{"id":307,"date":"2023-01-06T16:27:59","date_gmt":"2023-01-06T16:27:59","guid":{"rendered":"http:\/\/flatarmal.is\/?page_id=307"},"modified":"2026-01-10T18:35:47","modified_gmt":"2026-01-10T18:35:47","slug":"unglingastig","status":"publish","type":"page","link":"https:\/\/flatarmal.is\/?page_id=307","title":{"rendered":"Unglingastig"},"content":{"rendered":"\n

Unglings\u00e1rin fela \u00ed s\u00e9r m\u00f6rg t\u00e6kif\u00e6ri til n\u00e1ms og \u00feroska en einna helst fara nemendur a\u00f0 hugsa meira abstrakt og r\u00f6kr\u00e9tt. Unglingar geta einnig hugsa\u00f0 \u00e1 heildst\u00e6\u00f0ari h\u00e1tt. \u00deannig er h\u00e6gt a\u00f0 vinna me\u00f0 st\u00e6r\u00f0fr\u00e6\u00f0ileg verkefni sem krefjast meira af nemendum. H\u00e9r er nokkur verkefni sem n\u00fdtast vel \u00ed kennslu unglinga.<\/p>\n\n\n\n

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\u00derautab\u00f3kin H\u00f6fu\u00f0verkur <\/em>er \u00e6tlu\u00f0 til kennslu \u00e1 unglingastigi og \u00e6tti a\u00f0 vera \u00fe\u00e6gileg fyrir kennara a\u00f0 gr\u00edpa til hvort sem er \u00ed leik e\u00f0a til kennslu. Notkun \u00ferautanna krefst ekki mikils undirb\u00fanings fyrir kennara \u00fear sem h\u00f6fundur hefur \u00fatb\u00fai\u00f0 kennslulei\u00f0beiningar fyrir hverja \u00feraut. \u00de\u00e6r eru \u00ferenns konar en \u00ed fyrsta lagi eru till\u00f6gur um hva\u00f0a v\u00edsbendingar kennarar geta gefi\u00f0 nemendum sem eiga erfitt me\u00f0 a\u00f0 byrja e\u00f0a lenda \u00ed vandr\u00e6\u00f0um \u00ed mi\u00f0jum kl\u00ed\u00f0um. \u00cd \u00f6\u00f0ru lagi eru \u00e1bendingar um hvernig \u00feyngja megi \u00ferautirnar en hafa ber \u00ed huga a\u00f0 oftar en ekki mega nemendur \u00fe\u00e1 ekki vera b\u00fanir a\u00f0 leysa upprunalegu \u00fatg\u00e1funa \u00e1\u00f0ur. \u00cd \u00feri\u00f0ja lagi eru upp\u00e1stungur um hvernig l\u00e9tta megi \u00ferautirnar. \u00de\u00e1 eru einhverjar v\u00edsbendingar ger\u00f0ar au\u00f0veldari e\u00f0a fleiri v\u00edsbendingum b\u00e6tt vi\u00f0.<\/p>\n\n\n\n

H\u00f6fu\u00f0verkur – \u00ferautab\u00f3k<\/a><\/strong>
(Birt me\u00f0 leyfi h\u00f6fundar: Nanna \u00de. M\u00f6ller)<\/p>\n<\/div>\n<\/div>\n\n\n\n

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Hva\u00f0 getur \u00fe\u00fa b\u00fai\u00f0 til \u00far stafnum \u00fe\u00ednum?<\/strong>
Tilraunir me\u00f0 flutninga \u00ed hnitakerfi
Speglun \u2013 sn\u00faningur \u2013 hli\u00f0run<\/p>\n\n\n\n

Nemendur teikna upphafsstaf nafnsins s\u00edns inn \u00ed hnitakerfi og gera tilraunir me\u00f0 a\u00f0 spegla, sn\u00faa og hli\u00f0ra stafnum. Me\u00f0 \u00feessum flutningum geta \u00feeir b\u00fai\u00f0 til fj\u00f6lbreytt og \u00e1hugaver\u00f0 mynstur, b\u00e6\u00f0i einf\u00f6ld og fl\u00f3kin.<\/p>\n\n\n\n

Tilraunir me\u00f0 flutninga \u00ed hnitakerfi<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Leitin a\u00f0 p\u00ed er skapandi verkefni \u00fear sem nemendur uppg\u00f6tva t\u00f6luna p\u00ed. Me\u00f0 \u00fev\u00ed a\u00f0 teikna hring me\u00f0 sn\u00faru og m\u00e6la b\u00e6\u00f0i \u00feverm\u00e1l og umm\u00e1l hringsins n\u00e1lgast nemendur gildi\u00f0 \u00e1 p\u00ed \u00fat fr\u00e1 eigin athugunum. Verkefni\u00f0 \u00fdtir undir ranns\u00f3knarvinnu, samvinnu og d\u00fdpri skilning \u00e1 hlutfallinu milli umm\u00e1ls og \u00feverm\u00e1ls hrings \u2013 \u00e1n \u00feess a\u00f0 gildi\u00f0 \u00e1 p\u00ed s\u00e9 gefi\u00f0 upp fyrirfram.<\/p>\n\n\n\n

