Art of Problem Solving
Training Today's Brightest Minds to Solve Tomorrow's Problems
AoPS Online offers educational resources for motivated students in grades 5–12. With our books, classes and other online resources, students develop the skills they need to become successful, creative problem solvers.
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Advanced Math at Your Fingertips
Textbooks for grades 2–12 go far beyond the basics, challenging students to solve unique and interesting problems. Books are suitable as stand-alone curriculum or as supplemental math enrichment.
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Learn From the Best in a Community of Motivated Peers
Online courses taught by some of the world’s most accomplished math teachers. Our alumni include winners of every major math competition, from MATHCOUNTS to the USA Math Olympiad and beyond.
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More Than Just Another Online Class
The AoPS curriculum stretches students to their full potential, while our online school connects eager students with inspiring peers and accomplished instructors. We give many of these students their first taste of a world beyond traditional math. A world filled with challenging, intriguing problems that require creativity and persistence to solve. A world where they have access to impressive mentors and role models. And most importantly, a world filled with inspiring peers who share their love of learning—peers that they often first met in AoPS classes and the AoPS online community.
Our Books
Introductory Series
Complete curriculum covering Prealgebra through Geometry in depth. Suitable for grades 5–10.
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Intermediate & Advanced
Challenging textbooks that prepare students for advanced mathematical subjects in high school, college, and beyond.
Suitable for grades 8–12.
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Contest Preparation
Problem-solving guides that math competition winners have relied on for more than 25 years, written by people who have won medals in national math contests, including MATHCOUNTS, the AMC, the AIME, and the USAMO.
Suitable for grades 6–12.
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Resources
Alcumus
Alcumus is our free adaptive online learning system. It offers students a customized learning experience, adjusting to student performance to deliver appropriate problems and lessons. Alcumus is aligned to our Introductory online courses and to our Introduction series of textbooks.
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Videos
Our video library offers hundreds of videos featuring AoPS founder Richard Rusczyk. Many of the videos are aligned to our Prealgebra, Introduction to Algebra, and Introduction to Counting & Probability books and classes.
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MATHCOUNTS Trainer
The MATHCOUNTS Trainer has thousands of problems from previous School, Chapter, State, and National MATHCOUNTS competitions. Full solutions are provided for every problem so aspiring MATHCOUNTS mathletes can learn how to approach even the toughest questions.
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For the Win!
Compete with middle school students from around the world with For the Win! (FTW), inspired by the MATHCOUNTS Countdown Round.
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Our experience over the last five months with AoPS's Prealgebra course has been transformational! Our kids used to dread math—but now they're discussing math together while we’re hiking, having dinner, or visiting with family. Wow!
Jean R.
Boing Boing
AoPS courses are a wonderful balance of challenge and guidance, constantly stretching students and inviting them to wrestle with problems at their own pace until they reach epiphanies. Bravo! I wish AoPS had been around when I was in high school.
AoPS Online Parent
My son is eating your classes up. He is pumped for each Wednesday and has to really work to solve the problems. He's always loved math, but cannot get enough of it now. Way to provide the best educational product this Dad has found anywhere!
John C.
I'm impressed at how much my son loved Precalculus. Sometimes he spent two days on his written proofs! I love that students weren't treated with kid gloves but instead afforded respect as burgeoning mathematicians. Now he's looking forward to Calculus. My daughter was already very good at math before she took Prealgebra through AoPS. Since then, she's become an even stronger and more confident problem solver while progressing through the curriculum.
Russell
We were incredibly lucky to have three passionate instructors in ChemWOOT who were able to capture the beauty and diversity of chemistry. This class was like a reaction chamber of some of the most motivated chemistry students in the country. The experience was really powerful.
AoPS Online Student
I've definitely developed a lot more confidence in math since taking AoPS Introduction to Geometry. In the process of doing harder problems than I ever knew I could, I've also begun to see geometry as an art. I'm enjoying math more and more!
AoPS Online Student
Great course! I'm a senior in high school and I decided to take Intermediate Counting & Probability because I'd never been exposed to problem-solving math before, let alone discrete math. Now, I feel ready to take the 400-level combinatorics sequence at college in a few months, and my problem-solving skills have improved a lot.
AoPS Online Student
Where I live, calculus is not offered in high school, so I've really treasured my AoPS Calculus class and everything I've learned. Thank you again for this incredible opportunity!
Jorge Castello
My instructor was great. I really enjoyed having a woman instructor as a role model and just an all-around-great mathematician! She was always willing to offer advice and knew just how many hints to give to keep problems doable but still satisfying.
AoPS Online Student
Every class I've taken with AoPS has been fantastic. Everyone does a great job helping students succeed while enjoying the process of learning math. I love that the students themselves are always open to helping each other out.
Matthew
The combination of videos, textbooks, on-line problems and book problems has been fantastic for our boys. I love that they can do this at their own pace, and how motivated they feel now they're be in charge of their own learning.
AoPS Online Parent
Latest News
Announcing AoPS Academy Princeton!
In-person classes for students grades 2–12 in Princeton, NJ! Classes begin early January. Stay tuned for additional campus locations to be announced!
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The Wait Is Over for Beast Academy Online
The world's best curriculum for kids in grades 2–5 who love math. Packed with 800+ lessons and 15,000+ challenging and engaging problems, plus progress reports for parents.
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It's Here: AfterMath!, the Podcast
Are you ready for AfterMath? In AoPS’s new podcast, Richard Rusczyk talks with math, science, and technology professionals about what they do—and how their passion for math helped them get there.
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Sign Up for Spring Courses
The AoPS Online Spring Course Schedule is available! Courses in math, contest prep, and computer programming usually fill quickly—don’t wait to sign up!
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