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Teaching Mathematics and its Applications Advance Access originally published online on February 17, 2009
Teaching Mathematics and its Applications 2009 28(1):1-9; doi:10.1093/teamat/hrp001
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© The Author 2009. 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

Khayyam with Cabri: experiences of pre-service mathematics teachers with Khayyam's solution of cubic equations in dynamic geometry environment

Adnan Baki

Department of Secondary School Science and Mathematics Education, Karadeniz Technical University, Trabzon, Turkey

Bulent Guven{dagger}

Department of Secondary School Science and Mathematics Education, Karadeniz Technical University, Trabzon, Turkey

{dagger}Email: guvenbulent{at}gmail.com; bguven{at}ktu.edu.tr

Submitted September 2008; accepted January 2009

The study reported in this article deals with the observed actions of Turkish pre-service mathematics teachers in dynamic geometry environment (DGE) as they were learning Khayyam's method for solving cubic equations formed as x3 + ax = b. Having learned the method, modelled it in DGE and verified the correctness of the solution, students generated their own methods for solving different types of cubic equations such as x3 + ax2 = b and x3 + a = bx in the light of Khayyam's method. With the presented teaching experiment, students realized that Khayyam's mathematics is different from theirs. We consider that this gave them an opportunity to have an insight about the cultural and social aspects of mathematics. In addition, the teaching experiment showed that dynamic geometry software is an excellent tool for doing mathematics because of their dynamic nature and accurate constructions. And, it can be easily concluded that the history of mathematics is useful resource for enriching mathematics learning environment.

Adnan Baki is a Professor at the School Science and Mathematics Education Department in Karadeniz Technical University, Trabzon, Turkey. He was awarded the degree of MD in mathematics education in 1989 from the University of New Brunswick in Canada. He received a PhD from the Institute of Education of the University of London in 1994. He publishes papers on teaching and learning mathematics.

Bulent Guven is an assistant professor in Secondary School Science and Mathematics Education Department in Karadeniz Technical University, Trabzon, Turkey. He is interested in teaching and learning mathematics with technology, geometry instruction and spherical geometry.


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