{"id":15312,"date":"2023-11-20T10:38:21","date_gmt":"2023-11-20T09:38:21","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceip-taquigraf-garriga\/?p=15312"},"modified":"2023-11-20T10:38:40","modified_gmt":"2023-11-20T09:38:40","slug":"la-linia-numerica-que-es-i-com-hi-treballem","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ceip-taquigraf-garriga\/general\/la-linia-numerica-que-es-i-com-hi-treballem\/","title":{"rendered":"La l\u00ednia num\u00e8rica. Qu\u00e8 \u00e9s i com hi treballem?"},"content":{"rendered":"<div class=\"elementor-element elementor-element-89784e7 elementor-widget elementor-widget-text-editor\" data-id=\"89784e7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p>Una de les primeres eines que treballem en profunditat a prim\u00e0ria \u00e9s la l\u00ednia num\u00e8rica. \u00c9s imprescindible per a l\u2019aprenentatge de les matem\u00e0tiques que els nostres fills i filles aprenguin el que anomenem el sentit num\u00e8ric, \u00e9s a dir, comprendre els nombres en tots els seus aspectes: quantitat, ordre, operacions, etc. \u00c9s basant-nos en aquest sentit, i tamb\u00e9 en d\u2019altres que anirem construint, que aniran adquirint cada vegada m\u00e9s coneixement matem\u00e0tic.<\/p>\n<p>En aquest article veurem qu\u00e8 \u00e9s la l\u00ednia num\u00e8rica i com la treballem a l\u2019aula. La l\u00ednia ens acompanyar\u00e0 durant molts cursos i ens ajudar\u00e0 a comprendre altres continguts. Entenguem per qu\u00e8.<\/p>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-851025f elementor-widget elementor-widget-heading\" data-id=\"851025f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\">\n<h2 class=\"elementor-heading-title elementor-size-default\">Qu\u00e8 \u00e9s la l\u00ednia num\u00e8rica<\/h2>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-c0b129e elementor-widget elementor-widget-text-editor\" data-id=\"c0b129e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-23104\" src=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/08\/Del-collaret-de-boles-a-la-linia-numerica-buida-1-1024x512.png\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" srcset=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/08\/Del-collaret-de-boles-a-la-linia-numerica-buida-1-1024x512.png 1024w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/08\/Del-collaret-de-boles-a-la-linia-numerica-buida-1-300x150.png 300w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/08\/Del-collaret-de-boles-a-la-linia-numerica-buida-1-768x384.png 768w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/08\/Del-collaret-de-boles-a-la-linia-numerica-buida-1.png 1200w\" alt=\"Del collaret de boles a la l\u00ednia num\u00e8rica buida\" width=\"500\" height=\"250\" \/><\/p>\n<p><strong>La l\u00ednia num\u00e8rica<\/strong>\u00a0no \u00e9s un invent d\u2019Innovamat. \u00c9s la manera que tenim en matem\u00e0tiques de\u00a0<strong>representar ordenadament el conjunt dels nombres reals<\/strong>, i s\u2019utilitza al llarg de tot l\u2019aprenentatge d\u2019aquesta disciplina i en situacions diferents.<\/p>\n<p>Per exemple, els eixos de coordenades on es representa un gr\u00e0fic s\u00f3n dues l\u00ednies num\u00e8riques posades en perpendicular.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-24295\" src=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/eje-de-coordenadas.png\" sizes=\"auto, (max-width: 325px) 100vw, 325px\" srcset=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/eje-de-coordenadas.png 325w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/eje-de-coordenadas-300x242.png 300w\" alt=\"\" width=\"325\" height=\"262\" \/><\/p>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-35328b5 elementor-widget elementor-widget-heading\" data-id=\"35328b5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\">\n<h2 class=\"elementor-heading-title elementor-size-default\">Com s&#8217;utilitza la l\u00ednia num\u00e8rica<\/h2>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-807e2cf elementor-widget elementor-widget-text-editor\" data-id=\"807e2cf\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p>Un infant que cursa primer cicle de prim\u00e0ria t\u00e9 dificultats per comunicar el que pensa. Aix\u00ed que qualsevol recurs per presentar els nombres l\u2019ajudar\u00e0 a expressar-se, i el docent en podr\u00e0 seguir els raonaments i guiar-lo millor.