Every child has gaps in maths. Even the strongest students. A gap is a small missing piece — maybe fractions from two years ago, or one algebra rule that never quite landed. Gaps are normal; they are not a sign of a weak student. They are simply the places where teaching moved faster than learning.
The trouble is what happens when we teach past a gap. The new topic quietly depends on the missing piece. The child sits in class understanding nothing while everyone around them nods along. Nothing is wrong with their ability — but they have no way to say "I never learned the step before this." Over time that feeling hardens into a belief: "I'm just bad at maths." That belief is anxiety, and anxiety blocks learning more effectively than any hard topic ever could.
So we check before we teach. The check is a friendly, adaptive quiz — not an exam. No pass or fail, no grade for a school report, no clock designed to catch them out. Questions adjust as they go: hard enough to find the edges of what they know, never so hard that it feels like punishment. To a child it feels like a game they can win, because the questions keep meeting them exactly where they are.
When the check is done, we know the precise place their path should begin. The first lesson is neither too easy (boring) nor too hard (discouraging) — it is the one lesson they are ready for right now. Success on day one is the antidote to months of maths anxiety.
And the checking never really stops. As your child learns, we quietly re-check in the background, so the path moves with them — forward when they master something, back to repair a gap the moment it appears.