The Gap

Stuck on a concept? We'll find where your understanding broke.

Enter any concept you're struggling with and The Gap traces backwards through the prerequisite chain to find the exact point where your understanding broke. Four gap types diagnosed: conceptual (don't get why), procedural (can't do the steps), definitional (don't know what it means), notational (symbols blocking you).

Overview

The Gap solves the #1 study mistake: when you're stuck on something, you try to re-read the hard material. But the problem is almost never the hard material itself — it's a prerequisite you're missing. Someone struggling with integrals usually has a limits gap. Someone struggling with limits usually has a functions gap. The Gap traces the dependency chain, diagnoses the gap type, and gives you a focused fix for the specific hole.

How to use it

1. Enter the concept you're stuck on — be specific ('integration by parts' not just 'calculus')
2. Add subject, your level (high school through grad), and what you DO understand to help calibrate
3. Review the prerequisite chain — each node has a quick self-test and gap-likelihood rating
4. Click any node and answer honestly: Can't answer / Unsure / Got it
5. Review the likely gap, its refresher, and the 3-step study plan
6. Use Deep Dive for worked examples and practice problems on the specific gap

Example

Scenario: You're in Calculus II and can't understand integration by parts. You've watched three YouTube videos and it still doesn't click.

What you do: Enter 'Integration by parts', subject 'Calculus', level 'Undergrad', add 'I can do basic integrals but u-substitution was already shaky'.

Result: The Gap builds a chain: Algebra → Functions → Limits → Derivatives → Product Rule → Integration by Parts. The likely gap is flagged at Product Rule (high likelihood) — you never internalized WHY the product rule works, so you can't reverse it into integration by parts. Quick refresher explains the connection, practice problems confirm the fix, and the forward connection shows exactly how understanding the product rule makes integration by parts click.

Tips

• The 'What do you understand?' field is gold — it lets the tool skip prerequisites you already have
• Gap types matter: a conceptual gap needs explanation, a procedural gap needs practice, a definitional gap just needs a definition
• Quick tests at each node are honest diagnostics — don't skip them, they're how you find the real gap
• The likely gap is usually 2-3 steps back from where you think the problem is
• Deep Dive practice problems go easy → hard — if you nail the easy one, the gap is probably elsewhere
• Works for any subject: STEM, humanities, social sciences, languages — anything with prerequisite knowledge