Teaching Mathematics and its Applications Advance Access originally published online on October 5, 2006
Teaching Mathematics and its Applications 2007 26(2):89-94; doi:10.1093/teamat/hrl014
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On the distance between a teacher and a class
David Nelson, Coiltie House, Divach, Drumnadrochit, Inverness IV63 6XW, UK. E-mail: r.d.nelson{at}manchester.ac.uk
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The main aim of this article is to explore models of a teacher addressing a class sitting in a rectangular classroom or lecture theatre and derive central measures of the distance between the teacher and the class or between a lecturer and an audience. This involves an interesting range of mathematics and two metrics. A secondary aim is to discuss according to several criteria the optimization of the position chosen by a teacher when addressing a class. Thus, in this article, mathematics is applied to its teaching.
Received May 2006. Accepted August 2006.