{"id":2606,"date":"2019-11-10T20:01:19","date_gmt":"2019-11-10T19:01:19","guid":{"rendered":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/?p=2606"},"modified":"2019-11-10T20:01:19","modified_gmt":"2019-11-10T19:01:19","slug":"donner-du-sens-aux-maths-ce2","status":"publish","type":"post","link":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/10\/donner-du-sens-aux-maths-ce2\/","title":{"rendered":"Donner du sens aux maths CE2"},"content":{"rendered":"\n<p>En CE2, on commence \u00e0 travailler sur des nombres sup\u00e9rieurs \u00e0 1\u00a0000 mais quelle repr\u00e9sentation en ont les \u00e9l\u00e8ves\u00a0?<br> La manipulation, m\u00eame pour travailler sur les grands nombres, semble indispensable. <br> Pour observer les \u00e9missions d\u2019hypoth\u00e8ses et l\u2019organisation dans ce travail monsieur VERDIER, professeur de coll\u00e8ge, est venu dans notre classe.<br><\/p>\n\n\n\n<p>Par groupe de 4, les \u00e9l\u00e8ves ont re\u00e7u une collection de cotons-tiges (182) et une d\u2019allumettes (193).<br> <strong>D\u00e9but de l\u2019activit\u00e9\u00a0: \u00ab\u00a0A votre avis, dans quel sac la quantit\u00e9 d\u2019objets est-elle la plus importante\u00a0?\u00a0\u00bb<br> R\u00e9ponses\u00a0:\u00a0 \u00ab Les cotons-tiges car \u00e7a tient plus de place.\u00a0\u00bb\u00a0\u00a0<br> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0       \u00ab\u00a0Les allumettes car on dirait qu\u2019il y en a plus.\u00a0\u00bb<br> <\/strong><br> Un seul moyen de v\u00e9rifier\u00a0: s\u2019organiser pour comparer ces 2 collections.<br> Certaines \u00e9quipes se partagent les collections et chacun compte ce qu\u2019il a devant lui. Les \u00e9l\u00e8ves se rendent vite compte que c\u2019est fastidieux de compter 1 par 1.<br> <strong>\u00ab\u00a0On se perd au bout d\u2019un moment.\u00a0\u00bb<br> <\/strong>Apr\u00e8s quelques \u00e9checs, certains groupes d\u00e9cident de faire des paquets de 10, \u00e7a devient plus facile et les collections peuvent \u00eatre compar\u00e9es.<br> <strong>\u00ab\u00a0Il y a plus d\u2019allumettes.\u00a0\u00bb<br> <\/strong>Toutefois, le nombre exact est rarement trouv\u00e9. Compter de 10 en 10 jusqu\u2019\u00e0 presque 200 n\u2019est pas facile pour tous, les petits paquets se m\u00e9langent. <br> En fin de s\u00e9ance, au cours de la mise en commun, il appara\u00eet qu\u2019utiliser des \u00e9lastiques facilitent le comptage.<br> Deux semaines plus tard, ce travail se poursuit mais il \u00e9volue.<br> 5 groupes re\u00e7oivent la m\u00eame collection d\u2019allumettes et 1 groupe une collection de cotons-tiges. <br> Chaque collection ayant un r\u00e9sultat sup\u00e9rieur \u00e0 1\u00a0000.<br> D\u00e9but de l\u2019activit\u00e9\u00a0: <strong>\u00ab\u00a0A votre avis, dans quelle collection la quantit\u00e9 d\u2019objets est-elle la plus importante\u00a0?\u00a0\u00bb<\/strong><br> Cette fois, les \u00e9l\u00e8ves s\u2019organisent et font des paquets de 10 mais cela en fait beaucoup et le comptage sup\u00e9rieur \u00e0 mille n\u2019est pas simple.<br> Le nombre d\u2019\u00e9lastiques n\u2019est pas suffisant (choix pris par les enseignants), il faut donc les \u00e9conomiser. Comment faire\u00a0?<br> Certains d\u00e9cident de faire des paquets de 20, d\u2019autres de 40, 50\u2026<br> Le comptage n\u2019est pas toujours \u00e9vident.<\/p>\n\n\n\n<ul class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090327.jpg\" alt=\"\" data-id=\"2579\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_090327\/\" class=\"wp-image-2579\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090327.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090327-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090335.jpg\" alt=\"\" data-id=\"2580\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_090335\/\" class=\"wp-image-2580\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090335.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090335-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_091457.jpg\" alt=\"\" data-id=\"2581\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_091457\/\" class=\"wp-image-2581\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_091457.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_091457-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090315.jpg\" alt=\"\" data-id=\"2578\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_090315\/\" class=\"wp-image-2578\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090315.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090315-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090311.jpg\" alt=\"\" data-id=\"2577\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_090311\/\" class=\"wp-image-2577\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090311.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090311-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090303.jpg\" alt=\"\" data-id=\"2576\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_090303\/\" class=\"wp-image-2576\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090303.