Art of Problem Solving Review: Is AoPS Right for Your Gifted Kid?

What AoPS Actually Is

Art of Problem Solving is the default mathematics curriculum for gifted homeschoolers, and for good reason. Unlike standard maths textbooks that show a method and ask students to repeat it fifty times, AoPS presents problems first and lets students struggle toward solutions before revealing the theory. It teaches mathematical thinking, not mathematical mimicry.

The programme runs from elementary through advanced secondary:

• Beast Academy (Grades 1–5, typically ages 6–13): A graphic-novel-format curriculum covering deep problem-solving, spatial reasoning, and mathematical logic. This is the elementary feeder into the main AoPS sequence.
• AoPS Core Courses (Prealgebra through Calculus, plus Number Theory, Counting & Probability, and Intermediate-level courses): The heart of the programme. Available as self-study textbooks or live online courses.
• Competition Preparation: AoPS is the standard training ground for AMC, MATHCOUNTS, and olympiad-level mathematics.

Courses cost approximately $500–$700 each for the online class format. The textbooks alone run $50–$70.

What AoPS Does Exceptionally Well

It treats mathematical reasoning as a learnable skill, not a gift you either have or don't. The discovery-based approach forces students to engage with why a method works, not just how to execute it. Kids who coast through standard curricula by memorising procedures hit a wall at AoPS — and that productive struggle is exactly where deep mathematical understanding forms.

The placement tests are genuinely diagnostic. Before starting any course, students take a free placement test that identifies specific conceptual gaps. This prevents the common homeschool mistake of placing a child based on their age or what they "should" be doing.

The community is unmatched. AoPS online forums (the "AoPS Community") host tens of thousands of students discussing problems, sharing competition strategies, and collaborating on mathematical questions. For a gifted child who has never had a peer conversation about mathematics, this community can be transformative.

The difficulty ceiling is real. AoPS courses lead naturally into olympiad-level mathematics. A student who completes the full sequence has covered advanced coursework through Calculus, alongside specialized subjects and olympiad-level contest math.

Where AoPS Struggles With 2e Learners

The programme's greatest strengths create genuine barriers for twice-exceptional students:

The live online course format is fast-paced and text-heavy. Students participate via a real-time chat window, solving problems and posting solutions while an instructor moves through material. Children with slow processing speed, dysgraphia, or ADHD-related executive dysfunction can find the pace overwhelming. They understand the maths — they just can't type solutions fast enough to keep up with the class discussion.

The textbook problems assume strong working memory. Multi-step problems that require holding several sub-results in mind while building toward a solution are the core of the AoPS method. A child with excellent fluid reasoning but weak working memory may grasp the overarching concept but lose track of intermediate steps.

Frustration tolerance is baked into the design. AoPS intentionally presents problems harder than students have seen before, expecting them to struggle. For a gifted child with healthy frustration tolerance, this builds resilience. For a perfectionist or anxious child, hitting a wall on every third problem can trigger spiralling self-doubt.

AoPS vs Johns Hopkins CTY

CTY's mathematics courses take a different structural approach. Where AoPS is discovery-based and competition-oriented, CTY courses are more traditional in pedagogy — lecture-based instruction followed by problem sets — but pitched at an accelerated level and verified by a prestigious institutional name.

CTY courses cost $900–$2,200 per course, and summer residential programmes run $3,149–$7,500. The institutional transcript carries weight for college admissions, which AoPS self-study textbooks alone don't provide (though AoPS online courses do issue completion records).

For a child who thrives on competitive problem-solving and has strong processing speed, AoPS is the better fit. For a child who needs structured instruction, institutional verification, and a pacing model that accommodates extended time, CTY may work better — at a significantly higher cost.

How to Use AoPS With a 2e Child

If your child has the mathematical reasoning for AoPS but the processing or executive function barriers of twice-exceptionality, several adaptations work:

Use the textbooks self-paced instead of the live courses. The books contain the same problems and discovery method, without the time pressure of the chat-based classes. Let the child spend 45 minutes on a single problem if that's what it takes.

Pair AoPS with explicit worked examples. After the child has attempted a problem set on their own, watch the AoPS solution videos together. The struggle-first, solution-second approach still works — just remove the time constraint.

Reduce the daily problem count. AoPS recommends working through a chapter section in one sitting. For a 2e child, three challenging problems done thoughtfully are more valuable than eight done in frustration.

Use speech-to-text for written solutions. If dysgraphia makes writing solutions painful, have the child dictate their reasoning while you or they type. The mathematical thinking is the point, not the handwriting.

The Verdict

AoPS is the best mathematics curriculum available for gifted learners who can handle its demands. For twice-exceptional students, it's often the right content at the wrong speed. The solution isn't to choose easier material — it's to modify the delivery.

The Gifted & 2e Homeschooling Blueprint includes an academy comparison matrix that rates AoPS, CTY, Davidson Academy Online, and other providers on cost, executive function demands, 2e friendliness, and international availability — so you can match the platform to your child's specific profile rather than choosing based on reputation alone.