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.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2014
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| Online Access: | https://eprints.nottingham.ac.uk/27860/ |
| _version_ | 1848793457796055040 |
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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 | 2025-11-14T19:00:36Z |
| format | Article |
| id | nottingham-27860 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:00:36Z |
| publishDate | 2014 |
| publisher | Taylor & Francis Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-278602020-05-08T11:46:07Z https://eprints.nottingham.ac.uk/27860/ 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 2014-11 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/27860/1/Unit%20area%20between%20two%20curves%20FINAL.pdf Foster, Colin (2014) Closed but provocative questions: curves enclosing unit area. International Journal of Mathematical Education in Science and Technology . ISSN 0020-739X (In Press) closed questions; curve sketching; integration; intersecting curves; inverse problems; open questions; provocative questions; quadratic equations; simultaneous equations; working backwards |
| 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/27860/ |