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Publications (10 of 16) Show all publications
Thunberg, H., Stadler, E., Bengmark, S. & Winberg, M. (2013). Approaches to Learning Mathematics - Differences Between Beginning and Experienced University Students. In: : . Paper presented at Eighth Congress of European Research in Mathematics Education (CERME 8), Antalya 2013.
Open this publication in new window or tab >>Approaches to Learning Mathematics - Differences Between Beginning and Experienced University Students
2013 (English)Conference paper, Oral presentation only (Refereed)
National Category
Didactics
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-190164 (URN)
Conference
Eighth Congress of European Research in Mathematics Education (CERME 8), Antalya 2013
Note

QC 20160824

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-24Bibliographically approved
Thunberg, H. (2013). Tonsättaren Per Nörgårds ''oändlighetsserie". Normat, 61(1), 33-47
Open this publication in new window or tab >>Tonsättaren Per Nörgårds ''oändlighetsserie"
2013 (Swedish)In: Normat, ISSN 0801-3500, Vol. 61, no 1, p. 33-47Article in journal (Refereed) Published
Abstract [en]

This article presents a mathematical description, in terms of recursively defined number sequences, of the algorithms devised by the Danish composer Nørgård. The ambition of the latter was to generate from a very short sequence of tones melodies rich in symmetries and selfsimilarities, melodies which could be aperiodic and hence infinite in length. Given the mathematical presentation a variety of results can be formulated and proved. Note that the well-known Thue-Morse sequence is essentially a special case.

Place, publisher, year, edition, pages
Scandinavian University Press, 2013
National Category
Other Mathematics Discrete Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-190147 (URN)
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2017-11-28Bibliographically approved
Thunberg, H., Stadler, E., Bengmark, S. & Winberg, M. (2012). Novice mathematics students at the university: Experiences, orientations and expectations. In: Bergsten, C., Jablonka, E., & Raman, M. (Ed.), Evaluation and comparison of mathematical achievement: Dimensions and perspectives: Proceedings of MADIF8. Paper presented at The Eighth Swedish Mathematics Education Research Seminar, Umeå, January 24-25, 2012.. Linköping: Svensk förening för MatematikDidaktisk Forskning - SMDF
Open this publication in new window or tab >>Novice mathematics students at the university: Experiences, orientations and expectations
2012 (English)In: Evaluation and comparison of mathematical achievement: Dimensions and perspectives: Proceedings of MADIF8 / [ed] Bergsten, C., Jablonka, E., & Raman, M., Linköping: Svensk förening för MatematikDidaktisk Forskning - SMDF, 2012Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we report an on-going study of novice university students in mathematics and the secondary-tertiary transition. A total of 146 novice mathematics students from three Swedish universities were given a questionnaire in the beginning of their first semester. The aim was to characterize them as learners of mathematics. The results were summarized with descriptive statistics, and Principal Component Analysis (PCA) was used to look for correlations. The results show that the teacher and the textbook play a crucial role in their learning of mathematics. Furthermore, the students can be characterized as either individual or interactive learners, which relates to students’ grades.

Place, publisher, year, edition, pages
Linköping: Svensk förening för MatematikDidaktisk Forskning - SMDF, 2012
Series
Skrifter från SMDF, ISSN 1651-3274 ; 9
National Category
Didactics
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-62164 (URN)978-91-973934-8-5 (ISBN)
Conference
The Eighth Swedish Mathematics Education Research Seminar, Umeå, January 24-25, 2012.
Note

QC 20160824

Available from: 2016-08-10 Created: 2012-01-18 Last updated: 2016-08-24Bibliographically approved
Thunberg, H. (2010). Student Teacher-Training in Science and Mathematics: Experiences from a Combined Teacher-Training and Engineering Programme. In: G. Anthony, & B. Grevholm (Ed.), Teachers of Mathematics: Recruitment and Retention, Professional Identity and Development: . Svensk förening för MatematikDidaktisk Forskning
Open this publication in new window or tab >>Student Teacher-Training in Science and Mathematics: Experiences from a Combined Teacher-Training and Engineering Programme
2010 (English)In: Teachers of Mathematics: Recruitment and Retention, Professional Identity and Development / [ed] G. Anthony, & B. Grevholm, Svensk förening för MatematikDidaktisk Forskning , 2010Chapter in book (Other academic)
Abstract [en]

This paper reports on experiences from a new combined engineering and teacher-training programme, run by The Royal Institute of Technology (KTH) and The Stockholm Institute of Education (LHS) in cooperation. We give a brief description of the structure of the programme, where integration of subject matter, didactics and engineering skills is a key concept. We describe the profile and the expectations of the student group; it seems that this programme to a very large extent has attracted students that do have a wish to work as teachers in science and mathematics, but would have gone for a traditional engineering education in the absence of this new opportunity

