Assessing mathematical problem solving using comparative judgement
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....
| Main Authors: | , , |
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| Format: | Article |
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Springer
2014
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| Online Access: | https://eprints.nottingham.ac.uk/32091/ |
| _version_ | 1848794333471309824 |
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| author | Jones, Ian Swan, Malcolm Pollitt, Alistair |
| author_facet | Jones, Ian Swan, Malcolm Pollitt, Alistair |
| author_sort | Jones, Ian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:14:32Z |
| format | Article |
| id | nottingham-32091 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:14:32Z |
| publishDate | 2014 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-320912020-05-04T20:15:26Z https://eprints.nottingham.ac.uk/32091/ Assessing mathematical problem solving using comparative judgement Jones, Ian Swan, Malcolm Pollitt, Alistair 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. Springer 2014-02 Article PeerReviewed Jones, Ian, Swan, Malcolm and Pollitt, Alistair (2014) Assessing mathematical problem solving using comparative judgement. International Journal of Science and Mathematics Education, 13 (1). pp. 151-177. ISSN 1573-1774 assessment comparative judgement examinations mathematical problem solving reliability validity http://link.springer.com/article/10.1007/s10763-013-9497-6 doi:10.1007/s10763-013-9497-6 doi:10.1007/s10763-013-9497-6 |
| spellingShingle | assessment comparative judgement examinations mathematical problem solving reliability validity Jones, Ian Swan, Malcolm Pollitt, Alistair Assessing mathematical problem solving using comparative judgement |
| title | Assessing mathematical problem solving using comparative judgement |
| title_full | Assessing mathematical problem solving using comparative judgement |
| title_fullStr | Assessing mathematical problem solving using comparative judgement |
| title_full_unstemmed | Assessing mathematical problem solving using comparative judgement |
| title_short | Assessing mathematical problem solving using comparative judgement |
| title_sort | assessing mathematical problem solving using comparative judgement |
| topic | assessment comparative judgement examinations mathematical problem solving reliability validity |
| url | https://eprints.nottingham.ac.uk/32091/ https://eprints.nottingham.ac.uk/32091/ https://eprints.nottingham.ac.uk/32091/ |