<\/p>\n<p>\u00c9s per aix\u00f2 que oferim als alumnes materials manipulatius diversos. En aquest cas, els\u00a0<strong>collarets de boles<\/strong>\u00a0s\u00f3n de gran utilitat i ens permeten fer el salt, amb una mica de pr\u00e0ctica, a la l\u00ednia num\u00e8rica.<\/p>\n<p>Els alumnes han d\u2019entendre els nombres com\u00a0<strong>un conjunt ordenat d\u2019elements<\/strong>. Per aix\u00f2, d\u2019inici, els presentem un collaret de boles de dos colors amb el qual poden identificar\u00a0<strong>grups de 5 unitats<\/strong>\u00a0\u2014que m\u00e9s endavant, quan siguin capa\u00e7os de manipular nombres m\u00e9s grans, seran grups de 10 unitats. \u00c9s aix\u00ed, amb els collarets, com comencen a veure\u00a0<strong>on es col\u00b7loca<\/strong>\u00a0cada nombre, observen algunes relacions (el 8 \u00e9s dues unitats m\u00e9s petit que el 10 i tres unitats m\u00e9s gran que el 5; el 12 est\u00e0 fet de dos grups de 5 boles i 2 boles m\u00e9s\u2026) i\u00a0<strong>fan les seves primeres sumes i restes<\/strong>; primer comptant les boles del collaret i m\u00e9s endavant fent-hi salts.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-24301\" src=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/collar-de-bolas.png\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" srcset=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/collar-de-bolas.png 640w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/collar-de-bolas-300x91.png 300w\" alt=\"\" width=\"640\" height=\"195\" \/><\/p>\n<p>Les fam\u00edlies hem de tenir en compte que saber sumar no t\u00e9 a veure nom\u00e9s amb saber resoldre l\u2019operaci\u00f3 com recordem: posant els nombres en vertical i donant una resposta amb aquest algoritme, aquest m\u00e8tode que nosaltres vam repetir tantes vegades fins que vam ser capa\u00e7os de sumar, per exemple, 13 + 15. Aquesta \u00e9s una manera de resoldre sumes, per\u00f2 no l\u2019\u00fanica:\u00a0<strong>comptar tamb\u00e9 \u00e9s un m\u00e8tode que permet sumar.<\/strong><\/p>\n<p>Saber sumar implica saber<strong>\u00a0resoldre situacions additives<\/strong>, m\u00e9s enll\u00e0 del m\u00e8tode amb qu\u00e8 es resolgui la situaci\u00f3. Aix\u00f2 ho saben molt b\u00e9 els docents, i \u00e9s aqu\u00ed on posen tota intenci\u00f3 i for\u00e7a durant les classes.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-24307\" src=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/cubitos.png\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" srcset=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/cubitos.png 457w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/cubitos-290x300.png 290w\" alt=\"\" width=\"360\" height=\"372\" \/><\/p>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-2d8463f elementor-widget elementor-widget-heading\" data-id=\"2d8463f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\">\n<h2 class=\"elementor-heading-title elementor-size-default\">Recursos per utilitzar i comprendre la l\u00ednia num\u00e8rica<\/h2>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-3a69fee elementor-widget elementor-widget-text-editor\" data-id=\"3a69fee\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p>Si voleu veure com s\u2019utilitza la l\u00ednia num\u00e8rica i qu\u00e8 significa fer-hi salts, podeu veure aquest v\u00eddeo de 2 minuts.<\/p>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-099f999 elementor-widget elementor-widget-video\" data-id=\"099f999\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=ycBawp8Fo5s&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n<div class=\"elementor-widget-container\">\n<div class=\"elementor-wrapper elementor-open-inline\"><iframe loading=\"lazy\" id=\"widget2\" class=\"elementor-video\" title=\"Sumem saltant - Estrat\u00e8gies en 2 minuts | Prim\u00e0ria | Cicle Inicial (1r i 2n)\" src=\"https:\/\/www.youtube.com\/embed\/ycBawp8Fo5s?controls=1&amp;rel=0&amp;playsinline=0&amp;modestbranding=0&amp;autoplay=0&amp;enablejsapi=1&amp;origin=https%3A%2F%2Fblog.innovamat.com&amp;widgetid=1\" width=\"640\" height=\"360\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\" data-gtm-yt-inspected-8=\"true\" data-mce-fragment=\"1\"><\/iframe><\/div>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-c15c4a4 elementor-widget elementor-widget-heading\" data-id=\"c15c4a4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\">\n<h2 class=\"elementor-heading-title elementor-size-default\">Com acompanyar des de casa amb la l\u00ednia num\u00e8rica<\/h2>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-216fe1b elementor-widget elementor-widget-text-editor\" data-id=\"216fe1b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n<div class=\"elementor-widget-container\">\n<p>Des de casa pots ajudar el teu fill o filla a refor\u00e7ar algunes habilitats que li permetran ser m\u00e9s \u00e0gil amb la l\u00ednia num\u00e8rica. Aqu\u00ed et deixem alguns exemples:<\/p>\n<ul>\n<li>Busca ocasions per comptar: aix\u00ed va interioritzant els nombres i el seu ordre. La cantarella de repetir-los ordenats l\u2019ajuda a interioritzar el conjunt i despr\u00e9s pot comptar cap enrere i de 2 en 2 o de 5 en 5 de manera m\u00e9s r\u00e0pida i segura.<\/li>\n<li>Insisteix en la descomposici\u00f3 del nombre 10 (les diferents sumes per obtenir el 10, 2 + 8, 4 + 6, 1 + 9\u2026): aix\u00f2 li donar\u00e0 desimboltura i seguretat quan hagi de fer salts sobre la l\u00ednia.<\/li>\n<li>Juga amb la descomposici\u00f3 dels d\u00edgits d\u2019un nombre amb m\u00e9s d\u2019una xifra (el 27 est\u00e0 format per 2 desenes, \u00e9s a dir, dos grups de 10 unitats, i 7 unitats m\u00e9s).<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-24313\" src=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/saltos-en-la-linea-numerica.png\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" srcset=\"https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/saltos-en-la-linea-numerica.png 696w, https:\/\/blog.innovamat.com\/wp-content\/uploads\/2023\/10\/saltos-en-la-linea-numerica-300x92.png 300w\" alt=\"\" width=\"600\" height=\"184\" \/><\/p>\n<p>Tot aix\u00f2 l\u2019ajudar\u00e0 a col\u00b7locar amb m\u00e9s efic\u00e0cia els nombres a la l\u00ednia, juga-hi!<\/p>\n<p><strong>Els docents a classe treballen intensament amb els alumnes en aquesta direcci\u00f3, i des d\u2019Innovamat els donem suport.<\/strong><\/p>\n<p>Esperem que aquest acostament al proc\u00e9s d\u2019aprenentatge us sigui d\u2019utilitat com a fam\u00edlia!<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Una de les primeres eines que treballem en profunditat a prim\u00e0ria \u00e9s la l\u00ednia num\u00e8rica. \u00c9s imprescindible per a l\u2019aprenentatge de les matem\u00e0tiques que els nostres fills i filles aprenguin el que anomenem el sentit num\u00e8ric, \u00e9s a dir, comprendre els nombres en tots els seus aspectes: quantitat, ordre, operacions, etc. \u00c9s basant-nos en aquest [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":15313,"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 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