Math Education: What If We Started with Sets and Groups Instead of Numbers?
Image: Katerina Holmes We all remember how math began for us: counting blocks, fingers, or apples, writing the number “2” over and over, memorizing that 3 + 2 = 5. Arithmetic was the foundation, and numbers were treated as the most basic element of mathematical understanding. But what if that foundation is, in fact, not the most natural starting point ? What if we began math education not with numbers, but with sets and groups ? It may sound like a move reserved for graduate students or pure mathematicians, but I believe that reframing the beginning of math education around sets and structure — rather than counting and calculation — could unlock a deeper, more intuitive, and more meaningful mathematical journey from the very beginning. Why Start with Sets? Before children ever learn to count, they’re already experts in categorizing the world. They sort toys by color or shape, they understand what belongs in the “group” called family, and they can tell the difference between “so...