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Understanding the Art of Problem Solving (AoPS) Program

A structured overview of what credible sources and parent perspectives commonly say about this topic.

Quick answer

Art of Problem Solving (AoPS) is a math-focused educational program that provides challenging coursework, online classes, and problem-solving resources for students typically in grades 4–12. Alternatives include programs like Kumon, Russian Math, and Math Olympiad training, each with different focuses and teaching methods.

At a glance

Most common inStudents aged approximately 9 to 18 with strong interest or aptitude in mathematics
Usually meansA specialized curriculum and community focused on deep mathematical problem solving and competition preparation
What helps mostEngaging with challenging problems, interactive online classes, and a supportive community of peers and instructors
AvoidRelying solely on rote memorization or standard school math without problem-solving practice
Look closer ifA student struggles with basic math concepts or shows no interest in problem-solving challenges

Things to try now

What to do now

  • 1Visit the AoPS website to explore available courses and resources
  • 2Identify your child's current math interests and strengths to select appropriate starting materials
  • 3Encourage your child to try sample problems or contests available online

What to say

  • “Let's explore some interesting math problems together and see what you think.”
  • “It's okay if a problem feels hard; working through it helps your brain grow.”
  • “Trying different approaches is part of learning — every mistake is a step forward.”

What to practice consistently

  • Regularly setting aside time for problem-solving beyond homework
  • Discussing problem-solving strategies and reflecting on what worked
  • Encouraging participation in math clubs or online forums for peer interaction

What to avoid

  • Pressuring the child to perform without considering their interest or readiness
  • Focusing only on speed or correct answers rather than understanding
  • Using math solely as a measure of intelligence instead of a skill to develop

These are common approaches mentioned in sources and by parents. They are informational, not prescriptive.

What this usually involves

  • A rigorous curriculum covering topics beyond typical school math, including number theory, combinatorics, and advanced algebra
  • Online interactive classes taught by experienced instructors with small class sizes
  • Extensive problem sets and contests preparation, including for Math Olympiads and AMC (American Mathematics Competitions)
  • Community forums where students discuss problems and solutions
  • Books and resources authored by AoPS founders and educators
  • A focus on developing critical thinking, creativity, and mathematical reasoning rather than memorization

Related questions

What is Kumon and how does it compare to AoPS?

Kumon is a self-paced math and reading program focusing on mastery through repetition and incremental skill-building, while AoPS emphasizes deep problem-solving and advanced math concepts often geared toward competition preparation.

What is Russian Math?

Russian Math is an approach based on the Russian curriculum, emphasizing conceptual understanding and problem-solving, often with a strong focus on mental math and logical thinking.

Are there online math competitions for kids?

Yes, competitions like the AMC (American Mathematics Competitions) and Math Kangaroo offer online and in-person contests for various age groups.

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About this page

Sources checked

2026-06-06

This page was created using structured synthesis of public guidance, parent perspectives, and practical next steps.

It is informational only and not a substitute for professional medical, psychological, or educational advice.

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