Areas of pure math such as algebra, analysis, combinatorics and many others can be used—in some cases combined—to solve the complex math problems arising from applications of math to the real world.

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 ...

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Imagine that your focused mind is like your right hand, and your unfocused mind is like your left. You'll get more done by using both. And it lightens cognitive load. Using only focused effort is like ...

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

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, ...

A problem doesn't last a lifetime. But how you deal with it can make it linger for years without resolution. In my studies about the topic, I've identified that, in addition to everything that ...

People often solve simple arithmetic problems, such as basic addition, subtraction, multiplication or division, in their minds. The precise mental processes they rely on to solve these problems, ...

Among high school students and adults, girls and women are much more likely to use traditional, step-by-step algorithms to solve basic math problems – such as lining up numbers to add, starting with ...