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[{"key": "dc.contributor.author", "value": "Koponen, Anna-Katariina", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2022-06-03T10:57:13Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2022-06-03T10:57:13Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2022", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/81468", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Pro gradu -tutkimukseni tarkoituksena oli selvitt\u00e4\u00e4 mill\u00e4 tavoin peruskoulun toisen ja kolmannen luokan matematiikan oppikirjat tukevat kertolaskun k\u00e4sitteen rakentumista. Tavoitteena oli tutkia ja kuvata, millaisia kertolaskun k\u00e4sitteen rakentumiseen liittyvi\u00e4 teht\u00e4vi\u00e4 oppikirjoissa on. Lis\u00e4ksi tarkoituksena oli tutkia mill\u00e4 tavoin kertolaskua koskevien teht\u00e4vien luonne muuttuu opetuksen nivelvaiheessa, siirrytt\u00e4ess\u00e4 toiselta kolmannelle luokalle. \nTutkimuksessa analysoitiin laadullisen sis\u00e4ll\u00f6nanalyysin menetelmin kahta matematiikan oppimateriaalisarjaa. Oppimateriaalit olivat Milli ja Kymppi. Aineistol\u00e4ht\u00f6isen sis\u00e4ll\u00f6nanalyysin tukena oli teoriaohjaava eli abduktiivinen menetelm\u00e4. \n\tTuloksia peilattiin APOS-teoriaan (Dubinsky & McDonald, 2001; Tall, 2013.) Teoria kuvaa k\u00e4sitteiden rakentumista. Tutkimuksen mukaan sek\u00e4 Milli- ett\u00e4 Kymppi -oppimateriaaleissa kertolaskun k\u00e4site rakentuu APOS-teorian ensimm\u00e4iselt\u00e4 Action-vaiheelta, seuraavaan Process-vaiheeseen. Kertolaskun k\u00e4sitteen rakentumisen edellytys on opetuksen oikea-aikainen kohdentuminen oppilaan l\u00e4hikehityksen vy\u00f6hykkeelle.\n\tTutkimuksen tuloksiin on suhtauduttava kriittisesti. APOS-teorian vaiheet kuvaavat ihmisen mielen henkisi\u00e4 toimintoja ja tutkimuksessa tutkitaan kertolaskun k\u00e4sitteen rakentumista oppikirjoissa. Tuloksia tukee opettajan pedagoginen toiminta. Tutkimus edist\u00e4\u00e4 kertolaskun k\u00e4sitteen ymm\u00e4rt\u00e4mist\u00e4 ja matemaattisten pohjataitojen merkityst\u00e4 alkuopetuksessa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2022-06-03T10:57:13Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2022-06-03T10:57:13Z (GMT). No. of bitstreams: 0\n Previous issue date: 2022", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "117", "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": "kertolasku", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "k\u00e4sitteen rakentuminen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "oppimateriaalitutkimus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Kertolaskun k\u00e4sitteen rakentuminen toisen ja kolmannen luokan oppimateriaaleissa", "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-202206033086", "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": "Luokanopettajakoulutus", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teacher 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": "103", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "sis\u00e4ll\u00f6nanalyysi", "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": "oppikirjat", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "oppimateriaali", "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.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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