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Communicating Research in Mathematics Education: Theoretical and Ethical Problems

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The Disorder of Mathematics Education

Abstract

Connections between research, policy and practice are often problematic as politicians and practitioners bemoan the irrelevance of research, while researchers complain that their work is misunderstood. In this chapter, the movement of research from the field of research into other fields is understood through the lens of Bernstein’s notion of recontextualisation. Examples are given from a recent project investigating changes in mathematics examinations in England, illustrating how research results may be incorporated into alternative discourses to support pre-existing positions and values. This raises questions for ethical researchers.

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Notes

  1. 1.

    The research discussed in this chapter was undertaken together with Anna Sfard and Sarah Tang. The views expressed here, however, are entirely my own responsibility.

  2. 2.

    Of course, in societies with separation of state, academic and commercial interests, critical research may well gain a voice through publication. This creates opportunities for development of alternative discourses drawing on such research in ways that may compete with official discourses.

  3. 3.

    https://www.gov.uk/government/news/new-randomised-controlled-trials-will-drive-forward-evidence-based-research, Accessed 11 May 2015.

  4. 4.

    Funded by the UK Economic and Social Research Council, reference: ES/1007911/1.

  5. 5.

    Marx , Theses on Feuerbach: “Philosophers have hitherto only interpreted the world in various ways; the point is to change it.”

  6. 6.

    It is of course very possible that Paul Dowling would contest the account of his research that I am presenting here. I am using his research for a new purpose, relating it to my own theoretical perspective and making it serve the interests of the arguments presented in this chapter.

  7. 7.

    “Liberal/progressive” in the sense used by Bernstein (2000) and Lerman and Tsatsaroni (1998).

  8. 8.

    Recursive depth is defined as the maximum number of decompositions that can be performed. Decomposition is possible when a unit of language (clause, phrase, or word) contains a unit of the same or higher rank. In the given examples, square brackets are used to enclose such “rank-shifted” units.

  9. 9.

    The distinction between ritual, mundane and deep contextualization is adapted from Nabayanga (2002).

  10. 10.

    The annual report for 2010–2011 by the government’s school inspection agency Ofsted (2011) stated “this year the fifth of schools serving the most deprived pupils were four times more likely to be found inadequate than the fifth of schools serving the least deprived pupils. Seventy-one per cent of schools serving the least deprived pupils were judged to be good or outstanding this year compared with 48 % of schools serving the most deprived.”

References

  • Bernstein, B. (2000). Pedagogy, symbolic control and identity: Theory, research and critique (revised ed.). Lanham: Rowman and Littlefield.

    Google Scholar 

  • Cooper, B., & Dunne, M. (2000). Assessing children’s mathematical knowledge: Social class, sex and problem solving. Buckingham: Open University Press.

    Google Scholar 

  • DES. (1982). Mathematics Counts: Report of the committee of inquiry into the teaching of mathematics in schools under the chairmanship of Dr W. H. Cockcroft. London: HMSO.

    Google Scholar 

  • DES/WO. (1988). Mathematics in the National Curriculum. London: HMSO.

    Google Scholar 

  • Dowling, P. (1998). The sociology of mathematics education: Mathematical myths/pedagogic texts. London: Falmer.

    Google Scholar 

  • Dowling, P. (2009). Sociology as method: Departures from the forensics of culture, text and knowledge. Rotterdam: Sense Publishers.

    Google Scholar 

  • Draper, H. (1978). Karl Marx’s theory of revolution, Volume II: The politics of social classes. New York: Monthly Review Press.

    Google Scholar 

  • Fisher-Hoch, H., Hughes, S., & Bramley, T. (1997). What makes GCSE examination questions difficult? Outcomes of manipulating difficulty of GCSE questions. Paper presented at the British Educational Research Association Annual Conference, York. Retrieved January 15, 2016, from http://www.cambridgeassessment.org.uk/Images/109646-what-makes-gcse-examination-questions-difficult-outcomes-of-manipulating-difficulty-of-gcse-questions.pdf.

  • Gutstein, E. (2006). Reading and writing the world with mathematics: Towards a pedagogy for social justice. New York, NY: Routledge.

    Google Scholar 

  • Haggarty, L., & Pepin, B. (2002). An investigation of mathematics textbooks and their use in English, French and German classrooms: Who gets an opportunity to learn what? British Educational Research Journal, 28(4), 567–590.

    Article  Google Scholar 

  • Halliday, M. A. K. (1978). Language as social semiotic: The social interpretation of language and meaning. London: Edward Arnold.

