{"id":978,"date":"2025-06-23T11:51:19","date_gmt":"2025-06-23T07:51:19","guid":{"rendered":"https:\/\/iremi.univ-reunion.fr\/?p=978"},"modified":"2025-06-23T11:54:04","modified_gmt":"2025-06-23T07:54:04","slug":"initiation-au-boulier-au-cp","status":"publish","type":"post","link":"https:\/\/iremi.univ-reunion.fr\/?p=978","title":{"rendered":"Initiation au boulier au CP"},"content":{"rendered":"\n<div class=\"wp-block-media-text is-stacked-on-mobile is-vertically-aligned-top\" style=\"grid-template-columns:23% auto\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"1024\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/2025062-test-768x1024.jpg\" alt=\"\" class=\"wp-image-979 size-full\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/2025062-test-768x1024.jpg 768w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/2025062-test-225x300.jpg 225w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/2025062-test-1152x1536.jpg 1152w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/2025062-test.jpg 1350w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p>Cet article met \u00e0 disposition des documents utilisables en CP pour une initiation au boulier chinois (derni\u00e8re p\u00e9riode) en 3 ou 4  s\u00e9ances. <\/p>\n\n\n\n<p>Les \u00e9l\u00e8ves de CP de la classe dans laquelle je suis intervenue utilisaient la m\u00e9thode Picbille. J&rsquo;ai donc adapt\u00e9 le discours \u00e0 cette m\u00e9thode.<\/p>\n<\/div><\/div>\n\n\n\n<p>Les bouliers sont \u00ab\u00a0home-made\u00a0\u00bb (je peux les pr\u00eater, j&rsquo;en ai 25), mais on peut tr\u00e8s bien utiliser des bouliers chinois standards, en ayant peint les perles (ou pas). <\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-6c531013 wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"979\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/BoulierQiu-1024x979.png\" alt=\"\" class=\"wp-image-989\" style=\"object-fit:cover\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/BoulierQiu-1024x979.png 1024w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/BoulierQiu-300x287.png 300w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/BoulierQiu-768x734.png 768w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/BoulierQiu.png 1265w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"725\" height=\"1024\" src=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche-725x1024.png\" alt=\"\" class=\"wp-image-992\" srcset=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche-725x1024.png 725w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche-212x300.png 212w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche-768x1085.png 768w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche-1087x1536.png 1087w, https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/Exemple-FIche.png 1090w\" sizes=\"auto, (max-width: 725px) 100vw, 725px\" \/><\/figure>\n<\/div>\n\n\n\n<p>Cela reste une initiation. ..  En pratique (et suite \u00e0 discussion avec l&rsquo;enseignante) nous avons choisi de ne pas utiliser les algorithmes usuels du boulier chinois pour l&rsquo;addition (en commen\u00e7ant par les chiffres de poids fort), mais en mimant l\u2019algorithme d&rsquo;addition pos\u00e9e (en commen\u00e7ant par les chiffres des unit\u00e9s). C&rsquo;est beaucoup moins efficace en terme de nombre de manipulations, mais cela aurait \u00e9t\u00e9 peut-\u00eatre perturbant pour certains.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>S\u00e9ance 1: <\/strong> D\u00e9couverte du boulier et du vocabulaire associ\u00e9, introduction \u00e0 la repr\u00e9sentation des nombres sur le boulier. <\/li>\n\n\n\n<li><strong>S\u00e9ance 2<\/strong>: Repr\u00e9sentation des nombres sur le boulier<\/li>\n\n\n\n<li><strong>S\u00e9ance 3 (et 4) :<\/strong> Additionner des nombres sur le boulier <\/li>\n<\/ul>\n\n\n\n<p style=\"padding-top:var(--wp--preset--spacing--40)\"><strong>D\u00e9roul\u00e9 de la S\u00e9quence<\/strong><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-1a875e28-7afd-4a11-a708-ab1d25f2cc29\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/SequenceBoulier-CP.pdf\">S\u00e9quence Boulier CP (d\u00e9roul\u00e9 sommaire informel)<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/SequenceBoulier-CP.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-1a875e28-7afd-4a11-a708-ab1d25f2cc29\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<p>Les s\u00e9ances utilisent un  boulier virtuel pour montrer au tableau, on en trouve par exemple ici:  <a href=\"https:\/\/bibliotheque.sesamath.net\/public\/voir\/5fa510a78680fc0aeec0b278\">chez sesamath<\/a>.<\/p>\n\n\n\n<p style=\"padding-top:var(--wp--preset--spacing--30)\"><strong>Documents \u00e0 projeter et documents r\u00e9capitulatifs<\/strong><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-b0fbd8eb-2231-454e-9ab6-4103b016d11f\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-0-PresentationDifferentsBouliers.pdf\">Pr\u00e9sentation  du boulier de Qi\u00f9<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-0-PresentationDifferentsBouliers.