Classroom note: Sawtooth functions

Hirst, Keith (2004) Classroom note: Sawtooth functions. International Journal of Mathematical Education in Science and Technology, 35, (5), 122-126. (doi:10.1080/00207390310001615606).


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Using MAPLE enables students to consider many examples which would be very tedious to work out by hand. This applies to graph plotting as well as to algebraic manipulation. The challenge is to use these observations to develop the students' understanding of mathematical concepts. In this note an interesting relationship arising from inverse trigonometric functions is analysed. To understand what is going on students have to develop an understanding of how to deal with inverses where a function is not 1-1, by restricting the domain. The piece of work developed here also provides some interesting exercises in proof by induction.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1080/00207390310001615606
ISSNs: 0020-739X (print)
Related URLs:
Subjects: Q Science > QA Mathematics
L Education > L Education (General)
Divisions : University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29891
Accepted Date and Publication Date:
Date Deposited: 12 May 2006
Last Modified: 31 Mar 2016 11:55

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