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In a small paper library on an island, a mother reads a slim guide in an armchair under a warm lamp while her son stands on a step stool to take a book from the shelf.

Insight · Adaptive learning · 6 min read

Why the first gap is never where you see it

Where your child struggles is rarely where the problem started. Finding the first gap is the fastest way forward.

Theme · Mastery and math

StatusIn preparation · the full piece will follow our opening

The symptom and the cause

A Grade 6 learner struggling with long division may not have a division problem at all. The trouble might be subtraction with regrouping, or multiplication facts that take too long to recall. The struggle shows up in the newest topic, but it began earlier.

Why more practice on the symptom doesn’t help

If the cause is underneath, extra work at the top just repeats the frustration. Your child does more of what isn’t working, and may start to believe they’re “bad at math” when the real issue is one small, fixable skill.

The struggle shows up late; the gap starts early.

The short version

How we find the first gap

We work backwards from a missed question through the skills it depends on, with short checks, until we reach one that isn’t secure. We fix that, then work forward again, checking at each step. It can feel slower for a week or two, and then things start to move.

What you’ll take away

  1. 01The struggle shows up late; the gap starts early.
  2. 02More practice on the symptom repeats the frustration.
  3. 03Fix the first gap, then build forward.

Every child deserves to be known. Let’s start with yours.

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