Colin Foster
Closed but provocative questions: curves enclosing unit area
Foster, Colin
Authors
Abstract
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.
Citation
Foster, C. (2014). Closed but provocative questions: curves enclosing unit area. International Journal of Mathematical Education in Science and Technology, 46(5), https://doi.org/10.1080/0020739X.2014.992989
Journal Article Type | Article |
---|---|
Publication Date | Dec 17, 2014 |
Deposit Date | Aug 7, 2015 |
Publicly Available Date | Aug 7, 2015 |
Journal | International Journal of Mathematical Education in Science and Technology |
Print ISSN | 0020-739X |
Electronic ISSN | 1464-5211 |
Publisher | Taylor and Francis |
Peer Reviewed | Peer Reviewed |
Volume | 46 |
Issue | 5 |
DOI | https://doi.org/10.1080/0020739X.2014.992989 |
Keywords | Closed questions; curve sketching; integration; intersecting curves; inverse problems; open questions; provocative questions; quadratic equations; simultaneous equations; working backwards |
Public URL | https://nottingham-repository.worktribe.com/output/740786 |
Publisher URL | http://www.tandfonline.com/doi/full/10.1080/0020739X.2014.992989#.VcSFyflLZgI |
Additional Information | This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Mathematical Education in Science and Technology on 17 December 2014, available online: http://www.tandfonline.com/doi/full/10.1080/0020739X.2014.992989#.VcSFyflLZgI |
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Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0
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