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Procedural and conceptual aspects of standard algorithms in calculus

Ali, Maselan and Tall, David (1996) Procedural and conceptual aspects of standard algorithms in calculus. In: Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (PME 20), 8-12 July 1996, Valencia, Spain.

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Abstract

This research studies the different methods students use to carry out algorithms for differentiation and integration. Following Krutetskii, it might be conjectured that the higher attainers produce curtailed solutions giving the answer in a smaller number of steps. However, in the population studied (Malaysian students in the 50th to 90th percentile), some higher attaining students wrote out solutions in great detail, so little correlation was found between the attainment of students and the number of steps taken. On the other hand, the higher attainers had less fragile knowledge structures and were significantly more likely to succeed. But with problems that can be simplified by a non-algorithmic manipulation before using a standard algorithm, the higher attainers were more likely to use some form of conceptual preparation.

Item Type: Conference or Workshop Item (Paper)
Subjects: T Technology > T Technology (General)
Divisions: Faculty of Applied Science and Technology > Department of Mathematics and Statistic
Depositing User: Normajihan Abd. Rahman
Date Deposited: 13 Aug 2018 03:39
Last Modified: 13 Aug 2018 03:39
URI: http://eprints.uthm.edu.my/id/eprint/8203
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