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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.

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

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 0020-739X
Publisher Taylor & 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 http://eprints.nottingham.ac.uk/id/eprint/29529
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.com/doi/full/10.1080/0020739X.2014.992989#.VcSFyflLZgI

Files


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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