Dynamic proof of the Wallace-Bolyai-Gerwien theorem

Kin Keung Eric POON; Tak Wah  WONG

Dynamic proof of the Wallace-Bolyai-Gerwien theorem

Kin Keung Eric POON
, Tak Wah WONG

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to conference › Papers

Abstract

Wallace-Bolyai-Gerwien Theorem states that any two simple polygons of equal area can be dissected into a finite number of congruent polygonal pieces. It is difficult for high school students and teachers to understand the proof. By using dynamic mathematics software,such as Geogebra, the authors can give the dynamic proof of the theorem so that students and teachers can understand the essential steps of the proof more easily.

Original language	English
Publication status	Published - Sept 2016
Event	Seventh Nordic GeoGebra Conference - Trondheim, Norway Duration: 23 Sept 2016 → 25 Sept 2016 https://nordic.geogebra.no/conferences/norway-2016

Conference

Conference	Seventh Nordic GeoGebra Conference
Country/Territory	Norway
City	Trondheim
Period	23/09/16 → 25/09/16
Internet address	https://nordic.geogebra.no/conferences/norway-2016

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abstract = "Wallace-Bolyai-Gerwien Theorem states that any two simple polygons of equal area can be dissected into a finite number of congruent polygonal pieces. It is difficult for high school students and teachers to understand the proof. By using dynamic mathematics software,such as Geogebra, the authors can give the dynamic proof of the theorem so that students and teachers can understand the essential steps of the proof more easily.",

author = "POON, \{Kin Keung Eric\} and WONG, \{Tak Wah\}",

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note = "Seventh Nordic GeoGebra Conference ; Conference date: 23-09-2016 Through 25-09-2016",

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T1 - Dynamic proof of the Wallace-Bolyai-Gerwien theorem

AU - POON, Kin Keung Eric

AU - WONG, Tak Wah

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AB - Wallace-Bolyai-Gerwien Theorem states that any two simple polygons of equal area can be dissected into a finite number of congruent polygonal pieces. It is difficult for high school students and teachers to understand the proof. By using dynamic mathematics software,such as Geogebra, the authors can give the dynamic proof of the theorem so that students and teachers can understand the essential steps of the proof more easily.

M3 - Papers

T2 - Seventh Nordic GeoGebra Conference

Y2 - 23 September 2016 through 25 September 2016

ER -

Dynamic proof of the Wallace-Bolyai-Gerwien theorem

Abstract

Conference

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