Emergencia del pensamiento algebraico en preescolar: estrategias de alumnos en relación con el concepto de equivalencia matemática
Bibliographic record
Abstract
En este artículo presentaremos los resultados de un estudio de investigación colaborativa realizado en Ontario, Canadá. El objetivo era caracterizar las estrategias de los alumnos de preescolar asociadas a un pensamiento algebraico con respecto a la noción de equivalencia matemática. Para esto, propusimos dos tareas a 36 estudiantes de tres clases y analizamos sus estrategias. Nuestros resultados destacan 14 estrategias utilizadas por los estudiantes para trabajar con el concepto de equivalencia; entre estas, tres facilitarían el establecimiento de un razonamiento asociado con un pensamiento algebraico. Nuestra investigación muestra que los niños pueden razonar sobre la noción de equivalencia en un sentido relacional, y esto desde el preescolar, mucho antes de que se introduzca el álgebra formal.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.005 | 0.017 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.005 | 0.005 |
| Scholarly communication | 0.005 | 0.002 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.006 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".