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[{"key": "dc.contributor.author", "value": "Ilonen, Liisa", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Kangas, P\u00e4ivi", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2014-05-21T16:10:05Z", "language": "", "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2014-05-21T16:10:05Z", "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:1436077", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/43480", "language": "", "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Ilonen, L. & Kangas, P. 2014. Miten kymmenj\u00e4rjestelm\u00e4 hallitaan peruskoulun viidennell\u00e4 luokalla? Jyv\u00e4skyl\u00e4n yliopisto. Kokkolan yliopistokeskus Chydenius. Kasvatustieteen pro gradu \u2013tutkielma. 68 s. ja 3 liitett\u00e4.\r\n\r\nKymppi-kartoitus on materiaali, jota voidaan k\u00e4ytt\u00e4\u00e4 kymmenj\u00e4rjestelm\u00e4n osaamisen kartoittamiseen perusopetuksessa. Tutkimuksen tarkoituksena oli selvitt\u00e4\u00e4 Kymppi-kartoituksen avulla kymmenj\u00e4rjestelm\u00e4n hallintaa peruskoulun viidennell\u00e4 luokalla. Kohdejoukkona oli er\u00e4\u00e4n pirkanmaalaisen koulun 79 viidennen luokan oppilasta, jotka tekiv\u00e4t kartoituksen huhtikuussa 2013. Tutkimusmenetelm\u00e4n\u00e4 k\u00e4ytimme mixed methods \u2013menetelm\u00e4\u00e4, jossa yhdistyy m\u00e4\u00e4r\u00e4llinen ja laadullinen tutkimus. M\u00e4\u00e4r\u00e4llisen\u00e4 tutkimusaineistona olivat kartoituksen tulokset, jotka taulukoitiin ja analysoitiin tilastollisin menetelmin. Laadullisena aineistona oli kahden opettajan haastattelut Kymppi-kartoituksen k\u00e4ytt\u00f6\u00f6n liittyen. Haastattelut analysoimme sis\u00e4ll\u00f6nanalyysin avulla.\r\n\r\nVarhaiset matemaattiset taidot ovat laskutaidon perusta. Kymmenj\u00e4rjestelm\u00e4n ymm\u00e4rt\u00e4minen pohjautuu lukujonotaitoihin ja luvun paikka-arvon k\u00e4sitteen sis\u00e4ist\u00e4miseen. Erilaisten laskustrategioiden kehittyminen edellytt\u00e4\u00e4 kymmenj\u00e4rjestelm\u00e4n hallintaa. Tutkimuksessa k\u00e4vi ilmi, ett\u00e4 oppilaiden lukujonotaidot ovat edellytys laskuteht\u00e4vien osaamiselle. Tutkimustulos vahvistaa matematiikan hierakkisen rakenteen, jossa uudet taidot pohjautuvat aina aikaisempaan osaamiseen. Tutkimuksessa tarkasteltiin pistem\u00e4\u00e4rien eroja tytt\u00f6jen ja poikien v\u00e4lill\u00e4. Tilastollisesti merkitsevi\u00e4 eroja ei ollut. Haastatellut opettajat kokivat Kymppi-kartoituksen hy\u00f6dyllisen\u00e4 ty\u00f6v\u00e4lineen\u00e4 oppilaan taitojen selvitt\u00e4misess\u00e4. Opettaja voi sen avulla suunnitella opetusta oppilaan taitoja vastaavaksi. Opettajat ovat huomanneet oppilaiden osaamisen edistymisen, kun opetuksessa on keskitytty puutteellisten taitojen korjaamiseen.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by P\u00e4ivi Kangas (pahakang) on 2014-05-21 16:10:04.985482. Form: Pro gradu -lomake (2 tekij\u00e4\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-2-tekijaa). 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 2014-05-21T16:10:05Z\r\nNo. of bitstreams: 2\r\nURN:NBN:fi:jyu-201405211782.pdf: 1178529 bytes, checksum: 0ed80ce540a673e3f54700301e450a61 (MD5)\r\nlicense.html: 5469 bytes, checksum: b19ccb1923fbcaf09b71934cd9d3bd03 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2014-05-21T16:10:05Z (GMT). No. of bitstreams: 2\r\nURN:NBN:fi:jyu-201405211782.pdf: 1178529 bytes, checksum: 0ed80ce540a673e3f54700301e450a61 (MD5)\r\nlicense.html: 5469 bytes, checksum: b19ccb1923fbcaf09b71934cd9d3bd03 (MD5)\r\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (71 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": "varhaiset matemaattiset taidot", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Kymppi-kartoitus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "kymmenj\u00e4rjestelm\u00e4", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "matematiikan oppiminen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Miten kymmenj\u00e4rjestelm\u00e4 hallitaan peruskoulun viidennell\u00e4 luokalla?", "language": null, "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-201405211782", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", 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