Forskning inom matematikdidaktik

Här presenteras forskning inom ämnesdidaktik bedriven av personer verksamma på Matematiska institutionen, med några av de centrala publikationerna inom respektive omr&aing; listade. Forskargruppen består för nävarande av följande personer:

- Christer Bergsten, professor i matematikdidaktik
- Jonas Bergman Ärlebäck, universitetslektor i matematikdidaktik
- Johanna Pejlare, forskarassistent i matematikdidaktik
- Hoda Agahi, doktorand
- Peter Frejd, doktorand
- Niclas Larsson, doktorand
- Patrik Erixon, forskarstuderande
- Anna Lundberg, forskarstuderande (lic-examen juni 2011, nu doktorand vid Göteborgs universitet)
- Leif Maerker, forskarstuderande
Dessutom är föjande personer associerade till MAI:
- Yukiko Asamai Johansson (Högskolan i Gävle)
- Semir Becevic (Högskolan i Halmstad)
- Marie Bergholm, forskarstuderande (Högskolan i Gävle)
- Sanela Mehanovic (Malmö högskola; lic-examen augusti 2011, nu doktorand vid Göteborgs universitet. Se Licentiatavhandling)

• Högskolans matematik
  Christer Bergsten, Hoda Agahi
  Övergången gymnasium-högskola (med Eva Jablonka, Luleå tekniska universitet); föreläsningar; gränsvärdesbegreppet
  Relaterade publikationer:
  - Bergsten, C. (2006). Trying to reach the limit - The role of algebra in mathematical reasoning. Proceedings of PME 30 (Vol. 2, pp. 153-160), Prague, July 2006.
  - Bergsten, C. Investigating quality of undergraduate mathematics lectures, Mathematics Education Research Journal, 19, 48-72.
  - Bergsten, C. (2008). On the influence of theory on research in mathematics education: the case of teaching and learning limits of functions. ZDM - The International Journal of Mathematics Education, 40, 189-199.
  - Engelbrecht, J., Bergsten, C., & Kågesten, O. (2009). Undergraduate students' preference for procedural to conceptual solutions to mathematical problems. International Journal of Mathematical Education in Science and Technology, 40(7), 927-940.
  - Bergsten, C. & Jablonka, E. (2010). Interpreting students' reasoning through the lens of two different languages of description: integration or juxtaposition? In V. Durand-Guerrier, S. Soury-Lavergne, & F. Arzarello (Eds.), Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education. January 28th - February 1st 2009, Lyon (pp. 1555-1564). Lyon: Institut National de Recherche Pédagogique.
  - Engelbrecht, J., Bergsten, C., & Kågesten. O. (in press). Conceptual and procedural approaches to mathematics in the engineering curriculum: Student conceptions and performance. Journal of Engineering Education.
  - Bergsten, C. (in press). A calculus lecture: What made it good? Paper presented at NORMA11 (The sixth Nordic Conference on Mathematics Education), May 11-14, 2011, Reykjavik, Iceland. To appear in the proceedings.
  - Bergsten, C. (in press). Why do students go to lectures? Paper presented at CERME7 (The Seventh Congress of the European Society for Research in Mathematics Education), February 9 - February 13, 2011, Rzeszow, Poland. To appear in the proceedings.

• Matematisk modellering på gymnasiet
  Jonas Bergman Ärlebäck, Peter Frejd
  Publicerat:
  - Ärlebäck, J.B. (2009). On the use of realistic Fermi problems for introducing mathematical modelling in school, The Montana Mathematics Enthusiast, 6(3), 331-364.
  - Ärlebäck, J.B., & Frejd, P. (2009). First results from a study investigating Swedish upper secondary students' mathematical modelling competencies, The 14th International Community of Teachers of Modelling and Applications, Hamburg.
  - Ärlebäck, J.B. & Bergsten, C. (2010). On the use of realistic Fermi problems in introducing mathematical modelling i upper secondary mathematics. In R. Lesh, P. L. Galbraith, C. R. Haines, & A. Hurford (Eds.), Modeling students' mathematical modeling competencies. ICTMA13 (pp. 597-609). New York: Springer.
  - Frejd, P. (2010). Revisiting perspectives on mathematical models and modelling. In Bergsten, C., Jablonka, E., & Wedege, T. (Eds.). (2010). Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, Stockholm, January 26-27, 2010 (pp. 80-90). Linköping: Skrifter från SMDF.
  - Frejd, P., & Ärlebäck, J.B. (2010). On Swedish upper secondary students' descriptions of the notions of mathematical models and modelling. In Bergsten, C., Jablonka, E., & Wedege, T. (Eds.). (2010). Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, Stockholm, January 26-27, 2010 (pp. 91-101). Linköping: Skrifter från SMDF.
  - Ärlebäck, J.B. (2010). Mathematical modelling in upper secondary mathematics education in Sweden. A curriculum and design study. Dissertation. Linköping Studies in Science and Technology, No. 1289, Department of Mathematics, Linköping University.
  - Frejd, P. (accepted). An investigation of mathematical modelling in the Swedish national course tests in mathematics. To appear in the proceedings of CERME 7, Seventh Conference of European Research in Mathematics Education, Rzeszow 9-13 February 2011.
  - Ärlebäck, J. B., & Frejd, P. (2010). First results from a study investigating Swedish upper secondary students' mathematical modelling competencies. In A. Araœjo, A. Fernandes, A. Azevedo, J.F. Rodrigues (Eds.), Proceedings of EIMI 2010, Educational interfaces between mathematics and industry, Lisbon 19-23 April (pp. 063-074). Compac, Inc.,Bedford MA USA.
  - Frejd, P. (2011). Teachers' conceptions of mathematical modelling at upper secondary school in Sweden (Rapport nr 2011:04, LiTH-MAT-R--2011--SE). Linköping: Linköpings universitet, Matematiska institutionen.
  - Frejd, P. (2011). Mathematical modelling in the Swedish national course tests in mathematics. In M. Mortensen, & C. Winslow (Eds), The Anthropological Theory of the Didactical (ATD) - peer reviewed papers from a PhD course at the University of Copenhagen, 2010 (pp. 61-78). IND Skriftserie 20. Copenhagen: Dept. of Science Education, 2011.
  - Frejd, P. (2011). Mathematical modelling in upper seconday school in Sweden. An exploratory study. Licentiate thesis. Linköping: Linköping university.

• Lärarutbildning i matematik
  Christer Bergsten
  Publicerat:
  - Bergsten, C. & Grevholm, B. (2004). The didactic divide and the education of mathematics teachers in Sweden. Nordic Studies in Mathematics Education 9(2), 123-144.
  - Bergsten, C., Grevholm, B. (2008). Knowledgeable teacher educators and linking practices. In B. Jaworski & T. Wood (Ed.), The mathematics teacher educator as a developing professional (pp. 223-246). New York: Sense Publishers.
  - Bergsten, C., Grevholm, B. (2009). Learning to teach mathematics: expanding the role of practicum as an integrated part of a teacher education programme. In R. Even & D. Ball (Eds.), The professional education and development of teachers of mathematics. The 15th ICMI Study (pp. 57-70). New York: Springer.

• Teorier inom matematikdidaktisk forskning
  Christer Bergsten
  Publicerat:
  - Bergsten, C. (2008). On the influence of theory on research in mathematics education: the case of teaching and learning limits of functions. ZDM - The International Journal of Mathematics Education, 40, 189-199.
  - Jablonka, E. & Bergsten, C. (2010). Theorising in mathematics education research: differences in modes and quality. Nordic Studies in Mathematics Education, 15(1), 25-52.
  - Bergsten, C. & Jablonka, E. (2010). Interpreting students' reasoning through the lens of two different languages of description: integration or juxtaposition? In V. Durand-Guerrier, S. Soury-Lavergne, & F. Arzarello (Eds.), Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education. January 28th - February 1st 2009, Lyon (pp. 1555-1564). Lyon: Institut National de Recherche Pédagogique.
  - Bergsten, C., Jablonka, E., & Klisinska, A. (2010). A remark on didactic transposition theory. In C. Bergsten, E. Jablonka, & T. Wedege (Eds.), Mathematics and mathematics education: Cultural and social dimensions. Proceedings of MADIF7, Stockholm, January 26-27, 2010 (pp. 58-68). Linköping: SMDF.
  - Jablonka, E. & Bergsten, C. (2010). Commentary on Theories of mathematics education: Is plurality a problem? In B. Sriraman, B. & L. English (Eds.), Theories of Mathematics Education: Seeking New Frontiers (pp. 111-120). New York: Springer.

• Varför matematik?
  Maria Bjerneby Häll (nu verksam vid Högskolan Dalarna)
  Publicerat: licentiatavhandling (2002) samt doktorsavhandling (2006)

• Läsförståelse och matematiska texter som grund för lärande i matematik
  Magnus Österholm (tjl, f.n. foass vid Umeå universitet)
  Publicerat: licentiatavhandling (2004), doktorsavhandling (2006)
  Mer information finns på Magnus Österholms personliga sida

• Proportionalitetsbegreppet i gymnasiematematiken
  Anna Lundberg (nu doktorand vid Göteborgs universitet)
  Publicerat: licentiatavhandling (2011)