Skip to main content

Improving the Alignment Between Values, Principles and Classroom Realities

  • Chapter
Mathematics Curriculum in School Education

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

Abstract

The curricular reforms described in this book are wide-ranging and are driven by many external factors and value systems. They usually begin with a vision of ‘how things should be’, but as we have seen, their implementation is often a travesty of their aims. In this chapter I begin with a synthesis of the values exhibited in curricula across the world, then go on to analyse the kinds of classroom activity that are implied when these are taken seriously. This process will be illustrated through a specific case—a national consultation in England that attempted to elicit, prioritise and exemplify apparently competing values held by mathematics educators. I argue that the misalignment of the intended and enacted curriculum is at least partly due to the almost universal lack of vivid exemplification in curriculum specifications and consequent reductive interpretations of them by their users. An argument is thus made for a serious systematic design-research effort into the production of beautiful examples that illustrate and effectively communicate our core values to the key educational stakeholders.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
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.

    In England, the current draft national curriculum states that ‘varied and frequent’ practice for fluency will lead to improved conceptual understanding. This paragraph explains why this may not be the case.

  2. 2.

    Although the report of the project was 2008, the analysis presented here is new and previously unpublished.

References

  • Askew, M. (2001). British research into pedagogy. In M. Askew & M. Brown (Eds.), Teaching and learning primary numeracy: policy, practice and effectiveness: a review of British research for the British educational research association in conjunction with the British society for research into learning mathematics. Southwell: BERA.

    Google Scholar 

  • Askew, M., Hodgen, J., Hossain, S., & Bretscher (2010). Values and variables: mathematics education in high-performing countries. London: Nuffield Foundation.

    Google Scholar 

  • Atweh, B., & Seah, W. T. (2008). Theorising values and their study in mathematics education. Paper presented at the AARE 2007 International Educational Research Conference. From http://www.aare.edu.au/07pap/atw07578.pdf.

  • Bell, A. (1993). Some experiments in diagnostic teaching. Educational Studies in Mathematics, 24(1).

    Google Scholar 

  • Bell, A., Swan, M., Crust, R., & Shannon, A. (1993). Awareness of Learning, reflection and transfer in school mathematics (Report of ESRC Project R000-23-2329), Shell Centre for Mathematical Education, University of Nottingham.

    Google Scholar 

  • Bishop, A. J., Seah, W. T., & Chin, C. (2003). Values in mathematics teaching: the hidden persuaders? (2nd ed.). Dordrecht: Kluwer.

    Google Scholar 

  • Burkhardt, H., & Schoenfeld, A. (2003). Improving educational research: toward a more useful, more influential and better-funded enterprise. Educational Researcher, 32(9), 3–14.

    Article  Google Scholar 

  • Cockcroft, W. H. (1982). Mathematics counts. London: HMSO.

    Google Scholar 

  • DfE (2013). Draft programmes of study for KS4 English, maths and science. Available from http://www.education.gov.uk/schools/teachingandlearning/curriculum/nationalcurriculum2014/.

  • DfEE/QCA (1999). Mathematics, the national curriculum for England. London: Department for Education and Employment Qualifications and Curriculum Authority.

    Google Scholar 

  • Guan, Q., & Meng, W. (2007). China’s new national curriculum reform: innovation, challenges and strategies. Frontiers of Education in China, 2(4), 579–604.

    Article  Google Scholar 

  • Halpin (2010). National curriculum reform in China and England: origins, character and comparison. Frontiers of Education in China, 5(2), 258–269.

    Article  Google Scholar 

  • Halstead, J., & Taylor, M. (2000). Learning and teaching about values: a review of recent research. Cambridge Journal of Education, 30(2), 169–202.

    Article  Google Scholar 

  • Kelly, A. (2003). Theme issue: the role of design in educational research. Educational Researcher, 32(1), 3–4.

