Epistemology and networking theories
详细信息    查看全文
  • 作者:Ivy Kidron
  • 关键词:Cultural dimension ; Epistemological analysis ; Epistemology ; Networking theories ; Social dimension
  • 刊名:Educational Studies in Mathematics
  • 出版年:2016
  • 出版时间:February 2016
  • 年:2016
  • 卷:91
  • 期:2
  • 页码:149-163
  • 全文大小:359 KB
  • 参考文献:Artigue, M. (1990). Épistémologie et didactique. Recherches en Didactique des Mathématiques, 10(23), 241–286.
    Artigue, M. (1995). The role of epistemology in the analysis of teaching/learning relationships in mathematics education. In Y. M. Pothier (Ed.), Proceedings of the 1995 annual meeting of the Canadian Mathematics Education Study Group (pp. 7–21). Ontario: University of Western Ontario.
    Artigue, M. (2010). The future of teaching and learning mathematics with digital technologies. In C. Hoyles & J.-B. Lagrange (Eds.), Mathematics education and technology – Rethinking the terrain. The 17th ICMI Study (pp. 463–476). New York, NY: Springer.
    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.
    Artigue, M., Haspekian, M., & Corblin-Lenfant, A. (2014). An introduction to the theory of didactical situations. In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education (pp. 47–65). New York, NY: Springer.
    Artigue, M., & Mariotti, M. A. (2014). Networking theoretical frames: The ReMath enterprise. In J.-B. Lagrange & C. Kynigos (Eds.), Educational Studies in Mathematics, 85(3), 329–355.
    Bikner-Ahsbahs, A., & Halversheid, S. (2014). An introduction to the theory of interest-dense situations. In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education (pp. 97–113). New York, NY: Springer.
    Bingolbali, E., & Monaghan, J. (2008). Concept image revisited. Educational Studies in Mathematics, 68, 19–35.CrossRef
    Borwein, D., Borwein, J. M., & Straub, A. (2012). A sinc that sank. American Mathematical Monthly, 119(7), 535–549.
    Bosch, M., & Gascón, J. (2014). An introduction to the anthropological theory of the didactic. In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education (pp. 67–83). New York, NY: Springer.
    Brousseau, G. (1997). Theory of didactical situations in mathematics: Didactique des Mathématiques, 1970–1990 (N. Balacheff, M. Cooper, R. Sutherland, & V. Warfield, Ed. & Trans.). Dordrecht: Kluwer.
    Ernest, P. (1999). Forms of knowledge in mathematics and mathematics education: Philosophical and rhetorical perspectives. Educational Studies in Mathematics, 38, 67–83.CrossRef
    Fischbein, E., Tirosh, D., & Hess, P. (1979). The intuition of infinity. Educational Studies in Mathematics, 10, 3–40.CrossRef
    Hershkowitz, R., Schwarz, B., & Dreyfus, T. (2001). Abstraction in context: Epistemic actions. Journal for Research in Mathematics Education, 32(2), 195–222.CrossRef
    Kidron, I. (2008). Abstraction and consolidation of the limit procept by means of instrumented schemes: The complementary role of three different frameworks. Educational Studies in Mathematics, 69(3), 197–216.CrossRef
    Kidron, I. (2014). Teaching and learning calculus. In S. Lerman (Ed.) Encyclopedia of Mathematics Education (pp.69–75). Dordrecht: Springer-Verlag.
    Kidron, I. (2015). Is small, small enough? Students’ understanding the need for the definition of the derivative as a limit. International Journal for Technology in Mathematics Education, 22(1), 31–41.
    Kidron, I., Artigue, M., Bosch, M., Dreyfus, T., & Haspekian, M. (2014). Context, milieu and media-milieus dialectic: A case study on networking of AiC, TDS, and ATD. In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education (pp. 153–177). New York: Springer.
    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.
    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 (pp. 2785–2789). Antalya, Turkey: ERME.
    Kidron, I., Lenfant, A., Artigue, M., Bikner-Ahsbahs, A., & Dreyfus, T. (2008). Toward networking three theoretical approaches: The case of social interactions. Zentralblatt für Didaktik der Mathematik - The International Journal on Mathematics Education, 40(2), 247–264.
    Kidron, I., & Monaghan, J. (2009). Commentary on the chapters on the construction of knowledge. In B. B. Schwarz, T. Dreyfus, & R. Hershkowitz (Eds.), Transformation of knowledge through classroom interaction (pp. 81–90). London, UK: Routledge.
    Lagrange, J.-B., & Kynigos, C. (2014). Digital technologies to teach and learn mathematics: Context and re-contextualization. In J.-B. Lagrange & C. Kynigos (Eds.), Educational Studies in Mathematics, 85(3), 381–403.
