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[{"key": "dc.contributor.advisor", "value": "\u00c4kkinen, Tuomo", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "H\u00e4hki\u00f6niemi, Markus", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Vuorinen, Viivi", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2025-05-26T09:23:28Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2025-05-26T09:23:28Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2025", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/102753", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Tutkielman tavoite on selvitt\u00e4\u00e4, miten tasogeometriaa rakennetaan peruskoulun oppikirjoissa. Tutkimusaineistona ovat kaksi ala-asteen oppikirjasarjaa Milli (SanomaPro) ja Oivaltaja (Otava), sek\u00e4 kaksi yl\u00e4asteen oppikirjasarjaa Kuutio (SanomaPro) ja \u00c4\u00e4ret\u00f6n (Otava). \n\nTutkielma on oppikirjatutkimus, jossa k\u00e4ytettiin sek\u00e4 kvantitatiivista ett\u00e4 kvalitatiivista analyysi\u00e4. Oppikirjoista koodattiin tasogeometria kappaleiden teht\u00e4v\u00e4t. Tasogeometrian teoriaosuudet ja teorian tekemiseen liittyv\u00e4t teht\u00e4v\u00e4t otettiin my\u00f6s laadulliseen tarkasteluun. Tutkimuskysymykset ovat:\n \u2022 Mit\u00e4 mahdollisuuksia oppikirjat antavat oppilaille olla aktiivisessa roolissa teoriaa teht\u00e4ess\u00e4?\n \u2022 Millaisia eroja tai ristiriitaisuuksia k\u00e4sitteiden m\u00e4\u00e4rittelyss\u00e4 on kirjasarjojen sis\u00e4ll\u00e4, v\u00e4lill\u00e4 ja 6-7 luokkien vaihteessa?\n \u2022 Mitenoppikirjojen tapa rakentaa tasogeometrian teoriaa vertautuu aksiomaattiseen tapaan?\n\nTeoriassa esitell\u00e4\u00e4n ensin p\u00e4\u00e4kohdittain Hilbertin aksioomaj\u00e4rjestelm\u00e4\u00e4n pohjautuva tasogeometrian teoria Kuritun ym. teoksesta Geometria. T\u00e4t\u00e4 my\u00f6s verrataan kahteen muuhun l\u00e4hestymistapaan. T\u00e4m\u00e4n j\u00e4lkeen esitell\u00e4\u00e4n lyhyesti my\u00f6s geometrian oppimiseen liittyv\u00e4\u00e4 teoriaa. \n\nTuloksissa esitell\u00e4\u00e4n ensin teht\u00e4viin liittyv\u00e4t tulokset ja t\u00e4m\u00e4n j\u00e4lkeen tarkastellaan oppikirjoissa esiintyv\u00e4\u00e4 teoriaa. Teht\u00e4vist\u00e4 huomattiin, ett\u00e4 teorian tekemiseen liittyvi\u00e4 teht\u00e4vi\u00e4 on enemm\u00e4n yl\u00e4asteella kuin ala-asteella ja n\u00e4m\u00e4 ovat my\u00f6s monipuolisempia. Teht\u00e4vist\u00e4 suurin osa oli tutki piirt\u00e4m\u00e4ll\u00e4 teht\u00e4vi\u00e4 ja yleisin aihe oli monikulmiot.\n\nOppikirjasarjojen sis\u00e4ll\u00e4 tai v\u00e4lill\u00e4 ei p\u00e4\u00e4asiassa ollut merkitt\u00e4v\u00e4n suuria eroja tai ristiriitoja. Suurin kirjasarjan sis\u00e4inen ristiriita oli Oivaltajassa kulman m\u00e4\u00e4rittelyss\u00e4. Ala-asteella k\u00e4sitteiden m\u00e4\u00e4rittely oli p\u00e4\u00e4osin ep\u00e4tarkempaa ja perustui paljon kuviin. Ympyr\u00e4 on yksi k\u00e4sitteist\u00e4, jonka m\u00e4\u00e4rittely huomattavasti tarkentuu siirrytt\u00e4ess\u00e4 ala-asteelta yl\u00e4asteelle.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2025-05-26T09:23:28Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2025-05-26T09:23:28Z (GMT). No. of bitstreams: 0\n Previous issue date: 2025", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "42", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": null, "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Tasogeometrian rakentaminen peruskoulun oppikirjoissa", "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-202505264583", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": null, "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": null, "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Matematiikan opettajankoulutus", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teacher education programme in Mathematics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.copyright", "value": "\u00a9 The Author(s)", "language": "fi", "element": "rights", "qualifier": "copyright", "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.yso", "value": "matematiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "peruskoulu", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "geometria", "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": "oppimateriaali", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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