Place, publisher, year, edition, pages
Svensk förening för MatematikDidaktisk Forskning, 2010
Series
SMDF:s skriftserie ; 8
National Category
Educational Sciences
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-190153 (URN)
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-11Bibliographically approved
Thunberg, H. & Filipsson, L. (2008). Aims versus Expectations – a Swedish study of problems related to the transition from secondary to tertiary education in mathematics. In: : . Paper presented at ICME 11, the International Congress on Mathematical Education..
Open this publication in new window or tab >>Aims versus Expectations – a Swedish study of problems related to the transition from secondary to tertiary education in mathematics
2008 (English)Conference paper, Oral presentation only (Refereed)
Abstract [en]

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.

National Category
Didactics
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-190168 (URN)
Conference
ICME 11, the International Congress on Mathematical Education.
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-11Bibliographically approved
Thunberg, H., Filipsson, L. & Cronhjort, M. (2006). Gymnasiets mål och högskolans förväntningar. Nämnaren : tidskrift för matematikundervisning, 33(2), 10-15
Open this publication in new window or tab >>Gymnasiets mål och högskolans förväntningar
2006 (Swedish)In: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 33, no 2, p. 10-15Article in journal (Other (popular science, discussion, etc.)) Published
Place, publisher, year, edition, pages
Nationellt centrum för matematikutbildning (NCM), 2006
National Category
Didactics
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-190157 (URN)
Note

QC 20160824

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2017-11-28Bibliographically approved
Thunberg, H. & Lingefjärd, T. (2006). Öppet brev till Skolverket: Avancerade räknare - hjälper eller stjälper?,. Nämnaren : tidskrift för matematikundervisning, 33(4), 10-13
Open this publication in new window or tab >>Öppet brev till Skolverket: Avancerade räknare - hjälper eller stjälper?,
2006 (Swedish)In: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 33, no 4, p. 10-13Article in journal (Other (popular science, discussion, etc.)) Published
National Category
Didactics
Research subject
Education and Communication in the Technological Sciences
Identifiers
urn:nbn:se:kth:diva-190159 (URN)
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2017-11-28Bibliographically approved
Thunberg, H. (2000). Periodicity versus chaos in certain population models. In: D. S. Broomhead, E. A. Luchinskaya, P. V. E. McClintock & T. Mullin (Ed.), Stochastic and Chaotic Dynamics in the Lakes: Stochaos. Paper presented at Stochastic and Chaotic Dynamics in the Lakes, Ambleside, UK 1999. American Institute of Physics (AIP)
Open this publication in new window or tab >>Periodicity versus chaos in certain population models
2000 (English)In: Stochastic and Chaotic Dynamics in the Lakes: Stochaos / [ed] D. S. Broomhead, E. A. Luchinskaya, P. V. E. McClintock & T. Mullin, American Institute of Physics (AIP), 2000Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2000
Series
AIP Conference proceedings, ISSN 0094-243X ; 502
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-190146 (URN)1-56396-915-7 (ISBN)
Conference
Stochastic and Chaotic Dynamics in the Lakes, Ambleside, UK 1999
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-11Bibliographically approved
Thunberg, H. (1999). A recycled characterization of kneading sequences. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 9(9), 1883-1887
Open this publication in new window or tab >>A recycled characterization of kneading sequences
1999 (English)In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, ISSN 0218-1274, Vol. 9, no 9, p. 1883-1887Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
World Scientific, 1999
Keywords
Unimodal dynamical systems, kneading theory
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-190142 (URN)10.1142/S0218127499001371 (DOI)000083733300021 ()
Note

QC 20160810

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2017-11-28Bibliographically approved
Thunberg, H. (1999). Abundance of chaos in one-dimensional population dynamics. In: Fiedler B., Gröger K. & Sprekels J. (Ed.), International Conference on Differential Equations, Berlin 1999 : . Paper presented at International Conference on Differential Equations, Berlin 1999. World Scientific, 2
Open this publication in new window or tab >>Abundance of chaos in one-dimensional population dynamics
1999 (English)In: International Conference on Differential Equations, Berlin 1999 / [ed] Fiedler B., Gröger K. & Sprekels J., World Scientific, 1999, Vol. 2Conference paper, Published paper (Refereed)
Abstract [en]

We show that strongly chaotic maps appera with poitive frequency in parameter space within both the Ricker family and the Hassel family.

Place, publisher, year, edition, pages
World Scientific, 1999
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-190145 (URN)981-02-4359-6 (ISBN)981-02-4988-8 (ISBN)
Conference
International Conference on Differential Equations, Berlin 1999
Note

QC 20160811

Available from: 2016-08-10 Created: 2016-08-10 Last updated: 2016-08-11Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-7158-5865

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