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Record W21546493 · doi:10.5951/tcm.16.8.0504

Back Talk: Amelia's mental images of numbers

2010· article· en· W21546493 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueTeaching Children Mathematics · 2010
Typearticle
Languageen
FieldArts and Humanities
TopicLiterary, Cultural, Historical Analysis
Canadian institutionsAlberta Advanced EducationUniversity of Alberta
Fundersnot available
KeywordsTileRepresentation (politics)MathematicsArithmeticComputer graphics (images)Mathematics educationVisual artsComputer scienceArtPolitics

Abstract

fetched live from OpenAlex

How did you know that? Because fives were like that [placing 5 tiles to show how the dots were arranged] . Like that [pointing to her representation of 5 using 4 red tiles and 1 blue tile] . And I saw another one like that [pointing to a second representation of 5 after adding 3 more tiles (2 red and 1 blue) and overlapping with the first representation {see fig. 3). Looking at the 3 extra unused tiles on the table to her left (1 red, 1 yellow, and 1 green), Amelia arranges them to look like another representation of 5, again overlapping by using 2 red tiles from the first representation.] I think there's ten. Let's check [pointing to each tile while counting] ; ten. That's how it was.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.677
Threshold uncertainty score0.996

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0050.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.010
GPT teacher head0.224
Teacher spread0.213 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it