Equivalence of Symmetries and Permutations in Rn

Dubinsky et al discuss the ensuing dance between geometric visualization and formal analytic thinking. This dance led to a synthesis, which can be a powerful tool in mathematical understanding. They indicate how this tool helped in their investigation. In addition, they believe that a detailed examp...

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Bibliographic Details
Published in:The Mathematical intelligencer 2017-04, Vol.39 (1), p.53-59
Main Authors: Dubinsky, Ed, Henderson, David, Nosrati, Mona
Format: Article
Language:English
Subjects:
Geometry
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Mathematics education
Numerical and Computational Physics
Simulation
Theoretical
Visualization
Online Access:Get full text
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Summary:Dubinsky et al discuss the ensuing dance between geometric visualization and formal analytic thinking. This dance led to a synthesis, which can be a powerful tool in mathematical understanding. They indicate how this tool helped in their investigation. In addition, they believe that a detailed example, showing how synthesizing analytic thinking and geometric visualization to develop a proof, will be helpful for students who are learning to understand and make proofs.
ISSN:0343-6993
1866-7414
DOI:10.1007/s00283-016-9683-9