{"id":37183,"date":"2026-03-02T18:53:32","date_gmt":"2026-03-02T17:53:32","guid":{"rendered":"https:\/\/agora.xtec.cat\/escolamartamata\/?p=37183"},"modified":"2026-03-02T18:53:32","modified_gmt":"2026-03-02T17:53:32","slug":"de-la-tradicio-a-la-gran-pregunta-365-dies-per-descobrir","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/escolamartamata\/rovellons2425\/25-26-marta-que-hi-ha-avui-per-dinar\/de-la-tradicio-a-la-gran-pregunta-365-dies-per-descobrir\/","title":{"rendered":"DE LA TRADICI\u00d3 A LA GRAN PREGUNTA: 365 DIES PER DESCOBRIR"},"content":{"rendered":"\n<figure class=\"wp-block-pullquote has-text-align-right\"><blockquote><p><strong>Henri Poincar\u00e9<\/strong><\/p><cite><strong><em>Les matem\u00e0tiques s\u00f3n l\u2019art de donar el mateix nom a coses diferents.<\/em><\/strong><\/cite><\/blockquote><\/figure>\n\n\n\n<p>Els Rovellons han viscut una d\u2019aquelles experi\u00e8ncies que comencen amb una llegenda i acaben convertint-se en una investigaci\u00f3 matem\u00e0tica de deb\u00f2.<\/p>\n\n\n\n<p>Tot va comen\u00e7ar amb la descoberta de la tradici\u00f3 de l\u2019Home dels Nassos, tan arrelada a Vilanova del Cam\u00ed. La llegenda explica que l\u2019\u00faltim dia de l\u2019any apareix un home que t\u00e9 tants nassos com dies t\u00e9 l\u2019any. Amb ulls de Rovellons, van reaccionar immediatament:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>\u2014 <em>Per\u00f2 si un any t\u00e9 365 dies\u2026 hauria de tenir 365 nassos!<\/em><\/strong><\/p>\n\n\n\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile\" style=\"grid-template-columns:auto 32%\"><div class=\"wp-block-media-text__content\">\n<p>I aqu\u00ed va n\u00e9ixer la gran pregunta:&nbsp;<\/p>\n\n\n\n<p><strong><em>\u00c9s veritat que un any t\u00e9 365 dies?<\/em><\/strong><\/p>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"963\" height=\"1024\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20-963x1024.jpg\" alt=\"\" class=\"wp-image-37184 size-full\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20-963x1024.jpg 963w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20-282x300.jpg 282w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20-768x817.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20-1444x1536.jpg 1444w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/20.jpg 1504w\" sizes=\"auto, (max-width: 963px) 100vw, 963px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Pensar abans de comptar<\/h2>\n\n\n\n<p>Abans de llan\u00e7ar-nos a comptar sense rumb, vam aturar-nos a pensar en com ho podem fer. A la rotllana van apar\u00e8ixer quatre estrat\u00e8gies:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"819\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21-1024x819.jpg\" alt=\"\" class=\"wp-image-37185\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21-1024x819.jpg 1024w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21-300x240.jpg 300w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21-768x614.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21-1536x1229.jpg 1536w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/21.jpg 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p>Aquest primer moment va ser clau: planificar abans d\u2019actuar, anticipar dificultats i valorar quin procediment seria m\u00e9s eficient.<\/p>\n\n\n\n<p>Entre tots vam acordar que la tercera opci\u00f3 era la m\u00e9s clara i organitzada: <strong>recollir els dies de cada mes i despr\u00e9s ajuntar-los.<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Recollir dades: del calendari a les regletes<\/h2>\n\n\n\n<p>Per parelles, amb targetes que contenien el nom i el pictograma de cada mes, els Rovellons van consultar el calendari de l\u2019aula i van anotar quants dies tenia cadascun.<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"348\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes-1024x348.jpg\" alt=\"\" class=\"wp-image-37186\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes-1024x348.jpg 1024w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes-300x102.jpg 300w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes-768x261.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes-1536x521.jpg 1536w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/mes.jpg 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p>A partir d\u2019aqu\u00ed, el calendari va deixar de ser nom\u00e9s una eina d\u2019orientaci\u00f3 temporal per convertir-se en una font de dades.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Cada quantitat es va representar amb regletes. El pas del s\u00edmbol (31, 30, 28\u2026) al material manipulatiu va permetre:<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li>Visualitzar les desenes i les unitats.<br><\/li>\n\n\n\n<li>Entendre que 31 no \u00e9s \u201ctrenta-i-u\u201d com una paraula llarga, sin\u00f3 3 desenes i 1 unitat.<br><\/li>\n\n\n\n<li>Preparar el terreny per al que vindria despr\u00e9s.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"715\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22-1024x715.jpg\" alt=\"\" class=\"wp-image-37187\" style=\"width:586px;height:auto\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22-1024x715.jpg 1024w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22-300x209.jpg 300w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22-768x536.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/22.jpg 1264w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\">Ajuntar: quan neix una necessitat matem\u00e0tica<\/h2>\n\n\n\n<p>Amb totes les quantitats representades, va apar\u00e8ixer un nou repte:<\/p>\n\n\n\n<p class=\"has-text-align-center\"><em><strong>Com ho podem ajuntar tot per saber quants dies t\u00e9 l\u2019any?<\/strong><\/em><\/p>\n\n\n\n<p>Aqu\u00ed va emergir de manera natural el concepte de sumar. No com un exercici mec\u00e0nic, sin\u00f3 com una necessitat real: hav\u00edem de combinar quantitats parcials per obtenir el total.<\/p>\n\n\n\n<p>Els Rovellons van proposar organitzar-ho:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Posar totes les desenes juntes.<br><\/li>\n\n\n\n<li>Posar totes les unitats juntes.<\/li>\n<\/ul>\n\n\n\n<p>Comptar les desenes de 10 en 10 va permetre fer grups de 100. Van apar\u00e8ixer tres centenes completes. Despr\u00e9s, cinquanta. I finalment, quinze unitats.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"819\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23-1024x819.jpg\" alt=\"\" class=\"wp-image-37188\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23-1024x819.jpg 1024w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23-300x240.jpg 300w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23-768x614.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23-1536x1229.jpg 1536w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/23.jpg 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p>La representaci\u00f3 final va quedar aix\u00ed:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"919\" height=\"1024\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1-919x1024.jpg\" alt=\"\" class=\"wp-image-37191\" style=\"width:541px;height:auto\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1-919x1024.jpg 919w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1-269x300.jpg 269w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1-768x856.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1-1379x1536.jpg 1379w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/Blog-Projecte-dAula-25-26-1.jpg 1436w\" sizes=\"auto, (max-width: 919px) 100vw, 919px\" \/><\/a><\/figure><\/div>\n\n\n<p>Aquell moment va ser molt potent: la suma no era una operaci\u00f3 imposada, sin\u00f3 la soluci\u00f3 a un problema real.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">M\u00e9s enll\u00e0 del resultat<\/h2>\n\n\n\n<p>S\u00ed, vam confirmar que l\u2019any t\u00e9 <strong>365 dies<\/strong>. I el moment en qu\u00e8 el nombre va apar\u00e8ixer, clar i constru\u00eft entre tots, va ser emocionant. Per\u00f2, si som sincers, el m\u00e9s valu\u00f3s no va ser arribar al 365. El m\u00e9s important va passar pel cam\u00ed.<\/p>\n\n\n\n<p>Va comen\u00e7ar quan ens vam atrevir a formular una pregunta de veritat. Quan no ens vam conformar amb el que deia la llegenda i vam decidir comprovar-ho. Despr\u00e9s va venir el temps de pensar estrat\u00e8gies, de discutir quina seria la millor manera d\u2019afrontar el repte. Vam recollir dades del calendari, les vam representar amb regletes, les vam ordenar amb cura, separant desenes i unitats, buscant una manera clara de veure qu\u00e8 ten\u00edem al davant.<\/p>\n\n\n\n<p>I enmig d\u2019aquest proc\u00e9s, gaireb\u00e9 sense adonar-nos-en, vam fer un descobriment essencial: per arribar al total calia <strong>ajuntar<\/strong>. Ajuntar mesos, ajuntar desenes, ajuntar unitats. Sumar no era una operaci\u00f3 escrita a la pissarra; era la necessitat que naixia de voler comprendre el tot.<\/p>\n\n\n\n<p>Aix\u00ed, m\u00e9s que confirmar un nombre, els Rovellons van construir una manera de pensar.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"434\" src=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24-1024x434.jpg\" alt=\"\" class=\"wp-image-37189\" srcset=\"https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24-1024x434.jpg 1024w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24-300x127.jpg 300w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24-768x325.jpg 768w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24-1536x650.jpg 1536w, https:\/\/agora.xtec.cat\/escolamartamata\/wp-content\/uploads\/usu1957\/2026\/03\/24.jpg 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center\">I tot va comen\u00e7ar amb un home que, segons deien, tenia 365 nassos.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Henri Poincar\u00e9Les matem\u00e0tiques s\u00f3n l\u2019art de donar el mateix nom a coses diferents.<\/p>\n<p>Els Rovellons han viscut una d\u2019aquelles experi\u00e8ncies que comencen amb una llegenda i acaben convertint-se en una investigaci\u00f3 matem\u00e0tica de deb\u00f2.<\/p>\n<p>Tot va comen\u00e7ar amb la descoberta de la tradici\u00f3 de l\u2019Home dels Nassos,&hellip;  <a href=\"https:\/\/agora.xtec.cat\/escolamartamata\/rovellons2425\/25-26-marta-que-hi-ha-avui-per-dinar\/de-la-tradicio-a-la-gran-pregunta-365-dies-per-descobrir\/\" title=\"Read DE LA TRADICI\u00d3 A LA GRAN PREGUNTA: 365 DIES PER DESCOBRIR\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":103,"featured_media":0,"comment_status":"closed","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":[719],"tags":[],"class_list":["post-37183","post","type-post","status-publish","format-standard","hentry","category-25-26-marta-que-hi-ha-avui-per-dinar"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/posts\/37183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/users\/103"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/comments?post=37183"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/posts\/37183\/revisions"}],"predecessor-version":[{"id":37193,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/posts\/37183\/revisions\/37193"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/media?parent=37183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/categories?post=37183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/escolamartamata\/wp-json\/wp\/v2\/tags?post=37183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}