The Guessing Machine
ages 8–9Guessing games and tally marks; the story of Babbage's room-sized calculator and Ada's "dreams"; a first wonder-question — when the machine writes a sentence, did it think of it?
Open the Grade 3 guide ▸The Analytical Language Engine is a working miniature of a large language model, dressed as a Victorian brass machine. Its probabilities are computed live; nothing is staged. That makes it usable as a genuine laboratory instrument — the same cabinet serves an eight-year-old playing a guessing game and a senior seminar on the philosophy of mind.
This is a spiral curriculum: the same five threads return at each grade band, each time with more sophistication. Nothing taught early has to be untaught later — the machine a third grader meets as a "guessing machine" is the same machine a twelfth grader analyses as an interpolated Markov model, and both descriptions are true. Each grade has its own page; share the one your colleagues need.
| Thread | Field |
|---|---|
| 1 · The Machine | computer science & artificial intelligence — what the engine does, step by step |
| 2 · The Mathematics | counting → probability → distributions → the actual formulas |
| 3 · The True History | Babbage, Lovelace, the Difference and Analytical Engines |
| 4 · Can a Machine Think? | philosophy of mind, anchored in Lovelace's famous objection |
| 5 · At the Cabinet | concrete classroom activities using the engine itself |
Guessing games and tally marks; the story of Babbage's room-sized calculator and Ada's "dreams"; a first wonder-question — when the machine writes a sentence, did it think of it?
Open the Grade 3 guide ▸Algorithms and context windows; percentages, weighted chance, and the temperature experiment; punched cards and the first published program; is surprising us the same as originating?
Open the Grade 6 guide ▸The n-gram Markov model named and audited by hand; conditional probability and temperature with worked numbers; the engineering history; Lovelace's objection meets Turing's reply.
Open the Grade 9 guide ▸The full formulas, entropy, and the Markov property's limits; real transformer architecture; historiography and experimental archaeology; a seminar from Note G to the Chinese Room.
Open the Grade 12 guide ▸Offered as orientation, not a formal crosswalk:
Every number this guide cites about the cabinet — 79 sentences, ~231 sorts, 24 rack places, the λ weights — is live in the machine and checkable by your students. If they catch a discrepancy, they have learned the most important lesson of all: audit the machine.
Devised by Messrs. Horrocks & Claude · Oldham, Lancs. · © MMXXVI