{"id":100,"date":"2019-06-04T13:10:39","date_gmt":"2019-06-04T11:10:39","guid":{"rendered":"https:\/\/suomi.luma.fi\/sv\/?page_id=100"},"modified":"2019-06-06T10:43:32","modified_gmt":"2019-06-06T08:43:32","slug":"uppfattningsformaga-till-problemlosning","status":"publish","type":"page","link":"https:\/\/suomi.luma.fi\/sv\/projekt\/uppfattningsformaga-till-problemlosning\/","title":{"rendered":"Uppfattningsf\u00f6rm\u00e5ga till probleml\u00f6sning"},"content":{"rendered":"<h5>Introduktion<\/h5>\n<p>Utvecklingsprogrammet uppmuntrar klassl\u00e4rare till att ta itu med l\u00f6sning och bed\u00f6mning av \u00f6ppna problem som upplevs som utmanande. Den nya l\u00e4roplanen betonar betydelsen av probleml\u00f6sning i inl\u00e4rning. Syftet \u00e4r att utveckla det kreativa och logiska matematiska t\u00e4nkandet samt att \u00f6ka elevernas uppfattningsf\u00f6rm\u00e5ga inom matematik. Genom att l\u00f6sa \u00f6ppna problem \u00f6vas ocks\u00e5 andra m\u00e5l i den nya l\u00e4roplanen, t.ex. f\u00e4rdigheter i interaktion, nya arbetss\u00e4tt, f\u00e4rdigheter i t\u00e4nkande, m\u00e5ngsidiga bed\u00f6mningss\u00e4tt\u2026<\/p>\n<p>Vi str\u00e4var till att locka med s\u00e5 m\u00e5nga skolor som m\u00f6jligt i utvecklingsarbetet. Till dem som \u00e4r med i projektet bjuder vi m\u00e5nadsvis ett \u00f6ppet problem, bakgrundsmaterial och en mentorskapsdiskussion som st\u00f6d till f\u00f6rhandlingen i klassrummet. P\u00e5 grund av dessa planerar skolorna en helhet som b\u00e4st passar dem f\u00f6r att genomf\u00f6ra undervisningsexperimentet. Utvecklingsprogrammet st\u00f6der l\u00e4rarna i detta projekt. Problem som vi anv\u00e4nder har uppkommit som en del av ett tre\u00e5rigt forskningsarbete i samarbete med forskare och l\u00e4rare som har tagit del i forskningen. Utforskat information finns allts\u00e5 till \u00e5t l\u00e4rare och de f\u00e5r \u00e4ven st\u00f6d fr\u00e5n tidigare erfarenheter.<\/p>\n<h5>Video (p\u00e5 finska)<\/h5>\n<p><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/OZJOuCsUYAg?rel=0\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/p>\n<h5>Texter om projektet<\/h5>\n<p><a href=\"http:\/\/suomi.luma.fi\/blogi\/2015\/04\/21\/ymmarrysta-ongelmanratkaisuun\/\">Ymm\u00e4rryst\u00e4 ongelmanratkaisuun<\/a><br \/>\n<a href=\"http:\/\/suomi.luma.fi\/blogi\/2016\/02\/03\/vanhempien-osallistaminen-on-tarkeaa\/\">Vanhempien osallistaminen on t\u00e4rke\u00e4\u00e4<\/a><br \/>\n<a href=\"http:\/\/suomi.luma.fi\/blogi\/2016\/05\/20\/kouluvaen-kokemuksia-avoimista-ongelmista\/\">Kouluv\u00e4en kokemuksia avoimista ongelmista<\/a><br \/>\n<a href=\"http:\/\/suomi.luma.fi\/blogi\/2016\/11\/22\/miten-avoimia-tehtavia-voi-arvioida\/\">Miten avoimia teht\u00e4vi\u00e4 voi arvioida?