Art of Problem Solving Introduction to Geometry Set

Art of Problem Solving Introduction to Geometry Set


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Item #: INTGEO
Grades: 7-10

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This is an outstanding math program for the math-gifted student. It is rigorous and oriented to the independent problem-solver. The texts are based on the premise that students learn math best by solving problems - lots of problems - and preferably difficult problems that they don't already know how to solve. Most sections, therefore, begin by presenting problems and letting students intuit solutions BEFORE explaining ways to solve them. Even if they find ways to answer the problems, they should read the rest of the section to see if their answer is correct and if theirs is the best or most efficient way to solve that type of problem. Textual instruction, then, is given in the context of these problems, explaining how to best approach and solve them.

Throughout the text there are also special, blue-shaded boxes highlighting key concepts, important things to retain (like formulas), warnings for potential problem-solving pitfalls, side notes, and bogus solutions (these demonstrate misapplications). There are exercises at the end of most sections to see if the student can apply what's been learned. Review problems at the end of each chapter test understanding for that chapter. If a student has trouble with these, he should go back and re-read the chapter. Each chapter ends with a set of Challenge Problems that go beyond the learned material. Successful completion of these sets demonstrates a high degree of mastery.

A unique feature in this series is the hints section at the back of the book. These are intended to give a little help to selected problems, usually the very difficult ones (marked with stars). In this way, students can get a little push in the right direction, but still have to figure out the solution for themselves. The solution manuals do contain complete solutions and explanations to all the exercises, review problems and challenge problems. It is best for students not to access these until they have made several attempts to solve the problems first. I particularly like one of the motivating boxes in the text that coaches, "If at first you don't know how to solve a problem, don't just stare at it. Experiment!". That pretty much sums up the philosophy of the course, encouraging children to take chances, become aggressive problem solvers, and attack problems with confidence. I wonder how far some children would go if they were encouraged this way instead of being spoon fed?

Though this course is used in classroom settings, the texts are student-directed, making them perfect for the independent learner or homeschooler. Students should start the introductory sequence with the Prealgebra book. Afterwards, begin the Introduction to Algebra. Students will be prepared for both the Introduction to Counting and Probability and Introduction to Number Theory courses after completing the first 11 chapters of Algebra. It won't matter whether they do these along with Algebra, put aside Algebra and complete the other two or finish Algebra first and then do them. All of them should be completed prior to the Introduction to Geometry book. If you are coming into this course from another curriculum, you will probably want to take a placement test to decide where to enter this program. Even if your student has finished Algebra 2 elsewhere, you will want to make sure that all of the material from this series has been covered before continuing on to the Intermediate series.

Taken together, these constitute a complete curriculum for outstanding math students in grades 6-10 and one that prepares them for competitions such as MATHCOUNTS and the American Mathematics Competitions. The material is challenging and in-depth; this is not a course for the mathematically faint of heart. If your child loves math, is genuinely math-gifted, or is interested in participating in math competitions, you definitely need to give this one serious consideration.

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Why did you choose this?
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For my children to study math - supplemenation materials
Usha A on Apr 30, 2021
My son is taking the class
Xia Z on Jan 6, 2021
For my children to study math - supplemenation materials
Usha A on Apr 30, 2021
thank you for your wonderful service
Xiangju L on Jan 19, 2021
My son is taking the class
Xia Z on Jan 6, 2021
Brushing up on math in preparation for upcoming exam.
Ricardo G on Aug 18, 2020
We have loved Art of Problem solving
Bonnie G on Jul 21, 2020
I wanted a rigorous high school geometry program.
Stefani M on Jun 1, 2019
My kid love math.
kabita n on Jan 14, 2019
High Standard.
AMALESH M on Dec 17, 2018
For my son
Saisai H on Sep 16, 2018
for home school use
catherine c on Aug 20, 2018
I am buying this book for my daughter. I heard very good reviews from my friends
Rupali S on Jul 31, 2018
good resource for learning geometry for middle school students
Wei D on Apr 24, 2018
Lowest price for a good book
sri kumar k on Mar 30, 2018
teacher suggested
Yancy x on Mar 9, 2018
cheaper price than Amazon
Jim P on Jan 3, 2018
Excellent content.
Karen T on Nov 8, 2017
Same as above
HYEJONG K on Sep 29, 2017
for kid's learning
Zhimin L on Aug 25, 2017
for kids
kai z on Aug 16, 2017
it is good self study book
Li W on Jun 19, 2017
with fundamental concept, provides intensive problems
Won K on May 5, 2017
Geometry basics should be learnt well with this book
SUJATHA S on Apr 26, 2017
main math curriculum
Chenwen H on Mar 10, 2017
My daughter has used the AOPS Prealgebra and Algebra books. They are very thorough and she would like to continue with the series.
Kirsten N on Feb 16, 2017
Required for a math class
STACY H on Jan 18, 2017
Good price, free shipping and quick delivery! Better than what I can get from Amazon
Zhuo W on Oct 28, 2016
teacher recommended
Yibin Y on Sep 4, 2016
The entire series is a great approach to teaching mathematics!
mary g on Aug 31, 2016
For advanced math students and particularly those who may desire to become an engineer.
Ivey P on Aug 2, 2016
Great price - tutoring students in this GREAT course!
Judy-Ann E on May 24, 2016
There has been a lot of good reviews about this curriculum and I intend to compare it with other geometry books to decide which is best for my up and coming 9th grade students.
Pam S on May 9, 2016
I don't have a good geometry program and wanted to try this one out.
Cynthia H on Jan 8, 2016
good book
Sandra T on Oct 15, 2015
AOPS is the best curriculum fit for my gifted children.
Erin G on Sep 29, 2015
thank you for your wonderful service
Xiangju L on Jan 19, 2021
Brushing up on math in preparation for upcoming exam.
Ricardo G on Aug 18, 2020
5.0 / 5.0
1 Review
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1 Star
Rated 5 out of 5
Excellent for gifted students and/or budding engineers!
This way of learning math is very different! It assumes that you have a keen grasp of the basics such that they completely bore you and you need more! The general approach teaches problem solving and critical thinking by requiring the student to solve problems before they know how to solve the problem. Usually, a math gifted student will find a way to solve the problem, but the curriculum will then teach a method that reduces the time needed to solve the problem, and in doing so, teaches broad solutions that can be applied across the board in mathematical problem solving. If your child is not math gifted, needs to see every detail broken down for them, and/or needs repetition to grasp a subject matter, do not choose AoPS. If your child is math gifted and is begging for something harder, this is it! Buy it fast and don't look back! If you are a parent that needs to test your child every Friday, this is also not the curriculum for you. The solutions manual is very thorough and you'll need to track answers to homework questions and even use their online quizzing system called "Alchemus" to calculate a grade.
September 9, 2016
over 5 years ago

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