Skip to main content

Task Design Potential of Using an Interactive Whiteboard for Implementing Inquiry-Based Learning in Mathematics

  • Chapter
  • First Online:
Digital Technologies in Designing Mathematics Education Tasks

Part of the book series: Mathematics Education in the Digital Era ((MEDE,volume 8))

Abstract

This chapter explores the role and potential of using an Interactive Whiteboard (IWB) for inquiry-based learning. A case study on how a French school teacher uses an interactive whiteboard is presented, illustrating how an IWB expands the milieu (Brousseau in Theory of didactical situations in mathematics. Dordrecht: Kluwer, 1997) of the learning situation and the collective part of the class investigation and suggests a mesogenesis-topogenesis-chronogenesis heuristic for digital pedagogical task design.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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.

    Miller et al. used the abbreviation IAW instead of IWB.

References

  • Artigue, M., & Blomhoj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM Mathematics Education, 45, 797–810.

    Article  Google Scholar 

  • Bachelard, G. (1934). La Formation de L’esprit Scientifique. Retrieved from http://classiques.uqac.ca/classiques/bachelard_gaston/formation_esprit_scientifique/formation_esprit.pdf.

  • Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht: Kluwer.

    Google Scholar 

  • Chevallard, Y. (1989). Le passage de l’arithmétique à l’algèbre dans l’enseignement des mathématiques au collège. Deuxième partie. Perspectives curriculaires: la notion de modélisation Petit x, 19, 43–72.

    Google Scholar 

  • Chevallard, Y. (1992). Fundamental concepts in didactics: Perspectives provided by an anthropological approach. In Recherches en Didactique des Mathématiques, special issue 131–167.

    Google Scholar 

  • Chevallard, Y. (2002a). Organiser l’étude. Structures et fonctions. In J.-L. Dorier, M. Artaud, M. Artigue, R. Berthelot, & R. Floris (Eds.) Actes de la 11 e école d’été de didactique des mathématiques (pp. 3–22). Grenoble: La Pensée Sauvage.

    Google Scholar 

  • Chevallard, Y. (2002b). Les TPE comme problème didactique. In T. Assude, & B. Grugeon Allys (Eds.), Actes du séminaire national de didactique des mathématiques 2001 (pp. 177–188). Paris: IREM de Paris 7 et ARDM.

    Google Scholar 

  • Chevallard, Y. (2006). Steps towards a new epistemology in mathematics education. In Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education (pp. 21–30). Barcellona: Universitat Ramon Llull.

    Google Scholar 

  • Chevallard, Y. (2011). La notion d’ingénierie didactique, un concept à réfonder. Questionnement et éléments de réponse à partir de la TAD. In C. Margolinas, M. Abboud-Blanchard, L. Bueno-Ravel, N. Douek, A. Fluckiger, N. Douek, F. Vandebrouck, & F. Wozniak (Eds.), En amont et en aval des ingénieries didactiques (pp 81–108). Grenoble: La pensée sauvage.

    Google Scholar 

  • Chevallard, Y., & Wozniak, F. (2013). Le calcul proportionnel et le symbole ∝: enquête sur une œuvre mathématique méconnue. In A. Bronner, C. Bulf, C. Castela, J.-P. Georget, M. Larguier, B. Pedemonte, A. Pressiat, & É. Roditi (Eds.), Questions vives en didactique des mathématiques: problèmes de la profession d’enseignant, rôle du langage (pp. 421–446). Grenoble: La pensée sauvage.

    Google Scholar 

  • Herget, W., & Torres-Skoumal, M. (2007). Picture (im)perfect mathematics! In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education: The 14th ICMI study (pp. 379–386). New-York: Springer.

    Chapter  Google Scholar 

  • Ladage, C., & Chevallard, Y. (2011). Enquêter avec l’internet Études pour une didactique de l’enquête. Éducation & Didactique, 5(2), 85–115.

    Article  Google Scholar 

  • Miller, D., Averis, D., Door, V., & Glover, D. (2005). How can the use of an interactive whiteboard enhance the nature of teaching and method in secondary mathematics and modern foreign languages: ICT Research Bursaries. Report proposed to Becta.

    Google Scholar 

  • Miller, D., Glover, D., & Averis, D. (2008). Enabling enhanced mathematics teaching with interactive whiteboards. Final Report for the National Centre for Excellence in the Teaching of Mathematics.

    Google Scholar 

  • Minner, D., Jurist Levy, A., & Century, J. (2010). Inquiry-based science instruction—What is it and does it matter? Results from a research synthesis years 1085 to 2002. Journal of Research in Science Teaching, 47(4), 363–496.

    Article  Google Scholar 

  • Peter-Koop, A. (2004). Fermi problems in primary mathematics classrooms: students’ interactive modelling processes. In I. Putt, R. Faragher, & M. McLean (Eds.), Mathematics education for the third millennium, towards 2010. MERGA 2004 conference proceedings (pp. 454–461). Sydney: Merga, Inc.

    Google Scholar 

  • Smith, F., Hardman, F., & Higgins, S. (2006). The impact of interactive whiteboards on teacher-student interaction in the national literacy and numeracy strategies. British Educational Research Journal, 32(3), 443–457.

    Article  Google Scholar 

  • Swan, M. (2005) Improving learning in mathematics: challenges and strategies. Retrieved from http://www.ncetm.org.uk/files/224/improving_learning_in_mathematicsi.pdf.

  • Wood, R., & Ashfield, J. (2008). The use of the interactive whiteboard for creative teaching and method in literacy and mathematics: a case study. British Journal of Educational Technology, 39(1), 84–96.

    Google Scholar 

  • Wozniak, F. (2012). Des professeurs des écoles face à un problème de modélisation: une question d’équipement praxéologique. Recherches en Didactique des Mathématiques, 32(1), 7–55.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Floriane Wozniak .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Wozniak, F. (2017). Task Design Potential of Using an Interactive Whiteboard for Implementing Inquiry-Based Learning in Mathematics. In: Leung, A., Baccaglini-Frank, A. (eds) Digital Technologies in Designing Mathematics Education Tasks. Mathematics Education in the Digital Era, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-43423-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-43423-0_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-43421-6

  • Online ISBN: 978-3-319-43423-0

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics