The Forum: What Should Become of the High School Geometry Course?: An Improved Year of Geometry

1972 ◽  
Vol 65 (2) ◽  
pp. 103a-181
Author(s):  
Bruce E. Meserve

Geometry in secondary schools has evolved during the last few years so that the use of coordinates has become respectable and the use of vectors is beginning to gain acceptance. There still remains the basic problem of finding sufficient time to consider the topics from the traditional full year of plane geometry, an introduction to the geometry of three space, an introduction to coordinate methods of proof, and an introduction to vector methods of proof. There are also suggestions that many traditional topics of geometry be jettisoned and that other new approaches to geometry be included.

1993 ◽  
Vol 86 (8) ◽  
pp. 646-651
Author(s):  
Loring Coes

Fractals are a source of puzzlement and wonder, but they also furnish an opportunity to look at some common ideas from uncommon perspectives. Similarity, for example, is at the heart of our thinking about fractals, and it is also a key strand in high school geometry. Fractals offer a strange twist on similarity, however, and give students an opportunity to look at objects that are similar to themselves or that have self-similarity. Coming to grips with the oddities of self-similarity can give students a much deeper insight into the more conventional concepts of similarity in plane geometry.


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