Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

German psychologist Wolfgang Köhler set up a famous experiment more than 100 years ago that changed how scientists understand animal intelligence and the power of insight — or spontaneous ...

Bumblebees faced with a challenge know how to play ball. Buff-tailed bumblebees can figure out on their own how to use a ball as a ladder to nab sugar from an out-of-reach fake flower, researchers ...

Despite having tiny brains, bumblebees have demonstrated a remarkable ability to socially learn how to use tools, solve simple puzzles, and cooperate to achieve a goal. It seems they can also solve ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

I cut my teeth getting grounded in principles of design thinking when I launched a strategic design MBA during my university teaching years. Design thinking is essentially a problem-solving process ...

Critics of artificial intelligence caution that, as a relatively new technology, its long-term effects on the human brain are still unknown. But a new study shows that AI could be dangerous even in ...

Using AI chatbots for even just 10 minutes may have a shockingly negative impact on people’s ability to think and problem-solve, according to a new study from researchers at Carnegie Mellon, MIT, ...

👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions ...

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression ...

Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is ...