The science behind Bridge My Gaps
We didn't invent anything. We combine pedagogical principles with decades of research on how adults learn. Here's every design decision and why it works.
Principles we use
Spiral Curriculum
Jerome Bruner, 1960
Every concept is revisited multiple times with increasing depth. You don't learn it all at once — it's built in successive layers.
How we apply it: Each gap is walked through 5 layers: intuition → concept → connections → formalization → edges. Never jumping from zero to expert.
📄 The Process of Education, Harvard University Press
Zone of Proximal Development
Lev Vygotsky, 1934
The most effective learning happens just above what you already know — not so easy it bores you, not so hard it frustrates you.
How we apply it: The initial diagnostic calibrates which layer you start at for each gap. If you already have the intuition, we don't make you start from scratch.
📄 Mind in Society, Harvard University Press
Active Learning
Bonwell & Eison, 1991
Reading passively doesn't produce lasting learning. Answering questions, explaining in your own words, and applying concepts does.
How we apply it: Every layer has a comprehension question. It's not a quiz — it's a conversation where you check your own understanding.
📄 Active Learning: Creating Excitement in the Classroom, ASHE-ERIC
Scaffolding
Wood, Bruner & Ross, 1976
When someone gets stuck, the answer isn't repeating the same thing — it's adding more structure: guides, options, alternative analogies.
How we apply it: If you miss an open question twice, the system offers you multiple choices. There's always a way out — you never get trapped.
📄 The Role of Tutoring in Problem Solving, Journal of Child Psychology
ELI5 and Analogies
Based on Piaget's Constructivism
New knowledge is built on existing knowledge. If you connect a concept to something you already know, you internalize it faster.
How we apply it: The first layer always starts with an everyday analogy. Formal notation doesn't show up until layer 3. First the idea, then the symbol.
📄 The Construction of Reality in the Child, Basic Books
Assessment Without Penalty
Carol Dweck — Growth Mindset, 2006
Penalizing mistakes creates fear of being wrong, which is the biggest block to learning. A safe environment to fail accelerates progress.
How we apply it: No scores, no lives, no leaderboard. If you don't get it, we re-explain with a different analogy. If you want to leave, you can keep going.
📄 Mindset: The New Psychology of Success, Random House
What we don't do (and why)
Every product decision has an anti-pattern we deliberately avoid.
Showing all the content at once
Cognitive overload blocks working memory (Miller, 1956 — The Magical Number Seven)
Starting with formal notation
A symbol without context triggers math anxiety and blocks processing (Ashcraft, 2002)
Moving on without checking understanding
The illusion of learning: believing you understand because you read it, without being able to apply it (Bjork, 2011)
Penalizing mistakes with scores
Encourages a fixed mindset: avoiding risk instead of learning from errors
One single explanation for everyone
Everyone connects from different prior frames — multiple analogies cover more ground
"You're not missing knowledge. You're missing names."
— Bridge My Gaps