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[{"key": "dc.contributor.author", "value": "Sippala, Vivi", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2014-04-04T10:34:06Z", "language": "", "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2014-04-04T10:34:06Z", "language": "", "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2014", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1312174", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/43175", "language": "", "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Unkarista l\u00e4ht\u00f6isin oleva Varga-nem\u00e9nyi \u2013 matematiikanopetusmenetelm\u00e4 on konstruktivistinen ja oppilasl\u00e4ht\u00f6inen tapa opettaa matematiikkaa. Menetelm\u00e4ss\u00e4 on seitsem\u00e4n pedagogista perusperiaatetta: 1) todellisuuteen perustuvien kokemusten hankkiminen, 2)abstraktion tie, 3) oppilaan kehityksen ja ominaispiirteiden huomioon ottaminen, 4) toimintav\u00e4lineiden runsas k\u00e4ytt\u00f6, 5) laaja ja yhten\u00e4inen k\u00e4sitteiden pohjustus, 6) opettaja ja matematiikan opetus ja 7) lupa erehty\u00e4, v\u00e4itell\u00e4 ja iloita. \r\nVarga-Nem\u00e9nyi -kursseja j\u00e4rjestet\u00e4\u00e4n opettajille eri puolella Suomea. T\u00e4ss\u00e4 tutkimuksessa aineisto koostuu t\u00e4ydennyskoulutuskursseilta ker\u00e4tyist\u00e4 kirjoitelmista, joita arvioin laadullisesti sis\u00e4ll\u00f6nanalyysin avulla. Empiirisen tutkimuksen teoreettisena taustana esittelen Varga-Nem\u00e9nyi \u2013 opetusmenetelm\u00e4n perusperiaatteet sek\u00e4 joitakin matemaattisen ajattelun malleja. Tutkimuksen empiirisess\u00e4 osassa keskityn analysoimaan matemaattisen ajattelun prosessin vaiheiden toteutumista Dienesin teorian pohjalta. Tarkastelen lis\u00e4ksi abstraktion tie \u2013 perusperiaatteen n\u00e4ytt\u00e4ytymist\u00e4 kirjoitelmissa.\r\nTutkimustulosten perusteella voidaan todeta, ett\u00e4 matemaattisen ajattelun prosessissa erityisesti matemaattisten s\u00e4\u00e4nn\u00f6nmukaisuuksien havaitsemiseen tulisi kiinnitt\u00e4\u00e4 enemm\u00e4n huomiota. K\u00e4yt\u00e4nn\u00f6n toteutuksessa puutteita ilmeni my\u00f6s opetettavan aiheen mallintamisessa ja niihin liittyv\u00e4ss\u00e4 keskustelussa. Abstraktion tie \u2013 perusperiaate toteutui alle kolmasosassa kirjoitelmista, mik\u00e4 viittaisi siihen, ett\u00e4 t\u00e4ydennyskurssit auttavat alkuun menetelm\u00e4n k\u00e4yt\u00f6ss\u00e4, mutta menetelm\u00e4n sis\u00e4ist\u00e4minen ja matemaattisen ajattelun tukeminen vaatii opettajalta jatkuvaa ty\u00f6ss\u00e4 kehittymist\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Vivi Sippala (vimarepo) on 2014-04-04 10:34:05.858424. Form: Pro gradu -lomake (1 tekij\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-1-tekijae). JyX data:", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2014-04-04T10:34:06Z\r\nNo. of bitstreams: 2\r\nURN:NBN:fi:jyu-201404041469.pdf: 896989 bytes, checksum: f88c408ac8bf355a9e3aabf73388ad7f (MD5)\r\nlicense.html: 4945 bytes, checksum: e330be16c530983c57bf2ce9bd4952d6 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2014-04-04T10:34:06Z (GMT). No. of bitstreams: 2\r\nURN:NBN:fi:jyu-201404041469.pdf: 896989 bytes, checksum: f88c408ac8bf355a9e3aabf73388ad7f (MD5)\r\nlicense.html: 4945 bytes, checksum: e330be16c530983c57bf2ce9bd4952d6 (MD5)\r\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (62 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "matematiikka", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "opetus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "lapsil\u00e4ht\u00f6isyys", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "toiminnallisuus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Varga-Nem\u00e9nyi \u2013opetusmenetelm\u00e4", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "matemaattinen ajattelu", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "opettajan koulutus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Matemaattinen ajattelu esiopetuksessa ja alakoulussa : Varga-Neme\u0301nyi -menetelm\u00e4n opetuskokeilujen tarkastelua", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.title.alternative", "value": "Varga-Neme\u0301nyi -menetelm\u00e4n opetuskokeilujen tarkastelua", "language": null, "element": "title", "qualifier": "alternative", "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201404041469", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Kasvatustieteiden tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": 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