Skip to main content

Advertisement

Log in

ADAPTING A METHODOLOGY FROM MATHEMATICS EDUCATION RESEARCH TO CHEMISTRY EDUCATION RESEARCH: DOCUMENTING COLLECTIVE ACTIVITY

  • Published:
International Journal of Science and Mathematics Education Aims and scope Submit manuscript

Abstract

In this report, we adapt and extend a methodology for documenting the collective production of meaning in a classroom community. A cornerstone of the methodological approach that we develop is a close examination of classroom discourse. Our efforts to analyze the collective production of meaning by examining classroom interaction are compatible with the relatively recent emphasis in mathematics and science education research that focuses on how communities of learners establish ideas through discourse and inquiry. The methodological approach we take builds on and extends an approach from mathematics education that uses Toulmin’s argumentation model to document and analyze students’ conceptual progress. Our modification introduces a new criterion for empirically demonstrating when particular ways of reasoning become part of the normative practices of the community. An example from an undergraduate course in physical chemistry is used to illustrate the methodology.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Asterhan, C. S. C. & Schwarz, B. B. (2007). The effects of monological and dialogical argumentation on concept learning in evolutionary theory. Journal of Educational Psychology, 99, 626–639.

    Article  Google Scholar 

  • Cobb, P., Stephan, M., McClain, K. & Gravemeijer, K. (2001). Participating in mathematical practices. Journal of the Learning Sciences, 10, 113–163.

    Article  Google Scholar 

  • Cobb, P. & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31, 175–190.

    Google Scholar 

  • Erduran, S., Simon, S. & Osborne, J. (2004). TAPping into argumentation: Developments in the application of Toulmin’s argument pattern for studying science discourse. Science & Education, 88, 915–933.

    Article  Google Scholar 

  • Farrell, J. J., Moog, R. S. & Spencer, J. N. (1999). A guided inquiry chemistry course. Journal of Chemical Education, 76, 570–574.

    Article  Google Scholar 

  • Forman, E. A., Larreamendy-Joerns, J., Stein, M. K. & Brown, C. A. (1998). “You’re going to want to find out which and prove it”: Collective argumentation in a mathematics classroom. Learning and Instruction, 8, 527–548.

    Article  Google Scholar 

  • Hanson, D. M. & Wolfskill, T. (1998). Improving the teaching/learning process in general chemistry. Journal of Chemical Education, 75, 143–147.

    Article  Google Scholar 

  • Hershkowitz, R., Hadas, N., Dreyfus, T. & Schwarz, B. (2007). Abstracting processes, from individuals’ constructing of knowledge to a group’s “shared knowledge”. Mathematics Education Research Journal, 19(2), 41–68.

    Article  Google Scholar 

  • Hogan, K., Nastasi, B. K. & Pressley, M. (1999). Discourse patterns and collaborative scientific reasoning in peer and teacher-guided discussions. Cognition and Instruction, 17, 379–432.

    Article  Google Scholar 

  • Inglis, M., Mejia-Ramos, J. P. & Simpson, A. (2007). Modelling mathematical argumentation: The importance of qualification. Educational Studies in Mathematics, 66, 3–21.

    Article  Google Scholar 

  • Krummheuer, G. (1995). The ethnography of argumentation. In P. Cobb & H. Bauersfeld (Eds.), The emergence of mathematical meaning: Interaction in classroom cultures (pp. 229–269). Hillsdale: Erlbaum.

    Google Scholar 

  • Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American Educational Research Journal, 27, 29–63.

    Google Scholar 

  • Lave, J. (1988). Cognition in practice: Mind, mathematics, and culture in everyday life. Boston: Cambridge University Press.

    Book  Google Scholar 

  • Lewis, S. E. & Lewis, J. E. (2005). Departing from lectures: An evaluation of a peer-led guided inquiry alternative. Journal of Chemical Education, 82, 135–139.

    Article  Google Scholar 

  • Nathan, M. & Knuth, E. (2003). A study of whole classroom mathematical discourse and teacher change. Cognition and Instruction, 21, 175–207.

    Article  Google Scholar 

  • Osborne, J. (2010). Arguing to learn science: The role of collaborative, critical discourse. Science, 328, 463–466.

    Article  Google Scholar 

  • Phillips, D. C. (2003). Social aspects of learning. In D. C. Phillips & J. F. Soltis (Eds.), Perspectives on learning (4th ed., pp. 53–66). New York: Teachers College Press.

