| Abstrakt: |
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. In this article, we consider 35 special properties of a triangle with an angle of 60°. These properties relate to the most different elements of the triangle: sides, angles, area, circumradius and inradius, various singular points of the triangle, and their mutual location. Some of them are quite elementary and can be used in the study of geometry by high school students. Others are more complex and involve concepts outside of the school geometry course (Fermat point, isodynamic point, symmedian, and others). They can be helpful in teaching mathematics teachers at teacher training colleges and universities and can be used for mathematical enrichment and the expansion of the 'toolbox' available to them. [ABSTRACT FROM AUTHOR] |
Full text from SpringerLink