Overview

"The problems in this book are suggested for evaluating the concepts taught in the intermediate geometry class. The problems are of a highly visual nature and meant to be challenging. The problems are designed to lead to a merging of geometry and art at the middle school level. The problems presented in this book include: Visual problems to determine area of various iterative polygon based shapes Visual representation of solid objects to determine their volume Visual medley of circles, squares, and triangles to determine their relationships Determining properties of angles, triangles, square, and rhombus Visual problems for determining equivalence of geometric properties of polygonal shapes Determination of area of objects using reference objects as basic elements Visual representations of lines and triangles to solve problems based on equations Identifying intersection points for an underlying visual diagram Application of Pythagorean Theorem to problems represented visually Applications of factorization and LCM to problems on area and volume Changes to area of triangles based on various construction techniques Inferences for area or angle measures of unknown elements in constructed diagrams"""

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9781463552367

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Kiran R. Desai received a Ph.D. in Computer Science from Binghamton University, New York, in 1996, specializing in Parallel Processing Interconnection Networks. Even after working in the computer industry for more than a decade, he has an inclination to contribute to mathematics education and problem solving skills. As an elementary student, he discovered a simple way to find the next squared number if he started from squares of increasing numbers. (1, (1+3) = 4, (4+5)= 9, (9+7) = 16, (16+9) = 25, ...). As a high school student he developed the ability to solve the Rubik'sTM cube on his own when it became popular. As a doctoral candidate, he continued to solve various graph and mathematics problems by analysis and using computers. During his Ph.D., he also taught a course on Computer Algorithms. During his graduate studies, he authored and co-authored 10 refereed papers. He believes that developing a love for mathematics and problem solving at an early age helps build a strong foundation for the later years in life.

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