Reading a frozen snapshot of the extraction artefacts, taken 2026-08-15 07:05 UTC at commit e96504e — 288 files. Figures are recounted from that snapshot, not from a live pipeline.
The Work Record

The dimensions development moves along.

Montessori, on dimensions — how abstract, how hard, how much of the senses, and when left to the child. Features are what we read; dimensions are what we measure; the path is what we offer.

Abstraction

From the thing in the hand to the symbol on paper.

The same idea, presented with less of it left to hold.

Difficulty

Her own gradient — the degree of ease with which a child performs the exercises.

Harder work becoming doable.

The senses

How much of the hand and the senses the work engages.

Read today as the one quality a material isolates — a label from a closed list, never a score.

Readiness

Deliberately empty. It waits for the child.

Age is something you see when a child chooses a material for herself.

Where each dimension comes from

Each of the four is drawn from something Montessori or her witnesses wrote down. The sentence is here, with the leaf it was read from — not a summary of it.

Abstraction

How abstract.

From the sentences in which a material is said to stand for something rather than be it — the passage from the thing in the hand to the symbol on paper. These sentences are rare and they are the only admissible basis for this dimension: a sentence about handling a material, however concrete, does not describe its distance from the symbol.

“We explain to the child that each bead of the first wnre is assumed to stand for one, or unity, as did the separate beads they have had before ; but each bead of the second wire stands for ten (or for one of the ten-bead bars) ; the value of each bead of the third wire is one hundred and represents the hundred chain”; and each bead on the last wire (which is separated from the others by the brass nail-head) has the same value as a thousand chain.””
no printed folio · leaf 239elementary

Read today on 1 material, not read on 33.

Difficulty

How hard.

From her own sentence about her own order. She states plainly that the sequence she gives is not a curriculum but a gradient of ease — which makes difficulty something she measured, and something a child's work can be read against.

“The order which I have given refers to the degree of ease with which the child performs the exercises.”
no printed folio · leaf 56Handbook

Read today on 22 materials, not read on 12.

The senses

How much of the senses.

From the apparatus itself. Each material isolates one quality and holds everything else still, and shows the child his own mistake through the sense it engages — the eye on a graded series, the hand along a rough surface, the ear at a bell.

Its sub-dimensions are the qualities the apparatus isolates one at a time. The books distinguish 7 of them in placed work: colour, dimension, form, quantity, sound, texture, written-language. Each is a sub-dimension of the senses, never a dimension of its own — and what a material carries today is one of these labels, or none. There is no overall senses score in this object.

“But in these games the eye easily recognises a mistake, and the teacher assists the child to detect errors by showing him how to pass his hand lightly up and down the steps of the Tower and Big Stair, or along the sides of the Long Stair.”
p. 98 · leaf 122folio read from leafStevens

Read today on 30 materials, not read on 4.

Readiness

And when left to the child.declared and empty

From her handing the order to the child. If when a child takes a material up is the child's to answer, then it cannot be read off a page — so this dimension is declared and left empty rather than filled from the books.

“The children are free to choose the exercises they prefer; but of course, as the teacher initiates them in each exercise, they only choose the objects they know how to use.”
no printed folio · leaf 119Advanced

That sentence is where the dimension comes from — not a reading on it. Nothing is placed on readiness, and nothing here may be.

Why this is real Montessori

These are her structures, quoted — not a framework laid over her work. She wrote that her order is a gradient of ease. She wrote the passage from the thing to the symbol. Her apparatus isolates one quality at a time, by construction, and shows the child his own error. And on the one question a curriculum would answer for the child — what comes next — every witness in this corpus hands the decision away.

8 declarations, and not one of them keeps the order

extracted

Every gated statement in the corpus about who decides the sequence, grouped by whom it is handed to. The books disagree about who — and agree that it is not the book.

handed to the child — 4 declarations
“The external material is then offered, and left freely to the natural individual energies of the children.”
no printed folio · leaf 103Maria Montessori — Advanced
“Although normally drawing comes after the sensory exercises, he was left at liberty to do what he wished;”
no printed folio · leaf 112Maria Montessori — Advanced
handed to the book — 1 declaration
“The order which I have given refers to the degree of ease with which the child performs the exercises.”
no printed folio · leaf 56Maria Montessori — Handbook
handed to the teacher — 1 declaration
“The teacher may select according to her own judgment certain forms from among the whole series at her disposal.”
no printed folio · leaf 83Maria Montessori — Handbook
handed to the mother — 2 declarations
“Order of Exercises to Be Modified According to Circumstances.”
p. 46 · leaf 72Dorothy Canfield Fisher — Fisher
“The order of exercises as hereafter indicated is to be followed with any ordinary child, but this must be modified according to circumstances.”
p. 47 · leaf 73Dorothy Canfield Fisher — Fisher

Why it doesn’t compromise the method

No score is ever put on a child.

