Skip to main content

Navigating the Self and Engaging with Others in Constructing Visions of Quality in Mathematics Education Research

  • Chapter
  • First Online:
Designing, Conducting, and Publishing Quality Research in Mathematics Education

Part of the book series: Research in Mathematics Education ((RME))

  • 1106 Accesses

Abstract

Two factors involved in producing quality research in mathematics education are discussed in this chapter: navigating the role of the self and engaging with others. These factors have the potential to motivate patience and persistence in a quest for quality while building from a researcher’s views of others’ ideas rather than being subsumed by them. Efforts to produce quality research in mathematics education require carefully managing evolving perspectives of who you are and who you want to be, all in the context of what you want to know and the ideas of others.

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 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
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

References

  • Baroody, A., Feil, Y., & Johnson, A. (2007). An alternative reconceptualization of procedural and conceptual knowledge. Journal for Research in Mathematics Education, 38, 115–131.

    Google Scholar 

  • Bringuier, J. C. (1980). Conversations with Jean Piaget (B. M. Gulati, Trans.). Chicago, IL: University of Chicago Press.

    Google Scholar 

  • Confrey, J. (1994). A theory of intellectual development. For the Learning of Mathematics, 14(3), 2–8.

    Google Scholar 

  • Confrey, J. (1995). A theory of intellectual development: Part III. For the Learning of Mathematics, 15(2), 36–45.

    Google Scholar 

  • Duckworth, E. (1972). The having of wonderful ideas. Harvard Educational Review, 42, 217–231.

    Article  Google Scholar 

  • GutiĂ©rrez, R. (2008). A “gap-gazing” fetish in mathematics education? Problematizing research on the achievement gap. Journal for Research in Mathematics Education, 39, 357–364.

    Article  Google Scholar 

  • Harkness, S. (2009). Social constructivism and the believing game: A mathematics teacher’s practice and its implications. Educational Studies in Mathematics, 70, 243–258.

    Article  Google Scholar 

  • Kastberg, S., Lishcka, A., & Hillman, S. (2018). Characterizing mathematics teacher educators’ written feedback to prospective teachers. Journal of Mathematics Teacher Education.https://doi.org/10.1007/s10857-018-9414-6

  • Kieren, T. (2000). Dichotomies or binoculars: Reflections on the papers by Steffe and Thompson and by Lerman. Journal for Research in Mathematics Education, 31, 228–233.

    Article  Google Scholar 

  • Kilpatrick, J. (2013). Needed: Critical foxes. In K. Leatham (Ed.), Vital directions for mathematics education research (pp. 173–187). New York, NY: Springer. https://doi.org/10.1007/978-1-4614-6977-3

    Chapter  Google Scholar 

  • Leatham, K. (2015). Observations on citation practices in mathematics education research. Journal for Research in Mathematics Education, 46, 253–269. https://doi.org/10.5951/jresematheduc.46.3.0253

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Lerman, S. (2000). A case of interpretations of social: A response to Steffe and Thompson. Journal for Research in Mathematics Education, 31, 210–227.

    Article  Google Scholar 

  • Lubienski, S. T. (2008). On “gap gazing” in mathematics education: The need for gaps analyses. Journal for Research in Mathematics Education, 39, 350–356.

    Article  Google Scholar 

  • Lubienski, S. T., & GutiĂ©rrez, R. (2008). Bridging the gaps in perspectives on equity in mathematics education. Journal for Research in Mathematics Education, 39, 365–371.

    Article  Google Scholar 

  • Nolan, K. (2007). How should I know? Preservice teachers’ images of knowing (by heart) in mathematics and science. The Netherlands: Sense.

    Book  Google Scholar 

  • Nolan, K. (2010). Playing the field(s) of mathematics education: A teacher educator’s journey into pedagogical and paradoxical possibilities. In M. Walshaw (Ed.), Unpacking pedagogy: New perspectives for mathematics classrooms (pp. 153–173). Charlotte, NC: Information Age.

    Google Scholar 

  • Rodgers, C. (1961). On becoming a person. Boston, MA: Hougton Mifflin.

    Google Scholar 

  • Silver, E., & Keitel-Kreidt, C. (Eds.). (2015). Pursuing excellence in mathematics education: Essays in honor of Jeremy Kilpatrick. Dordrecht, the Netherlands: Springer.

    Google Scholar 

  • Silver, E., & Kilpatrick, J. (1994). E pluribus Unum: Challenges of diversity in the future of mathematics education research. Journal for Research in Mathematics Education, 25, 734–754.

    Article  Google Scholar 

  • Skovsmose, O. (2012). Critical mathematics education: A dialogical journey. In A. Wager & D. Stinson (Eds.), Teaching mathematics for social justice: Conversations with educators (pp. 35–48). Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Star, J. (2005). Reconceptualizing procedural knowledge. Journal for Research in Mathematics Education, 36, 404–411.

    Google Scholar 

  • Star, J. (2007). Foregrounding procedural knowledge. Journal for Research in Mathematics Education, 38, 132–135.

    Google Scholar 

  • Steffe, L., & Thompson, P. (1997). Interaction or Intersubjectivity? A reply to Lerman. Journal for Research in Mathematics Education, 31, 191–209.

    Article  Google Scholar 

  • Thurston, W. (1994). On proof and progress in mathematics. Bulletin of the American Mathematical Society, 30, 161–177.

    Article  Google Scholar 

  • von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and seeing. Washington, DC: Falmer Press.

    Google Scholar 

  • Weissglass, J. (1990). Constructivist listening for empowerment and change. The Educational Forum, 54, 351–370.

    Article  Google Scholar 

  • Wilson, J. W. (2015). Fifty years and counting: Working with Jeremy Kilpatrick. In E. Silver & G. Kaiser (Eds.), Pursuing excellence in mathematics education: Essays in honor of Jeremy Kilpatrick (pp. 3–16). London, England: Springer.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Signe E. Kastberg .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Kastberg, S.E. (2019). Navigating the Self and Engaging with Others in Constructing Visions of Quality in Mathematics Education Research. In: Leatham, K.R. (eds) Designing, Conducting, and Publishing Quality Research in Mathematics Education. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-23505-5_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-23505-5_11

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23504-8

  • Online ISBN: 978-3-030-23505-5

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics