The designers for Monte Vista Elementary School’s proposed outdoor classroom had some key questions to answer: What materials could they use while staying under the district’s $10,000 budget? How much ...

The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

Expert systems builders construct computer programs that capture some aspects of human problem-solving performance in a narrow domain of expertise. The narrowness and shallowness of the knowledge ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

You can probably think of a time when you’ve used math to solve an everyday problem, such as calculating a tip at a restaurant or determining the square footage of a room. But what role does math play ...

To solve tough problems at work, first ask these questions. Problem solving skills are invaluable in any job. But all too often, we jump to find solutions to a problem without taking time to really ...

Too many companies launch new products or services without a process for deeply understanding what their customers truly need. They make assumptions, rely on limited feedback, or develop ideas based ...

Technology has delivered groundbreaking advances in recent decades—from life-saving medical treatments to the everyday convenience of carrying a powerful computer in a pocket. Yet despite the rapid ...

Identifying and resolving pain points is fundamental to launching successful businesses. Customer validation and market analysis are critical steps toward understanding if a problem is worth solving.