{"id":4795,"date":"2026-05-06T12:41:02","date_gmt":"2026-05-06T10:41:02","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceippuiggracios\/?page_id=4795"},"modified":"2026-05-06T12:43:49","modified_gmt":"2026-05-06T10:43:49","slug":"matematiques-manipulatives","status":"publish","type":"page","link":"https:\/\/agora.xtec.cat\/ceippuiggracios\/matematiques-manipulatives\/","title":{"rendered":"Matem\u00e0tiques manipulatives"},"content":{"rendered":"<h2 data-path-to-node=\"3\">Les Matem\u00e0tiques a la nostra escola: Entendre, tocar i pensar<\/h2>\n<p data-path-to-node=\"4\">A la nostra escola, entenem les matem\u00e0tiques com una eina viva i fonamental per comprendre el m\u00f3n. El nostre projecte educatiu es distancia de la memoritzaci\u00f3 tradicional per centrar-se en un aprenentatge significatiu, inclusiu i connectat amb la vida quotidiana.<\/p>\n<h3 data-path-to-node=\"5\">Com aprenem? Els pilars del nostre m\u00e8tode<\/h3>\n<p data-path-to-node=\"6\">La nostra metodologia es basa en la premissa que <b data-path-to-node=\"6\" data-index-in-node=\"49\">les matem\u00e0tiques no s&#8217;han de memoritzar, sin\u00f3 que es toquen i s&#8217;entenen<\/b>. Per aconseguir-ho, treballem sense llibres de text, prioritzant tres fases clau en l&#8217;aprenentatge de l&#8217;infant:<\/p>\n<ol start=\"1\" data-path-to-node=\"7\">\n<li>\n<p data-path-to-node=\"7,0,0\"><b data-path-to-node=\"7,0,0\" data-index-in-node=\"0\">Fase manipulativa:<\/b> Utilitzem materials concrets (com els reglets) per &#8220;veure&#8221; els nombres, agrupar-los i descomposar-los f\u00edsicament.<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"7,1,0\"><b data-path-to-node=\"7,1,0\" data-index-in-node=\"0\">Fase d&#8217;abstracci\u00f3:<\/b> Tradu\u00efm l&#8217;experi\u00e8ncia manipulativa en conceptes, paraules i s\u00edmbols.<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"7,2,0\"><b data-path-to-node=\"7,2,0\" data-index-in-node=\"0\">Fase simb\u00f2lica:<\/b> Consolidem el coneixement un cop l&#8217;infant ha ent\u00e8s el &#8220;perqu\u00e8&#8221; de cada proc\u00e9s.<\/p>\n<\/li>\n<\/ol>\n<h3 data-path-to-node=\"8\">Numeraci\u00f3 i operacions amb sentit<\/h3>\n<p data-path-to-node=\"9\">Un dels nostres trets distintius \u00e9s l&#8217;\u00fas d&#8217;<b data-path-to-node=\"9\" data-index-in-node=\"43\">algoritmes no convencionals<\/b>. En lloc d&#8217;ensenyar un \u00fanic cam\u00ed r\u00edgid per resoldre una operaci\u00f3, oferim als alumnes diverses estrat\u00e8gies. Aix\u00f2 permet que:<\/p>\n<ul data-path-to-node=\"10\">\n<li>\n<p data-path-to-node=\"10,0,0\">Cada infant tri\u00ef el m\u00e8tode que millor s&#8217;adapta a la seva manera de pensar.<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"10,1,0\">Es potenci\u00ef enormement el <b data-path-to-node=\"10,1,0\" data-index-in-node=\"26\">c\u00e0lcul mental<\/b>.<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"10,2,0\">Les matem\u00e0tiques siguin <b data-path-to-node=\"10,2,0\" data-index-in-node=\"24\">accessibles per a tothom<\/b>, respectant els diferents ritmes i estils d&#8217;aprenentatge (suport inclusiu).<\/p>\n<\/li>\n<\/ul>\n<h3 data-path-to-node=\"11\">Aprenentatge per racons<\/h3>\n<p data-path-to-node=\"12\">A les aules, les matem\u00e0tiques es viuen a trav\u00e9s de <b data-path-to-node=\"12\" data-index-in-node=\"51\">racons de treball<\/b>. En aquests espais, l&#8217;alumnat explora de manera aut\u00f2noma i vivencial els diferents blocs de la mat\u00e8ria, des de la geometria fins a la mesura, posant sempre el focus en la resoluci\u00f3 de reptes i en el pensament cr\u00edtic.<\/p>\n<p data-path-to-node=\"13\"><b data-path-to-node=\"13\" data-index-in-node=\"0\">En definitiva, formem infants que no nom\u00e9s saben calcular, sin\u00f3 que saben pensar matem\u00e0ticament.