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Teaching Mathematics and its Applications Advance Access originally published online on October 19, 2008
Teaching Mathematics and its Applications 2009 28(1):43-47; doi:10.1093/teamat/hrn020
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© The Author 2008. Published by Oxford University Press on behalf of The Institute of Mathematics and its Applications. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

A study of two-term unit fraction expansions via geometric approach

Yiu-Kwong Man{dagger}

Department of Mathematics, Science, Social Sciences and Technology, The Hong Kong Institute of Education, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong

{dagger}E-mail: ykman{at}ied.edu.hk

Submitted June 2008; accepted October 2008

In this article, we report a study of two-term unit fraction expansions using a geometric approach. It provides us insight on how to find all two-term unit fraction expansions and identify the property of the expansions with smallest maximal denominators, for a given unit fraction. These findings will be useful to lecturers or teachers involved in teaching history of mathematics or elementary number theory.

Yiu-Kwong Man received his MSc and PhD in mathematics from Queen Mary, University of London. His main research interests include computer algebra, mathematical algorithms, history of mathematics and mathematics education.


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