EAN: 9783319428628

COMPACT TEXTBOOKS IN MATHEMATICS EXPLORING CL...

In this book the classical Greek construction problems are explored in a didactical  enquiry
based fashion using Interactive Geometry Software (IGS). The book traces the history of these
problems  stating them in modern terminology. By focusing on constructions and the use of IGS
the reader is confronted with the same problems that ancient mathematicians once faced. The
reader can step into the footsteps of Euclid  Viète and Cusanus amongst others and then by
experimenting and discovering geometric relationships far exceed their accomplishments.
Exploring these problems with the neusis-method lets him discover a class of interesting
curves. By experimenting he will gain a deeper understanding of how mathematics is created.
More than 100 exercises guide him through methods which were developed to try and solve the
problems. The exercises are at the level of undergraduate students and only require knowledge
of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for
those students who are thinking of becoming a mathematics teacher and for mathematics teachers.

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