Introductory Geometries

Author: Wiley, Dr. Larry

Subjects: Mathematics; Geometry

Age: 12, 13, 14, 15, 16, 17

Grade: 7, 8, 9, 10, 11, 12

Order code: 0654

Price: $20.00

Introductory Geometries Cover

Introductory Geometries offers a fresh approach to geometry for gifted children. It provides a complete treatment of Euclidean geometry using an axiomatic approach based on transformations of the plane.

The book begins with symmetry to help children develop an understanding of the basic transformations needed for the axiomatic treatment of geometry. Initial chapters provide a comprehensive, elementary introduction to those concepts of mathematical structure and structure-preserving transformations that are crucial in any modern approach to mathematics. The book offers an ample overview of the content and importance of the plane geometries of Riemann and Lobachevsky. It includes a brief treatment of the basic ideas of area and volume. The final chapters provide an introduction to all the essential ideas of plane trigonometry. This year-long introduction is full of activities designed to help children enhance their higher-order thinking skills.

This book is a true departure from traditional geometry texts. Instructors who think that an honors geometry course should be more than the standard course made more rigorous should strongly consider using this book.

Click here for the teacher manual that accompanies this student book.

Introductory Geometries offers a fresh approach to geometry for gifted students. It provides a complete treatment of Euclidean geometry using an axiomatic approach based on transformations of the plane. 

The book begins with symmetry to help students develop an understanding of the basic transformations needed for the axiomatic treatment of geometry. Initial chapters provide a comprehensive, elementary introduction to those concepts of mathematical structure and structure-preserving transformations that are crucial in any modern approach to mathematics. The book offers an ample overview of the content and importance of the plane geometries of Riemann and Lobachevsky. It includes a brief treatment of the basic ideas of area and volume. The final chapters provide an introduction to all the essential ideas of plane trigonometry. This year-long introduction is full of activities designed to help students enhance their higher-order thinking skills.

This book is a true departure from traditional geometry texts. Teachers who think that an honors geometry course should be more than the standard course made more rigorous should strongly consider using this book.

Click here for the teacher manual that accompanies this student book.

Introductory Geometries Cover

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