Teachers can use these questions to draw students out and get worthwhile formative assessment responses to guide instruction.

In this video we will explore how to solve rational equations and label extraneous solutions. We will solve a variety of equations using multiple techniques. I make short, to-the-point online math ...

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 ...

I’m a new principal investigator (PI) with my own laboratory at a prestigious university. The PhD students who make it into our programme have already achieved a lot academically. But, sometimes, that ...

In a dark room, in the middle of the night, a woman lies dreaming. Suddenly, her eyes beneath their lids dart crisply left-right, left-right. The eye signal means she knows she’s dreaming. Lucid ...

In the study, 299 undergraduate students between the ages of 18 and 33 were asked to solve a series of compound remote associates (CRA) problems, a standard test of creative problem-solving in which ...

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 ...

Neural tissue normally dies quickly without oxygen. Yet bird retinas − among the most energy-demanding tissues in the animal kingdom – function permanently without it. This may be relevant in future ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...

Imagine Jo: Everyone in Jo's life recognizes her as an outstanding problem solver. She's the type of person who seems capable of almost anything. Jo excels at intuitive problem-solving. Over her life, ...

🚧 This project was built during my early learning phase. I plan to refactor it as I grow. 🤔 Challenges I Faced & Solutions Problem Challenge Solution ...