{"id":14731,"date":"2025-06-03T09:03:31","date_gmt":"2025-06-03T07:03:31","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesmontsacopa\/?p=14731"},"modified":"2025-06-03T10:53:24","modified_gmt":"2025-06-03T08:53:24","slug":"22e-premi-poincare-2025-de-la-upc","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesmontsacopa\/general\/22e-premi-poincare-2025-de-la-upc\/","title":{"rendered":"22\u00e8 Premi Poincar\u00e9 2025 de la UPC"},"content":{"rendered":"

L\u2019Agn\u00e8s Gal, de 2n de Batxillerat, ha guanyat el 1r premi del Treball de Recerca de la 22a edici\u00f3 dels Premis Poincar\u00e9 de la Universitat Polit\u00e8cnica de Catalunya.<\/p>\n

El premi est\u00e0 dotat d\u2019una quantitat econ\u00f2mica tant per a l\u2019autora com per al tutor del treball, del diploma corresponent i d\u2019altres obsequis.<\/p>\n

El treball es titula \u201cDE LA FUNCI\u00d3 A LA PE\u00c7A: Construcci\u00f3 de les figures d\u2019escacs amb funcions matem\u00e0tiques<\/a>\u201d.<\/p>\n

S\u2019inicia l\u2019estudi amb una breu hist\u00f2ria sobre el concepte de funci\u00f3 real de variable real, i seguidament se n\u2019exploren les operacions i les transformacions algebraiques m\u00e9s importants. Explicat de manera molt pedag\u00f2gica, visual i sense perdre el rigor que donen els conceptes te\u00f2rics fonamentals i la notaci\u00f3 matem\u00e0tica adient.<\/p>\n

A continuaci\u00f3, es mostren les funcions m\u00e9s rellevants i algunes de les seves aplicacions reals significatives en diferents \u00e0mbits quotidians i cient\u00edfics. Aix\u00f2 facilita que el lector percebi l\u2019enorme incid\u00e8ncia que tenen les funcions en la societat actual.<\/p>\n

Tot seguit, es defineix amb precisi\u00f3 i alhora amb imatges aclaridores els conceptes de l\u00edmit, continu\u00eftat i derivabilitat d\u2019una funci\u00f3, aix\u00ed com la integral de Riemann.<\/p>\n

En la part pr\u00e0ctica, fent \u00fas b\u00e0sicament del GeoGebra, es desenvolupa el disseny de cada pe\u00e7a dels escacs mitjan\u00e7ant funcions i els conceptes treballats en la part te\u00f2rica. A m\u00e9s, es calcula, mitjan\u00e7ant integrals, els volums de cada figura representada en 3D.<\/p>\n

Finalment, es procedeix a la impressi\u00f3 en 3D del joc complet d\u2019escacs a partir dels models digitals obtinguts.<\/p>\n

En definitiva, aquest treball dibuixa un cam\u00ed de transformacions conceptuals que parteix del concepte te\u00f2ric de funci\u00f3 i finalitza amb la construcci\u00f3 efectiva de les peces, dues idees aparentment llunyanes i sorprenentment connectades.<\/p>\n

A m\u00e9s, aquest recorregut permet interpretar de manera clara i motivadora una part important de l\u2019an\u00e0lisi de 2n de batxillerat de ci\u00e8ncies i tecnologia i, alhora, fer expl\u00edcites algunes relacions directes entre les matem\u00e0tiques i l\u2019economia, la f\u00edsica, la qu\u00edmica, la medicina i la tecnologia.<\/p>\n

Moltes felicitats, Agn\u00e8s !<\/p>\n\n\n\n
\"\"<\/a><\/td>\n\"\"<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

L\u2019Agn\u00e8s Gal, de 2n de Batxillerat, ha guanyat el 1r premi del Treball de Recerca de la 22a edici\u00f3 dels Premis Poincar\u00e9 de la Universitat Polit\u00e8cnica de Catalunya. El premi est\u00e0 dotat d\u2019una quantitat econ\u00f2mica tant per a l\u2019autora com per al tutor del treball, del diploma corresponent i d\u2019altres obsequis. El treball es titula […]<\/p>\n","protected":false},"author":1,"featured_media":14736,"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,"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":[90,41,95,162],"class_list":["post-14731","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-alumnat","category-batxillerat","category-general","category-portada","tag-batxillerat","tag-matematiques","tag-premis","tag-treball-de-recerca"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/14731","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=14731"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/14731\/revisions"}],"predecessor-version":[{"id":14739,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/posts\/14731\/revisions\/14739"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/media\/14736"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/media?parent=14731"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/categories?post=14731"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesmontsacopa\/wp-json\/wp\/v2\/tags?post=14731"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}