{"id":81,"date":"2022-03-15T11:51:30","date_gmt":"2022-03-15T10:51:30","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=81"},"modified":"2025-12-05T17:24:57","modified_gmt":"2025-12-05T16:24:57","slug":"les-fictions-realistes-et-le-dispositif-resco","status":"publish","type":"page","link":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=81","title":{"rendered":"Les fictions r\u00e9alistes et le dispositif ResCo"},"content":{"rendered":"\n\n\t<p>Selon Ray (2013), une <strong>fiction r\u00e9aliste<\/strong> est une situation ayant les caract\u00e9ristiques suivantes :<\/p>\n<ul>\n<li>elle est a priori non math\u00e9matique,<\/li>\n<li>son contexte est fictif mais r\u00e9aliste,<\/li>\n<li>la prise en charge efficace de cette situation demande une phase de mod\u00e9lisation,<\/li>\n<li>la phase de mod\u00e9lisation peut renvoyer \u00e0 plusieurs probl\u00e8mes math\u00e9matiques selon les choix qui sont faits.<\/li>\n<\/ul>\n<p>Dans des d\u00e9veloppements r\u00e9cents (Modeste &amp; Yvain, 2017), le groupe ResCo ajoute \u00e0 cela deux autres caract\u00e9ristiques\u00a0:<\/p>\n<ul>\n<li>la fiction r\u00e9aliste est con\u00e7ue comme une transposition d&rsquo;une probl\u00e9matique de mod\u00e9lisation issue des pratiques scientifiques professionnelles (travail du mod\u00e9lisateur)\u00a0;<\/li>\n<li>les variables didactiques de la fiction r\u00e9aliste sont choisies de mani\u00e8re \u00e0 favoriser l&rsquo;entr\u00e9e dans la mod\u00e9lisation (et plus pr\u00e9cis\u00e9ment dans la math\u00e9matisation horizontale &#8211; plus de pr\u00e9cisions\u00a0<a href=\"https:\/\/clarolineconnect.univ-lyon1.fr\/clarolinepdfplayerbundle\/pdf\/2429239\" target=\"_blank\" rel=\"noopener\">ici<\/a>)<\/li>\n<\/ul>\n<p>Ces situations sont plac\u00e9es dans un contexte (un fragment de r\u00e9alit\u00e9) qui soul\u00e8ve une question n\u00e9cessitant la construction d&rsquo;un mod\u00e8le. Selon les situations, l&rsquo;enjeu de mod\u00e9lisation peut \u00eatre motiv\u00e9 par des questions de diff\u00e9rentes natures (pr\u00e9vision, inaccessibilit\u00e9, optimisation&#8230;).<\/p>\n<p>Quelques propositions d&rsquo;\u00e9nonc\u00e9s de fictions r\u00e9alistes con\u00e7ues dans le cadre d&rsquo;une r\u00e9solution collaborative (voir ci-dessous et ResCo (2014)), avec les th\u00e8mes du programme de math\u00e9matiques qui peuvent s&rsquo;y rattacher.<\/p>\n<h3>\n\t\t\tUn exemple de fiction r\u00e9aliste\t<\/h3>\n\t<p>1. L&rsquo;\u00e9nonc\u00e9 initial : <strong>L&rsquo;arbre<\/strong><\/p>\n\t\t\t\t<img decoding=\"async\" src=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/FictionRealisteArbreEnonce-300x199.png\" alt=\"FictionRealisteArbreEnonce\" itemprop=\"image\" height=\"199\" width=\"300\" title=\"FictionRealisteArbreEnonce\" onerror=\"this.style.display='none'\" loading=\"lazy\" \/>\n\t<p>2. La relance<\/p>\n\t\t\t\t<img decoding=\"async\" src=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/FictionRealisteArbreRelance-300x207.png\" alt=\"FictionRealisteArbreRelance\" itemprop=\"image\" height=\"207\" width=\"300\" title=\"FictionRealisteArbreRelance\" onerror=\"this.style.display='none'\" loading=\"lazy\" \/>\n\t<p>3. La cl\u00f4ture du probl\u00e8me<\/p>\n\t\t\t\t<img decoding=\"async\" src=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/FictionRealisteArbreCloture-296x300.png\" alt=\"FictionRealisteArbreCloture\" itemprop=\"image\" height=\"300\" width=\"296\" title=\"FictionRealisteArbreCloture\" onerror=\"this.style.display='none'\" loading=\"lazy\" \/>\n\n\t<p>Cette rubrique d\u00e9crit une modalit\u00e9 de mise en \u0153uvre de fictions r\u00e9alistes dans un dispositif de r\u00e9solution collaborative de probl\u00e8me, propos\u00e9 chaque ann\u00e9e par le groupe IREM ResCo de Montpellier (ResCo, 2014).<\/p>\n<p>Ce dispositif peut \u00eatre adapt\u00e9, pour proposer des fictions r\u00e9alistes hors du cadre ResCo.<\/p>\n<p>Vous pouvez d\u00e9couvrir cette mise en \u0153uvre\u00a0<a href=\"https:\/\/clarolineconnect.univ-lyon1.fr\/clarolinepdfplayerbundle\/pdf\/2429240\" target=\"_blank\" rel=\"noopener\">ici<\/a>.<\/p>\n<h2>\n\t\t\tDes exemples de fictions r\u00e9alistes\t<\/h2>\n\t<table>\n<tbody>\n<tr valign=\"center\">\n<td>Ann\u00e9es\u00a0 \u00a0<\/td>\n<td>Les sujets<\/td>\n<td>\u00a0 \u00a0L&rsquo;\u00e9nonc\u00e9<\/td>\n<td>\u00a0 \u00a0La relance<\/td>\n<td>\u00a0 \u00a0La cl\u00f4ture<\/td>\n<\/tr>\n<tr>\n<td>2019<\/td>\n<td>Les vitres<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2019.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2019<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/R_2019.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2019<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/C_2019.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2019<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2018<\/td>\n<td>L&rsquo;entrep\u00f4t<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2018.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2018<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2018.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2018<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2018.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2018<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2017<\/td>\n<td>En voie d&rsquo;extinction<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2017.pdf\">E<sub>2017<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2017.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2017<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2017.