Root-Cause Mathematics Diagnostic

Find the math concept underneath the problem.

A student may be struggling with a topic because an earlier concept is missing. Gap Finder investigates your answers backward through the prerequisite graph to pinpoint the exact root gap—then builds a short, focused plan to fix it.

Private by design Zero accounts or tracking 16-topic prerequisite graph Runs offline in your browser
The Gap Finder Methodology
1
STEP 1
Choose a
hard topic
2
STEP 2
Diagnose
with checks
3
STEP 3
Trace back
prerequisites
4
STEP 4
Find the
root gap
5
STEP 5
Repair with
mini-lesson
6
STEP 6
Recheck
& retain
The Prerequisite Graph

How math topics build on each other

Each box represents a concept. Arrows show foundational prerequisites. When a lesson feels difficult, Gap Finder traverses this map backward to identify where understanding first slipped.

Scroll horizontally to view all connected concept levels →

Not checked Known (Solid) Shaky Root Gap (Start Here) Current Topic
Select a Topic to Diagnose

What feels hardest right now?

Select any concept you want to master. We ask 2–3 quick diagnostic questions. If something slips, we investigate the underlying ideas until the root cause is clear.

The Core Method

Why standard math practice doesn't fix gaps

  1. Pick the topic that feels hard.You answer 2 to 3 short diagnostic checks. A third question appears only if the first two disagree, preventing careless slips from deciding the outcome.
  2. If you slip, Gap Finder checks the earlier foundation.Instead of simply drilling you on the same hard problem, the app steps backward along prerequisite branches to test the underlying rules.
  3. It stops at the root cause.A failed concept whose own prerequisites are all secure is marked as the root cause. Everything built on top of it unlocks once this gap is repaired.
  4. You get a focused lesson and a 1-week plan.A targeted mini-lesson explains the exact misconception, followed by an actionable spaced repetition schedule with calendar dates.