{"id":9966,"date":"2018-12-12T13:52:54","date_gmt":"2018-12-12T12:52:54","guid":{"rendered":"http:\/\/serveiseducatius.xtec.cat\/vallesoriental1\/?p=9966"},"modified":"2018-12-12T13:54:29","modified_gmt":"2018-12-12T12:54:29","slug":"matematiques-competencials-1-lluis-mora","status":"publish","type":"post","link":"https:\/\/serveiseducatius.xtec.cat\/vallesoriental1\/sem-c-de-voi\/matematiques-competencials-1-lluis-mora\/","title":{"rendered":"Matem\u00e0tiques Competencials 1 &#8211; Llu\u00eds Mora"},"content":{"rendered":"<p><b>Formaci\u00f3 \u201cMatem\u00e0tiques competencials &#8211; Dimensions\u201d a c\u00e0rrec de Llu\u00eds Mora<\/b><\/p>\n<p><b>Programa de la formaci\u00f3:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Sessi\u00f3 1 dia 3 octubre 2018<\/span><\/i>\n<ul style=\"list-style-type: square;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Presentaci\u00f3 i objectius<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Dimensions i compet\u00e8ncies<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\"><i><span style=\"font-weight: 400;\">Sessi\u00f3 2 dia 7 novembre 2018<\/span><\/i>\n<ul style=\"list-style-type: square;\">\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Activitats matem\u00e0tqiues<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Dissenyar i\/o millorar activitats<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Valoraci\u00f3 de les activitats<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><b>Objectius<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Comprendre les compet\u00e8ncies i les dimensions<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Aplicar eines d\u2019an\u00e0lisi per determinar les compet\u00e8ncies<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"> Analitzar resultats per explicar i debatre<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Avaluar els m\u00e8todes aplicats i els resultats obtinguts, amb visi\u00f3 cr\u00edtica<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Dissenyar un proc\u00e9s d\u2019avaluaci\u00f3 d\u2019un conjunt d\u2019activitats<\/span><\/li>\n<\/ul>\n<p><b>Documents de la sessi\u00f3 1:<\/b><\/p>\n<p>a) Compet\u00e8ncies b\u00e0siques <a href=\"https:\/\/drive.google.com\/open?id=1wrvDTfXaXKizqAtuJ2HbTQ-XyitvVC7-\">https:\/\/drive.google.com\/open?id=1wrvDTfXaXKizqAtuJ2HbTQ-XyitvVC7-<\/a><\/p>\n<p>b) Curr\u00edculum i continguts clau: <a href=\"https:\/\/drive.google.com\/open?id=1CB1VOzsD7cDXEf6xw-HSB7p2NC1dVns_\">https:\/\/drive.google.com\/open?id=1CB1VOzsD7cDXEf6xw-HSB7p2NC1dVns_<\/a><\/p>\n<p>c) Dimensions i compet\u00e8ncies: <a href=\"https:\/\/drive.google.com\/open?id=19nPkkPW15_x7ws8731h2nJaz67CePZwU\">https:\/\/drive.google.com\/open?id=19nPkkPW15_x7ws8731h2nJaz67CePZwU<\/a><\/p>\n<p>d) Activitats matem\u00e0tiques d&#8217;exemple <a href=\"https:\/\/drive.google.com\/open?id=1fsXQ5UHQgqHxioa-JkPhCy17Bf2RS_ZZPB6b6qJTpeM\">https:\/\/drive.google.com\/open?id=1fsXQ5UHQgqHxioa-JkPhCy17Bf2RS_ZZPB6b6qJTpeM<\/a><\/p>\n<p><b>Carpeta al drive on romandr\u00e0 tot el material:<\/b><\/p>\n<p><a href=\"https:\/\/drive.google.com\/open?id=1sx3B2WJlUiDzwt_BlO95MQyfUwAfpcnx\">https:\/\/drive.google.com\/open?id=1sx3B2WJlUiDzwt_BlO95MQyfUwAfpcnx<\/a><\/p>\n<p><b>Metodologia de treball<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Basada en aquesta publicaci\u00f3:<\/span><\/p>\n<p><b>ALSINA, CLAUDI; BURGUES, CARME; FORTUNY, JOSEP M\u00aa, (1988) <\/b><span style=\"font-weight: 400;\">MATERIALES PARA CONSTRUIR LA GEOMETRIA N\u00ba 11 <\/span><b>SINTESIS EDITORIAL<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Es tracta d\u2019una metodologia d\u2019aula-taller o de laboratori:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Introducci\u00f3 del tema o de l\u2019objectiu<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Presentaci\u00f3 de temes a treballar<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Treball individual i en petit grup<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Discussi\u00f3 i contrast en gran grup<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Conclusions en una posta en com\u00fa<\/span><\/li>\n<\/ul>\n<ol>\n<li><b>Qu\u00e8 entenem per dimensions?<\/b><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">Processos matem\u00e0tics:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Resoluci\u00f3 de problemes<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Raonament i proves<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Connexions<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Comunicaci\u00f3 i representaci\u00f3<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Totes les dimensions s\u2019han de treballar sempre, el que no vol dir que ho avaluem tot sempre. Els grans blocs de continguts estan tots connectats entre ells.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La <\/span><i><span style=\"font-weight: 400;\">representaci\u00f3<\/span><\/i><span style=\"font-weight: 400;\"> \u00e9s un concepte ampli que supera la idea de fer gr\u00e0fics o imatges, o la representaci\u00f3 num\u00e8rica, o un text que ho expliqui, vol dir visualitzar les idees matem\u00e0tiques.