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Closed but provocative questions: curves enclosing unit area

Foster, Colin

Authors

Colin Foster



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.

Journal Article Type Article
Publication Date Dec 17, 2014
Journal International Journal of Mathematical Education in Science and Technology
Print ISSN 0020-739X
Electronic ISSN 0020-739X
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 46
Issue 5
APA6 Citation Foster, C. (2014). Closed but provocative questions: curves enclosing unit area. International Journal of Mathematical Education in Science and Technology, 46(5), doi:10.1080/0020739X.2014.992989
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
Publisher URL http://www.tandfonline.com/doi/full/10.1080/0020739X.2014.992989#.VcSFyflLZgI
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0
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....014.992989#.VcSFyflLZgI

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Unit area between two curves FINAL.pdf (300 Kb)
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Copyright Statement
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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