Skip to main content

Improving the Design and Balance of Mathematical Assessment

  • Chapter
Book cover Investigations into Assessment in Mathematics Education

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

Abstract

In recent years, considerable attention has been paid to improving the range and balance of activities that take place in mathematics classrooms. More emphasis is being given to the tackling of practical, extended tasks, which develop higher order skills such as the ability to formulate a question in mathematical terms, select appropriate techniques, and interpret and communicate mathematical results. These aspects are now widely recognized as important and are described in documents around the world (MSEB, 1989, 1990; NCTM, 1989; CITMS, 1982; DES, 1989; NCC, 1989).

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

  • Assessment of Performance Unit: 1980, Mathematical Development: Secondary Survey Report, no. 1, Her Majesty’s Stationery Office, London.

    Google Scholar 

  • Bell, A., Burkhardt, H. & Swan, M.: 1991, Balanced assessment and the Mathematics Curriculum, Shell Centre for Mathematical Education, University of Nottingham, England.

    Google Scholar 

  • Bell, A., Shiu, C. & Horton, B.: 1981, Evaluating Attainment in Process Aspects of Mathematics, Shell Centre for Mathematical Education, University of Nottingham, England.

    Google Scholar 

  • Brown, M.: 1989, ‘Graded Assessment and Learning Hierarchies in Mathematics — an alternative view’, British Educational Research Journal, 15 (2).

    Google Scholar 

  • California Assessment Program: 1989, A Question of Thinking a First Look at Students’ Performance on Open-ended Questions in Mathematics, California State Department of Education, Sacramento, CA.

    Google Scholar 

  • Committee of Inquiry into the Teaching of Mathematics in Schools: 1982, Mathematics Counts (the Cockcroft Report), Her Majesty’s Stationery Office, London.

    Google Scholar 

  • Department of Education and Science: 1987, National Curriculum, Task Group on Assessment and Testing (TGAT) — A Report, Her Majesty’s Stationery Office,Department of Education and Science and the Welsh Office, London.

    Google Scholar 

  • Graded Assessment in Mathematics: 1989, GAIM Development Pack, Graded Assessment in Mathematics, Macmillan, London.

    Google Scholar 

  • Gipps, C.: 1990, Assessment. A Teacher’s Guide to the Issues. Hodder and Stoughton, London.

    Google Scholar 

  • Mathematical Sciences Education Board: 1989, Everybody counts —a report to the nation on the future of mathematics education, (NRC Mathematical Sciences Education Board), National Academy Press, Washington, DC.

    Google Scholar 

  • Mathematical Sciences Education Board: 1990, Assessment, A Teacher’s Guide to the Issues, Hodder and Stoughton, London.

    Google Scholar 

  • National Curriculum Council: 1989, Mathematics: Non-Statutory Guidance York.

    Google Scholar 

  • National Curriculum Council: 1991, Mathematics Programmes of Study, INSET for Key Stages 3 and 4 York.

    Google Scholar 

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

    Google Scholar 

  • Northern Examining Association: 1990, Mathematics Through Problem Solving. A GCSE Syllabus, Manchester.

    Google Scholar 

  • Noss, R., Goldstein, H. & Hoyles, C.: 1989, ‘Graded Assessment and Learning Hierarchies in Mathematics’, British Educational Research Journal, 15 (2).

    Google Scholar 

  • Swan, M., Binns, B. & Gillespie, T.: 1987–89, Numeracy Through Problem Solving Five modules: Design a Board Game, Produce a Quiz Show, Plan a Trip, Be a Paper Engineer, Be a Shrewd Chooser, Shell Centre for Mathematical Education/Joint Matriculation Board, Longman, Harlow.

    Google Scholar 

  • Swan, M., Gillespie, T. & Binns, B.: 1988, ‘The assessment of numeracy through problem solving’, in Pegg, J. (Ed.), Mathematical Interfaces — Proceedings of the Australian Association of Mathematics Teachers Conference.

    Google Scholar 

  • Swan, M. (Ed.): 1984, Problems with Patterns and Numbers, an examination module for secondary schools, Shell Centre for Mathematical Education/Joint Matriculation Board, Manchester.

    Google Scholar 

  • Swan, M.: 1985, The Language of Functions and Graphs, An Examination Module for Secondary Schools, Shell Centre for Mathematical Education/Joint Matriculation Board, Manchester.

    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

Swan, M. (1993). Improving the Design and Balance of Mathematical Assessment. 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_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1974-2_13

  • 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