Skip to main content

The Development of Inquiry-Based Mathematics Teaching and Learning

  • Chapter
  • First Online:
Mathematicians' Reflections on Teaching

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

  • 284 Accesses

Abstract

This chapter focuses on a long-term development of insights into the teaching and learning of mathematics from personal, professional and research perspectives. Its objectives are to communicate from situations and events that led to these insights and to share theoretical perspectives related to developments in mathematics teaching and learning at different times. The idea of inquiry as a way of being permeates the developmental process, with relationships between participants (students, teachers and researchers) within communities of inquiry and associated critical alignment emerging as central constructs. The chapter uses vignettes from professional and research practice to provide examples that can illuminate development.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
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.

    Enquiry is an alternative spelling of inquiry; inquiry is the more generally used spelling in educational literature.

References

  • Barton, B., Oates, G., Paterson, J., & Thomas, M. (2014). A marriage of continuance: Professional development for mathematics lecturers. Mathematics Education Research Journal, 27(2), 147–164.

    Article  Google Scholar 

  • Bishop, A. J. (1988). Mathematics education in its cultural context. Educational Studies in Mathematics, 19, 179–191.

    Article  Google Scholar 

  • Borasi, R. (1992). Learning mathematics through inquiry. Heinemann.

    Google Scholar 

  • Collins, A. (1988). Different goals of inquiry teaching. Questioning Exchange, 2(1), 39–45.

    Google Scholar 

  • Dewey, J. (1933). How we think. D. C. Heath & Co.

    Google Scholar 

  • Duah, F. (2017). Students as partners and students as change agents in the context of university mathematics. Unpublished PhD thesis, Loughborough University, UK.

    Google Scholar 

  • Duah, F., Croft, T., & Inglis, M. (2014). Can peer assisted learning be effective in undergraduate mathematics? International Journal of Mathematical Education in Science and Technology, 45(4), 552–565.

    Article  Google Scholar 

  • Dreyfus, T. (1991). Advanced mathematical thinking processes. In D. O. Tall (Ed.), Advanced mathematical thinking (pp. 25–41). Kluwer.

    Google Scholar 

  • Elliott, J., & Adelman, C. (1975). The language and logic of informal teaching, in The Ford Teaching Project, Unit 1, Patterns of teaching. University of East Anglia, Centre for applied research in education.

    Google Scholar 

  • Glasersfeld, von E. (1987). Learning as a constructive activity. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics. Lawrence Erlbaum.

    Google Scholar 

  • Goodchild, S. (2008). A quest for ‘good’ research: The mathematics teacher educator as practitioner researcher in a community of inquiry. In B. Jaworski & T. Wood (Eds.), The mathematics teacher educator as a developing professional. Sense Publishers.

    Google Scholar 

  • Hart, K. (Ed.). (1981). Children’s learning of mathematics 11–16. John Murray.

    Google Scholar 

  • HMSO. (1982). Mathematics counts: The Cockcroft report. HMSO.

    Google Scholar 

  • Jaworski, B. (1991). Interpretations of a constructivist philosophy in mathematics teaching. Unpublished PhD thesis, Open University, UK.

    Google Scholar 

  • Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. Falmer Press.

    Google Scholar 

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

    Article  Google Scholar 

  • Jaworski, B. (2006). Theory and practice in mathematics teaching development: Critical inquiry as a mode of learning in teaching. Journal of Mathematics Teacher Education, 9(2), 187–211.

    Article  Google Scholar 

  • Jaworski, B. (2008). Building and sustaining inquiry communities in mathematics teaching development. Teachers and didacticians in collaboration. In K. Krainer (Volume Ed.) & T. Wood (Series Ed.) International handbook of mathematics teacher education: Vol. 3. Participants in Mathematics Teacher Education: Individuals, teams, communities and networks (pp. 309–330). Sense Publishers.

    Google Scholar 

  • Jaworski, B. (2019a). Inquiry-based practice in university mathematics teaching development. In D. Potari & O. Chapman (Eds.), International handbook of mathematics teacher education: Volume 1: Knowledge, beliefs, and identity in mathematics teaching and teaching development (2nd ed., pp. 275–302). Koninklijke Brill NV.

