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Establishing appropriate conditions: students learning to apply a theorem

Scataglini-Belghitar, Giovanna and Mason, John (2012). Establishing appropriate conditions: students learning to apply a theorem. International Journal of Science and Mathematics Education, 10(4) pp. 927–953.

DOI (Digital Object Identifier) Link: https://doi.org/10.1007/s10763-011-9305-0
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Abstract

During a sequence of tutorials conducted by the first author, it became evident that students were not seeing how to apply the theorem concerning a continuous function on a closed and bounded interval attaining its extreme values in situations in which it is necessary first to construct the closed and bounded interval by reasoning about properties concerning asymptotes. The paper describes 1 tutorial with 10 students and a follow-up revision session with 2 of the students the same day concerning the use of this theorem in which the tutor used the pedagogic strategy of learner-generated examples. The students’ responses and the tutor’s observations are analysed using constructs of example
spaces, structure of attention and dimensions of possible variation.

Item Type: Journal Item
Copyright Holders: 2011National Science Council, Taiwan
ISSN: 1573-1774
Keywords: appropriate conditions; attention; coming-to-mind; example construction; examples
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 35927
Depositing User: Sara Griffin
Date Deposited: 20 Dec 2012 16:55
Last Modified: 07 Dec 2018 10:12
URI: http://oro.open.ac.uk/id/eprint/35927
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