Art of Problem Solving (AoPS)

Art of Problem Solving builds exceptional mathematical thinkers through discovery-based problem solving rather than memorization, making it ideal for advanced math students in grades 5-12 who thrive on challenge and want to go deeper than typical curricula. This rigorous program teaches students to truly understand the "why" behind mathematical concepts through extensive problem-solving practice, preparing them for math competitions, STEM-focused universities, and careers in fields like engineering, computer science, and physics. The curriculum works particularly well for gifted learners and mathematically-inclined students who find traditional textbooks too repetitive or surface-level. The program offers both printed textbooks with separate solutions manuals and online courses (live or self-paced), covering an Introductory Curriculum (Prealgebra through Geometry and Number Theory) and Intermediate Curriculum (Intermediate Algebra through Calculus). Each course is text-heavy and discovery-oriented, with students working through challenging problems before concepts are formally explained. The secular, neutral content focuses purely on mathematical thinking without religious references, and the online platform includes adaptive AI, free video lessons for select courses, and active community forums where students discuss problems. Parent involvement varies: younger students often need coaching through difficult problems, while older students can work more independently using the self-teaching format. Parents appreciate the depth of conceptual understanding their children develop and the excellent preparation for advanced STEM coursework, though the transition from traditional math programs can be challenging initially. The curriculum is not recommended for struggling math students who need more scaffolding, basic practice problems, or visual supports, as pages are packed with dense text and the problems assume strong foundational skills. Review the free diagnostic tests on the AoPS website to determine appropriate placement before committing to a course.