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[{"key": "dc.contributor.author", "value": "Korhonen, Katja", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2014-06-25T13:50:39Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2014-06-25T13:50:39Z", "language": null, "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:1438083", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/43843", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Korhonen, Katja. K\u00c4SITTEIDEN HIERARKIOIDEN MUODOSTUMINEN\nYL\u00c4KOULUN MATEMATIIKAN OPETUKSESSA. Erityispedagogiikan pro gradu \u2013\ntutkielma. Jyv\u00e4skyl\u00e4n yliopiston kasvatustieteiden laitos, 2014, 91 sivua. Julkaisematon.\n\nT\u00e4m\u00e4n tutkimuksen tarkoituksena oli selvitt\u00e4\u00e4, esiintyyk\u00f6 yl\u00e4koulun matematiikan\nopetuksessa k\u00e4sitteiden hierarkioita ja jos esiintyy, niin millaisia ne ovat.\nTutkimuksessa kuvailtiin, kuinka k\u00e4sitteiden hierarkiat rakentuvat opetuksessa ja miten\nopettajakokemus vaikutti hierarkian ilmenemiseen. Tutkimus toteutettiin osana MUSTprojektia,\njoka tutkii luokkahuonevuorovaikutusta matematiikan tunneilla ja k\u00e4sitteiden\nopettamista sosiokulttuurisesta n\u00e4k\u00f6kulmasta.\n\nTutkimukseen osallistui kuusi matematiikan yl\u00e4koulun aineenopettajaa. Aineisto\nmuodostui 30 oppitunnin litteraatista sek\u00e4 kyselylomakkeilla ker\u00e4tyist\u00e4 opettajien\ntaustatiedoista. Tutkimusmenetelmin\u00e4 toimivat sis\u00e4ll\u00f6nanalyysi ja fenomenografia.\n\nTutkimuksen tulokset osoittivat, ett\u00e4 yl\u00e4koulun matematiikan opetuksessa muodostuu\nselkeit\u00e4 k\u00e4sitteiden hierarkioita. K\u00e4sitteet eiv\u00e4t rakentuneet hierarkkisesti jokaisella\noppitunnilla, vaan niiden rakentuminen oli oppitunti- ja opettajakohtaista. Matemaattiset\nk\u00e4sitteiden hierarkiat voivat rakentua perus-, ala- ja yl\u00e4k\u00e4sitteiden tasoille. Eniten\nopetuksessa ilmeni perusk\u00e4sitteit\u00e4, joiden runsas m\u00e4\u00e4r\u00e4 ennakoi usealle k\u00e4sitteen tasolle\nrakentuvaa hierarkiaa. Mit\u00e4 moniulotteisemmasta k\u00e4sitetasosta oli kyse, sit\u00e4 v\u00e4hemm\u00e4n\nsiin\u00e4 esiintyi k\u00e4sitteit\u00e4. Aineiston perusteella voidaan todeta, ett\u00e4 matematiikan opetus\nvoi usein typisty\u00e4 perusk\u00e4sitteiden tasolle. Opetusta tulisi rakentaa tietoisesti\nkaksiportaisesti alak\u00e4sitteidenkin tasolle tai vaihtoehtoisesti kolmiportaisesti, jolloin\nopetuksessa esiintyy my\u00f6s yl\u00e4k\u00e4sitteit\u00e4. T\u00e4m\u00e4 auttaa ilmi\u00f6n syv\u00e4llisemm\u00e4ss\u00e4\nymm\u00e4rt\u00e4misess\u00e4, joka on my\u00f6s matematiikan opetuksen keskeinen tavoite.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Katja Korhonen (katmarsu) on 2014-06-25 13:50:38.722385. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija@noreply.fi) on 2014-06-25T13:50:39Z\nNo. of bitstreams: 2\nURN:NBN:fi:jyu-201406252154.pdf: 522414 bytes, checksum: ece5359264454dae1e49858916620500 (MD5)\nlicense.html: 4834 bytes, checksum: 1483c3943242a66a4068d139443dd711 (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2014-06-25T13:50:39Z (GMT). No. of bitstreams: 2\nURN:NBN:fi:jyu-201406252154.pdf: 522414 bytes, checksum: ece5359264454dae1e49858916620500 (MD5)\nlicense.html: 4834 bytes, checksum: 1483c3943242a66a4068d139443dd711 (MD5)\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (91 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": "matemaattisten k\u00e4sitteiden hierarkia", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "sosiokonstruktivismi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "matematiikan opetus yl\u00e4koulussa", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "sis\u00e4ll\u00f6nanalyysi", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "fenomenografia", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "K\u00e4sitteiden hierarkioiden muodostuminen yl\u00e4koulun matematiikan opetuksessa", "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-201406252154", "language": null, "element": "identifier", 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"en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Erityispedagogiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Special Education", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.method", "value": "Fenomenografia", "language": null, "element": "subject", "qualifier": "method", "schema": "dc"}, {"key": "dc.subject.method", "value": "Sis\u00e4ll\u00f6nanalyysi", "language": null, "element": "subject", "qualifier": "method", "schema": 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"yl\u00e4koulu", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "k\u00e4sitteet", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "sosiaalinen konstruktivismi", "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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