{"id":7569,"date":"2024-12-04T07:57:06","date_gmt":"2024-12-04T07:57:06","guid":{"rendered":"https:\/\/keys-project.eu\/online-toolkit\/mathematical-competence\/"},"modified":"2025-03-06T09:36:03","modified_gmt":"2025-03-06T09:36:03","slug":"mathematical-competence","status":"publish","type":"page","link":"https:\/\/keys-project.eu\/fi\/online-toolkit\/mathematical-competence\/","title":{"rendered":"Mathematical Competence"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"7569\" class=\"elementor elementor-7569 elementor-2944\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e443f7b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e443f7b\" data-element_type=\"section\" data-settings=\"{&quot;shape_divider_bottom&quot;:&quot;mountains&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" opacity=\"0.33\" d=\"M473,67.3c-203.9,88.3-263.1-34-320.3,0C66,119.1,0,59.7,0,59.7V0h1000v59.7 c0,0-62.1,26.1-94.9,29.3c-32.8,3.3-62.8-12.3-75.8-22.1C806,49.6,745.3,8.7,694.9,4.7S492.4,59,473,67.3z\"\/>\n\t<path class=\"elementor-shape-fill\" opacity=\"0.66\" d=\"M734,67.3c-45.5,0-77.2-23.2-129.1-39.1c-28.6-8.7-150.3-10.1-254,39.1 s-91.7-34.4-149.2,0C115.7,118.3,0,39.8,0,39.8V0h1000v36.5c0,0-28.2-18.5-92.1-18.5C810.2,18.1,775.7,67.3,734,67.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M766.1,28.9c-200-57.5-266,65.5-395.1,19.5C242,1.8,242,5.4,184.8,20.6C128,35.8,132.3,44.9,89.9,52.5C28.6,63.7,0,0,0,0 h1000c0,0-9.9,40.9-83.6,48.1S829.6,47,766.1,28.9z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f4726f8\" data-id=\"f4726f8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-29f11fe elementor-widget elementor-widget-spacer\" data-id=\"29f11fe\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ea00c7e elementor-widget elementor-widget-image\" data-id=\"ea00c7e\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"952\" height=\"581\" src=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/02\/Mathematical-image.png\" class=\"attachment-full size-full wp-image-5593\" alt=\"\" srcset=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/02\/Mathematical-image.png 952w, https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/02\/Mathematical-image-300x183.png 300w, https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/02\/Mathematical-image-768x469.png 768w\" sizes=\"(max-width: 952px) 100vw, 952px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a0ca3ea elementor-widget elementor-widget-spacer\" data-id=\"a0ca3ea\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4cc2fea elementor-section-full_width elementor-section-height-min-height elementor-section-height-default elementor-section-items-middle\" data-id=\"4cc2fea\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1952a7b\" data-id=\"1952a7b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3d56170 elementor-widget elementor-widget-tp-heading-animation\" data-id=\"3d56170\" data-element_type=\"widget\" data-widget_type=\"tp-heading-animation.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>.heading-animation69e1d6d99e54d .pt-plus-cd-headline.loading-bar .cd-words-wrapper::after{}<\/style><div class=\"pt-plus-heading-animation heading-animation head-anim-style-1  heading-animation69e1d6d99e54d\"  ><h1 class=\"pt-plus-cd-headline letters type\" ><span >Matemaattinen <\/span><span class=\"cd-words-wrapper waiting\" style=\"\"><b  class=\"is-visible\"> osaaminen<\/b><\/span><\/h1><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-80345f7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"80345f7\" data-element_type=\"section\" data-settings=\"{&quot;shape_divider_top&quot;:&quot;mountains&quot;}\">\n\t\t\t\t\t<div class=\"elementor-shape elementor-shape-top\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" opacity=\"0.33\" d=\"M473,67.3c-203.9,88.3-263.1-34-320.3,0C66,119.1,0,59.7,0,59.7V0h1000v59.7 c0,0-62.1,26.1-94.9,29.3c-32.8,3.3-62.8-12.3-75.8-22.1C806,49.6,745.3,8.7,694.9,4.7S492.4,59,473,67.3z\"\/>\n\t<path class=\"elementor-shape-fill\" opacity=\"0.66\" d=\"M734,67.3c-45.5,0-77.2-23.2-129.1-39.1c-28.6-8.7-150.3-10.1-254,39.1 s-91.7-34.4-149.2,0C115.7,118.3,0,39.8,0,39.8V0h1000v36.5c0,0-28.2-18.5-92.1-18.5C810.2,18.1,775.7,67.3,734,67.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M766.1,28.9c-200-57.5-266,65.5-395.1,19.5C242,1.8,242,5.4,184.8,20.6C128,35.8,132.3,44.9,89.9,52.5C28.6,63.7,0,0,0,0 h1000c0,0-9.9,40.9-83.6,48.1S829.6,47,766.1,28.9z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3d28f68\" data-id=\"3d28f68\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e103197 elementor-widget elementor-widget-spacer\" data-id=\"e103197\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53b2dd1 elementor-widget elementor-widget-text-editor\" data-id=\"53b2dd1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Matemaattinen osaaminen ja osaaminen luonnontieteiss\u00e4, teknologiassa ja insin\u00f6\u00f6ritieteiss\u00e4 ovat joukko taitoja, jotka liittyv\u00e4t ongelmanratkaisuun, kriittiseen ajatteluun, m\u00e4\u00e4r\u00e4lliseen p\u00e4\u00e4ttelyyn ja n\u00e4iden taitojen soveltamiseen arjen tilanteissa ja ty\u00f6el\u00e4m\u00e4ss\u00e4. N\u00e4m\u00e4 taidot auttavat henkil\u00f6\u00e4 ajattelemaan loogisesti ja j\u00e4rkev\u00e4sti, j\u00e4rjest\u00e4m\u00e4\u00e4n teht\u00e4vi\u00e4\u00e4n ja p\u00e4ivitt\u00e4isi\u00e4 toimintojaan, hallitsemaan budjettiaan sek\u00e4 suorittamaan erilaisia matemaattisia laskelmia, joita tarvitaan el\u00e4m\u00e4ss\u00e4 ja ty\u00f6ss\u00e4. Lis\u00e4ksi ne auttavat arvioimaan kokoja, prosesseja ja seurauksia. Matemaattinen osaaminen ja osaaminen luonnontieteiss\u00e4, teknologiassa ja insin\u00f6\u00f6ritieteiss\u00e4 ovat t\u00e4rkeit\u00e4 monilla ammattialoilla ja ty\u00f6teht\u00e4viss\u00e4.<\/p><p><strong>N\u00e4iden harjoitusten p\u00e4\u00e4tavoitteena on:<\/strong><\/p><ul><li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"24\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">Kehitt\u00e4\u00e4 arjen matemaattisia taitoja.<\/li><li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"24\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">Antaa lis\u00e4\u00e4 taitoja matemaattisten taitojen hy\u00f6dynt\u00e4miseen konkreettisissa teht\u00e4viss\u00e4.<\/li><li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"24\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\">Auttaa opiskelijoita menestym\u00e4\u00e4n VET-opinnoissa, jotka vaativat matemaattisia taitoja.