    Google Scholar 

  • Jaworski, B. (2019b). Preparation and professional development of university mathematics teachers. In S. Lerman (Ed.), Encyclopedia of mathematics education. Springer. https://doi.org/10.1007/978-3-319-77487-9_100027-1

    Chapter  Google Scholar 

  • Jaworski, B., & Potari, D. (2009). Bridging the macro-micro divide: Using an activity theory model to capture complexity in mathematics teaching and its development. Educational Studies in Mathematics, 72, 219–236.

    Google Scholar 

  • Jaworski, B., Fuglestad, A.-B., Bjuland, R., Breiteig, T., Grevholm, B., & Goodchild, S. (2007). Learning communities in mathematics. Caspar.

    Google Scholar 

  • Jaworski, B., Treffert-Thomas, S., & Bartsch, T. (2009). Characterising the teaching of university mathematics: A case of linear algebra. In M. Tzekaki, M. Kaldrimidou, & C. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 249–256). PME.

    Google Scholar 

  • Jaworski, B., Treffert-Thomas, S., Hewitt, D., Feeney, M., Shrish-Thapa, D., Conniffe, D., Dar, A., Vlaseros, N., & Anastasakis, M. (2018). Student Partners in Task Design in a computer medium to promote foundation students’ learning of mathematics. In Proceedings of INDRUM: Second conference of the International Network for Didactic Research in University Mathematics (pp. 316–325). University of Agder and INDRUM.

    Google Scholar 

  • Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge University Press.

    Book  Google Scholar 

  • Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm. Journal for Research in Mathematics Education, 27(2), 133–150.

    Article  Google Scholar 

  • Mali, A. (2016). Unpublished PhD thesis, Loughborough University, UK.

    Google Scholar 

  • Nardi, E. (2008). Amongst mathematicians: Teaching and learning mathematics at the university level. Springer.

    Book  Google Scholar 

  • Potari, D., & Jaworski, B. (2002). Tackling Complexity in Mathematics Teacher Development: Using the teaching triad as a tool for reflection and enquiry. Journal of Mathematics Teacher Education, 5(4), 351–380.

    Article  Google Scholar 

  • Schoenfeld, A. H. (2010). How we think. A theory of goal-oriented decision making and its educational applications. Routledge.

    Book  Google Scholar 

  • Solomon, Y., Croft, T., & Lawson, D. (2010). Safety in numbers: Mathematics support centres and their derivatives as social learning spaces. Studies in Higher Education, 35(4), 421–431. ISSN: 0307-5079.

    Article  Google Scholar 

  • Steffe, L. P., & Thompson, P. (2000). Interaction or intersubjectivity? A reply to Lerman. Journal for Research in Mathematics Education, 31(2), 191–209.

    Article  Google Scholar 

  • Stenhouse, L. (1984). Evaluating curriculum evaluation. In C. Adelman (Ed.), The politics and ethics of evaluation. Croom Helm.

    Google Scholar 

  • Thomas, S. (2012). An activity theory analysis of linear algebra teaching within university mathematics. Unpublished doctoral dissertation. Loughborough University, UK.

    Google Scholar 

  • Wells, G. (1999). Dialogic inquiry: Toward a sociocultural practice and theory of education. Cambridge University Press.

    Book  Google Scholar 

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

    Book  Google Scholar 

  • Wertsch, J. V. (1991). Voices of the mind: A sociocultural approach to mediated action. Harvard University Press.

    Google Scholar 

  • Winsløw, C., Gueudet, G., Hochmut, R., & Nardi, E. (2018). Research on university mathematics education. In T. Dreyfus, M. Artigue, D. Potari, S. Prediger, & K. Ruthven (Eds.), Developing research in mathematics education – Twenty years of communication, cooperation and collaboration in Europe (New perspectives on research in mathematics education series) (Vol. 1, pp. 60–74). Routledge.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Barbara Jaworski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Jaworski, B. (2023). The Development of Inquiry-Based Mathematics Teaching and Learning. In: Stewart, S. (eds) Mathematicians' Reflections on Teaching. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-031-34295-0_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-34295-0_9

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34294-3

  • Online ISBN: 978-3-031-34295-0

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics