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[{"key": "dc.contributor.advisor", "value": "Kosonen, Erja", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Fagerlund, Josefiina", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2020-03-12T06:27:16Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2020-03-12T06:27:16Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2020", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/68136", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Kandidaatintutkielmani on kirjallisuuskatsaus, jossa tarkastelen kolmea asiaa: musiikin matemaattisia ominaisuuksia \u2013 my\u00f6s historian n\u00e4k\u00f6kulmasta, matematiikan hy\u00f6dynt\u00e4miskeinoja musiikin s\u00e4velt\u00e4miseen sek\u00e4 matematiikan integrointia musiikintunneille koulumaailmassa.\nTutkin aihetta oman kiinnostukseni vuoksi tulevana musiikin- ja matematiikanopettajana. N\u00e4en molemmissa oppiaineissa potentiaalia toistensa t\u00e4ydent\u00e4miseen \u2013 puolin ja toisin. Lis\u00e4ksi t\u00e4m\u00e4 erikoinen oppiaineyhdistelm\u00e4 saattaa her\u00e4tt\u00e4\u00e4 mielenkiintoa oppilaissa.\nTutkimukseni tuloksena l\u00f6ysin erilaisia tapoja hy\u00f6dynt\u00e4\u00e4 matematiikkaa musiikin tarkasteluun. Kartoitin lis\u00e4ksi hieman musiikin ja matematiikan yhteist\u00e4 historiaa sek\u00e4 muutamia eri tapoja k\u00e4ytt\u00e4\u00e4 matematiikkaa hyv\u00e4ksi s\u00e4velt\u00e4miseen. Sain my\u00f6s k\u00e4siini k\u00e4yt\u00e4nn\u00f6n esimerkkej\u00e4, miten sulauttaa matematiikan oppeja my\u00f6s musiikintunneille. Loppujen lopuksi olen vakuuttunut, ett\u00e4 matematiikkaa voi hyvinkin helposti sis\u00e4llytt\u00e4\u00e4 musiikinopetukseen \u2013 tai toisinp\u00e4in.\nAiheeni jatkok\u00e4sittelyss\u00e4 voidaan tutkia erilaisten oppilaiden potentiaalia oppia sek\u00e4 musiikkia ett\u00e4 matematiikkaa. On mielenkiintoista saada selville, onko esimerkiksi musiikillisesta tai matemaattisesta lahjakkuudesta apua t\u00e4ss\u00e4 kombinaatiossa. Lis\u00e4ksi kattavalle tietopaketille musiikin ja matematiikan yhdist\u00e4vist\u00e4 harjoitteista olisi k\u00e4ytt\u00f6\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Paivi Vuorio (paelvuor@jyu.fi) on 2020-03-12T06:27:16Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2020-03-12T06:27:16Z (GMT). No. of bitstreams: 0\n Previous issue date: 2020", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "30", "language": "", "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": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "oppiaineintegraatio", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "ilmi\u00f6oppiminen", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Matemaattinen musiikki", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "bachelor thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202003122385", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Bachelor's thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Kandidaatinty\u00f6", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Humanistis-yhteiskuntatieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Humanities and Social Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Musiikin, taiteen ja kulttuurin tutkimuksen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Music, Art and Culture Studies", "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": "Musiikkikasvatus", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Music 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_7a1f", "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": "bachelorThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "3052", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "matematiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "musiikki", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "opetus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "musiikkikasvatus", "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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