<\/a><\/p>\n<h5>Material som st\u00f6der undervisningen:<\/h5>\n<p><strong>Webbplatsen f\u00f6r matematikens didaktik<\/strong><br \/>\n<strong>Niv\u00e5er:<\/strong> f\u00f6rskola, grundundervisning: klasserna 1-6<br \/>\n<strong>L\u00e4ro\u00e4mnen:<\/strong> matematik<br \/>\n<strong>Beskrivning:<\/strong> P\u00e5 webbpaltsen f\u00f6r matematikens didaktik (HU) finns det bland annat 30 v\u00e4lbepr\u00f6vade \u00f6ppna probleml\u00f6sningsuppgifter samt information, forskning och litteratur om probleml\u00f6sning och dess undervisning. P\u00e5 sajten behandlas ocks\u00e5 bed\u00f6mning av probleml\u00f6sning mer omfattande. Det finns ocks\u00e5 artiklar om centrala teman kring undervisningen av \u00f6ppna problem.<br \/>\n<strong>Typ:<\/strong> beskrivning\/redog\u00f6relse av en pedagogisk modell, \u00f6vrigt st\u00f6dmaterial f\u00f6r l\u00e4rare, (l\u00e4ro)material f\u00f6r eleverna<br \/>\n<strong>Nyckelord:<\/strong> grundskolans l\u00e4gre klasser, undervisning i probleml\u00f6sning, probleml\u00f6sning, \u00f6ppna problem<\/p>\n<p><strong><a class=\"button\" href=\"http:\/\/blogs.helsinki.fi\/matematiikandidaktiikka\/ongelmanratkaisua\/\">Till materialet \u00bb<\/a><\/strong><\/p>\n<p><strong><a class=\"button\" href=\"https:\/\/suomi.luma.fi\/sv\/files\/2019\/06\/Uppfattningsf\u00f6rm\u00e5ga-till-probleml\u00f6sning.pdf\">Till materialet (uppgifter till elever) \u00bb<\/a><\/strong><\/p>\n<hr>\n<p><strong>Video: Uppfattningsf\u00f6rm\u00e5ga till probleml\u00f6sning<\/strong><br \/>\n<strong>Niv\u00e5er:<\/strong> f\u00f6rskola, grundundervisning: klasserna 1-6<br \/>\n<strong>L\u00e4ro\u00e4mnen:<\/strong> matematik<br \/>\n<strong>Beskrivning:<\/strong> <em>Uppfattningsf\u00f6rm\u00e5ga till probleml\u00f6sning<\/em> -videon inneh\u00e5ller inl\u00e4gg av b\u00e5de l\u00e4rare och elever, forskningsdata samt praktiska exempel. Dess syfte \u00e4r att ge forskningsdata och sedvanor om undervisning i probleml\u00f6sning. Helheten (ca 40 minuter) kan anv\u00e4ndas fritt f\u00f6r undervisning och handledning av l\u00e4rare, elever och f\u00f6r\u00e4ldrar.<br \/>\n<strong>Typ:<\/strong> beskrivning\/redog\u00f6relse av en pedagogisk modell, \u00f6vrigt st\u00f6dmaterial f\u00f6r l\u00e4rare<br \/>\n<strong>Nyckelord:<\/strong> grundskolans l\u00e4gre klasser, undervisning i probleml\u00f6sning, probleml\u00f6sning, \u00f6ppna problem<\/p>\n<p><strong><a class=\"button\" href=\"https:\/\/vimeo.com\/191122410\">Till materialet \u00bb<\/a><\/strong><\/p>\n<h5>Publikationer<\/h5>\n<ul>\n<li>Ahtee, M., Hannula, M., Laine, A., N\u00e4veri, L., Pehkonen, E., Portaankorva-Koivisto, P. &amp; Wass, S. (2016). <em>Iloa ongelmanratkaisuun<\/em>. Helsingfors: Kustannusosakeyhti\u00f6 Otava.<\/li>\n<li>Harju, V. (2015). <a href=\"https:\/\/blogs.helsinki.fi\/matematiikandidaktiikka\/files\/2016\/03\/Gradu_Varpu_Harju.pdf\"><em>\u201dMe ollaan nii l\u00e4hell\u00e4 mut sit ei kuitenkaan tajuu sit\u00e4\u201d \u2013 Viidesluokkalaisten ratkaisuja avoimeen ongelmanratkaisuteht\u00e4v\u00e4\u00e4n<\/em><\/a>. Avhandling pro gradu, handledare Laine, A., Helsingfors universitet.