{"id":9200,"date":"2024-02-02T11:00:47","date_gmt":"2024-02-02T10:00:47","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=9200"},"modified":"2026-01-21T16:02:07","modified_gmt":"2026-01-21T15:02:07","slug":"les-mathematiques-des-grandeurs","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/les-mathematiques-des-grandeurs\/","title":{"rendered":"Les math\u00e9matiques des grandeurs"},"content":{"rendered":"\n<p>Les champs d&#8217;application des math\u00e9matiques et la proximit\u00e9 avec d&#8217;autres sciences incitent souvent les professeurs de math\u00e9matiques \u00e0 porter un regard commun et partag\u00e9 avec ceux d&#8217;autres disciplines, notamment dans les situations o\u00f9 interviennent des grandeurs.<\/p>\n\n\n\n<p>Un document des IREM de Paris synth\u00e9tise une partie du travail men\u00e9 depuis bient\u00f4t dix ans sur le th\u00e8me &#8220;Math\u00e9matiques des grandeurs et mod\u00e9lisations&#8221;. Il s&#8217;agit d&#8217;un  <a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/le-livret-math-matiques-des-grandeurs-op-rations-et-proportionnalit-27081-1.pdf\">guide pratique 2024<\/a> qui propose des \u00e9clairages sur les pratiques en classe, tout en veillant \u00e0 la coh\u00e9rence entre les approches des math\u00e9matiques et de la physique-chimie. Les inspections de math\u00e9matiques et de physique-chimie des voies g\u00e9n\u00e9rale, technologique et professionnelle de l\u2019acad\u00e9mie de Cr\u00e9teil y ont associ\u00e9 leurs expertises \u00e0 l\u2019analyse de ces objets de formation pr\u00e9sents tant dans le quotidien de l\u2019enseignement de la physique-chimie, que dans le th\u00e8me Grandeurs et mesures de l\u2019enseignement des math\u00e9matiques.  <\/p>\n\n\n\n<p>Voici quelques pr\u00e9conisations de ce guide, visant \u00e0 harmoniser les pratiques dans les deux disciplines.<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-large-font-size wp-elements-a125db0427485c5b4e5cde779cab8de0\"><strong>Relations entre unit\u00e9s et mesure<\/strong> :<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"811\" height=\"147\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-1.png\" alt=\"\" class=\"wp-image-9205\" style=\"width:545px;height:auto\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-1.png 811w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-1-300x54.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-1-768x139.png 768w\" sizes=\"auto, (max-width: 811px) 100vw, 811px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-large-font-size wp-elements-63c30916dcb859e5c009e2cf4ffc2e16\"><strong>Op\u00e9rations et applications num\u00e9riques<\/strong> : <\/p>\n\n\n\n<p class=\"has-regular-font-size\">afin de ne pas confondre grandeur et mesure, il est important de conserver les unit\u00e9s dans les calculs. <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"904\" height=\"124\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-4.png\" alt=\"\" class=\"wp-image-9229\" style=\"width:743px;height:auto\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-4.png 904w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-4-300x41.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-4-768x105.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-4-870x119.png 870w\" sizes=\"auto, (max-width: 904px) 100vw, 904px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-large-font-size wp-elements-95bc8505c117e323ec0390d600fed99f\"><strong>Op\u00e9rations et conversions<\/strong> : <\/p>\n\n\n\n<p>la technique du tableau de conversion rel\u00e8ve d\u2019un automatisme qui ne soutient ni le sens ni la durabilit\u00e9 des apprentissages. L\u2019\u00e9criture du chiffre \u00ab 1 \u00bb devant le symbole de l\u2019unit\u00e9 de mesure permet l\u2019explicitation de la grandeur de r\u00e9f\u00e9rence de la mesure.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"880\" height=\"201\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image.png\" alt=\"\" class=\"wp-image-9204\" style=\"width:564px;height:auto\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image.png 880w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-300x69.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-768x175.png 768w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-870x199.png 870w\" sizes=\"auto, (max-width: 880px) 100vw, 880px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-large-font-size wp-elements-0bdc561ac6735b6a7ab8151eb13b78ee\"><strong>Op\u00e9rations et isolement de terme<\/strong> : <\/p>\n\n\n\n<p>revenir au raisonnement et au contr\u00f4le plut\u00f4t qu&#8217;aux astuces<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"824\" height=\"341\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-2.png\" alt=\"\" class=\"wp-image-9206\" style=\"width:524px;height:auto\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-2.png 824w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-2-300x124.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-2-768x318.png 768w\" sizes=\"auto, (max-width: 824px) 100vw, 824px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-vivid-red-color has-text-color has-link-color has-large-font-size wp-elements-86ff6e787f125388cc095ecd6df04e48\"><strong>Proportionnalit\u00e9 et conversions<\/strong> : <\/p>\n\n\n\n<p>envisager les conversions de grandeurs dans le cadre de la proportionnalit\u00e9, y compris en langage symbolique.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"826\" height=\"429\" src=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-3.png\" alt=\"\" class=\"wp-image-9207\" style=\"width:503px;height:auto\" srcset=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-3.png 826w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-3-300x156.png 300w, https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2024\/02\/image-3-768x399.png 768w\" sizes=\"auto, (max-width: 826px) 100vw, 826px\" \/><\/figure>\n<\/div>\n\n\n<p>D&#8217;autres r\u00e9flexions et prises de position concernant les calculs, les op\u00e9rations ainsi que la proportionnalit\u00e9 sont aussi propos\u00e9es afin de mettre en coh\u00e9rence, en particulier, les pratiques des professeurs de math\u00e9matiques et celles des professeurs de physique-chimie.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Les champs d&#8217;application des math\u00e9matiques et la proximit\u00e9 avec d&#8217;autres sciences incitent souvent les professeurs de math\u00e9matiques \u00e0 porter un regard commun et partag\u00e9 avec ceux d&#8217;autres disciplines, notamment dans les situations o\u00f9 interviennent des grandeurs. Un document des IREM de Paris synth\u00e9tise une partie du travail men\u00e9 depuis bient\u00f4t dix ans sur le th\u00e8me &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/les-mathematiques-des-grandeurs\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":38,"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":[7,10,23,22,1,184,27],"tags":[],"class_list":["post-9200","post","type-post","status-publish","format-standard","hentry","category-a-la-une","category-cycle4","category-seconde","category-lycee","category-non-classe","category-ressources","category-voie-generale","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/9200","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\/38"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=9200"}],"version-history":[{"count":12,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/9200\/revisions"}],"predecessor-version":[{"id":9233,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/9200\/revisions\/9233"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=9200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=9200"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=9200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}