# Reading ➽ Introduction to Geometry Author Richard Rusczyk – Web-info-12.info

Textbook Pages, Solutions Manual Pages, 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 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