Learning Geometry Through Problem Solving

by Boris Pritsker

408 pages, Hardcover

Published January 28, 2026

About the author

Boris Pritsker was born in Kiev, Ukraine, and studied mathematics at Kiev State Pedagogical University, where he graduated summa cum laude with a degree in Mathematics and Education (the equivalent of a U.S. Bachelor of Science). Pritsker served as a mathematics teacher in two high schools, including a specialized school for gifted and talented students featuring advanced curricula in algebra, geometry, trigonometry, and calculus. During this time, he developed a series of educational seminars exploring classic mathematical problems and advanced topics that extend beyond the standard secondary school curriculum. In algebra and trigonometry, Pritsker examined strategies for solving various types of equations and inequalities, and systems of equations and inequalities. Additionally, he applied non-traditional techniques to an in-depth analysis of Fibonacci numbers. The seminars highlighted several sophisticated topics rarely addressed in mathematical literature. These included utilizing Diophantine equations to identify common or extraneous solutions within trigonometric equations and applying non-traditional techniques to solve multivariable equations. Through his work with the Fibonacci sequence, Pritsker established the necessary and sufficient conditions for a natural number to be identified as a Fibonacci number.
In the realm of geometry, the seminars covered non-trivial construction problems involving inaccessible vertices, as well as Steiner’s and Mascheroni’s challenges—constructions using a straightedge only or a compass only. Along with traditional synthetic techniques, the coursework integrated isometric and homothetic transformation properties. The seminars prompted students to derive alternative proofs for fundamental theorems, such as Fagnano’s Problem, Apollonius’s Theorem, and the Nine-Point Circle. Beyond pure geometry, the coursework examined the relationship between the inversion in a circle and mechanical engineering applications. Additionally, students investigated the intersection of geometry and physics, utilizing Archimedes’ Law of the Lever to discover new geometric properties.
Pritsker also trained school math teams for participation in math competitions; several students from these math teams won the prestigious local and regional math Olympiad contests.

After immigrating to the United States, Pritsker earned an MBA magna cum laude from the Zicklin School of Business at Baruch College, City University of New York. A licensed CPA in New York State, he has spent the past twenty-seven years at CBIZ Inc., a national accounting, insurance, and financial consulting firm, where he rose to the position of Director.

Driven by a lifelong devotion to mathematical research and education, Pritsker has spent years exploring challenging topics in Euclidean geometry, algebra, trigonometry, and pre-calculus. His findings and original problems have been featured in educational journals across the Soviet Union, the United States, Singapore, and Australia.

Pritsker authored internationally acclaimed mathematics books “Geometrical Kaleidoscope”, Dover Publications, 2017, “The Equations World”, Dover Publications, 2019, “Mathematical Labyrinths. Pathfinding”, World Scientific, 2021, "Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions", CRC Press, Taylor & Francis Group, 2023, “Geometrical Kaleidoscope” Second Edition, World Scientific, 2024, and "Learning Geometry Through Problem Solving", World Scientific, 2026. The books have been featured with detailed positive reviews in the Mathematical Association of America and ZBmath web-sites. “Geometrical Kaleidoscope” was assigned a BLL rating and the MAA Basic Library List Committee suggested that undergraduate mathematics libraries consider the book for acquisition. “Mathematical Labyrinths. Pathfinding” was translated into Turkish language and published in 2025 year, “Matematikte Problem Çözme” - Zihin Fırtınaları Ve Sıra Dışı Yolculukl