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-610a945 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"610a945\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-21233ec\" data-id=\"21233ec\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e0bb49d elementor-widget elementor-widget-spacer\" data-id=\"e0bb49d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eae3361 elementor-widget elementor-widget-heading\" data-id=\"eae3361\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Harjoitukset<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-25abf86 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"25abf86\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2868c50\" data-id=\"2868c50\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62876d6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"62876d6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/01-Roolileikki-Tilastot.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Roolileikki - Tilastot<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-c8c08e6\" data-id=\"c8c08e6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-448349d elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"448349d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/02-Vaahtokarkkihaaste.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Vaahtokarkkihaaste<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2b85980\" data-id=\"2b85980\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-39f9df4 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"39f9df4\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/03-Matematiikkalehti.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Matematiikkalehti<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b7aedaa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b7aedaa\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-19991b8\" data-id=\"19991b8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c9382c6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"c9382c6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/04-Suunnittele-oma-yrityksesi.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Suunnittele oma yrityksesi<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-f6704b5\" data-id=\"f6704b5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-81b2296 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"81b2296\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/05-Unelmien-koti.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Unelmien koti<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-c067b6d\" data-id=\"c067b6d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-98c7c29 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"98c7c29\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/06-Alennusostokset.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Alennusostokset<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-080c00b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"080c00b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3a596cf\" data-id=\"3a596cf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-af126ce elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"af126ce\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/07-Suosikkiruokareseptini.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Suosikkiruokareseptini<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-536fafd\" data-id=\"536fafd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-87fbd75 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"87fbd75\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/08-Tuleva-ammattini.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Tuleva ammattini<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-3aedc7e\" data-id=\"3aedc7e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c3b8bd7 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"c3b8bd7\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/09-Ryhmatyon-arviointi.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Ryhm\u00e4ty\u00f6n arviointi<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-33113a1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33113a1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-ec424de\" data-id=\"ec424de\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-8792cf8\" data-id=\"8792cf8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bd3323c elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"bd3323c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/wp-content\/uploads\/2024\/12\/10-Energiansiirtotaitojen-karuselli.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Energiansiirtotaitojen karuselli<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-f84dfdf\" data-id=\"f84dfdf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-d112700 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d112700\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-8e5c5c2\" data-id=\"8e5c5c2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-11cdce4\" data-id=\"11cdce4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9886648\" data-id=\"9886648\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-cb5dc3f elementor-widget elementor-widget-spacer\" data-id=\"cb5dc3f\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ea7c66e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ea7c66e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d9ce1be\" data-id=\"d9ce1be\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2fd7f9c elementor-widget elementor-widget-spacer\" data-id=\"2fd7f9c\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f479ecd elementor-align-center elementor-widget elementor-widget-button\" data-id=\"f479ecd\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/keys-project.eu\/fi\/online-toolkit\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-left\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Palata<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7715f8d elementor-widget elementor-widget-spacer\" data-id=\"7715f8d\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Matemaattinen osaaminen Matemaattinen osaaminen ja osaaminen luonnontieteiss\u00e4, teknologiassa ja insin\u00f6\u00f6ritieteiss\u00e4 ovat joukko taitoja, jotka liittyv\u00e4t ongelmanratkaisuun, kriittiseen ajatteluun, m\u00e4\u00e4r\u00e4lliseen p\u00e4\u00e4ttelyyn ja n\u00e4iden taitojen soveltamiseen arjen tilanteissa ja ty\u00f6el\u00e4m\u00e4ss\u00e4. N\u00e4m\u00e4 taidot auttavat henkil\u00f6\u00e4 ajattelemaan loogisesti ja j\u00e4rkev\u00e4sti, j\u00e4rjest\u00e4m\u00e4\u00e4n teht\u00e4vi\u00e4\u00e4n ja p\u00e4ivitt\u00e4isi\u00e4 toimintojaan, hallitsemaan budjettiaan sek\u00e4 suorittamaan erilaisia matemaattisia laskelmia, joita tarvitaan el\u00e4m\u00e4ss\u00e4 ja ty\u00f6ss\u00e4. Lis\u00e4ksi ne [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":7486,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"full-width-container","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":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","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":"","background-image":"","background-repeat":"repeat","background-position":"center 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