Thinking Like Alice

The foundational move. Every fact has a reason underneath it, and the reason is where understanding lives. Why does the sky darken before rain? Why does the fraction rule work? Why do we shake hands? Asked in chains — why, and why is that, and why is that — this single word is first-principles thinking in its native form. A family where 'because that's the rule' counts as a challenge rather than an answer is running a different cognitive culture.

Play it: Five-whys walks: pick anything you pass and chain whys until you hit bedrock or 'I don't know — how could we find out?' (Both are wins.)

Intelligence runs substantially on pattern recognition — seeing that this new thing is an old thing wearing a costume. Multiplication tables are full of patterns (the nines' digits sum to nine). Stories run on patterns (the mentor dies in act two). Arguments, weather, sibling fights: patterns. Naming a pattern converts a thousand observations into one tool.

Play it: 'What does this remind you of?' — asked about anything, from a math problem to a movie plot. Bonus round: where does the resemblance break?

The move from instance to rule. It worked here — will it work everywhere? For all numbers, or only whole ones? For all triangles, or only right ones? Generalization is how three examples become knowledge, and testing generalizations against counterexamples is how knowledge gets honest boundaries. Children generalize constantly and lazily; this question makes the habit deliberate.

Play it: 'Will that always work?' followed by the counterexample hunt. Finding the case that breaks the rule earns bigger applause than finding cases that confirm it.

Every surprise is an assumption failing. The problem looked like yesterday's problem but the answer is different — what changed? The trick worked in whole numbers and broke in fractions — which hidden assumption broke it? Locating the changed assumption is the debugging skill, and it transfers everywhere: code, arguments, science, friendships.

Play it: When anything surprises anyone at dinner: 'What did we assume?' Post-mortem your own wrong predictions out loud — parents modeling assumption-hunting on themselves is the whole lesson.

The deepest of the five. When everything is changing, what didn't? Cut a shape apart and rearrange it — the area held still. Rename 1/2 as 3/6 — the amount held still. Scale a recipe — the ratio held still. Mathematics is substantially the study of invariants, and so is physics, and so is character. Finding what holds still is how you find what a thing really is.

Play it: Transformation hunts: pour water between glasses (what held still?), rescale a recipe, rename a fraction. Then the grown-up version: this story changed setting — what stayed the same?