Book 3 · The Mini-Beast · Chapter 23 of 44

The Correspondence

Per-level diagnostic markers and common stalls.

A2 ↔ TOGT 2 climbing

Sigil ↔ Operator F CEFR C1 Week 11
C · CompressionK · ThresholdF · FoldU · UnfoldingG · Generation

OrientationCognitive Demand Never Exceeds Linguistic Capacity

The correspondence is a scheduling constraint. A student at A1 is not asked to write an essay; a student at D1 is not given a matching task. The operator sequence is the same at every level — only the resolution changes.

CEFR levels → TOGT structural levels
CEFRTOGTTask typeOutputOperator phase
A11Match, point, choose1 wordC only
A22Complete, label1–2 sentencesC → K
B13Explain, compare3–4 sentencesC → K → F
B24Justify, buildParagraphFull G
C15Analyse, critiqueEssayG + normal form
C26Synthesise, conjectureFull argumentCategory dm³
D17Original researchPublicationCodex

Diagnostic MarkersHow to Tell Where a Student Actually Is

Self-report and course position are both unreliable. These markers are behavioural and observable in a single session.

A1–A2 · C activeCan label and complete but cannot yet say why two labelled things belong together. Output is one to two sentences. Ask for a comparison and you get a list.
B1 · K activeCompares and relates without being prompted. Three to four sentences. The tell is unprompted use of because and whereas — relational structure appearing in the syntax before it appears in the content.
B2 · F beginsJustifies rather than describes. Produces a paragraph with a load-bearing claim. The tell is that the student starts defending a choice you did not challenge.
C1 · F completeCritiques the justification, including their own. Can say what would make their own argument wrong. Essay-length.
C2 · U beginsSynthesises across chapters and conjectures. Proposes an extension that was not taught.
D1 · U completeAsks a question the course cannot answer and pursues it. Output is a publication.

Common StallsAnd What They Actually Are

The B1 plateau — vocabulary mistaken for the problem

The student adds words and does not advance. The shift from A2 to B1 is not about acquiring more vocabulary; it is about organising vocabulary into relational structures. More vocabulary is the wrong intervention and it feels like progress, which is why the plateau is stable.

The fix is structural: force comparison. Two objects, one sentence, explicit relation.

The B2→C1 wall — the fold is genuinely hard

Students experience this jump as a shift in how they perceive the material, and they are right. This is the F operator: the manifold curves, and dimensions appear in terrain that was previously flat. It is the expensive step and it should not be rushed by lowering the standard for justification.

The C2 stall — synthesis without a question

A student who can synthesise but has no question of their own has completed U in form but not in content. The unfolding phase is the emergence of a new fixed point, not a summary of the old ones. The intervention is not more reading. It is to demand a falsifiable claim.

The false D1 — publication without contribution

Depositing a document is not crossing D1. The threshold is crossed when a research contribution extends the system itself. A paper that restates the framework in new words is a C2 artefact with a DOI.

Measuring ProgressTwo Honest Instruments

The first is retention. The stated open prediction is whether students who complete the 14-week program retain the three seed sentences with 90% recall one year later. That is a real number and it can come out badly.

The second is the compression ratio, which is the subject of Week 2 and is the only quantitative writing metric in the program that is not a proxy for length.

BridgesWhere This Connects

← PreviousDidactics · CEFR → TO/TOGT