Leitin a\u00f0 p\u00ed<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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H\u00e9r eru nokkrar \u00ferautir sem eru kj\u00f6rnar til \u00feess a\u00f0 nota sem kveikjur fyrir vinnu me\u00f0 j\u00f6fnur. Me\u00f0 reiptogi, h\u00e6num og l\u00f3\u00f0um m\u00e1 skapa forvitni, vekja upp spurningar og umr\u00e6\u00f0u sem lei\u00f0a nemendur a\u00f0 notkun t\u00e1kna til a\u00f0 setja fram og leysa j\u00f6fnur. \u00derautirnar krefjast r\u00f6ksemdaf\u00e6rslu og bj\u00f3\u00f0a upp \u00e1 fj\u00f6lbreyttar lausnalei\u00f0ir.<\/p>\n\n\n\n

\u00derautir – kveikjur fyrir j\u00f6fnur<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Ranns\u00f3kn \u00e1 neikv\u00e6\u00f0um veldisv\u00edsi \u00ed anda Hugsandi sk\u00f3lastofu. Nemendur rannsaka mynstur tugvelda og uppg\u00f6tva sj\u00e1lfir a\u00f0 til a\u00f0 f\u00e1 \u00fat t\u00f6lur minni en 1, eins og 0,001 \u00fearf veldisv\u00edsirinn a\u00f0 vera neikv\u00e6\u00f0ur. \u00deeir sko\u00f0a mynstur, mynda tilg\u00e1tur og skr\u00e1 ni\u00f0urst\u00f6\u00f0ur me\u00f0 or\u00f0um. Verkefni\u00f0 stu\u00f0lar a\u00f0 d\u00fdpri skilningi \u00e1 veldum og merkingu neikv\u00e6\u00f0ra veldisv\u00edsa.<\/p>\n\n\n\n

Neikv\u00e6\u00f0ur veldisv\u00edsir<\/strong><\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Samvinnu\u00feraut sem reynir \u00e1 r\u00f6khugsun, \u00fatsj\u00f3narsemi og skilning \u00e1 pr\u00f3sentum og hlutf\u00f6llum. Kennari klippir \u00fat hverja v\u00edsbendingu fyrir sig og nemendur \u00feurfa a\u00f0 finna \u00fat \u00ed hva\u00f0a r\u00f6\u00f0 v\u00edsbendingarnar eiga a\u00f0 vera til a\u00f0 geta leyst \u00ferautina. <\/p>\n\n\n\n

Arfur lang\u00f6mmu<\/strong><\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Skemmtileg \u00feraut \u00fear sem unni\u00f0 er me\u00f0 reiknia\u00f0ger\u00f0irnar fj\u00f3rar \u00e1samt svigum og ekki m\u00e1 gleyma a\u00f0 huga a\u00f0 forgangsr\u00f6\u00f0 a\u00f0ger\u00f0a.<\/p>\n\n\n\n

Taktu til vi\u00f0 a\u00f0 tvista<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Ranns\u00f3knarverkefni \u00e1 r\u00famm\u00e1li \u00fer\u00edv\u00ed\u00f0ra forma sem hentar nemendum \u00e1 unglingastigi grunnsk\u00f3la og jafnvel \u00e1 framhaldssk\u00f3lastigi. Verkefni\u00f0 er \u00fe\u00fdtt og a\u00f0laga\u00f0 \u00far verkefninu Calculating Volumes of Compound Objects<\/em><\/strong> sem finna m\u00e1 \u00e1 vefnum http:\/\/map.mathshell.org<\/a>. <\/p>\n\n\n\n

Verkefni\u00f0 er hugsa\u00f0 sem n\u00e1msmatsverkefni en \u00e1 \u00feessari sl\u00f3\u00f0 m\u00e1 finna verkefni\u00f0 \u00e1 ensku me\u00f0 \u00edtarlegum kennslu- og matslei\u00f0beiningum: https:\/\/www.map.mathshell.org\/download.php?fileid=1764<\/a>.<\/p>\n\n\n\n

