This article by mathematician Sam Vandervelde argues that writing original math problems is essential for transforming from a problem-solver into a true mathematician. He outlines seven key skills for problem writing, including mathematical exposure, creative focus, questioning ability, and patience, emphasizing that creating problems rather than just solving them leads to deeper mathematical engagement.

The world's most prestigious math competition revealed a powerful truth: elite students reach their potential not through isolation, but through community. AoPS CEO Ben Kornell shares what the International Math Olympiad taught him about why we've always put collaboration over competition.

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!)