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2017<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2016<\/td>\n<td>Les arbres<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2016.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2016<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2016.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2016<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2016.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2016<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2015<\/td>\n<td>Le champ et l&rsquo;\u00e9olienne<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2015.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2015<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2015.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2015<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2015.pdf\"> C<sub>2015<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2014<\/td>\n<td>Fukushima<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2014.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2014<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2014.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2014<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2014.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2014<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2013<\/td>\n<td>La dalle d&rsquo;Anubis<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2013.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2013<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2013.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2013<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2013.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2013<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2012<\/td>\n<td>Les \u0153ufs<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2012.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2012<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2012.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2012<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2012.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2012<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2011<\/td>\n<td>La banquise<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2011.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2011<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2011.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2011<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2011.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2011<\/sub><\/a><\/td>\n<\/tr>\n<tr>\n<td>2010<\/td>\n<td>L&rsquo;artiste<\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/E2010.pdf\" target=\"_blank\" rel=\"noopener\">E<sub>2010<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/R2010.pdf\" target=\"_blank\" rel=\"noopener\">R<sub>2010<\/sub><\/a><\/td>\n<td><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/C2010.pdf\" target=\"_blank\" rel=\"noopener\">C<sub>2010<\/sub><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t<p>Pour plus de renseignements ou pour inscrire une classe au dispositif de r\u00e9solution collaborative : <a href=\"mailto:resco@math.univ-montp2.fr\">resco@math.univmontp2.fr<\/a><\/p>\n\n","protected":false},"excerpt":{"rendered":"<p>Selon Ray (2013), une fiction r\u00e9aliste est une situation ayant les caract\u00e9ristiques suivantes : elle est a priori non math\u00e9matique, son contexte est fictif mais r\u00e9aliste, la prise en charge efficace de cette situation demande une phase de mod\u00e9lisation, la phase de mod\u00e9lisation peut renvoyer \u00e0 plusieurs probl\u00e8mes math\u00e9matiques selon les choix qui sont faits. [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":3328,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[157],"tags":[],"type_situation":[],"theme_maths":[],"type-expe":[],"class_list":{"0":"post-81","1":"page","2":"type-page","3":"status-publish","5":"category-ressources-pedagogiques","6":"czr-hentry"},"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"jules emery","author_link":"https:\/\/math.univ-lyon1.fr\/dream\/?author=5"},"rttpg_comment":0,"rttpg_category":" <a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?cat=157\" rel=\"tag\">Ressources p\u00e9dagogiques<\/a>","rttpg_excerpt":"Selon Ray (2013), une fiction r\u00e9aliste est une situation ayant les caract\u00e9ristiques suivantes : elle est a priori non math\u00e9matique, son contexte est fictif mais r\u00e9aliste, la prise en charge efficace de cette situation demande une phase de mod\u00e9lisation, la phase de mod\u00e9lisation peut renvoyer \u00e0 plusieurs probl\u00e8mes math\u00e9matiques selon les choix qui sont faits.\u2026","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/pages\/81","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=81"}],"version-history":[{"count":13,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/pages\/81\/revisions"}],"predecessor-version":[{"id":3844,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/pages\/81\/revisions\/3844"}],"up":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/pages\/3328"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=81"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=81"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=81"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=81"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=81"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=81"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}