{"id":397,"date":"2019-12-11T14:31:57","date_gmt":"2019-12-11T19:31:57","guid":{"rendered":"https:\/\/se.csbe.qc.ca\/mathprimaire\/?p=397"},"modified":"2021-11-19T10:19:54","modified_gmt":"2021-11-19T15:19:54","slug":"subitisation-et-boulier-rekenrek","status":"publish","type":"post","link":"https:\/\/se.csbe.qc.ca\/mathprimaire\/2019\/12\/11\/subitisation-et-boulier-rekenrek\/","title":{"rendered":"Subitisation et boulier rekenrek"},"content":{"rendered":"<div class=\"page-restrict-output\">\n<p><strong>Pour \u00e9viter les pannes d&rsquo;images mentales&#8230;\u00a0<\/strong><\/p>\n<p>Observez cette repr\u00e9sentation de 6+7 \u00e0 l&rsquo;aide de jetons et du boulier rekenrek.\u00a0 Y a-t-il une disposition ou un groupement vous permettant de visualiser le total plus facilement?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-405 aligncenter\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-300x225.jpg 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-1024x768.jpg 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-768x576.jpg 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-1536x1152.jpg 1536w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek67-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>\u00a0<\/p>\n<p><!--more--><\/p>\n\n\n\n<p><i><span class=\"Apple-style-span\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-402 alignleft\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-300x225.jpg 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-1024x768.jpg 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-768x576.jpg 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-1536x1152.jpg 1536w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/rekenrek-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/span><\/i><\/p>\n<p>&nbsp;<\/p>\n<p><i><span class=\"Apple-style-span\">\u00ab\u00a0La subitisation est une aptitude&nbsp;inn\u00e9e de perception globale de petites quantit\u00e9s.&nbsp;La limite de cette aptitude que nous partageons avec plusieurs animaux se situe \u00e0 3 ou 4.<\/span><\/i><\/p>\n<p><i><span class=\"Apple-style-span\">Pratiquement t<\/span><\/i><i><span class=\"Apple-style-span\">out l&rsquo;arsenal math\u00e9matique que le cerveau humain s&rsquo;est donn\u00e9 pour conqu\u00e9rir le nombre et les op\u00e9rations ne serait qu&rsquo;une suite d&rsquo;extensions de l&rsquo;aptitude naturelle \u00e0 subitiser.<\/span><\/i><\/p>\n<p><i><span class=\"Apple-style-span\">De plus en plus de recherches en neurosciences nous mettent cependant en garde contre cette strat\u00e9gie verbale (comptage oral) \u00e9rig\u00e9e en statue dans notre culture math\u00e9matique moderne : en doses massives, le comptage oral pourrait d\u00e9brancher les enfants de leur aptitude naturelle \u00e0 subitiser en for\u00e7ant le nombre \u00e0 poursuivre pr\u00e9matur\u00e9ment son \u00e9volution dans l&rsquo;aire du langage, loin des capacit\u00e9s visuelles inn\u00e9es et indispensables \u00e0 moult d\u00e9veloppements indispensables futurs . Les nombreuses pannes d&rsquo;images mentales en math\u00e9matiques repr\u00e9senteraient les pires cons\u00e9quences de cette mise au rancart pr\u00e9matur\u00e9e de la capacit\u00e9 de visualiser.\u00a0\u00bb <a href=\"http:\/\/michellyons.blogspot.com\/\">Michel Lyons<\/a>&nbsp;<\/span><\/i><\/p>\n<p>Le Boulier rekenrek, comme les cadre \u00e0 10 cases ou les grilles de 100 nombres, permet d&rsquo;estimer des quantit\u00e9s en subitisant. La reconnaissance de l&rsquo;organisation de constellations de points (d\u00e9, domino) permet \u00e9galement la subitisation.&nbsp; Un boulier de 10 tiges aident&nbsp; \u00e0 d\u00e9velopper des strat\u00e9gies de calculs mentales en utilisant les propri\u00e9t\u00e9s de la multiplication par exemple.<\/p>\n<p style=\"text-align: center\">4 x 7<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-400 aligncenter\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/2019-12-11-13_52_14-Number-Rack-by-The-Math-Learning-Center-300x152.png\" alt=\"\" width=\"300\" height=\"152\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/2019-12-11-13_52_14-Number-Rack-by-The-Math-Learning-Center-300x152.png 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/2019-12-11-13_52_14-Number-Rack-by-The-Math-Learning-Center-768x390.png 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/2019-12-11-13_52_14-Number-Rack-by-The-Math-Learning-Center.png 830w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Cet exemple permet \u00e0 l&rsquo;\u00e9l\u00e8ve de subitiser \u00e0 l&rsquo;aide de la distributivit\u00e9 : 4 x 7 = (4 x 5) + (4 x 2)= 20 + 8 = 28<\/p>\n<p>Ressources en ligne: Capsules vid\u00e9os (cliquez sur le lien bleu)&nbsp;<\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tbody>\n<tr>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><a href=\"https:\/\/youtu.be\/xExL74C0mBc\">Subitisation et sens du nombre<\/a><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><a href=\"https:\/\/youtu.be\/sDtiKSJ6WsI\">Subitisation et calcul mental<\/a><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><a href=\"https:\/\/youtu.be\/a0QQLg6tqlU\">Le boulier rekenrek<\/a><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><a href=\"https:\/\/www.youtube.com\/watch?v=8vvFDSxTQKw\">Le boulier pour d\u00e9velopper le sens du nombre<\/a><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><a href=\"http:\/\/www.youtube.com\/watch?v=c5PVJMbdigs\">Le boulier pour soutenir le calcul