<\/li>\n<li>Kankaanp\u00e4\u00e4, A. (2012). <a href=\"https:\/\/blogs.helsinki.fi\/matematiikandidaktiikka\/files\/2016\/03\/GraduLopullinen_Kankaanp%C3%A4%C3%A4.pdf\"><em>\u201dEli onks t\u00e4s nyt tarkotus keksii eri tapoja?\u201d Tapaustutkimus luokkahuonekeskusteluista matematiikan ongelmanratkaisussa.<\/em><\/a> Avhandling pro gradu, handledare Laine, A., Helsingfors universitet.<\/li>\n<li>Kojo, A. (2015). <a href=\"https:\/\/helda.helsinki.fi\/bitstream\/handle\/10138\/156137\/ProGradu.pdf?sequence=2\"><em>\u201dMik\u00e4 se sun systeemis on?\u201d Luokanopettaja ongelmanratkaisun ohjaajana.<\/em><\/a> Avhandling pro gradu, handledare Laine, A., Helsingfors universitet.<\/li>\n<li>Kojo, A., Laine, A. &amp; N\u00e4veri, L. (2018). <a href=\"https:\/\/doi.org\/10.31129\/LUMAT.6.1.294\">How did you solve it? \u2013 Teachers\u2019 approaches to guiding mathematics problem solving.<\/a> <em>LUMAT: Research and Practice in Math, Science and Technology Education, 6(1), 22-40 <\/em>.<\/li>\n<li>Koponen, M. (2014). <a href=\" https:\/\/blogs.helsinki.fi\/matematiikandidaktiikka\/files\/2016\/03\/Koponen_gradu.pdf\"><em>\u201dMit\u00e4 me voidaan p\u00e4\u00e4tell\u00e4 siit\u00e4 s\u00e4\u00e4nn\u00f6st\u00e4?\u201d Opettaja ongelmanratkaisuprosessin reflektointivaiheen ohjaajana.<\/em><\/a> Avhandling pro gradu, handledare Laine, A., Helsingfors universitet.<\/li>\n<li>Laine, A., Ahtee, M., N\u00e4veri, L., Pehkonen, E. &amp; Hannula, M. S. (2018). <a href=\"https:\/\/doi.org\/10.31129\/LUMAT.6.1.255\">Teachers\u2019 influence on the quality of pupils\u2019 written explanations \u2013 Third-graders solving a simplified arithmagon task during a mathematics lesson. <\/a> <em>LUMAT: Research and Practice in Math, Science and Technology Education, 6(1), 87-104<\/em>.<\/li>\n<li>Laine, A., N\u00e4veri, L., Ahtee, M., Pehkonen, E. &amp; Hannula, M. S. (2018). <a href=\"https:\/\/doi.org\/10.1007\/s10763-017-9809-3\">Connections of Primary Teachers\u2019 Actions and Pupils\u2019 Solutions to an Open Problem.<\/a> <em>International Journal of Science and Mathematics Education, 16(5), 967-983<\/em>.<\/li>\n<li>Laine, A., N\u00e4veri, L., Ahtee, M. &amp; Pehkonen, E. (2014). Development of Finnish Elementary Pupils&#8217; Problem-Solving Skills in Mathematics. <em>CEPS Journal, 4(3), 111-129<em>.<\/em><\/em><\/li>\n<li>Pehkonen, E., N\u00e4veri, L. &amp; Laine, A. (2013). On teaching problem solving in school mathematics. <em>CEPS Journal, 3(4), 9-23.<\/em><\/li>\n<\/ul>\n<h5>Kontaktpersoner<\/h5>\n<ul>\n<li>Anu Laine, Helsingfors universitet, anu.laine@helsinki.fi<\/li>\n<li>Sirpa Wass,  Helsingfors universitet, sirpa.wass@helsinki.fi<\/li>\n<\/ul>\n<h5>Samarbetsskolorna mellan 2014\u20132019 och dess kontaktpersoner<\/h5>\n<ul>\n<li>Auroran koulu, Esbo; rektor Ulriika Huima, ulriika.huima@espoo.fi<\/li>\n<li>Gesterbyn koulu, Kyrksl\u00e4tt; rektor Sanna Sankala, sanna.sankala@kirkkonummi.fi<\/li>\n<li>H\u00e4meen kes\u00e4yliopisto, Tavastehus; utbildningschef Hanna