Closed but provocative questions: curves enclosing unit area
This article describes a task leading to work on curve sketching, simultaneous equations and integration to find the area enclosed between two curves. An initial closed question is used to confront students with a provocative answer, which they then explore in a much more open-ended way.
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| Format: | Article |
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Taylor & Francis Group
2014
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| Online Access: | https://eprints.nottingham.ac.uk/29529/ |
| _version_ | 1848793804364054528 |
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| author | Foster, Colin |
| author_facet | Foster, Colin |
| author_sort | Foster, Colin |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This article describes a task leading to work on curve sketching, simultaneous equations and integration to find the area enclosed between two curves. An initial closed question is used to confront students with a provocative answer, which they then explore in a much more open-ended way. |
| first_indexed | 2025-11-14T19:06:07Z |
| format | Article |
| id | nottingham-29529 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:06:07Z |
| publishDate | 2014 |
| publisher | Taylor & Francis Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-295292020-05-04T16:58:35Z https://eprints.nottingham.ac.uk/29529/ Closed but provocative questions: curves enclosing unit area Foster, Colin This article describes a task leading to work on curve sketching, simultaneous equations and integration to find the area enclosed between two curves. An initial closed question is used to confront students with a provocative answer, which they then explore in a much more open-ended way. Taylor & Francis Group 2014-12-17 Article PeerReviewed Foster, Colin (2014) Closed but provocative questions: curves enclosing unit area. International Journal of Mathematical Education in Science and Technology, 46 (5). pp. 776-783. ISSN 0020-739X Closed questions; curve sketching; integration; intersecting curves; inverse problems; open questions; provocative questions; quadratic equations; simultaneous equations; working backwards http://www.tandfonline.com/doi/full/10.1080/0020739X.2014.992989#.VcSFyflLZgI doi:10.1080/0020739X.2014.992989 doi:10.1080/0020739X.2014.992989 |
| spellingShingle | Closed questions; curve sketching; integration; intersecting curves; inverse problems; open questions; provocative questions; quadratic equations; simultaneous equations; working backwards Foster, Colin Closed but provocative questions: curves enclosing unit area |
| title | Closed but provocative questions: curves enclosing unit area |
| title_full | Closed but provocative questions: curves enclosing unit area |
| title_fullStr | Closed but provocative questions: curves enclosing unit area |
| title_full_unstemmed | Closed but provocative questions: curves enclosing unit area |
| title_short | Closed but provocative questions: curves enclosing unit area |
| title_sort | closed but provocative questions: curves enclosing unit area |
| topic | Closed questions; curve sketching; integration; intersecting curves; inverse problems; open questions; provocative questions; quadratic equations; simultaneous equations; working backwards |
| url | https://eprints.nottingham.ac.uk/29529/ https://eprints.nottingham.ac.uk/29529/ https://eprints.nottingham.ac.uk/29529/ |