{"id":7218,"date":"2022-12-04T15:06:19","date_gmt":"2022-12-04T14:06:19","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=7218"},"modified":"2023-05-23T15:43:35","modified_gmt":"2023-05-23T14:43:35","slug":"la-demonstration-un-point-de-didactique-sur-les-exemples-generiques","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/la-demonstration-un-point-de-didactique-sur-les-exemples-generiques\/","title":{"rendered":"La d\u00e9monstration : un point de didactique sur les exemples g\u00e9n\u00e9riques"},"content":{"rendered":"<p>Une formation &#8220;Enseigner le raisonnement et la d\u00e9monstration au coll\u00e8ge&#8221; est d\u00e9ploy\u00e9e dans l&#8217;acad\u00e9mie depuis 2021. Apr\u00e8s avoir travaill\u00e9 sur l&#8217;entr\u00e9e dans le raisonnement math\u00e9matique au cycle 3, sur la progressivit\u00e9 de l&#8217;enseignement tout au long du coll\u00e8ge jusqu&#8217;\u00e0, notamment, pouvoir amener les \u00e9l\u00e8ves \u00e0 d\u00e9montrer, nous nous int\u00e9ressons \u00e0 un point particulier et incontournable : la d\u00e9monstration d&#8217;une propri\u00e9t\u00e9 de la le\u00e7on en s&#8217;appuyant sur un exemple g\u00e9n\u00e9rique. Comment proc\u00e8de-t-on en classe pour ne pas faire croire aux \u00e9l\u00e8ves qu&#8217;un exemple permet de d\u00e9montrer une propri\u00e9t\u00e9 g\u00e9n\u00e9rale ?<\/p>\n<p><\/p>\n\n\n<figure class=\"wp-block-video\"><video height=\"720\" style=\"aspect-ratio: 1152 \/ 720;\" width=\"1152\" controls src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2022\/12\/Demo_sur_exemple_generique.mp4\"><\/video><figcaption>Proposition de mise en place d&#8217;une d\u00e9monstration sur un exemple g\u00e9n\u00e9rique en classe.<\/figcaption><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Retour sur la <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/college\/\" target=\"_blank\" rel=\"noreferrer noopener\">page &#8220;coll\u00e8ge&#8221;<\/a> du site acad\u00e9mique de math\u00e9matiques.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Une formation &#8220;Enseigner le raisonnement et la d\u00e9monstration au coll\u00e8ge&#8221; est d\u00e9ploy\u00e9e dans l&#8217;acad\u00e9mie depuis 2021. Apr\u00e8s avoir travaill\u00e9 sur l&#8217;entr\u00e9e dans le raisonnement math\u00e9matique au cycle 3, sur la progressivit\u00e9 de l&#8217;enseignement tout au long du coll\u00e8ge jusqu&#8217;\u00e0, notamment, pouvoir amener les \u00e9l\u00e8ves \u00e0 d\u00e9montrer, nous nous int\u00e9ressons \u00e0 un point particulier et incontournable &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/la-demonstration-un-point-de-didactique-sur-les-exemples-generiques\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":35,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[7,10,18],"tags":[],"class_list":["post-7218","post","type-post","status-publish","format-standard","hentry","category-a-la-une","category-cycle4","category-formations","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/7218","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/users\/35"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=7218"}],"version-history":[{"count":4,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/7218\/revisions"}],"predecessor-version":[{"id":7370,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/7218\/revisions\/7370"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=7218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=7218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=7218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}