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-b0fbd8eb-2231-454e-9ab6-4103b016d11f\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-241317af-8d2e-43d1-810b-f079bc77e413\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/A1-FicheVocabulaireBoulier.pdf\">Fiche Vocabulaire du boulier<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/A1-FicheVocabulaireBoulier.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-241317af-8d2e-43d1-810b-f079bc77e413\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-91ca4d0a-1bc3-45f8-9d79-c54adb68b5fa\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-FicheRecap-1-5-10-50-100.pdf\">Fiche R\u00e9capitulative 1-5-10-50-100<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-FicheRecap-1-5-10-50-100.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-91ca4d0a-1bc3-45f8-9d79-c54adb68b5fa\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-00d73e79-b1d3-4ac9-87e8-00c6f47b33e1\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-FicheRecap-nombresde1a20.pdf\">Fiche R\u00e9capitulative de 1 \u00e0 20<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/00-FicheRecap-nombresde1a20.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-00d73e79-b1d3-4ac9-87e8-00c6f47b33e1\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<p style=\"padding-top:var(--wp--preset--spacing--30);padding-bottom:0\"><strong>Fiches \u00e9l\u00e8ves<\/strong><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-dd85bfd9-6bb1-4ad6-b808-89daf91de044\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance1.pdf\">s\u00e9ance 1<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-dd85bfd9-6bb1-4ad6-b808-89daf91de044\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-c5c46f36-4588-49d4-8d5e-8a63974b4458\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance2.pdf\">s\u00e9ance 2<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance2.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c5c46f36-4588-49d4-8d5e-8a63974b4458\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-73db359c-851c-4727-954d-fe2c96d08db6\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance3.pdf\">seance3<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/seance3.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-73db359c-851c-4727-954d-fe2c96d08db6\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-7aa2ed2a-2435-4a96-8f92-4d15c38f7762\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/dessinBoulier.odg\">Mod\u00e8les de Boulier pour cr\u00e9er de nouvelles fiches<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/dessinBoulier.odg\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-7aa2ed2a-2435-4a96-8f92-4d15c38f7762\">T\u00e9l\u00e9charger<\/a><\/div>\n\n\n\n<p style=\"padding-top:var(--wp--preset--spacing--30)\"><strong>En bonus:<\/strong><\/p>\n\n\n\n<p> Dans la classe o\u00f9 je suis intervenue, il y avait un \u00e9l\u00e8ve en difficult\u00e9s avec les additions pos\u00e9es, alors nous avons tent\u00e9  l&rsquo;utilisation d&rsquo;un abaque \u00e0 jetons (ou \u00e0 pois du cap), avec \u00ab\u00a0liens graphiques\u00a0\u00bb entre abaque et les graphismes de la m\u00e9thode Picbille&#8230; <\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-220e4281-adf7-4ee9-b0f0-3c6d48769b52\" href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/AbaquePicPois-5-50.pdf\">AbaquePicPois-5-50<\/a><a href=\"https:\/\/iremi.univ-reunion.fr\/wp-content\/uploads\/2025\/06\/AbaquePicPois-5-50.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-220e4281-adf7-4ee9-b0f0-3c6d48769b52\">T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Cet article met \u00e0 disposition des documents utilisables en CP pour une initiation au boulier chinois (derni\u00e8re p\u00e9riode) en 3 ou 4 s\u00e9ances. Les \u00e9l\u00e8ves de CP de la classe dans laquelle je suis intervenue utilisaient la m\u00e9thode Picbille. J&rsquo;ai donc adapt\u00e9 le discours \u00e0 cette m\u00e9thode. Les bouliers sont \u00ab\u00a0home-made\u00a0\u00bb (je peux les pr\u00eater, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,5],"tags":[86,29],"coauthors":[41],"class_list":["post-978","post","type-post","status-publish","format-standard","hentry","category-arithmetique-et-algebre","category-contextualiser-les-apprentissages","tag-boulier","tag-cycle-2"],"_links":{"self":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/978","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=978"}],"version-history":[{"count":8,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/978\/revisions"}],"predecessor-version":[{"id":999,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=\/wp\/v2\/posts\/978\/revisions\/999"}],"wp:attachment":[{"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=978"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/iremi.univ-reunion.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcoauthors&post=978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}