Group theory for school mathematics

1962 ◽  
Vol 55 (2) ◽  
pp. 98-105
Author(s):  
Richard A. Dean
Keyword(s):  
Group Theory ◽  
School Mathematics ◽  
Everyday Mathematics

Some examples of groups found in our everyday mathematics and some theorems.

Royaumont’s aftermath in Iceland – Motion geometry, transformations and groups

2020 ◽  
pp. 73-86
Author(s):  
Kristín Bjarnadóttir
Keyword(s):  
Group Theory ◽  
Mathematical Analysis ◽  
School System ◽  
Motion Pictures ◽  
School Mathematics ◽  
Transformation Groups ◽  
Mathematics Textbooks ◽  
Geometric Transformations ◽  
Textbook Series ◽  
Transformation Geometry

In the Meran Program in 1905 and at the Royaumont Seminar in 1959, among the main themes were transformation geometry, including motion geometry, and group theory. Those themes entered some Danish mathematics textbooks and the English School Mathematics Project’s textbook series, both used in Iceland around 1970. One of the arguments for including group theory in school mathematics was that its structure corresponded to structures in the minds of children. Eventually, the emphasis on motion in geometry subordinated the structure of the transformation groups. These ideas proved short-lived in Iceland, they coincided with a great expansion of the school system, students were unaccustomed to studying textbooks in English, available teachers were not receptive, and mathematical analysis was considered neglected. In later applications, geometric transformations have become the basis of a large industry: animations in motion pictures and games. Keywords: motion geometry, transformation, group theory, School Mathematics Project

Group Theory

2009 ◽  
Author(s):  
Pierre Ramond
Keyword(s):  
Group Theory
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