Articles

How does problem-solving relate to language arts? Quite easily: every time you work to communicate or understand an idea, you're working to solve a problem. Read on to learn how the AoPS Language Arts team applies our world-class problem-solving approach to language arts.

Transform your gifted learner's mathematical journey with Beast Academy, where problem-solving embodies what makes us uniquely human: innovation, adaptability, and connection. In an era of artificial intelligence and instant answers, Beast Academy goes beyond acceleration, using rich challenges and delightful beast characters to develop the lateral thinking patterns that gifted minds naturally possess. Your child won't just learn math—they'll master the art of creative problem-solving essential for long-term success.

How can puzzles transform your classroom? When two students—one who’s bored from flying through assignments and another stuck on a tough problem—both say, “We’re bored!” puzzles can be the perfect solution. Discover how thoughtfully designed puzzles not only engage diverse learners but also foster collaboration, strategic thinking, and perseverance.

"One of my favorite Beast Academy problems is the Honeycomb Path Puzzle. It's a simple concept with incredible flexibility, and gives many opportunities for challenge." ~David Flynn, Math Curriculum Team Lead

The USA Computing Olympiad (USACO) challenges its contestants with bizarre scenarios involving millions of cows or billions of liters of milk, and only careful coding can set things right on Farmer John's chaotic farm. Learn more about how AoPS can help you prepare for this contest (and become an even stronger problem-solver!)

“Who Wants to be a Millionaire” contestant and AoPS curriculum developer David Patrick discusses the math behind the popular game show.

AoPS curriculum developer, David Patrick, shows one way to prove Ceva's eponymous theorem.