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reactualisation de la séquence sur le tri

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Bertrand Benjamin 2018-09-18 05:00:33 +02:00
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\documentclass[a4paper,12pt]{classPres}
\usepackage{tcolorbox}
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boxsep=0pt,left=6pt,right=6pt,top=6pt,bottom=6pt,tcbox raise base}
\author{}
\title{}
\date{}
\begin{document}
\begin{frame}{Tri de cartes}
\vfill
\textbf{Objectif: } Trouver une méthode pour trier les cartes en ordre croissant.
\begin{center}
\obox{???} <
\obox{???} <
\obox{???} <
\obox{???} <
\obox{???} <
\obox{???}
\end{center}
\textbf{Restrictions:}
\begin{itemize}
\item Retourner 2 cartes à la fois pour comparer
\begin{center}
\obox{???}
\returnbox{111}
\obox{???}
\obox{???}
\returnbox{100}
\obox{???}
\end{center}
\item Oublier les cartes face cachée
\end{itemize}
\textbf{Production: } Décrire la méthode en utilisant les mots:
\begin{center}
\ovalbox{D'abord} \hspace{0.5cm} \ovalbox{puis} \hspace{0.5cm} \ovalbox{ensuite} \hspace{0.5cm} \ovalbox{enfin} \hspace{0.5cm} \ovalbox{jusqu'à ce que} \hspace{0.5cm} \ovalbox{tant que}\hspace{0.5cm} \ovalbox{alors}
\end{center}
\vfill
\end{frame}
\end{document}

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Initiation à l'algo avec les 2nd du PPS: Tri
############################################
:date: 2018-09-18
:modified: 2018-09-18
:tags: Programmation
:category: 2nd
:authors: Benjamin Bertrand
:summary: Recherche d'algorithmes de tri avec les 2nd du PSS pour l'année 2018-2019.
Description
-----------
Les élèves reçoivent un paquet de carte avec des nombres dessus, ils les
disposent face caché devant eux. Il doivent alors les trier par ordre
croissant. Pour cela, ils ont le droit de retourner que deux cartes à la
fois et de les comparer puis de les replacer face caché sur la table. Au
moment, où les cartes sont face cachée, ils doivent oublier leurs
valeurs.
À la fin de l'heure, ils doivent rendre une feuille où ils expliquent la
méthode qu'ils ont trouvée pour trier les cartes (avec un nombre limité
de connecteurs logiques) et le nombre maximal de comparaison qu'ils
devront effectuer pour trier leur tas.
Déroulement
-----------
Les élèves se mettent par groupes de 3 ou 4 mais reçoivent chacun un
paquet de carte qui leur ait propre (de cette manière, ils pourront
tester une idée sans attendre que leur camarade n'utilise plus les
cartes.). `Les règles <./consignes.pdf>`_ sont projetées au tableau
pour qu'ils puissent s'y référer à tout moment.
Ils commencent pas 10min de travail personnel, où ils vont s'approprier
le problème sans être pollué par la réflexion des autres membres du
groupe. C'est au moment de répondre aux différentes personnes qui n'ont
pas bien compris les règles. Commencer par trier toutes les cartes
distribuées n'est pas forcement une bonne idée, il faut mieux commencer
par essayer d'en trier 5 ou 6.
Au bout des ces 10minutes de recherche, les élèves sont autorisés à
communiquer leur méthode aux autres membres du groupe. Ils vont devoir
se mettre d'accord sur la méthode à suivre, sur la rédaction puis sur le
calcul du maximum de comparaison.
Conception et difficultés
-------------------------
Choix des nombres
~~~~~~~~~~~~~~~~~
`Cartes nombres <./nombres.pdf>`_
Le choix des nombres est important pour éviter que les élèves jouent au
Memory. Des nombres trop petits et ils seront trop faciles à retenir. Le
choix s'est fait sur des nombres en millions très ressemblants (un
chiffre différent à chaque fois). Pour des élèves de lycée, les grands
nombres ne sont normalement pas difficiles à comparer.
Choix des mots de liaison
~~~~~~~~~~~~~~~~~~~~~~~~~
Le choix des mots de liaison a été fait pour coller le plus possible à
ceux qui sont utiliser en programmation. Nous nous sommes donc restreint
à
::
Si, alors, sinon, D'abord, ensuite, tant que
Cette contrainte est assez forte pour la rédaction. Les élèves ont
tendance à utiliser les mots sans réfléchir à leurs sens. Pour les
aider, on peut leurs conseiller d'écrire leur méthode avec leurs mots à
eux puis une fois la méthode écrite, ils peuvent chercher à remplacer
leurs mots par les mots imposés.
Nombre de carte
~~~~~~~~~~~~~~~
Distribuer un grand nombre de carte a un intérêt: ils prendront
conscience de la complexité sans s'en rendre compte. Quand ils
essayeront de trier 16 nombres, ils se rendront compte que cela pend
beaucoup de temps.
Distribuer une grand nombre de carte peut freiner l'appropriation du
problème (trop de choix). C'est pourquoi il est important de leurs
conseiller de commencer à trier des paquets de 5 ou 6 cartes. Ainsi
entre chaque tri, ils pourront choisir d'autres cartes ce qui réduira
encore plus l'effet mémoire.

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