Las matemáticas que realizan los niños al compartir
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.
Bibliographic record
Abstract
espanolEl proposito de compartir es construir conjuntos equivalentes, un contexto ideal para el analisis de importantes conceptos cuantitativos como contar, equivalencia y cardinalidad. Mediante dos estudios se analizo como ninos de cuatro y cinco anos de edad comparten bloques en condiciones de reparto equitativo y de reciprocidad (en esta segunda situacion, un muneco partia, antes del reparto, con el doble de elementos que el otro) y se analizaron tambien sus inferencias cuantitativas realizadas sobre una coleccion, despues de contar los bloques de la otra. La investigadora pidio a los ninos que repartieran bloques dobles e individuales entre dos personajes. Los ninos tuvieron mas exito en la situacion de reparto equitativo que en la de reciprocidad. La mayoria de los ninos que tuvieron exito al compartir tambien hicieron inferencias numericas apropiadas. En el segundo estudio se emplearon monedas canadienses de uno y dos dolares para examinar la importancia de las senales perceptivas al compartir. Mientras que los bloques dobles tienen el doble de tamano de los individuales, no hay senales perceptivas que permitieran a los ninos comparar las monedas porque son todas del mismo tamano. Contrariamente a las expectativas, compartir con las monedas no fue mas dificil que con los bloques y la mayoria de los ninos realizaron inferencias numericas EnglishThe purpose of sharing is to construct equivalent sets, making it an ideal context for analysing important quantitative concepts such as counting, equivalence and cardinality. Two studies analysed how four- and five-year-olds shared blocks in equal sharing and reciprocity conditions and their number inferences about one set after counting the other. The researcher asked children to share double and single blocks between two characters. They succeeded more in building equivalent shares in an equal sharing than reciprocity condition. Most children who shared correctly also made appropriate number inferences. To examine whether perceptual cues helped children share the blocks, a second study used Canadian $1 and $2 coins. A double block is twice the size of a single, whereas there is no visual cue about the value relation between coins because they are the same size. Unexpectedly, children shared equally well with blocks and coins, and most children made number inferences
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 imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.004 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.001 | 0.005 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it