{"id":379,"date":"2017-09-28T12:05:48","date_gmt":"2017-09-28T10:05:48","guid":{"rendered":"http:\/\/start.luma.fi\/sv\/?page_id=379"},"modified":"2022-08-03T10:55:32","modified_gmt":"2022-08-03T07:55:32","slug":"matematiken-omkring-oss","status":"publish","type":"page","link":"https:\/\/start.luma.fi\/sv\/materialbank\/matematiken-omkring-oss\/","title":{"rendered":"Matematiken omkring oss"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\"><strong>Matematiken omkring oss<\/strong><\/h1>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright\"><img decoding=\"async\" src=\"https:\/\/start.luma.fi\/wp-content\/uploads\/2017\/06\/food-colorful-dessert-sweet-1-1024x682.jpg\" alt=\"\"\/><\/figure><\/div>\n\n\n<p>Det \u00e4r sv\u00e5rt att f\u00f6rest\u00e4lla oss att en hel dag utan att beh\u00f6va utnyttja v\u00e5ra kunskaper inom matematiken. Matematiken fungerar som ett verktyg i till exempel hanteringen av v\u00e5r egen&nbsp;<strong><\/strong>ekonomi och n\u00e4r vi planerar v\u00e5ra tidtabeller, rea-f\u00f6rs\u00e4ljningar, i matlagning och som hj\u00e4lp i att l\u00f6sa flera vardagliga problem. I den h\u00e4r delen hittar du praktiska och motiverande material f\u00f6r eleverna, som h\u00f6r till StarTs tema Matematiken omkring oss. Materialet \u00e4r uppdelat enligt m\u00e5lgrupp.<\/p>\n\n\n\n<h2><span style=\"font-size: 18pt;\"> De b\u00e4sta projekten inom <strong>Matematiken omkring oss<\/strong><\/span><\/h2>\n<p><strong><span style=\"font-size: 14pt;\">StarT 2018<\/span><\/strong><\/p>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><b>Programming your own game<\/b><b>, <\/b>Jyv\u00e4skyl\u00e4n normaalikoulun alakoulu, <strong>Finland<br \/><\/strong><a href=\"https:\/\/drive.google.com\/open?id=1LZGgp2EESBrar6kOz_5Gzn6FjbPG6OfH\" target=\"_blank\" rel=\"noopener\">projektip\u00e4iv\u00e4kirja<\/a> (p\u00e5 finska)<br \/><\/span><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">The students designed and programmed their own learning games that were then presented at the university in a national symposium and in the school&#8217;s own StarT gala.<br \/><\/span>\n<p><iframe loading=\"lazy\" title=\"LUMA StarT nominee 2018, Programming your own game, Jyv\u00e4skyl\u00e4n normaalikoulun alakoulu, Finland.\" width=\"770\" height=\"433\" src=\"https:\/\/www.youtube.com\/embed\/j1AM30N52No?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Educational Complex &#8221;Vseznaiko&#8221;, The pattern of correlation of a snowball&#8217;s flight length depends on its mass.<br \/><a href=\"https:\/\/drive.google.com\/open?id=1nfZ-ez2Pk8kwWEfWAu88nlgguBGewlvP\" target=\"_blank\" rel=\"noopener\">Project diary<\/a><br \/><\/span><\/span>\n<p><iframe loading=\"lazy\" title=\"The pattern of correlation of snowball\u2019s flight length depends on its mass, Ukraine\" width=\"770\" height=\"433\" src=\"https:\/\/www.youtube.com\/embed\/lRE8ZWrAKMU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/li>\n<\/ul>\n<p><strong><span style=\"font-size: 14pt;\">StarT 2017<\/span><\/strong><\/p>\n<ul>\n<li>Programmerad t\u00e4nkande, Tiet\u00e4v\u00e4isens skola, integrerar matematik, fysik och programmerande. Enligt rapporten s\u00e5 har detta inspirerat elever och de har \u00e4ven blivit bel\u00f6nade i galan.<br \/>Projektet valdes fr\u00e5n StarT-materialer (programmerad t\u00e4nkande). Det passade bra ihop med klassens tema f\u00f6r matematik och fysik. Klassen hade tidigare studerat hur man m\u00e4ter hastighet i fysik och hur man bygger upp ekvationer. Dessutom s\u00e5 kommer programmering och algoritmer fr\u00e5n och med n\u00e4sta \u00e5r starkt med i undervisningen i h\u00f6gstadier, d\u00e4rf\u00f6r ville jag som l\u00e4rare unders\u00f6ka lite i f\u00f6rv\u00e4g vad \u201calgoritmernas v\u00e4rld\u201d inneb\u00e4r. Teamet b\u00f6rjade arbetandet flytande. De ville jobba sj\u00e4lvst\u00e4ndigt, \u00e4ven om de beh\u00f6vde hj\u00e4lp med r\u00e4knandet. En viktig del av att skapa algoritmen var att g\u00f6ra en egen ekvation, som dom klarade av lysande. Jag m\u00e5ste s\u00e4ga att teamet jobbade verkligen effektivt. Jag har aldrig sett eleverna lika aktiva p\u00e5 matematiktimmarna \ud83d\ude42 Videon fungerar ocks\u00e5 som en dagbok f\u00f6r l\u00e4randet.<br \/>\n<p><iframe loading=\"lazy\" title=\"Ohjelmoinnillinen ajattelu\" width=\"770\" height=\"433\" src=\"https:\/\/www.youtube.com\/embed\/dsM-WYVEtKM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/li>\n<li>Putaanvirrans skola, Klassresans m\u00e5l-projektet, integrerade ocks\u00e5 flera olika l\u00e4ro\u00e4mnen som gjorde att matematiken blev mer l\u00e4ttn\u00e5dd genom att l\u00e4nka matematiken i vardagliga situationer.