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[{"key": "dc.contributor.advisor", "value": "Perkkil\u00e4, P\u00e4ivi", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Laakso, Sami", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2019-05-08T08:11:24Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2019-05-08T08:11:24Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2019", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/63813", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Kymmenjarjestelman hyvan hallinnan saavuttaminen on keskeinen alkuopetuksen matematiikan opetuksen tavoite. Tassa\u0308 pro gradu \u2013tutkimuksessa selvitet\u00e4\u00e4n kolmasluokkalaisten oppilaiden kymmenjarjestelman hallintaa. Aineisto ker\u00e4ttiin syksylla\u0308 2018 yhteensa\u0308 77 kolmannen luokan aloittaneelta oppilaalta.\nTeoreettisessa viitekehyksessa\u0308tarkastellaan aluksi matematiikan oppimista vuorovaikutuksen, kognitiivisten tekij\u00f6iden, motivaation ja oppimisvaikeuksien n\u00e4kokulmista. Seuraavaksi tarkastellaan keskeisia\u0308 matemaattisia taitoalueita, kymmenj\u00e4rjestelm\u00e4n oppimiseen liittyvia\u0308 matemaattisia valmiuksia seka\u0308 kymmenj\u00e4rrjestelm\u00e4n opettamiseen liittyvia\u0308 pedagogisia l\u00e4htokohtia. Lopuksi luodaan katsaus kymmenj\u00e4rjestelm\u00e4n hallintaa koskevaan aiempaan tutkimustietoon seka\u0308 kansainv\u00e4listen osaamiskartoitusten antamaan kuvaan suomalaislasten kymmenj\u00e4rjestelm\u00e4n hallinnasta. Tutkimusaineisto ker\u00e4ttiin Kymppikartoitus 1-mittaria seka\u0308 Junnauskoe 0\u221220 A-mittareita k\u00e4ytt\u00e4en syksylla\u0308 2018. Tutkimusaineisto koostuu 77 kolmasluokkalaisen kirjallisista vastauksista. Aineisto k\u00e4siteltiin tilastollisesti SPSS-ohjelmaa k\u00e4ytt\u00e4en.\nTutkimustulosten mukaan kymmenesosa oppilasta hallitsi kymmenj\u00e4rjestelm\u00e4n l\u00e4hes tai t\u00e4ysin virheettom\u00e4sti. Noin viidesosalla oppilaista oli kymmenj\u00e4rjestelm\u00e4n hallinnassa puutteita, jotka liittyiv\u00e4t useimmiten kymmenlukuylityksiin, lukupaikkak\u00e4sitteen ymm\u00e4rt\u00e4miseen ja lukujonotaitoihin. Suurella osalla oppilaista oli vakavia puutteita mittayksik\u00f6iden muunnosten ratkaisutaidoissa. Tulosten perusteella saadaankin vahvistusta siihen, etta\u0308 kymmenj\u00e4rjestelm\u00e4n hallinnan yksil\u00f6lliset osaamiserot ovat selke\u00e4sti tunnistettavissa jo kolmannen luokan alussa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2019-05-08T08:11:24Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2019-05-08T08:11:24Z (GMT). No. of bitstreams: 0\n Previous issue date: 2019", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "71", "language": "", "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": "varhaiset matemaattiset taidot", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "matematiikan oppiminen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "lasten kymmenjarjestelm\u00e4n hallinta", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Kymmenjarjestelm\u00e4n hallinta peruskoulun kolmannella luokalla", "language": "", "element": "title", "qualifier": null, "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-201905082480", "language": "", "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 ja psykologian tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Education and Psychology", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Kokkolan yliopistokeskus Chydenius", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Kokkolan yliopistokeskus Chydenius", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Kasvatustiede", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Education", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "102", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "alakoulu", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kymmenj\u00e4rjestelm\u00e4", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matematiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matemaattiset taidot", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matemaattinen ajattelu", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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