Thursday, September 3, 2009

Welcome to Geometry at Summit High School

Overview:
The Geometry series at Summit High is a highly successful traditional approach to both the teaching and learning of mathematics. This course I will blend classical aspects of geometry with today’s best practices in discourse and discovery of mathematics all through proficiency based learning system. It will offer a variety of challenges for all learning levels from essential to advanced topics. The text in this course is traditional, and students are expected to read carefully each assigned chapter section and its examples. This course will also allow for group centered learning that promotes the intersection of both a rigorous general knowledge of mathematics but also the deep understanding of its practical application. Topics in this course will include the geometry of points, line, planes, triangles, quadrilaterals, circles, 3 dimensional objects and more.


Why Geometry? :
“Geometry in ancient times was recognized as part of everyone's education. Early Greek philosophers asked that no one come to their schools that had not learned the Elements' of Euclid. There were, and still are, many who resisted this kind of education.

Even in 300 BC, geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which is how to follow lines of reasoning, how to say precisely what is intended, and especially how to prove basic concepts by following these lines of reasoning. Taking a course in geometry is beneficial for all students, who will find that learning to reason and prove convincingly is necessary for every profession. It is true that not everyone must prove things, but everyone is exposed to proof. Politicians, advertisers, and many other people try to offer convincing arguments. Anyone who cannot tell a good proof from a bad one may easily be persuaded in the wrong direction. Geometry provides a simplified universe, where points and lines obey believable rules and where conclusions are easily verified. By first studying how to reason in this simplified universe, people can eventually, through practice and experience, learn how to reason in a complicated world.”

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