{"id":33322,"date":"2026-01-16T09:06:56","date_gmt":"2026-01-16T08:06:56","guid":{"rendered":"https:\/\/agora.xtec.cat\/escolasaavedra\/?p=33322"},"modified":"2026-01-19T17:52:30","modified_gmt":"2026-01-19T16:52:30","slug":"geometria-viva-amb-pcmat-de-lscratch-a-la-creacio-de-mandales-cs","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/escolasaavedra\/general\/geometria-viva-amb-pcmat-de-lscratch-a-la-creacio-de-mandales-cs\/","title":{"rendered":"Geometria Viva amb PCMAT: De l\u2019Scratch a la creaci\u00f3 de Mandales (CS)"},"content":{"rendered":"<div data-start-index=\"245\">En el marc del programa <strong>PCMAT (Pensament Computacional amb Matem\u00e0tiques)<\/strong>, l\u2019alumnat de 5\u00e8 i 6\u00e8 de prim\u00e0ria ha transformat l&#8217;aula en un laboratori de creaci\u00f3 digital. Aquesta iniciativa no nom\u00e9s busca el domini de la tecnologia, sin\u00f3 l&#8217;aprofundiment en conceptes matem\u00e0tics a trav\u00e9s de la programaci\u00f3.<\/div>\n<div data-start-index=\"245\"><\/div>\n<div data-start-index=\"245\"><\/div>\n<div role=\"heading\" data-start-index=\"545\" aria-level=\"3\"><strong>Geometria i programaci\u00f3: Un t\u00e0ndem creatiu<\/strong><\/div>\n<div data-start-index=\"587\">L&#8217;eix central del nostre treball ha estat la geometria combinada amb el llenguatge Scratch. Aquesta eina ha perm\u00e8s als alumnes experimentar de manera pr\u00e0ctica amb conceptes que, sovint, resulten abstractes:<\/div>\n<div style=\"padding-left: 40px;\" data-start-index=\"793\">\u2022 <strong>Moviments en el pla<\/strong>: Hem treballat a fons les rotacions, translacions i simetries.<\/div>\n<div style=\"padding-left: 40px;\" data-start-index=\"875\">\u2022 <strong>Exploraci\u00f3 de formes<\/strong>: Hem analitzat les propietats dels pol\u00edgons regulars i irregulars.<\/div>\n<div data-start-index=\"875\"><\/div>\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"962\">El punt culminant d&#8217;aquest aprenentatge ha estat el dissen<span class=\"ng-star-inserted\" data-start-index=\"962\">y de<\/span><b class=\"ng-star-inserted\" data-start-index=\"1025\">\u00a0mosaics<\/b><span class=\"ng-star-inserted\" data-start-index=\"1043\">. Els alumnes han programat unitats de repetici\u00f3 formades per diverses figures geom\u00e8triques que, tot combinant girs i simetries, han donat lloc a composicions visuals complexes i harmonioses.<\/span><\/div>\n<div data-start-index=\"962\"><\/div>\n<div class=\"paragraph heading3 ng-star-inserted\" role=\"heading\" data-start-index=\"1234\" aria-level=\"3\"><b class=\"ng-star-inserted\" data-start-index=\"1234\">Un model d&#8217;aprenentatge acompanyat<\/b><\/div>\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"1268\"><span class=\"ng-star-inserted\" data-start-index=\"1268\">Per assolir aquests reptes, hem seguit una metodologia de col\u00b7laboraci\u00f3 constant:<\/span><\/div>\n<div class=\"paragraph normal ng-star-inserted\" style=\"padding-left: 40px;\" data-start-index=\"1349\"><span class=\"ng-star-inserted\">\u2022 <\/span><b class=\"ng-star-inserted\" data-start-index=\"1349\">Mentoritzaci\u00f3 externa:<\/b><span class=\"ng-star-inserted\" data-start-index=\"1371\"> Una <\/span><b class=\"ng-star-inserted\" data-start-index=\"1376\">mestra mentora<\/b><span class=\"ng-star-inserted\" data-start-index=\"1390\"> ens visita <\/span><b class=\"ng-star-inserted\" data-start-index=\"1402\">quinzenalment<\/b><span class=\"ng-star-inserted\" data-start-index=\"1415\"> per atendre els alumnes i supervisar els projectes t\u00e8cnics.<\/span><\/div>\n<div class=\"paragraph normal ng-star-inserted\" style=\"padding-left: 40px;\" data-start-index=\"1475\"><span class=\"ng-star-inserted\">\u2022 <\/span><b class=\"ng-star-inserted\" data-start-index=\"1475\">Continu\u00eftat al centre:<\/b><span class=\"ng-star-inserted\" data-start-index=\"1497\"> Les setmanes que la mentora no \u00e9s a l&#8217;escola, som els <\/span><b class=\"ng-star-inserted\" data-start-index=\"1552\">mestres del centre<\/b><span class=\"ng-star-inserted\" data-start-index=\"1570\"> els qui liderem les sessions, assegurant que el proc\u00e9s de disseny i programaci\u00f3 no s&#8217;aturi.