Surprise Meeting: Euclidean Algorithm and Geometric Constructions

In this section of Resonance , we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on...

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Veröffentlicht in:Resonance Jg. 27; H. 3; S. 435 - 442
Hauptverfasser: Oxman, Victor, Sigler, Avi
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New Delhi Springer India 01.03.2022
Springer Nature B.V
Schlagworte:
Algorithms
Classroom
Classroom Environment
Education
Geometry
Humanities and Social Sciences
Mathematics Activities
Mathematics education
multidisciplinary
Science
Science Education
Science Instruction
Euclidean algorithm
midpoint of a segment
Geometric constructions using a straightedge only
ISSN:0973-712X, 0971-8044, 0973-712X
Online-Zugang:Volltext
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Zusammenfassung:In this section of Resonance , we invite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. “Classroom” is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science. Mathematics is rife with the usage of some of its concepts in the study of other ones when these concepts belong to its very different branches. The article presents an example of such a surprising meeting—the use of the Euclidean algorithm in geometric constructions with the help of just a straightedge. The article can be used to enrich mathematical activities in high school and by teachers and students of classical geometry in colleges and universities.
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ISSN:0973-712X
0971-8044
0973-712X
DOI:10.1007/s12045-022-1331-4