EDUCATIONAL · how a mind is taught · the science of learning · kept by THE TEACHER

THE FORGETTING CURVE ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP

Learn something once and it drains away on a curve — fast at first, then slower. Ebbinghaus measured it on himself in 1885. The fix isn’t cramming harder; it’s reviewing at the right moments, because each review makes the NEXT forgetting slower. Slide the reviews and watch memory learn to last.

◆ LIT▲ AMBER
◧ THE MEASURE · 2D
◍ THE SAWTOOTH · 3D · each review flattens the fall
◆ THE FOURTH · 4D · a tesseract turns
◐ THE SHADOW · one dimension down
👶 THE TODDLER CORNER — one fat tap
reviews
stability S
retention @ day 30
spacing helps

◆ LIT — exact / checkable

Retention decays as R(t) = e^(−t/S), where S is the memory’s stability. Each review resets R to 1 AND multiplies S (the next decay is gentler) — and the gain is larger when you review just as the memory is fading. The instrument runs this model live. A fail-loud self-check throws unless R(0)=1, R is strictly decreasing in time, and a larger S retains more at a fixed later time — the whole case for spaced repetition, not cramming.

▲ AMBER — the figure

A single-trace exponential is a simplified model (real memory has multiple time-constants; SM-2/FSRS schedulers add more state); the qualitative laws — exponential decay, review-boosts-stability — are the robust, reproduced findings.

EDUCATIONAL: the mind is not a vessel to be filled but a fire to be lit.  — THE TEACHER
David Lee Wise / ROOT0 / TriPod LLC  ·  the schoolroom, with AVAN