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Symmetry, Shape, and Space: An Introduction to Mathematics Through Geometry with Lab Manual and Geometer's Sketchpad V5 Set - Hardcover
Synopsis
A hands-on and creative text for exploring geometry
The visual nature of geometry is explored in Symmetry, Shape and Space. It helps readers actively investigate and discover math. Each chapter is written to be independent of the others for course flexibility. By studying and analyzing patterns, learners can use their creativity and visualization skills. The book features activities and examples to encourage the exploration into geometry. It provides writing exercises, drawing and physical modeling to make learning more hands on. The text is written so it can be used by those who have not gone beyond math learning at the high school level. The book begins with the basics of geometry and comes with a lab manual and Geometer's Sketchpad software.
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Review
From the reviews:
"The text is written in an accessible and chatty style ... . There is, however, a very conscious effort to engage the reader in active exploration and discovery, and so every topic is introduced as a practical exercise involving equipment which is readily available in every classroom, and the text is peppered with problems and questions for investigation. ... There are so many good things covered in the text that it is hard to pick out one or two." (Gerry Leversha, The Mathematical Gazette, Vol. 86 (505), 2002)
"This is an excellent book on geometry written at an elementary level. So the starting point of the book are the basics of Euclidean geometry ... . What comes then is a wealth of examples, exercises and results, always stimulating the reader to make his own experiments, drawings, and conjectures. ... The book is full with nicely drawn pictures thus emphasizing the visual aspect of geometry. A final chapter includes hints and solutions to selected problems and a large number of references." (Hans Havlicek, Zentralblatt MATH, Vol. 974, 2001)
From the reviews:
"The text is written in an accessible and chatty style ... . There is, however, a very conscious effort to engage the reader in active exploration and discovery, and so every topic is introduced as a practical exercise involving equipment which is readily available in every classroom, and the text is peppered with problems and questions for investigation. ... There are so many good things covered in the text that it is hard to pick out one or two." (Gerry Leversha, The Mathematical Gazette, Vol. 86 (505), 2002)
"This is an excellent book on geometry written at an elementary level. So the starting point of the book are the basics of Euclidean geometry ... . What comes then is a wealth of examples, exercises and results, always stimulating the reader to make his own experiments, drawings, and conjectures. ... The book is full with nicely drawn pictures thus emphasizing the visual aspect of geometry. A final chapter includes hints and solutions to selected problems and a large number of references." (Hans Havlicek, Zentralblatt MATH, Vol. 974, 2001)
From the Back Cover
Symmetry, shape, and Space is designed to involve students in discovering mathematics. It is appropriate for introduction to mathematics and liberal arts mathematics courses and assumes no mathematics beyond the high school level. Students in many diverse programs will benefit from the authors' use of innovative and engaging pedagogical models. Geometry is the basis of the text because the visual nature of the subject allows students to use their intuition and imagination while developing the ability to think critically. Students study and analyze patterns for themselves, thereby learning and enhancing analytic skills, creativity, and visualization skills. Varied content within the text, activities, and examples leads students into an investigative process and provides the experience of doing and discovering mathematics as mathematicians do. Many of the exercises in the text require students to express their ideas clearly in writing, wile other exercises require drawings or physical models, which help make math a more hands-on experience. The dual geometric and algebraic nature of mathematics is integrated throughout the text.
This text is written so that each chapter is essentially independent of the others, allowing a great deal o flexibility in designing a course. Much of the material in this book is written in such a way that mathematics teachers at the secondary or elementary level can use it for enrichment purposes. Students of art, architecture, and design will enjoy experiencing geometry from a mathematical perspective. Mathematics professionals and educators will find these explorations of nontraditional geometric topics intriguing. Topics include billiards, theoretical origami, tailings, polyhedra, the fourth dimension, optical illusions, soap bubbles, mazes, and topology.Recommended for courses in: Liberal Arts Mathematics, Mathematics Explorations, Mathematics for teaches, Topics in Geometry, Special topics in Mathematics.Also available bundled with The Geometer's Sketchpad Dynamic Geometry software at a special price.
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