| 1. |
- Bengmark, Samuel, 1965, et al.
(författare)
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Success-factors in transition to university mathematics
- 2017
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Ingår i: International Journal of Mathematical Education in Science and Technology. - : Taylor & Francis Group. - 0020-739X .- 1464-5211. ; 48:7, s. 988-1001
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Tidskriftsartikel (refereegranskat)abstract
- This study examines different factors' relative importance for students' performance in the transition to university mathematics. Students' characteristics (motivation, actions and beliefs) were measured when entering the university and at the end of the first year. Principal component analysis revealed four important constructs: Self-efficacy, Motivation type, Study habits and Views of mathematics. Subsequently, orthogonal partial least squares (OPLS) analysis was used for measuring the constructs' ability to predict students' university mathematics grades. No individual constructs measured at the time of entrance predicted more than 5% of the variation. On the other hand, jointly they predicted 14%, which is almost in pair with upper secondary grades predicting 17%. Constructs measured at the end of the first year were stronger predictors, jointly predicting 37% of the variation in university grades, with Self-efficacy (21%) and Motivation (12%) being the two strongest individual predictors. In general, Study habits were not important for predicting university achievement. However, for students with low upper secondary grades, the textbook and interaction with peers, rather than internet-based resources, contributed positively to achievement. The association between Views of mathematics and performance was weak for all groups and non-existing for students with low grades.
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| 2. |
- Stadler, Erika, 1971, et al.
(författare)
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DIFFERENCES BETWEEN BEGINNERS’ AND EXPERIENCED STUDENTS’ APPROACHES TO LEARNING MATHEMATICS AT THE UNIVERSITY
- 2013
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Ingår i: CERME 8, Eighth Congress of European Research in Mathematics Education.
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Konferensbidrag (refereegranskat)abstract
- In this paper, we report on an on-going quantitative study of students’ transition from school to university mathematics. The study aims at examining differences between beginners and experienced students’ approaches to learning mathematics. Students were given questionnaires in the beginning and at the end of their first year at university. The results were summarized with descriptive and interferential statistics. The results show that beginners rely heavily on the teacher, while experienced students re-orient themselves from the teacher to other kinds of mathematical resources, for example peers and Internet based resources.
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| 3. |
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| 4. |
- Thunberg, Hans, 1956-
(författare)
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A recycled characterization of kneading sequences
- 1999
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Ingår i: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. - : World Scientific. - 0218-1274. ; 9:9, s. 1883-1887
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Tidskriftsartikel (refereegranskat)abstract
- For any infinite sequence E on two symbols one can define two sequences of positive integers S(E) (the splitting times) and T(E) (the cosplitting times), which each describe the self-replicative structure of E. If E is the kneading sequence of a unimodal map, it is known that S(E) and T(E) carry a lot of information on the dynamics, and that they are disjoint. We show the reverse implication: A nonperiodic sequence E is the kneading sequence of some unimodal map if the sequences S(E) and T(E) are disjoint.
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| 5. |
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| 6. |
- Thunberg, Hans, 1956-
(författare)
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Abundance of chaos in one-dimensional population dynamics
- 1999
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Ingår i: <em>International Conference on Differential Equations, Berlin 1999 </em>. - : World Scientific. - 9810243596 - 9810249888
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Konferensbidrag (refereegranskat)abstract
- We show that strongly chaotic maps appera with poitive frequency in parameter space within both the Ricker family and the Hassel family.
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| 7. |
- Thunberg, Hans, 1956-, et al.
(författare)
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Aims versus Expectations – a Swedish study of problems related to the transition from secondary to tertiary education in mathematics
- 2008
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Konferensbidrag (refereegranskat)abstract
- For a number of years now there has been reports that beginning science and engineering students at Swedish universities are having difficulties in passing their mathematics courses. Several studies involving diagnostic tests given to such students report a decline in student knowledge in areas generally considered to be important prerequisites of university mathematics. In order to describe, understand and explain the situation, we have performed a study involving not only the university perspective but also the perspective of students and secondary school teachers. We pinpoint areas of mathematics that constitute a gap of content, i.e. areas that are not covered in secondary school but nevertheless at university are treated as if they had already been covered. We also find a clash of cultures, i.e. a discrepancy in views of what constitutes important mathematical knowledge. Our method using questionnaires as well as course materials and official documents allows for a detailed description of how the goals of secondary school mathematics education are implemented in classroom practice, and how they compare with the expectations on newcomers in the classroom practice at the university.
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| 8. |
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| 9. |
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| 10. |
- Thunberg, Hans, 1956-, et al.
(författare)
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Gymnasiets mål och högskolans förväntningar
- 2006
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Ingår i: Nämnaren. - : Nationellt centrum för matematikutbildning (NCM). - 0348-2723. ; 33:2, s. 10-15
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Tidskriftsartikel (populärvet., debatt m.m.)
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