mental<\/a><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-445\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/1111-300x225.png\" alt=\"\" width=\"108\" height=\"81\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/1111-300x225.png 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/1111-1024x768.png 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/1111-768x576.png 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/1111.png 1280w\" sizes=\"auto, (max-width: 108px) 100vw, 108px\" \/><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-527\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/Capttesture-300x179.jpg\" alt=\"\" width=\"300\" height=\"179\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/Capttesture-300x179.jpg 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2019\/12\/Capttesture.jpg 677w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-446\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/2222-300x225.png\" alt=\"\" width=\"115\" height=\"86\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/2222-300x225.png 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/2222-1024x768.png 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/2222-768x576.png 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/2222.png 1280w\" sizes=\"auto, (max-width: 115px) 100vw, 115px\" \/><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-450\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aaaaa-1-300x225.png\" alt=\"\" width=\"116\" height=\"87\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aaaaa-1-300x225.png 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aaaaa-1-1024x768.png 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aaaaa-1-768x576.png 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aaaaa-1.png 1280w\" sizes=\"auto, (max-width: 116px) 100vw, 116px\" \/><\/td>\n<td style=\"width: 20%;text-align: center;background-color: #ede728;border-style: solid;border-color: #000000\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-454\" src=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aa-300x225.png\" alt=\"\" width=\"116\" height=\"87\" srcset=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aa-300x225.png 300w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aa-1024x768.png 1024w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aa-768x576.png 768w, https:\/\/se.csbe.qc.ca\/mathprimaire\/files\/2020\/03\/aa.png 1280w\" sizes=\"auto, (max-width: 116px) 100vw, 116px\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li>Boulier interactif en ligne: ce boulier en ligne est un bon compromis au boulier r\u00e9el.&nbsp; D&rsquo;aspect identique, il permet d&rsquo;enlever ou d&rsquo;ajouter des tiges pour travailler de petits ou grands nombres:&nbsp; <a href=\"https:\/\/apps.mathlearningcenter.org\/number-rack\/\">ICI<\/a>&nbsp;<\/li>\n<li>L&rsquo;application rekenrek pour tablette:<a href=\"https:\/\/apps.apple.com\/us\/app\/rekenrek-by-mathies\/id868343670\"> ICI<\/a><\/li>\n<li>Le site internet Mathies:<a href=\"https:\/\/mathies.ca\/francais.php\"> ICI&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/a>(<em>Le navigateur doit supporter Flash.&nbsp; Au besoin, l&rsquo;activer \u00e0 l&rsquo;aide de l&rsquo;ic\u00f4ne situ\u00e9e \u00e0 droite de la barre d&rsquo;adresse.)&nbsp;<\/em><\/li>\n<li>BLANKE, Barbara. Using the rekenrek as a visual model for strategic reasoning in math\u00e9matics:&nbsp; <a href=\"https:\/\/www.mathlearningcenter.org\/sites\/default\/files\/pdfs\/URVM_201511sec.pdf\">ICI<\/a><\/li>\n<li>FRYKHOLM, Jeff. Learning to think mathematically with the rekenrek: <a href=\"https:\/\/www.mathlearningcenter.org\/sites\/default\/files\/pdfs\/LTM_Rekenrek.pdf\">ICI<\/a><\/li>\n<li>LYONS, Michel et Robert. D\u00e9fi math\u00e9matique:<a href=\"https:\/\/videos.defimath.ca\/incontournables\/\"> ICI<\/a>&nbsp;<\/li>\n<li>LYONS, Michel. Les incontournables du nombres: <a href=\"http:\/\/www.ladoq.ca\/sites\/default\/files\/ladoq_revue-incontournables-nombre.pdf\">ICI<\/a>&nbsp;<\/li>\n<\/ul>\n<\/div>","protected":false},"excerpt":{"rendered":"<div class=\"page-restrict-output\"><p>Pour \u00e9viter les pannes d&rsquo;images mentales&#8230;\u00a0 Observez cette repr\u00e9sentation de 6+7 \u00e0 l&rsquo;aide de jetons et du boulier rekenrek.\u00a0 Y a-t-il une disposition ou un groupement vous permettant de visualiser le total plus facilement? \u00a0<\/p><p><a class=\"more-link btn\" href=\"https:\/\/se.csbe.qc.ca\/mathprimaire\/2019\/12\/11\/subitisation-et-boulier-rekenrek\/\">Lire la suite<\/a><\/p>\n<\/div>","protected":false},"author":156,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-397","post","type-post","status-publish","format-standard","hentry","category-concepts","item-wrap"],"_links":{"self":[{"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/posts\/397","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/users\/156"}],"replies":[{"embeddable":true,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/comments?post=397"}],"version-history":[{"count":23,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/posts\/397\/revisions"}],"predecessor-version":[{"id":2198,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/posts\/397\/revisions\/2198"}],"wp:attachment":[{"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/media?parent=397"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/categories?post=397"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/se.csbe.qc.ca\/mathprimaire\/wp-json\/wp\/v2\/tags?post=397"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}