Large language models (LLMs) can make tutoring more scalable, but only if students use them to reason through mistakes rather than avoid effort. We study this question in a randomized field experiment ...

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 ...

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One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...

What are the most pressing global crises in 2026? Each year, the International Rescue Committee’s (IRC) Emergency Watchlist identifies the countries at greatest risk of new or worsening humanitarian ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

Every August, NFL teams are forced to make roster cuts ahead of the start of a new season. In this period, practice squads are also finalized to create a cushion of coverage for emergencies and ...

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Sven, a sales leader, received a call from a major customer who was furious. Their order arrived late, the product was damaged, and to top it off, their invoice didn’t reflect the volume discount ...

Entrepreneurs who build successful businesses often possess a unique ability to see what others don't—the critical bottlenecks hiding in plain sight that create frustration, inefficiency, and lost ...

Abstract: This study explores the application and practice of deep learning algorithms and MATLAB software in teaching higher mathematics. The teaching case design of function approximation, ...