    Google Scholar 

  • Halliday, M. A. K. (1993). Some grammatical problems in scientific English. In M. A. K. Halliday & J. R. Martin (Eds.), Writing science: Literacy and discursive power (pp. 69–85). London: Falmer.

    Google Scholar 

  • Halliday, M. A. K. (1998). Things and relations: Regrammaticising experience as technical knowledge. In J. R. Martin & R. Veel (Eds.), Reading science: Critical and functional perspectives on discourse of science (pp. 186–235). London: Routledge.

    Google Scholar 

  • Lerman, S., & Tsatsaroni, A. (1998). Why children fail and what the field of mathematics education can do about it: The role of sociology. In P. Gates (Ed.), Proceedings of the First International Mathematics Education and Society Conference (pp. 26–33). Nottingham: Centre for the Study of Mathematics Education, Nottingham University.

    Google Scholar 

  • Morgan, C. (2014). Understanding practices in mathematics education: Structure and text. Educational Studies in Mathematics, 87(2), 129–143. doi:10.1007/s10649-013-9482-6.

    Article  Google Scholar 

  • Morgan, C., & Sfard, A. (2016). Investigating changes in high-stakes examinations: A discursive approach. Research in Mathematics Education. doi:10.1080/14794802.2016.1176596

  • Morgan, C., Tang, S., & Sfard, A. (2011). Grammatical structure and mathematical activity: Comparing examination questions. Proceedings of the British Society for Research into the Learning of Mathematics, 31(3). Retrieved January 15, 2016, from http://www.bsrlm.org.uk/IPs/ip31-3/BSRLM-IP-31-3-20.pdf.

  • Morgan, C., Tsatsaroni, A., & Lerman, S. (2002). Mathematics teachers’ positions and practices in discourses of assessment. British Journal of Sociology of Education, 23(3), 445–461.

    Article  Google Scholar 

  • Nyabanyaba, T. (2002). Examining examination: The ordinary level (O level) mathematics examination in Lesotho and the impact of recent trends on Basotho students’ epistemological access. Unpublished PhD Thesis, University of the Witwatersrand, Johannesburg, South Africa.

    Google Scholar 

  • Ofsted. (2011). The Annual Report of Her Majesty’s Chief Inspector of Education, Children’s Services and Skills 2010/11. London: HMSO. Retrieved January 15, 2016, from https://www.gov.uk/government/publications/hm-chief-inspector-of-education-childrens-services-and-skills-annual-report-2010-to-2011.

  • Pais, A., & Valero, P. (2014). Whither social theory? Educational Studies in Mathematics, 87(2), 241–248. doi:10.1007/s10649-014-9573-z.

    Article  Google Scholar 

  • Pollitt, A., Hughes, S., Ahmed, A., Fisher-Hoch, H., & Bramley, T. (1998). The effects of structure on the demands in GCSE and A level questions. Cambridge: OCR.

    Google Scholar 

  • QCA. (2006). Review of standards in mathematics: GCSE 1999–2004 and A level 1998–2004. London: Qualifications and Curriculum Authority.

    Google Scholar 

  • Royal Society/JMC Working Group. (1997). Teaching and learning algebra pre-19. London: Royal Society/Joint Mathematical Council.

    Google Scholar 

  • Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Sfard, A. (2009). Disabling numbers: On the secret charm of numberese and why it should be resisted. In L. Black, H. Mendick, & Y. Solomon (Eds.), Mathematics relationships in education: Identities and participation (pp. 9–18). New York: Routledge.

    Google Scholar 

  • Shorrocks-Taylor, D., & Hargreaves, M. (1999). Making it clear: A review of language issues in testing with special reference to the National Curriculum mathematics tests at Key Stage 2. Educational Research, 41(2), 123–136. doi:10.1080/0013188990410201.

    Article  Google Scholar 

  • Skovsmose, O. (1994). Towards a philosophy of critical mathematics education. Dordrecht: Kluwer Academic Publishers.

    Book  Google Scholar 

  • Slavin, R. E. (2002). Evidence-based education policies: Transforming educational practice and research. Educational Researcher, 31(7), 15–21. doi:10.3102/0013189x031007015.

    Article  Google Scholar 

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Morgan, C. (2017). Communicating Research in Mathematics Education: Theoretical and Ethical Problems. In: Straehler-Pohl, H., Bohlmann, N., Pais, A. (eds) The Disorder of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-34006-7_8

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