{"id":10615,"date":"2023-05-27T18:23:01","date_gmt":"2023-05-27T16:23:01","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceiplledoner\/?p=10615"},"modified":"2023-06-05T13:45:36","modified_gmt":"2023-06-05T11:45:36","slug":"multipliquem-amb-reglets","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ceiplledoner\/general\/multipliquem-amb-reglets\/","title":{"rendered":"Multipliquem amb reglets"},"content":{"rendered":"<p>Aprenem matem\u00e0tiques fent \u00fas dels reglets, una manera que ens permet passar m\u00e9s coherentment per les fases d&#8217;aprenentatge desenvolupades per Pau Call\u00eds*.<\/p>\n<p>Una manera d&#8217;entendre les matem\u00e0tiques, una manera d&#8217;entendre el m\u00f3n que ens envolta.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/multipliquem-amb-reglets.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-10616\" src=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/multipliquem-amb-reglets.jpg\" alt=\"\" width=\"357\" height=\"466\" srcset=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/multipliquem-amb-reglets.jpg 357w, https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/multipliquem-amb-reglets-230x300.jpg 230w\" sizes=\"auto, (max-width: 357px) 100vw, 357px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p><strong>*Pels que voleu saber una mica m\u00e9s&#8230;<\/strong><\/p>\n<p><span style=\"font-weight: 400\">Els nombres com els c\u00e0lculs num\u00e8rics acaben sent <\/span><b>construccions abstractes<\/b><span style=\"font-weight: 400\"> que s\u2019han d\u2019anar acompanyant, si volem consolidar un bon <\/span><b>llenguatge matem\u00e0tic <\/b><span style=\"font-weight: 400\">aix\u00ed com una <\/span><b>bona compet\u00e8ncia matem\u00e0tica<\/b><span style=\"font-weight: 400\">, \u00e9s indispensable<\/span><b> acompanyar <\/b><span style=\"font-weight: 400\">els infants pels diferents processos cognitius fins a arribar a la generalitzaci\u00f3, on tindr\u00e0 molta m\u00e9s autonomia per moure&#8217;s en el camp matem\u00e0tic.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">Tal com defensa<\/span> <b>Josep Call\u00eds,<\/b><span style=\"font-weight: 400\"> mestre de Rosa Sensat i coordinador de a+a+ <\/span><span style=\"font-weight: 400\">fins al 1994 i professor de Did\u00e0ctica de les Matem\u00e0tiques a l&#8217;UdG des de 1987. \u00c9s indispensable que l&#8217;infant passi per les seg\u00fcents fases:<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><b>a) Vivenciaci\u00f3<\/b><span style=\"font-weight: 400\"> Fase en que l\u2019alumnat \u00e9s el <\/span><span style=\"font-weight: 400\">protagonista directe<\/span><span style=\"font-weight: 400\">, sobre el qual recau el problema. Partim de les pr\u00f2pies viv\u00e8ncies, sense cap mena de representaci\u00f3, i anem verbalitzant amb llenguatge matem\u00e0tic all\u00f2 que vivim.<\/span><\/p>\n<p><b>b) Manipulaci\u00f3.<\/b><span style=\"font-weight: 400\"> Context en qu\u00e8 la situaci\u00f3 viscuda es<\/span><span style=\"font-weight: 400\"> trasllada a realitats d\u2019objectes materials<\/span><span style=\"font-weight: 400\">. Es pot manipular amb reglets, mongetes, botons, etc. Es recomana objectes prou grans per facilitar i visibilitzar la manipulaci\u00f3, no fer servir grans d\u2019arr\u00f2s. El problema matem\u00e0tic es podr\u00e0 resoldre, manipulant.<\/span><\/p>\n<p><b>c) Simbolitzaci\u00f3<\/b><span style=\"font-weight: 400\">. Fase en que es treballa substituint la realitat per <\/span><span style=\"font-weight: 400\">elements que la representen<\/span><span style=\"font-weight: 400\"> com poden ser les <\/span><span style=\"font-weight: 400\">explicacions orals, gr\u00e0fiques o amb llenguatge matem\u00e0tic<\/span><span style=\"font-weight: 400\">. Deixem un espai per simbolitzar i extraiem\u00a0<\/span><\/p>\n<p><b>d) Abstracci\u00f3.<\/b><span style=\"font-weight: 400\"> Estadi resolutori amb l\u2019\u00fas de la<\/span><span style=\"font-weight: 400\"> simbolitzaci\u00f3 del llenguatge matem\u00e0tic<\/span><span style=\"font-weight: 400\"> i les t\u00e8cniques algor\u00edsmiques adients.<\/span><\/p>\n<p><b>e) Generalitzaci\u00f3.<\/b><span style=\"font-weight: 400\"> A partir de l\u2019an\u00e0lisi de diversos casos particulars i de la recollida dels seus resultats<\/span><span style=\"font-weight: 400\"> s\u2019abstreuen conclusions generals q<\/span><span style=\"font-weight: 400\">ue permeten crear coneixements i generar o formular lleis, molt \u00fatils per altres situacions semblants.\u00a0<\/span><\/p>\n<p><a href=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/Pau-Callis.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-10617 aligncenter\" src=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/Pau-Callis.jpg\" alt=\"\" width=\"649\" height=\"359\" srcset=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/Pau-Callis.jpg 649w, https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/Pau-Callis-300x166.jpg 300w\" sizes=\"auto, (max-width: 649px) 100vw, 649px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aprenem matem\u00e0tiques fent \u00fas dels reglets, una manera que ens permet passar m\u00e9s coherentment per les fases d&#8217;aprenentatge desenvolupades per Pau Call\u00eds*.<br \/>\nUna manera d&#8217;entendre les matem\u00e0tiques, una manera d&#8217;entendre el m\u00f3n que ens envolta.<br \/>\n<a href=\"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-content\/uploads\/usu1347\/2023\/05\/multipliquem-amb-reglets.jpg\"><\/a><br \/>\n&nbsp;<br \/>\n&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<br \/>\n*Pels que voleu saber una mica m\u00e9s&#8230;<br \/>\nEls nombres com els c\u00e0lculs&hellip;  <a href=\"https:\/\/agora.xtec.cat\/ceiplledoner\/general\/multipliquem-amb-reglets\/\" title=\"Read Multipliquem amb reglets\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":55,"featured_media":10616,"comment_status":"open","ping_status":"closed","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":[1],"tags":[],"class_list":["post-10615","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-general"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/posts\/10615","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/users\/55"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/comments?post=10615"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/posts\/10615\/revisions"}],"predecessor-version":[{"id":10624,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/posts\/10615\/revisions\/10624"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/media\/10616"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/media?parent=10615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/categories?post=10615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ceiplledoner\/wp-json\/wp\/v2\/tags?post=10615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}