Salo, hanna.salo@hame.fi<\/li>\n<li>International School of Helsinki, Helsingfors; Qian Ding, qian.ding@edu.hel.fi; Laura Rytk\u00f6nen, laura.rytkonen@edu.hel.fi<\/li>\n<li>Jalavapuiston koulu, Esbo; Raija Herrala, raija.herrala@espoo.fi<\/li>\n<li>Kaisaniemen ala-asteen koulu, Helsingfors; rektor Merja Kuosmanen, merja.kuosmanen@hel.fi<\/li>\n<li>Kalaj\u00e4rven koulu, Esbo; Osmo Hupli, osmo.hupli@espoo.fi; Raija Herrala, raija.herrala@espoo.fi<\/li>\n<li>Kallion ala-asteen koulu, Helsingfors; rektor Tuomo S\u00e4\u00e4v\u00e4l\u00e4, tuomo.saavala@hel.fi<\/li>\n<li>Karamzinin koulu, Esbo; Osmo Hupli, osmo.hupli@espoo.fi<\/li>\n<li>Katajanokan ala-asteen koulu, Helsingfors; skolf\u00f6rest\u00e5ndare P\u00e4ivi Viitala, paivi.viitala@hel.fi<\/li>\n<li>Kirstin koulu, Esbo; Osmo Hupli, osmo.hupli@espoo.fi; Raija Herrala, raija.herrala@espoo.fi<\/li>\n<li>Meilahden ala-asteen koulu, Helsingfors; rektor Tero Tatterback, tero.tatterback@hel.fi<\/li>\n<li>M\u00e4ntym\u00e4en koulu, Grankulla; rektor Jarmo Ranta, jarmo.ranta@kauniainen.fi<\/li>\n<li>Niipperin koulu, Esbo; Osmo Hupli, osmo.hupli@espoo.fi; Raija Herrala, raija.herrala@espoo.fi<\/li>\n<li>Pakankyl\u00e4n koulu, Esbo; Osmo Hupli, osmo.hupli@espoo.fi; Raija Herrala, raija.herrala@espoo.fi<\/li>\n<li>Rekolanm\u00e4en koulu, Vanda; rektor Niina Saarinen, niina.saarinen@eduvantaa.fi<\/li>\n<li>Savion koulu, Kervo; rektor Mari Heikkinen, mari.k.heikkinen@kerava.fi<\/li>\n<li>Suomenlinnan ala-asteen koulu, Helsingfors; rektor Jutta Narjus, jutta.narjus@hel.fi<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Introduktion Utvecklingsprogrammet uppmuntrar klassl\u00e4rare till att ta itu med l\u00f6sning och bed\u00f6mning av \u00f6ppna problem som upplevs som utmanande. Den nya l\u00e4roplanen betonar betydelsen av probleml\u00f6sning i inl\u00e4rning. Syftet \u00e4r att utveckla det kreativa och logiska matematiska t\u00e4nkandet samt att \u00f6ka elevernas uppfattningsf\u00f6rm\u00e5ga inom matematik. Genom att l\u00f6sa \u00f6ppna problem \u00f6vas ocks\u00e5 andra m\u00e5l i [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":13,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","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":"default","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":"","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":""},"class_list":["post-100","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/100","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/comments?post=100"}],"version-history":[{"count":8,"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/100\/revisions"}],"predecessor-version":[{"id":467,"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/100\/revisions\/467"}],"up":[{"embeddable":true,"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/pages\/13"}],"wp:attachment":[{"href":"https:\/\/suomi.luma.fi\/sv\/wp-json\/wp\/v2\/media?parent=100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}