№ 03 · The method

Socratic, stubbornly.

The method is not a marketing word here — it is a constraint the tutor runs under. Two sentences, then the floor goes back. Ask for the answer and you get a better question.

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A SmartWit Geometry session: parallelogram ABCD drawn with equal-side marks, and the two angles the tutor can already name — B and D — each marked 70 degrees. An arrow points at vertex A beside the handwritten question 'the four angles add to 360° — what does that leave for A?', and the student's working runs down the right: 70° + 70° = 140°, 360° − 140° = 220°, ∠A = 110°. — “The four angles add to 360° — what does that leave for A?”

The turn contract

Every spoken turn is capped at roughly two sentences and ends by handing the work back. It will not answer its own question, and it will not finish the step your student is mid-way through. Refuse to move and it will shrink the step instead of taking it, until what is left is small enough for them to make.

A crop of a session whiteboard: the student's own two lines of working, x = (1 + 5) ÷ 2 = 3 and y = (3 − 1)(3 − 5) = −4, with a green check beside the second. — Both lines are the student's · the tutor asked, then waited

Mastery, honestly described

SmartWit keeps a running per-topic estimate of what your student has mastered and updates it from each answer. It is an estimate — useful for deciding what to do next, and honest about being a model rather than a measurement. We would rather explain the number than inflate it.

A summary, and the tape

Sessions end with a summary: what was covered, what moved, what needs another pass. The full recording sits behind it (whiteboard and both voices), so any claim on this page can be checked against what actually happened in your own kitchen.

Ask it point blank for the answer and it narrows the problem, smaller and smaller, until the last move is one your student can make.

Scored, then adapted

Every answer is quietly assessed: wrong, partly there, or clean. Wrong gets more scaffolding, partly gets another rep from a different angle, clean gets a harder step. The next session opens where the last one actually ended rather than where the worksheet happened to stop.

A crop of a Geometry session whiteboard: the student's angle working written out in three lines — 70° + 70° = 140°, then 360° − 140° = 220°, then ∠A = 110°. — Three clean steps · the next question got harder

What we don't claim. We're new. We have no outcome study, no “9 out of 10 students improved”, and we will not invent one; this category is full of numbers with no source behind them. What we offer instead is a mechanism you can watch and a record you can audit. Judge it on your own student's board.

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Live voice

The conversation: interrupting, patience, short turns.

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The whiteboard

Reading handwriting, and drawing math that is actually correct.

The last word

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