    Lester, F. (2005). The place of theory in mathematics education research. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 172–178). Melbourne, Australia: PME.
    Nardi, E. (2006). Mathematicians and conceptual frameworks in mathematics education…or: Why do mathematicians’ eyes glint at the sight of concept image/concept definition? In A. Simpson (Ed.), Retirement as process and concept - A festschrift for Eddie Gray and David Tall (pp. 181–189). Prague, Czech Republic: Charles University.
    Peitgen, H. O., Jürgens, H., & Saupe, D. (1992). Fractals for the classroom, Part 2. New York, NY: Springer.CrossRef
    Radford, L. (1997). On psychology, historical epistemology, and the teaching of mathematics: Towards a socio-cultural history of mathematics. For the Learning of Mathematics, 17(1), 26–33.
    Radford, L. (2008a). Connecting theories in mathematics education: Challenges and possibilities. Zentralblatt für Didaktik der Mathematik - The International Journal on Mathematics Education, 40(2), 317–327.
    Radford, L. (2008b). Culture and cognition: Towards an anthropology of mathematical thinking. In L. English (Ed.), Handbook of International Research in Mathematics Education (2nd ed., pp. 439–464). New York, NY: Routledge, Taylor and Francis.
    Radford, L. (2012). On the cognitive, epistemic, and ontological roles of artifacts. In G. Gueudet, B. Pepin, & L. Trouche (Eds.), From text to ‘lived’ resources (pp. 238–288). New York, NY: Springer.
    Radford, L. (2015). Epistemology as a research category in mathematics teaching and learning. To appear in B.R. Hodgson, A. Kuzniak and J.-B. Lagrange (Eds.), The didactics of mathematics: Approaches and issues. A hommage to Michèle Artigue. New York, NY: Springer.
    Ruiz-Munzón, N., Bosch, M., & Gascón, J. (2013). Comparing approaches through a reference epistemological model: The case of algebra. In B. Ubuz, C. Haser, & M. A. Mariotti (Eds.), Proceedings of the 8th Congress of the European Society for Research in Mathematics Education (pp. 2870–2879). Antalya, Turkey: ERME.
    Schneider, M. (2011). Actes du séminaire national de didactique des mathématiques 2011. “Epistémologie et didactique” (M. Artigue, 1990) : 30 ans après. p. 31–36. IREM de Paris, Association pour la Recherche en Didactique des Mathématiques (ARDM)), Paris.
    Schneider, M. (2013). Epistemological obstacles in mathematics education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 214–217). Dordrecht: Springer-Verlag.
    Schwarz, B. B., Dreyfus, T., & Hershkowitz, R. (2009). The nested epistemic actions model for abstraction in context. In B. B. Schwarz, T. Dreyfus, & R. Hershkowitz (Eds.), Transformation of knowledge through classroom interaction (pp. 11–41). London: Routledge.
    Sierpinska, A. (1985). Obstacles épistémologiques relatifs à la notion de limite [Epistemological obstacles relating to the concept of limit]. Recherches en Didactique des Mathematiques, 6(1), 5–67.
    Sierpinska, A. (1989). Sur un programme de recherche lié à la notion d’obstacle épistémologique. In N. Bednarz & C. Garnier (Eds.), Construction des savoirs (pp. 130–147). Ottawa: Agence d’Arc Inc.
    Sriraman, B., & English, L. (Eds.). (2010). Theories of mathematics education: Seeking new frontiers. Heidelberg: Springer.
    Tall, D. (1992). The transition to advanced mathematical thinking: Functions, limits, infinity and proof. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 495–511). New York, NY: Macmillan.
    Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limit and continuity. Educational Studies in Mathematics, 12, 151–169.CrossRef
  • 作者单位:Ivy Kidron (1)

    1. Department of Applied Mathematics, Jerusalem College of Technology, Havaad Haleumi Str. 21, POB 16031, Jerusalem, 91160, Israel
  • 刊物类别:Humanities, Social Sciences and Law
  • 刊物主题:Education
    Mathematics Education
    Education
  • 出版者:Springer Netherlands
  • ISSN:1573-0816
文摘
A theoretical reflection on epistemology is presented. The important role of epistemological analysis in research in mathematics education is discussed. I analyze the epistemological evolution as a consequence of the changes in the mathematical culture and demonstrate how the epistemological analysis is tightly linked to the cultural dimension. Then I analyze the connection between epistemology and networking of theories. Different meanings of the word “epistemic” are observed as well as the role of epistemology in the networking of theories.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700