    Article  Google Scholar 

  • Krathwohl, D. R., Bloom, B. S., & Masia, B. B. (1964). Taxonomy of educational objectives, book 2: affective domain. New York: Longman.

    Google Scholar 

  • Lew, H. C. (2008). Some characteristics in the Korean National Curriculum and its revising process. In Z. Usiskin & E. Willmore (Eds.), Mathematics curriculum in Pacific Rim countries: China, Japan, Korea, Singapore. Charlotte: Information Age Publishing.

    Google Scholar 

  • NCTM (1989). Curriculum and evaluation standards for school mathematics. Reston: National Council of Teachers of Mathematics.

    Google Scholar 

  • NCTM (2000). Principles and standards for school mathematics. Reston: National Council of Teachers of Mathematics.

    Google Scholar 

  • NGA & CCSSO (2010). Common core state standards for mathematics. National Governers Association, Council of Chief State School Officers.

    Google Scholar 

  • QCA (2007). Mathematics: programmes of study for key stage 3 & 4 and attainment targets. In Q. a. C. Authority (Eds.).

    Google Scholar 

  • Raths, L. E., Harmin, M., & Simon, S. B. (1987). Selections from ‘values and teaching’. In J. P. F. Carbone (Ed.), Value theory and education (pp. 198–214). Malabar: Robert E Krieger.

    Google Scholar 

  • Rocard, M. (2007). EUR22845—science education now: a renewed pedagogy for the future of Europe.

    Google Scholar 

  • Schoenfeld, A. (2009). Bridging the cultures of educational research and design. Educational Designer, 1(2). Retrieved from http://www.educationaldesigner.org/ed/volume1/issue2/article5/.

  • Soh, C. K. (2008). An overview of mathematics education in Singapore. In Z. Usiskin & E. Willmore (Eds.), Mathematics curriculum in Pacific Rim countries (pp. 23–36). Charlotte: Information Age Publishing.

    Google Scholar 

  • Stigler, J. W., & Hiebert, J. (1999). The teaching gap (2nd ed.). New York: The Free Press.

    Google Scholar 

  • Stigler, J. W., Gonzales, P., Kawanaka, T., Knoll, S., & Serrano, A. (1999). The TIMSS videotape classroom study: methods and findings from an exploratory research project on eighth-grade mathematics instruction in Germany, Japan, and the United States (NCES 1999-074). Washington: National Center for Education Statistics.

    Google Scholar 

  • Swan, M. (2006). Collaborative learning in mathematics: a challenge to our beliefs and practices. London: National Institute for Advanced and Continuing Education (NIACE) for the National Research and Development Centre for Adult Literacy and Numeracy (NRDC).

    Google Scholar 

  • Swan, M., & Lacey, P. (2008a). Mathematics matters. National Centre for Excellence in Teaching Mathematics.

    Google Scholar 

  • Swan, M., & Lacey, P. (2008b). Mathematics matters—an executive summary. National Centre for Excellence in Teaching Mathematics.

    Google Scholar 

  • Swan, M., & Pead, D. (2008). Reducing road accidents: case study.

    Google Scholar 

  • Swan, M., Clarke, N., Dawson, C., Evans, S., Jobert, M., & Foster, C. (2012). Mathematics assessment project, http://map.mathshell.org/materials/pd.php. Available from http://map.mathshell.org/materials/index.php.

  • van den Akker, J. (2012). How can design research support curriculum development? International Society for Design and Development in Education Conference, Utrecht.

    Google Scholar 

  • van den Akker, J., Graveemeijer, K., McKenney, S., & Nieveen, N. (Eds.) (2006). Educational design research. London: Routledge.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Malcolm Swan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Swan, M. (2014). Improving the Alignment Between Values, Principles and Classroom Realities. In: Li, Y., Lappan, G. (eds) Mathematics Curriculum in School Education. Advances in Mathematics Education. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7560-2_29

Download citation

Publish with us

Policies and ethics