Peer assessment of mathematical understanding using comparative judgement
It is relatively straightforward to assess procedural knowledge and difficult to assess conceptual understanding in mathematics. One reason is that conceptual understanding is better assessed using open-ended test questions that invite an unpredictable variety of responses that are difficult to mark...
| Main Authors: | , |
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| Format: | Article |
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Göteborgs Universitet
2017
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| Online Access: | https://eprints.nottingham.ac.uk/51858/ |
| _version_ | 1848798590730764288 |
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| author | Jones, Ian Sirl, David |
| author_facet | Jones, Ian Sirl, David |
| author_sort | Jones, Ian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | It is relatively straightforward to assess procedural knowledge and difficult to assess conceptual understanding in mathematics. One reason is that conceptual understanding is better assessed using open-ended test questions that invite an unpredictable variety of responses that are difficult to mark. Recently a technique, called comparative judgement, has been developed that enables the reliable and valid scoring of open-ended tests. We applied this technique to the peer assessment of calculus on a first-year mathematics module. We explored the reliability and criterion validity of the outcomes using psychometric methods and a survey of participants. We report evidence that the assessment activity was reliable and valid, and discuss the strengths and limitations, as well as the practical implications, of our findings. |
| first_indexed | 2025-11-14T20:22:12Z |
| format | Article |
| id | nottingham-51858 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:22:12Z |
| publishDate | 2017 |
| publisher | Göteborgs Universitet |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-518582020-05-04T19:20:33Z https://eprints.nottingham.ac.uk/51858/ Peer assessment of mathematical understanding using comparative judgement Jones, Ian Sirl, David It is relatively straightforward to assess procedural knowledge and difficult to assess conceptual understanding in mathematics. One reason is that conceptual understanding is better assessed using open-ended test questions that invite an unpredictable variety of responses that are difficult to mark. Recently a technique, called comparative judgement, has been developed that enables the reliable and valid scoring of open-ended tests. We applied this technique to the peer assessment of calculus on a first-year mathematics module. We explored the reliability and criterion validity of the outcomes using psychometric methods and a survey of participants. We report evidence that the assessment activity was reliable and valid, and discuss the strengths and limitations, as well as the practical implications, of our findings. Göteborgs Universitet 2017-12-01 Article PeerReviewed Jones, Ian and Sirl, David (2017) Peer assessment of mathematical understanding using comparative judgement. Nordic Studies in Mathematics Education, 22 (4). pp. 147-164. ISSN 1104-2176 |
| spellingShingle | Jones, Ian Sirl, David Peer assessment of mathematical understanding using comparative judgement |
| title | Peer assessment of mathematical understanding using comparative judgement |
| title_full | Peer assessment of mathematical understanding using comparative judgement |
| title_fullStr | Peer assessment of mathematical understanding using comparative judgement |
| title_full_unstemmed | Peer assessment of mathematical understanding using comparative judgement |
| title_short | Peer assessment of mathematical understanding using comparative judgement |
| title_sort | peer assessment of mathematical understanding using comparative judgement |
| url | https://eprints.nottingham.ac.uk/51858/ |