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Transformational Plane Geometry (Paperback)
Loot Price: R1,860
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Transformational Plane Geometry (Paperback)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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Designed for a one-semester course at the junior undergraduate
level, Transformational Plane Geometry takes a hands-on,
interactive approach to teaching plane geometry. The book is
self-contained, defining basic concepts from linear and abstract
algebra gradually as needed. The text adheres to the National
Council of Teachers of Mathematics Principles and Standards for
School Mathematics and the Common Core State Standards Initiative
Standards for Mathematical Practice. Future teachers will acquire
the skills needed to effectively apply these standards in their
classrooms. Following Felix Klein's Erlangen Program, the book
provides students in pure mathematics and students in teacher
training programs with a concrete visual alternative to Euclid's
purely axiomatic approach to plane geometry. It enables geometrical
visualization in three ways: Key concepts are motivated with
exploratory activities using software specifically designed for
performing geometrical constructions, such as Geometer's Sketchpad.
Each concept is introduced synthetically (without coordinates) and
analytically (with coordinates). Exercises include numerous
geometric constructions that use a reflecting instrument, such as a
MIRA. After reviewing the essential principles of classical
Euclidean geometry, the book covers general transformations of the
plane with particular attention to translations, rotations,
reflections, stretches, and their compositions. The authors apply
these transformations to study congruence, similarity, and symmetry
of plane figures and to classify the isometries and similarities of
the plane.
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