[Download] ➼ Introduction to Geometry By Richard Rusczyk – Snackgo.co.uk

Introduction to Geometry Textbook Pages, Solutions Manual Pages, I thought that this book was really good, and teaching out of it was really fun It did a much better job of holding interest in Geometry for the kids I taught than my Junior High geometry ever did The proofs it had kids do were interesting, and they didn t require any of that 2 column junk I had to learn Just good solid explanations as to why things worked out the way they did.And the book covered a wide variety of Euclidean geometry Barely touched 3 dimensions, but what can we expect This is the best high school geometry curriculum I ve ever come across, and one of the only ones designed specifically for gifted math students Topics are introduced using a discovery approach a problem is posed for the student to attempt on his or her own Next, a solution is provided for clarity In the process, theorems are discovered, which are then immediately used in solving the next problem s , and so on This is exactly the reverse approach that most geometry textbooks take introduci This is the best high school geometry curriculum I ve ever come across, and one of the only ones designed specifically for gifted math students Topics are introduced using a discovery approach a problem is posed for the student to attempt on his or her own Next, a solution is provided for clarity In the process, theorems are discovered, which are then immediately used in solving the next problem s , and so on This is exactly the reverse approach that most geometry textbooks take introducing theorems first, and only then showing why they are true which really takes most of the fun and creativity of geometry out of the learning process The discovery approach wouldn t work unless it were masterfully crafted, and indeed, the sequence of problems is no less than brilliant Use this with your brightest math students and watch their faces light up Geometry is often taught in a memorize the theorems approach and leaves it up to the students to attempt to solve problems usually on the easier spectrum , absolutely not the case here As expected from AoPS, the students are expected to attempt to discover the theorems and problem solving processes themselves using carefully crafted problems which guide the students into doing so This leads a muchdeep understanding of geometric properties and theorems than what would come out of the a Geometry is often taught in a memorize the theorems approach and leaves it up to the students to attempt to solve problems usually on the easier spectrum , absolutely not the case here As expected from AoPS, the students are expected to attempt to discover the theorems and problem solving processes themselves using carefully crafted problems which guide the students into doing so This leads a muchdeep understanding of geometric properties and theorems than what would come out of the average geometry curriculum Simply put the most amazing book on geometry I ve ever come across.P.S AoPS discourages those stupid two column proofs which is an absolute win


About the Author: Richard Rusczyk

Richard Rusczyk is one of the co authors of the Art of Problem Solving textbooks, and author of Art of Problem Solving s Introduction to Algebra and Introduction to Geometry textbooks Intermediate Algebra due to be published in early 2008 He is also one of the co creators of the Mandelbrot Competition, and the Director of the USA Mathematical Talent Search He was a participant in National MATHCOUNTS, a participant in the Math Olympiad Summer Program 1987, 1988 and 1989, the only perfect scorer on the 1989 AIME, and a USA Mathematical Olympiad winner 1989 He graduated first in his major, top 5 in his class, with a BSE from Princeton University in 1993 Richard helped inaugurate ESPN s SportsFigures program, and worked as a bond trader for D.E Shaw Company for four years AoPS marks Richard s return to his vocation educating motivated students.


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