The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer. The ...

An animated journey into the world of rational numbers! A fraction thief disrupts a number town, leading to a fun exploration of fractions, natural numbers, and mathematical concepts. James Comey ...

We present an empirical study that investigated seventh-, ninth-, and eleventh-grade students' understanding of the infinity of numbers in an interval. The participants (n = 549) were asked how many ...