For the first time, the Montessori method can be understood on dimensions.

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.

This child is developing.

Every child at their own pace.deriveddemonstration

A child at the threshold across one term. Up the side: the stages, drawn from what the books themselves order. The observations are illustrative; the stages are not.

what the field opens next — 1 sequenced · 11 open branches

No “ahead”, no “behind” — the method insists on her own pace.

How development is measured.

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.

Three children, at three stages

demonstration

These children are illustrative — no model read them and no child was observed. What they are placed on is real: every position below is computed from the same sourced sentences the science surfaces show.

A child in the first monthsearly sensorialThe graded series deriveddemonstration

A cylinder block with one socket empty and its cylinder standing on the mat — One piece of work. Drawn, not photographed — the record is of the work, never of the child.

what the material showedthe work shows its own error

One cylinder is left over and there is nowhere for it to sit. The material has shown the mistake without anyone saying a word.

breadth

dimension

of 7 qualities the books name

frontier

step 1 of 3

furthest: Pink Tower

toward the symbol

nothing read

no sentence describes it yet

what the field opens next2 sequenced · 3 open branches

Broad Stairdimensionsequenced
a witness places this after Pink Tower
Sensorial Rodsdimensionsequenced
a witness places this after Solid Insets
Cylinder Blocksdimensionopen branch
nothing in the books orders this — the choice is left open
Long Stairdimensionopen branch
nothing in the books orders this — the choice is left open
Solid Geometrical Insetsdimensionopen branch
nothing in the books orders this — the choice is left open

what the record says

She is working on one quality alone — how big a thing is — and she has begun to correct herself without being told.

What waits next is the same question asked of a different quality: rough against smooth, loud against soft.

The observations above are illustrative. The field they are placed on is not — every position is computed from the same sourced sentences the rest of this site shows.

A child mid-waythe passageAcross the senses deriveddemonstration

Three loose letters of a movable alphabet composed into a word on a mat — One piece of work. Drawn, not photographed — the record is of the work, never of the child.

what the material showedthe work holds

The word is composed and holds together. This witness states no control of error for the movable alphabet, so the record says so rather than inventing a criterion.

breadth

dimension, texture, written-language

of 7 qualities the books name

frontier

step 2 of 3

furthest: Broad Stair

toward the symbol

nothing read

no sentence describes it yet

what the field opens next2 sequenced · 8 open branches

Long Stairquantitysequenced
a witness places this after Broad Stair
Touch Board with Graduated Stripstexturesequenced
a witness places this after Rough and Smooth Board
Solid Insetsdimensionopen branch
nothing in the books orders this — the choice is left open
Boxes of Fabricstextureopen branch
nothing in the books orders this — the choice is left open
Rough and Smooth Boardstextureopen branch
nothing in the books orders this — the choice is left open
Sandpaper Board No. 1textureopen branch
nothing in the books orders this — the choice is left open
Sandpaper Boardstextureopen branch
nothing in the books orders this — the choice is left open
Cylinder Blocksdimensionopen branch
nothing in the books orders this — the choice is left open
Long Stairdimensionopen branch
nothing in the books orders this — the choice is left open
Solid Geometrical Insetsdimensionopen branch
nothing in the books orders this — the choice is left open

what the record says

His work now reaches across three different qualities, and he has gone as far into the harder end as anything the books order.

He has just begun to compose words from loose letters — the first work here that stands for something rather than being it.

The observations above are illustrative. The field they are placed on is not — every position is computed from the same sourced sentences the rest of this site shows.

A child at the thresholdthe symbolic thresholdThe symbolic threshold deriveddemonstration

A bead counting-frame with one bead moved on each of four wires — One piece of work. Drawn, not photographed — the record is of the work, never of the child.

what the material showedthe work holds

One bead is moved on each wire and the number is formed. What the bead is worth depends on the wire it sits on, not on the bead.

breadth

dimension, quantity, texture, written-language

of 7 qualities the books name

frontier

step 3 of 3

furthest: Long Stair

toward the symbol

0.70

Bead Frame

what the field opens next1 sequenced · 11 open branches

Touch Board with Graduated Stripstexturesequenced
a witness places this after Rough and Smooth Board
Solid Insetsdimensionopen branch
nothing in the books orders this — the choice is left open
Boxes of Fabricstextureopen branch
nothing in the books orders this — the choice is left open
Rough and Smooth Boardstextureopen branch
nothing in the books orders this — the choice is left open
Sandpaper Board No. 1textureopen branch
nothing in the books orders this — the choice is left open
Sandpaper Boardstextureopen branch
nothing in the books orders this — the choice is left open
Cylinder Blocksdimensionopen branch
nothing in the books orders this — the choice is left open
Golden Bead Bars of Tenquantityopen branch
nothing in the books orders this — the choice is left open
Golden Bead Ten Barquantityopen branch
nothing in the books orders this — the choice is left open
Long Stairdimensionopen branch
nothing in the books orders this — the choice is left open
Small Bead Framequantityopen branch
nothing in the books orders this — the choice is left open
Solid Geometrical Insetsdimensionopen branch
nothing in the books orders this — the choice is left open

what the record says

Her work covers four qualities and reaches the furthest point anything in these books is ordered to.

She has crossed into work where the object stands for a quantity instead of being one — the only such crossing the books state outright, and it is quoted beneath.

The observations above are illustrative. The field they are placed on is not — every position is computed from the same sourced sentences the rest of this site shows.

the sentence behind that readingextracted

“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

Three children, three stages, one gauge. Development is the climb.

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