The problems in this book are suggested for Intermediate Level students in grades 6 and 7. All the problems are presented in a visual manner in order to keep it fun and interesting. The problems presented in this book include: Reinforcing mathematical concepts based on shape and color Mathematics puzzle style problems related to addition-subtraction facts Mathematics puzzle style problems related to multiplication-division facts Partitioning of squared numbers as a summation of series Visual representations for factorization problems Determination of averages based on identifying patterns in a data set Combining distributed multiplication terms to get larger factors Visual representation of least common multiple (LCM) problems Generalization of concept of LCM to the fractions domain Visual problems based on laws of distributivity, associativity, and commutativity Problems related to volume and area based on 2D views of solid objects Visual mathematical problems to improve deduction skills Graph representations for simple and compound interest and their inter-relationship Introduction to equations, right triangles, and intersection of lines Solving algebra number problems represented pictorially
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.