Skip to main content

Meta-didactical Transposition

  • Reference work entry
  • First Online:
Encyclopedia of Mathematics Education

Definition

Meta-Didactical Transposition is a theoretical framework used to describe mathematics teachers’ professional development as a process, comprising a number of variables and their possible changes over time. It was first introduced in Italy at the National Seminar in Didactics of Mathematics (http://www.seminariodidama.unito.it/mat12.php) and then more widely for the international community (Arzarello et al. 2014). It is based on Chevallard’s Anthropological Theory of Didactics (Chevallard 1985 and Chevallard, this Encyclopedia) and the framework takes into account the relationships and reciprocal influences of two communities – the community of teachers and that of researchers, involved in professional development – with respect to their professional practices.

Meta-Didactical Transposition involves these intertwined features:

  1. 1.

    Institutional aspects

  2. 2.

    Meta-didactical praxeologies

  3. 3.

    The dynamics between internal and external components

  4. 4.

    The role of the broker

  5. 5.

    Double...

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 499.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 699.99
Price excludes VAT (USA)
  • Durable hardcover 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

Notes

  1. 1.

    http://www.seminariodidama.unito.it/mat12.php

  2. 2.

    http://mediarepository.indire.it/iko/uploads/allegati/M7PWITOE.pdf

  3. 3.

    http://www.dipmatematica.unito.it/do/home.pl/View?doc=pls.html

  4. 4.

    http://www.difima.unito.it/mooc

References

  • Aldon G, Arzarello F, Cusi A, Garuti R, Martignone F, Robutti O, Sabena C, Soury-Lavergne S (2013) The meta-didactical transposition: a model for analysing teachers’ education programmes. In: Lindmeier AM, Heinze A (eds) Proceedings of the 37th conference of the international group for the psychology of mathematics education, 1. PME, Kiel, pp 97–124

    Google Scholar 

  • Arzarello F, Bartolini Bussi MG (1998) Italian trends in research in mathematics education: a national case study in the international perspective. In: Kilpatrick J, Sierpinska A (eds) Mathematics education as a research domain: a search for identity. Kluwer, Dordrecht, pp 243–262

    Google Scholar 

  • Arzarello F, Cusi A, Garuti R, Malara N, Martignone F, Robutti O, Sabena C (2014) Meta-didactical transposition: a theoretical model for teacher education programmes. In: Clark-Wilson A, Robutti O, Sinclair N (eds) The mathematics teacher in the digital era: an international perspective on technology focused professional development. Springer, Dordrecht, pp 347–372

    Chapter  Google Scholar 

  • Ball DL, Bass H (2003) Making mathematics reasonable in school. In: Kilpatrick J, Martin WG, Schifter D (eds) A research companion to principles and standards for school mathematics. National Council of Teachers of Mathematics, Reston, pp 27–44

    Google Scholar 

  • Bowker GC, Star SL (1999) Sorting things out: classification and its consequences. MIT Press, Cambridge, MA

    Google Scholar 

  • Chevallard Y (1985) La transposition didactique. La Pensée Sauvage, Grenoble

    Google Scholar 

  • Clark D, Hollingworth H (2002) Elaborating a model of teacher professional growth. Teach Teach Educ 18:947–967

    Article  Google Scholar 

  • Clark-Wilson A, Aldon G, Cusi A, Goos M, Haspekian M, Robutti O, Thomas M (2014) The challenges of teaching mathematics with digital technologies – the evolving role of the teacher. In: Liljedahl P, Nicol C, Oesterle S, Allan D (eds) Proceedings of the 38th conference of the international group for the psychology of mathematics education and 36th conference of the north American chapter of the psychology of mathematics education 1. PME, Vancouver, pp 87–116

    Google Scholar 

  • Jaworski B (2008) Mathematics teacher educator learning and development: an introduction. In: Jaworski B, Wood T (eds) International handbook of mathematics teacher education 4. Sense, Rotterdam, pp 1–13

    Google Scholar 

  • Prodromou T, Robutti O, Panero M (2017) Making sense out of the emerging complexity inherent in professional development. Math Educ Res J. https://slideheaven.com/making-sense-out-of-the-emerging-complexity-inherent-in-professional-development.html

  • Rasmussen C, Zandieh M, Wawro M (2009) How do you know which way the arrows go? The emergence and brokering of a classroom mathematics practice. In: Roth WM (ed) Mathematical representations at the interface of the body and culture. Information Age Publishing, Charlotte, pp 171–218

    Google Scholar 

  • Robutti O (2015) Teaching and learning with MERLO: a new challenge for teachers and an opportunity for students. In: CIEAEM67. Quaderni di Ricerca in Didattica, Aosta, pp 51–64, 20–24 July 2015

    Google Scholar 

  • Robutti O, Cusi A, Clark-Wilson A, Jaworski B, Chapman O, Esteley C, Goos M, Isoda M, Joubert M (2016) ICME international survey on teachers working and learning through collaboration: June 2016. ZDM 48:651–690

    Article  Google Scholar 

  • Sullivan P (2008) Knowledge for teaching mathematics: an introduction. In: Sullivan P, Wood T (eds) The international handbook of mathematics teacher education, 1, knowledge and beliefs in mathematics teaching and teaching development. Sense Publisher, Rotterdam, pp 1–12

    Google Scholar 

  • Taranto E, Arzarello F, Robutti O, Alberti V, Labasin S, Gaido S (2017) Analyzing MOOCs in terms of teacher collaboration potential and issues: the Italian experience. In: Proceedings of CERME10, Dublin, Feb 2017

    Google Scholar 

  • Verillon P, Rabardel P (1995) Cognition and artifacts: a contribution to the study of though in relation to instrumented activity. Eur J Psychol Educ 10(1):77

    Article  Google Scholar 

  • Vygotsky LS (1978) Mind in society: the development of higher mental process. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Wenger E (1998) Communities of practice: learning, meaning, and identity. Cambridge University Press, New York

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ornella Robutti .

Editor information

Editors and Affiliations

Section Editor information

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Robutti, O. (2020). Meta-didactical Transposition. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_100012

Download citation

Publish with us

Policies and ethics