
Re: Serra's _Discovering Geometry_
Posted:
Apr 11, 1995 6:24 PM


On 6 Apr 1995, Top Hat Salmon wrote: I wonder, as have other posters, if > there is much need for a yearlong geometry course, and I am asking if > anyone out there has ever taught from an integrated curriculum that did > NOT include a seperate Geometry >  > ===================================== > One World > One Operating System ! > ==================================== > For what it's worth: some commments regarding the above. I've always found it rather strange that in the USA, geometry in the high school is restricted to only one year. In South Africa, geometry is taught in alongside algebra, trigonometry and calculus throughout the high school curriculum starting in the Grade 7 with tessellations, enlargements, informal Euclidean and transformations with the first introduction to proof in Grade 9, and then only in the context of explaining why certain interesting surprising results are true (A complete aiomatization is not done). Starting with some local axiomatization in Grade 10 this is extended to a more complete axiomatization in Grades 11 & 12. Trigonmetry is also started in Grade 10 and in Grades 11 and 12 some Analytic Geometry is also done. I certainly don't believe it is a good thing to artificially compartementalize math  I believe students benefit more, learning more meaningfully by seeing the relationships between the different topics within math and how they can crossfertilize each other...