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_090303-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><\/ul>\n\n\n\n<p>Lors de la mise en commun,\nil appara\u00eet que le plus simple serait de faire des paquets de 100. <br>\nUn groupe a trouv\u00e9\n6 allumettes isol\u00e9es (6 unit\u00e9s), 2 paquets de 10 (2 dizaines) et 11 paquets de\n100 (11 centaines)<br>\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\nmille&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\ncentaine&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\ndizaine&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\nunit\u00e9<br>\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n&nbsp;&nbsp;\n1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n2&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n3<br>\nOn peut \u00e9crire 1m\n2d 3u ou 11c 2d 3u ou 112d 3u ou 1123 u mais aussi 3u 11c 2d\u2026<br>\nPetit \u00e0 petit la\nconstruction du nombre se met en place, d\u2019autres s\u00e9ances vont suivre\u2026<br>\nCette collection\nservira de r\u00e9f\u00e9rence dans notre classe et on reprendra la manipulation d\u00e8s que\ncela nous para\u00eetra n\u00e9cessaire.<\/p>\n\n\n\n<ul class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\"><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101057-1.jpg\" alt=\"\" data-id=\"2592\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_101057-1\/\" class=\"wp-image-2592\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101057-1.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101057-1-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"638\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191105_114241.jpg\" alt=\"\" data-id=\"2591\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191105_114241\/\" class=\"wp-image-2591\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191105_114241.jpg 850w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191105_114241-300x225.jpg 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101001-1.jpg\" alt=\"\" data-id=\"2590\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_101001-1\/\" class=\"wp-image-2590\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101001-1.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_101001-1-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"638\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095555-1.jpg\" alt=\"\" data-id=\"2588\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_095555-1\/\" class=\"wp-image-2588\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095555-1.jpg 850w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095555-1-300x225.jpg 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img loading=\"lazy\" decoding=\"async\" width=\"488\" height=\"650\" src=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095528-1.jpg\" alt=\"\" data-id=\"2584\" data-link=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/08\/donner-du-sens-a-la-numeration-au-ce2__trashed\/img_20191010_095528-1\/\" class=\"wp-image-2584\" srcset=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095528-1.jpg 488w, https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-content\/uploads\/sites\/16\/2019\/11\/IMG_20191010_095528-1-225x300.jpg 225w\" sizes=\"auto, (max-width: 488px) 85vw, 488px\" \/><\/figure><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>En CE2, on commence \u00e0 travailler sur des nombres sup\u00e9rieurs \u00e0 1\u00a0000 mais quelle repr\u00e9sentation en ont les \u00e9l\u00e8ves\u00a0? La manipulation, m\u00eame pour travailler sur les grands nombres, semble indispensable. Pour observer les \u00e9missions d\u2019hypoth\u00e8ses et l\u2019organisation dans ce travail monsieur VERDIER, professeur de coll\u00e8ge, est venu dans notre classe. Par groupe de 4, les &hellip; <a href=\"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/2019\/11\/10\/donner-du-sens-aux-maths-ce2\/\" class=\"more-link\">Continuer la lecture<span class=\"screen-reader-text\"> de &laquo;&nbsp;Donner du sens aux maths CE2&nbsp;&raquo;<\/span><\/a><\/p>\n","protected":false},"author":32,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2606","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/posts\/2606","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/users\/32"}],"replies":[{"embeddable":true,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/comments?post=2606"}],"version-history":[{"count":1,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/posts\/2606\/revisions"}],"predecessor-version":[{"id":2607,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/posts\/2606\/revisions\/2607"}],"wp:attachment":[{"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/media?parent=2606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/categories?post=2606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sitesecoles43.ac-clermont.fr\/0430615k\/wp-json\/wp\/v2\/tags?post=2606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}