{"id":15372,"date":"2025-12-16T19:14:27","date_gmt":"2025-12-16T18:14:27","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesmontsacopa\/?p=15372"},"modified":"2025-12-16T19:14:27","modified_gmt":"2025-12-16T18:14:27","slug":"xerrada-sobre-linfinit-a-batxillerat","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesmontsacopa\/general\/xerrada-sobre-linfinit-a-batxillerat\/","title":{"rendered":"Xerrada sobre l\u2019infinit a Batxillerat"},"content":{"rendered":"<p style=\"text-align: justify;\">Els passats dies 2 i 15 de desembre va tenir lloc a l\u2019INS Montsacopa una xerrada molt interessant sobre el concepte d\u2019infinit per part de la Mireia Pujol, estudiant d\u2019\u00faltim curs del grau de Matem\u00e0tiques de la UPC. Va estar dirigida a l\u2019alumnat de 1r i 2n curs de Batxillerat Cient\u00edfic Tecnol\u00f2gic.<\/p>\n<p style=\"text-align: justify;\">La Mireia Pujol va explorar l\u2019infinit fent veure a l\u2019alumnat que n\u2019hi ha de diferents tipus, com el numerable i el no numerable, i que encara que sembli sorprenent, un \u00e9s m\u00e9s gran que l\u2019altre, malgrat no siguin valors num\u00e8rics.<\/p>\n<p style=\"text-align: justify;\">Per fer veure aquesta difer\u00e8ncia i per reflexionar sobre les propietats sorprenents de l\u2019infinit va utilitzar el concepte intu\u00eftiu de bijecci\u00f3 entre dos conjunts o el fam\u00f3s Hotel de Hilbert.<\/p>\n<p><a href=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-15374\" src=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-1024x768.jpg\" alt=\"\" width=\"1024\" height=\"768\" srcset=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-1536x1152.jpg 1536w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT.jpg 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a> <a href=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-15375\" src=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2-768x1024.jpg\" alt=\"\" width=\"768\" height=\"1024\" srcset=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2-1152x1536.jpg 1152w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/1-BAT-CT_2.jpg 1200w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/a> <a href=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-15376\" src=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-1024x768.jpg\" alt=\"\" width=\"1024\" height=\"768\" srcset=\"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-1536x1152.jpg 1536w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-content\/uploads\/usu944\/2025\/12\/2-BAT-CT.jpg 1600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Els passats dies 2 i 15 de desembre va tenir lloc a l\u2019INS Montsacopa una xerrada molt interessant sobre el concepte d\u2019infinit per part de la Mireia Pujol, estudiant d\u2019\u00faltim curs del grau de Matem\u00e0tiques de la UPC. Va estar dirigida a l\u2019alumnat de 1r i 2n curs de Batxillerat Cient\u00edfic Tecnol\u00f2gic. La Mireia Pujol [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":15375,"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":"","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 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":[86,8,1,29],"tags":[120,133,90,41,44],"class_list":["post-15372","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-alumnat","category-batxillerat","category-general","category-portada","tag-activitats","tag-batxibac","tag-batxillerat","tag-matematiques","tag-xerrades"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/15372","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/comments?post=15372"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/15372\/revisions"}],"predecessor-version":[{"id":15377,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/15372\/revisions\/15377"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/media\/15375"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/media?parent=15372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/categories?post=15372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/tags?post=15372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}