For Educators — Teaching with the Analytical Language Engine
The Analytical Language Engine

For Educators

one brass machine, four grade levels — computer science, mathematics, history, and the question of whether a machine can think

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.

How this guide works

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.

ThreadField
1 · The Machinecomputer science & artificial intelligence — what the engine does, step by step
2 · The Mathematicscounting → probability → distributions → the actual formulas
3 · The True HistoryBabbage, Lovelace, the Difference and Analytical Engines
4 · Can a Machine Think?philosophy of mind, anchored in Lovelace's famous objection
5 · At the Cabinetconcrete classroom activities using the engine itself

Ten-minute orientation (for you, before class)

A note on honesty. The engine's plaques distinguish what is genuinely computed (tokenisation, the probabilities, temperature, the lottery) from what is honestly illustrative (the embedding dials, the attention linkages, the mill's floors). Teaching that distinction is itself a lesson in how to talk about AI — model it for students rather than smoothing it over.
Grade 3

The Guessing Machine

ages 8–9

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 ▸
Grade 6

Counting, Chance & Clockwork

ages 11–12

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 ▸
Grade 9

Probability, Programs & Originality

ages 14–15

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 ▸
Grade 12

From Brass to Billions

ages 17–18

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 ▸

Primary sources (all freely available online)

Standards touchpoints

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.

⟵ Return to the Engine The Mathematics ⟶

Devised by Messrs. Horrocks & Claude · Oldham, Lancs. · © MMXXVI