Coordinates belong to the materials. A child has a region — which qualities their work has covered, how far into the stated order it reaches, how far toward the symbol. There is no percentile, no completion figure, and no child held against another. The record has nowhere to put one.

The order stays with the child.

The field shows what the constraints open next, and shows the sentence that opens it. It never says what a child must do, and it never holds a child to a schedule. Where the books state no sequence, the branch is shown as a branch.

Absence is stated, never estimated.

Read on 1 materials for abstraction and not read on 33: where the sentences do not carry a reading, the surface shows nothing rather than a low number. Readiness is empty for the same reason, and stays empty until children — not books — fill it.

The material's own criterion does the reading.

What is read is whether the work satisfied the control of error built into the material — the criterion the method already uses, made continuous. No rubric, no assessor, no test.

Replace the physical material with a screen and the senses dimension mutes.

Texture, sound and weight are not available to a screen, and a quality that cannot be engaged cannot be read. That is why the record photographs real work on a real mat rather than moving the material into software. This paragraph is our argument, not a quotation — it carries no leaf, because there is none to carry.

The space itself

derived

Every material the books name, placed where the sentences put it. Across: how far into the stated order it sits. Down the side: which quality it isolates — the senses, drawn as its sub-dimensions. The size of a dot is how much testimony stands behind it.

colourdimensionformquantitysoundtexturewritten-languageLong Stair — 1 sourced sentenceMovable Alphabet — placed from the books' description, not a quoted sentenceBead Frame — placed from the books' description, not a quoted sentenceCylinder Blocks — 1 sourced sentenceGolden Bead Bars of Ten — placed from the books' description, not a quoted sentenceGolden Bead Ten Bar — placed from the books' description, not a quoted sentenceGolden Bead Unit — placed from the books' description, not a quoted sentenceMonochord — 1 sourced sentenceSmall Bead Frame — placed from the books' description, not a quoted sentenceSolid Geometrical Insets — 1 sourced sentencePlane Geometric Insets — 1 sourced sentenceMetal Insets — placed from the books' description, not a quoted sentencePink Tower — 3 sourced sentencesSandpaper Letters — placed from the books' description, not a quoted sentenceMusical Bells — placed from the books' description, not a quoted sentenceBroad Stair — 1 sourced sentenceGeometric Cards — placed from the books' description, not a quoted sentenceLong Stair — placed from the books' description, not a quoted sentencePlane Geometric Insets — placed from the books' description, not a quoted sentenceSandpaper Board No. 1 — placed from the books' description, not a quoted sentenceSandpaper Board No. 2 — placed from the books' description, not a quoted sentenceSandpaper Boards — placed from the books' description, not a quoted sentencePlane Geometrical Insets — 1 sourced sentenceRough and Smooth Board — placed from the books' description, not a quoted sentenceSensorial Rods — placed from the books' description, not a quoted sentenceSolid Insets — 2 sourced sentencesTouch Board with Graduated Strips — placed from the books' description, not a quoted sentenceBoxes of Fabrics — placed from the books' description, not a quoted sentenceColour Boxes — placed from the books' description, not a quoted sentenceRough and Smooth Boards — placed from the books' description, not a quoted sentencenothingorders ittaken up earlierlater
one dot, one material201 more are named in the books and not yet read — not drawn, because we never estimate.

Abstraction is not drawn as an axis here, and the reason is the honest one: exactly 1 material in the whole corpus carries a gated passage-to-symbol sentence, so an abstraction axis would be a picture of a single dot. It appears instead as the highest rung of the ladder below, where it is quoted. When the sentences arrive, the axis gets drawn.

The ladder

derived

Five stages, each drawn by something the books actually say. A stage is the furthest rung a child’s work has reached — not a level they are held to.

“The children are free to choose the exercises they prefer; but of course, as the teacher initiates them in each exercise, they only choose the objects they know how to use.”

Maria Montessori — Advanced, scan p. 119 — the order is the child’s to take, in Montessori's own voice. This ladder says where work has reached, never where a child ought to be.

  1. The symbolic threshold

    Work where the object stands for a quantity instead of being one.

    for example: Bead Frame

    A child at the threshold demonstration
  2. The furthest the books order

    The deepest chain any witness states, end to end.

    for example: Long Stair

  3. Across the senses

    Work spanning three or more different qualities, and two steps into the order.

    for example: Broad Stair, Colored Crayons

    A child mid-way demonstration
  4. The graded series

    Work that a witness places after something else — the first stated step.

    for example: Colour Boxes, Geometric Cards, Metal Insets, Musical Note Discs

    A child in the first months demonstration
  5. First distinctions

    The first materials — nothing in the books is put before them.

    for example: Boxes of Fabrics, Dressing Frames, Musical Bells, Plane Geometric Insets

Every placement, every deletion and every page number behind this picture is in the science.