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Geometrical theorems about conservation of area for use in classroom activities

Published online by Cambridge University Press:  17 February 2021

Moshe Stupel ,
Shula Weissman  and
Idan Tal
Moshe Stupel
Affiliation:
Gordon and Shaanan Academic Colleges, Haifa, Israel
Shula Weissman
Affiliation:
Shaanan Academic College, Haifa, Israel
Idan Tal
Affiliation:
Kibbutzim Academic College of Education, Tel-Aviv, Israel
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Extract

Five geometrical tasks demonstrating the interesting property of conservation of area that may be used in the mathematics classroom are presented. The initial premise is proved and then changes in attributes are investigated using dynamic geometric software to show that in the cases demonstrated there is conservation of area or specific ratios. These demonstrations illuminate the hidden beauty in mathematics and constitute an intellectual stimulus for discovering additional properties.

Type
Articles
Information
The Mathematical Gazette , Volume 105 , Issue 562 , March 2021 , pp. 61 - 69
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Copyright
© The Mathematical Association 2021

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References

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