<\/span><\/div>\n<div data-start-index=\"1475\"><\/div>\n<div class=\"paragraph heading3 ng-star-inserted\" role=\"heading\" data-start-index=\"1662\" aria-level=\"3\"><b class=\"ng-star-inserted\" data-start-index=\"1662\">Evid\u00e8ncies de treball<\/b><\/div>\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"1683\"><span class=\"ng-star-inserted\" data-start-index=\"1683\">El progr\u00e9s d&#8217;aquest projecte de geometria i pensament computacional queda reflectit en els seg\u00fcents blocs d&#8217;evid\u00e8ncies:<\/span><\/div>\n<div data-start-index=\"1683\"><\/div>\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"1802\"><span class=\"ng-star-inserted\">1. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1802\">Fonaments (Evid\u00e8ncies de la T1):<\/b><span class=\"ng-star-inserted\" data-start-index=\"1834\"> V\u00eddeo que documenta els primers contactes amb Scratch i l&#8217;exploraci\u00f3 de les propietats geom\u00e8triques b\u00e0siques<\/span><span class=\"ng-star-inserted\" data-start-index=\"1943\">.<\/span><\/div>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/rS5l2eLvbYs?si=R1hRbjQJ2z3y73zj\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div data-start-index=\"2137\">\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"1944\"><span class=\"ng-star-inserted\">2. <\/span><b class=\"ng-star-inserted\" data-start-index=\"1944\">Desenvolupament (Evid\u00e8ncies de la PD1):<\/b><span class=\"ng-star-inserted\" data-start-index=\"1983\"> En aquesta fase de <\/span><b class=\"ng-star-inserted\" data-start-index=\"2003\">Producci\u00f3 i Disseny<\/b><span class=\"ng-star-inserted\" data-start-index=\"2022\">, es pot observar com l&#8217;alumnat comen\u00e7a a programar les primeres rotacions i simetries per crear els seus dissenys<\/span><span class=\"ng-star-inserted\" data-start-index=\"2136\">.<\/span><\/div>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/Y-yQEI1T6e0?si=dqfUNyA4i90ouVi7\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<div data-start-index=\"2137\"><\/div>\n<div class=\"paragraph normal ng-star-inserted\" data-start-index=\"2137\"><span class=\"ng-star-inserted\">3. <\/span><b class=\"ng-star-inserted\" data-start-index=\"2137\">Resultats Finals (Evid\u00e8ncies):<\/b><span class=\"ng-star-inserted\" data-start-index=\"2167\"> La s\u00edntesi de tot el treball, on es mostren els <\/span><b class=\"ng-star-inserted\" data-start-index=\"2216\">mandales i mosaics<\/b><span class=\"ng-star-inserted\" data-start-index=\"2234\"> acabats com a prova de la consolidaci\u00f3 dels conceptes matem\u00e0tics i de programaci\u00f3<\/span><\/div>\n<p style=\"text-align: center;\"><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/sjzSCEaXcCQ?si=SsUC2xFvcA4Cj4t6\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n","protected":false},"excerpt":{"rendered":"<p>En el marc del programa PCMAT (Pensament Computacional amb Matem\u00e0tiques), l\u2019alumnat de 5\u00e8 i 6\u00e8 de prim\u00e0ria ha transformat l&#8217;aula en un laboratori de creaci\u00f3 digital. Aquesta iniciativa no nom\u00e9s busca el domini de la tecnologia, sin\u00f3 l&#8217;aprofundiment en conceptes matem\u00e0tics a trav\u00e9s de la programaci\u00f3.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","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,"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":""},"categories":[14,15,26,27,1,257,4,5,249],"tags":[],"class_list":["post-33322","post","type-post","status-publish","format-standard","hentry","category-5e","category-6e","category-cicle-superior","category-ceip-saavedra","category-general","category-matematiques","category-portada","category-primaria","category-scratch"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/posts\/33322","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/comments?post=33322"}],"version-history":[{"count":7,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/posts\/33322\/revisions"}],"predecessor-version":[{"id":33352,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/posts\/33322\/revisions\/33352"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/media?parent=33322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/categories?post=33322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolasaavedra\/wp-json\/wp\/v2\/tags?post=33322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}