<br \/>\u201cMed hj\u00e4lp av internet planerade vi en dr\u00f6mresa f\u00f6r tv\u00e5 vars kostnader inte \u00f6verskrider 8000\u20ac. Vi gjorde en ordlista p\u00e5 resem\u00e5lets spr\u00e5k och ber\u00e4ttade om landets klimat och om v\u00e4dret under resans tidpunkt och \u00e4ven koordinaterna f\u00f6r resans m\u00e5l. Vi gjorde en noggrannare presentation av ett av m\u00e5lets sev\u00e4rdigheter. Vi skrev ett vykort och dagbok om en dag (minst 100 ord) fr\u00e5n resan. Detta projektet genomf\u00f6rdes i december i samarbete med undervisningen i matematik, modersm\u00e5l, svenska och engelska f\u00f6r \u00e5ttondeklassister.\u201d<br \/>\n<p><iframe loading=\"lazy\" title=\"Unelmamatka\" width=\"770\" height=\"433\" src=\"https:\/\/www.youtube.com\/embed\/MxF7k9xynVU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/li>\n<li>M\u00f6tt\u00f6sens skola. Diagramprojektet. Diagrammer uppbyggda och sammanst\u00e4llda p\u00e5 statistik fr\u00e5n vardagen.<br \/>Diagrammerna som hela skolans projekt. Id\u00e9en kom fr\u00e5n 3-4 klassister genom Tangram<br \/>\n<p><iframe loading=\"lazy\" title=\"Arjen Matematiikka 3-4.lk\" width=\"770\" height=\"433\" src=\"https:\/\/www.youtube.com\/embed\/kkUsDXjSalU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<\/li>\n<li>Lahtis samskola, Fibonaccis talf\u00f6ljd och gyllene snittet, i projektet hittades m\u00e5nga samband mellan matematiken och naturen.<br \/>\u201cEleverna fick inspiration att unders\u00f6ka matematiken i naturen och i konsten\u201d<br \/><a href=\"https:\/\/edvisto.com\/story\/6QD34jrj\">https:\/\/edvisto.com\/story\/6QD34jrj<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Materialbank<\/h2>\n\n\n\n<p><strong>Sm\u00e5barnspedagogik och f\u00f6rskola<br><\/strong><a href=\"https:\/\/drive.google.com\/open?id=1H6zmxsHw4VCivdcOB4xlR7vuEib_a6sU\">Hur mycket har det regnat?<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1w_BEqbFlnoehGLvgPXkvR4Or0AWx69-N\">Streckdragning<\/a><\/p>\n\n\n\n<p><strong>L\u00e5gstadiet<\/strong><br><a href=\"https:\/\/drive.google.com\/open?id=1d5lk6o42gjPflTwAgJWXXpebBbnt1gpv\">Biomatematik<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1iuEaezjuboL62zIPGxW5Pov5YbizwWX1\">Dr\u00f6mrummet<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1btrFmsslAqa9f-FRytJ4NU-ImNRL50fm\">Fotbollens geometri<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1sbwM8-o3REfTqyT8FWAyd_W3rn8NcU_Y\">Geometriska figurer<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1FjFPyZy6qi9y5fsz8ascfTT5SSxqRQX-\">Matematik i naturen<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=172PWK4IMVRgaHaoP2mlM6iI3YATbTZud\">M\u00f6bius band<\/a><\/p>\n\n\n\n<p><strong>H\u00f6gstadiet<\/strong><br><a href=\"https:\/\/drive.google.com\/open?id=1JQnHtHYJC5l9JZpj7uSnbrNmRTuofRZM\">Benfords lag<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1d5lk6o42gjPflTwAgJWXXpebBbnt1gpv\">Biomatematik<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1sbwM8-o3REfTqyT8FWAyd_W3rn8NcU_Y\">Geometriska figurer<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1_Lv_STRxncumK9HHHciEo3SlqONv6sr-\">Funktioner i v\u00e5r vardag<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=18CX-3621_dz1Ia_lfJHj8U13cjYa39am\">Matematikens historia<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=18AYp2yyfgA8XVNElNff8eUGQEn-qaVbX\">Tredimensionella kroppar<\/a><\/p>\n\n\n\n<p><strong>Andra stadiet<\/strong><br><a href=\"https:\/\/drive.google.com\/open?id=1d5lk6o42gjPflTwAgJWXXpebBbnt1gpv\">Biomatematik<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=1JQnHtHYJC5l9JZpj7uSnbrNmRTuofRZM\">Benfords lag<\/a><br><a href=\"https:\/\/drive.google.com\/open?id=18CX-3621_dz1Ia_lfJHj8U13cjYa39am\">Matematikens historia<\/a><br><a href=\"https:\/\/drive.google.com\/file\/d\/1fklwiV6sc5WZQFWPAm2m_NuN6DxXr55p\/view\">Programmera en m\u00e5nresa<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematiken omkring oss Det \u00e4r sv\u00e5rt att f\u00f6rest\u00e4lla oss att en hel dag [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":58,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-379","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/comments?post=379"}],"version-history":[{"count":4,"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/379\/revisions"}],"predecessor-version":[{"id":2490,"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/379\/revisions\/2490"}],"up":[{"embeddable":true,"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/58"}],"wp:attachment":[{"href":"https:\/\/start.luma.fi\/sv\/wp-json\/wp\/v2\/media?parent=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}