R\u00famm\u00e1l \u00fer\u00edv\u00ed\u00f0ra forma: ranns\u00f3knarverkefni<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Fj\u00e1rm\u00e1lafr\u00e6\u00f0slu verkefni fyrir nemendur \u00e1 unglingastigi. \u00cd verkefninu sko\u00f0a nemendur launase\u00f0la og hva\u00f0 felst \u00ed \u00fev\u00ed a\u00f0 vera \u00ed launa\u00f0ri vinnu. Unni\u00f0 er me\u00f0 \u00fdmis hugt\u00f6k sem tengjast launum og mikilv\u00e6gi \u00feess a\u00f0 sko\u00f0a vel kjarasamninga. <\/p>\n\n\n\n

Velkomin til starfa – verkefnal\u00fdsing<\/a><\/strong>
Launase\u00f0ill – verkefni<\/strong><\/a>
Velkomin til starfa – Vi\u00f0mi\u00f0 um \u00e1rangur<\/a><\/strong><\/p>\n<\/div><\/div>\n\n\n\n

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R\u00famfr\u00e6\u00f0iverkefni \u00fear sem unni\u00f0 er me\u00f0 reglu P\u00fd\u00feag\u00f3rasar, p\u00edram\u00edda, keilu og hornasummu \u00fer\u00edhyrninga. <\/p>\n\n\n\n

R\u00famfr\u00e6\u00f0iverkefni – verkefnal\u00fdsing<\/a>
R\u00famfr\u00e6\u00f0iverkefni – Vi\u00f0mi\u00f0 um \u00e1rangur<\/a><\/strong><\/p>\n<\/div><\/div>\n\n\n\n

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H\u00e9r er verkefni \u00fear sem nemendur f\u00e1 t\u00e6kif\u00e6ri til \u00feess a\u00f0 sko\u00f0a kostna\u00f0inn sem fylgir \u00fev\u00ed a\u00f0 taka b\u00edlpr\u00f3f og kaupa b\u00edl.

Komdu \u00e1 r\u00fantinn – <\/strong><\/a>gl\u00e6rukynning<\/a><\/strong>
Komdu \u00e1 r\u00fantinn – vi\u00f0mi\u00f0 um \u00e1rangur <\/strong><\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

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\u00cd \u00feessu verkefni sko\u00f0a nemendur Perluna og r\u00famfr\u00e6\u00f0i hennar en lokaafur\u00f0 verkefnisins er l\u00edkan af Perlunni.<\/p>\n\n\n\n

Perlan<\/a><\/span><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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\u00deessi ratleikur inniheldur 10 st\u00f6\u00f0var en \u00e1 st\u00f6\u00f0unum framkv\u00e6ma nemendur \u00fdmis verkefni og leysa \u00ferautir.<\/p>\n\n\n\n

Ratleikur Unglingastig<\/a><\/span><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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\u00deetta verkefni byggir \u00e1 \u00ferautalausn og er h\u00e6gt a\u00f0 leysa \u00e1 mismunandi h\u00e1tt.<\/p>\n\n\n\n

Loftfimleikamenn, \u00f6mmur og Ivan<\/mark><\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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\u00deetta er skemmtilegur leikur sem f\u00e6r nemendur til \u00feess a\u00f0 tala saman og hugsa.<\/p>\n\n\n\n

Skattheimtuma\u00f0urinn<\/mark><\/a><\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Skemmtilegur \u00edsbrj\u00f3tur sem reynir \u00e1 samvinnu<\/p>\n\n\n\n

B\u00faum til ferninga<\/mark><\/strong><\/a><\/p>\n<\/div>\n<\/div>\n\n\n\n

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Unglings\u00e1rin fela \u00ed s\u00e9r m\u00f6rg t\u00e6kif\u00e6ri til n\u00e1ms og \u00feroska en einna helst fara nemendur a\u00f0 hugsa meira abstrakt og r\u00f6kr\u00e9tt. Unglingar geta einnig hugsa\u00f0 \u00e1 heildst\u00e6\u00f0ari h\u00e1tt. \u00deannig er h\u00e6gt a\u00f0 vinna me\u00f0 st\u00e6r\u00f0fr\u00e6\u00f0ileg verkefni sem krefjast meira af nemendum. H\u00e9r er nokkur verkefni sem n\u00fdtast vel \u00ed kennslu unglinga. \u00derautab\u00f3kin H\u00f6fu\u00f0verkur er \u00e6tlu\u00f0…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-307","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/pages\/307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/flatarmal.is\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=307"}],"version-history":[{"count":35,"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/pages\/307\/revisions"}],"predecessor-version":[{"id":6018,"href":"https:\/\/flatarmal.is\/index.php?rest_route=\/wp\/v2\/pages\/307\/revisions\/6018"}],"wp:attachment":[{"href":"https:\/\/flatarmal.is\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}