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Teaching Mathematics and its Applications Advance Access published online on April 9, 2007
Teaching Mathematics and its Applications, doi:10.1093/teamat/hrl022
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© The Author 2007. 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
Received June 1, 2006
Accepted November 1, 2006

Original Papers

Geometrical analogies in mathematics lessons

Wolfram Eid *

* To whom correspondence should be addressed.
Wolfram Eid, E-mail: wolfram.eid{at}mathematik.uni-magdeburg.de


  Abstract

A typical form of thinking to approach problem solutions humanly is thinking in analogous structures. Therefore school, especially mathematical lessons should help to form and to develop corresponding heuristic abilities of the pupils. In the contribution, a summary of possibilities of mathematics lessons regarding this shall particularly be conveyed from the view of geometry lessons in different age groups, being supposed to be exemplarily illustrated introducing character and object of making analogies as an example. Different kinds of analogous conclusions are described exemplarily with some examples for different geometrical contents and didactic situations.

Wolfram Eid was born on 19 March 1953 at Zeitz in Germany. He had his regular and grammar schooling through the years 1959-1971 at Zeitz. Then he studied at the Martin-Luther-University Halle from 1971 to 1975 to become a teacher of mathematics and physics. Through the years 1975-1985, he was a teacher in practice. In 1982, he did his doctorate in mathematics and its didactic. From 1985 onwards, he has been working in the department of mathematics, Institute of Algebra and Geometry, Otto-von-Guericke-University Magdeburg, giving lessons to teaching-students and students in other studies, especially lessons about didactic of mathematics, constructive geometry, computer algebra systems and dynamic geometry systems in mathematics in schools.


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