<\/b><\/p>\n<h2>EDUCACI\u00d3 INFANTIL (I3, I4 i I5)<\/h2>\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%; padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden; border-radius: 8px; will-change: transform;\"><iframe style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0; margin: 0;\" src=\"https:\/\/www.canva.com\/design\/DAGD47ZXliA\/l5ESmhlxgn83jEgjcZaJ5g\/view?embed\" allowfullscreen=\"allowfullscreen\"><br \/>\n<\/iframe><\/div>\n<p><a href=\"https:\/\/www.canva.com\/design\/DAGD47ZXliA\/l5ESmhlxgn83jEgjcZaJ5g\/view?utm_content=DAGD47ZXliA&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">INFANTIL les matem\u00e0tiques<\/a> de Escola Puiggraci\u00f3s<\/p>\n<h2>CICLE INICIAL (1r i 2n)<\/h2>\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%; padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden; border-radius: 8px; will-change: transform;\"><iframe style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0; margin: 0;\" src=\"https:\/\/www.canva.com\/design\/DAGD4kUPs1k\/oL-un0wcx6ojJqwQW5YbJQ\/view?embed\" allowfullscreen=\"allowfullscreen\"><br \/>\n<\/iframe><\/div>\n<p><a href=\"https:\/\/www.canva.com\/design\/DAGD4kUPs1k\/oL-un0wcx6ojJqwQW5YbJQ\/view?utm_content=DAGD4kUPs1k&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Cicle Inicial Les Matem\u00e0tiques<\/a> de Escola Puiggraci\u00f3s<\/p>\n<h2>CICLE MITJ\u00c0 (3r i 4t)<\/h2>\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%; padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden; border-radius: 8px; will-change: transform;\"><iframe style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0; margin: 0;\" src=\"https:\/\/www.canva.com\/design\/DAGEEunQIsk\/QbgJLp2wjgN5oEl7vspIdA\/view?embed\" allowfullscreen=\"allowfullscreen\"><br \/>\n<\/iframe><\/div>\n<p><a href=\"https:\/\/www.canva.com\/design\/DAGEEunQIsk\/QbgJLp2wjgN5oEl7vspIdA\/view?utm_content=DAGEEunQIsk&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Cicle Mitj\u00e0<\/a> de Escola Puiggraci\u00f3s<\/p>\n<h2>CICLE SUPERIOR (5\u00e8 i 6\u00e8)<\/h2>\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%; padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden; border-radius: 8px; will-change: transform;\"><iframe style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0; margin: 0;\" src=\"https:\/\/www.canva.com\/design\/DAGEEriK-sE\/bT1InkQebJ5HXq1bPYA9yg\/view?embed\" allowfullscreen=\"allowfullscreen\"><br \/>\n<\/iframe><\/div>\n<p><a href=\"https:\/\/www.canva.com\/design\/DAGEEriK-sE\/bT1InkQebJ5HXq1bPYA9yg\/view?utm_content=DAGEEriK-sE&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Cicle superior Matem\u00e0tiques<\/a> de Escola Puiggraci\u00f3s<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Les Matem\u00e0tiques a la nostra escola: Entendre, tocar i pensar A la nostra escola, entenem les matem\u00e0tiques com una eina viva i fonamental per comprendre el m\u00f3n. El nostre projecte educatiu es distancia de la memoritzaci\u00f3 tradicional per centrar-se en un aprenentatge significatiu, inclusiu i connectat amb la vida quotidiana. Com aprenem? Els pilars del [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","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,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-4795","page","type-page","status-publish","hentry"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/pages\/4795","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/comments?post=4795"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/pages\/4795\/revisions"}],"predecessor-version":[{"id":4800,"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/pages\/4795\/revisions\/4800"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ceippuiggracios\/wp-json\/wp\/v2\/media?parent=4795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}