When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. Click to tell Google to prioritize Quanta and see more ...

In some mathematical topics, I’ve encountered the problem of not having enough exercises for students to master the material properly. With this sheet, that problem will no longer arise. Additionally, ...