There's knowing a formula, there's understanding why it works, and then there's something beyond both. In this episode, Aaron Demby Jones explores what those levels feel like by exploring forbidden fraction rules.

There's knowing a formula, there's understanding why it works, and then there's something beyond both. In this article, Aaron Demby Jones explores what those levels feel like through a deceptively simple example: long division.

There’s knowing a formula, there’s understanding why it works, and then there’s something beyond both. This series by Aaron Demby Jones breaks down what those levels actually feel like, starting with a simple example: the area of a triangle.

Math is beautiful. But most students won’t get to see that beauty until it's too late. Quanta interviewed AoPS Founder Richard Rusczyk on how Art of Problem Solving teaches math as a creative discipline, and why the accumulation of knowledge isn't the end goal of learning – rather, it's about being playful, open, and willing to try new things.

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.

Break out the sidewalk chalk, it’s time for #Mathwalk! This summer, AoPS Academy students are preventing summer slide by putting their creative problem-solving to work — chalking out math problems on sidewalks around their community for neighbors to solve.

What are your chances for winning the Powerball or Mega Millions? We dive into strategies for increasing your chances of winning.

From letter distribution to first-word strategies, we analyze Wordle word lists for patterns and come up with tips for playing — and winning — mathematically.