Skip to main content

Paradigms, Problems and Assessment: Some Ideological Implications

  • Chapter
Investigations into Assessment in Mathematics Education

Part of the book series: New ICMI Study Series ((NISS,volume 2))

Abstract

The current ferment with respect to mathematics assessment involves both substantive issues, i.e., how to assess different components of mathematical activity; and wider issues, i.e., the role and purpose of mathematics assessment within society at large. It is essential in such times to step back in order to evaluate the nature of the wood, as well as attending to the individual trees.

“So my answer to the question ”How do you know? What is the source or basis of your assertion? What observations have led you to it?“ would be: ”I do not know: my assertion was merely a guess. Never mind the source¡ if you are interested in the problem which I tried to solve by my tentative assertion, you may help me by criticizing it as severely as you can“... ” (Karl Popper, 1968)

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
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bates, R.J.: 1984, ‘Educational versus managerial evaluation’, in Broadfoot, P. (Ed.), Selection, certification and control: Social issues in educational assessment, 127–143, Falmer Press, New York.

    Google Scholar 

  • Bishop, A.J.: 1988, Mathematical enculturation, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Bourdieu, P. & Passeron, J.C.: 1977, Reproduction in education, society and culture, Sage Publications, New Gary Park, CA.

    Google Scholar 

  • Carr, W. & Kemmis, S.: 1986, Becoming critical: Education, knowledge, and action research, Falmer Press, New York.

    Google Scholar 

  • Clarke, D.: 1988, Mathematics Curriculum and Teaching Program: Professional Development Package: Assessment Altematives in Mathematics, Curriculum Development Center, Canberra, Australia.

    Google Scholar 

  • Collis, K.F. & Romberg, T.A.: 1990, ‘Assessment of mathematical performance: An nalysis of open-ended test items’, in Wittrock, M.E. (Ed.), Cognition and testing, Lawrence Erlbaum, Hillsdale, NJ.

    Google Scholar 

  • D’Ambrosio, U.: 1985, Socio-Cultural Bases for Mathematics Education, Unicamp Brazil.

    Google Scholar 

  • Foucault, M.: 1977, ‘Language, counter-memory and practice’, in Bouchard, D.F (Ed.), Selected essays and interviews, Cornell University Press, Cornell, NY.

    Google Scholar 

  • Galbraith, P.L. & Clatworthy, N.J.: 1990, ‘Beyond standard models: meeting the challenge of modelling’ Educational Studies in Mathematics, 21 (2), 137–163.

    Article  Google Scholar 

  • Gibson, R.: 1986, Critical theory and education,Hodder & Stoughton.

    Google Scholar 

  • von Glasersfeld, E.: 1987, ‘Learning as a Constructive Activity’, in C. Janvier (Ed.), Problems of Representation in the Teaching and Learning of Mathematics, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Guba, E.G., & Lincoln, Y.S.: 1989, Fourth generation evaluation, Sage Publications, New Gary Park, CA.

    Google Scholar 

  • Habermas, J.: 1971, Knowledge and human interests, Beacon Press, Boston.

    Google Scholar 

  • Hoge, R.D. & Coladarci, T.: 1989, ‘Teacher-based judgements of academic achievement: A review of literature’, Review of Educational Research, 59 (3), 297–313.

    Article  Google Scholar 

  • Howson, A.G. & Mellin-Olsen, S.: 1986, ‘Social norms and external evaluation’, in Christiansen, B., Howson, A.G., Otte, M. & Reidel, D. (Eds.), Perspectives in mathematics education, 1–48, D. Reidel, Dordrecht.

    Chapter  Google Scholar 

  • Kuhn, T.S.: 1962, The structure of scientific revolutions, University of Chicago Press, Chicago, Il.

    Google Scholar 

  • Luna, E.: 1982, Student Achievement in Mathematics for the Benefit of Caribbean Communities and its Reflection in the Curriculum, IACME-UNESCO, O.A.S.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1989, Curriculum and Evaluation Standards for School Mathematics, Reston, VA.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1991, Mathematics Educators Release New Teaching Standards, Reston, VA.

    Google Scholar 

  • Phillips, D.C.: 1987, Philosophy, science, and social inquiry, Pergamon Press, New York

    Google Scholar 

  • Popper, K.: 1968, Conjectures and refutations, Harper and Rowe, New York.

    Google Scholar 

  • Sadler, D.R.: 1987, Specifying and promulgating achievement standards, Oxford Review of Education, 13(2), 191–209.

    Google Scholar 

  • Schoenfeld, A.H. (Ed.): 1987, Cognitive science and mathematics education,Lawrence Erlbaum, Hilsdale, NJ.

    Google Scholar 

  • Skovsmose, 0.: 1985, ‘Mathematical education versus critical education’, Educational Studies in Mathematics, 16, 337–354.

    Article  Google Scholar 

  • Stigler, J.W. & Baranes, R.: 1988, ‘Culture and mathematics learning’, Review of Research in Education, 15 (7), 253–306.

    Google Scholar 

  • Wheatley, G.H.: 1991, ‘Constructivist perspectives on science and mathematics learning’, Science Education, 75(1), 1, 9–22.

    Google Scholar 

  • Wilder, R.L.: 1981, Mathematics as a cultural system, Pergamon Press, Oxford, England.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Galbraith, P. (1993). Paradigms, Problems and Assessment: Some Ideological Implications. In: Niss, M. (eds) Investigations into Assessment in Mathematics Education. New ICMI Study Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1974-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1974-2_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4232-3

  • Online ISBN: 978-94-017-1974-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics