Skip to main content

Building Reference Paradidactic Praxeological Model for Investigating Teachers’ Reflection

  • Conference paper
  • First Online:
Extended Abstracts Spring 2019

Part of the book series: Trends in Mathematics ((RPCRMB,volume 13))

  • 224 Accesses

Abstract

Mathematics teachers’ reflection is an interesting research topic. However, despite the great efforts already made, little is known about the role mathematical knowledge plays in reflection and how teachers’ professional knowledge is developed. This problem seems to lie in the lack of appropriate models to investigate it. To approach this problem, this paper aims to construct a reference model of teachers’ reflection, focusing on interactions between mathematical and didactic knowledge. For this purpose, the notion of paradidactic praxeology has been used. The reference model was built by classifying the genres of paradidactic tasks and considering model of the praxeologies. To check the effectiveness of the model, an exploratory analysis of a student-teachers’ reflection was conducted. As a result, two remarkable paradidactic phenomena were found, showing the potential of the model to investigate teachers’ reflection.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content Knowledge for Teaching. Journal of Teacher Education, 59(5), 389–407.

    Google Scholar 

  • Bosch, M., & Gascón, J. (2006). Twenty-Five Years of the Didactic Transposition. ICMI Bulletin, 58, 51–65.

    Google Scholar 

  • Gascón, J., & Nicolás, P. (2020). What kind of results can be rationally justified in didactics? In M. Bosch, Y. Chevallard, F. J. García, & J. Monaghan (Eds.), Working with the Anthropological Theory of the Didactic in Mathematics Education (pp. 3–11). London: Routledge.

    Google Scholar 

  • Jaworski, B. (1998). Mathematics teacher research: process, practice and the development of teaching. Journal of Mathematics Teacher Education, 1, 3–31.

    Google Scholar 

  • Miyakawa, T., & Winsløw, C. (2013). Developing mathematics teacher knowledge: The paradidactic infrastructure of “open lesson” in Japan. Journal of Mathematics Teacher Education, 16(3), 185–209.

    Google Scholar 

  • Rasmussen, K. (2016). Lesson study in prospective mathematics teacher education: didactic and paradidactic technology in the post-lesson reflection. Journal of Mathematics Teacher Education, 19(4), 301–324.

    Google Scholar 

  • Warwick, P., Vrikki, M., Vermunt, J. D., Mercer, N., & van Halem, N. (2016). Connecting observations of student and teacher learning: an examination of dialogic processes in Lesson Study discussions in mathematics. ZDM - Mathematics Education, 48(4), 555–569.

    Google Scholar 

  • Winsløw, C., Bahn, J., & Rasmussen, K. (2018). Theorizing Lesson Study: Two Related Frameworks and Two Danish Case Studies. In M. Quaresma, C. Winsløw, S. Clivaz, J. da Ponte, A. Ní Shúilleabháin, & A. Takahashi (Eds.), Mathematics Lesson Study Around the World (pp. 123–142). Cham: Springer.

    Google Scholar 

Download references

Acknowledgements

This work was supported by JSPS KAKENHI Grant Number JP19K14242.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ryoto Hakamata .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Hakamata, R. (2021). Building Reference Paradidactic Praxeological Model for Investigating Teachers’ Reflection. In: Barquero, B., Florensa, I., Nicolás, P., Ruiz-Munzón, N. (eds) Extended Abstracts Spring 2019. Trends in Mathematics(), vol 13. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-76413-5_4

Download citation

Publish with us

Policies and ethics