Talk:Transformation geometry

Geometry education

I would like to know more about the experiences with transformation geometry in the USA, UK, Germany, France and Russia.

I can tell how it was in Brazil: There were no such experiences. And almost all geometry has been abolished in schools since long time ago, the emphasis being in algebra. Elementary algebra and a bit of analytic geometry (without presenting vectors and transformations, and not even conics) are presented in schools, while calculus, linear algebra and analysis are presented only in universities. Synthetic geometry is not presented in schools, but only in university mathematics courses, and it's only a very basic course for freshmen, just to train them in the axiomatic method by formally proving elementary theorems, while geometric transformations are almost never presented.

It would be nice if this article had a section for each country (unfortunately, I don't have knowledge to make it). Pedro Listel (talk) 14:04, 26 November 2012 (UTC)[reply]

Local decisions shape the study of geometry. As Rafael Artzy expressed in 1965:

With the disappearance of the traditional synthetic geometry courses from college curricula, many planners assumed that the mantle of geometry had passed to the various types of Linear Algebra courses. However, most texts in linear algebra were paying only scant attention to geometry, and the special flavor and aesthetics of linear geometry was hardly ever felt in them. Thus arose the need for independent upper-class undergraduate and beginning graduate geometry programs stressing the strong relationship between algebra and linear geometry without, however, making geometry a mere side issue in algebraic discussions. This book is an attempt to fill the need. (From Preface to Linear Geometry)

Other input on experience with Geometry Education would be appreciated.Rgdboer (talk) 21:18, 7 March 2013 (UTC)[reply]

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