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, Viete 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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