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50 Mathematical Puzzles & Problems
Gilles Cohen, Editor More than a decade's worth of puzzles and problems from the International Championship of Mathematics organized by the Federation Francaise des Jeux Mathematiques have recently been translated into English and published in this three-volume set. These problems from the championship are organized by mathematical themes geometry and symmetry, arithmetic and number theory, logic and algorithmic process for easy adaptation to your mathematics curriculum. Created for all puzzle and game lovers and students, this engaging series of problems relies more on reasoning than knowledge. It will give your students hours of investigative problem solving and will reinforce and integrate the fundamental themes of traditional mathematics with discrete mathematics. Each book of 50 problems is laid out with one problem per page for easy overhead use or distribution. Full solutions are provided. The Green Collection (Grades 6-12) is accessible to many middle school students as well as being worthwhile for high school students. It introduces classic problems like the four-colour map, the division of irregular areas into equal parts, and magic squares and number mazes. The Orange Collection (Grades 9-12) is the intermediate set and will challenge most high school students. Students divide polygons into tilings of congruent shapes; they encounter knots, chains, and networks; they decipher messages and break codes. A few solutions are facilitated with algebra and trigonometry. The Red Collection (Grades 9 College) is the most challenging set, involving distance, vectors, transformations, systems of equations, series, powers, and number theory. Problems are solved with compass and straightedge constructions, trigonometry, the Pythagorean theorem, synthetic division, and a great deal of ingenuity.
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