The field
derivedFour things are read about each material: where it sits relative to others, the one quality it varies, how far it has moved from the thing in the hand toward the symbol, and the age children take it up. Three of them can be read from the books. The fourth cannot, and it is left empty rather than guessed.
Every material was read twice, independently. Where the two readings agreed, the reading stands. Where they differed it is shown as a difference and not averaged into one — 100% agreed (102 of 102 readings).
Difficulty
22
of 34 materials read
From the ordering sentences alone. Materials no book orders have no position, which is most of them.
The senses
30
of 34 materials read
4 isolate no single quality. That is recorded, not missing.
Abstraction
1
of 34 materials read
Read only where a sentence describes the movement outright. Most materials have none, and show nothing rather than a low reading.
Readiness
—
nothing read
This one waits for children. Age is something you see when a child chooses a material for herself, and no number of books will supply it.
The chains
Some materials present the same idea again with less of it left to hold — a chain running from the thing in the hand toward the symbol on paper. Where the books describe that movement, the chain can be drawn.
mathematics / decimal system
0 of 2 steps readEvery material in this chain is in the catalogue, and not one of them has a sentence describing the movement. The chain cannot be drawn from what the books say — only from what they name.
language
0 of 3 steps readEvery material in this chain is in the catalogue, and not one of them has a sentence describing the movement. The chain cannot be drawn from what the books say — only from what they name.
Named in the chains, absent from the books
These were written into the chains by hand before the books were read. The harvested corpus does not contain them — some because they are activities rather than objects, some because the volume that describes them has not been read yet. They are listed rather than quietly dropped.
- Numeral Cards with Beads
- Stamp Game
- Written algorithm
- Spontaneous writing
- Reading
What is not read yet
These are gaps in what has been read, not in what exists. Each is filled by reading more carefully, and none of them is filled by assuming.
Readings are computed from the two runs when this page renders — there is no merged answer stored anywhere. Every reading carries how it was reached, and the catalogue shows it beside the material. Read by google/gemini-3.7-flash (google-vertex), spec field-geometry-v4.