patch is at: http://iml.univ-mrs.fr/~delecroi/lycee-vd.patch For a quick overview: * demo file for polynoms at https://139.124.6.88:8001/home/pub/0 Clearing the namespace causes some crashes (there are some general memory initialization). I make research to do it properly. For now, I use a "do it, if it works it's good" method. In the current version, what is available at initialization : Variables and numbers * t,x,y,z : are variables (in fact element of polynomial ring over QQ) * var : use it to create new variables. var('t1,t2,t3') will create three variables in the global namespace. * i, I : the well known complex number * e, pi : well known real numbers Rings and fields: * ZZ, QQ, RR, CC : the integers, rationals, reals and complexes. * real_part, imag_part : real and imaginary part of a complex Functions: * cos, sin, tan, arcos, ... : trigo * cosh, sinh, arctanh, ... : hyperbolic trigo * sqrt : the square root function * log, exp : logarithm in any base and exponential Dealing with polynoms: * roots : compute the roots of a polynom (just a messy "def roots(p): return p.roots") * derivative, integerate : compute the derivative and primitive * factor : performs a factorization Geometry: * plot : plot functions or anyobject * point, points, point2d : plot points * line2d : lines * text : some text (could have some latex expression between two '$') * show : show a graphic object Arithmetic: * is_prime, gcd, lcm : standard arithmetic functions * factor * It is possible to work modulo p but not so easily |
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| Contacter des enseignants du secondaire et de prépas pour la conception de l'interface lycée. | There is still a lot of problems: * sqrt(n) (log(n), exp(n), ...) returns a symbolic expression which does not evaluate correctly as boolean expression. * help topics in the rest documentation * latex rendering in plot is not easy to have : {{{sage: text("$" + latex(my_object) + "$", (0,0))}}}. Is there a better way ? |
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| == Interface SAGE adapté au programme du lycée == | |
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| L'utilisation de SAGE n'est pas adapté à une utilisation au niveau collège ou au niveau lycée. | == Calendar TODO (mi2010) == |
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| {{{ sage: P = x^2 - 2 sage: s1, s2 = P.roots() sage: s1[0] -sqrt(2) sage: s2[0] sqrt(2) sage: s1 < s2 # would like a real comparison ! -sqrt(2) < sqrt(2) # but the result is a symbolic expression }}} |
* contacter des enseignants pour la conception de l'interface lycée. * contacter des enseignants pour la conception d'ateliers pratiques tests * régler le problème des machines pour les ateliers pratiques * prévoir le spam général (depuis les listes du rectorat) pour les alentours du 10 Décembre |
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| D'autre part il faut abandonner la syntaxe objet. Si on écrit f.derive() aucun enseignant ne sera assez fou pour nous suivre. A faire: * adapter l'espace de nom (et éventuellement cacher certaines) méthodes * rendre fonctionnel (derive(f) et pas f.derive() ne convient pas à des terminales) * franciser * un peu de géométrie interactive... est-ce possible ? Extrait du programme de terminal: * suites (approximations : pi, e, sqrt(2), ...) [1ère S] * polynômes du second degré [1ère S] * étude de fonctions [1ère S] * continuité, dérivation [Tale S] * intégration [Tale S] == Programme (provisoire) de la journée CIRM 2010 == envoi du programme par les listes du rectorat pour le 10 Décembre. |
== Programme (provisoire) (mi2010) == |
What goes wrong in the SAGE notebook interface for secondary school (need of a "Lycee interface")
Some of (nice) sage features are not well adapted at an elementary level. In particular:
- the oriented object syntax must be avoided: a student who see for the first time functions and derivation won't be able to understand f.derive(). The interface must be intuitive from the mathematic *standard* syntax point of vue.
- The algebra under polynoms must be cached. QQbar, Number fields must be in backend.
- The namespace is in general too big (and that's a general problem in SAGE).
There is also supplementary question:
- do a french translation of commmands ?
- is there some interactive geometry ?
program of secondary school is in France
- sequences (approximations : pi, e, sqrt(2), ...) [1e S]
- second degree polynom [1e S]
- continuity derivation [Tale S]
- functions study (derivative, primitive, variations, roots) [Ta1e S]
- integration[Tale S]
Lycee interface
The sage lycee interface will be based on sage-4.2 (latest version on the 31rd of October). There is a running notebook server at : https://139.124.6.88:8001 and the corresponding applied patch is at: http://iml.univ-mrs.fr/~delecroi/lycee-vd.patch
For a quick overview:
demo file for polynoms at https://139.124.6.88:8001/home/pub/0
Clearing the namespace causes some crashes (there are some general memory initialization). I make research to do it properly. For now, I use a "do it, if it works it's good" method.
In the current version, what is available at initialization :
Variables and numbers
- t,x,y,z : are variables (in fact element of polynomial ring over QQ)
- var : use it to create new variables. var('t1,t2,t3') will create three variables in the global namespace.
- i, I : the well known complex number
- e, pi : well known real numbers
Rings and fields:
- ZZ, QQ, RR, CC : the integers, rationals, reals and complexes.
- real_part, imag_part : real and imaginary part of a complex
Functions:
- cos, sin, tan, arcos, ... : trigo
- cosh, sinh, arctanh, ... : hyperbolic trigo
- sqrt : the square root function
- log, exp : logarithm in any base and exponential
Dealing with polynoms:
- roots : compute the roots of a polynom (just a messy "def roots(p): return p.roots")
- derivative, integerate : compute the derivative and primitive
- factor : performs a factorization
Geometry:
- plot : plot functions or anyobject
- point, points, point2d : plot points
- line2d : lines
- text : some text (could have some latex expression between two '$')
- show : show a graphic object
Arithmetic:
- is_prime, gcd, lcm : standard arithmetic functions
- factor
- It is possible to work modulo p but not so easily
TODO
There is still a lot of problems:
- sqrt(n) (log(n), exp(n), ...) returns a symbolic expression which does not evaluate correctly as boolean expression.
- help topics in the rest documentation
latex rendering in plot is not easy to have : sage: text("$" + latex(my_object) + "$", (0,0)). Is there a better way ?
Calendar TODO (mi2010)
- contacter des enseignants pour la conception de l'interface lycée.
- contacter des enseignants pour la conception d'ateliers pratiques tests
- régler le problème des machines pour les ateliers pratiques
- prévoir le spam général (depuis les listes du rectorat) pour les alentours du 10 Décembre
Programme (provisoire) (mi2010)
10h Présentation du logiciel Sage (qui ? ) D'où est parti le projet ? Qu'est-ce qu'un logiciel libre ? Son modèle de développement.
10h30 Premiers pas avec Sage avec "l'interface lycée" les feuilles de travail langage de programmation (~python) utilisation client serveur le partage des feuilles et un exemple de feuille de travail
11H30 Exposé de recherche en s'appuyant sur Sage (Arnoux sur le fractal de Rauzy ?)
14h Ateliers pratiques (propositions de TP à différents niveaux (terminale S et prépa) proposer l'installation des TPs modèles ouvrir un appel à demande de TP pour les profs de lycées (Anne C.) Des gens prêt à réaliser des TP
16h Table ronde: quelle place pour Sage dans l'éducation ? chercheurs + développeurs + enseignants secondaires
17h30 Fin (apéro)