You may have seen the “no-lift pencil” puzzles online — challenges that ask you to draw a shape without lifting your pencil ...

When pigeons outnumber pigeonholes, some birds must double up. This obvious statement, and its inverse, have deep connections ...

While GenAI has its uses, its current form falls short of meeting the rigorous demands of financial applications.

The world-famous mathematician Alan Turing found a possible mechanism for iconic animal patterns thanks to differential equations ...

For example, a set is kind of like a bag of marbles ... We don’t want to impose any particular rigid mathematical model onto language. We can start with simple frequencies, like how many times the ...

Another common struggle: the parts-of-a-whole problem. Fractions are introduced through the “pizza model,” but students’ ...

Hallucinations / A common (but controversial) term of art for undesirable outputs produced by generative AI, such as when ...

In order to ensure alignment with the AI model’s original training, the team at Anthropic regularly monitors and evaluates ...

DeepCoder-14B competes with frontier models like o3 and o1—and the weights, code, and optimization platform are open source.

There’s no shortage of tech leaders predicting that AI will replace humans, fulfilling even complex tasks with speed and ...

W hen most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier- sounding rhombus or ...

When students have unlimited answers at their fingertips, it’s more urgent than ever for teachers to find better questions.