| dc.contributor.advisor | Fyhn, Anne | |
| dc.contributor.author | Haavold, Per Øystein | |
| dc.date.accessioned | 2014-01-22T11:55:04Z | |
| dc.date.available | 2014-01-22T11:55:04Z | |
| dc.date.issued | 2013-12-17 | |
| dc.description.abstract | The main research question in this research project was "what are the characteristics of mathematical creativity?" It was investigated both qualitatively and quantitatively and the findings are presented in four articles. In the first article, three high achieving students were given an unfamiliar trigonometric problem. The findings indicate strongly that the student’s way of thinking is strongly linked with imitative reasoning and only when received some form of guidance, were they able to display creative and flexible reasoning. In the second article, a theoretical model for optimizing creativity was investigated empirically using ANCOVA. Intrinsic motivation and an aesthetic sense of mathematics were found to be significant predictors of mathematical creativity. The data also revealed a strong relationship between mathematical achievement and mathematical creativity.
The third article looked at differences in mathematical creativity between 8th grade students and 11th grade students. Older students were found to score significantly higher on the mathematical creativity test. A proposed explanation for this is that the older students have three more years of schooling and might have developed a stronger connectedness of their mathematical knowledge base. Article four is a commentary and synthesis of three articles on mathematical creativity, giftedness and ability. The synthesis revealed that mathematical creativity is strongly linked with mathematical ability, spatial cognitive style and high intelligence. | en |
| dc.description.doctoraltype | ph.d. | en |
| dc.description.popularabstract | I dette forskningsprosjektet ble matematisk kreativitet som begrep undersøkt både kvantitativt og kvalitativt. I artikkel 1 ble tre skoleflinke elever i matematikk gitt et uvanlig trigonometrisk problem. Artikkelen konkluderte med at elevenes tenkemåte og matematiske resonnement var i stor grad imitative av natur og kun med veiledning klarte de å resonnere kreativt og fleksibelt. I artikkel 2 ble en teoretisk modell for optimalisering av kreativitet i klasserommet undersøkt empirisk. Funnene indikerer at motivasjon og et bestemt syn på matematikk som fag er koblet til matematisk kreativitet. Det ble også funnet en sterk sammenheng mellom matematisk kreativitet og matematiske prestasjoner.
Artikkel tre så på forskjeller i matematisk kreativitet mellom elever i 8. og 11. klasse. Elevene i 11. klasse var betydelig mer kreative. Én mulig forklaring er at de eldre elevene har en større kunnskapsbase i matematikk der mentale koblinger er sterkere. Artikkel fire er en syntese av tre andre artikler som undersøkte matematisk kreativitet. Syntesen indikerer at det er en sterk sammenheng mellom matematisk kreativitet, matematiske ferdigheter og høy intelligens. | en |
| dc.description.sponsorship | Universitetet i Tromsø | en |
| dc.description | The papers of this thesis are not available in Munin: <br/>1. Haavold, P.: 'What characterises high achieving students' mathematical reasoning', The Elements of Creativity and Giftedness in Mathematics Advances in Creativity and Giftedness (2011), vol. 1:193-215. Available at <a href=http://dx.doi.org/10.1007/978-94-6091-439-3_13>http://dx.doi.org/10.1007/978-94-6091-439-3_13</a> <br/>2. Haavold, P.: 'An empirical investigation of a theoretical model for mathematical creativity', (manuscript). <br/>3. Haavold, P.: 'Differences in mathematical creativity between 14 year old and 17 year old students', (manscript). <br/>4. Sriraman, B., Haavold, P. & Lee, K.: 'Mathematical creativity and giftedness: a commentary on and review of theory, new operational views, and ways forward', ZDM (2013), vol. 45(2):215-225. Available at <a href=http://dx.doi.org/10.1007/s11858-013-0494-6>http://dx.doi.org/10.1007/s11858-013-0494-6</a> | en |
| dc.identifier.isbn | 978-82-8236-111-8 (pdf) | |
| dc.identifier.uri | https://hdl.handle.net/10037/5782 | |
| dc.identifier.urn | URN:NBN:no-uit_munin_5492 | |
| dc.language.iso | eng | en |
| dc.publisher | Universitetet i Tromsø | en |
| dc.publisher | University of Tromsø | en |
| dc.rights.accessRights | openAccess | |
| dc.rights.holder | Copyright 2013 The Author(s) | |
| dc.subject.courseID | DOKTOR-004 | en |
| dc.subject | Matematikkdidaktikk | en |
| dc.title | What are the characteristics of mathematical creativity? An empirical and theoretical investigation of mathematical creativity. | en |
| dc.type | Doctoral thesis | en |
| dc.type | Doktorgradsavhandling | en |
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