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Networking of Theories as a Research Practice in Mathematics Education pp 3–12Cite as

Starting Points for Dealing with the Diversity of Theories

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Part of the book series: Advances in Mathematics Education ((AME))

Abstract

This chapter presents the main ideas and constructs of the book and uses the triplet (system of principles, methodologies, set of paradigmatic questions) for describing the theories involved. In Part II (Chaps. 3, 4, 5, 6, and 7), the diversity of five theoretical approaches is presented; these approaches are compared and systematically put into a dialogue throughout the book. In Part III (Chaps. 9, 10, 11, and 12), four case studies of networking practices between these approaches show how this dialogue can take place. Chapter 8 and Part IV (Chaps. 13, 14, 15, 16, and 17) provide methodological discussions and reflections on the presented networking practices.

Networking Theories Group: Angelika Bikner-Ahsbahs, Susanne Prediger, Michèle Artigue, Ferdinando Arzarello, Marianna Bosch, Tommy Dreyfus, Josep Gascón, Stefan Halverscheid, Mariam Haspekian, Ivy Kidron, Agnès Lenfant, Alexander Meyer, Cristina Sabena, and Ingolf Schäfer

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References

  • Artigue, M., Bartolini-Bussi, M., Dreyfus, T., Gray, E., & Prediger, S. (2006). Different theoretical perspectives and approaches in research in mathematics education. In M. Bosch (Ed.), Proceedings of the 4th Congress of the European Society for Research in Mathematics Education (pp. 1239–1244). Barcelona: Fundemi IQS.

    Google Scholar 

  • Arzarello, F., Bosch, M., Lenfant, A., & Prediger, S. (2008). Different theoretical perspectives in research from teaching problems to research problems. In D. Pitta-Pantazi, G. Phillipou, et al. (Eds.), Proceedings of the 5th Congress of the European Society for Research in Mathematics Education (CERME 5) (pp. 1618–1627). Cyprus: ERME.

    Google Scholar 

  • Assude, T., Boero, P., Herbst, P., Lerman, S., & Radford, L. (2008). The notions and roles of theory in mathematics education research. Paper presented by the Survey Team at ICME 11, Mexico.

    Google Scholar 

  • Bikner-Ahsbahs, A., & Prediger, S. (2010). Networking of theories – An approach for exploiting the diversity of theoretical approaches. In B. Sriraman & L. English (Eds.), Theories of mathematics education: Seeking new frontiers (Advances in mathematics education series, pp. 483–506). New York: Springer.

    Chapter  Google Scholar 

  • English, L., & Sriraman, B. (2005). Theories of mathematics education: A global survey of theoretical frameworks/trends in mathematics education research. Zentralblatt für Didaktik der Mathematik, 37(6), 450–456.

    Article  Google Scholar 

  • Ernest, P. (1998). A postmodern perspective on research in mathematics education. In A. Sierpinska & J. Kilpatrick (Eds.), Mathematics education as a research domain: A search for identity (Vol. 1, pp. 71–85). Dordrecht: Kluwer.

    Chapter  Google Scholar 

  • Kidron, I., Bikner-Ahsbahs, A., Monaghan, J., Radford, L., & Sensevy, G. (2011). Different theoretical perspectives and approaches in research in mathematics education. In M. Pytlak, T. Rowland, & E. Swoboda (Eds.), Proceedings of the 7th conference of the European Society for Research in Mathematics Education (pp. 2377–2380). Rzeszow: ERME/University of Rzeszow.

    Google Scholar 

  • Kidron, I., Bosch, M., Monaghan, J., & Radford, L. (2013). Different theoretical perspectives and approaches in research in mathematics education. In B. Ubuz, C. Haser, & M. A Mariotti (Eds.), Proceedings of the 8th Congress of the European Society for Research in Mathematics Education (CERME 8), Antalya.

    Google Scholar 

  • Lerman, S. (2006). Theories of mathematics education: Is plurality a problem? Zentralblatt für Didaktik der Mathematik, 38(1), 8–13.

    Article  Google Scholar 

  • Mason, J., & Waywood, A. (1996). The role of theory in mathematics education and research. In A. J. Bishop et al. (Eds.), International handbook of mathematics education (pp. 1055–1089). Dordrecht: Kluwer.

    Google Scholar 

  • Prediger, S., Arzarello, F., Bosch, M., & Lenfant, A. (Eds.). (2008a). Comparing, combining, coordinating – Networking strategies for connecting theoretical approaches. Thematic Issue of ZDM – The International Journal on Mathematics Education, 40(2), 163–327.

    Google Scholar 

  • Prediger, S., Bikner-Ahsbahs, A., & Arzarello, F. (2008b). Networking strategies and methods for connecting theoretical approaches: First steps towards a conceptual framework. ZDM – The International Journal on Mathematics Education, 40(2), 165–178.

    Article  Google Scholar 

  • Prediger, S., Bosch, M., Kidron, I., Monaghan, J., & Sensevy, G. (2010). Different theoretical perspectives and approaches in mathematics education research – Strategies and difficulties when connecting theories. In V. Durand-Guerrier, S. Soury-Lavergne, & F. Arzarello (Eds.), Proceedings of the Sixth Congress of the European Society for Research in Mathematics Education (pp. 1529–1534). Lyon: Institut National de Recherche Pédagogique.

