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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": "Suomela, Ella", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2018-12-21T06:26:50Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2018-12-21T06:26:50Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2018", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/60772", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Tutkielman tarkoituksena oli selvitt\u00e4\u00e4 millaisia n\u00e4kemyksi\u00e4 alan tutkimuskirjallisuus nostaa k\u00e4sitteenmuodostusv\u00e4lineiden k\u00e4yt\u00f6st\u00e4 alakoulun matematiikan opetuksessa ja onko niiden k\u00e4yt\u00f6ll\u00e4 positiivinen vaikutus oppimistuloksiin. K\u00e4sitteenmuodostusv\u00e4lineill\u00e4 tarkoitetaan t\u00e4ss\u00e4 konkreettisia k\u00e4sin kosketeltavia v\u00e4lineit\u00e4, joita k\u00e4ytet\u00e4\u00e4n matemaattisten k\u00e4sitteiden havainnollistamiseen. Alan kirjallisuudesta muodostetun teoriakatsauksen j\u00e4lkeen etsittiin tieteellisist\u00e4 tutkimusartikkeleista tuoreita tutkimustuloksia konkreettisten v\u00e4lineiden k\u00e4yt\u00f6st\u00e4 ja hy\u00f6dyist\u00e4 matematiikan opetuksessa. N\u00e4iden pohjalta aiheesta muodostettiin kuvaileva kirjallisuuskatsaus.\n\nTutkimuskirjallisuus nosti esille n\u00e4kemyksen, jonka mukaan k\u00e4sitteenmuodostusv\u00e4lineist\u00e4 on selke\u00e4sti hy\u00f6ty\u00e4 kaikkien alakoulun vuosiluokkien matematiikan opetuksessa. N\u00e4in ollen voimassa olevan opetussuunnitelman (POPS 2014) korostamille konkreettisille opetustavoille on olemassa tieteellinen perusta. \n\nTutkimustulosten mukaan konkreettisten v\u00e4lineiden k\u00e4ytt\u00f6 alakoulun matematiikan opetuksessa tuottaa perinteist\u00e4 esitt\u00e4v\u00e4\u00e4 opetusta parempia oppimistuloksia. Tehokkainta oppimisen kannalta on k\u00e4ytt\u00e4\u00e4 k\u00e4sitteen opettamiseen ensin konkreettisia v\u00e4lineit\u00e4, t\u00e4m\u00e4n j\u00e4lkeen kuvia ja lopuksi symbolista esitystapaa. Parhaimmat oppimistulokset saadaan aikaan v\u00e4lineill\u00e4, jotka haastavat oppilaan ajatteluprosessia, eiv\u00e4tk\u00e4 tarjoa vastausta valmiina.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2018-12-21T06:26:50Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2018-12-21T06:26:50Z (GMT). No. of bitstreams: 0\n Previous issue date: 2018", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "90", "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": "k\u00e4sitteenmuodostusv\u00e4lineet", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "konkretia", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Perusteita toiminnallisille ty\u00f6tavoille matematiikan opetuksessa", "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-201812215299", "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": 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