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Assessing mathematical problem solving using comparative judgement

Jones, Ian; Swan, Malcolm; Pollitt, Alistair

Authors

Ian Jones

Malcolm Swan malcolm.swan@nottingham.ac.uk

Alistair Pollitt



Abstract

There is an increasing demand from employers and universities for school leavers to be able to apply their mathematical knowledge to problem solving in varied and unfamiliar contexts. These aspects are however neglected in most examinations of mathematics and, consequentially, in classroom teaching. One barrier to the inclusion of mathematical problem solving in assessment is that the skills involved are difficult to define and assess objectively. We present two studies that test a method called comparative judgement (CJ) that might be well suited to assessing mathematical problem solving. CJ is an alternative to traditional scoring that is based on collective expert judgements of students’ work rather than item-by-item scoring schemes. In Study 1 we used CJ to assess traditional mathematics tests and found it performed validly and reliably. In Study 2 we used CJ to assess mathematical problem-solving tasks and again found it performed validly and reliably. We discuss the implications of the results for further research and the implications of CJ for the design of mathematical problem-solving tasks.

Journal Article Type Article
Publication Date Feb 1, 2014
Journal International Journal of Science and Mathematics Education
Print ISSN 1571-0068
Electronic ISSN 1573-1774
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 13
Issue 1
APA6 Citation Jones, I., Swan, M., & Pollitt, A. (2014). Assessing mathematical problem solving using comparative judgement. International Journal of Science and Mathematics Education, 13(1), doi:10.1007/s10763-013-9497-6
DOI https://doi.org/10.1007/s10763-013-9497-6
Keywords assessment comparative judgement examinations mathematical problem solving reliability validity
Publisher URL http://link.springer.com/article/10.1007/s10763-013-9497-6
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The final publication is available at Springer via http://dx.doi.org/10.1007/s10763-013-9497-6

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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