    Google Scholar 

  • Prediger, S. (2014, in press). Rolle von Theorien. In R. Bruder, L. Hefendehl-Hebeker, B. Schmidt-Thieme, & H.-G. Weigand (Eds.), Handbuch Mathematikdidaktik. Heidelberg: Springer.

    Google Scholar 

  • Radford, L. (2008). Connecting theories in mathematics education: Challenges and possibilities. ZDM – The International Journal on Mathematics Education, 40(2), 317–327.

    Article  Google Scholar 

  • Radford, L. (2012, May 31–June 1). On the growth and transformation of mathematics education theories. Paper presented at the international colloquium: The didactics of mathematics: Approaches and issues. A homage to Michèle Artigue. http://www.laurentian.ca/educ/lradford. Accessed 29 Oct 2013.

  • Silver, E. A., & Herbst, P. G. (2007). Theory in mathematics education scholarship. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 39–68). Reston: NCTM.

    Google Scholar 

  • Sriraman, B., & English, L. (Eds.). (2010). Theories of mathematics education: Seeking new frontiers (Advances in mathematics education series). New York: Springer.

    Google Scholar 

  • Steen, L. A. (1999). Review of mathematics education as research domain. Journal for Research in Mathematics Education, 30(2), 235–241.

    Article  Google Scholar 

  • Teppo, A. (1998). Divers ways of knowing. In A. R. Teppo (Ed.), Qualitative research methods in mathematics education (pp. 1–16). Reston: NCTM.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Fachbereich 03 für Mathematik und Informatik, AG Didaktik der Mathematik, University of Bremen, Bibliothekstrasse 1, D-28359, Bremen, Germany

    Angelika Bikner-Ahsbahs

  2. Institute for Development and Research in Mathematics Education, TU Dortmund University, D-44227, Dortmund, Germany

    Susanne Prediger

  3. Laboratoire LDAR & IREM, Université Paris Diderot – Paris 7, Sorbonne Paris Cité, Case 7018, 75205, Paris Cedex 13, France

    Michèle Artigue

  4. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto, 10, 10123, Torino, Italy

    Ferdinando Arzarello

  5. IQS School of Management, Universitat Ramon Llull, Via Augusta 390, 08017, Barcelona, Spain

    Marianna Bosch

  6. Department of Mathematics Science and Technology Education, Joan and Jaime Constantiner School of Education, Tel Aviv University, 39040, Ramat Aviv, Tel Aviv, 69978, Israel

    Tommy Dreyfus

  7. Departament de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, Edifici C – Campus de la UAB, 08193, Bellaterra (Cerdanyola del Vallès), Barcelona, Spain

    Josep Gascón

  8. Mathematics Institute, Georg-August-University, Bunsenstr. 3-5, D-37073, Göttingen, Germany

    Stefan Halverscheid

  9. Laboratoire EDA, Faculté des Sciences Humaines et Sociales, Université Paris Descartes, Sorbonne Paris Cité, 45, rue des Saints-Pères, 75270, Paris Cedex 06, France

    Mariam Haspekian

  10. Department of Applied Mathematics, Jerusalem College of Technology, Havaad Haleumi Street, 21, Jerusalem, 91160, Israel

    Ivy Kidron

  11. IREM de REIMS, UFR Sciences Exactes et Naturelles, Moulin de la Housse, 1039, 51687, Reims Cedex 2, France

    Agnès Corblin-Lenfant

  12. TU Dortmund University, D-44227, Dortmund, Germany

    Alexander Meyer

  13. Dipartimento di Filosofia e Scienze dell’educazione, Università di Torino, Via Gaudenzio Ferrari, 9/11, 10124, Torino, Italy

    Cristina Sabena

  14. Fachbereich 3 for Mathematics and Information Technology, University of Bremen, Bibliothekstrasse 1, D-28359, Bremen, Germany

    Ingolf Schäfer

Authors
  1. Angelika Bikner-Ahsbahs
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  2. Susanne Prediger
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  3. Michèle Artigue
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  4. Ferdinando Arzarello
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  5. Marianna Bosch
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  6. Tommy Dreyfus
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  7. Josep Gascón
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  8. Stefan Halverscheid
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  9. Mariam Haspekian
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  10. Ivy Kidron
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  11. Agnès Corblin-Lenfant
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  12. Alexander Meyer
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  13. Cristina Sabena
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  14. Ingolf Schäfer
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Corresponding author

Correspondence to Angelika Bikner-Ahsbahs .

Editor information

Editors and Affiliations

  1. Fachbereich 03 für Mathematik und Informatik, AG Didaktik der Mathematik, University of Bremen, Bremen, Germany

    Angelika Bikner-Ahsbahs

  2. Institute for Development and Research in Mathematics Education, TU Dortmund University, Dortmund, Germany

    Susanne Prediger

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Bikner-Ahsbahs, A. et al. (2014). Starting Points for Dealing with the Diversity of Theories. In: Bikner-Ahsbahs, A., Prediger, S. (eds) Networking of Theories as a Research Practice in Mathematics Education. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-05389-9_1

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