    Google Scholar 

  • Pierson-Bishop, J. & Whitacre, I. (2010). Intellectual work: The depth of mathematical discourse and its relationship to student learning. In P. Brosnan, D. B. Erchick & L. Flevares (Eds.), Proceedings of the Thirty Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 401–409). Columbus: The Ohio State University.

    Google Scholar 

  • Rasmussen, C., Kwon, O., Allen, K., Marrongelle, K. & Burtch, M. (2006). Capitalizing on advances in mathematics and K-12 mathematics education in undergraduate mathematics: An inquiry-oriented approach to differential equations. Asia Pacific Education Review, 7, 85–93.

    Article  Google Scholar 

  • Rasmussen, C. & Stephan, M. (2008). A methodology for documenting collective activity. In A. E. Kelly & R. Lesh (Eds.), Design research in education (pp. 195–215). Mahwah: Erlbaum.

    Google Scholar 

  • 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 W. M. Roth (Ed.), Mathematical representations at the interface of the body and culture. Charlotte: Information Age Publishing.

    Google Scholar 

  • Rittenhouse, P. (1999). The teacher’s role in mathematical conversation: Stepping in and out. In M. Lampert & M. Blunk (Eds.), Talking mathematics in school: Studies of teaching and learning (pp. 163–189). Cambridge: Cambridge University Press.

    Google Scholar 

  • Sampson, V. & Clark, D. (2009). The impact of collaboration on the outcomes of scientific argumentation. Science & Education, 93, 448–484.

    Article  Google Scholar 

  • Saxe, G. B., Gearhart, M., Shaughnessy, M., Earnest, D., Cremer, S., Sitabkhan, Y., et al (2009). A methodological framework and empirical techniques for studying the travel of ideas in classroom communities. In B. B. Schwarz, T. Dreyfus & R. Hershkowitz (Eds.), Transformation of knowledge through classroom interaction (pp. 203–222). London: Routledge.

    Google Scholar 

  • Sfard, A. (2007). When the rules of discourse change, but nobody tells you: Making sense of mathematics learning from a commognitive standpoint. The Journal of the Learning Sciences, 16, 565–613.

    Article  Google Scholar 

  • Spencer, J. N. (1999). New directions in teaching chemistry. Journal of Chemical Education, 76, 566–569.

    Article  Google Scholar 

  • Spencer, J. N. & Moog, R. S. (2008). The process oriented guided inquiry learning approach to teaching physical chemistry. In M. D. Ellison & T. A. Schoolcraft (Eds.), Advances in teaching physical chemistry (pp. 268–279). Washington, DC: American Chemical Society.

    Google Scholar 

  • Spencer, J. N., Moog, R. S. & Farrell, J. J. (2004). Physical chemistry: Guided inquiry thermodynamics. Boston: Houghton Mifflin Company.

    Google Scholar 

  • Stephan, M. & Rasmussen, C. (2002). Classroom mathematical practices in differential equations. Journal of Mathematical Behavior, 21, 459–490.

    Article  Google Scholar 

  • Toulmin, S. E. (1969). The uses of argument. Cambridge: Cambridge University Press.

    Google Scholar 

  • Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge: Harvard University Press.

    Google Scholar 

  • Weber, K., Maher, C., Powell, A. & Lee, H. S. (2008). Learning opportunities from group discussions: Warrants become the objects of debate. Educational Studies in Mathematics, 68, 247–261.

    Article  Google Scholar 

  • Yackel, E. (2001). Explanation, justification and argumentation in mathematics classrooms. In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th International Conference on the Psychology of Mathematics Education, Vol. 1 (pp. 9–23). Utrecht: IGPME.

    Google Scholar 

  • Zohar, A. & Nemet, F. (2002). Fostering students’ knowledge and argumentation skills through dilemmas in human genetics. Journal of Research in Science Teaching, 39, 35–62.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chris Rasmussen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cole, R., Becker, N., Towns, M. et al. ADAPTING A METHODOLOGY FROM MATHEMATICS EDUCATION RESEARCH TO CHEMISTRY EDUCATION RESEARCH: DOCUMENTING COLLECTIVE ACTIVITY. Int J of Sci and Math Educ 10, 193–211 (2012). https://doi.org/10.1007/s10763-011-9284-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10763-011-9284-1

KEY WORDS

Navigation