Learning Geometry Through Problem Solving
Hardcover
Series: Problem Solving in Mathematics and Beyond, Book 42
ISBN13: 9789819816705
Publisher: World Scientific Publishing Company
Published: Jan 28 2026
Pages: 408
Weight: 1.57
Height: 0.94 Width: 6.00 Depth: 9.00
Language: English
This new volume focuses on problem-solving in plane geometry topics and is suitable for any reader with elementary geometrical knowledge at the secondary school level. The author has assembled an exceptional collection of geometry exercises with approximately equal weight allocated among different types of problems: proofs, calculations, and geometric straightedge-and-compass constructions.
The book is divided into seven chapters, with sets of problems arranged in approximate order of increasing difficulty. The first chapter is devoted to a discussion of several useful strategies and techniques for approaching geometric problems. The next chapter presents warm-up exercises to stretch geometric muscles and refresh the very basic facts about topics covered in subsequent chapters. Each of the following chapters: Triangles, Quadrilaterals, Circles, and Areas has three sections (A, B, and C), starting with simple problems and questions (section A), progressing to intermediate problems (section B), and ending with more advanced and complex challenges (section C), some of which were offered in math Olympiads and various math contests. The final chapter is a mixture of challenging problems comprising material covered in previous chapters.
At the end of the book, the Solutions and Answers section provides detailed explanations and solutions for all the problems. In that section, for many interesting problems, the author reveals not just one but multiple alternative solutions, compares them, and discusses their effectiveness. The emphasis is on how to acquire insight and develop different strategies for tackling geometrical challenges. By solving these problems, readers discover fascinating links between them, unlock geometrical secrets, build self-confidence, and - for many skeptics - discover that learning geometry can be fun and enjoyable!
Also from
Pritsker, Boris
Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions
Pritsker, Boris
Paperback
Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions
Pritsker, Boris
Hardcover
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
Expolog
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Douady, Stéphane
Golé, Christophe
Dumais, Jacques
Hardcover
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
Quasi-Projective and Formal-Analytic Arithmetic Surfaces
Bost, Jean-Benoît
Charles, François
Hardcover
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
O'Shea, Donal
Cox, David A.
Little, John
Hardcover
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Kuang, Amber
Ma, Allen
Paperback
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Horvath, Joan
Cameron, Rich
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Discrete Nonlinear Schrodinger Equation: Beyond Complete Integrability
Zhang, Guoping
Pankov, Alexander
Hardcover
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
Quasi-Projective and Formal-Analytic Arithmetic Surfaces
Charles, François
Bost, Jean-Benoît
Paperback
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Coloring Books for Adults
Adult Colouring Books
Adult Coloring Books
Paperback
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback
Practical Conic Sections: The Geometric Properties of Ellipses, Parabolas and Hyperbolas
Downs, J. W.
Paperback
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Ramos-Fernández, Julio César
Chaparro Gutiérrez, Héctor Camilo
Castillo, René Erlin
Paperback
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: With Archimedes's Theorems of the Sphere and Cylinder, Investigated by the Met
de Candale, François Foix
Barrow, Isaac
Euclid, Isaac
Paperback
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
Euclide's Elements: The Whole Fifteen Books Compendiously Demonstrated: With Archimedes's Theorems of the Sphere and Cylinder, Investigated by the Met
Euclid, Isaac
de Candale, François Foix
Barrow, Isaac
Hardcover
Kiselev's Geometry - Book I, Planimetry: The Classic Russian Mathematics Textbook
Kiselev, Andrey
Paperback
The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math - And Clever Logic!
Inaba, Naoki
Murakami, Ryoichi
Paperback
