Geometry in Problems

Author:   Alexander Shen
Publisher:   American Mathematical Society
ISBN:  

9781470419219


Pages:   214
Publication Date:   30 June 2016
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Geometry in Problems


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Full Product Details

Author:   Alexander Shen
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.414kg
ISBN:  

9781470419219


ISBN 10:   1470419211
Pages:   214
Publication Date:   30 June 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Measuring line segments Measuring angles The triangle inequality Congruent figures Triangle congruence tests Isosceles triangles Circle Straightedge and compass constructions Parallel lines Right triangles Parallelograms Rectangle, rhombus, square Graph paper Equilateral triangles Midsegment of a triangle Intercept theorem Trapezoid Simple inequalities Reflection symmetry Central symmetry Angles in a circle Tangents Two circles Circumscribed circle and perpendicular bisectors Inscribed circle (incircle) Bisectors Inscribed and circumscribed quadrilaterals Area The Pythagorean Theorem Similarity Coordinates on a line Coordinates on a plane Common measure Trigonometry Afterword

Reviews

What a joy! Shen's Geometry in Problems is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book . - James Tanton, Mathematician-at-Large, Mathematical Association of America. We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience . - Mark Saul, Director of Competitions, Mathematical Association of America.


What a joy! Shen's Geometry in Problems is a gift to the school teaching world. Beautifully organized by content topic, Shen has collated a vast collection of fresh, innovative, and highly classroom-relevant questions, problems, and challenges sure to enliven the minds and clever thinking of all those studying Euclidean geometry for the first time. This book is a spectacular resource for educators and students alike. Users will not only sharpen their mathematical understanding of specific topics but will also sharpen their problem-solving wits and come to truly own the mathematics explored. Also, Math Circle leaders can draw much inspiration for session ideas from the material presented in this book. - James Tanton, Mathematician-at-Large, Mathematical Association of America. We learn mathematics best by doing mathematics. The author of this book recognizes this principle. He invites the reader to participate in learning plane geometry through carefully chosen problems, with brief explanations leading to much activity. The problems in the book are sometimes deep and subtle: almost everyone can do some of them, and almost no one can do all. The reader comes away with a view of geometry refreshed by experience. - Mark Saul, Director of Competitions, Mathematical Association of America


Author Information

Alexander Shen, Institute of Problems of Information Transmission, Moscow, Russia, and LIRMM CNRS, Universite de Montpellier, France.

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