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[{"key": "dc.contributor.advisor", "value": "\u00c4kkinen, Tuomo", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.advisor", "value": "H\u00e4hki\u00f6niemi, Markus", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Jokiaho, Hanna", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Maaranen, Emma", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-06-25T06:54:51Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-06-25T06:54:51Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/96136", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4m\u00e4n tutkielman tarkoituksena on antaa informaatiota siit\u00e4, millaisia ovat 7.\u20138.-luokkalaisten yleisimm\u00e4t virheet geometriassa, ja miten muut oppilaat reagoivat vertaistensa tekemiin virheisiin. Tutkimustulosten on tarkoitus hy\u00f6dytt\u00e4\u00e4 erityisesti opettajia tarjoamalla tietoa oppilaiden geometrian taitotasosta sek\u00e4 argumentaatiotaidoista.\n\nT\u00e4ss\u00e4 tutkimuksessa hy\u00f6dynnet\u00e4\u00e4n Jyv\u00e4skyl\u00e4n opettajankoulutuslaitoksen valmiiksi ker\u00e4\u00e4m\u00e4\u00e4 DARLING-aineistoa. Aineistossa on videoitu 7.\u20138.-luokkalaisten yl\u00e4koululaisten matematiikan ryhm\u00e4ty\u00f6tilanteita. T\u00e4h\u00e4n tutkimukseen valikoitui viisi eri oppitunnin aihetta, joista pienryhm\u00e4videoita tuli yhteens\u00e4 69 kappaletta. Aineistoa analysoidaan laadullisin tutkimusmenetelmin, ja dialogisuutta tarkastellessa hy\u00f6dynnet\u00e4\u00e4n sovellettua dialogin ulottuvuuksien mallia.\n\nT\u00e4m\u00e4n aineiston tutkimustulokset osoittavat, ett\u00e4 yli puolet oppilaiden tekemist\u00e4 virheist\u00e4 liittyv\u00e4t termien nimiin ja m\u00e4\u00e4ritelmiin. Yleisin tapa reagoida virheeseen oli kommentointi, eli tilanteessa ei oteta kantaa virheeseen, vaan se ainoastaan kuitataan joko sanallisesti tai sanattomasti, esimerkiksi ny\u00f6kk\u00e4\u00e4m\u00e4ll\u00e4. Toiseksi yleisin tapa oli kuitenkin haastaminen, eli oppilaat melko rohkeasti uskaltavat osoittaa ep\u00e4kohtia toisten virheiss\u00e4.\n\nN\u00e4ytt\u00e4isi silt\u00e4, ett\u00e4 oppilaiden matemaattiseen puheeseen tulisi kiinnitt\u00e4\u00e4 huomiota. Virheet termeiss\u00e4 liittyi suurelta osin v\u00e4\u00e4r\u00e4n termin k\u00e4ytt\u00e4miseen, esimerkiksi pallon sijasta k\u00e4ytet\u00e4\u00e4n termi\u00e4 ympyr\u00e4. My\u00f6s m\u00e4\u00e4ritelmien osaamiseen tulee kiinnitt\u00e4\u00e4 huomiota. Oppilaiden rohkeus ja taidot virheisiin reagoimiseen ja sen haastamiseen ovat jo suhteellisen hyv\u00e4ll\u00e4 tasolla haastamisen ollessa toiseksi yleisin reagointitapa, mutta siin\u00e4 on viel\u00e4 kehitett\u00e4v\u00e4\u00e4.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2024-06-25T06:54:51Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-06-25T06:54:51Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "105", "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": "virhek\u00e4sitys", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "7.\u20138.-luokkalaisten virheet geometriassa ja virheiden vaikutukset ryhm\u00e4n v\u00e4liseen dialogiin", "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-202406254980", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "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": "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": "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": "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": "4041", "language": "", "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "argumentointi", "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": "virheet", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "dialogi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "dialogisuus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "yl\u00e4koulu", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "geometria", "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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