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La <\/span><i><span style=\"font-weight: 400;\">resoluci\u00f3 de problemes<\/span><\/i><span style=\"font-weight: 400;\"> pot ser una metodologia per aprendre matem\u00e0tiques, per\u00f2 la recerca diu que no millora significativament l\u2019aprenentatge. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">El <\/span><i><span style=\"font-weight: 400;\">raonament i prova<\/span><\/i><span style=\"font-weight: 400;\"> \u00e9s el m\u00e8tode que fem servir per desenvolupar i codificar coneixements. Ha de ser un treball consistent de treball matem\u00e0tic.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Les <\/span><i><span style=\"font-weight: 400;\">connexions<\/span><\/i><span style=\"font-weight: 400;\"> ens proporcionen coneixement m\u00e9s profund i durador, perqu\u00e8 les matem\u00e0tiques no s\u00f3n una col\u00b7lecci\u00f3 d\u2019apartats a\u00efllats. Exemple: En qu\u00e8 s\u2019assembla aquest problema amb els que has estudiat fins ara? En contextos matem\u00e0tics o no. Exemple: Quantes vegades ha bategat el cor d\u2019una persona al llarg de la seva vida? Aquest problema \u00e9s un projecte en si mateix, per\u00f2 el podem reduir a problema nom\u00e9s. si volem que sigui un projecte, hi podem fer entrar una gran quantitat de factors: edat, lloc, sexe, tipus de vida\u2026. hi intervenen tants factors que ho poden transformar en un projecte ampl\u00edssim.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">La <\/span><i><span style=\"font-weight: 400;\">comunicaci\u00f3<\/span><\/i><span style=\"font-weight: 400;\"> tant oral com escrita \u00e9s una part essencial. Hi formen part:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">consolidar i organitzar el pensament matem\u00e0tic<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">comunicar el pensament \u00a0amb coher\u00e8ncia<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">analitzar i avaluar el pensament matem\u00e0tic dels altres<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">utilitzar el llenguatge matem\u00e0tic amb precisi\u00f3<\/span><\/li>\n<\/ul>\n<p><b>2. Qu\u00e8 entenem per compet\u00e8ncies?<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Quines accions han de fer els estudiants per aprendre matem\u00e0tiques? Treballem amb el document que <\/span><a href=\"https:\/\/drive.google.com\/file\/d\/1PRa4nfGO2gKCuO6OBZA8EH1ZAcESqFJT\/view?usp=sharing\"><span style=\"font-weight: 400;\">relaciona les compet\u00e8ncies amb les dimensions<\/span><\/a><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Com a recomanaci\u00f3:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">fer una gradaci\u00f3 del qu\u00e8 s\u2019ha de fer durant el curs<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">no avaluar tot amb cada activitat<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">no programar totes les dimensions en cada unitat<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">no avaluar tote les dimensions en cada unitat\/trimestre<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">tot i treballar-ho tot en conjunt en alguns temes, no avaluar-ho tot cada vegada que avaluem<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Ens recomana el llibre de Emma Castellnuovo de geometria.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Competencies: accions per aprendre<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dimensions: processos matem\u00e0tics<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Treballem amb el <\/span><strong><a href=\"https:\/\/docs.google.com\/document\/d\/16O6NMCEhppkOndWIEsgMpiRz8X7DdMuIE0eKVpXmN1M\/edit?usp=sharing\">document de problemes<\/a><\/strong><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Cada grup treballa un problema i la pregunta que hem de respondre \u00e9s aquesta: qu\u00e8 necessitem saber per planificar-lo.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Posteriorment, treballem amb les compet\u00e8ncies i decidim quines treballem a cada apartat:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Resoluci\u00f3 de problemes &#8211; \u00a0compet\u00e8ncies 1 i 3<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Representaci\u00f3 &#8211; compet\u00e8ncies 8, 9 i 10<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Raonament i prova &#8211; compet\u00e8ncies 5<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Connexions &#8211; compet\u00e8ncies 6 i 7<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Formaci\u00f3 \u201cMatem\u00e0tiques competencials &#8211; Dimensions\u201d a c\u00e0rrec de Llu\u00eds Mora Programa de la formaci\u00f3: Sessi\u00f3 1 dia 3 octubre 2018 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":9967,"comment_status":"closed","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,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","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":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","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 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