Geometrical theorems about conservation of area for use in classroom activities

Moshe Stupel; Shula Weissman; Idan Tal

doi:10.1017/mag.2021.8

Geometrical theorems about conservation of area for use in classroom activities

Moshe Stupel, Shula Weissman, Idan Tal

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	61-69
Number of pages	9
Journal	Mathematical Gazette
Volume	105
Issue number	562
DOIs	https://doi.org/10.1017/mag.2021.8
State	Published - Mar 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 The Mathematical Association.

ASJC Scopus subject areas

General Mathematics

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10.1017/mag.2021.8

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abstract = "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.",

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AU - Tal, Idan

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AB - 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.

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Geometrical theorems about conservation of area for use in classroom activities

Abstract

Bibliographical note

ASJC Scopus subject areas

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