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Challenging Problems in Geometry

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Challenging Problems in Geometry

Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics.
Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most.
Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.

Reprint of the Dale Seymour Publications, Palo Alto, California, 1988 edition.

Bonus Editorial Feature

Alfred S. Posamentier: Math's Champion

Dr. Alfred S. Posamentier, Professor Emeritus of Mathematics Education at New York's City College and, from 1999 to 2009, the Dean of City College's School of Education, has long been a tireless advocate for the importance of mathematics in education. He is the author or co-author of more than 40 mathematics books for teachers, students, and general readers including The Fascinating Fibonacci Numbers (Prometheus, 2007) and Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers (Prometheus, 2009)

His incisive views on aspects of mathematics education may often be encountered in the Letters columns and on the op-ed pages of The New York Times and other newspapers and periodicals. For Dover he provided, with co-author Charles T. Salkind, something very educational and also fun, two long-lived books of problems: Challenging Problems in Geometry and Challenging Problems in Algebra, both on the Dover list since 1996.

Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner’s career in 2009:

"Teachers shouldn't think that textbook exercises provide problem-solving experiences — that's just drill. Genuine problem solving is what Mr. Gardner has been espousing. Genuine problem solving provides a stronger command of mathematics and exhibits its power and beauty. Something sorely lacking in our society."

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Description

Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics.
Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other subjects. Within each topic, the problems are arranged in approximate order of difficulty. Detailed solutions (as well as hints) are provided for all problems, and specific answers for most.
Invaluable as a supplement to a basic geometry textbook, this volume offers both further explorations on specific topics and practice in developing problem-solving techniques.

Reprint of the Dale Seymour Publications, Palo Alto, California, 1988 edition.

Bonus Editorial Feature

Alfred S. Posamentier: Math's Champion

Dr. Alfred S. Posamentier, Professor Emeritus of Mathematics Education at New York's City College and, from 1999 to 2009, the Dean of City College's School of Education, has long been a tireless advocate for the importance of mathematics in education. He is the author or co-author of more than 40 mathematics books for teachers, students, and general readers including The Fascinating Fibonacci Numbers (Prometheus, 2007) and Mathematical Amazements and Surprises: Fascinating Figures and Noteworthy Numbers (Prometheus, 2009)

His incisive views on aspects of mathematics education may often be encountered in the Letters columns and on the op-ed pages of The New York Times and other newspapers and periodicals. For Dover he provided, with co-author Charles T. Salkind, something very educational and also fun, two long-lived books of problems: Challenging Problems in Geometry and Challenging Problems in Algebra, both on the Dover list since 1996.

Why solve problems? Here's an excerpt from a letter Dr. Posamentier sent to The New York Times following an article about Martin Gardner’s career in 2009:

"Teachers shouldn't think that textbook exercises provide problem-solving experiences — that's just drill. Genuine problem solving is what Mr. Gardner has been espousing. Genuine problem solving provides a stronger command of mathematics and exhibits its power and beauty. Something sorely lacking in our society."

geometry textbook;pythagorean theorem;algebra skills;puzzle enthusiasts;school geometry;mathematical games;technical fields;solutions based;school mathematics;magic squares;euclidean geometry;mathematical puzzles;math puzzles;difficulty levels;brain teasers;grade math;advanced math;logic puzzles;solving skills;martin gardner;solving puzzles;math skills;critical thinking;school students;simson;aime;concurrency;9th;integer;binomial;congruence;quadrilateral;algebraic;theorems;arithmetic;problem-solving;geometric;calculus;stanford;appendices;column;contest;exercises;high school mathematics;books on arithmetics;books on technical fields;books on brain teasers;solve puzzles;books on columns;books on grade maths;books on theorems;books on school geometries;books on appendices;books on school mathematics;books on mathematical games;books on advanced maths;books on school students;books on math skills;books on difficulty levels;books on solving puzzles;books on integers;books on mathematical puzzles;books on critical thinkings;books on algebra skills;books on stanford;books on euclidean geometries;books on magic squares;books on calculus;books on simson;books on solving skills;books on exercises;books on congruences;books on martin gardners;books on high school mathematics;books on geometry textbooks;books on math puzzles;solve skills;books on concurrencies;books on logic puzzles;books on contests;books on puzzle enthusiasts
Challenging Problems in Geometry | Dover Publications