{"id":19013,"date":"2026-06-12T12:28:05","date_gmt":"2026-06-12T10:28:05","guid":{"rendered":"https:\/\/agora.xtec.cat\/escjoanmaragall\/?p=19013"},"modified":"2026-06-16T13:26:55","modified_gmt":"2026-06-16T11:26:55","slug":"laberints-matmatics","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/","title":{"rendered":"LABERINTS MATEM\u00c0TICS"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">En aquesta proposta de PCMAT, l\u2019alumnat de 5\u00e8 ha explorat els laberints com a objectes matem\u00e0tics: no nom\u00e9s com a jocs, sin\u00f3 com a estructures que es poden <\/span><b>analitzar, classificar, resoldre i dissenyar<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La idea clau \u00e9s fer emergir que:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">resoldre un laberint \u00e9s seguir un <\/span><b>algorisme<\/b><span style=\"font-weight: 400;\">,<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">dissenyar-lo implica anticipar <\/span><b>decisions i recorreguts<\/b><span style=\"font-weight: 400;\">,<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">i validar-lo requereix pensar com un <\/span><b>explorador sistem\u00e0tic<\/b><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">El recorregut va des de comptar camins fins a construir estrat\u00e8gies generals<\/span><span style=\"font-weight: 400;\"> culminant en el disseny d\u2019un laberint propi i programar el Codey-Rocky per validar-lo amb criteris matem\u00e0tics.<\/span><\/p>\n\n\t\t<style type=\"text\/css\">\n\t\t\t#gallery-1 {\n\t\t\t\tmargin: auto;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-item {\n\t\t\t\tfloat: left;\n\t\t\t\tmargin-top: 10px;\n\t\t\t\ttext-align: center;\n\t\t\t\twidth: 33%;\n\t\t\t}\n\t\t\t#gallery-1 img {\n\t\t\t\tborder: 2px solid #cfcfcf;\n\t\t\t}\n\t\t\t#gallery-1 .gallery-caption {\n\t\t\t\tmargin-left: 0;\n\t\t\t}\n\t\t\t\/* see gallery_shortcode() in wp-includes\/media.php *\/\n\t\t<\/style>\n\t\t<div id='gallery-1' class='gallery galleryid-19013 gallery-columns-3 gallery-size-medium'><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/attachment\/whatsapp-image-2026-05-25-at-10-57-15-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"376\" src=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.15-1-501x376.jpeg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.15-1-501x376.jpeg 501w, 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https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.15.jpeg 1600w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/attachment\/whatsapp-image-2026-05-25-at-10-57-16\/'><img loading=\"lazy\" decoding=\"async\" width=\"501\" height=\"376\" src=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-501x376.jpeg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-501x376.jpeg 501w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-1024x768.jpeg 1024w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-768x576.jpeg 768w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-1536x1152.jpeg 1536w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16-200x150.jpeg 200w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-05-25-at-10.57.16.jpeg 1600w\" sizes=\"auto, (max-width: 501px) 100vw, 501px\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/attachment\/whatsapp-image-2026-06-12-at-10-34-58-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"376\" src=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-2-282x376.jpeg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-2-282x376.jpeg 282w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-2-768x1024.jpeg 768w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-2-1152x1536.jpeg 1152w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-2.jpeg 1536w\" sizes=\"auto, (max-width: 282px) 100vw, 282px\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/attachment\/whatsapp-image-2026-06-12-at-10-34-58-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"376\" src=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-1-282x376.jpeg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-1-282x376.jpeg 282w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-1-768x1024.jpeg 768w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-1-1152x1536.jpeg 1152w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.58-1.jpeg 1536w\" sizes=\"auto, (max-width: 282px) 100vw, 282px\" \/><\/a>\n\t\t\t<\/dt><\/dl><dl class='gallery-item'>\n\t\t\t<dt class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/attachment\/whatsapp-image-2026-06-12-at-10-34-57\/'><img loading=\"lazy\" decoding=\"async\" width=\"282\" height=\"376\" src=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.57-282x376.jpeg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.57-282x376.jpeg 282w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.57-768x1024.jpeg 768w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.57-1152x1536.jpeg 1152w, https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-content\/uploads\/usu115\/2026\/06\/WhatsApp-Image-2026-06-12-at-10.34.57.jpeg 1536w\" sizes=\"auto, (max-width: 282px) 100vw, 282px\" \/><\/a>\n\t\t\t<\/dt><\/dl><br style=\"clear: both\" \/>\n\t\t<\/div>\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>En aquesta proposta de PCMAT, l\u2019alumnat de 5\u00e8 ha explorat els laberints com a objectes matem\u00e0tics: no nom\u00e9s com a jocs, sin\u00f3 com a estructures que es poden analitzar, classificar, resoldre i dissenyar.<br \/>\nLa idea clau \u00e9s fer emergir que:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">resoldre un laberint \u00e9s&hellip;  <a href=\"https:\/\/agora.xtec.cat\/escjoanmaragall\/portada\/laberints-matmatics\/\" title=\"Read LABERINTS MATEM\u00c0TICS\">Llegeix m\u00e9s\u00bb<\/a><br \/>\n","protected":false},"author":98,"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,"footnotes":""},"categories":[213,569,23,674,4],"tags":[],"class_list":["post-19013","post","type-post","status-publish","format-standard","hentry","category-5e","category-569","category-ciclesuperior","category-lleida","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/posts\/19013","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/users\/98"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/comments?post=19013"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/posts\/19013\/revisions"}],"predecessor-version":[{"id":19033,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/posts\/19013\/revisions\/19033"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/media?parent=19013"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/categories?post=19013"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escjoanmaragall\/wp-json\/wp\/v2\/tags?post=19013"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}